![[Jenkins]](/csi/static/ed5fb3b7/images/svgs/logo.svg){kind=logo}
Passed
gpkit.tests.from_paths.TestFiles.test_SPaircraft_py_mosek (from gpkit.tests.from_paths.TestFiles-20190901152400)
Standard Output
Mission
=======
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission.Aircraft.Wing.WingBox.N_{lift} = 3
Mission.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission.Aircraft.VerticalTail.WingBox.N_{lift}*Mission.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission.Aircraft.Wing.WingBox.r_{w/c} = Mission.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission.Aircraft.Fuselage.N_{lift} = Mission.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 867
Optimizer - Cones : 0
Optimizer - Scalar variables : 3450 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.48e+004 after factor : 1.48e+005
Factor - dense dim. : 0 flops : 2.91e+007
Factor - GP saved nzs : 3.33e+004 GP saved flops : 9.12e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.1e+003 1.2e+005 0.00e+000 -1.229654184e+005 2.000000000e+000 1.0e+000 0.06
1 1.6e+003 2.1e+003 8.5e+004 -9.71e-001 -1.220933662e+005 2.766906366e+000 6.9e-001 0.14
2 8.2e+002 1.1e+003 4.5e+004 -9.57e-001 -1.196380037e+005 5.080922819e+000 3.6e-001 0.22
3 2.9e+002 3.9e+002 1.6e+004 -9.16e-001 -1.109422977e+005 2.155821611e+001 1.3e-001 0.28
4 2.9e+002 3.9e+002 1.6e+004 -7.70e-001 -1.089937613e+005 1.716633346e+003 1.3e-001 0.36
5 1.1e+002 1.5e+002 6.0e+003 -7.61e-001 -8.527950662e+004 6.684630604e+003 4.9e-002 0.44
6 3.8e+001 5.0e+001 2.0e+003 -4.15e-001 -4.589714486e+004 1.066199112e+004 1.7e-002 0.50
7 2.0e+001 2.7e+001 1.1e+003 2.50e-001 -2.882346884e+004 7.006668007e+003 9.0e-003 0.58
8 9.3e+000 1.2e+001 5.0e+002 5.67e-001 -1.399096273e+004 4.222492405e+003 4.1e-003 0.66
9 4.8e+000 6.5e+000 2.6e+002 8.28e-001 -7.185408994e+003 2.539014185e+003 2.1e-003 0.72
10 1.4e+000 1.9e+000 7.7e+001 9.31e-001 -2.008421594e+003 9.396575617e+002 6.4e-004 0.80
11 6.5e-001 8.7e-001 3.6e+001 9.94e-001 -6.991135083e+002 6.660256052e+002 3.0e-004 0.86
12 4.8e-001 6.5e-001 2.6e+001 9.96e-001 -4.541860724e+002 5.573962991e+002 2.2e-004 0.94
13 3.5e-001 7.3e-001 1.9e+001 9.80e-001 -2.731372315e+002 4.753804548e+002 1.6e-004 1.02
14 1.7e-001 3.7e-001 9.5e+000 9.96e-001 -3.782945803e+000 3.644269123e+002 8.0e-005 1.08
15 5.6e-002 1.5e-001 3.2e+000 9.94e-001 1.674125439e+002 2.896430807e+002 2.7e-005 1.16
16 3.3e-002 1.3e-001 1.9e+000 1.00e+000 2.025109590e+002 2.744449201e+002 1.6e-005 1.22
17 5.2e-003 1.8e-001 3.2e-001 1.00e+000 2.448703769e+002 2.572667007e+002 2.9e-006 1.30
18 1.5e-003 1.3e-001 9.5e-002 1.00e+000 2.510577709e+002 2.546974711e+002 8.5e-007 1.38
19 4.9e-004 1.1e-001 3.1e-002 1.00e+000 2.528188946e+002 2.540251949e+002 2.9e-007 1.44
20 2.2e-004 8.7e-002 1.4e-002 1.00e+000 2.533042080e+002 2.538367251e+002 1.3e-007 1.52
21 1.9e-004 7.9e-002 1.2e-002 1.00e+000 2.533437043e+002 2.538229805e+002 1.1e-007 1.59
22 1.7e-004 7.2e-002 1.1e-002 1.00e+000 2.533781329e+002 2.538094556e+002 1.0e-007 1.67
23 1.6e-004 6.5e-002 1.0e-002 1.00e+000 2.534091579e+002 2.537973313e+002 9.2e-008 1.75
24 1.4e-004 6.0e-002 9.1e-003 1.00e+000 2.534370547e+002 2.537863963e+002 8.3e-008 1.81
25 1.3e-004 5.4e-002 8.2e-003 1.00e+000 2.534621433e+002 2.537765388e+002 7.5e-008 1.88
26 1.1e-004 5.0e-002 7.4e-003 1.00e+000 2.534847060e+002 2.537676519e+002 6.7e-008 1.95
27 1.0e-004 4.5e-002 6.6e-003 1.00e+000 2.535049991e+002 2.537596422e+002 6.1e-008 2.03
28 9.3e-005 4.2e-002 6.0e-003 1.00e+000 2.535232519e+002 2.537524240e+002 5.4e-008 2.09
29 8.4e-005 3.8e-002 5.4e-003 1.00e+000 2.535396705e+002 2.537459199e+002 4.9e-008 2.17
30 7.5e-005 3.5e-002 4.8e-003 1.00e+000 2.535544399e+002 2.537400599e+002 4.4e-008 2.25
31 6.8e-005 3.2e-002 4.4e-003 1.00e+000 2.535677261e+002 2.537347806e+002 4.0e-008 2.31
32 6.1e-005 3.0e-002 3.9e-003 1.00e+000 2.535796786e+002 2.537300247e+002 3.6e-008 2.39
33 5.5e-005 2.8e-002 3.5e-003 1.00e+000 2.535904314e+002 2.537257407e+002 3.2e-008 2.47
34 4.9e-005 2.6e-002 3.2e-003 1.00e+000 2.536001053e+002 2.537218818e+002 2.9e-008 2.53
35 4.4e-005 2.4e-002 2.9e-003 1.00e+000 2.536088086e+002 2.537184061e+002 2.6e-008 2.61
36 4.0e-005 2.2e-002 2.6e-003 1.00e+000 2.536166390e+002 2.537152756e+002 2.3e-008 2.67
37 3.6e-005 2.1e-002 2.3e-003 1.00e+000 2.536236840e+002 2.537124562e+002 2.1e-008 2.75
38 3.2e-005 1.9e-002 2.1e-003 1.00e+000 2.536300227e+002 2.537099169e+002 1.9e-008 2.83
39 2.9e-005 1.8e-002 1.9e-003 1.00e+000 2.536357258e+002 2.537076301e+002 1.7e-008 2.89
40 2.6e-005 1.7e-002 1.7e-003 1.00e+000 2.536408572e+002 2.537055708e+002 1.5e-008 2.97
41 2.4e-005 1.6e-002 1.5e-003 1.00e+000 2.536454744e+002 2.537037163e+002 1.4e-008 3.03
42 2.1e-005 1.5e-002 1.4e-003 1.00e+000 2.536496289e+002 2.537020464e+002 1.2e-008 3.09
43 1.9e-005 1.5e-002 1.2e-003 1.00e+000 2.536533671e+002 2.537005428e+002 1.1e-008 3.14
44 1.7e-005 1.4e-002 1.1e-003 1.00e+000 2.536567309e+002 2.536991889e+002 1.0e-008 3.17
45 1.5e-005 1.3e-002 1.0e-003 1.00e+000 2.536597578e+002 2.536979699e+002 9.1e-009 3.22
46 1.4e-005 1.3e-002 9.0e-004 1.00e+000 2.536624815e+002 2.536968724e+002 8.2e-009 3.25
47 1.3e-005 1.2e-002 8.1e-004 1.00e+000 2.536649325e+002 2.536958843e+002 7.4e-009 3.28
48 1.1e-005 1.2e-002 7.3e-004 1.00e+000 2.536671381e+002 2.536949948e+002 6.6e-009 3.31
49 1.0e-005 1.1e-002 6.5e-004 1.00e+000 2.536691229e+002 2.536941939e+002 6.0e-009 3.36
50 9.1e-006 1.1e-002 5.9e-004 1.00e+000 2.536709091e+002 2.536934730e+002 5.4e-009 3.39
51 8.2e-006 1.1e-002 5.3e-004 1.00e+000 2.536725165e+002 2.536928240e+002 4.8e-009 3.42
52 7.4e-006 1.0e-002 4.8e-004 1.00e+000 2.536739630e+002 2.536922398e+002 4.3e-009 3.47
53 6.7e-006 1.0e-002 4.3e-004 1.00e+000 2.536752647e+002 2.536917139e+002 3.9e-009 3.50
54 6.0e-006 9.8e-003 3.9e-004 1.00e+000 2.536764362e+002 2.536912405e+002 3.5e-009 3.53
55 5.4e-006 9.6e-003 3.5e-004 1.00e+000 2.536774905e+002 2.536908144e+002 3.2e-009 3.56
56 4.9e-006 9.4e-003 3.1e-004 1.00e+000 2.536784393e+002 2.536904308e+002 2.9e-009 3.61
57 4.4e-006 9.2e-003 2.8e-004 1.00e+000 2.536792931e+002 2.536900855e+002 2.6e-009 3.69
58 3.9e-006 9.0e-003 2.5e-004 1.00e+000 2.536800615e+002 2.536897747e+002 2.3e-009 3.77
59 3.5e-006 8.9e-003 2.3e-004 1.00e+000 2.536807530e+002 2.536894949e+002 2.1e-009 3.83
60 3.2e-006 8.7e-003 2.1e-004 1.00e+000 2.536813753e+002 2.536892431e+002 1.9e-009 3.89
61 1.2e-006 3.4e-003 8.0e-005 1.00e+000 2.536847926e+002 2.536878589e+002 7.3e-010 3.95
62 1.1e-006 3.1e-003 7.2e-005 1.00e+000 2.536850113e+002 2.536877710e+002 6.6e-010 4.02
63 4.0e-007 1.1e-003 2.6e-005 1.00e+000 2.536862696e+002 2.536872610e+002 2.4e-010 4.09
64 3.6e-007 9.9e-004 2.3e-005 1.00e+000 2.536863402e+002 2.536872324e+002 2.1e-010 4.16
65 3.2e-007 8.9e-004 2.1e-005 1.00e+000 2.536864036e+002 2.536872067e+002 1.9e-010 4.24
66 2.9e-007 8.0e-004 1.9e-005 1.00e+000 2.536864607e+002 2.536871835e+002 1.7e-010 4.30
67 2.6e-007 7.2e-004 1.7e-005 1.00e+000 2.536865121e+002 2.536871626e+002 1.5e-010 4.36
68 2.4e-007 6.5e-004 1.5e-005 1.00e+000 2.536865584e+002 2.536871438e+002 1.4e-010 4.44
69 2.1e-007 5.8e-004 1.4e-005 1.00e+000 2.536866000e+002 2.536871269e+002 1.3e-010 4.52
70 1.9e-007 5.2e-004 1.2e-005 1.00e+000 2.536866375e+002 2.536871117e+002 1.1e-010 4.59
71 1.7e-007 4.7e-004 1.1e-005 1.00e+000 2.536866712e+002 2.536870980e+002 1.0e-010 4.66
72 1.6e-007 4.2e-004 1.0e-005 1.00e+000 2.536867016e+002 2.536870857e+002 9.1e-011 4.74
73 1.4e-007 3.8e-004 9.0e-006 1.00e+000 2.536867289e+002 2.536870746e+002 8.2e-011 4.80
74 1.3e-007 3.4e-004 8.1e-006 1.00e+000 2.536867535e+002 2.536870646e+002 7.4e-011 4.88
75 1.1e-007 3.1e-004 7.3e-006 1.00e+000 2.536867756e+002 2.536870556e+002 6.7e-011 4.95
76 1.0e-007 2.8e-004 6.6e-006 1.00e+000 2.536867955e+002 2.536870475e+002 6.0e-011 5.02
77 9.2e-008 2.5e-004 5.9e-006 1.00e+000 2.536868134e+002 2.536870403e+002 5.4e-011 5.08
78 8.3e-008 2.3e-004 5.3e-006 1.00e+000 2.536868296e+002 2.536870337e+002 4.9e-011 5.16
79 7.4e-008 2.0e-004 4.8e-006 1.00e+000 2.536868441e+002 2.536870278e+002 4.4e-011 5.22
80 6.7e-008 1.8e-004 4.3e-006 1.00e+000 2.536868571e+002 2.536870225e+002 3.9e-011 5.30
81 6.0e-008 1.6e-004 3.9e-006 1.00e+000 2.536868689e+002 2.536870177e+002 3.5e-011 5.36
82 5.4e-008 1.5e-004 3.5e-006 1.00e+000 2.536868795e+002 2.536870134e+002 3.2e-011 5.42
83 4.9e-008 1.3e-004 3.1e-006 1.00e+000 2.536868890e+002 2.536870095e+002 2.9e-011 5.50
84 4.4e-008 1.2e-004 2.8e-006 1.00e+000 2.536868976e+002 2.536870060e+002 2.6e-011 5.56
85 4.0e-008 1.1e-004 2.5e-006 1.00e+000 2.536869053e+002 2.536870029e+002 2.3e-011 5.64
86 3.6e-008 9.7e-005 2.3e-006 1.00e+000 2.536869122e+002 2.536870001e+002 2.1e-011 5.70
87 3.2e-008 8.7e-005 2.1e-006 1.00e+000 2.536869185e+002 2.536869975e+002 1.9e-011 5.77
88 2.9e-008 7.9e-005 1.9e-006 1.00e+000 2.536869241e+002 2.536869953e+002 1.7e-011 5.84
89 2.6e-008 7.1e-005 1.7e-006 1.00e+000 2.536869291e+002 2.536869932e+002 1.5e-011 5.91
90 2.3e-008 6.4e-005 1.5e-006 1.00e+000 2.536869337e+002 2.536869913e+002 1.4e-011 5.99
91 2.1e-008 5.7e-005 1.4e-006 1.00e+000 2.536869378e+002 2.536869897e+002 1.2e-011 6.06
92 1.9e-008 5.2e-005 1.2e-006 9.99e-001 2.536869415e+002 2.536869882e+002 1.1e-011 6.11
93 1.7e-008 4.6e-005 1.1e-006 1.00e+000 2.536869448e+002 2.536869868e+002 1.0e-011 6.19
94 1.5e-008 4.2e-005 9.9e-007 1.00e+000 2.536869478e+002 2.536869856e+002 9.0e-012 6.25
95 1.4e-008 3.8e-005 8.9e-007 1.00e+000 2.536869505e+002 2.536869845e+002 8.1e-012 6.33
96 1.2e-008 3.4e-005 8.0e-007 1.00e+000 2.536869529e+002 2.536869835e+002 7.3e-012 6.39
97 1.1e-008 3.1e-005 7.2e-007 1.00e+000 2.536869551e+002 2.536869826e+002 6.6e-012 6.47
Interior-point optimizer terminated. Time: 6.47.
Optimizer terminated. Time: 6.51
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695506e+002 nrm: 4e+001 Viol. con: 2e-007 var: 0e+000
Dual. obj: 2.5368698263e+002 nrm: 8e+002 Viol. con: 0e+000 var: 2e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 6.54 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (313) of matrix 'A'.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.01
Factor - nonzeros before factor : 1.48e+004 after factor : 1.48e+005
Factor - dense dim. : 0 flops : 2.93e+007
Factor - GP saved nzs : 3.33e+004 GP saved flops : 9.12e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.1e+003 1.2e+005 0.00e+000 -1.226217652e+005 2.000000000e+000 1.0e+000 0.05
1 1.6e+003 2.1e+003 8.5e+004 -9.71e-001 -1.217757507e+005 2.751265607e+000 7.0e-001 0.13
2 7.9e+002 1.1e+003 4.2e+004 -9.57e-001 -1.190373986e+005 5.330342286e+000 3.5e-001 0.19
3 2.9e+002 3.9e+002 1.6e+004 -9.12e-001 -1.106678927e+005 2.214320615e+001 1.3e-001 0.25
4 2.9e+002 3.9e+002 1.6e+004 -7.70e-001 -1.087706970e+005 1.671231613e+003 1.3e-001 0.33
5 1.2e+002 1.7e+002 6.7e+003 -7.62e-001 -8.832741583e+004 6.011828880e+003 5.5e-002 0.41
6 3.9e+001 5.2e+001 2.1e+003 -4.65e-001 -4.678232398e+004 1.101923718e+004 1.7e-002 0.47
7 2.3e+001 3.1e+001 1.2e+003 2.31e-001 -3.153548321e+004 7.305431055e+003 1.0e-002 0.55
8 9.1e+000 1.2e+001 4.9e+002 5.19e-001 -1.376407587e+004 3.968205216e+003 4.0e-003 0.63
9 6.0e+000 8.1e+000 3.2e+002 8.31e-001 -9.139381105e+003 2.854016049e+003 2.7e-003 0.70
10 2.1e+000 2.8e+000 1.1e+002 9.02e-001 -3.117012748e+003 1.205575374e+003 9.4e-004 0.77
11 1.5e+000 2.0e+000 8.0e+001 9.76e-001 -2.106512099e+003 9.650781377e+002 6.6e-004 0.83
12 8.1e-001 1.2e+000 4.4e+001 9.80e-001 -1.065816719e+003 6.236278493e+002 3.6e-004 0.86
13 4.1e-001 7.3e-001 2.3e+001 9.88e-001 -4.563391396e+002 4.140752374e+002 1.9e-004 0.89
14 1.9e-001 3.4e-001 1.0e+001 1.00e+000 -1.142020924e+002 2.896385168e+002 8.8e-005 0.92
15 6.6e-002 1.5e-001 3.7e+000 1.00e+000 7.172342818e+001 2.137404199e+002 3.1e-005 0.97
16 2.9e-002 1.2e-001 1.6e+000 1.01e+000 1.271309373e+002 1.901599088e+002 1.4e-005 1.00
17 9.1e-003 1.1e-001 5.3e-001 1.01e+000 1.579841895e+002 1.781403643e+002 4.6e-006 1.03
18 3.8e-003 9.0e-002 2.2e-001 1.01e+000 1.663150639e+002 1.748018185e+002 1.9e-006 1.08
19 9.3e-004 1.3e-001 5.7e-002 1.01e+000 1.708421518e+002 1.729992040e+002 5.1e-007 1.11
20 3.5e-004 9.8e-002 2.2e-002 1.00e+000 1.718083243e+002 1.726401689e+002 2.0e-007 1.17
21 1.3e-004 1.0e-001 8.2e-003 1.00e+000 1.721836709e+002 1.724949683e+002 7.4e-008 1.25
22 4.7e-005 9.5e-002 2.9e-003 1.00e+000 1.723246460e+002 1.724365755e+002 2.7e-008 1.31
23 4.2e-005 8.7e-002 2.7e-003 1.00e+000 1.723332429e+002 1.724339881e+002 2.4e-008 1.38
24 3.8e-005 8.0e-002 2.4e-003 1.00e+000 1.723404330e+002 1.724311003e+002 2.2e-008 1.44
25 3.4e-005 7.2e-002 2.2e-003 1.00e+000 1.723468780e+002 1.724284758e+002 1.9e-008 1.50
26 3.1e-005 6.6e-002 1.9e-003 1.00e+000 1.723526637e+002 1.724260989e+002 1.8e-008 1.56
27 2.8e-005 6.0e-002 1.7e-003 1.00e+000 1.723578623e+002 1.724239514e+002 1.6e-008 1.64
28 2.5e-005 5.5e-002 1.6e-003 1.00e+000 1.723625351e+002 1.724220129e+002 1.4e-008 1.70
29 2.3e-005 5.0e-002 1.4e-003 1.00e+000 1.723667360e+002 1.724202641e+002 1.3e-008 1.77
30 2.0e-005 4.6e-002 1.3e-003 1.00e+000 1.723705133e+002 1.724186869e+002 1.2e-008 1.83
31 1.8e-005 4.2e-002 1.1e-003 1.00e+000 1.723739097e+002 1.724172646e+002 1.0e-008 1.89
32 1.6e-005 3.9e-002 1.0e-003 1.00e+000 1.723769640e+002 1.724159823e+002 9.3e-009 1.95
33 1.5e-005 3.6e-002 9.3e-004 1.00e+000 1.723797108e+002 1.724148263e+002 8.4e-009 2.02
34 1.3e-005 3.3e-002 8.3e-004 1.00e+000 1.723821812e+002 1.724137843e+002 7.6e-009 2.08
35 1.2e-005 3.0e-002 7.5e-004 1.00e+000 1.723844031e+002 1.724128453e+002 6.8e-009 2.14
36 1.1e-005 2.8e-002 6.8e-004 1.00e+000 1.723864015e+002 1.724119990e+002 6.1e-009 2.20
37 9.7e-006 2.6e-002 6.1e-004 1.00e+000 1.723881991e+002 1.724112364e+002 5.5e-009 2.27
38 8.7e-006 2.4e-002 5.5e-004 1.00e+000 1.723898160e+002 1.724105492e+002 5.0e-009 2.33
39 7.9e-006 2.3e-002 4.9e-004 1.00e+000 1.723912705e+002 1.724099302e+002 4.5e-009 2.39
40 7.1e-006 2.1e-002 4.4e-004 1.00e+000 1.723925790e+002 1.724093724e+002 4.0e-009 2.45
41 6.4e-006 2.0e-002 4.0e-004 1.00e+000 1.723937561e+002 1.724088700e+002 3.6e-009 2.52
42 5.7e-006 1.9e-002 3.6e-004 1.00e+000 1.723948150e+002 1.724084175e+002 3.3e-009 2.58
43 5.2e-006 1.7e-002 3.2e-004 1.00e+000 1.723957677e+002 1.724080098e+002 2.9e-009 2.64
44 4.6e-006 1.6e-002 2.9e-004 1.00e+000 1.723966249e+002 1.724076427e+002 2.6e-009 2.70
45 4.2e-006 1.6e-002 2.6e-004 1.00e+000 1.723973960e+002 1.724073120e+002 2.4e-009 2.77
46 3.8e-006 1.5e-002 2.4e-004 1.00e+000 1.723980899e+002 1.724070142e+002 2.1e-009 2.84
47 3.4e-006 1.4e-002 2.1e-004 1.00e+000 1.723987142e+002 1.724067460e+002 1.9e-009 2.89
48 3.0e-006 1.3e-002 1.9e-004 1.00e+000 1.723992759e+002 1.724065045e+002 1.7e-009 2.95
49 2.7e-006 1.3e-002 1.7e-004 1.00e+000 1.723997813e+002 1.724062871e+002 1.6e-009 3.03
50 2.5e-006 1.2e-002 1.5e-004 1.00e+000 1.724002361e+002 1.724060913e+002 1.4e-009 3.09
51 2.2e-006 1.2e-002 1.4e-004 1.00e+000 1.724006453e+002 1.724059149e+002 1.3e-009 3.17
52 2.0e-006 1.1e-002 1.3e-004 1.00e+000 1.724010135e+002 1.724057562e+002 1.1e-009 3.23
53 1.8e-006 1.1e-002 1.1e-004 1.00e+000 1.724013448e+002 1.724056132e+002 1.0e-009 3.30
54 1.6e-006 1.1e-002 1.0e-004 1.00e+000 1.724016429e+002 1.724054845e+002 9.2e-010 3.36
55 1.5e-006 1.0e-002 9.1e-005 1.00e+000 1.724019112e+002 1.724053686e+002 8.3e-010 3.42
56 1.3e-006 1.0e-002 8.2e-005 1.00e+000 1.724021526e+002 1.724052643e+002 7.4e-010 3.48
57 1.2e-006 9.9e-003 7.4e-005 1.00e+000 1.724023698e+002 1.724051704e+002 6.7e-010 3.55
58 1.1e-006 9.7e-003 6.7e-005 1.00e+000 1.724025653e+002 1.724050858e+002 6.0e-010 3.61
59 9.5e-007 9.5e-003 6.0e-005 1.00e+000 1.724027412e+002 1.724050096e+002 5.4e-010 3.67
60 8.6e-007 9.3e-003 5.4e-005 1.00e+000 1.724028995e+002 1.724049411e+002 4.9e-010 3.73
61 7.7e-007 9.1e-003 4.8e-005 1.00e+000 1.724030419e+002 1.724048794e+002 4.4e-010 3.80
62 7.0e-007 9.0e-003 4.4e-005 1.00e+000 1.724031701e+002 1.724048238e+002 4.0e-010 3.86
63 6.3e-007 8.8e-003 3.9e-005 1.00e+000 1.724032854e+002 1.724047738e+002 3.6e-010 3.94
64 5.6e-007 8.7e-003 3.5e-005 1.00e+000 1.724033892e+002 1.724047287e+002 3.2e-010 3.98
65 5.1e-007 8.6e-003 3.2e-005 1.00e+000 1.724034826e+002 1.724046882e+002 2.9e-010 4.05
66 4.6e-007 8.5e-003 2.9e-005 1.00e+000 1.724035666e+002 1.724046517e+002 2.6e-010 4.11
67 4.1e-007 8.4e-003 2.6e-005 1.00e+000 1.724036423e+002 1.724046188e+002 2.3e-010 4.19
68 3.7e-007 8.3e-003 2.3e-005 1.00e+000 1.724037103e+002 1.724045892e+002 2.1e-010 4.25
69 3.3e-007 8.2e-003 2.1e-005 1.00e+000 1.724037716e+002 1.724045626e+002 1.9e-010 4.31
70 3.0e-007 8.1e-003 1.9e-005 1.00e+000 1.724038267e+002 1.724045386e+002 1.7e-010 4.38
71 2.7e-007 8.1e-003 1.7e-005 1.00e+000 1.724038763e+002 1.724045170e+002 1.5e-010 4.44
72 2.4e-007 8.0e-003 1.5e-005 9.99e-001 1.724039209e+002 1.724044976e+002 1.4e-010 4.50
73 2.2e-007 8.0e-003 1.4e-005 1.00e+000 1.724039611e+002 1.724044800e+002 1.2e-010 4.56
74 2.0e-007 7.9e-003 1.2e-005 1.00e+000 1.724039972e+002 1.724044643e+002 1.1e-010 4.63
75 1.8e-007 7.9e-003 1.1e-005 1.00e+000 1.724040297e+002 1.724044501e+002 1.0e-010 4.69
76 1.6e-007 7.8e-003 1.0e-005 9.98e-001 1.724040590e+002 1.724044374e+002 9.1e-011 4.75
77 1.4e-007 7.8e-003 9.0e-006 1.00e+000 1.724040853e+002 1.724044259e+002 8.1e-011 4.81
78 1.3e-007 7.7e-003 8.1e-006 1.00e+000 1.724041090e+002 1.724044155e+002 7.3e-011 4.88
79 1.2e-007 7.7e-003 7.3e-006 1.00e+000 1.724041305e+002 1.724044061e+002 6.6e-011 4.94
80 1.0e-007 7.7e-003 6.6e-006 9.99e-001 1.724041497e+002 1.724043978e+002 5.9e-011 5.00
81 9.4e-008 7.7e-003 5.9e-006 9.93e-001 1.724041670e+002 1.724043902e+002 5.3e-011 5.06
82 8.5e-008 7.6e-003 5.3e-006 1.00e+000 1.724041825e+002 1.724043834e+002 4.8e-011 5.13
83 7.6e-008 6.9e-003 4.8e-006 1.01e+000 1.724041971e+002 1.724043771e+002 4.4e-011 5.19
84 6.9e-008 6.2e-003 4.3e-006 1.02e+000 1.724042104e+002 1.724043712e+002 3.9e-011 5.25
85 6.2e-008 5.6e-003 3.9e-006 9.95e-001 1.724042216e+002 1.724043663e+002 3.6e-011 5.33
86 5.6e-008 5.0e-003 3.5e-006 9.89e-001 1.724042316e+002 1.724043619e+002 3.2e-011 5.39
87 5.0e-008 4.5e-003 3.1e-006 9.75e-001 1.724042406e+002 1.724043581e+002 2.9e-011 5.45
88 4.5e-008 4.1e-003 2.8e-006 9.71e-001 1.724042488e+002 1.724043545e+002 2.6e-011 5.52
89 4.2e-008 3.7e-003 2.5e-006 9.86e-001 1.724042561e+002 1.724043514e+002 2.3e-011 5.58
90 3.8e-008 3.3e-003 2.3e-006 9.99e-001 1.724042627e+002 1.724043485e+002 2.1e-011 5.64
91 3.3e-008 3.0e-003 2.1e-006 1.01e+000 1.724042690e+002 1.724043455e+002 1.9e-011 5.70
92 3.0e-008 2.7e-003 1.9e-006 9.88e-001 1.724042743e+002 1.724043433e+002 1.7e-011 5.77
93 2.9e-008 2.4e-003 1.7e-006 9.65e-001 1.724042790e+002 1.724043413e+002 1.5e-011 5.83
94 2.6e-008 2.2e-003 1.5e-006 9.80e-001 1.724042833e+002 1.724043394e+002 1.4e-011 5.89
95 2.5e-008 1.9e-003 1.3e-006 1.03e+000 1.724042878e+002 1.724043369e+002 1.3e-011 5.95
96 6.2e-008 5.0e-004 3.5e-007 7.89e-001 1.724043125e+002 1.724043244e+002 2.6e-012 6.02
97 1.2e-007 4.8e-004 3.4e-007 8.84e-001 1.724043143e+002 1.724043227e+002 2.1e-012 6.08
98 1.2e-007 4.8e-004 3.4e-007 1.00e+000 1.724043143e+002 1.724043227e+002 2.1e-012 6.13
Interior-point optimizer terminated. Time: 6.14.
Optimizer terminated. Time: 6.16
solsta = 8, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : NEAR_OPTIMAL
Primal. obj: 1.7240431433e+002 nrm: 4e+001 Viol. con: 2e-006 var: 0e+000
Dual. obj: 1.7240432272e+002 nrm: 8e+002 Viol. con: 0e+000 var: 2e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 6.18 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.02
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.01
Factor - nonzeros before factor : 1.48e+004 after factor : 1.48e+005
Factor - dense dim. : 0 flops : 2.93e+007
Factor - GP saved nzs : 3.33e+004 GP saved flops : 9.12e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.1e+003 1.2e+005 0.00e+000 -1.227329895e+005 2.000000000e+000 1.0e+000 0.05
1 1.6e+003 2.2e+003 8.8e+004 -9.71e-001 -1.219819119e+005 2.645989959e+000 7.2e-001 0.09
2 8.4e+002 1.1e+003 4.5e+004 -9.59e-001 -1.195380051e+005 4.830716767e+000 3.7e-001 0.13
3 2.9e+002 3.9e+002 1.6e+004 -9.18e-001 -1.108216106e+005 2.032677367e+001 1.3e-001 0.17
4 2.9e+002 3.9e+002 1.6e+004 -7.72e-001 -1.087186359e+005 1.854008088e+003 1.3e-001 0.20
5 1.2e+002 1.7e+002 6.6e+003 -7.63e-001 -8.830307750e+004 6.076042731e+003 5.5e-002 0.23
6 4.4e+001 5.8e+001 2.3e+003 -4.63e-001 -5.106761750e+004 1.035475360e+004 1.9e-002 0.27
7 2.6e+001 3.5e+001 1.4e+003 1.62e-001 -3.516517247e+004 7.223163731e+003 1.1e-002 0.30
8 1.3e+001 1.7e+001 6.8e+002 4.63e-001 -1.916964299e+004 4.619901604e+003 5.6e-003 0.33
9 4.5e+000 6.0e+000 2.4e+002 7.42e-001 -6.813662207e+003 2.197894711e+003 2.0e-003 0.36
10 3.3e+000 4.4e+000 1.8e+002 9.39e-001 -4.971325611e+003 1.758353481e+003 1.5e-003 0.39
11 1.1e+000 1.5e+000 5.9e+001 9.61e-001 -1.543336712e+003 7.017437610e+002 4.9e-004 0.41
12 8.7e-001 1.2e+000 4.8e+001 9.87e-001 -1.202281488e+003 6.244021558e+002 3.9e-004 0.44
13 7.1e-001 1.0e+000 3.8e+001 9.68e-001 -9.556455581e+002 5.353933935e+002 3.2e-004 0.47
14 3.7e-001 5.3e-001 2.0e+001 9.89e-001 -3.943857439e+002 3.866075045e+002 1.7e-004 0.50
15 1.9e-001 2.8e-001 1.1e+001 9.96e-001 -1.394107308e+002 2.700325408e+002 8.8e-005 0.53
16 8.6e-002 1.6e-001 4.8e+000 1.00e+000 1.968886509e+001 2.042784657e+002 4.0e-005 0.56
17 7.8e-002 1.5e-001 4.3e+000 1.01e+000 4.067907588e+001 2.075436655e+002 3.6e-005 0.61
18 3.1e-002 8.8e-002 1.8e+000 1.01e+000 1.154426718e+002 1.828320860e+002 1.5e-005 0.64
19 1.4e-002 1.2e-001 7.9e-001 1.01e+000 1.448195123e+002 1.747380168e+002 6.6e-006 0.67
20 6.7e-003 4.3e-001 3.8e-001 1.01e+000 1.559754187e+002 1.703750810e+002 3.2e-006 0.72
21 2.2e-003 1.7e-001 1.3e-001 1.01e+000 1.635069791e+002 1.683733445e+002 1.1e-006 0.73
22 1.7e-003 1.3e-001 1.0e-001 1.01e+000 1.643650640e+002 1.681283556e+002 8.5e-007 0.77
23 7.3e-004 9.2e-002 4.3e-002 1.01e+000 1.659482019e+002 1.675662657e+002 3.7e-007 0.80
24 4.3e-004 7.4e-002 2.5e-002 1.01e+000 1.664272587e+002 1.673731817e+002 2.2e-007 0.83
25 3.8e-004 6.8e-002 2.3e-002 1.01e+000 1.665000264e+002 1.673517058e+002 2.0e-007 0.88
26 3.4e-004 6.2e-002 2.1e-002 1.01e+000 1.665608964e+002 1.673271533e+002 1.8e-007 0.92
27 3.1e-004 5.6e-002 1.9e-002 1.01e+000 1.666159758e+002 1.673054169e+002 1.6e-007 0.97
28 2.8e-004 5.2e-002 1.7e-002 1.01e+000 1.666653053e+002 1.672856453e+002 1.4e-007 1.00
29 2.5e-004 4.7e-002 1.5e-002 1.01e+000 1.667095743e+002 1.672677531e+002 1.3e-007 1.03
30 2.3e-004 4.3e-002 1.3e-002 1.01e+000 1.667492633e+002 1.672515211e+002 1.2e-007 1.08
31 2.0e-004 4.0e-002 1.2e-002 1.01e+000 1.667848468e+002 1.672367960e+002 1.0e-007 1.11
32 1.8e-004 3.6e-002 1.1e-002 1.01e+000 1.668167463e+002 1.672234330e+002 9.4e-008 1.14
33 1.7e-004 3.4e-002 9.8e-003 1.01e+000 1.668453437e+002 1.672113077e+002 8.5e-008 1.19
34 1.5e-004 3.1e-002 8.9e-003 1.00e+000 1.668709798e+002 1.672003039e+002 7.6e-008 1.22
35 1.3e-004 2.9e-002 8.0e-003 1.00e+000 1.668939631e+002 1.671903190e+002 6.9e-008 1.27
36 1.2e-004 2.7e-002 7.2e-003 1.00e+000 1.669145707e+002 1.671812626e+002 6.2e-008 1.30
37 1.1e-004 2.5e-002 6.5e-003 1.00e+000 1.669330506e+002 1.671730507e+002 5.6e-008 1.33
38 9.7e-005 2.3e-002 5.8e-003 1.00e+000 1.669496258e+002 1.671656085e+002 5.0e-008 1.36
39 8.8e-005 2.1e-002 5.2e-003 1.00e+000 1.669644946e+002 1.671588650e+002 4.5e-008 1.39
40 7.9e-005 2.0e-002 4.7e-003 1.00e+000 1.669778359e+002 1.671527587e+002 4.1e-008 1.44
41 7.1e-005 1.9e-002 4.2e-003 1.00e+000 1.669898080e+002 1.671472306e+002 3.7e-008 1.47
42 6.4e-005 1.8e-002 3.8e-003 1.00e+000 1.670005531e+002 1.671422262e+002 3.3e-008 1.50
43 5.8e-005 1.7e-002 3.4e-003 1.00e+000 1.670101989e+002 1.671376993e+002 3.0e-008 1.53
44 5.2e-005 1.6e-002 3.1e-003 1.00e+000 1.670188584e+002 1.671336045e+002 2.7e-008 1.56
45 4.7e-005 1.5e-002 2.8e-003 1.00e+000 1.670266334e+002 1.671299018e+002 2.4e-008 1.59
46 4.2e-005 1.5e-002 2.5e-003 1.00e+000 1.670336153e+002 1.671265551e+002 2.2e-008 1.63
47 3.8e-005 1.4e-002 2.3e-003 1.00e+000 1.670398855e+002 1.671235305e+002 1.9e-008 1.66
48 3.4e-005 1.3e-002 2.0e-003 1.00e+000 1.670455173e+002 1.671207955e+002 1.7e-008 1.69
49 3.1e-005 1.3e-002 1.8e-003 1.00e+000 1.670505766e+002 1.671183267e+002 1.6e-008 1.72
50 2.8e-005 1.2e-002 1.6e-003 1.00e+000 1.670551212e+002 1.671160952e+002 1.4e-008 1.75
51 2.5e-005 1.2e-002 1.5e-003 1.00e+000 1.670592047e+002 1.671140809e+002 1.3e-008 1.78
52 2.2e-005 1.2e-002 1.3e-003 1.00e+000 1.670628736e+002 1.671122637e+002 1.1e-008 1.81
53 2.0e-005 1.1e-002 1.2e-003 1.00e+000 1.670661704e+002 1.671106204e+002 1.0e-008 1.84
54 1.8e-005 1.1e-002 1.1e-003 1.00e+000 1.670691338e+002 1.671091385e+002 9.3e-009 1.88
55 1.6e-005 1.1e-002 9.7e-004 1.00e+000 1.670717968e+002 1.671078016e+002 8.4e-009 1.91
56 1.5e-005 1.1e-002 8.7e-004 1.00e+000 1.670741903e+002 1.671065955e+002 7.5e-009 1.94
57 1.3e-005 1.0e-002 7.9e-004 1.00e+000 1.670763421e+002 1.671055061e+002 6.8e-009 1.97
58 1.2e-005 1.0e-002 7.1e-004 1.00e+000 1.670782767e+002 1.671045239e+002 6.1e-009 2.02
59 1.1e-005 9.9e-003 6.4e-004 1.00e+000 1.670800157e+002 1.671036389e+002 5.5e-009 2.05
60 9.6e-006 9.8e-003 5.7e-004 1.00e+000 1.670815792e+002 1.671028407e+002 4.9e-009 2.08
61 8.6e-006 9.6e-003 5.2e-004 1.00e+000 1.670829853e+002 1.671021202e+002 4.4e-009 2.13
62 7.8e-006 9.5e-003 4.6e-004 1.00e+000 1.670842497e+002 1.671014715e+002 4.0e-009 2.16
63 7.0e-006 9.4e-003 4.2e-004 1.00e+000 1.670853867e+002 1.671008865e+002 3.6e-009 2.19
64 6.3e-006 9.3e-003 3.8e-004 1.00e+000 1.670864093e+002 1.671003595e+002 3.2e-009 2.22
65 5.7e-006 9.2e-003 3.4e-004 1.00e+000 1.670873290e+002 1.670998846e+002 2.9e-009 2.25
66 2.2e-006 3.5e-003 1.3e-004 1.00e+000 1.670924289e+002 1.670972160e+002 1.1e-009 2.30
67 8.7e-007 1.4e-003 5.2e-005 1.00e+000 1.670943032e+002 1.670962336e+002 4.5e-010 2.33
68 7.8e-007 1.3e-003 4.7e-005 1.01e+000 1.670944364e+002 1.670961694e+002 4.0e-010 2.36
69 7.0e-007 1.1e-003 4.2e-005 9.83e-001 1.670945494e+002 1.670961106e+002 3.6e-010 2.39
70 6.3e-007 1.0e-003 3.8e-005 1.01e+000 1.670946538e+002 1.670960550e+002 3.3e-010 2.42
71 5.7e-007 9.2e-004 3.4e-005 9.95e-001 1.670947456e+002 1.670960068e+002 3.0e-010 2.47
72 5.1e-007 8.3e-004 3.1e-005 9.94e-001 1.670948281e+002 1.670959633e+002 2.7e-010 2.50
73 4.6e-007 7.5e-004 2.8e-005 9.87e-001 1.670949021e+002 1.670959247e+002 2.4e-010 2.53
74 4.1e-007 6.7e-004 2.5e-005 9.84e-001 1.670949687e+002 1.670958899e+002 2.2e-010 2.56
75 3.7e-007 6.0e-004 2.2e-005 1.03e+000 1.670950364e+002 1.670958528e+002 2.0e-010 2.59
76 3.4e-007 5.4e-004 2.0e-005 1.00e+000 1.670950897e+002 1.670958245e+002 1.8e-010 2.64
77 3.0e-007 4.9e-004 1.8e-005 9.98e-001 1.670951376e+002 1.670957990e+002 1.6e-010 2.67
78 2.7e-007 4.4e-004 1.6e-005 9.87e-001 1.670951807e+002 1.670957762e+002 1.4e-010 2.70
79 2.4e-007 4.0e-004 1.5e-005 1.03e+000 1.670952241e+002 1.670957525e+002 1.3e-010 2.73
80 2.2e-007 3.6e-004 1.3e-005 1.03e+000 1.670952624e+002 1.670957317e+002 1.2e-010 2.77
81 2.0e-007 3.2e-004 1.2e-005 9.65e-001 1.670952929e+002 1.670957159e+002 1.1e-010 2.81
82 1.8e-007 2.9e-004 1.1e-005 9.97e-001 1.670953204e+002 1.670957012e+002 9.6e-011 2.84
83 1.6e-007 2.6e-004 9.7e-006 9.65e-001 1.670953451e+002 1.670956884e+002 8.7e-011 2.88
84 1.5e-007 2.3e-004 8.7e-006 1.01e+000 1.670953684e+002 1.670956758e+002 7.8e-011 2.92
85 1.3e-007 2.1e-004 7.8e-006 9.49e-001 1.670953882e+002 1.670956660e+002 7.1e-011 2.95
86 1.2e-007 1.9e-004 7.0e-006 1.05e+000 1.670954104e+002 1.670956537e+002 6.5e-011 2.98
87 1.1e-007 1.7e-004 6.3e-006 1.04e+000 1.670954293e+002 1.670956433e+002 6.0e-011 3.02
88 1.0e-007 1.5e-004 5.7e-006 1.00e+000 1.670954432e+002 1.670956360e+002 5.4e-011 3.05
89 9.0e-008 1.4e-004 5.1e-006 1.01e+000 1.670954563e+002 1.670956289e+002 4.9e-011 3.08
90 8.0e-008 1.2e-004 4.6e-006 1.00e+000 1.670954676e+002 1.670956228e+002 4.4e-011 3.11
91 7.1e-008 1.1e-004 4.2e-006 9.30e-001 1.670954776e+002 1.670956177e+002 3.9e-011 3.14
92 6.3e-008 1.0e-004 3.7e-006 1.11e+000 1.670954912e+002 1.670956097e+002 3.7e-011 3.17
93 5.6e-008 9.1e-005 3.4e-006 8.77e-001 1.670954988e+002 1.670956062e+002 3.4e-011 3.20
94 5.1e-008 8.2e-005 3.0e-006 1.08e+000 1.670955084e+002 1.670956009e+002 3.2e-011 3.23
95 4.5e-008 7.3e-005 2.7e-006 8.12e-001 1.670955142e+002 1.670955984e+002 2.9e-011 3.27
96 8.9e-008 6.6e-005 2.5e-006 4.71e+000 1.670955225e+002 1.670955846e+002 2.4e-011 3.30
97 7.9e-008 5.9e-005 2.2e-006 8.80e-001 1.670955270e+002 1.670955831e+002 2.1e-011 3.33
98 7.5e-008 5.4e-005 2.0e-006 1.06e+000 1.670955323e+002 1.670955812e+002 2.0e-011 3.36
99 7.9e-008 4.8e-005 1.8e-006 4.26e+000 1.670955389e+002 1.670955756e+002 1.7e-011 3.39
100 6.9e-009 3.1e-006 1.1e-007 8.36e-001 1.670955673e+002 1.670955698e+002 2.2e-012 3.41
Interior-point optimizer terminated. Time: 3.42.
Optimizer terminated. Time: 3.45
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709556727e+002 nrm: 2e+001 Viol. con: 1e-007 var: 0e+000
Dual. obj: 1.6709556981e+002 nrm: 9e+002 Viol. con: 0e+000 var: 1e-005
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.48 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.48e+004 after factor : 1.48e+005
Factor - dense dim. : 0 flops : 2.93e+007
Factor - GP saved nzs : 3.33e+004 GP saved flops : 9.12e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.1e+003 1.2e+005 0.00e+000 -1.226585484e+005 2.000000000e+000 1.0e+000 0.11
1 1.7e+003 2.2e+003 8.9e+004 -9.71e-001 -1.219213872e+005 2.627749503e+000 7.2e-001 0.16
2 8.7e+002 1.2e+003 4.7e+004 -9.59e-001 -1.196031120e+005 4.663152486e+000 3.8e-001 0.20
3 2.9e+002 3.9e+002 1.6e+004 -9.21e-001 -1.107419751e+005 2.010365940e+001 1.3e-001 0.25
4 2.9e+002 3.9e+002 1.6e+004 -7.72e-001 -1.085665984e+005 1.920496928e+003 1.3e-001 0.28
5 1.2e+002 1.6e+002 6.4e+003 -7.63e-001 -8.729056822e+004 6.296508785e+003 5.3e-002 0.31
6 4.0e+001 5.3e+001 2.1e+003 -4.49e-001 -4.763950705e+004 1.096723291e+004 1.8e-002 0.36
7 2.5e+001 3.3e+001 1.3e+003 2.22e-001 -3.390534681e+004 7.487004240e+003 1.1e-002 0.39
8 1.1e+001 1.5e+001 6.2e+002 4.87e-001 -1.760735587e+004 4.162567433e+003 5.1e-003 0.42
9 4.0e+000 5.4e+000 2.2e+002 7.72e-001 -6.168782075e+003 2.053688664e+003 1.8e-003 0.45
10 2.3e+000 3.1e+000 1.3e+002 9.48e-001 -3.390528359e+003 1.383516342e+003 1.0e-003 0.50
11 1.0e+000 1.4e+000 5.6e+001 9.82e-001 -1.426283489e+003 7.076364442e+002 4.7e-004 0.55
12 7.3e-001 9.8e-001 4.0e+001 9.83e-001 -9.961487239e+002 5.528661229e+002 3.3e-004 0.58
13 7.0e-001 9.4e-001 3.8e+001 9.85e-001 -9.428432772e+002 5.417367208e+002 3.2e-004 0.61
14 2.9e-001 4.2e-001 1.6e+001 9.84e-001 -2.921964085e+002 3.182866208e+002 1.3e-004 0.64
15 1.7e-001 4.5e-001 9.5e+000 1.00e+000 -1.171840615e+002 2.513365970e+002 8.0e-005 0.67
16 9.4e-002 2.5e-001 5.2e+000 1.01e+000 4.456305583e+000 2.058390058e+002 4.4e-005 0.70
17 9.3e-002 2.5e-001 5.2e+000 1.02e+000 7.084701634e+000 2.058662629e+002 4.3e-005 0.73
18 7.9e-002 2.1e-001 4.4e+000 1.02e+000 3.631563300e+001 2.044345805e+002 3.7e-005 0.78
19 3.5e-002 1.1e-001 1.9e+000 1.01e+000 1.090774056e+002 1.830681095e+002 1.6e-005 0.81
20 9.8e-003 1.8e-001 5.5e-001 1.01e+000 1.514853168e+002 1.723683138e+002 4.6e-006 0.84
21 3.0e-003 1.9e-001 1.7e-001 1.00e+000 1.618226288e+002 1.682862587e+002 1.4e-006 0.88
22 1.2e-003 1.4e-001 7.2e-002 1.01e+000 1.646754526e+002 1.673847390e+002 6.1e-007 0.91
23 7.8e-004 1.0e-001 4.6e-002 9.78e-001 1.653898994e+002 1.671256172e+002 4.0e-007 0.94
24 2.2e-004 1.1e-001 1.4e-002 9.85e-001 1.662723997e+002 1.667920708e+002 1.2e-007 0.98
25 7.5e-005 1.1e-001 4.7e-003 1.01e+000 1.665147647e+002 1.666907444e+002 4.1e-008 1.01
26 3.4e-005 9.0e-002 2.1e-003 1.01e+000 1.665822613e+002 1.666617800e+002 1.9e-008 1.05
27 3.1e-005 8.4e-002 1.9e-003 1.01e+000 1.665884808e+002 1.666605441e+002 1.7e-008 1.08
28 2.8e-005 7.5e-002 1.7e-003 1.00e+000 1.665934634e+002 1.666582979e+002 1.5e-008 1.11
29 2.5e-005 6.8e-002 1.6e-003 1.00e+000 1.665979388e+002 1.666562833e+002 1.4e-008 1.16
30 2.2e-005 6.2e-002 1.4e-003 1.00e+000 1.666019612e+002 1.666544632e+002 1.2e-008 1.19
31 2.0e-005 5.7e-002 1.3e-003 1.00e+000 1.666055744e+002 1.666528193e+002 1.1e-008 1.22
32 1.8e-005 5.2e-002 1.1e-003 1.00e+000 1.666088210e+002 1.666513357e+002 1.0e-008 1.25
33 1.6e-005 4.8e-002 1.0e-003 1.00e+000 1.666117386e+002 1.666499970e+002 9.1e-009 1.28
34 1.5e-005 4.4e-002 9.3e-004 1.00e+000 1.666143608e+002 1.666487895e+002 8.2e-009 1.31
35 1.3e-005 4.0e-002 8.3e-004 1.00e+000 1.666167177e+002 1.666477003e+002 7.4e-009 1.34
36 1.2e-005 3.7e-002 7.5e-004 1.00e+000 1.666188362e+002 1.666467179e+002 6.6e-009 1.38
37 1.1e-005 3.4e-002 6.8e-004 1.00e+000 1.666207406e+002 1.666458320e+002 6.0e-009 1.41
38 9.6e-006 3.1e-002 6.1e-004 1.00e+000 1.666224526e+002 1.666450331e+002 5.4e-009 1.44
39 8.6e-006 2.9e-002 5.5e-004 1.00e+000 1.666239918e+002 1.666443128e+002 4.8e-009 1.47
40 7.8e-006 2.7e-002 4.9e-004 1.00e+000 1.666253756e+002 1.666436634e+002 4.4e-009 1.50
41 7.0e-006 2.5e-002 4.4e-004 1.00e+000 1.666266198e+002 1.666430779e+002 3.9e-009 1.53
42 6.3e-006 2.3e-002 4.0e-004 1.00e+000 1.666277386e+002 1.666425501e+002 3.5e-009 1.56
43 5.7e-006 2.2e-002 3.6e-004 1.00e+000 1.666287446e+002 1.666420744e+002 3.2e-009 1.59
44 5.1e-006 2.0e-002 3.2e-004 1.00e+000 1.666296492e+002 1.666416455e+002 2.9e-009 1.63
45 4.6e-006 1.9e-002 2.9e-004 1.00e+000 1.666304626e+002 1.666412589e+002 2.6e-009 1.66
46 4.1e-006 1.8e-002 2.6e-004 1.00e+000 1.666311941e+002 1.666409105e+002 2.3e-009 1.69
47 3.7e-006 1.7e-002 2.4e-004 1.00e+000 1.666318519e+002 1.666405964e+002 2.1e-009 1.73
48 3.3e-006 1.6e-002 2.1e-004 1.00e+000 1.666324433e+002 1.666403132e+002 1.9e-009 1.76
49 3.0e-006 1.5e-002 1.9e-004 1.00e+000 1.666329752e+002 1.666400579e+002 1.7e-009 1.80
50 2.7e-006 1.5e-002 1.7e-004 1.00e+000 1.666334534e+002 1.666398277e+002 1.5e-009 1.83
51 2.4e-006 1.4e-002 1.5e-004 1.00e+000 1.666338835e+002 1.666396203e+002 1.4e-009 1.86
52 2.2e-006 1.3e-002 1.4e-004 1.00e+000 1.666342703e+002 1.666394333e+002 1.2e-009 1.89
53 2.0e-006 1.3e-002 1.3e-004 1.00e+000 1.666346182e+002 1.666392649e+002 1.1e-009 1.92
54 1.8e-006 1.2e-002 1.1e-004 1.00e+000 1.666349312e+002 1.666391131e+002 1.0e-009 1.95
55 1.6e-006 1.2e-002 1.0e-004 1.00e+000 1.666352126e+002 1.666389763e+002 9.0e-010 1.98
56 1.4e-006 1.1e-002 9.1e-005 1.00e+000 1.666354658e+002 1.666388531e+002 8.1e-010 2.02
57 1.3e-006 1.1e-002 8.2e-005 1.00e+000 1.666356935e+002 1.666387420e+002 7.3e-010 2.06
58 1.2e-006 1.1e-002 7.4e-005 1.00e+000 1.666358983e+002 1.666386420e+002 6.5e-010 2.09
59 1.0e-006 1.1e-002 6.7e-005 1.00e+000 1.666360825e+002 1.666385518e+002 5.9e-010 2.13
60 9.4e-007 1.0e-002 6.0e-005 1.00e+000 1.666362482e+002 1.666384705e+002 5.3e-010 2.16
61 8.5e-007 1.0e-002 5.4e-005 1.00e+000 1.666363972e+002 1.666383973e+002 4.8e-010 2.19
62 7.7e-007 9.9e-003 4.9e-005 1.00e+000 1.666365312e+002 1.666383313e+002 4.3e-010 2.22
63 6.9e-007 9.7e-003 4.4e-005 1.00e+000 1.666366517e+002 1.666382718e+002 3.9e-010 2.27
64 6.2e-007 9.5e-003 3.9e-005 1.00e+000 1.666367600e+002 1.666382181e+002 3.5e-010 2.30
65 5.6e-007 9.3e-003 3.5e-005 1.00e+000 1.666368575e+002 1.666381698e+002 3.1e-010 2.33
66 5.0e-007 9.2e-003 3.2e-005 1.00e+000 1.666369451e+002 1.666381262e+002 2.8e-010 2.36
67 4.5e-007 9.1e-003 2.9e-005 1.00e+000 1.666370239e+002 1.666380868e+002 2.5e-010 2.39
68 4.1e-007 9.0e-003 2.6e-005 1.00e+000 1.666370947e+002 1.666380514e+002 2.3e-010 2.42
69 3.7e-007 8.9e-003 2.3e-005 1.00e+000 1.666371585e+002 1.666380194e+002 2.1e-010 2.45
70 3.3e-007 8.8e-003 2.1e-005 1.00e+000 1.666372157e+002 1.666379906e+002 1.8e-010 2.48
71 3.0e-007 8.7e-003 1.9e-005 1.00e+000 1.666372673e+002 1.666379646e+002 1.7e-010 2.52
72 2.7e-007 8.6e-003 1.7e-005 1.00e+000 1.666373136e+002 1.666379412e+002 1.5e-010 2.55
73 2.4e-007 8.5e-003 1.5e-005 1.00e+000 1.666373553e+002 1.666379202e+002 1.3e-010 2.58
74 2.2e-007 8.5e-003 1.4e-005 1.00e+000 1.666373928e+002 1.666379012e+002 1.2e-010 2.61
75 1.9e-007 8.4e-003 1.2e-005 1.00e+000 1.666374265e+002 1.666378841e+002 1.1e-010 2.66
76 1.8e-007 8.4e-003 1.1e-005 9.99e-001 1.666374569e+002 1.666378687e+002 9.8e-011 2.69
77 1.6e-007 8.3e-003 1.0e-005 1.00e+000 1.666374842e+002 1.666378548e+002 8.8e-011 2.72
78 1.4e-007 8.3e-003 9.0e-006 1.00e+000 1.666375087e+002 1.666378423e+002 8.0e-011 2.75
79 1.3e-007 8.2e-003 8.1e-006 1.00e+000 1.666375309e+002 1.666378311e+002 7.2e-011 2.80
80 1.1e-007 8.2e-003 7.3e-006 9.99e-001 1.666375507e+002 1.666378209e+002 6.4e-011 2.83
81 1.0e-007 8.1e-003 6.6e-006 1.00e+000 1.666375686e+002 1.666378118e+002 5.8e-011 2.88
82 9.3e-008 8.1e-003 5.9e-006 1.00e+000 1.666375848e+002 1.666378036e+002 5.2e-011 2.91
83 8.4e-008 8.1e-003 5.3e-006 9.99e-001 1.666375993e+002 1.666377962e+002 4.7e-011 2.94
84 7.5e-008 8.0e-003 4.8e-006 1.00e+000 1.666376123e+002 1.666377896e+002 4.2e-011 2.98
85 6.8e-008 8.0e-003 4.3e-006 1.00e+000 1.666376240e+002 1.666377836e+002 3.8e-011 3.02
86 6.1e-008 8.0e-003 3.9e-006 9.99e-001 1.666376346e+002 1.666377782e+002 3.4e-011 3.06
87 5.5e-008 7.9e-003 3.5e-006 1.00e+000 1.666376441e+002 1.666377733e+002 3.1e-011 3.11
88 4.9e-008 7.9e-003 3.1e-006 1.00e+000 1.666376527e+002 1.666377690e+002 2.8e-011 3.14
89 4.4e-008 7.9e-003 2.8e-006 9.98e-001 1.666376604e+002 1.666377650e+002 2.5e-011 3.17
90 4.0e-008 7.9e-003 2.5e-006 1.00e+000 1.666376673e+002 1.666377615e+002 2.2e-011 3.22
91 3.6e-008 7.8e-003 2.3e-006 1.00e+000 1.666376735e+002 1.666377583e+002 2.0e-011 3.25
92 3.2e-008 7.8e-003 2.1e-006 1.00e+000 1.666376792e+002 1.666377554e+002 1.8e-011 3.28
93 2.9e-008 7.8e-003 1.9e-006 1.00e+000 1.666376842e+002 1.666377528e+002 1.6e-011 3.33
94 2.6e-008 7.8e-003 1.7e-006 9.99e-001 1.666376888e+002 1.666377505e+002 1.5e-011 3.36
95 2.4e-008 7.0e-003 1.5e-006 1.00e+000 1.666376929e+002 1.666377484e+002 1.3e-011 3.39
96 2.1e-008 6.3e-003 1.4e-006 9.98e-001 1.666376966e+002 1.666377465e+002 1.2e-011 3.44
97 1.9e-008 5.7e-003 1.2e-006 9.98e-001 1.666376999e+002 1.666377449e+002 1.1e-011 3.47
98 1.7e-008 5.1e-003 1.1e-006 1.00e+000 1.666377029e+002 1.666377433e+002 9.7e-012 3.50
99 1.6e-008 4.6e-003 9.9e-007 9.95e-001 1.666377056e+002 1.666377420e+002 8.7e-012 3.53
100 1.4e-008 4.1e-003 8.9e-007 9.99e-001 1.666377080e+002 1.666377407e+002 7.9e-012 3.56
101 1.3e-008 3.7e-003 8.0e-007 1.00e+000 1.666377101e+002 1.666377396e+002 7.1e-012 3.61
102 1.8e-008 3.6e-003 7.2e-007 9.80e-001 1.666377120e+002 1.666377391e+002 6.4e-012 3.64
103 1.8e-008 3.2e-003 6.5e-007 9.99e-001 1.666377137e+002 1.666377382e+002 5.7e-012 3.67
104 1.6e-008 2.9e-003 5.8e-007 1.00e+000 1.666377153e+002 1.666377374e+002 5.2e-012 3.70
105 1.4e-008 2.6e-003 5.2e-007 1.01e+000 1.666377168e+002 1.666377366e+002 4.7e-012 3.75
106 1.3e-008 2.4e-003 4.7e-007 1.03e+000 1.666377183e+002 1.666377358e+002 4.3e-012 3.78
107 1.2e-008 2.1e-003 4.2e-007 1.01e+000 1.666377194e+002 1.666377351e+002 3.8e-012 3.81
108 1.1e-008 1.9e-003 3.8e-007 9.96e-001 1.666377204e+002 1.666377346e+002 3.5e-012 3.86
109 9.7e-009 1.7e-003 3.4e-007 1.02e+000 1.666377214e+002 1.666377341e+002 3.1e-012 3.89
110 8.7e-009 1.5e-003 3.1e-007 1.00e+000 1.666377223e+002 1.666377336e+002 2.8e-012 3.92
111 7.9e-009 1.4e-003 2.8e-007 9.94e-001 1.666377230e+002 1.666377333e+002 2.5e-012 3.95
112 7.1e-009 1.3e-003 2.5e-007 9.96e-001 1.666377237e+002 1.666377329e+002 2.3e-012 3.98
113 6.6e-009 1.1e-003 2.3e-007 9.98e-001 1.666377242e+002 1.666377326e+002 2.1e-012 4.01
114 5.7e-009 1.0e-003 2.0e-007 9.68e-001 1.666377248e+002 1.666377323e+002 1.9e-012 4.05
115 1.2e-009 5.6e-005 1.1e-008 9.62e-001 1.666377294e+002 1.666377298e+002 1.2e-013 4.08
Interior-point optimizer terminated. Time: 4.08.
Optimizer terminated. Time: 4.13
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663772941e+002 nrm: 2e+001 Viol. con: 3e-008 var: 0e+000
Dual. obj: 1.6663772984e+002 nrm: 9e+002 Viol. con: 0e+000 var: 4e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.15 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.01
Factor - nonzeros before factor : 1.48e+004 after factor : 1.48e+005
Factor - dense dim. : 0 flops : 2.93e+007
Factor - GP saved nzs : 3.33e+004 GP saved flops : 9.12e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.1e+003 1.2e+005 0.00e+000 -1.226849239e+005 2.000000000e+000 1.0e+000 0.06
1 1.7e+003 2.2e+003 8.9e+004 -9.71e-001 -1.219534294e+005 2.620225063e+000 7.3e-001 0.13
2 8.7e+002 1.2e+003 4.7e+004 -9.59e-001 -1.196347191e+005 4.651232037e+000 3.8e-001 0.16
3 2.9e+002 3.9e+002 1.6e+004 -9.21e-001 -1.107208228e+005 2.005392357e+001 1.3e-001 0.20
4 2.9e+002 3.9e+002 1.6e+004 -7.72e-001 -1.084773393e+005 1.977849647e+003 1.3e-001 0.23
5 1.2e+002 1.6e+002 6.4e+003 -7.62e-001 -8.711285036e+004 6.311703239e+003 5.2e-002 0.27
6 4.2e+001 5.6e+001 2.2e+003 -4.46e-001 -4.936047090e+004 1.079796256e+004 1.9e-002 0.30
7 2.5e+001 3.4e+001 1.3e+003 1.90e-001 -3.425875065e+004 7.462585720e+003 1.1e-002 0.33
8 1.3e+001 1.7e+001 7.0e+002 4.81e-001 -1.968663943e+004 4.675777379e+003 5.8e-003 0.36
9 4.9e+000 6.6e+000 2.7e+002 7.37e-001 -7.617325493e+003 2.298848291e+003 2.2e-003 0.39
10 2.3e+000 3.2e+000 1.3e+002 9.29e-001 -3.398291800e+003 1.407277088e+003 1.0e-003 0.42
11 1.5e+000 2.0e+000 8.2e+001 9.81e-001 -2.145200795e+003 9.589411243e+002 6.8e-004 0.45
12 8.6e-001 1.2e+000 4.7e+001 9.88e-001 -1.159978720e+003 6.218748821e+002 3.9e-004 0.50
13 7.6e-001 1.1e+000 4.1e+001 9.55e-001 -1.036813866e+003 5.640869372e+002 3.4e-004 0.53
14 3.8e-001 5.6e-001 2.1e+001 9.86e-001 -4.218867577e+002 3.767872746e+002 1.7e-004 0.56
15 1.9e-001 4.9e-001 1.0e+001 9.99e-001 -1.340640073e+002 2.592390609e+002 8.5e-005 0.61
16 9.2e-002 2.6e-001 5.1e+000 1.01e+000 8.554917173e+000 2.056234335e+002 4.3e-005 0.64
17 8.9e-002 2.5e-001 4.9e+000 1.01e+000 1.752038594e+001 2.076465550e+002 4.2e-005 0.67
18 6.2e-002 1.7e-001 3.5e+000 1.01e+000 6.310350288e+001 1.953125443e+002 2.9e-005 0.72
19 3.0e-002 9.7e-002 1.7e+000 1.01e+000 1.172653319e+002 1.810925603e+002 1.4e-005 0.75
20 8.7e-003 1.8e-001 4.9e-001 1.01e+000 1.531505253e+002 1.716299670e+002 4.1e-006 0.78
21 2.6e-003 1.9e-001 1.5e-001 1.00e+000 1.623849959e+002 1.679586883e+002 1.2e-006 0.83
22 1.5e-003 1.2e-001 8.7e-002 1.00e+000 1.641429160e+002 1.674184684e+002 7.4e-007 0.86
23 5.2e-004 1.0e-001 3.1e-002 1.01e+000 1.656902534e+002 1.668678096e+002 2.7e-007 0.89
24 2.0e-004 9.7e-002 1.2e-002 1.01e+000 1.662107998e+002 1.666667299e+002 1.1e-007 0.94
25 1.8e-004 8.9e-002 1.1e-002 1.01e+000 1.662459882e+002 1.666561861e+002 9.5e-008 0.97
26 1.6e-004 8.1e-002 9.9e-003 1.01e+000 1.662749084e+002 1.666439448e+002 8.6e-008 1.00
27 1.5e-004 7.4e-002 8.9e-003 1.01e+000 1.663011062e+002 1.666331281e+002 7.7e-008 1.03
28 1.3e-004 6.7e-002 8.0e-003 1.01e+000 1.663245601e+002 1.666232880e+002 6.9e-008 1.06
29 1.2e-004 6.1e-002 7.2e-003 1.01e+000 1.663456064e+002 1.666143858e+002 6.3e-008 1.09
30 1.1e-004 5.6e-002 6.5e-003 1.01e+000 1.663644865e+002 1.666063257e+002 5.6e-008 1.11
31 9.6e-005 5.1e-002 5.8e-003 1.01e+000 1.663814253e+002 1.665990296e+002 5.1e-008 1.14
32 8.6e-005 4.7e-002 5.2e-003 1.01e+000 1.663966231e+002 1.665924254e+002 4.6e-008 1.16
33 7.8e-005 4.3e-002 4.7e-003 1.01e+000 1.664102600e+002 1.665864482e+002 4.1e-008 1.17
34 7.0e-005 3.9e-002 4.2e-003 1.01e+000 1.664224975e+002 1.665810395e+002 3.7e-008 1.20
35 6.3e-005 3.6e-002 3.8e-003 1.01e+000 1.664334804e+002 1.665761461e+002 3.3e-008 1.22
36 5.7e-005 3.3e-002 3.4e-003 1.00e+000 1.664433386e+002 1.665717197e+002 3.0e-008 1.25
37 5.1e-005 3.1e-002 3.1e-003 1.00e+000 1.664521881e+002 1.665677168e+002 2.7e-008 1.26
38 4.6e-005 2.8e-002 2.8e-003 1.00e+000 1.664601332e+002 1.665640975e+002 2.4e-008 1.28
39 4.1e-005 2.6e-002 2.5e-003 1.00e+000 1.664672670e+002 1.665608257e+002 2.2e-008 1.31
40 3.7e-005 2.5e-002 2.3e-003 1.00e+000 1.664736732e+002 1.665578687e+002 2.0e-008 1.33
41 3.3e-005 2.3e-002 2.0e-003 1.00e+000 1.664794265e+002 1.665551966e+002 1.8e-008 1.36
42 3.0e-005 2.1e-002 1.8e-003 1.00e+000 1.664845940e+002 1.665527826e+002 1.6e-008 1.38
43 2.7e-005 2.0e-002 1.6e-003 1.00e+000 1.664892359e+002 1.665506020e+002 1.4e-008 1.42
44 2.4e-005 1.9e-002 1.5e-003 1.00e+000 1.664934060e+002 1.665486327e+002 1.3e-008 1.45
45 2.2e-005 1.8e-002 1.3e-003 1.00e+000 1.664971527e+002 1.665468546e+002 1.2e-008 1.48
46 2.0e-005 1.7e-002 1.2e-003 1.00e+000 1.665005194e+002 1.665452494e+002 1.0e-008 1.51
47 1.8e-005 1.6e-002 1.1e-003 1.00e+000 1.665035449e+002 1.665438006e+002 9.4e-009 1.53
48 1.6e-005 1.5e-002 9.7e-004 1.00e+000 1.665062641e+002 1.665424932e+002 8.5e-009 1.56
49 1.4e-005 1.4e-002 8.8e-004 1.00e+000 1.665087083e+002 1.665413138e+002 7.6e-009 1.58
50 1.3e-005 1.4e-002 7.9e-004 1.00e+000 1.665109056e+002 1.665402500e+002 6.9e-009 1.59
51 1.2e-005 1.3e-002 7.1e-004 1.00e+000 1.665128811e+002 1.665392906e+002 6.2e-009 1.63
52 1.0e-005 1.3e-002 6.4e-004 1.00e+000 1.665146574e+002 1.665384257e+002 5.6e-009 1.64
53 9.4e-006 1.2e-002 5.7e-004 1.00e+000 1.665162548e+002 1.665376460e+002 5.0e-009 1.66
54 8.5e-006 1.2e-002 5.2e-004 1.00e+000 1.665176913e+002 1.665369433e+002 4.5e-009 1.69
55 7.6e-006 1.1e-002 4.7e-004 1.00e+000 1.665189833e+002 1.665363100e+002 4.1e-009 1.70
56 6.9e-006 1.1e-002 4.2e-004 1.00e+000 1.665201454e+002 1.665357394e+002 3.6e-009 1.73
57 6.2e-006 1.1e-002 3.8e-004 1.00e+000 1.665211906e+002 1.665352252e+002 3.3e-009 1.75
58 5.6e-006 1.1e-002 3.4e-004 1.00e+000 1.665221309e+002 1.665347620e+002 3.0e-009 1.76
59 5.0e-006 1.0e-002 3.1e-004 1.00e+000 1.665229766e+002 1.665343447e+002 2.7e-009 1.80
60 4.5e-006 1.0e-002 2.7e-004 1.00e+000 1.665237374e+002 1.665339687e+002 2.4e-009 1.81
61 4.1e-006 9.9e-003 2.5e-004 1.00e+000 1.665244217e+002 1.665336299e+002 2.2e-009 1.83
62 3.7e-006 9.7e-003 2.2e-004 1.00e+000 1.665250372e+002 1.665333246e+002 1.9e-009 1.86
63 3.3e-006 9.6e-003 2.0e-004 1.00e+000 1.665255908e+002 1.665330495e+002 1.7e-009 1.88
64 3.0e-006 9.4e-003 1.8e-004 1.00e+000 1.665260887e+002 1.665328016e+002 1.6e-009 1.91
65 2.7e-006 9.3e-003 1.6e-004 1.00e+000 1.665265365e+002 1.665325782e+002 1.4e-009 1.92
66 2.4e-006 9.2e-003 1.5e-004 1.00e+000 1.665269394e+002 1.665323769e+002 1.3e-009 1.95
67 2.2e-006 9.1e-003 1.3e-004 1.00e+000 1.665273018e+002 1.665321956e+002 1.1e-009 1.97
68 1.9e-006 9.0e-003 1.2e-004 1.00e+000 1.665276278e+002 1.665320322e+002 1.0e-009 2.00
69 1.7e-006 8.9e-003 1.1e-004 1.00e+000 1.665279210e+002 1.665318851e+002 9.3e-010 2.02
70 1.6e-006 8.8e-003 9.6e-005 1.00e+000 1.665281849e+002 1.665317525e+002 8.4e-010 2.05
71 1.4e-006 8.7e-003 8.6e-005 1.00e+000 1.665284222e+002 1.665316331e+002 7.5e-010 2.06
72 1.3e-006 8.7e-003 7.8e-005 1.00e+000 1.665286357e+002 1.665315256e+002 6.8e-010 2.08
73 1.1e-006 8.6e-003 7.0e-005 1.00e+000 1.665288278e+002 1.665314287e+002 6.1e-010 2.11
74 1.0e-006 8.6e-003 6.3e-005 1.00e+000 1.665290005e+002 1.665313414e+002 5.5e-010 2.13
75 9.3e-007 8.5e-003 5.7e-005 1.00e+000 1.665291559e+002 1.665312627e+002 4.9e-010 2.16
76 8.4e-007 8.5e-003 5.1e-005 1.00e+000 1.665292957e+002 1.665311918e+002 4.4e-010 2.17
77 7.5e-007 8.4e-003 4.6e-005 1.00e+000 1.665294214e+002 1.665311279e+002 4.0e-010 2.19
78 6.8e-007 8.4e-003 4.1e-005 1.00e+000 1.665295345e+002 1.665310704e+002 3.6e-010 2.22
79 6.1e-007 8.3e-003 3.7e-005 1.00e+000 1.665296362e+002 1.665310185e+002 3.2e-010 2.23
80 5.5e-007 8.3e-003 3.3e-005 1.00e+000 1.665297276e+002 1.665309717e+002 2.9e-010 2.25
81 4.9e-007 8.3e-003 3.0e-005 1.00e+000 1.665298099e+002 1.665309295e+002 2.6e-010 2.28
82 4.4e-007 8.3e-003 2.7e-005 1.00e+000 1.665298838e+002 1.665308915e+002 2.4e-010 2.30
83 4.0e-007 8.2e-003 2.4e-005 1.00e+000 1.665299503e+002 1.665308572e+002 2.1e-010 2.33
84 3.6e-007 8.2e-003 2.2e-005 1.00e+000 1.665300101e+002 1.665308263e+002 1.9e-010 2.34
85 3.2e-007 8.2e-003 2.0e-005 1.00e+000 1.665300639e+002 1.665307985e+002 1.7e-010 2.36
86 2.9e-007 8.1e-003 1.8e-005 1.00e+000 1.665301122e+002 1.665307734e+002 1.5e-010 2.39
87 2.6e-007 8.1e-003 1.6e-005 1.00e+000 1.665301557e+002 1.665307508e+002 1.4e-010 2.41
88 2.4e-007 8.1e-003 1.4e-005 1.00e+000 1.665301949e+002 1.665307304e+002 1.3e-010 2.44
89 2.1e-007 8.1e-003 1.3e-005 1.00e+000 1.665302301e+002 1.665307121e+002 1.1e-010 2.45
90 1.9e-007 8.1e-003 1.2e-005 1.00e+000 1.665302617e+002 1.665306955e+002 1.0e-010 2.48
91 1.7e-007 8.0e-003 1.0e-005 1.00e+000 1.665302902e+002 1.665306806e+002 9.1e-011 2.50
92 1.6e-007 8.0e-003 9.4e-006 1.00e+000 1.665303158e+002 1.665306672e+002 8.2e-011 2.52
93 1.4e-007 8.0e-003 8.5e-006 1.00e+000 1.665303389e+002 1.665306551e+002 7.4e-011 2.55
94 1.3e-007 8.0e-003 7.6e-006 1.00e+000 1.665303596e+002 1.665306443e+002 6.7e-011 2.56
95 1.1e-007 8.0e-003 6.9e-006 9.99e-001 1.665303783e+002 1.665306345e+002 6.0e-011 2.59
96 1.0e-007 7.9e-003 6.2e-006 9.99e-001 1.665303951e+002 1.665306257e+002 5.4e-011 2.61
97 9.2e-008 7.9e-003 5.6e-006 1.00e+000 1.665304102e+002 1.665306177e+002 4.9e-011 2.64
98 8.2e-008 7.9e-003 5.0e-006 9.99e-001 1.665304238e+002 1.665306106e+002 4.4e-011 2.66
99 7.4e-008 7.9e-003 4.5e-006 1.00e+000 1.665304361e+002 1.665306042e+002 3.9e-011 2.69
100 6.7e-008 7.9e-003 4.1e-006 9.99e-001 1.665304471e+002 1.665305984e+002 3.5e-011 2.70
101 6.0e-008 7.8e-003 3.7e-006 9.99e-001 1.665304570e+002 1.665305932e+002 3.2e-011 2.73
102 5.4e-008 7.8e-003 3.3e-006 1.00e+000 1.665304659e+002 1.665305885e+002 2.9e-011 2.75
103 4.9e-008 7.8e-003 3.0e-006 1.00e+000 1.665304739e+002 1.665305842e+002 2.6e-011 2.78
104 4.4e-008 7.8e-003 2.7e-006 9.98e-001 1.665304812e+002 1.665305804e+002 2.3e-011 2.81
105 3.9e-008 7.8e-003 2.4e-006 1.00e+000 1.665304877e+002 1.665305770e+002 2.1e-011 2.83
106 3.5e-008 7.8e-003 2.2e-006 9.99e-001 1.665304935e+002 1.665305739e+002 1.9e-011 2.86
107 3.2e-008 7.7e-003 1.9e-006 1.00e+000 1.665304988e+002 1.665305712e+002 1.7e-011 2.88
108 2.9e-008 7.7e-003 1.7e-006 1.00e+000 1.665305035e+002 1.665305687e+002 1.5e-011 2.91
109 2.6e-008 7.7e-003 1.6e-006 1.00e+000 1.665305078e+002 1.665305664e+002 1.4e-011 2.92
110 2.3e-008 7.7e-003 1.4e-006 9.98e-001 1.665305116e+002 1.665305644e+002 1.2e-011 2.95
111 2.1e-008 7.7e-003 1.3e-006 9.98e-001 1.665305151e+002 1.665305626e+002 1.1e-011 2.97
112 1.9e-008 7.7e-003 1.1e-006 9.98e-001 1.665305182e+002 1.665305610e+002 1.0e-011 2.98
113 1.7e-008 7.7e-003 1.0e-006 9.99e-001 1.665305210e+002 1.665305595e+002 9.0e-012 3.02
114 1.5e-008 7.6e-003 9.3e-007 9.95e-001 1.665305235e+002 1.665305582e+002 8.1e-012 3.03
115 1.4e-008 7.6e-003 8.4e-007 9.99e-001 1.665305258e+002 1.665305570e+002 7.3e-012 3.06
116 1.2e-008 7.6e-003 7.5e-007 1.00e+000 1.665305278e+002 1.665305559e+002 6.6e-012 3.08
117 1.1e-008 6.8e-003 6.8e-007 1.01e+000 1.665305297e+002 1.665305549e+002 5.9e-012 3.11
118 1.0e-008 6.2e-003 6.1e-007 1.00e+000 1.665305314e+002 1.665305540e+002 5.3e-012 3.13
119 9.4e-009 5.5e-003 5.5e-007 1.01e+000 1.665305329e+002 1.665305533e+002 4.8e-012 3.16
120 8.5e-009 5.0e-003 4.9e-007 9.72e-001 1.665305342e+002 1.665305526e+002 4.3e-012 3.17
121 9.4e-009 4.5e-003 4.4e-007 9.76e-001 1.665305354e+002 1.665305518e+002 3.9e-012 3.19
122 8.4e-009 4.0e-003 4.0e-007 9.99e-001 1.665305365e+002 1.665305513e+002 3.5e-012 3.22
123 7.6e-009 3.6e-003 3.6e-007 9.99e-001 1.665305375e+002 1.665305508e+002 3.2e-012 3.23
124 6.9e-009 3.3e-003 3.2e-007 9.90e-001 1.665305383e+002 1.665305503e+002 2.8e-012 3.25
125 6.2e-009 2.9e-003 2.9e-007 1.02e+000 1.665305392e+002 1.665305499e+002 2.6e-012 3.28
126 5.5e-009 2.7e-003 2.6e-007 9.84e-001 1.665305399e+002 1.665305495e+002 2.3e-012 3.30
127 1.5e-007 2.4e-003 2.4e-007 8.44e-001 1.665305404e+002 1.665305498e+002 2.1e-012 3.33
128 1.3e-007 2.1e-003 2.1e-007 1.02e+000 1.665305410e+002 1.665305494e+002 1.9e-012 3.34
129 1.2e-007 1.9e-003 1.9e-007 9.78e-001 1.665305415e+002 1.665305491e+002 1.7e-012 3.36
130 1.4e-007 1.9e-003 1.9e-007 1.35e+000 1.665305417e+002 1.665305482e+002 1.7e-012 3.39
131 1.2e-007 1.7e-003 1.7e-007 1.47e+000 1.665305422e+002 1.665305480e+002 1.5e-012 3.41
132 8.0e-009 9.7e-005 1.1e-008 1.00e+000 1.665305459e+002 1.665305463e+002 8.5e-014 3.44
Interior-point optimizer terminated. Time: 3.44.
Optimizer terminated. Time: 3.45
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054593e+002 nrm: 2e+001 Viol. con: 1e-007 var: 0e+000
Dual. obj: 1.6653054629e+002 nrm: 1e+003 Viol. con: 0e+000 var: 6e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.49 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.48e+004 after factor : 1.48e+005
Factor - dense dim. : 0 flops : 2.93e+007
Factor - GP saved nzs : 3.33e+004 GP saved flops : 9.12e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.1e+003 1.2e+005 0.00e+000 -1.226819507e+005 2.000000000e+000 1.0e+000 0.09
1 1.7e+003 2.2e+003 8.9e+004 -9.71e-001 -1.219502494e+005 2.618325375e+000 7.3e-001 0.14
2 8.7e+002 1.2e+003 4.7e+004 -9.59e-001 -1.196374201e+005 4.640470862e+000 3.8e-001 0.16
3 2.9e+002 3.9e+002 1.6e+004 -9.21e-001 -1.106689816e+005 2.010085092e+001 1.3e-001 0.19
4 2.9e+002 3.9e+002 1.5e+004 -7.71e-001 -1.084447201e+005 1.966197148e+003 1.3e-001 0.20
5 1.2e+002 1.6e+002 6.3e+003 -7.61e-001 -8.700933758e+004 6.299125805e+003 5.2e-002 0.22
6 3.3e+001 4.4e+001 1.8e+003 -4.45e-001 -4.090570829e+004 1.177146417e+004 1.5e-002 0.25
7 2.0e+001 2.7e+001 1.1e+003 3.44e-001 -2.843133834e+004 7.437638444e+003 9.1e-003 0.27
8 1.0e+001 1.4e+001 5.5e+002 5.87e-001 -1.544320219e+004 4.101945116e+003 4.5e-003 0.28
9 3.8e+000 5.1e+000 2.0e+002 8.09e-001 -5.797857385e+003 1.892894033e+003 1.7e-003 0.30
10 2.1e+000 2.8e+000 1.1e+002 9.52e-001 -3.027126002e+003 1.211769441e+003 9.2e-004 0.33
11 8.8e-001 1.2e+000 4.8e+001 9.86e-001 -1.183747076e+003 6.420749036e+002 4.0e-004 0.34
12 8.4e-001 1.1e+000 4.6e+001 9.64e-001 -1.148613590e+003 6.116856221e+002 3.8e-004 0.38
13 5.3e-001 7.1e-001 2.9e+001 9.74e-001 -6.867170772e+002 4.366423918e+002 2.4e-004 0.39
14 3.5e-001 4.7e-001 1.9e+001 1.00e+000 -3.747118852e+002 3.597751107e+002 1.6e-004 0.42
15 1.4e-001 2.0e-001 7.6e+000 9.97e-001 -6.323407911e+001 2.309686009e+002 6.4e-005 0.44
16 8.4e-002 1.3e-001 4.7e+000 1.01e+000 2.237492199e+001 2.024368767e+002 4.0e-005 0.47
17 8.1e-002 1.2e-001 4.5e+000 1.02e+000 2.803491521e+001 2.012806020e+002 3.8e-005 0.50
18 5.5e-002 8.5e-002 3.1e+000 1.02e+000 7.551177141e+001 1.919870231e+002 2.6e-005 0.53
19 1.6e-002 8.7e-002 9.0e-001 1.02e+000 1.406137340e+002 1.747475957e+002 7.6e-006 0.55
20 4.8e-003 2.0e-001 2.7e-001 1.01e+000 1.589424938e+002 1.692863227e+002 2.3e-006 0.58
21 3.1e-003 2.2e-001 1.8e-001 1.01e+000 1.614585153e+002 1.682601653e+002 1.5e-006 0.59
22 1.0e-003 1.3e-001 6.0e-002 1.00e+000 1.648742226e+002 1.671211405e+002 5.1e-007 0.63
23 3.3e-004 1.1e-001 2.0e-002 1.01e+000 1.659556694e+002 1.666967868e+002 1.7e-007 0.64
24 1.5e-004 9.3e-002 9.1e-003 1.01e+000 1.662395100e+002 1.665804363e+002 7.9e-008 0.67
25 1.3e-004 8.5e-002 8.2e-003 1.01e+000 1.662655807e+002 1.665723911e+002 7.2e-008 0.69
26 1.2e-004 7.7e-002 7.4e-003 1.01e+000 1.662869324e+002 1.665629435e+002 6.4e-008 0.72
27 1.1e-004 7.0e-002 6.7e-003 1.01e+000 1.663062644e+002 1.665545917e+002 5.8e-008 0.73
28 9.8e-005 6.4e-002 6.0e-003 1.01e+000 1.663235688e+002 1.665469933e+002 5.2e-008 0.77
29 8.8e-005 5.8e-002 5.4e-003 1.01e+000 1.663390987e+002 1.665401233e+002 4.7e-008 0.78
30 7.9e-005 5.3e-002 4.9e-003 1.01e+000 1.663530298e+002 1.665339046e+002 4.2e-008 0.80
31 7.1e-005 4.9e-002 4.4e-003 1.01e+000 1.663655288e+002 1.665282774e+002 3.8e-008 0.83
32 6.4e-005 4.5e-002 3.9e-003 1.01e+000 1.663767438e+002 1.665231856e+002 3.4e-008 0.84
33 5.8e-005 4.1e-002 3.5e-003 1.01e+000 1.663868077e+002 1.665185793e+002 3.1e-008 0.88
34 5.2e-005 3.8e-002 3.2e-003 1.01e+000 1.663958397e+002 1.665144130e+002 2.8e-008 0.89
35 4.7e-005 3.5e-002 2.9e-003 1.01e+000 1.664039467e+002 1.665106453e+002 2.5e-008 0.92
36 4.2e-005 3.2e-002 2.6e-003 1.00e+000 1.664112242e+002 1.665072390e+002 2.2e-008 0.94
37 3.8e-005 3.0e-002 2.3e-003 1.00e+000 1.664177581e+002 1.665041599e+002 2.0e-008 0.97
38 3.4e-005 2.7e-002 2.1e-003 1.00e+000 1.664236249e+002 1.665013773e+002 1.8e-008 0.98
39 3.1e-005 2.6e-002 1.9e-003 1.00e+000 1.664288934e+002 1.664988632e+002 1.6e-008 1.02
40 2.8e-005 2.4e-002 1.7e-003 1.00e+000 1.664336252e+002 1.664965921e+002 1.5e-008 1.03
41 2.5e-005 2.2e-002 1.5e-003 1.00e+000 1.664378755e+002 1.664945409e+002 1.3e-008 1.06
42 2.2e-005 2.1e-002 1.4e-003 1.00e+000 1.664416937e+002 1.664926887e+002 1.2e-008 1.09
43 2.0e-005 1.9e-002 1.2e-003 1.00e+000 1.664451240e+002 1.664910165e+002 1.1e-008 1.11
44 1.8e-005 1.8e-002 1.1e-003 1.00e+000 1.664482063e+002 1.664895070e+002 9.7e-009 1.14
45 1.6e-005 1.7e-002 1.0e-003 1.00e+000 1.664509760e+002 1.664881448e+002 8.7e-009 1.16
46 1.5e-005 1.6e-002 9.0e-004 1.00e+000 1.664534653e+002 1.664869157e+002 7.9e-009 1.17
47 1.3e-005 1.6e-002 8.1e-004 1.00e+000 1.664557026e+002 1.664858068e+002 7.1e-009 1.20
48 1.2e-005 1.5e-002 7.3e-004 1.00e+000 1.664577137e+002 1.664848066e+002 6.4e-009 1.22
49 1.1e-005 1.4e-002 6.6e-004 1.00e+000 1.664595217e+002 1.664839046e+002 5.7e-009 1.25
50 9.6e-006 1.3e-002 5.9e-004 1.00e+000 1.664611472e+002 1.664830913e+002 5.2e-009 1.27
51 8.7e-006 1.3e-002 5.3e-004 1.00e+000 1.664626088e+002 1.664823580e+002 4.6e-009 1.30
52 7.8e-006 1.2e-002 4.8e-004 1.00e+000 1.664639231e+002 1.664816971e+002 4.2e-009 1.31
53 7.0e-006 1.2e-002 4.3e-004 1.00e+000 1.664651050e+002 1.664811014e+002 3.8e-009 1.33
54 6.3e-006 1.2e-002 3.9e-004 1.00e+000 1.664661680e+002 1.664805646e+002 3.4e-009 1.36
55 5.7e-006 1.1e-002 3.5e-004 1.00e+000 1.664671242e+002 1.664800810e+002 3.0e-009 1.38
56 5.1e-006 1.1e-002 3.1e-004 1.00e+000 1.664679842e+002 1.664796452e+002 2.7e-009 1.41
57 4.6e-006 1.1e-002 2.8e-004 1.00e+000 1.664687577e+002 1.664792527e+002 2.5e-009 1.42
58 4.1e-006 1.0e-002 2.5e-004 1.00e+000 1.664694536e+002 1.664788990e+002 2.2e-009 1.45
59 3.7e-006 1.0e-002 2.3e-004 1.00e+000 1.664700796e+002 1.664785804e+002 2.0e-009 1.47
60 3.4e-006 9.9e-003 2.1e-004 1.00e+000 1.664706427e+002 1.664782934e+002 1.8e-009 1.49
61 3.0e-006 9.7e-003 1.9e-004 1.00e+000 1.664711492e+002 1.664780349e+002 1.6e-009 1.52
62 2.7e-006 9.5e-003 1.7e-004 1.00e+000 1.664716049e+002 1.664778020e+002 1.5e-009 1.53
63 2.4e-006 9.3e-003 1.5e-004 1.00e+000 1.664720149e+002 1.664775923e+002 1.3e-009 1.56
64 2.2e-006 9.2e-003 1.4e-004 1.00e+000 1.664723838e+002 1.664774035e+002 1.2e-009 1.58
65 2.0e-006 9.1e-003 1.2e-004 1.00e+000 1.664727158e+002 1.664772335e+002 1.1e-009 1.61
66 1.8e-006 8.9e-003 1.1e-004 1.00e+000 1.664730145e+002 1.664770805e+002 9.6e-010 1.63
67 1.6e-006 8.8e-003 9.9e-005 1.00e+000 1.664732834e+002 1.664769428e+002 8.6e-010 1.66
68 1.4e-006 8.7e-003 8.9e-005 1.00e+000 1.664735253e+002 1.664768188e+002 7.7e-010 1.67
69 1.3e-006 8.6e-003 8.0e-005 1.00e+000 1.664737431e+002 1.664767072e+002 7.0e-010 1.70
70 1.2e-006 8.6e-003 7.2e-005 1.00e+000 1.664739390e+002 1.664766068e+002 6.3e-010 1.72
71 1.1e-006 8.5e-003 6.5e-005 1.00e+000 1.664741153e+002 1.664765163e+002 5.6e-010 1.75
72 9.5e-007 8.4e-003 5.8e-005 1.00e+000 1.664742740e+002 1.664764349e+002 5.1e-010 1.77
73 8.5e-007 8.4e-003 5.2e-005 1.00e+000 1.664744168e+002 1.664763616e+002 4.6e-010 1.78
74 7.7e-007 8.3e-003 4.7e-005 1.00e+000 1.664745453e+002 1.664762956e+002 4.1e-010 1.81
75 6.9e-007 8.2e-003 4.2e-005 1.00e+000 1.664746608e+002 1.664762362e+002 3.7e-010 1.84
76 6.2e-007 8.2e-003 3.8e-005 1.00e+000 1.664747648e+002 1.664761826e+002 3.3e-010 1.86
77 5.6e-007 8.2e-003 3.4e-005 1.00e+000 1.664748584e+002 1.664761345e+002 3.0e-010 1.89
78 5.0e-007 8.1e-003 3.1e-005 1.00e+000 1.664749425e+002 1.664760910e+002 2.7e-010 1.91
79 4.5e-007 8.1e-003 2.8e-005 1.00e+000 1.664750183e+002 1.664760519e+002 2.4e-010 1.94
80 4.1e-007 8.0e-003 2.5e-005 1.00e+000 1.664750863e+002 1.664760166e+002 2.2e-010 1.95
81 3.7e-007 8.0e-003 2.3e-005 1.00e+000 1.664751476e+002 1.664759848e+002 2.0e-010 1.99
82 3.3e-007 8.0e-003 2.0e-005 1.00e+000 1.664752027e+002 1.664759562e+002 1.8e-010 2.00
83 3.0e-007 7.9e-003 1.8e-005 1.00e+000 1.664752523e+002 1.664759304e+002 1.6e-010 2.03
84 2.7e-007 7.9e-003 1.6e-005 1.00e+000 1.664752969e+002 1.664759072e+002 1.4e-010 2.05
85 2.4e-007 7.9e-003 1.5e-005 1.00e+000 1.664753370e+002 1.664758863e+002 1.3e-010 2.08
86 2.2e-007 7.9e-003 1.3e-005 1.00e+000 1.664753731e+002 1.664758675e+002 1.2e-010 2.09
87 2.0e-007 7.9e-003 1.2e-005 1.00e+000 1.664754056e+002 1.664758505e+002 1.0e-010 2.11
88 1.8e-007 7.8e-003 1.1e-005 1.00e+000 1.664754348e+002 1.664758353e+002 9.4e-011 2.14
89 1.6e-007 7.8e-003 9.7e-006 1.00e+000 1.664754611e+002 1.664758215e+002 8.5e-011 2.16
90 1.4e-007 7.8e-003 8.8e-006 1.00e+000 1.664754848e+002 1.664758091e+002 7.6e-011 2.19
91 1.3e-007 7.8e-003 7.9e-006 9.99e-001 1.664755061e+002 1.664757980e+002 6.9e-011 2.20
92 1.2e-007 7.8e-003 7.1e-006 1.00e+000 1.664755252e+002 1.664757880e+002 6.2e-011 2.22
93 1.0e-007 7.8e-003 6.4e-006 1.00e+000 1.664755425e+002 1.664757790e+002 5.6e-011 2.25
94 9.3e-008 7.7e-003 5.7e-006 1.00e+000 1.664755580e+002 1.664757708e+002 5.0e-011 2.27
95 8.4e-008 7.7e-003 5.2e-006 1.00e+000 1.664755720e+002 1.664757635e+002 4.5e-011 2.30
96 7.6e-008 7.7e-003 4.7e-006 1.00e+000 1.664755845e+002 1.664757569e+002 4.1e-011 2.31
97 6.8e-008 7.7e-003 4.2e-006 1.00e+000 1.664755958e+002 1.664757510e+002 3.6e-011 2.33
98 6.1e-008 7.7e-003 3.8e-006 1.00e+000 1.664756060e+002 1.664757457e+002 3.3e-011 2.36
99 5.5e-008 7.7e-003 3.4e-006 1.00e+000 1.664756152e+002 1.664757409e+002 3.0e-011 2.38
100 5.0e-008 7.7e-003 3.1e-006 1.00e+000 1.664756234e+002 1.664757365e+002 2.7e-011 2.39
101 4.5e-008 7.6e-003 2.7e-006 1.00e+000 1.664756308e+002 1.664757326e+002 2.4e-011 2.42
102 4.0e-008 7.6e-003 2.5e-006 1.00e+000 1.664756375e+002 1.664757291e+002 2.2e-011 2.44
103 3.6e-008 7.6e-003 2.2e-006 9.99e-001 1.664756435e+002 1.664757260e+002 1.9e-011 2.47
104 3.3e-008 7.6e-003 2.0e-006 1.00e+000 1.664756489e+002 1.664757231e+002 1.7e-011 2.48
105 2.9e-008 7.6e-003 1.8e-006 1.00e+000 1.664756538e+002 1.664757206e+002 1.6e-011 2.50
106 2.6e-008 7.6e-003 1.6e-006 1.00e+000 1.664756582e+002 1.664757183e+002 1.4e-011 2.53
107 2.4e-008 7.6e-003 1.5e-006 1.00e+000 1.664756621e+002 1.664757162e+002 1.3e-011 2.55
108 2.1e-008 7.6e-003 1.3e-006 9.98e-001 1.664756657e+002 1.664757144e+002 1.1e-011 2.58
109 1.9e-008 7.6e-003 1.2e-006 9.98e-001 1.664756689e+002 1.664757127e+002 1.0e-011 2.59
110 1.7e-008 7.6e-003 1.1e-006 9.99e-001 1.664756717e+002 1.664757112e+002 9.3e-012 2.63
111 1.6e-008 6.8e-003 9.6e-007 1.00e+000 1.664756744e+002 1.664757098e+002 8.4e-012 2.64
112 1.4e-008 6.1e-003 8.6e-007 1.01e+000 1.664756768e+002 1.664757085e+002 7.6e-012 2.67
113 1.3e-008 5.5e-003 7.8e-007 9.99e-001 1.664756789e+002 1.664757074e+002 6.8e-012 2.69
114 1.1e-008 5.0e-003 7.0e-007 1.00e+000 1.664756807e+002 1.664757065e+002 6.1e-012 2.72
115 1.0e-008 4.5e-003 6.3e-007 1.00e+000 1.664756825e+002 1.664757056e+002 5.5e-012 2.73
116 9.3e-009 4.0e-003 5.7e-007 1.01e+000 1.664756840e+002 1.664757047e+002 5.0e-012 2.75
117 3.7e-009 4.4e-004 6.2e-008 1.02e+000 1.664756961e+002 1.664756983e+002 5.2e-013 2.78
Interior-point optimizer terminated. Time: 2.78.
Optimizer terminated. Time: 2.78
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569608e+002 nrm: 2e+001 Viol. con: 1e-007 var: 0e+000
Dual. obj: 1.6647569833e+002 nrm: 1e+003 Viol. con: 0e+000 var: 3e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.82 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.05
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.48e+004 after factor : 1.48e+005
Factor - dense dim. : 0 flops : 2.93e+007
Factor - GP saved nzs : 3.33e+004 GP saved flops : 9.12e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.1e+003 1.2e+005 0.00e+000 -1.226806720e+005 2.000000000e+000 1.0e+000 0.09
1 1.7e+003 2.2e+003 8.9e+004 -9.71e-001 -1.219491848e+005 2.617495992e+000 7.3e-001 0.13
2 8.7e+002 1.2e+003 4.7e+004 -9.59e-001 -1.196377261e+005 4.636685652e+000 3.8e-001 0.16
3 2.9e+002 3.9e+002 1.5e+004 -9.21e-001 -1.106361529e+005 2.012612674e+001 1.3e-001 0.17
4 2.9e+002 3.8e+002 1.5e+004 -7.71e-001 -1.084204318e+005 1.961777053e+003 1.3e-001 0.20
5 1.2e+002 1.6e+002 6.3e+003 -7.61e-001 -8.697391411e+004 6.281938783e+003 5.2e-002 0.22
6 2.8e+001 3.7e+001 1.5e+003 -4.44e-001 -3.497853422e+004 1.243733738e+004 1.2e-002 0.23
7 1.8e+001 2.4e+001 9.7e+002 4.56e-001 -2.544128492e+004 7.282435834e+003 8.0e-003 0.27
8 1.0e+001 1.4e+001 5.4e+002 6.41e-001 -1.522165589e+004 4.310637560e+003 4.5e-003 0.28
9 4.0e+000 5.3e+000 2.2e+002 8.13e-001 -6.144883638e+003 1.969711650e+003 1.8e-003 0.30
10 2.1e+000 2.8e+000 1.1e+002 9.47e-001 -3.044502970e+003 1.207457923e+003 9.3e-004 0.31
11 8.6e-001 1.1e+000 4.7e+001 9.86e-001 -1.157996544e+003 6.459955188e+002 3.9e-004 0.34
12 8.3e-001 1.1e+000 4.5e+001 9.58e-001 -1.138132235e+003 6.183835428e+002 3.8e-004 0.36
13 5.3e-001 7.1e-001 2.9e+001 9.71e-001 -6.888562929e+002 4.420652301e+002 2.4e-004 0.38
14 3.5e-001 4.7e-001 1.9e+001 1.00e+000 -3.794801659e+002 3.620429880e+002 1.6e-004 0.41
15 1.2e-001 1.8e-001 6.4e+000 9.97e-001 -3.092661659e+001 2.180453123e+002 5.4e-005 0.42
16 8.4e-002 1.3e-001 4.7e+000 1.02e+000 2.357132243e+001 2.044237343e+002 4.0e-005 0.44
17 5.0e-002 8.3e-002 2.8e+000 1.02e+000 8.413080953e+001 1.910325595e+002 2.4e-005 0.47
18 1.3e-002 1.6e-001 7.4e-001 1.02e+000 1.457940947e+002 1.736490331e+002 6.2e-006 0.48
19 4.2e-003 2.0e-001 2.4e-001 1.01e+000 1.597513290e+002 1.688127797e+002 2.0e-006 0.52
20 2.1e-003 2.3e-001 1.2e-001 1.01e+000 1.630959323e+002 1.676537467e+002 1.0e-006 0.53
21 6.2e-004 1.5e-001 3.8e-002 1.01e+000 1.654452793e+002 1.668584758e+002 3.2e-007 0.55
22 4.1e-004 1.1e-001 2.5e-002 9.98e-001 1.657900985e+002 1.667152215e+002 2.1e-007 0.58
23 2.4e-004 8.1e-002 1.5e-002 9.86e-001 1.660526906e+002 1.666096241e+002 1.3e-007 0.59
24 2.0e-004 6.7e-002 1.2e-002 9.99e-001 1.661292060e+002 1.665838658e+002 1.0e-007 0.63
25 1.8e-004 6.2e-002 1.1e-002 1.01e+000 1.661615251e+002 1.665704642e+002 9.5e-008 0.64
26 1.6e-004 5.7e-002 9.9e-003 1.01e+000 1.661901237e+002 1.665580434e+002 8.5e-008 0.66
27 1.4e-004 5.2e-002 8.9e-003 1.00e+000 1.662159550e+002 1.665470383e+002 7.7e-008 0.69
28 1.3e-004 4.7e-002 8.0e-003 1.00e+000 1.662391076e+002 1.665370450e+002 6.9e-008 0.70
29 1.2e-004 4.3e-002 7.2e-003 1.00e+000 1.662598912e+002 1.665280069e+002 6.2e-008 0.72
30 1.1e-004 4.0e-002 6.5e-003 1.00e+000 1.662785451e+002 1.665198280e+002 5.6e-008 0.75
31 9.5e-005 3.6e-002 5.8e-003 1.00e+000 1.662952889e+002 1.665124278e+002 5.0e-008 0.77
32 8.6e-005 3.3e-002 5.2e-003 1.00e+000 1.663103185e+002 1.665057318e+002 4.5e-008 0.78
33 7.7e-005 3.1e-002 4.7e-003 1.00e+000 1.663238098e+002 1.664996733e+002 4.1e-008 0.81
34 6.9e-005 2.9e-002 4.2e-003 1.00e+000 1.663359208e+002 1.664941917e+002 3.7e-008 0.83
35 6.2e-005 2.6e-002 3.8e-003 1.00e+000 1.663467931e+002 1.664892325e+002 3.3e-008 0.86
36 5.6e-005 2.5e-002 3.4e-003 1.00e+000 1.663565542e+002 1.664847465e+002 3.0e-008 0.88
37 5.1e-005 2.3e-002 3.1e-003 1.00e+000 1.663653183e+002 1.664806891e+002 2.7e-008 0.89
38 4.5e-005 2.1e-002 2.8e-003 1.00e+000 1.663731880e+002 1.664770202e+002 2.4e-008 0.92
39 4.1e-005 2.0e-002 2.5e-003 1.00e+000 1.663802551e+002 1.664737030e+002 2.2e-008 0.94
40 3.7e-005 1.9e-002 2.3e-003 1.00e+000 1.663866022e+002 1.664707046e+002 2.0e-008 0.97
41 3.3e-005 1.8e-002 2.0e-003 1.00e+000 1.663923029e+002 1.664679946e+002 1.8e-008 0.98
42 3.0e-005 1.7e-002 1.8e-003 1.00e+000 1.663974236e+002 1.664655459e+002 1.6e-008 1.01
43 2.7e-005 1.6e-002 1.6e-003 1.00e+000 1.664020235e+002 1.664633334e+002 1.4e-008 1.03
44 2.4e-005 1.5e-002 1.5e-003 1.00e+000 1.664061559e+002 1.664613348e+002 1.3e-008 1.05
45 2.2e-005 1.4e-002 1.3e-003 1.00e+000 1.664098685e+002 1.664595295e+002 1.2e-008 1.08
46 2.0e-005 1.4e-002 1.2e-003 1.00e+000 1.664132041e+002 1.664578991e+002 1.0e-008 1.09
47 1.8e-005 1.3e-002 1.1e-003 1.00e+000 1.664162012e+002 1.664564269e+002 9.4e-009 1.11
48 1.6e-005 1.2e-002 9.7e-004 1.00e+000 1.664188943e+002 1.664550976e+002 8.4e-009 1.14
49 1.4e-005 1.2e-002 8.8e-004 1.00e+000 1.664213144e+002 1.664538975e+002 7.6e-009 1.16
50 1.3e-005 1.2e-002 7.9e-004 1.00e+000 1.664234893e+002 1.664528142e+002 6.8e-009 1.19
51 1.2e-005 1.1e-002 7.1e-004 1.00e+000 1.664254439e+002 1.664518365e+002 6.1e-009 1.20
52 1.0e-005 1.1e-002 6.4e-004 1.00e+000 1.664272007e+002 1.664509542e+002 5.5e-009 1.22
53 9.4e-006 1.1e-002 5.7e-004 1.00e+000 1.664287798e+002 1.664501581e+002 5.0e-009 1.25
54 8.4e-006 1.0e-002 5.2e-004 1.00e+000 1.664301992e+002 1.664494398e+002 4.5e-009 1.26
55 7.6e-006 1.0e-002 4.7e-004 1.00e+000 1.664314752e+002 1.664487919e+002 4.0e-009 1.30
56 6.8e-006 9.9e-003 4.2e-004 1.00e+000 1.664326224e+002 1.664482075e+002 3.6e-009 1.31
57 6.1e-006 9.7e-003 3.8e-004 1.00e+000 1.664336538e+002 1.664476805e+002 3.3e-009 1.33
58 5.5e-006 9.6e-003 3.4e-004 1.00e+000 1.664345810e+002 1.664472052e+002 2.9e-009 1.36
59 5.0e-006 9.4e-003 3.1e-004 1.00e+000 1.664354148e+002 1.664467766e+002 2.6e-009 1.38
60 4.5e-006 9.3e-003 2.7e-004 1.00e+000 1.664361645e+002 1.664463902e+002 2.4e-009 1.39
61 4.0e-006 9.1e-003 2.5e-004 1.00e+000 1.664368385e+002 1.664460418e+002 2.1e-009 1.42
62 3.6e-006 9.0e-003 2.2e-004 1.00e+000 1.664374446e+002 1.664457277e+002 1.9e-009 1.44
63 3.3e-006 8.9e-003 2.0e-004 1.00e+000 1.664379896e+002 1.664454444e+002 1.7e-009 1.45
64 2.9e-006 8.8e-003 1.8e-004 1.00e+000 1.664384797e+002 1.664451891e+002 1.6e-009 1.47
65 2.6e-006 8.7e-003 1.6e-004 1.00e+000 1.664389205e+002 1.664449590e+002 1.4e-009 1.50
66 2.4e-006 8.7e-003 1.5e-004 1.00e+000 1.664393169e+002 1.664447516e+002 1.3e-009 1.51
67 2.1e-006 8.6e-003 1.3e-004 1.00e+000 1.664396735e+002 1.664445647e+002 1.1e-009 1.53
68 1.9e-006 8.5e-003 1.2e-004 1.00e+000 1.664399942e+002 1.664443964e+002 1.0e-009 1.56
69 1.7e-006 8.4e-003 1.1e-004 1.00e+000 1.664402828e+002 1.664442448e+002 9.2e-010 1.58
70 1.6e-006 8.4e-003 9.6e-005 1.00e+000 1.664405424e+002 1.664441082e+002 8.3e-010 1.59
71 1.4e-006 8.3e-003 8.6e-005 1.00e+000 1.664407759e+002 1.664439852e+002 7.5e-010 1.63
72 1.3e-006 8.3e-003 7.8e-005 1.00e+000 1.664409860e+002 1.664438744e+002 6.7e-010 1.64
73 1.1e-006 8.2e-003 7.0e-005 1.00e+000 1.664411750e+002 1.664437746e+002 6.1e-010 1.66
74 1.0e-006 8.2e-003 6.3e-005 1.00e+000 1.664413451e+002 1.664436847e+002 5.5e-010 1.69
75 9.2e-007 8.1e-003 5.7e-005 1.00e+000 1.664414981e+002 1.664436038e+002 4.9e-010 1.70
76 8.3e-007 8.1e-003 5.1e-005 1.00e+000 1.664416357e+002 1.664435308e+002 4.4e-010 1.73
77 7.5e-007 8.1e-003 4.6e-005 1.00e+000 1.664417595e+002 1.664434652e+002 4.0e-010 1.75
78 6.7e-007 8.0e-003 4.1e-005 1.00e+000 1.664418709e+002 1.664434060e+002 3.6e-010 1.76
79 6.1e-007 8.0e-003 3.7e-005 1.00e+000 1.664419711e+002 1.664433527e+002 3.2e-010 1.80
80 5.4e-007 8.0e-003 3.3e-005 1.00e+000 1.664420613e+002 1.664433047e+002 2.9e-010 1.81
81 4.9e-007 7.9e-003 3.0e-005 1.00e+000 1.664421423e+002 1.664432615e+002 2.6e-010 1.84
82 4.4e-007 7.9e-003 2.7e-005 1.00e+000 1.664422153e+002 1.664432225e+002 2.3e-010 1.86
83 4.0e-007 7.9e-003 2.4e-005 1.00e+000 1.664422809e+002 1.664431874e+002 2.1e-010 1.89
84 3.6e-007 7.9e-003 2.2e-005 1.00e+000 1.664423399e+002 1.664431558e+002 1.9e-010 1.91
85 3.2e-007 7.8e-003 2.0e-005 1.00e+000 1.664423930e+002 1.664431273e+002 1.7e-010 1.94
86 2.9e-007 7.8e-003 1.8e-005 1.00e+000 1.664424408e+002 1.664431017e+002 1.5e-010 1.97
87 2.6e-007 7.8e-003 1.6e-005 1.00e+000 1.664424838e+002 1.664430786e+002 1.4e-010 1.98
88 2.3e-007 7.8e-003 1.4e-005 1.00e+000 1.664425226e+002 1.664430579e+002 1.2e-010 2.02
89 2.1e-007 7.8e-003 1.3e-005 1.00e+000 1.664425574e+002 1.664430392e+002 1.1e-010 2.03
90 1.9e-007 7.7e-003 1.2e-005 1.00e+000 1.664425887e+002 1.664430224e+002 1.0e-010 2.06
91 1.7e-007 7.7e-003 1.0e-005 1.00e+000 1.664426169e+002 1.664430072e+002 9.1e-011 2.08
92 1.5e-007 7.7e-003 9.4e-006 1.00e+000 1.664426423e+002 1.664429936e+002 8.2e-011 2.11
93 1.4e-007 7.7e-003 8.5e-006 1.00e+000 1.664426652e+002 1.664429813e+002 7.4e-011 2.13
94 1.2e-007 7.7e-003 7.6e-006 1.00e+000 1.664426858e+002 1.664429703e+002 6.6e-011 2.16
95 1.1e-007 7.7e-003 6.9e-006 1.00e+000 1.664427043e+002 1.664429603e+002 6.0e-011 2.17
96 1.0e-007 7.7e-003 6.2e-006 1.00e+000 1.664427209e+002 1.664429514e+002 5.4e-011 2.19
97 9.1e-008 7.6e-003 5.6e-006 1.00e+000 1.664427359e+002 1.664429434e+002 4.8e-011 2.22
98 8.2e-008 7.6e-003 5.0e-006 9.99e-001 1.664427494e+002 1.664429362e+002 4.4e-011 2.23
99 7.4e-008 7.6e-003 4.5e-006 1.00e+000 1.664427616e+002 1.664429296e+002 3.9e-011 2.27
100 6.6e-008 7.6e-003 4.1e-006 9.99e-001 1.664427725e+002 1.664429238e+002 3.5e-011 2.28
101 6.0e-008 7.6e-003 3.7e-006 1.00e+000 1.664427824e+002 1.664429185e+002 3.2e-011 2.31
102 5.4e-008 7.6e-003 3.3e-006 1.00e+000 1.664427912e+002 1.664429138e+002 2.9e-011 2.33
103 4.8e-008 7.6e-003 3.0e-006 1.00e+000 1.664427992e+002 1.664429095e+002 2.6e-011 2.34
104 4.3e-008 7.6e-003 2.7e-006 1.00e+000 1.664428064e+002 1.664429056e+002 2.3e-011 2.38
105 3.9e-008 7.6e-003 2.4e-006 1.00e+000 1.664428128e+002 1.664429022e+002 2.1e-011 2.39
106 3.5e-008 7.6e-003 2.2e-006 1.00e+000 1.664428186e+002 1.664428990e+002 1.9e-011 2.42
107 3.2e-008 7.6e-003 1.9e-006 1.00e+000 1.664428239e+002 1.664428962e+002 1.7e-011 2.44
108 2.9e-008 6.8e-003 1.8e-006 1.00e+000 1.664428286e+002 1.664428937e+002 1.5e-011 2.47
109 2.6e-008 6.1e-003 1.6e-006 1.00e+000 1.664428328e+002 1.664428914e+002 1.4e-011 2.48
110 2.3e-008 5.5e-003 1.4e-006 1.00e+000 1.664428366e+002 1.664428894e+002 1.2e-011 2.52
111 2.1e-008 5.0e-003 1.3e-006 1.00e+000 1.664428401e+002 1.664428875e+002 1.1e-011 2.53
112 1.9e-008 4.5e-003 1.1e-006 9.99e-001 1.664428432e+002 1.664428859e+002 1.0e-011 2.55
113 1.7e-008 4.0e-003 1.0e-006 1.00e+000 1.664428460e+002 1.664428844e+002 9.0e-012 2.58
114 1.5e-008 3.6e-003 9.3e-007 1.00e+000 1.664428485e+002 1.664428830e+002 8.1e-012 2.59
115 1.4e-008 3.3e-003 8.4e-007 1.01e+000 1.664428508e+002 1.664428818e+002 7.3e-012 2.63
116 1.2e-008 2.9e-003 7.5e-007 1.00e+000 1.664428528e+002 1.664428807e+002 6.6e-012 2.64
117 1.1e-008 2.6e-003 6.8e-007 9.98e-001 1.664428546e+002 1.664428798e+002 5.9e-012 2.66
118 1.0e-008 2.4e-003 6.1e-007 9.99e-001 1.664428562e+002 1.664428789e+002 5.3e-012 2.69
119 9.6e-009 2.1e-003 5.5e-007 9.67e-001 1.664428576e+002 1.664428783e+002 4.8e-012 2.70
120 8.6e-009 1.9e-003 4.9e-007 1.02e+000 1.664428591e+002 1.664428775e+002 4.3e-012 2.73
121 7.7e-009 1.7e-003 4.4e-007 1.02e+000 1.664428604e+002 1.664428767e+002 3.9e-012 2.75
122 7.0e-009 1.6e-003 4.0e-007 9.80e-001 1.664428614e+002 1.664428761e+002 3.5e-012 2.78
123 6.2e-009 1.4e-003 3.6e-007 1.00e+000 1.664428624e+002 1.664428756e+002 3.2e-012 2.80
124 1.6e-008 1.4e-003 3.2e-007 8.48e-001 1.664428631e+002 1.664428758e+002 2.9e-012 2.83
125 1.6e-008 1.2e-003 2.9e-007 1.04e+000 1.664428640e+002 1.664428753e+002 2.6e-012 2.84
126 1.3e-008 1.1e-003 2.6e-007 9.47e-001 1.664428647e+002 1.664428749e+002 2.4e-012 2.88
127 1.2e-008 1.1e-003 2.4e-007 9.06e-001 1.664428653e+002 1.664428747e+002 2.1e-012 2.89
128 1.2e-008 9.6e-004 2.1e-007 1.07e+000 1.664428660e+002 1.664428742e+002 2.0e-012 2.92
129 1.1e-008 8.7e-004 1.9e-007 9.13e-001 1.664428665e+002 1.664428739e+002 1.8e-012 2.94
130 9.7e-009 7.8e-004 1.7e-007 9.77e-001 1.664428670e+002 1.664428736e+002 1.6e-012 2.97
131 8.8e-009 7.0e-004 1.6e-007 9.99e-001 1.664428674e+002 1.664428734e+002 1.5e-012 2.98
132 7.9e-009 6.3e-004 1.4e-007 1.01e+000 1.664428677e+002 1.664428731e+002 1.3e-012 3.02
133 7.1e-009 5.7e-004 1.3e-007 9.96e-001 1.664428680e+002 1.664428729e+002 1.2e-012 3.03
134 6.4e-009 5.1e-004 1.1e-007 1.03e+000 1.664428684e+002 1.664428727e+002 1.1e-012 3.06
135 5.7e-009 4.6e-004 1.0e-007 9.62e-001 1.664428686e+002 1.664428725e+002 9.7e-013 3.08
Interior-point optimizer terminated. Time: 3.08.
Optimizer terminated. Time: 3.09
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286863e+002 nrm: 2e+001 Viol. con: 1e-007 var: 0e+000
Dual. obj: 1.6644287250e+002 nrm: 1e+003 Viol. con: 0e+000 var: 3e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.13 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (312) of matrix 'A'.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.48e+004 after factor : 1.48e+005
Factor - dense dim. : 0 flops : 2.93e+007
Factor - GP saved nzs : 3.33e+004 GP saved flops : 9.12e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.1e+003 1.2e+005 0.00e+000 -1.226801879e+005 2.000000000e+000 1.0e+000 0.08
1 1.7e+003 2.2e+003 8.9e+004 -9.71e-001 -1.219485528e+005 2.617414593e+000 7.3e-001 0.11
2 8.7e+002 1.2e+003 4.7e+004 -9.59e-001 -1.196364657e+005 4.636401427e+000 3.8e-001 0.14
3 2.9e+002 3.9e+002 1.5e+004 -9.21e-001 -1.106158286e+005 2.014129696e+001 1.3e-001 0.17
4 2.9e+002 3.8e+002 1.5e+004 -7.70e-001 -1.083972792e+005 1.965947448e+003 1.3e-001 0.20
5 1.2e+002 1.6e+002 6.3e+003 -7.61e-001 -8.697816667e+004 6.259175118e+003 5.2e-002 0.22
6 2.6e+001 3.5e+001 1.4e+003 -4.45e-001 -3.295066978e+004 1.266446066e+004 1.2e-002 0.25
7 1.7e+001 2.3e+001 9.2e+002 4.94e-001 -2.416410948e+004 7.106816742e+003 7.6e-003 0.28
8 1.0e+001 1.3e+001 5.4e+002 6.63e-001 -1.508051712e+004 4.346566371e+003 4.5e-003 0.31
9 4.0e+000 5.4e+000 2.2e+002 8.15e-001 -6.179967954e+003 1.982142317e+003 1.8e-003 0.34
10 2.1e+000 2.8e+000 1.1e+002 9.46e-001 -3.054868182e+003 1.203017350e+003 9.2e-004 0.36
11 8.4e-001 1.1e+000 4.6e+001 9.86e-001 -1.130707029e+003 6.332361926e+002 3.8e-004 0.39
12 8.2e-001 1.1e+000 4.5e+001 9.51e-001 -1.123325353e+003 6.088012732e+002 3.7e-004 0.41
13 5.2e-001 7.0e-001 2.8e+001 9.70e-001 -6.752902948e+002 4.367358081e+002 2.4e-004 0.44
14 3.3e-001 4.6e-001 1.8e+001 1.00e+000 -3.600088349e+002 3.538069143e+002 1.5e-004 0.45
15 1.1e-001 1.8e-001 6.2e+000 9.97e-001 -2.521086951e+001 2.163980822e+002 5.3e-005 0.48
16 8.4e-002 1.4e-001 4.7e+000 1.02e+000 2.402948827e+001 2.054512383e+002 4.0e-005 0.50
17 4.4e-002 8.3e-002 2.4e+000 1.02e+000 9.488613832e+001 1.878251676e+002 2.1e-005 0.53
18 1.5e-002 8.5e-002 8.4e-001 1.02e+000 1.427846743e+002 1.744479100e+002 7.1e-006 0.56
19 6.8e-003 7.5e-002 3.9e-001 1.01e+000 1.553129812e+002 1.698394498e+002 3.3e-006 0.58
20 1.6e-003 1.6e-001 9.7e-002 1.01e+000 1.638198136e+002 1.674577497e+002 8.2e-007 0.61
21 9.3e-004 1.1e-001 5.6e-002 9.78e-001 1.649298333e+002 1.670134668e+002 4.7e-007 0.63
22 2.9e-004 1.1e-001 1.8e-002 9.88e-001 1.659498711e+002 1.666326685e+002 1.6e-007 0.66
23 1.2e-004 9.3e-002 8.0e-003 1.01e+000 1.662161081e+002 1.665134991e+002 6.9e-008 0.67
24 1.1e-004 8.6e-002 7.2e-003 1.01e+000 1.662388390e+002 1.665064963e+002 6.2e-008 0.70
25 1.0e-004 7.8e-002 6.4e-003 1.01e+000 1.662573148e+002 1.664980817e+002 5.6e-008 0.72
26 9.1e-005 7.1e-002 5.8e-003 1.01e+000 1.662741560e+002 1.664907768e+002 5.1e-008 0.75
27 8.2e-005 6.4e-002 5.2e-003 1.01e+000 1.662892418e+002 1.664841392e+002 4.5e-008 0.77
28 7.4e-005 5.9e-002 4.7e-003 1.01e+000 1.663027860e+002 1.664781428e+002 4.1e-008 0.80
29 6.6e-005 5.4e-002 4.2e-003 1.01e+000 1.663149378e+002 1.664727157e+002 3.7e-008 0.81
30 6.0e-005 4.9e-002 3.8e-003 1.01e+000 1.663258421e+002 1.664678058e+002 3.3e-008 0.84
31 5.4e-005 4.5e-002 3.4e-003 1.01e+000 1.663356278e+002 1.664633648e+002 3.0e-008 0.88
32 4.8e-005 4.1e-002 3.1e-003 1.01e+000 1.663444109e+002 1.664593492e+002 2.7e-008 0.89
33 4.4e-005 3.8e-002 2.8e-003 1.01e+000 1.663522953e+002 1.664557191e+002 2.4e-008 0.91
34 3.9e-005 3.5e-002 2.5e-003 1.01e+000 1.663593736e+002 1.664524382e+002 2.2e-008 0.94
35 3.5e-005 3.2e-002 2.3e-003 1.01e+000 1.663657292e+002 1.664494735e+002 2.0e-008 0.97
36 3.2e-005 3.0e-002 2.0e-003 1.00e+000 1.663714364e+002 1.664467950e+002 1.8e-008 0.98
37 2.9e-005 2.7e-002 1.8e-003 1.00e+000 1.663765620e+002 1.664443755e+002 1.6e-008 1.02
38 2.6e-005 2.5e-002 1.6e-003 1.00e+000 1.663811655e+002 1.664421903e+002 1.4e-008 1.03
39 2.3e-005 2.4e-002 1.5e-003 1.00e+000 1.663853006e+002 1.664402169e+002 1.3e-008 1.05
40 2.1e-005 2.2e-002 1.3e-003 1.00e+000 1.663890152e+002 1.664384351e+002 1.2e-008 1.08
41 1.9e-005 2.1e-002 1.2e-003 1.00e+000 1.663923524e+002 1.664368263e+002 1.0e-008 1.11
42 1.7e-005 1.9e-002 1.1e-003 1.00e+000 1.663953507e+002 1.664353741e+002 9.4e-009 1.13
43 1.5e-005 1.8e-002 9.7e-004 1.00e+000 1.663980447e+002 1.664340633e+002 8.4e-009 1.16
44 1.4e-005 1.7e-002 8.7e-004 1.00e+000 1.664004655e+002 1.664328802e+002 7.6e-009 1.17
45 1.2e-005 1.6e-002 7.9e-004 1.00e+000 1.664026410e+002 1.664318126e+002 6.8e-009 1.20
46 1.1e-005 1.6e-002 7.1e-004 1.00e+000 1.664045962e+002 1.664308494e+002 6.2e-009 1.23
47 1.0e-005 1.5e-002 6.4e-004 1.00e+000 1.664063534e+002 1.664299803e+002 5.5e-009 1.27
48 9.0e-006 1.4e-002 5.7e-004 1.00e+000 1.664079329e+002 1.664291963e+002 5.0e-009 1.28
49 8.1e-006 1.4e-002 5.2e-004 1.00e+000 1.664093528e+002 1.664284892e+002 4.5e-009 1.30
50 7.3e-006 1.3e-002 4.6e-004 1.00e+000 1.664106292e+002 1.664278516e+002 4.0e-009 1.33
51 6.5e-006 1.2e-002 4.2e-004 1.00e+000 1.664117767e+002 1.664272765e+002 3.6e-009 1.34
52 5.9e-006 1.2e-002 3.8e-004 1.00e+000 1.664128085e+002 1.664267580e+002 3.3e-009 1.38
53 5.3e-006 1.2e-002 3.4e-004 1.00e+000 1.664137362e+002 1.664262906e+002 2.9e-009 1.39
54 4.8e-006 1.1e-002 3.0e-004 1.00e+000 1.664145703e+002 1.664258692e+002 2.7e-009 1.42
55 4.3e-006 1.1e-002 2.7e-004 1.00e+000 1.664153204e+002 1.664254893e+002 2.4e-009 1.44
56 3.9e-006 1.1e-002 2.5e-004 1.00e+000 1.664159949e+002 1.664251468e+002 2.1e-009 1.45
57 3.5e-006 1.0e-002 2.2e-004 1.00e+000 1.664166015e+002 1.664248381e+002 1.9e-009 1.48
58 3.1e-006 1.0e-002 2.0e-004 1.00e+000 1.664171469e+002 1.664245599e+002 1.7e-009 1.50
59 2.8e-006 1.0e-002 1.8e-004 1.00e+000 1.664176374e+002 1.664243091e+002 1.6e-009 1.53
60 2.5e-006 9.8e-003 1.6e-004 1.00e+000 1.664180786e+002 1.664240831e+002 1.4e-009 1.55
61 2.3e-006 9.7e-003 1.5e-004 1.00e+000 1.664184754e+002 1.664238794e+002 1.3e-009 1.58
62 2.0e-006 9.5e-003 1.3e-004 1.00e+000 1.664188324e+002 1.664236960e+002 1.1e-009 1.59
63 1.8e-006 9.4e-003 1.2e-004 1.00e+000 1.664191535e+002 1.664235308e+002 1.0e-009 1.61
64 1.7e-006 9.2e-003 1.1e-004 1.00e+000 1.664194424e+002 1.664233820e+002 9.3e-010 1.64
65 1.5e-006 9.1e-003 9.6e-005 1.00e+000 1.664197024e+002 1.664232480e+002 8.3e-010 1.66
66 1.3e-006 9.0e-003 8.6e-005 1.00e+000 1.664199362e+002 1.664231273e+002 7.5e-010 1.69
67 1.2e-006 8.9e-003 7.7e-005 1.00e+000 1.664201466e+002 1.664230186e+002 6.7e-010 1.70
68 1.1e-006 8.8e-003 7.0e-005 1.00e+000 1.664203359e+002 1.664229207e+002 6.1e-010 1.72
69 9.8e-007 8.7e-003 6.3e-005 1.00e+000 1.664205062e+002 1.664228326e+002 5.5e-010 1.75
70 8.8e-007 8.6e-003 5.6e-005 1.00e+000 1.664206594e+002 1.664227532e+002 4.9e-010 1.77
71 7.9e-007 8.6e-003 5.1e-005 1.00e+000 1.664207973e+002 1.664226816e+002 4.4e-010 1.80
72 7.1e-007 8.5e-003 4.6e-005 1.00e+000 1.664209213e+002 1.664226172e+002 4.0e-010 1.81
73 6.4e-007 8.4e-003 4.1e-005 1.00e+000 1.664210328e+002 1.664225592e+002 3.6e-010 1.84
74 5.8e-007 8.4e-003 3.7e-005 1.00e+000 1.664211332e+002 1.664225069e+002 3.2e-010 1.86
75 5.2e-007 8.3e-003 3.3e-005 1.00e+000 1.664212235e+002 1.664224598e+002 2.9e-010 1.89
76 4.7e-007 8.3e-003 3.0e-005 1.00e+000 1.664213047e+002 1.664224174e+002 2.6e-010 1.91
77 4.2e-007 8.2e-003 2.7e-005 1.00e+000 1.664213777e+002 1.664223792e+002 2.4e-010 1.94
78 3.8e-007 8.2e-003 2.4e-005 1.00e+000 1.664214434e+002 1.664223448e+002 2.1e-010 1.95
79 3.4e-007 8.1e-003 2.2e-005 1.00e+000 1.664215025e+002 1.664223137e+002 1.9e-010 1.98
80 3.1e-007 8.1e-003 2.0e-005 1.00e+000 1.664215557e+002 1.664222858e+002 1.7e-010 2.00
81 2.8e-007 8.1e-003 1.8e-005 1.00e+000 1.664216036e+002 1.664222606e+002 1.5e-010 2.03
82 2.5e-007 8.0e-003 1.6e-005 1.00e+000 1.664216466e+002 1.664222380e+002 1.4e-010 2.05
83 2.2e-007 8.0e-003 1.4e-005 1.00e+000 1.664216854e+002 1.664222176e+002 1.3e-010 2.06
84 2.0e-007 8.0e-003 1.3e-005 1.00e+000 1.664217202e+002 1.664221992e+002 1.1e-010 2.09
85 1.8e-007 7.9e-003 1.2e-005 1.00e+000 1.664217516e+002 1.664221827e+002 1.0e-010 2.11
86 1.6e-007 7.9e-003 1.0e-005 1.00e+000 1.664217798e+002 1.664221678e+002 9.1e-011 2.14
87 1.5e-007 7.9e-003 9.4e-006 1.00e+000 1.664218052e+002 1.664221544e+002 8.2e-011 2.16
88 1.3e-007 7.9e-003 8.5e-006 1.00e+000 1.664218281e+002 1.664221424e+002 7.4e-011 2.19
89 1.2e-007 7.9e-003 7.6e-006 1.00e+000 1.664218486e+002 1.664221315e+002 6.6e-011 2.20
90 1.1e-007 7.1e-003 6.9e-006 1.00e+000 1.664218672e+002 1.664221216e+002 6.0e-011 2.22
91 9.7e-008 6.4e-003 6.2e-006 1.00e+000 1.664218839e+002 1.664221128e+002 5.4e-011 2.25
92 8.7e-008 5.7e-003 5.6e-006 1.00e+000 1.664218988e+002 1.664221049e+002 4.8e-011 2.27
93 7.8e-008 5.2e-003 5.0e-006 1.00e+000 1.664219123e+002 1.664220978e+002 4.4e-011 2.30
94 7.0e-008 4.6e-003 4.5e-006 1.00e+000 1.664219245e+002 1.664220914e+002 3.9e-011 2.31
95 6.3e-008 4.2e-003 4.1e-006 1.00e+000 1.664219354e+002 1.664220856e+002 3.5e-011 2.34
96 5.7e-008 3.8e-003 3.6e-006 1.00e+000 1.664219452e+002 1.664220804e+002 3.2e-011 2.36
97 5.1e-008 3.4e-003 3.3e-006 1.00e+000 1.664219541e+002 1.664220758e+002 2.9e-011 2.39
98 4.6e-008 3.0e-003 3.0e-006 9.99e-001 1.664219620e+002 1.664220715e+002 2.6e-011 2.41
99 4.2e-008 2.7e-003 2.7e-006 1.00e+000 1.664219692e+002 1.664220678e+002 2.3e-011 2.44
100 3.7e-008 2.5e-003 2.4e-006 1.00e+000 1.664219757e+002 1.664220644e+002 2.1e-011 2.45
101 3.4e-008 2.2e-003 2.2e-006 1.00e+000 1.664219815e+002 1.664220613e+002 1.9e-011 2.47
102 3.0e-008 2.0e-003 1.9e-006 9.99e-001 1.664219867e+002 1.664220585e+002 1.7e-011 2.50
103 2.7e-008 1.8e-003 1.7e-006 9.98e-001 1.664219914e+002 1.664220560e+002 1.5e-011 2.52
104 2.5e-008 1.6e-003 1.6e-006 9.98e-001 1.664219956e+002 1.664220538e+002 1.4e-011 2.55
105 2.2e-008 1.5e-003 1.4e-006 1.00e+000 1.664219994e+002 1.664220518e+002 1.2e-011 2.56
106 2.0e-008 1.3e-003 1.3e-006 9.97e-001 1.664220029e+002 1.664220500e+002 1.1e-011 2.58
107 1.8e-008 1.2e-003 1.1e-006 9.98e-001 1.664220059e+002 1.664220484e+002 1.0e-011 2.61
108 1.6e-008 1.1e-003 1.0e-006 1.00e+000 1.664220087e+002 1.664220469e+002 9.0e-012 2.63
109 1.5e-008 9.5e-004 9.3e-007 1.00e+000 1.664220112e+002 1.664220456e+002 8.1e-012 2.66
110 1.3e-008 8.6e-004 8.3e-007 9.97e-001 1.664220135e+002 1.664220444e+002 7.3e-012 2.67
111 1.2e-008 7.7e-004 7.5e-007 1.00e+000 1.664220155e+002 1.664220433e+002 6.6e-012 2.69
112 1.1e-008 7.0e-004 6.8e-007 1.00e+000 1.664220174e+002 1.664220423e+002 5.9e-012 2.72
113 9.7e-009 6.3e-004 6.1e-007 1.00e+000 1.664220190e+002 1.664220415e+002 5.3e-012 2.73
114 8.7e-009 5.6e-004 5.5e-007 1.01e+000 1.664220205e+002 1.664220406e+002 4.8e-012 2.77
115 7.8e-009 5.1e-004 4.9e-007 9.95e-001 1.664220218e+002 1.664220399e+002 4.3e-012 2.78
116 7.0e-009 4.6e-004 4.4e-007 1.00e+000 1.664220230e+002 1.664220393e+002 3.9e-012 2.80
117 6.3e-009 4.1e-004 4.0e-007 9.99e-001 1.664220241e+002 1.664220387e+002 3.5e-012 2.83
118 5.7e-009 3.7e-004 3.6e-007 1.00e+000 1.664220251e+002 1.664220382e+002 3.2e-012 2.84
119 5.2e-009 3.3e-004 3.2e-007 1.01e+000 1.664220259e+002 1.664220378e+002 2.8e-012 2.86
120 5.2e-009 3.0e-004 2.9e-007 9.86e-001 1.664220267e+002 1.664220374e+002 2.6e-012 2.89
121 9.8e-009 5.7e-006 5.6e-009 7.73e-001 1.664220346e+002 1.664220348e+002 4.4e-013 2.91
Interior-point optimizer terminated. Time: 2.91.
Optimizer terminated. Time: 2.94
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203455e+002 nrm: 2e+001 Viol. con: 4e-007 var: 0e+000
Dual. obj: 1.6642203481e+002 nrm: 1e+003 Viol. con: 0e+000 var: 5e-005
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.97 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.05
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.48e+004 after factor : 1.48e+005
Factor - dense dim. : 0 flops : 2.93e+007
Factor - GP saved nzs : 3.33e+004 GP saved flops : 9.12e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.1e+003 1.2e+005 0.00e+000 -1.226793464e+005 2.000000000e+000 1.0e+000 0.09
1 1.7e+003 2.2e+003 8.9e+004 -9.71e-001 -1.219475222e+005 2.617551325e+000 7.3e-001 0.13
2 8.7e+002 1.2e+003 4.7e+004 -9.59e-001 -1.196332918e+005 4.638035495e+000 3.8e-001 0.16
3 2.9e+002 3.9e+002 1.5e+004 -9.21e-001 -1.106010035e+005 2.015517241e+001 1.3e-001 0.19
4 2.9e+002 3.8e+002 1.5e+004 -7.70e-001 -1.083789356e+005 1.970023149e+003 1.3e-001 0.20
5 1.2e+002 1.6e+002 6.3e+003 -7.60e-001 -8.694904937e+004 6.250544788e+003 5.2e-002 0.22
6 2.6e+001 3.5e+001 1.4e+003 -4.44e-001 -3.282677345e+004 1.266802161e+004 1.2e-002 0.25
7 1.7e+001 2.3e+001 9.1e+002 4.96e-001 -2.402660040e+004 7.077439287e+003 7.5e-003 0.27
8 9.9e+000 1.3e+001 5.3e+002 6.65e-001 -1.498800253e+004 4.322341725e+003 4.4e-003 0.28
9 3.9e+000 5.3e+000 2.1e+002 8.16e-001 -6.094505188e+003 1.959604195e+003 1.8e-003 0.30
10 2.0e+000 2.7e+000 1.1e+002 9.46e-001 -2.997047175e+003 1.192826209e+003 9.1e-004 0.33
11 8.5e-001 1.1e+000 4.6e+001 9.86e-001 -1.153378430e+003 6.290976970e+002 3.9e-004 0.34
12 8.2e-001 1.1e+000 4.5e+001 9.51e-001 -1.143155875e+003 6.042664843e+002 3.8e-004 0.36
13 5.2e-001 7.1e-001 2.9e+001 9.70e-001 -6.817645781e+002 4.348849381e+002 2.4e-004 0.39
14 3.3e-001 4.5e-001 1.8e+001 1.00e+000 -3.517991226e+002 3.500690488e+002 1.5e-004 0.41
15 1.1e-001 1.8e-001 6.1e+000 9.97e-001 -2.317479485e+001 2.158838006e+002 5.2e-005 0.42
16 8.3e-002 1.3e-001 4.6e+000 1.02e+000 2.519198500e+001 2.050142594e+002 3.9e-005 0.45
17 4.1e-002 8.0e-002 2.3e+000 1.02e+000 9.882882516e+001 1.867924562e+002 1.9e-005 0.47
18 1.1e-002 1.7e-001 6.3e-001 1.02e+000 1.490154947e+002 1.727744421e+002 5.3e-006 0.50
19 3.5e-003 2.0e-001 2.0e-001 1.01e+000 1.606163004e+002 1.683314680e+002 1.7e-006 0.52
20 1.3e-003 1.4e-001 7.9e-002 1.01e+000 1.642501142e+002 1.672313421e+002 6.8e-007 0.53
21 8.9e-004 1.0e-001 5.3e-002 9.83e-001 1.649856280e+002 1.669612923e+002 4.5e-007 0.56
22 2.7e-004 1.1e-001 1.7e-002 9.86e-001 1.659722667e+002 1.665936074e+002 1.4e-007 0.58
23 9.3e-005 1.1e-001 5.9e-003 1.01e+000 1.662553702e+002 1.664752691e+002 5.2e-008 0.61
24 3.5e-005 1.0e-001 2.3e-003 1.01e+000 1.663497958e+002 1.664339909e+002 2.0e-008 0.63
25 1.6e-005 8.4e-002 1.1e-003 1.00e+000 1.663811885e+002 1.664201380e+002 9.3e-009 0.66
26 1.5e-005 7.7e-002 9.5e-004 1.00e+000 1.663843952e+002 1.664194627e+002 8.4e-009 0.67
27 1.3e-005 7.0e-002 8.5e-004 1.01e+000 1.663867462e+002 1.664183004e+002 7.6e-009 0.69
28 1.2e-005 6.4e-002 7.7e-004 1.00e+000 1.663889017e+002 1.664172953e+002 6.8e-009 0.72
29 1.1e-005 5.8e-002 6.9e-004 1.00e+000 1.663908327e+002 1.664163827e+002 6.1e-009 0.73
30 9.6e-006 5.3e-002 6.2e-004 1.00e+000 1.663925692e+002 1.664155607e+002 5.5e-009 0.75
31 8.6e-006 4.9e-002 5.6e-004 1.00e+000 1.663941299e+002 1.664148195e+002 5.0e-009 0.78
32 7.8e-006 4.4e-002 5.0e-004 1.00e+000 1.663955331e+002 1.664141514e+002 4.5e-009 0.80
33 7.0e-006 4.1e-002 4.5e-004 1.00e+000 1.663967946e+002 1.664135492e+002 4.0e-009 0.83
34 6.3e-006 3.8e-002 4.1e-004 1.00e+000 1.663979288e+002 1.664130064e+002 3.6e-009 0.84
35 5.7e-006 3.5e-002 3.7e-004 1.00e+000 1.663989486e+002 1.664125172e+002 3.3e-009 0.88
36 5.1e-006 3.2e-002 3.3e-004 1.00e+000 1.663998657e+002 1.664120764e+002 2.9e-009 0.89
37 4.6e-006 3.0e-002 3.0e-004 1.00e+000 1.664006904e+002 1.664116792e+002 2.6e-009 0.92
38 4.1e-006 2.7e-002 2.7e-004 1.00e+000 1.664014320e+002 1.664113213e+002 2.4e-009 0.94
39 3.7e-006 2.5e-002 2.4e-004 1.00e+000 1.664020990e+002 1.664109988e+002 2.1e-009 0.97
40 3.3e-006 2.4e-002 2.2e-004 1.00e+000 1.664026987e+002 1.664107081e+002 1.9e-009 0.98
41 3.0e-006 2.2e-002 1.9e-004 1.00e+000 1.664032381e+002 1.664104462e+002 1.7e-009 1.00
42 2.7e-006 2.1e-002 1.8e-004 1.00e+000 1.664037232e+002 1.664102103e+002 1.6e-009 1.03
43 2.4e-006 1.9e-002 1.6e-004 1.00e+000 1.664041596e+002 1.664099977e+002 1.4e-009 1.05
44 2.2e-006 1.8e-002 1.4e-004 1.00e+000 1.664045521e+002 1.664098062e+002 1.3e-009 1.08
45 2.0e-006 1.7e-002 1.3e-004 1.00e+000 1.664049053e+002 1.664096338e+002 1.1e-009 1.09
46 1.8e-006 1.6e-002 1.2e-004 1.00e+000 1.664052230e+002 1.664094786e+002 1.0e-009 1.11
47 1.6e-006 1.5e-002 1.0e-004 1.00e+000 1.664055088e+002 1.664093387e+002 9.2e-010 1.14
48 1.4e-006 1.5e-002 9.3e-005 1.00e+000 1.664057660e+002 1.664092128e+002 8.3e-010 1.16
49 1.3e-006 1.4e-002 8.4e-005 1.00e+000 1.664059974e+002 1.664090995e+002 7.5e-010 1.19
50 1.2e-006 1.3e-002 7.6e-005 1.00e+000 1.664062055e+002 1.664089974e+002 6.7e-010 1.20
51 1.0e-006 1.3e-002 6.8e-005 1.00e+000 1.664063928e+002 1.664089054e+002 6.0e-010 1.22
52 9.4e-007 1.2e-002 6.1e-005 1.00e+000 1.664065613e+002 1.664088227e+002 5.4e-010 1.25
53 8.5e-007 1.2e-002 5.5e-005 1.00e+000 1.664067129e+002 1.664087481e+002 4.9e-010 1.27
54 7.6e-007 1.1e-002 5.0e-005 1.00e+000 1.664068493e+002 1.664086810e+002 4.4e-010 1.28
55 6.9e-007 1.1e-002 4.5e-005 1.00e+000 1.664069720e+002 1.664086205e+002 4.0e-010 1.31
56 6.2e-007 1.1e-002 4.0e-005 1.00e+000 1.664070824e+002 1.664085660e+002 3.6e-010 1.33
57 5.6e-007 1.0e-002 3.6e-005 1.00e+000 1.664071817e+002 1.664085170e+002 3.2e-010 1.34
58 5.0e-007 1.0e-002 3.3e-005 1.00e+000 1.664072710e+002 1.664084727e+002 2.9e-010 1.38
59 4.5e-007 9.9e-003 2.9e-005 1.00e+000 1.664073514e+002 1.664084329e+002 2.6e-010 1.39
60 4.1e-007 9.7e-003 2.6e-005 1.00e+000 1.664074236e+002 1.664083970e+002 2.3e-010 1.42
61 3.7e-007 9.5e-003 2.4e-005 1.00e+000 1.664074886e+002 1.664083647e+002 2.1e-010 1.44
62 3.3e-007 9.3e-003 2.1e-005 1.00e+000 1.664075471e+002 1.664083356e+002 1.9e-010 1.47
63 3.0e-007 9.2e-003 1.9e-005 1.00e+000 1.664075997e+002 1.664083093e+002 1.7e-010 1.48
64 2.7e-007 9.0e-003 1.7e-005 1.00e+000 1.664076471e+002 1.664082857e+002 1.5e-010 1.52
65 2.4e-007 8.9e-003 1.6e-005 1.00e+000 1.664076896e+002 1.664082644e+002 1.4e-010 1.53
66 2.2e-007 8.8e-003 1.4e-005 1.00e+000 1.664077280e+002 1.664082452e+002 1.2e-010 1.55
67 1.9e-007 8.7e-003 1.3e-005 1.00e+000 1.664077624e+002 1.664082280e+002 1.1e-010 1.58
68 1.7e-007 8.6e-003 1.1e-005 1.00e+000 1.664077935e+002 1.664082125e+002 1.0e-010 1.59
69 1.6e-007 8.5e-003 1.0e-005 1.00e+000 1.664078214e+002 1.664081985e+002 9.1e-011 1.63
70 1.4e-007 8.4e-003 9.2e-006 1.00e+000 1.664078465e+002 1.664081859e+002 8.2e-011 1.64
71 1.3e-007 8.3e-003 8.3e-006 1.00e+000 1.664078691e+002 1.664081745e+002 7.4e-011 1.67
72 1.1e-007 8.3e-003 7.4e-006 1.00e+000 1.664078895e+002 1.664081644e+002 6.6e-011 1.69
73 1.0e-007 8.2e-003 6.7e-006 1.00e+000 1.664079078e+002 1.664081552e+002 6.0e-011 1.70
74 9.3e-008 8.1e-003 6.0e-006 1.00e+000 1.664079242e+002 1.664081469e+002 5.4e-011 1.73
75 8.4e-008 8.1e-003 5.4e-006 1.00e+000 1.664079391e+002 1.664081395e+002 4.8e-011 1.75
76 7.5e-008 8.0e-003 4.9e-006 9.99e-001 1.664079524e+002 1.664081327e+002 4.3e-011 1.78
77 6.8e-008 8.0e-003 4.4e-006 1.00e+000 1.664079644e+002 1.664081267e+002 3.9e-011 1.80
78 6.1e-008 8.0e-003 4.0e-006 9.99e-001 1.664079752e+002 1.664081213e+002 3.5e-011 1.83
79 5.5e-008 7.9e-003 3.6e-006 1.00e+000 1.664079849e+002 1.664081164e+002 3.2e-011 1.84
80 4.9e-008 7.9e-003 3.2e-006 1.00e+000 1.664079937e+002 1.664081120e+002 2.9e-011 1.86
81 4.4e-008 7.9e-003 2.9e-006 1.00e+000 1.664080016e+002 1.664081081e+002 2.6e-011 1.89
82 4.0e-008 7.8e-003 2.6e-006 1.00e+000 1.664080087e+002 1.664081045e+002 2.3e-011 1.91
83 3.6e-008 7.8e-003 2.3e-006 1.00e+000 1.664080151e+002 1.664081012e+002 2.1e-011 1.92
84 3.2e-008 7.8e-003 2.1e-006 1.00e+000 1.664080208e+002 1.664080983e+002 1.9e-011 1.95
85 2.9e-008 7.8e-003 1.9e-006 1.00e+000 1.664080260e+002 1.664080957e+002 1.7e-011 1.97
86 2.6e-008 7.8e-003 1.7e-006 9.97e-001 1.664080306e+002 1.664080934e+002 1.5e-011 2.00
87 2.4e-008 7.7e-003 1.5e-006 1.00e+000 1.664080348e+002 1.664080913e+002 1.4e-011 2.02
88 2.1e-008 7.7e-003 1.4e-006 1.00e+000 1.664080385e+002 1.664080894e+002 1.2e-011 2.03
89 1.9e-008 7.7e-003 1.2e-006 9.95e-001 1.664080419e+002 1.664080877e+002 1.1e-011 2.06
90 1.7e-008 7.7e-003 1.1e-006 1.00e+000 1.664080450e+002 1.664080862e+002 9.9e-012 2.08
91 1.6e-008 7.7e-003 1.0e-006 1.00e+000 1.664080477e+002 1.664080848e+002 8.9e-012 2.09
92 1.4e-008 6.9e-003 9.0e-007 1.01e+000 1.664080503e+002 1.664080835e+002 8.1e-012 2.13
93 1.3e-008 6.2e-003 8.1e-007 9.97e-001 1.664080525e+002 1.664080824e+002 7.3e-012 2.14
94 1.1e-008 5.6e-003 7.3e-007 9.99e-001 1.664080545e+002 1.664080814e+002 6.5e-012 2.16
95 1.0e-008 5.0e-003 6.6e-007 1.01e+000 1.664080563e+002 1.664080805e+002 5.9e-012 2.19
96 9.2e-009 4.5e-003 5.9e-007 1.01e+000 1.664080580e+002 1.664080796e+002 5.3e-012 2.20
97 8.3e-009 4.1e-003 5.3e-007 1.00e+000 1.664080594e+002 1.664080789e+002 4.8e-012 2.23
98 7.4e-009 3.7e-003 4.8e-007 1.00e+000 1.664080607e+002 1.664080783e+002 4.3e-012 2.25
99 6.8e-009 3.3e-003 4.3e-007 1.00e+000 1.664080619e+002 1.664080777e+002 3.9e-012 2.27
100 6.1e-009 3.0e-003 3.9e-007 9.99e-001 1.664080629e+002 1.664080771e+002 3.5e-012 2.30
101 5.5e-009 2.7e-003 3.5e-007 9.94e-001 1.664080639e+002 1.664080767e+002 3.2e-012 2.31
102 4.9e-009 2.4e-003 3.2e-007 9.96e-001 1.664080647e+002 1.664080763e+002 2.8e-012 2.34
103 5.0e-009 2.2e-003 2.8e-007 1.03e+000 1.664080656e+002 1.664080757e+002 2.6e-012 2.36
104 4.4e-009 2.0e-003 2.6e-007 1.00e+000 1.664080663e+002 1.664080753e+002 2.3e-012 2.38
105 4.1e-009 1.8e-003 2.3e-007 9.88e-001 1.664080669e+002 1.664080750e+002 2.1e-012 2.41
106 3.6e-009 1.6e-003 2.1e-007 9.88e-001 1.664080675e+002 1.664080747e+002 1.9e-012 2.42
107 3.3e-009 1.4e-003 1.9e-007 1.00e+000 1.664080680e+002 1.664080745e+002 1.7e-012 2.45
108 2.9e-009 1.3e-003 1.7e-007 9.97e-001 1.664080684e+002 1.664080743e+002 1.5e-012 2.47
109 2.6e-009 1.2e-003 1.5e-007 1.00e+000 1.664080688e+002 1.664080741e+002 1.4e-012 2.50
110 2.4e-009 1.0e-003 1.4e-007 1.00e+000 1.664080692e+002 1.664080739e+002 1.2e-012 2.52
111 2.1e-009 9.3e-004 1.2e-007 9.98e-001 1.664080695e+002 1.664080738e+002 1.1e-012 2.55
112 1.9e-009 8.4e-004 1.1e-007 9.89e-001 1.664080698e+002 1.664080736e+002 1.0e-012 2.56
113 1.7e-009 7.6e-004 9.9e-008 1.01e+000 1.664080701e+002 1.664080735e+002 9.1e-013 2.59
Interior-point optimizer terminated. Time: 2.59.
Optimizer terminated. Time: 2.61
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807005e+002 nrm: 2e+001 Viol. con: 2e-008 var: 0e+000
Dual. obj: 1.6640807349e+002 nrm: 1e+003 Viol. con: 0e+000 var: 5e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.63 seconds.
Solving took 9 GP solves and 48.3 seconds.
Solves with these variables bounded:
value near lower bound: Mission.CruiseAlt
value near upper bound: Mission.Aircraft.HorizontalTail.WingBox.M_{r_{out}}, Mission.Aircraft.Engine.Thrust.\alpha_{max}, Mission.Aircraft.Wing.WingNoStruct.A_{tri}, Mission.TotalTime, Mission.Aircraft.LandingGear.d_{nacelle}, Mission.T_{t_{4.1_{max-Cruise}}}
Checking for relaxed constants...
Solution check warning: Primal solution computed cost did not match solver-returned cost: 1.4957417539192265e+110 vs 1.49570075379e+110
GP iteration 0 has relaxed constants
Cost
----
1.496e+110
Free Variables
--------------
| Mission.Aircraft.Engine.Turbine.Relax
C_{p_{t2}} : 2.251 Cp Value for Combustion Products in LP Turbine
| Mission.Aircraft.Fuselage.Relax
l_{nose} : 1.042 Nose length
n_{pass} : [ 2.86 ] Number of passengers
| Mission.Aircraft.Relax
f_{L_{total/wing}} : 1.656 Total lift as a percentage of wing lift
| Mission.Aircraft.Wing.WingNoStruct.Relax
\tan(\Lambda) : 1.133 Tangent of quarter-chord sweep angle
| Mission.FlightState.Atmosphere.Relax
L_{atm} : [ 1.77 1 1 1 1 ] Temperature lapse rate
T_{sl} : [ 1 1 1.25 1 1 ] Temperature at sea level
| Mission.Relax
R_{req} : 2.362 Required Cruise Range
GP iteration 1 has relaxed constants
Cost
----
7.486e+74
Free Variables
--------------
| Mission.Aircraft.Engine.Combustor.Relax
hold_{4a} : 1.093 1+(gamma-1)/2 * M_4a**2
| Mission.Aircraft.Fuselage.Relax
n_{pass} : [ 1.03 ] Number of passengers
| Mission.Aircraft.LandingGear.Relax
h_{hold} : 1.006 Hold height
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682932]
Total Aircraft Weight Percent Diff: [-21.48045673]
Engine Weight Percent Diff: -56.277768457037375
Fuselage Weight Percent Diff: -0.869702823500253
Payload Weight Percent Diff: [-0.04003553]
VT Weight Percent Diff: -8.6071426906855
HT Weight Percent Diff: -93.23323850050295
Wing Weight Percent Diff: 8.2676262686229
WING DIFFERENCES
Wing Span Percent Diff: -0.029997852700332565
Wing Area Percent Diff: 32.89994603486249
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.489192479635626
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022229397058116
VT Area Percent Diff: -60.386736768091644
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54744239]
L/D Percent Diff: [24.01023011]
Nacelle Cd Percent Diff: [-94.27639763]
HT Cd Percent Diff: [-80.76936069] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00286276] dimensionless
Wing Cd percent Diff: [-14.22940233]
Induced Drag Cd Percent Diff: [1.21899649]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57037122]
FUSELAGE DIFFERENCES
Weight of HB material: -38.359021299529935
Weight of VB material: 87.82995488726316
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260575]
Mission1
========
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission1.Aircraft.Wing.WingBox.N_{lift} = 3
Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission1.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission1.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*Mission1.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission1.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission1.Aircraft.Wing.WingBox.r_{w/c} = Mission1.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission1.Aircraft.Fuselage.N_{lift} = Mission1.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission1.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission1.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission1.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission1.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 471
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 869
Optimizer - Cones : 0
Optimizer - Scalar variables : 3451 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.48e+004 after factor : 1.46e+005
Factor - dense dim. : 0 flops : 2.87e+007
Factor - GP saved nzs : 3.32e+004 GP saved flops : 9.06e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.224940108e+005 2.000000000e+000 1.0e+000 0.06
1 1.6e+003 2.1e+003 8.4e+004 -9.71e-001 -1.216116943e+005 2.766603376e+000 6.9e-001 0.08
2 8.2e+002 1.1e+003 4.4e+004 -9.57e-001 -1.191567559e+005 5.074629256e+000 3.6e-001 0.11
3 2.9e+002 3.9e+002 1.6e+004 -9.16e-001 -1.104285966e+005 2.156321042e+001 1.3e-001 0.13
4 2.9e+002 3.9e+002 1.6e+004 -7.68e-001 -1.084694817e+005 1.724066982e+003 1.3e-001 0.16
5 1.1e+002 1.5e+002 6.0e+003 -7.59e-001 -8.491241754e+004 6.645584441e+003 4.9e-002 0.17
6 3.8e+001 5.0e+001 2.0e+003 -4.14e-001 -4.569721752e+004 1.064008602e+004 1.7e-002 0.20
7 2.0e+001 2.7e+001 1.1e+003 2.50e-001 -2.851392658e+004 6.956951010e+003 9.0e-003 0.22
8 9.4e+000 1.2e+001 5.0e+002 5.70e-001 -1.400586088e+004 4.219068590e+003 4.2e-003 0.25
9 4.7e+000 6.3e+000 2.6e+002 8.27e-001 -7.040645343e+003 2.497942694e+003 2.1e-003 0.27
10 1.4e+000 1.9e+000 7.8e+001 9.33e-001 -2.011591950e+003 9.403827672e+002 6.4e-004 0.28
11 6.4e-001 8.5e-001 3.5e+001 9.93e-001 -6.796564304e+002 6.596896968e+002 2.9e-004 0.31
12 4.8e-001 6.4e-001 2.6e+001 9.96e-001 -4.512245086e+002 5.573058292e+002 2.2e-004 0.33
13 3.5e-001 7.3e-001 1.9e+001 9.80e-001 -2.681666129e+002 4.735665754e+002 1.6e-004 0.34
14 1.7e-001 3.6e-001 9.5e+000 9.96e-001 -1.492700781e+000 3.632401846e+002 7.9e-005 0.38
15 5.7e-002 1.5e-001 3.2e+000 9.94e-001 1.664296823e+002 2.900324402e+002 2.7e-005 0.39
16 3.3e-002 1.3e-001 1.9e+000 1.00e+000 2.025936912e+002 2.744117059e+002 1.6e-005 0.41
17 5.1e-003 1.9e-001 3.2e-001 1.00e+000 2.450141520e+002 2.572047198e+002 2.8e-006 0.44
18 1.5e-003 1.3e-001 9.4e-002 1.00e+000 2.510878635e+002 2.546831567e+002 8.5e-007 0.45
19 4.8e-004 1.1e-001 3.1e-002 1.00e+000 2.528341318e+002 2.540184841e+002 2.8e-007 0.48
20 2.1e-004 8.8e-002 1.3e-002 1.00e+000 2.533178434e+002 2.538309261e+002 1.2e-007 0.50
21 1.9e-004 8.0e-002 1.2e-002 1.00e+000 2.533559246e+002 2.538177109e+002 1.1e-007 0.52
22 1.7e-004 7.3e-002 1.1e-002 1.00e+000 2.533891273e+002 2.538047106e+002 9.9e-008 0.55
23 1.5e-004 6.6e-002 9.8e-003 1.00e+000 2.534190446e+002 2.537930533e+002 9.0e-008 0.56
24 1.4e-004 6.0e-002 8.8e-003 1.00e+000 2.534459451e+002 2.537825390e+002 8.1e-008 0.59
25 1.2e-004 5.5e-002 7.9e-003 1.00e+000 2.534701386e+002 2.537730615e+002 7.3e-008 0.61
26 1.1e-004 5.0e-002 7.1e-003 1.00e+000 2.534918966e+002 2.537645177e+002 6.5e-008 0.64
27 1.0e-004 4.6e-002 6.4e-003 1.00e+000 2.535114665e+002 2.537568176e+002 5.9e-008 0.66
28 9.0e-005 4.2e-002 5.8e-003 1.00e+000 2.535290693e+002 2.537498787e+002 5.3e-008 0.67
29 8.1e-005 3.9e-002 5.2e-003 1.00e+000 2.535449033e+002 2.537436266e+002 4.8e-008 0.70
30 7.3e-005 3.6e-002 4.7e-003 1.00e+000 2.535591471e+002 2.537379938e+002 4.3e-008 0.72
31 6.6e-005 3.3e-002 4.2e-003 1.00e+000 2.535719607e+002 2.537329193e+002 3.9e-008 0.75
32 5.9e-005 3.0e-002 3.8e-003 1.00e+000 2.535834881e+002 2.537283480e+002 3.5e-008 0.77
33 5.3e-005 2.8e-002 3.4e-003 1.00e+000 2.535938586e+002 2.537242304e+002 3.1e-008 0.80
34 4.8e-005 2.6e-002 3.1e-003 1.00e+000 2.536031886e+002 2.537205215e+002 2.8e-008 0.81
35 4.3e-005 2.4e-002 2.8e-003 1.00e+000 2.536115826e+002 2.537171809e+002 2.5e-008 0.84
36 3.9e-005 2.2e-002 2.5e-003 1.00e+000 2.536191347e+002 2.537141721e+002 2.3e-008 0.86
37 3.5e-005 2.1e-002 2.2e-003 1.00e+000 2.536259295e+002 2.537114623e+002 2.0e-008 0.89
38 3.1e-005 2.0e-002 2.0e-003 1.00e+000 2.536320430e+002 2.537090219e+002 1.8e-008 0.91
39 2.8e-005 1.8e-002 1.8e-003 1.00e+000 2.536375436e+002 2.537068241e+002 1.7e-008 0.94
40 2.5e-005 1.7e-002 1.6e-003 1.00e+000 2.536424928e+002 2.537048450e+002 1.5e-008 0.95
41 2.3e-005 1.6e-002 1.5e-003 1.00e+000 2.536469461e+002 2.537030627e+002 1.3e-008 0.97
42 2.1e-005 1.6e-002 1.3e-003 1.00e+000 2.536509531e+002 2.537014579e+002 1.2e-008 1.00
43 1.9e-005 1.5e-002 1.2e-003 1.00e+000 2.536545587e+002 2.537000129e+002 1.1e-008 1.02
44 1.7e-005 1.4e-002 1.1e-003 1.00e+000 2.536578031e+002 2.536987118e+002 9.8e-009 1.05
45 1.5e-005 1.3e-002 9.6e-004 1.00e+000 2.536607226e+002 2.536975404e+002 8.8e-009 1.06
46 1.3e-005 1.3e-002 8.7e-004 1.00e+000 2.536633497e+002 2.536964857e+002 7.9e-009 1.09
47 1.2e-005 1.2e-002 7.8e-004 1.00e+000 2.536657138e+002 2.536955361e+002 7.1e-009 1.11
48 1.1e-005 1.2e-002 7.0e-004 1.00e+000 2.536678412e+002 2.536946813e+002 6.4e-009 1.13
49 9.8e-006 1.1e-002 6.3e-004 1.00e+000 2.536697556e+002 2.536939118e+002 5.8e-009 1.16
50 8.9e-006 1.1e-002 5.7e-004 1.00e+000 2.536714784e+002 2.536932190e+002 5.2e-009 1.17
51 8.0e-006 1.1e-002 5.1e-004 1.00e+000 2.536730288e+002 2.536925954e+002 4.7e-009 1.20
52 7.2e-006 1.0e-002 4.6e-004 1.00e+000 2.536744241e+002 2.536920340e+002 4.2e-009 1.22
53 6.5e-006 1.0e-002 4.1e-004 1.00e+000 2.536756797e+002 2.536915286e+002 3.8e-009 1.23
54 5.8e-006 9.8e-003 3.7e-004 1.00e+000 2.536768097e+002 2.536910737e+002 3.4e-009 1.27
55 5.2e-006 9.6e-003 3.4e-004 1.00e+000 2.536778266e+002 2.536906643e+002 3.1e-009 1.28
56 4.7e-006 9.4e-003 3.0e-004 1.00e+000 2.536787417e+002 2.536902957e+002 2.8e-009 1.31
57 4.2e-006 9.2e-003 2.7e-004 1.00e+000 2.536795653e+002 2.536899639e+002 2.5e-009 1.33
58 3.8e-006 9.0e-003 2.4e-004 1.00e+000 2.536803064e+002 2.536896652e+002 2.2e-009 1.36
59 3.4e-006 8.9e-003 2.2e-004 1.00e+000 2.536809734e+002 2.536893963e+002 2.0e-009 1.38
60 3.1e-006 8.8e-003 2.0e-004 1.00e+000 2.536815737e+002 2.536891543e+002 1.8e-009 1.41
61 1.2e-006 3.4e-003 7.7e-005 1.00e+000 2.536848864e+002 2.536878176e+002 7.0e-010 1.42
62 1.1e-006 3.0e-003 6.9e-005 1.00e+000 2.536850957e+002 2.536877339e+002 6.3e-010 1.44
63 3.8e-007 1.1e-003 2.5e-005 1.00e+000 2.536863015e+002 2.536872470e+002 2.3e-010 1.47
64 3.5e-007 9.8e-004 2.2e-005 1.00e+000 2.536863689e+002 2.536872198e+002 2.0e-010 1.48
65 3.1e-007 8.8e-004 2.0e-005 1.00e+000 2.536864295e+002 2.536871953e+002 1.8e-010 1.50
66 2.8e-007 7.9e-004 1.8e-005 1.00e+000 2.536864840e+002 2.536871733e+002 1.7e-010 1.53
67 2.5e-007 7.1e-004 1.6e-005 1.00e+000 2.536865331e+002 2.536871534e+002 1.5e-010 1.55
68 2.3e-007 6.4e-004 1.5e-005 1.00e+000 2.536865772e+002 2.536871356e+002 1.3e-010 1.58
69 2.0e-007 5.8e-004 1.3e-005 1.00e+000 2.536866170e+002 2.536871195e+002 1.2e-010 1.59
70 1.8e-007 5.2e-004 1.2e-005 1.00e+000 2.536866528e+002 2.536871050e+002 1.1e-010 1.61
71 1.7e-007 4.7e-004 1.1e-005 1.00e+000 2.536866850e+002 2.536870920e+002 9.8e-011 1.64
72 1.5e-007 4.2e-004 9.6e-006 1.00e+000 2.536867140e+002 2.536870803e+002 8.8e-011 1.66
73 1.3e-007 3.8e-004 8.6e-006 1.00e+000 2.536867400e+002 2.536870697e+002 7.9e-011 1.67
74 1.2e-007 3.4e-004 7.8e-006 1.00e+000 2.536867635e+002 2.536870602e+002 7.1e-011 1.70
75 1.1e-007 3.1e-004 7.0e-006 1.00e+000 2.536867846e+002 2.536870517e+002 6.4e-011 1.72
76 9.8e-008 2.8e-004 6.3e-006 1.00e+000 2.536868036e+002 2.536870440e+002 5.8e-011 1.75
77 8.8e-008 2.5e-004 5.7e-006 1.00e+000 2.536868207e+002 2.536870371e+002 5.2e-011 1.77
78 7.9e-008 2.2e-004 5.1e-006 1.00e+000 2.536868361e+002 2.536870308e+002 4.7e-011 1.78
79 7.1e-008 2.0e-004 4.6e-006 1.00e+000 2.536868500e+002 2.536870252e+002 4.2e-011 1.81
80 6.4e-008 1.8e-004 4.1e-006 1.00e+000 2.536868625e+002 2.536870202e+002 3.8e-011 1.83
81 5.8e-008 1.6e-004 3.7e-006 1.00e+000 2.536868737e+002 2.536870156e+002 3.4e-011 1.86
82 5.2e-008 1.5e-004 3.3e-006 1.00e+000 2.536868838e+002 2.536870115e+002 3.1e-011 1.88
83 4.7e-008 1.3e-004 3.0e-006 1.00e+000 2.536868929e+002 2.536870078e+002 2.8e-011 1.89
84 4.2e-008 1.2e-004 2.7e-006 1.00e+000 2.536869010e+002 2.536870045e+002 2.5e-011 1.92
85 3.8e-008 1.1e-004 2.4e-006 1.00e+000 2.536869084e+002 2.536870015e+002 2.2e-011 1.94
86 3.4e-008 9.7e-005 2.2e-006 1.00e+000 2.536869150e+002 2.536869988e+002 2.0e-011 1.95
87 3.1e-008 8.7e-005 2.0e-006 1.00e+000 2.536869210e+002 2.536869964e+002 1.8e-011 1.98
88 2.8e-008 7.8e-005 1.8e-006 9.99e-001 2.536869264e+002 2.536869943e+002 1.6e-011 2.00
89 2.5e-008 7.0e-005 1.6e-006 1.00e+000 2.536869312e+002 2.536869923e+002 1.5e-011 2.02
90 2.2e-008 6.3e-005 1.4e-006 1.00e+000 2.536869355e+002 2.536869905e+002 1.3e-011 2.05
91 2.0e-008 5.7e-005 1.3e-006 1.00e+000 2.536869394e+002 2.536869889e+002 1.2e-011 2.06
92 1.8e-008 5.1e-005 1.2e-006 1.00e+000 2.536869430e+002 2.536869875e+002 1.1e-011 2.09
93 1.6e-008 4.6e-005 1.0e-006 1.00e+000 2.536869461e+002 2.536869862e+002 9.6e-012 2.11
94 1.5e-008 4.2e-005 9.4e-007 1.00e+000 2.536869490e+002 2.536869851e+002 8.6e-012 2.13
95 1.3e-008 3.7e-005 8.5e-007 1.00e+000 2.536869516e+002 2.536869840e+002 7.8e-012 2.16
96 1.2e-008 3.4e-005 7.6e-007 9.99e-001 2.536869539e+002 2.536869831e+002 7.0e-012 2.17
97 1.1e-008 3.0e-005 6.9e-007 1.00e+000 2.536869559e+002 2.536869822e+002 6.3e-012 2.20
Interior-point optimizer terminated. Time: 2.20.
Optimizer terminated. Time: 2.22
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695594e+002 nrm: 4e+001 Viol. con: 2e-007 var: 0e+000
Dual. obj: 2.5368698224e+002 nrm: 8e+002 Viol. con: 0e+000 var: 2e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.25 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 471
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.05
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 870
Optimizer - Cones : 0
Optimizer - Scalar variables : 3453 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.06 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.05
Factor - nonzeros before factor : 1.48e+004 after factor : 1.47e+005
Factor - dense dim. : 0 flops : 2.89e+007
Factor - GP saved nzs : 3.32e+004 GP saved flops : 9.06e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.221561281e+005 2.000000000e+000 1.0e+000 0.11
1 1.6e+003 2.1e+003 8.5e+004 -9.71e-001 -1.212978652e+005 2.752982256e+000 6.9e-001 0.14
2 7.8e+002 1.0e+003 4.2e+004 -9.57e-001 -1.185504083e+005 5.334628806e+000 3.4e-001 0.19
3 2.9e+002 3.9e+002 1.6e+004 -9.11e-001 -1.101594684e+005 2.219951840e+001 1.3e-001 0.20
4 2.9e+002 3.9e+002 1.6e+004 -7.68e-001 -1.082604777e+005 1.672822298e+003 1.3e-001 0.23
5 1.2e+002 1.6e+002 6.6e+003 -7.60e-001 -8.744006606e+004 6.083271602e+003 5.4e-002 0.27
6 3.9e+001 5.2e+001 2.1e+003 -4.56e-001 -4.674489084e+004 1.085261406e+004 1.7e-002 0.28
7 2.3e+001 3.0e+001 1.2e+003 2.29e-001 -3.111491303e+004 7.216069316e+003 1.0e-002 0.31
8 9.3e+000 1.2e+001 5.0e+002 5.24e-001 -1.392423929e+004 3.980816117e+003 4.1e-003 0.34
9 6.0e+000 7.9e+000 3.2e+002 8.27e-001 -9.002854354e+003 2.812640292e+003 2.7e-003 0.36
10 2.1e+000 2.8e+000 1.1e+002 9.04e-001 -3.054862730e+003 1.183594141e+003 9.3e-004 0.39
11 1.4e+000 1.9e+000 7.7e+001 9.76e-001 -1.995669605e+003 9.332734266e+002 6.4e-004 0.41
12 7.4e-001 1.0e+000 4.0e+001 9.81e-001 -9.691540617e+002 5.758460567e+002 3.3e-004 0.44
13 4.2e-001 7.1e-001 2.3e+001 9.89e-001 -4.601097558e+002 4.178441756e+002 1.9e-004 0.47
14 1.6e-001 2.8e-001 8.7e+000 9.97e-001 -6.497666230e+001 2.680748454e+002 7.3e-005 0.48
15 8.8e-002 1.6e-001 4.9e+000 1.00e+000 3.934544604e+001 2.264489933e+002 4.1e-005 0.53
16 3.1e-002 1.2e-001 1.7e+000 1.00e+000 1.252794418e+002 1.912670963e+002 1.5e-005 0.56
17 1.1e-002 9.8e-002 6.5e-001 1.01e+000 1.548216650e+002 1.794829027e+002 5.6e-006 0.59
18 6.0e-003 7.7e-002 3.5e-001 1.01e+000 1.628975305e+002 1.761823713e+002 3.0e-006 0.63
19 1.1e-003 1.5e-001 6.7e-002 1.01e+000 1.705549197e+002 1.731199396e+002 6.0e-007 0.64
20 4.2e-004 1.1e-001 2.6e-002 1.01e+000 1.716972368e+002 1.726832676e+002 2.4e-007 0.67
21 1.8e-004 9.1e-002 1.1e-002 1.00e+000 1.721012347e+002 1.725269235e+002 1.0e-007 0.69
22 1.0e-004 7.2e-002 6.3e-003 1.00e+000 1.722344270e+002 1.724717684e+002 5.7e-008 0.72
23 9.0e-005 6.5e-002 5.6e-003 1.00e+000 1.722521544e+002 1.724657980e+002 5.1e-008 0.73
24 8.1e-005 6.0e-002 5.1e-003 1.00e+000 1.722674355e+002 1.724597078e+002 4.6e-008 0.77
25 7.3e-005 5.5e-002 4.6e-003 1.00e+000 1.722812819e+002 1.724543221e+002 4.2e-008 0.80
26 6.6e-005 5.0e-002 4.1e-003 1.00e+000 1.722937136e+002 1.724494457e+002 3.7e-008 0.83
27 5.9e-005 4.6e-002 3.7e-003 1.00e+000 1.723048900e+002 1.724450453e+002 3.4e-008 0.86
28 5.3e-005 4.2e-002 3.3e-003 1.00e+000 1.723149329e+002 1.724410697e+002 3.0e-008 0.89
29 4.8e-005 3.9e-002 3.0e-003 1.00e+000 1.723239572e+002 1.724374779e+002 2.7e-008 0.91
30 4.3e-005 3.6e-002 2.7e-003 1.00e+000 1.723320657e+002 1.724342323e+002 2.5e-008 0.94
31 3.9e-005 3.3e-002 2.4e-003 1.00e+000 1.723393515e+002 1.724312996e+002 2.2e-008 0.95
32 3.5e-005 3.0e-002 2.2e-003 1.00e+000 1.723458983e+002 1.724286503e+002 2.0e-008 0.97
33 3.1e-005 2.8e-002 2.0e-003 1.00e+000 1.723517817e+002 1.724262574e+002 1.8e-008 1.00
34 2.8e-005 2.6e-002 1.8e-003 1.00e+000 1.723570697e+002 1.724240969e+002 1.6e-008 1.03
35 2.5e-005 2.5e-002 1.6e-003 1.00e+000 1.723618230e+002 1.724221468e+002 1.5e-008 1.05
36 2.3e-005 2.3e-002 1.4e-003 1.00e+000 1.723660963e+002 1.724203871e+002 1.3e-008 1.08
37 2.1e-005 2.1e-002 1.3e-003 1.00e+000 1.723699383e+002 1.724187996e+002 1.2e-008 1.11
38 1.9e-005 2.0e-002 1.2e-003 1.00e+000 1.723733929e+002 1.724173678e+002 1.1e-008 1.13
39 1.7e-005 1.9e-002 1.0e-003 1.00e+000 1.723764994e+002 1.724160766e+002 9.5e-009 1.16
40 1.5e-005 1.8e-002 9.4e-004 1.00e+000 1.723792931e+002 1.724149123e+002 8.6e-009 1.17
41 1.4e-005 1.7e-002 8.5e-004 1.00e+000 1.723818055e+002 1.724138628e+002 7.7e-009 1.20
42 1.2e-005 1.6e-002 7.6e-004 1.00e+000 1.723840652e+002 1.724129167e+002 6.9e-009 1.22
43 1.1e-005 1.5e-002 6.9e-004 1.00e+000 1.723860977e+002 1.724120639e+002 6.2e-009 1.25
44 9.9e-006 1.4e-002 6.2e-004 1.00e+000 1.723879258e+002 1.724112954e+002 5.6e-009 1.27
45 8.9e-006 1.4e-002 5.6e-004 1.00e+000 1.723895702e+002 1.724106028e+002 5.1e-009 1.30
46 8.0e-006 1.3e-002 5.0e-004 1.00e+000 1.723910494e+002 1.724099788e+002 4.6e-009 1.31
47 7.2e-006 1.3e-002 4.5e-004 1.00e+000 1.723923801e+002 1.724094166e+002 4.1e-009 1.34
48 6.5e-006 1.2e-002 4.1e-004 1.00e+000 1.723935772e+002 1.724089100e+002 3.7e-009 1.36
49 5.8e-006 1.2e-002 3.6e-004 1.00e+000 1.723946541e+002 1.724084537e+002 3.3e-009 1.39
50 5.2e-006 1.1e-002 3.3e-004 1.00e+000 1.723956230e+002 1.724080427e+002 3.0e-009 1.41
51 4.7e-006 1.1e-002 3.0e-004 1.00e+000 1.723964947e+002 1.724076724e+002 2.7e-009 1.44
52 4.2e-006 1.1e-002 2.7e-004 1.00e+000 1.723972790e+002 1.724073389e+002 2.4e-009 1.45
53 3.8e-006 1.0e-002 2.4e-004 1.00e+000 1.723979846e+002 1.724070386e+002 2.2e-009 1.49
54 3.4e-006 1.0e-002 2.2e-004 1.00e+000 1.723986195e+002 1.724067681e+002 2.0e-009 1.50
55 3.1e-006 9.9e-003 1.9e-004 1.00e+000 1.723991907e+002 1.724065245e+002 1.8e-009 1.53
56 2.8e-006 9.7e-003 1.7e-004 1.00e+000 1.723997047e+002 1.724063051e+002 1.6e-009 1.55
57 2.5e-006 9.5e-003 1.6e-004 1.00e+000 1.724001672e+002 1.724061076e+002 1.4e-009 1.58
58 2.3e-006 9.3e-003 1.4e-004 1.00e+000 1.724005833e+002 1.724059297e+002 1.3e-009 1.59
59 2.0e-006 9.2e-003 1.3e-004 1.00e+000 1.724009577e+002 1.724057696e+002 1.2e-009 1.63
60 1.8e-006 9.0e-003 1.1e-004 1.00e+000 1.724012947e+002 1.724056253e+002 1.0e-009 1.66
61 1.6e-006 8.9e-003 1.0e-004 1.00e+000 1.724015979e+002 1.724054955e+002 9.4e-010 1.67
62 1.5e-006 8.8e-003 9.3e-005 1.00e+000 1.724018707e+002 1.724053786e+002 8.4e-010 1.70
63 1.3e-006 8.7e-003 8.3e-005 1.00e+000 1.724021162e+002 1.724052733e+002 7.6e-010 1.72
64 1.2e-006 8.6e-003 7.5e-005 1.00e+000 1.724023371e+002 1.724051785e+002 6.8e-010 1.75
65 1.1e-006 8.5e-003 6.8e-005 1.00e+000 1.724025359e+002 1.724050931e+002 6.2e-010 1.77
66 9.7e-007 8.4e-003 6.1e-005 1.00e+000 1.724027148e+002 1.724050163e+002 5.5e-010 1.80
67 8.7e-007 8.3e-003 5.5e-005 1.00e+000 1.724028757e+002 1.724049471e+002 5.0e-010 1.81
68 7.9e-007 8.3e-003 4.9e-005 1.00e+000 1.724030206e+002 1.724048848e+002 4.5e-010 1.84
69 7.1e-007 8.2e-003 4.4e-005 1.00e+000 1.724031509e+002 1.724048288e+002 4.0e-010 1.86
70 6.4e-007 8.1e-003 4.0e-005 1.00e+000 1.724032682e+002 1.724047783e+002 3.6e-010 1.88
71 5.7e-007 8.1e-003 3.6e-005 1.00e+000 1.724033737e+002 1.724047328e+002 3.3e-010 1.91
72 5.2e-007 8.0e-003 3.2e-005 1.00e+000 1.724034687e+002 1.724046919e+002 2.9e-010 1.92
73 4.6e-007 8.0e-003 2.9e-005 1.00e+000 1.724035542e+002 1.724046551e+002 2.6e-010 1.95
74 4.2e-007 7.9e-003 2.6e-005 1.00e+000 1.724036311e+002 1.724046219e+002 2.4e-010 1.97
75 3.8e-007 7.9e-003 2.4e-005 1.00e+000 1.724037003e+002 1.724045920e+002 2.1e-010 1.99
76 3.4e-007 7.9e-003 2.1e-005 1.00e+000 1.724037626e+002 1.724045652e+002 1.9e-010 2.02
77 3.0e-007 7.8e-003 1.9e-005 1.00e+000 1.724038186e+002 1.724045410e+002 1.7e-010 2.03
78 2.7e-007 7.8e-003 1.7e-005 1.00e+000 1.724038691e+002 1.724045192e+002 1.6e-010 2.06
79 2.5e-007 7.8e-003 1.5e-005 1.00e+000 1.724039145e+002 1.724044996e+002 1.4e-010 2.08
80 2.2e-007 7.7e-003 1.4e-005 1.00e+000 1.724039553e+002 1.724044819e+002 1.3e-010 2.09
81 2.0e-007 7.7e-003 1.3e-005 1.00e+000 1.724039921e+002 1.724044660e+002 1.1e-010 2.13
82 1.8e-007 7.7e-003 1.1e-005 1.00e+000 1.724040251e+002 1.724044517e+002 1.0e-010 2.14
83 1.6e-007 7.7e-003 1.0e-005 1.00e+000 1.724040549e+002 1.724044388e+002 9.2e-011 2.17
84 1.5e-007 7.7e-003 9.1e-006 1.00e+000 1.724040817e+002 1.724044271e+002 8.3e-011 2.19
85 1.3e-007 7.6e-003 8.2e-006 9.99e-001 1.724041058e+002 1.724044167e+002 7.5e-011 2.20
86 1.2e-007 7.6e-003 7.4e-006 9.97e-001 1.724041275e+002 1.724044073e+002 6.7e-011 2.23
87 1.1e-007 7.6e-003 6.7e-006 9.99e-001 1.724041470e+002 1.724043988e+002 6.1e-011 2.25
88 9.6e-008 7.6e-003 6.0e-006 1.00e+000 1.724041646e+002 1.724043913e+002 5.5e-011 2.28
89 8.6e-008 7.5e-003 5.4e-006 9.97e-001 1.724041804e+002 1.724043844e+002 4.9e-011 2.30
90 7.8e-008 6.8e-003 4.9e-006 1.00e+000 1.724041947e+002 1.724043782e+002 4.4e-011 2.33
91 7.0e-008 6.1e-003 4.4e-006 9.97e-001 1.724042075e+002 1.724043725e+002 4.0e-011 2.34
92 6.3e-008 5.5e-003 3.9e-006 1.02e+000 1.724042198e+002 1.724043672e+002 3.6e-011 2.36
93 5.7e-008 5.0e-003 3.5e-006 9.99e-001 1.724042301e+002 1.724043627e+002 3.2e-011 2.39
94 5.1e-008 4.5e-003 3.2e-006 9.97e-001 1.724042393e+002 1.724043587e+002 2.9e-011 2.41
95 4.6e-008 4.0e-003 2.9e-006 9.84e-001 1.724042476e+002 1.724043551e+002 2.6e-011 2.44
96 4.1e-008 3.6e-003 2.6e-006 1.02e+000 1.724042558e+002 1.724043515e+002 2.4e-011 2.45
97 3.7e-008 3.2e-003 2.3e-006 1.02e+000 1.724042631e+002 1.724043483e+002 2.2e-011 2.48
98 3.4e-008 2.9e-003 2.1e-006 1.01e+000 1.724042692e+002 1.724043456e+002 2.0e-011 2.50
99 3.1e-008 2.6e-003 1.9e-006 9.80e-001 1.724042745e+002 1.724043433e+002 1.8e-011 2.53
100 2.8e-008 2.4e-003 1.7e-006 1.05e+000 1.724042803e+002 1.724043410e+002 1.6e-011 2.55
101 8.0e-008 5.7e-004 4.1e-007 9.09e-001 1.724043115e+002 1.724043253e+002 3.2e-012 2.56
102 1.6e-007 5.6e-004 2.1e-007 1.00e+000 1.724043180e+002 1.724043253e+002 3.1e-012 2.59
103 1.6e-007 5.6e-004 2.1e-007 1.00e+000 1.724043180e+002 1.724043253e+002 3.1e-012 2.61
Interior-point optimizer terminated. Time: 2.61.
Optimizer terminated. Time: 2.64
solsta = 8, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : NEAR_OPTIMAL
Primal. obj: 1.7240431800e+002 nrm: 4e+001 Viol. con: 4e-006 var: 0e+000
Dual. obj: 1.7240432526e+002 nrm: 8e+002 Viol. con: 0e+000 var: 4e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.65 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 471
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 870
Optimizer - Cones : 0
Optimizer - Scalar variables : 3453 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.05
Factor - nonzeros before factor : 1.48e+004 after factor : 1.47e+005
Factor - dense dim. : 0 flops : 2.89e+007
Factor - GP saved nzs : 3.32e+004 GP saved flops : 9.06e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.223637184e+005 2.000000000e+000 1.0e+000 0.11
1 1.6e+003 2.2e+003 8.8e+004 -9.71e-001 -1.215967808e+005 2.651772494e+000 7.2e-001 0.13
2 8.4e+002 1.1e+003 4.5e+004 -9.59e-001 -1.191448781e+005 4.832349680e+000 3.7e-001 0.16
3 2.9e+002 3.9e+002 1.6e+004 -9.18e-001 -1.103945992e+005 2.042686551e+001 1.3e-001 0.19
4 2.9e+002 3.9e+002 1.6e+004 -7.70e-001 -1.083023424e+005 1.844868228e+003 1.3e-001 0.22
5 1.2e+002 1.6e+002 6.6e+003 -7.61e-001 -8.791556502e+004 6.054839798e+003 5.4e-002 0.23
6 4.4e+001 5.8e+001 2.3e+003 -4.61e-001 -5.101708789e+004 1.028633272e+004 1.9e-002 0.27
7 2.6e+001 3.4e+001 1.4e+003 1.61e-001 -3.519361174e+004 7.240899593e+003 1.1e-002 0.28
8 1.3e+001 1.7e+001 6.9e+002 4.61e-001 -1.921647038e+004 4.626290561e+003 5.7e-003 0.31
9 4.5e+000 6.0e+000 2.4e+002 7.41e-001 -6.880765256e+003 2.210470680e+003 2.0e-003 0.33
10 3.1e+000 4.1e+000 1.7e+002 9.38e-001 -4.631423648e+003 1.676632184e+003 1.4e-003 0.34
11 1.1e+000 1.4e+000 5.9e+001 9.65e-001 -1.539476274e+003 7.012203882e+002 4.9e-004 0.38
12 8.8e-001 1.2e+000 4.7e+001 9.86e-001 -1.197505589e+003 6.195578478e+002 4.0e-004 0.39
13 7.0e-001 1.0e+000 3.8e+001 9.67e-001 -9.471282503e+002 5.295124596e+002 3.2e-004 0.42
14 3.6e-001 5.2e-001 2.0e+001 9.89e-001 -3.846483045e+002 3.804639195e+002 1.7e-004 0.44
15 1.9e-001 2.7e-001 1.0e+001 9.96e-001 -1.312879009e+002 2.658374698e+002 8.6e-005 0.47
16 8.8e-002 1.6e-001 4.9e+000 1.00e+000 1.803215082e+001 2.051404679e+002 4.1e-005 0.48
17 7.9e-002 1.4e-001 4.4e+000 1.01e+000 4.002680848e+001 2.078285478e+002 3.7e-005 0.52
18 3.0e-002 8.6e-002 1.7e+000 1.01e+000 1.183710120e+002 1.818137406e+002 1.4e-005 0.55
19 1.2e-002 1.2e-001 6.7e-001 1.02e+000 1.484292083e+002 1.737272237e+002 5.6e-006 0.58
20 5.3e-003 3.5e-001 3.0e-001 1.01e+000 1.582996783e+002 1.697487855e+002 2.6e-006 0.61
21 2.1e-003 1.6e-001 1.2e-001 1.01e+000 1.636377290e+002 1.682805147e+002 1.1e-006 0.64
22 1.4e-003 1.1e-001 8.2e-002 1.01e+000 1.648786240e+002 1.679500242e+002 7.0e-007 0.66
23 5.7e-004 8.7e-002 3.4e-002 1.01e+000 1.662107621e+002 1.674617509e+002 2.9e-007 0.69
24 2.8e-004 7.7e-002 1.7e-002 1.01e+000 1.666545657e+002 1.672853077e+002 1.5e-007 0.72
25 2.6e-004 7.0e-002 1.5e-002 1.01e+000 1.667019756e+002 1.672695197e+002 1.3e-007 0.73
26 2.3e-004 6.4e-002 1.4e-002 1.01e+000 1.667420639e+002 1.672526664e+002 1.2e-007 0.77
27 2.1e-004 5.9e-002 1.2e-002 1.01e+000 1.667784573e+002 1.672378649e+002 1.1e-007 0.78
28 1.9e-004 5.3e-002 1.1e-002 1.01e+000 1.668110162e+002 1.672243696e+002 9.6e-008 0.81
29 1.7e-004 4.9e-002 1.0e-002 1.01e+000 1.668402136e+002 1.672121391e+002 8.7e-008 0.83
30 1.5e-004 4.5e-002 9.0e-003 1.01e+000 1.668663827e+002 1.672010404e+002 7.8e-008 0.86
31 1.4e-004 4.1e-002 8.1e-003 1.01e+000 1.668898406e+002 1.671909692e+002 7.0e-008 0.88
32 1.2e-004 3.8e-002 7.3e-003 1.01e+000 1.669108720e+002 1.671818378e+002 6.3e-008 0.91
33 1.1e-004 3.5e-002 6.6e-003 1.01e+000 1.669297286e+002 1.671735573e+002 5.7e-008 0.92
34 9.9e-005 3.2e-002 5.9e-003 1.00e+000 1.669466397e+002 1.671660536e+002 5.1e-008 0.95
35 8.9e-005 3.0e-002 5.3e-003 1.00e+000 1.669618079e+002 1.671592528e+002 4.6e-008 0.97
36 8.0e-005 2.8e-002 4.8e-003 1.00e+000 1.669754170e+002 1.671530960e+002 4.1e-008 1.00
37 7.2e-005 2.6e-002 4.3e-003 1.00e+000 1.669876280e+002 1.671475221e+002 3.7e-008 1.02
38 6.5e-005 2.4e-002 3.9e-003 1.00e+000 1.669985865e+002 1.671424771e+002 3.4e-008 1.05
39 5.9e-005 2.2e-002 3.5e-003 1.00e+000 1.670084229e+002 1.671379129e+002 3.0e-008 1.06
40 5.3e-005 2.1e-002 3.1e-003 1.00e+000 1.670172531e+002 1.671337856e+002 2.7e-008 1.08
41 4.7e-005 2.0e-002 2.8e-003 1.00e+000 1.670251807e+002 1.671300531e+002 2.5e-008 1.11
42 4.3e-005 1.8e-002 2.5e-003 1.00e+000 1.670322992e+002 1.671266778e+002 2.2e-008 1.13
43 3.8e-005 1.7e-002 2.3e-003 1.00e+000 1.670386923e+002 1.671236290e+002 2.0e-008 1.16
44 3.5e-005 1.7e-002 2.1e-003 1.00e+000 1.670444337e+002 1.671208738e+002 1.8e-008 1.17
45 3.1e-005 1.6e-002 1.9e-003 1.00e+000 1.670495910e+002 1.671183839e+002 1.6e-008 1.20
46 2.8e-005 1.5e-002 1.7e-003 1.00e+000 1.670542242e+002 1.671161359e+002 1.4e-008 1.22
47 2.5e-005 1.4e-002 1.5e-003 1.00e+000 1.670583865e+002 1.671141062e+002 1.3e-008 1.25
48 2.3e-005 1.4e-002 1.4e-003 1.00e+000 1.670621263e+002 1.671122728e+002 1.2e-008 1.27
49 2.0e-005 1.3e-002 1.2e-003 1.00e+000 1.670654871e+002 1.671106177e+002 1.1e-008 1.30
50 1.8e-005 1.3e-002 1.1e-003 1.00e+000 1.670685074e+002 1.671091237e+002 9.5e-009 1.31
51 1.7e-005 1.2e-002 9.9e-004 1.00e+000 1.670712218e+002 1.671077768e+002 8.6e-009 1.34
52 1.5e-005 1.2e-002 8.9e-004 1.00e+000 1.670736614e+002 1.671065603e+002 7.7e-009 1.36
53 1.3e-005 1.1e-002 8.0e-004 1.00e+000 1.670758544e+002 1.671054642e+002 6.9e-009 1.39
54 1.2e-005 1.1e-002 7.2e-004 1.00e+000 1.670778257e+002 1.671044746e+002 6.2e-009 1.41
55 1.1e-005 1.1e-002 6.5e-004 1.00e+000 1.670795983e+002 1.671035816e+002 5.6e-009 1.44
56 9.8e-006 1.1e-002 5.8e-004 1.00e+000 1.670811918e+002 1.671027777e+002 5.1e-009 1.45
57 8.8e-006 1.0e-002 5.3e-004 1.00e+000 1.670826247e+002 1.671020519e+002 4.6e-009 1.47
58 7.9e-006 1.0e-002 4.7e-004 1.00e+000 1.670839132e+002 1.671013980e+002 4.1e-009 1.50
59 7.1e-006 1.0e-002 4.3e-004 1.00e+000 1.670850720e+002 1.671008083e+002 3.7e-009 1.52
60 6.4e-006 9.8e-003 3.8e-004 1.00e+000 1.670861140e+002 1.671002773e+002 3.3e-009 1.55
61 5.8e-006 9.6e-003 3.4e-004 1.00e+000 1.670870512e+002 1.670997987e+002 3.0e-009 1.56
62 2.2e-006 3.6e-003 1.3e-004 1.00e+000 1.670922663e+002 1.670970997e+002 1.1e-009 1.59
63 8.7e-007 1.5e-003 5.3e-005 9.99e-001 1.670941717e+002 1.670961158e+002 4.6e-010 1.61
64 7.9e-007 1.3e-003 4.7e-005 1.01e+000 1.670943047e+002 1.670960519e+002 4.1e-010 1.63
65 7.1e-007 1.2e-003 4.3e-005 1.01e+000 1.670944213e+002 1.670959899e+002 3.7e-010 1.66
66 6.4e-007 1.1e-003 3.8e-005 9.98e-001 1.670945244e+002 1.670959362e+002 3.3e-010 1.67
67 5.7e-007 9.6e-004 3.4e-005 9.84e-001 1.670946168e+002 1.670958884e+002 3.0e-010 1.70
68 5.2e-007 8.6e-004 3.1e-005 9.97e-001 1.670947001e+002 1.670958447e+002 2.7e-010 1.72
69 4.6e-007 7.8e-004 2.8e-005 9.69e-001 1.670947747e+002 1.670958065e+002 2.4e-010 1.75
70 4.2e-007 7.0e-004 2.5e-005 9.97e-001 1.670948421e+002 1.670957709e+002 2.2e-010 1.77
71 3.8e-007 6.3e-004 2.3e-005 9.73e-001 1.670949026e+002 1.670957396e+002 2.0e-010 1.80
72 3.4e-007 5.7e-004 2.0e-005 1.04e+000 1.670949665e+002 1.670957043e+002 1.8e-010 1.81
73 3.0e-007 5.1e-004 1.8e-005 1.01e+000 1.670950159e+002 1.670956779e+002 1.6e-010 1.84
74 2.7e-007 4.6e-004 1.6e-005 1.00e+000 1.670950592e+002 1.670956550e+002 1.5e-010 1.86
75 2.5e-007 4.1e-004 1.5e-005 1.04e+000 1.670951053e+002 1.670956296e+002 1.3e-010 1.88
76 2.2e-007 3.7e-004 1.3e-005 9.64e-001 1.670951394e+002 1.670956121e+002 1.2e-010 1.91
77 2.0e-007 3.3e-004 1.2e-005 9.89e-001 1.670951702e+002 1.670955959e+002 1.1e-010 1.92
78 1.8e-007 3.0e-004 1.1e-005 1.01e+000 1.670951985e+002 1.670955808e+002 9.8e-011 1.95
79 1.6e-007 2.7e-004 9.7e-006 9.52e-001 1.670952233e+002 1.670955682e+002 8.8e-011 1.97
80 1.5e-007 2.4e-004 8.8e-006 9.48e-001 1.670952456e+002 1.670955568e+002 8.0e-011 1.99
81 1.3e-007 2.2e-004 7.9e-006 1.01e+000 1.670952669e+002 1.670955452e+002 7.2e-011 2.02
82 1.2e-007 2.0e-004 7.1e-006 1.12e+000 1.670952947e+002 1.670955288e+002 6.9e-011 2.03
83 1.1e-007 1.8e-004 6.4e-006 1.15e+000 1.670953203e+002 1.670955137e+002 6.6e-011 2.06
84 9.7e-008 1.6e-004 5.8e-006 1.08e+000 1.670953374e+002 1.670955043e+002 6.2e-011 2.08
85 8.7e-008 1.4e-004 5.2e-006 9.51e-001 1.670953484e+002 1.670954990e+002 5.6e-011 2.09
86 7.9e-008 1.3e-004 4.7e-006 1.01e+000 1.670953588e+002 1.670954936e+002 5.0e-011 2.13
87 8.1e-008 1.2e-004 4.2e-006 2.06e+000 1.670953696e+002 1.670954830e+002 4.5e-011 2.14
88 7.4e-008 1.1e-004 3.8e-006 1.05e+000 1.670953791e+002 1.670954786e+002 4.1e-011 2.17
89 6.7e-008 9.5e-005 3.4e-006 1.00e+000 1.670953861e+002 1.670954755e+002 3.7e-011 2.19
90 6.3e-008 8.5e-005 3.1e-006 1.38e+000 1.670953929e+002 1.670954714e+002 3.3e-011 2.22
91 5.9e-008 7.7e-005 2.8e-006 1.03e+000 1.670953991e+002 1.670954687e+002 3.0e-011 2.23
92 5.0e-008 6.9e-005 2.5e-006 8.60e-001 1.670954038e+002 1.670954670e+002 2.7e-011 2.27
93 4.7e-008 6.2e-005 2.2e-006 1.27e+000 1.670954085e+002 1.670954645e+002 2.5e-011 2.28
94 2.9e-008 4.8e-006 1.7e-007 6.87e-001 1.670954476e+002 1.670954526e+002 4.6e-012 2.31
Interior-point optimizer terminated. Time: 2.31.
Optimizer terminated. Time: 2.33
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709544761e+002 nrm: 2e+001 Viol. con: 8e-007 var: 0e+000
Dual. obj: 1.6709545263e+002 nrm: 9e+002 Viol. con: 0e+000 var: 2e-005
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.36 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 471
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 870
Optimizer - Cones : 0
Optimizer - Scalar variables : 3453 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.48e+004 after factor : 1.47e+005
Factor - dense dim. : 0 flops : 2.89e+007
Factor - GP saved nzs : 3.32e+004 GP saved flops : 9.06e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.221995260e+005 2.000000000e+000 1.0e+000 0.06
1 1.6e+003 2.2e+003 8.8e+004 -9.71e-001 -1.214485098e+005 2.632752263e+000 7.2e-001 0.08
2 8.7e+002 1.1e+003 4.6e+004 -9.59e-001 -1.191331143e+005 4.655497767e+000 3.8e-001 0.09
3 2.9e+002 3.8e+002 1.5e+004 -9.20e-001 -1.102221824e+005 2.014414807e+001 1.3e-001 0.13
4 2.9e+002 3.8e+002 1.5e+004 -7.70e-001 -1.080548328e+005 1.913931252e+003 1.3e-001 0.14
5 1.2e+002 1.6e+002 6.3e+003 -7.61e-001 -8.679130231e+004 6.275735811e+003 5.3e-002 0.16
6 4.0e+001 5.3e+001 2.1e+003 -4.46e-001 -4.754060874e+004 1.089180817e+004 1.8e-002 0.19
7 2.5e+001 3.3e+001 1.3e+003 2.21e-001 -3.385858067e+004 7.489008433e+003 1.1e-002 0.20
8 1.2e+001 1.6e+001 6.4e+002 4.86e-001 -1.817870398e+004 4.242994690e+003 5.3e-003 0.22
9 4.0e+000 5.4e+000 2.2e+002 7.62e-001 -6.124808057e+003 2.033340610e+003 1.8e-003 0.23
10 2.3e+000 3.1e+000 1.2e+002 9.49e-001 -3.337738506e+003 1.370042100e+003 1.0e-003 0.27
11 1.0e+000 1.3e+000 5.5e+001 9.83e-001 -1.382986637e+003 6.916304353e+002 4.6e-004 0.28
12 7.6e-001 1.0e+000 4.1e+001 9.81e-001 -1.037935124e+003 5.643375943e+002 3.5e-004 0.30
13 7.3e-001 9.6e-001 4.0e+001 9.85e-001 -9.748701489e+002 5.508849705e+002 3.3e-004 0.31
14 2.7e-001 4.0e-001 1.5e+001 9.85e-001 -2.694368731e+002 3.066547144e+002 1.3e-004 0.34
15 1.7e-001 4.3e-001 9.5e+000 1.01e+000 -1.164029131e+002 2.501967852e+002 8.0e-005 0.36
16 9.4e-002 2.4e-001 5.2e+000 1.01e+000 5.072440659e+000 2.050337745e+002 4.4e-005 0.39
17 9.3e-002 2.4e-001 5.1e+000 1.02e+000 7.675436626e+000 2.051340656e+002 4.3e-005 0.41
18 7.9e-002 2.0e-001 4.4e+000 1.02e+000 3.681134015e+001 2.041150325e+002 3.7e-005 0.44
19 3.6e-002 1.1e-001 2.0e+000 1.01e+000 1.082091563e+002 1.832572580e+002 1.7e-005 0.45
20 9.9e-003 1.8e-001 5.6e-001 1.01e+000 1.513921348e+002 1.723807829e+002 4.7e-006 0.47
21 3.0e-003 1.9e-001 1.7e-001 1.01e+000 1.617922657e+002 1.682950059e+002 1.5e-006 0.50
22 1.2e-003 1.4e-001 7.3e-002 1.01e+000 1.646594569e+002 1.673895810e+002 6.2e-007 0.52
23 7.8e-004 1.0e-001 4.6e-002 9.78e-001 1.653887018e+002 1.671255529e+002 4.0e-007 0.55
24 2.3e-004 1.1e-001 1.4e-002 9.86e-001 1.662687147e+002 1.667933784e+002 1.2e-007 0.56
25 7.6e-005 1.1e-001 4.8e-003 1.01e+000 1.665139108e+002 1.666910462e+002 4.2e-008 0.58
26 3.4e-005 9.0e-002 2.2e-003 1.01e+000 1.665818717e+002 1.666619038e+002 1.9e-008 0.61
27 3.1e-005 8.4e-002 2.0e-003 1.01e+000 1.665881350e+002 1.666606638e+002 1.7e-008 0.63
28 2.8e-005 7.5e-002 1.8e-003 1.00e+000 1.665931511e+002 1.666584046e+002 1.6e-008 0.66
29 2.5e-005 6.9e-002 1.6e-003 1.00e+000 1.665976565e+002 1.666563779e+002 1.4e-008 0.67
30 2.3e-005 6.2e-002 1.4e-003 1.00e+000 1.666017058e+002 1.666545470e+002 1.3e-008 0.69
31 2.0e-005 5.7e-002 1.3e-003 1.00e+000 1.666053433e+002 1.666528935e+002 1.1e-008 0.72
32 1.8e-005 5.2e-002 1.2e-003 1.00e+000 1.666086117e+002 1.666514010e+002 1.0e-008 0.73
33 1.6e-005 4.8e-002 1.0e-003 1.00e+000 1.666115488e+002 1.666500544e+002 9.2e-009 0.75
34 1.5e-005 4.4e-002 9.4e-004 1.00e+000 1.666141886e+002 1.666488397e+002 8.3e-009 0.78
35 1.3e-005 4.0e-002 8.4e-004 1.00e+000 1.666165612e+002 1.666477440e+002 7.5e-009 0.80
36 1.2e-005 3.7e-002 7.6e-004 1.00e+000 1.666186939e+002 1.666467558e+002 6.7e-009 0.81
37 1.1e-005 3.4e-002 6.8e-004 1.00e+000 1.666206110e+002 1.666458646e+002 6.1e-009 0.84
38 9.7e-006 3.1e-002 6.1e-004 1.00e+000 1.666223345e+002 1.666450609e+002 5.4e-009 0.86
39 8.7e-006 2.9e-002 5.5e-004 1.00e+000 1.666238839e+002 1.666443363e+002 4.9e-009 0.88
40 7.9e-006 2.7e-002 5.0e-004 1.00e+000 1.666252770e+002 1.666436829e+002 4.4e-009 0.91
41 7.1e-006 2.5e-002 4.5e-004 1.00e+000 1.666265295e+002 1.666430939e+002 4.0e-009 0.92
42 6.4e-006 2.3e-002 4.0e-004 1.00e+000 1.666276557e+002 1.666425629e+002 3.6e-009 0.95
43 5.7e-006 2.2e-002 3.6e-004 1.00e+000 1.666286684e+002 1.666420843e+002 3.2e-009 0.97
44 5.2e-006 2.0e-002 3.3e-004 1.00e+000 1.666295790e+002 1.666416528e+002 2.9e-009 0.98
45 4.6e-006 1.9e-002 2.9e-004 1.00e+000 1.666303979e+002 1.666412639e+002 2.6e-009 1.02
46 4.2e-006 1.8e-002 2.6e-004 1.00e+000 1.666311342e+002 1.666409134e+002 2.3e-009 1.03
47 3.8e-006 1.7e-002 2.4e-004 1.00e+000 1.666317963e+002 1.666405973e+002 2.1e-009 1.06
48 3.4e-006 1.6e-002 2.1e-004 1.00e+000 1.666323917e+002 1.666403124e+002 1.9e-009 1.08
49 3.0e-006 1.5e-002 1.9e-004 1.00e+000 1.666329271e+002 1.666400556e+002 1.7e-009 1.11
50 2.7e-006 1.5e-002 1.7e-004 1.00e+000 1.666334086e+002 1.666398240e+002 1.5e-009 1.13
51 2.5e-006 1.4e-002 1.6e-004 1.00e+000 1.666338415e+002 1.666396153e+002 1.4e-009 1.16
52 2.2e-006 1.3e-002 1.4e-004 1.00e+000 1.666342309e+002 1.666394272e+002 1.2e-009 1.17
53 2.0e-006 1.3e-002 1.3e-004 1.00e+000 1.666345811e+002 1.666392577e+002 1.1e-009 1.20
54 1.8e-006 1.2e-002 1.1e-004 1.00e+000 1.666348961e+002 1.666391050e+002 1.0e-009 1.22
55 1.6e-006 1.2e-002 1.0e-004 1.00e+000 1.666351794e+002 1.666389674e+002 9.1e-010 1.25
56 1.5e-006 1.2e-002 9.2e-005 1.00e+000 1.666354342e+002 1.666388434e+002 8.2e-010 1.28
57 1.3e-006 1.1e-002 8.3e-005 1.00e+000 1.666356635e+002 1.666387317e+002 7.4e-010 1.30
58 1.2e-006 1.1e-002 7.5e-005 1.00e+000 1.666358696e+002 1.666386310e+002 6.6e-010 1.33
59 1.1e-006 1.1e-002 6.7e-005 1.00e+000 1.666360551e+002 1.666385403e+002 6.0e-010 1.36
60 9.6e-007 1.0e-002 6.1e-005 1.00e+000 1.666362218e+002 1.666384585e+002 5.4e-010 1.39
61 8.6e-007 1.0e-002 5.4e-005 1.00e+000 1.666363718e+002 1.666383848e+002 4.8e-010 1.42
62 7.7e-007 9.9e-003 4.9e-005 1.00e+000 1.666365067e+002 1.666383184e+002 4.3e-010 1.44
63 7.0e-007 9.7e-003 4.4e-005 1.00e+000 1.666366280e+002 1.666382585e+002 3.9e-010 1.47
64 6.3e-007 9.5e-003 4.0e-005 1.00e+000 1.666367371e+002 1.666382046e+002 3.5e-010 1.48
65 5.6e-007 9.4e-003 3.6e-005 1.00e+000 1.666368352e+002 1.666381559e+002 3.2e-010 1.52
66 5.1e-007 9.2e-003 3.2e-005 1.00e+000 1.666369234e+002 1.666381120e+002 2.9e-010 1.53
67 4.6e-007 9.1e-003 2.9e-005 1.00e+000 1.666370027e+002 1.666380725e+002 2.6e-010 1.56
68 4.1e-007 9.0e-003 2.6e-005 1.00e+000 1.666370740e+002 1.666380368e+002 2.3e-010 1.58
69 3.7e-007 8.9e-003 2.3e-005 1.00e+000 1.666371381e+002 1.666380047e+002 2.1e-010 1.61
70 3.3e-007 8.8e-003 2.1e-005 1.00e+000 1.666371958e+002 1.666379757e+002 1.9e-010 1.63
71 3.0e-007 8.7e-003 1.9e-005 1.00e+000 1.666372477e+002 1.666379496e+002 1.7e-010 1.66
72 2.7e-007 8.6e-003 1.7e-005 1.00e+000 1.666372943e+002 1.666379260e+002 1.5e-010 1.67
73 2.4e-007 8.6e-003 1.5e-005 1.00e+000 1.666373363e+002 1.666379048e+002 1.4e-010 1.70
74 2.2e-007 8.5e-003 1.4e-005 1.00e+000 1.666373740e+002 1.666378857e+002 1.2e-010 1.72
75 2.0e-007 8.4e-003 1.2e-005 1.00e+000 1.666374080e+002 1.666378685e+002 1.1e-010 1.75
76 1.8e-007 8.4e-003 1.1e-005 1.00e+000 1.666374385e+002 1.666378530e+002 1.0e-010 1.77
77 1.6e-007 8.3e-003 1.0e-005 1.00e+000 1.666374660e+002 1.666378390e+002 9.0e-011 1.80
78 1.4e-007 8.3e-003 9.1e-006 1.00e+000 1.666374908e+002 1.666378265e+002 8.1e-011 1.81
79 1.3e-007 8.2e-003 8.2e-006 1.00e+000 1.666375130e+002 1.666378151e+002 7.3e-011 1.84
80 1.2e-007 8.2e-003 7.4e-006 1.00e+000 1.666375330e+002 1.666378050e+002 6.5e-011 1.86
81 1.0e-007 8.2e-003 6.6e-006 1.00e+000 1.666375510e+002 1.666377958e+002 5.9e-011 1.89
82 9.4e-008 8.1e-003 6.0e-006 1.00e+000 1.666375673e+002 1.666377875e+002 5.3e-011 1.91
83 8.5e-008 8.1e-003 5.4e-006 1.00e+000 1.666375819e+002 1.666377801e+002 4.8e-011 1.94
84 7.6e-008 8.0e-003 4.8e-006 9.98e-001 1.666375950e+002 1.666377734e+002 4.3e-011 1.95
85 6.9e-008 8.0e-003 4.3e-006 1.00e+000 1.666376068e+002 1.666377674e+002 3.9e-011 1.98
86 6.2e-008 8.0e-003 3.9e-006 1.00e+000 1.666376174e+002 1.666377619e+002 3.5e-011 2.00
87 5.6e-008 8.0e-003 3.5e-006 9.99e-001 1.666376270e+002 1.666377571e+002 3.1e-011 2.03
88 5.0e-008 7.9e-003 3.2e-006 1.00e+000 1.666376356e+002 1.666377527e+002 2.8e-011 2.05
89 4.5e-008 7.9e-003 2.9e-006 9.98e-001 1.666376434e+002 1.666377488e+002 2.5e-011 2.08
90 7.3e-008 7.1e-003 2.6e-006 1.01e+000 1.666376527e+002 1.666377367e+002 2.2e-011 2.09
91 8.0e-008 6.4e-003 2.3e-006 1.00e+000 1.666376628e+002 1.666377261e+002 1.9e-011 2.13
92 1.9e-007 5.8e-003 2.1e-006 1.00e+000 1.666376676e+002 1.666377250e+002 1.7e-011 2.14
93 1.7e-007 5.2e-003 1.9e-006 9.97e-001 1.666376721e+002 1.666377239e+002 1.5e-011 2.17
94 1.6e-007 4.7e-003 1.7e-006 9.99e-001 1.666376762e+002 1.666377228e+002 1.4e-011 2.19
95 1.4e-007 4.2e-003 1.5e-006 1.00e+000 1.666376799e+002 1.666377218e+002 1.2e-011 2.20
96 1.3e-007 3.8e-003 1.4e-006 1.00e+000 1.666376832e+002 1.666377209e+002 1.1e-011 2.23
97 1.2e-007 3.4e-003 1.2e-006 1.00e+000 1.666376862e+002 1.666377202e+002 9.9e-012 2.25
98 1.0e-007 3.1e-003 1.1e-006 9.99e-001 1.666376889e+002 1.666377195e+002 8.9e-012 2.28
99 9.3e-008 2.8e-003 9.9e-007 9.99e-001 1.666376913e+002 1.666377188e+002 8.0e-012 2.31
100 8.4e-008 2.5e-003 9.0e-007 1.00e+000 1.666376935e+002 1.666377183e+002 7.2e-012 2.33
101 8.4e-008 2.2e-003 8.1e-007 9.96e-001 1.666376956e+002 1.666377176e+002 6.5e-012 2.38
102 7.9e-008 2.0e-003 7.2e-007 1.00e+000 1.666376976e+002 1.666377171e+002 5.8e-012 2.39
103 7.2e-008 1.8e-003 6.5e-007 1.00e+000 1.666376991e+002 1.666377168e+002 5.3e-012 2.42
104 6.4e-008 1.6e-003 5.8e-007 1.00e+000 1.666377005e+002 1.666377164e+002 4.7e-012 2.44
105 6.3e-008 1.5e-003 4.7e-007 1.00e+000 1.666377031e+002 1.666377161e+002 4.3e-012 2.47
106 5.8e-008 1.3e-003 4.3e-007 1.00e+000 1.666377040e+002 1.666377158e+002 3.8e-012 2.48
107 5.7e-008 1.2e-003 3.7e-007 1.00e+000 1.666377054e+002 1.666377155e+002 3.4e-012 2.52
108 5.5e-009 1.2e-004 4.1e-008 1.00e+000 1.666377122e+002 1.666377134e+002 3.6e-013 2.53
Interior-point optimizer terminated. Time: 2.53.
Optimizer terminated. Time: 2.56
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663771223e+002 nrm: 2e+001 Viol. con: 8e-008 var: 0e+000
Dual. obj: 1.6663771336e+002 nrm: 9e+002 Viol. con: 0e+000 var: 6e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.59 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 471
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.05
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 870
Optimizer - Cones : 0
Optimizer - Scalar variables : 3453 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.06 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.05
Factor - nonzeros before factor : 1.48e+004 after factor : 1.47e+005
Factor - dense dim. : 0 flops : 2.89e+007
Factor - GP saved nzs : 3.32e+004 GP saved flops : 9.06e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.222172762e+005 2.000000000e+000 1.0e+000 0.11
1 1.6e+003 2.2e+003 8.8e+004 -9.71e-001 -1.214723541e+005 2.624860291e+000 7.2e-001 0.14
2 8.7e+002 1.2e+003 4.6e+004 -9.59e-001 -1.191600648e+005 4.640065791e+000 3.8e-001 0.17
3 2.9e+002 3.8e+002 1.5e+004 -9.21e-001 -1.101905174e+005 2.007531139e+001 1.3e-001 0.20
4 2.9e+002 3.8e+002 1.5e+004 -7.70e-001 -1.079534852e+005 1.972409194e+003 1.3e-001 0.23
5 1.2e+002 1.6e+002 6.3e+003 -7.60e-001 -8.657719809e+004 6.298069819e+003 5.2e-002 0.27
6 4.2e+001 5.6e+001 2.2e+003 -4.43e-001 -4.925355487e+004 1.070989381e+004 1.9e-002 0.28
7 2.5e+001 3.3e+001 1.3e+003 1.89e-001 -3.417053963e+004 7.445376119e+003 1.1e-002 0.31
8 1.3e+001 1.7e+001 7.0e+002 4.80e-001 -1.947379735e+004 4.624174908e+003 5.8e-003 0.33
9 4.8e+000 6.4e+000 2.6e+002 7.40e-001 -7.348185042e+003 2.244743799e+003 2.1e-003 0.36
10 2.3e+000 3.0e+000 1.2e+002 9.32e-001 -3.276266972e+003 1.379198718e+003 1.0e-003 0.38
11 1.4e+000 1.9e+000 7.7e+001 9.82e-001 -2.018898393e+003 9.189992953e+002 6.4e-004 0.41
12 8.6e-001 1.1e+000 4.6e+001 9.88e-001 -1.150705877e+003 6.195823732e+002 3.9e-004 0.42
13 7.4e-001 1.0e+000 4.0e+001 9.56e-001 -9.920714059e+002 5.488680050e+002 3.3e-004 0.45
14 5.7e-001 7.9e-001 3.1e+001 9.89e-001 -7.199092946e+002 4.749626692e+002 2.6e-004 0.47
15 1.7e-001 2.6e-001 9.4e+000 9.92e-001 -1.186870824e+002 2.437214800e+002 7.9e-005 0.50
16 9.9e-002 1.6e-001 5.5e+000 1.01e+000 -3.505195583e+000 2.071335851e+002 4.6e-005 0.52
17 9.8e-002 1.6e-001 5.4e+000 1.02e+000 -1.958210295e+000 2.072290471e+002 4.6e-005 0.55
18 8.9e-002 1.4e-001 4.9e+000 1.02e+000 1.921030870e+001 2.077670311e+002 4.2e-005 0.56
19 5.0e-002 8.8e-002 2.8e+000 1.02e+000 8.307361943e+001 1.898185386e+002 2.4e-005 0.59
20 1.8e-002 8.6e-002 1.0e+000 1.02e+000 1.375912284e+002 1.754534287e+002 8.5e-006 0.63
21 4.8e-003 2.3e-001 2.8e-001 1.01e+000 1.590499717e+002 1.694335148e+002 2.3e-006 0.64
22 3.3e-003 2.5e-001 1.9e-001 1.00e+000 1.612917162e+002 1.684642104e+002 1.6e-006 0.67
23 1.2e-003 1.4e-001 7.0e-002 1.00e+000 1.646656026e+002 1.672873338e+002 5.9e-007 0.69
24 9.0e-004 1.2e-001 5.3e-002 9.94e-001 1.651194082e+002 1.671012436e+002 4.5e-007 0.72
25 3.8e-004 8.5e-002 2.3e-002 9.84e-001 1.659363237e+002 1.667827583e+002 1.9e-007 0.73
26 2.1e-004 7.0e-002 1.3e-002 1.01e+000 1.662008397e+002 1.666736895e+002 1.1e-007 0.77
27 1.6e-004 6.5e-002 9.5e-003 1.01e+000 1.662864144e+002 1.666424098e+002 8.2e-008 0.78
28 1.4e-004 5.9e-002 8.6e-003 1.01e+000 1.663125151e+002 1.666327407e+002 7.4e-008 0.81
29 1.3e-004 5.4e-002 7.7e-003 1.01e+000 1.663345692e+002 1.666227052e+002 6.6e-008 0.83
30 1.2e-004 4.9e-002 7.0e-003 1.01e+000 1.663546017e+002 1.666138745e+002 6.0e-008 0.86
31 1.0e-004 4.5e-002 6.3e-003 1.01e+000 1.663725385e+002 1.666058435e+002 5.4e-008 0.88
32 9.4e-005 4.1e-002 5.6e-003 1.01e+000 1.663886394e+002 1.665985810e+002 4.8e-008 0.91
33 8.4e-005 3.8e-002 5.1e-003 1.00e+000 1.664030858e+002 1.665920069e+002 4.4e-008 0.92
34 7.6e-005 3.5e-002 4.6e-003 1.00e+000 1.664160506e+002 1.665860583e+002 3.9e-008 0.94
35 6.8e-005 3.2e-002 4.1e-003 1.00e+000 1.664276867e+002 1.665806768e+002 3.5e-008 0.97
36 6.1e-005 2.9e-002 3.7e-003 1.00e+000 1.664381316e+002 1.665758093e+002 3.2e-008 0.98
37 5.5e-005 2.7e-002 3.3e-003 1.00e+000 1.664475083e+002 1.665714077e+002 2.9e-008 1.02
38 5.0e-005 2.5e-002 3.0e-003 1.00e+000 1.664559271e+002 1.665674283e+002 2.6e-008 1.03
39 4.5e-005 2.3e-002 2.7e-003 1.00e+000 1.664634866e+002 1.665638312e+002 2.3e-008 1.06
40 4.0e-005 2.2e-002 2.4e-003 1.00e+000 1.664702752e+002 1.665605804e+002 2.1e-008 1.08
41 3.6e-005 2.0e-002 2.2e-003 1.00e+000 1.664763722e+002 1.665576431e+002 1.9e-008 1.11
42 3.3e-005 1.9e-002 2.0e-003 1.00e+000 1.664818485e+002 1.665549894e+002 1.7e-008 1.13
43 2.9e-005 1.8e-002 1.8e-003 1.00e+000 1.664867680e+002 1.665525926e+002 1.5e-008 1.16
44 2.6e-005 1.7e-002 1.6e-003 1.00e+000 1.664911875e+002 1.665504281e+002 1.4e-008 1.17
45 2.4e-005 1.6e-002 1.4e-003 1.00e+000 1.664951584e+002 1.665484737e+002 1.2e-008 1.19
46 2.1e-005 1.5e-002 1.3e-003 1.00e+000 1.664987264e+002 1.665467094e+002 1.1e-008 1.22
47 1.9e-005 1.5e-002 1.2e-003 1.00e+000 1.665019329e+002 1.665451170e+002 1.0e-008 1.24
48 1.7e-005 1.4e-002 1.0e-003 1.00e+000 1.665048148e+002 1.665436801e+002 9.0e-009 1.27
49 1.6e-005 1.3e-002 9.4e-004 1.00e+000 1.665074051e+002 1.665423837e+002 8.1e-009 1.28
50 1.4e-005 1.3e-002 8.5e-004 1.00e+000 1.665097337e+002 1.665412144e+002 7.3e-009 1.30
51 1.3e-005 1.2e-002 7.6e-004 1.00e+000 1.665118273e+002 1.665401599e+002 6.6e-009 1.33
52 1.1e-005 1.2e-002 6.9e-004 1.00e+000 1.665137097e+002 1.665392091e+002 5.9e-009 1.34
53 1.0e-005 1.2e-002 6.2e-004 1.00e+000 1.665154024e+002 1.665383520e+002 5.3e-009 1.38
54 9.2e-006 1.1e-002 5.6e-004 1.00e+000 1.665169247e+002 1.665375794e+002 4.8e-009 1.39
55 8.3e-006 1.1e-002 5.0e-004 1.00e+000 1.665182939e+002 1.665368832e+002 4.3e-009 1.41
56 7.5e-006 1.1e-002 4.5e-004 1.00e+000 1.665195253e+002 1.665362558e+002 3.9e-009 1.44
57 6.7e-006 1.0e-002 4.0e-004 1.00e+000 1.665206330e+002 1.665356906e+002 3.5e-009 1.45
58 6.0e-006 1.0e-002 3.6e-004 1.00e+000 1.665216293e+002 1.665351813e+002 3.1e-009 1.49
59 5.4e-006 1.0e-002 3.3e-004 1.00e+000 1.665225256e+002 1.665347225e+002 2.8e-009 1.50
60 4.9e-006 9.8e-003 3.0e-004 1.00e+000 1.665233318e+002 1.665343091e+002 2.5e-009 1.53
61 4.4e-006 9.6e-003 2.7e-004 1.00e+000 1.665240569e+002 1.665339367e+002 2.3e-009 1.55
62 4.0e-006 9.5e-003 2.4e-004 1.00e+000 1.665247092e+002 1.665336011e+002 2.1e-009 1.56
63 3.6e-006 9.3e-003 2.2e-004 1.00e+000 1.665252959e+002 1.665332987e+002 1.9e-009 1.59
64 3.2e-006 9.2e-003 1.9e-004 1.00e+000 1.665258236e+002 1.665330262e+002 1.7e-009 1.61
65 2.9e-006 9.1e-003 1.7e-004 1.00e+000 1.665262982e+002 1.665327806e+002 1.5e-009 1.64
66 2.6e-006 9.0e-003 1.6e-004 1.00e+000 1.665267252e+002 1.665325594e+002 1.4e-009 1.66
67 2.3e-006 8.9e-003 1.4e-004 1.00e+000 1.665271092e+002 1.665323600e+002 1.2e-009 1.67
68 2.1e-006 8.9e-003 1.3e-004 1.00e+000 1.665274547e+002 1.665321805e+002 1.1e-009 1.70
69 1.9e-006 8.8e-003 1.1e-004 1.00e+000 1.665277654e+002 1.665320187e+002 9.9e-010 1.72
70 1.7e-006 8.7e-003 1.0e-004 1.00e+000 1.665280450e+002 1.665318730e+002 8.9e-010 1.75
71 1.5e-006 8.7e-003 9.3e-005 1.00e+000 1.665282965e+002 1.665317418e+002 8.0e-010 1.77
72 1.4e-006 8.6e-003 8.3e-005 1.00e+000 1.665285228e+002 1.665316235e+002 7.2e-010 1.78
73 1.2e-006 8.6e-003 7.5e-005 1.00e+000 1.665287263e+002 1.665315170e+002 6.5e-010 1.81
74 1.1e-006 8.5e-003 6.8e-005 1.00e+000 1.665289094e+002 1.665314211e+002 5.8e-010 1.83
75 1.0e-006 8.5e-003 6.1e-005 1.00e+000 1.665290741e+002 1.665313346e+002 5.2e-010 1.86
76 9.1e-007 8.4e-003 5.5e-005 1.00e+000 1.665292223e+002 1.665312568e+002 4.7e-010 1.88
77 8.2e-007 8.4e-003 4.9e-005 1.00e+000 1.665293555e+002 1.665311866e+002 4.2e-010 1.89
78 7.3e-007 8.4e-003 4.4e-005 1.00e+000 1.665294754e+002 1.665311233e+002 3.8e-010 1.92
79 6.6e-007 8.3e-003 4.0e-005 1.00e+000 1.665295832e+002 1.665310663e+002 3.4e-010 1.94
80 6.0e-007 8.3e-003 3.6e-005 1.00e+000 1.665296801e+002 1.665310150e+002 3.1e-010 1.97
81 5.4e-007 8.3e-003 3.2e-005 1.00e+000 1.665297673e+002 1.665309686e+002 2.8e-010 1.99
82 4.8e-007 8.2e-003 2.9e-005 1.00e+000 1.665298456e+002 1.665309269e+002 2.5e-010 2.02
83 4.3e-007 8.2e-003 2.6e-005 1.00e+000 1.665299161e+002 1.665308893e+002 2.3e-010 2.03
84 3.9e-007 8.2e-003 2.4e-005 1.00e+000 1.665299795e+002 1.665308553e+002 2.0e-010 2.05
85 3.5e-007 8.2e-003 2.1e-005 1.00e+000 1.665300365e+002 1.665308248e+002 1.8e-010 2.08
86 3.2e-007 8.1e-003 1.9e-005 1.00e+000 1.665300878e+002 1.665307972e+002 1.6e-010 2.09
87 2.8e-007 8.1e-003 1.7e-005 1.00e+000 1.665301339e+002 1.665307724e+002 1.5e-010 2.13
88 2.6e-007 8.1e-003 1.5e-005 1.00e+000 1.665301753e+002 1.665307500e+002 1.3e-010 2.14
89 2.3e-007 8.1e-003 1.4e-005 1.00e+000 1.665302126e+002 1.665307298e+002 1.2e-010 2.17
90 2.1e-007 8.1e-003 1.3e-005 1.00e+000 1.665302462e+002 1.665307117e+002 1.1e-010 2.19
91 1.9e-007 8.0e-003 1.1e-005 1.00e+000 1.665302764e+002 1.665306953e+002 9.7e-011 2.22
92 1.7e-007 8.0e-003 1.0e-005 1.00e+000 1.665303035e+002 1.665306806e+002 8.8e-011 2.23
93 1.5e-007 8.0e-003 9.1e-006 1.00e+000 1.665303280e+002 1.665306673e+002 7.9e-011 2.27
94 1.4e-007 8.0e-003 8.2e-006 1.00e+000 1.665303500e+002 1.665306554e+002 7.1e-011 2.28
95 1.2e-007 8.0e-003 7.4e-006 1.00e+000 1.665303698e+002 1.665306446e+002 6.4e-011 2.31
96 1.1e-007 8.0e-003 6.7e-006 1.00e+000 1.665303876e+002 1.665306349e+002 5.7e-011 2.33
97 9.9e-008 8.0e-003 6.0e-006 1.00e+000 1.665304036e+002 1.665306261e+002 5.2e-011 2.36
98 8.9e-008 7.9e-003 5.4e-006 1.00e+000 1.665304180e+002 1.665306183e+002 4.7e-011 2.38
99 8.1e-008 7.9e-003 4.9e-006 1.00e+000 1.665304310e+002 1.665306112e+002 4.2e-011 2.41
100 7.2e-008 7.9e-003 4.4e-006 1.00e+000 1.665304426e+002 1.665306049e+002 3.8e-011 2.42
101 6.5e-008 7.9e-003 3.9e-006 9.98e-001 1.665304531e+002 1.665305992e+002 3.4e-011 2.45
102 5.9e-008 7.9e-003 3.5e-006 1.00e+000 1.665304626e+002 1.665305940e+002 3.1e-011 2.47
103 5.3e-008 7.8e-003 3.2e-006 1.00e+000 1.665304711e+002 1.665305894e+002 2.7e-011 2.50
104 4.8e-008 7.8e-003 2.9e-006 9.99e-001 1.665304787e+002 1.665305852e+002 2.5e-011 2.52
105 4.3e-008 7.8e-003 2.6e-006 9.99e-001 1.665304856e+002 1.665305814e+002 2.2e-011 2.53
106 3.9e-008 7.8e-003 2.3e-006 9.98e-001 1.665304918e+002 1.665305781e+002 2.0e-011 2.56
107 3.5e-008 7.8e-003 2.1e-006 1.00e+000 1.665304974e+002 1.665305750e+002 1.8e-011 2.58
108 3.1e-008 7.7e-003 1.9e-006 9.97e-001 1.665305024e+002 1.665305723e+002 1.6e-011 2.61
109 2.8e-008 7.7e-003 1.7e-006 9.98e-001 1.665305069e+002 1.665305699e+002 1.5e-011 2.63
110 2.5e-008 7.7e-003 1.5e-006 9.96e-001 1.665305110e+002 1.665305676e+002 1.3e-011 2.66
111 2.3e-008 7.7e-003 1.4e-006 9.99e-001 1.665305147e+002 1.665305656e+002 1.2e-011 2.67
112 2.0e-008 7.7e-003 1.2e-006 1.00e+000 1.665305180e+002 1.665305638e+002 1.1e-011 2.70
113 1.8e-008 6.9e-003 1.1e-006 1.00e+000 1.665305209e+002 1.665305622e+002 9.6e-012 2.72
114 1.7e-008 6.2e-003 1.0e-006 1.00e+000 1.665305236e+002 1.665305607e+002 8.6e-012 2.75
115 1.5e-008 5.6e-003 9.0e-007 9.98e-001 1.665305260e+002 1.665305594e+002 7.8e-012 2.77
116 1.3e-008 5.0e-003 8.1e-007 9.98e-001 1.665305282e+002 1.665305582e+002 7.0e-012 2.80
117 1.2e-008 4.5e-003 7.3e-007 9.99e-001 1.665305301e+002 1.665305572e+002 6.3e-012 2.81
118 1.1e-008 4.1e-003 6.6e-007 1.00e+000 1.665305319e+002 1.665305562e+002 5.7e-012 2.84
119 9.8e-009 3.7e-003 5.9e-007 9.94e-001 1.665305334e+002 1.665305554e+002 5.1e-012 2.86
120 8.8e-009 3.3e-003 5.3e-007 9.86e-001 1.665305349e+002 1.665305546e+002 4.6e-012 2.88
121 8.5e-008 1.2e-003 1.9e-007 4.86e-001 1.665305464e+002 1.665305608e+002 2.0e-012 2.91
122 1.2e-007 1.1e-003 1.7e-007 9.92e-001 1.665305479e+002 1.665305623e+002 1.8e-012 2.92
123 1.0e-007 9.6e-004 1.6e-007 1.00e+000 1.665305478e+002 1.665305608e+002 1.6e-012 2.95
124 9.3e-008 8.7e-004 1.4e-007 1.00e+000 1.665305478e+002 1.665305595e+002 1.4e-012 2.97
125 8.4e-008 7.8e-004 1.3e-007 1.00e+000 1.665305478e+002 1.665305583e+002 1.3e-012 3.00
126 7.6e-008 7.0e-004 1.1e-007 9.99e-001 1.665305478e+002 1.665305572e+002 1.2e-012 3.02
127 6.8e-008 6.3e-004 1.0e-007 9.98e-001 1.665305478e+002 1.665305563e+002 1.0e-012 3.05
128 6.1e-008 5.7e-004 9.2e-008 9.94e-001 1.665305478e+002 1.665305554e+002 9.4e-013 3.06
Interior-point optimizer terminated. Time: 3.06.
Optimizer terminated. Time: 3.08
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054776e+002 nrm: 2e+001 Viol. con: 3e-006 var: 0e+000
Dual. obj: 1.6653055541e+002 nrm: 1e+003 Viol. con: 0e+000 var: 9e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.11 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 471
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.05
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 870
Optimizer - Cones : 0
Optimizer - Scalar variables : 3453 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.06 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.48e+004 after factor : 1.47e+005
Factor - dense dim. : 0 flops : 2.89e+007
Factor - GP saved nzs : 3.32e+004 GP saved flops : 9.06e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.222140918e+005 2.000000000e+000 1.0e+000 0.11
1 1.6e+003 2.2e+003 8.8e+004 -9.71e-001 -1.214694322e+005 2.622524733e+000 7.2e-001 0.14
2 8.7e+002 1.2e+003 4.7e+004 -9.59e-001 -1.191636199e+005 4.628431031e+000 3.8e-001 0.16
3 2.9e+002 3.8e+002 1.5e+004 -9.21e-001 -1.101376639e+005 2.011898828e+001 1.3e-001 0.19
4 2.9e+002 3.8e+002 1.5e+004 -7.69e-001 -1.079182418e+005 1.962140407e+003 1.3e-001 0.22
5 1.2e+002 1.5e+002 6.2e+003 -7.59e-001 -8.637744746e+004 6.311793233e+003 5.2e-002 0.23
6 3.3e+001 4.4e+001 1.8e+003 -4.39e-001 -4.095232676e+004 1.163610898e+004 1.5e-002 0.27
7 2.1e+001 2.7e+001 1.1e+003 3.41e-001 -2.860172757e+004 7.418112995e+003 9.2e-003 0.28
8 1.0e+001 1.4e+001 5.5e+002 5.82e-001 -1.560633347e+004 4.111275508e+003 4.6e-003 0.31
9 3.8e+000 5.1e+000 2.1e+002 8.06e-001 -5.848672010e+003 1.904437659e+003 1.7e-003 0.33
10 2.1e+000 2.8e+000 1.1e+002 9.51e-001 -3.043789412e+003 1.215799273e+003 9.4e-004 0.36
11 8.8e-001 1.2e+000 4.8e+001 9.86e-001 -1.178824208e+003 6.404720052e+002 4.0e-004 0.38
12 8.4e-001 1.1e+000 4.6e+001 9.64e-001 -1.144460221e+003 6.102585061e+002 3.8e-004 0.39
13 5.3e-001 7.0e-001 2.9e+001 9.73e-001 -6.848819951e+002 4.357423100e+002 2.4e-004 0.42
14 3.5e-001 4.7e-001 1.9e+001 1.00e+000 -3.765174086e+002 3.604658005e+002 1.6e-004 0.44
15 1.4e-001 2.0e-001 7.6e+000 9.96e-001 -6.326420273e+001 2.308763752e+002 6.5e-005 0.47
16 8.5e-002 1.3e-001 4.7e+000 1.01e+000 2.245041635e+001 2.023531091e+002 4.0e-005 0.48
17 8.1e-002 1.2e-001 4.5e+000 1.02e+000 2.818068800e+001 2.011809902e+002 3.8e-005 0.50
18 5.5e-002 8.5e-002 3.0e+000 1.02e+000 7.590922907e+001 1.918141148e+002 2.6e-005 0.53
19 1.6e-002 8.7e-002 9.0e-001 1.02e+000 1.408034601e+002 1.746828738e+002 7.6e-006 0.55
20 4.8e-003 2.0e-001 2.7e-001 1.01e+000 1.590201195e+002 1.692540203e+002 2.3e-006 0.58
21 3.2e-003 2.2e-001 1.8e-001 1.01e+000 1.614660681e+002 1.682589131e+002 1.5e-006 0.59
22 1.0e-003 1.3e-001 6.0e-002 1.00e+000 1.648754715e+002 1.671201115e+002 5.1e-007 0.61
23 3.3e-004 1.1e-001 2.0e-002 1.01e+000 1.659562011e+002 1.666963399e+002 1.7e-007 0.64
24 1.5e-004 9.4e-002 9.2e-003 1.01e+000 1.662389479e+002 1.665805780e+002 8.0e-008 0.66
25 1.4e-004 8.5e-002 8.3e-003 1.01e+000 1.662650841e+002 1.665725291e+002 7.2e-008 0.69
26 1.2e-004 7.7e-002 7.4e-003 1.01e+000 1.662864876e+002 1.665630697e+002 6.5e-008 0.70
27 1.1e-004 7.0e-002 6.7e-003 1.01e+000 1.663058658e+002 1.665547068e+002 5.8e-008 0.73
28 9.9e-005 6.4e-002 6.0e-003 1.01e+000 1.663232114e+002 1.665470982e+002 5.3e-008 0.75
29 8.9e-005 5.9e-002 5.4e-003 1.01e+000 1.663387782e+002 1.665402189e+002 4.7e-008 0.77
30 8.0e-005 5.3e-002 4.9e-003 1.01e+000 1.663527426e+002 1.665339919e+002 4.3e-008 0.80
31 7.2e-005 4.9e-002 4.4e-003 1.01e+000 1.663652714e+002 1.665283569e+002 3.8e-008 0.81
32 6.5e-005 4.5e-002 4.0e-003 1.01e+000 1.663765130e+002 1.665232582e+002 3.5e-008 0.84
33 5.8e-005 4.1e-002 3.6e-003 1.01e+000 1.663866009e+002 1.665186455e+002 3.1e-008 0.86
34 5.2e-005 3.8e-002 3.2e-003 1.01e+000 1.663956543e+002 1.665144732e+002 2.8e-008 0.89
35 4.7e-005 3.5e-002 2.9e-003 1.01e+000 1.664037805e+002 1.665107002e+002 2.5e-008 0.91
36 4.2e-005 3.2e-002 2.6e-003 1.00e+000 1.664110753e+002 1.665072890e+002 2.3e-008 0.94
37 3.8e-005 3.0e-002 2.3e-003 1.00e+000 1.664176245e+002 1.665042055e+002 2.0e-008 0.95
38 3.4e-005 2.8e-002 2.1e-003 1.00e+000 1.664235051e+002 1.665014188e+002 1.8e-008 0.98
39 3.1e-005 2.6e-002 1.9e-003 1.00e+000 1.664287861e+002 1.664989010e+002 1.7e-008 1.00
40 2.8e-005 2.4e-002 1.7e-003 1.00e+000 1.664335290e+002 1.664966264e+002 1.5e-008 1.03
41 2.5e-005 2.2e-002 1.5e-003 1.00e+000 1.664377892e+002 1.664945721e+002 1.3e-008 1.05
42 2.3e-005 2.1e-002 1.4e-003 1.00e+000 1.664416163e+002 1.664927171e+002 1.2e-008 1.06
43 2.0e-005 2.0e-002 1.2e-003 1.00e+000 1.664450547e+002 1.664910424e+002 1.1e-008 1.09
44 1.8e-005 1.8e-002 1.1e-003 1.00e+000 1.664481441e+002 1.664895306e+002 9.8e-009 1.11
45 1.6e-005 1.7e-002 1.0e-003 1.00e+000 1.664509203e+002 1.664881663e+002 8.8e-009 1.14
46 1.5e-005 1.6e-002 9.1e-004 1.00e+000 1.664534154e+002 1.664869352e+002 7.9e-009 1.16
47 1.3e-005 1.6e-002 8.2e-004 1.00e+000 1.664556579e+002 1.664858246e+002 7.1e-009 1.17
48 1.2e-005 1.5e-002 7.3e-004 1.00e+000 1.664576737e+002 1.664848228e+002 6.4e-009 1.20
49 1.1e-005 1.4e-002 6.6e-004 1.00e+000 1.664594858e+002 1.664839194e+002 5.8e-009 1.22
50 9.7e-006 1.3e-002 5.9e-004 1.00e+000 1.664611151e+002 1.664831047e+002 5.2e-009 1.25
51 8.7e-006 1.3e-002 5.3e-004 1.00e+000 1.664625800e+002 1.664823703e+002 4.7e-009 1.26
52 7.9e-006 1.2e-002 4.8e-004 1.00e+000 1.664638973e+002 1.664817083e+002 4.2e-009 1.28
53 7.1e-006 1.2e-002 4.3e-004 1.00e+000 1.664650820e+002 1.664811116e+002 3.8e-009 1.31
54 6.4e-006 1.2e-002 3.9e-004 1.00e+000 1.664661475e+002 1.664805740e+002 3.4e-009 1.33
55 5.7e-006 1.1e-002 3.5e-004 1.00e+000 1.664671058e+002 1.664800895e+002 3.1e-009 1.36
56 5.2e-006 1.1e-002 3.2e-004 1.00e+000 1.664679677e+002 1.664796530e+002 2.8e-009 1.38
57 4.6e-006 1.1e-002 2.8e-004 1.00e+000 1.664687431e+002 1.664792598e+002 2.5e-009 1.39
58 4.2e-006 1.0e-002 2.6e-004 1.00e+000 1.664694406e+002 1.664789056e+002 2.2e-009 1.42
59 3.8e-006 1.0e-002 2.3e-004 1.00e+000 1.664700680e+002 1.664785865e+002 2.0e-009 1.44
60 3.4e-006 9.9e-003 2.1e-004 1.00e+000 1.664706323e+002 1.664782990e+002 1.8e-009 1.45
61 3.0e-006 9.7e-003 1.9e-004 1.00e+000 1.664711400e+002 1.664780400e+002 1.6e-009 1.48
62 2.7e-006 9.5e-003 1.7e-004 1.00e+000 1.664715968e+002 1.664778068e+002 1.5e-009 1.50
63 2.5e-006 9.4e-003 1.5e-004 1.00e+000 1.664720077e+002 1.664775967e+002 1.3e-009 1.53
64 2.2e-006 9.2e-003 1.4e-004 1.00e+000 1.664723775e+002 1.664774076e+002 1.2e-009 1.55
65 2.0e-006 9.1e-003 1.2e-004 1.00e+000 1.664727102e+002 1.664772373e+002 1.1e-009 1.56
66 1.8e-006 9.0e-003 1.1e-004 1.00e+000 1.664730096e+002 1.664770841e+002 9.6e-010 1.59
67 1.6e-006 8.9e-003 9.9e-005 1.00e+000 1.664732791e+002 1.664769461e+002 8.7e-010 1.61
68 1.5e-006 8.8e-003 8.9e-005 1.00e+000 1.664735216e+002 1.664768219e+002 7.8e-010 1.64
69 1.3e-006 8.7e-003 8.0e-005 1.00e+000 1.664737398e+002 1.664767101e+002 7.0e-010 1.66
70 1.2e-006 8.6e-003 7.2e-005 1.00e+000 1.664739362e+002 1.664766095e+002 6.3e-010 1.67
71 1.1e-006 8.5e-003 6.5e-005 1.00e+000 1.664741129e+002 1.664765189e+002 5.7e-010 1.70
72 9.6e-007 8.4e-003 5.9e-005 1.00e+000 1.664742720e+002 1.664764374e+002 5.1e-010 1.72
73 8.6e-007 8.4e-003 5.3e-005 1.00e+000 1.664744151e+002 1.664763639e+002 4.6e-010 1.75
74 7.7e-007 8.3e-003 4.7e-005 1.00e+000 1.664745438e+002 1.664762978e+002 4.2e-010 1.76
75 7.0e-007 8.3e-003 4.3e-005 1.00e+000 1.664746597e+002 1.664762383e+002 3.7e-010 1.80
76 6.3e-007 8.2e-003 3.8e-005 1.00e+000 1.664747639e+002 1.664761847e+002 3.4e-010 1.81
77 5.6e-007 8.2e-003 3.5e-005 1.00e+000 1.664748577e+002 1.664761364e+002 3.0e-010 1.83
78 5.1e-007 8.1e-003 3.1e-005 1.00e+000 1.664749420e+002 1.664760929e+002 2.7e-010 1.86
79 4.6e-007 8.1e-003 2.8e-005 1.00e+000 1.664750179e+002 1.664760537e+002 2.5e-010 1.88
80 4.1e-007 8.1e-003 2.5e-005 1.00e+000 1.664750862e+002 1.664760183e+002 2.2e-010 1.91
81 3.7e-007 8.0e-003 2.3e-005 1.00e+000 1.664751476e+002 1.664759865e+002 2.0e-010 1.92
82 3.3e-007 8.0e-003 2.0e-005 1.00e+000 1.664752028e+002 1.664759579e+002 1.8e-010 1.95
83 3.0e-007 8.0e-003 1.8e-005 1.00e+000 1.664752525e+002 1.664759320e+002 1.6e-010 1.97
84 2.7e-007 7.9e-003 1.7e-005 1.00e+000 1.664752972e+002 1.664759088e+002 1.4e-010 2.00
85 2.4e-007 7.9e-003 1.5e-005 1.00e+000 1.664753374e+002 1.664758878e+002 1.3e-010 2.02
86 2.2e-007 7.9e-003 1.3e-005 1.00e+000 1.664753736e+002 1.664758690e+002 1.2e-010 2.03
87 2.0e-007 7.9e-003 1.2e-005 1.00e+000 1.664754061e+002 1.664758520e+002 1.1e-010 2.06
88 1.8e-007 7.9e-003 1.1e-005 1.00e+000 1.664754354e+002 1.664758367e+002 9.5e-011 2.08
89 1.6e-007 7.8e-003 9.8e-006 1.00e+000 1.664754618e+002 1.664758229e+002 8.5e-011 2.11
90 1.4e-007 7.8e-003 8.8e-006 1.00e+000 1.664754855e+002 1.664758105e+002 7.7e-011 2.13
91 1.3e-007 7.8e-003 7.9e-006 1.00e+000 1.664755068e+002 1.664757994e+002 6.9e-011 2.14
92 1.2e-007 7.8e-003 7.1e-006 1.00e+000 1.664755261e+002 1.664757893e+002 6.2e-011 2.17
93 1.0e-007 7.8e-003 6.4e-006 1.00e+000 1.664755433e+002 1.664757803e+002 5.6e-011 2.19
94 9.4e-008 7.8e-003 5.8e-006 1.00e+000 1.664755589e+002 1.664757722e+002 5.0e-011 2.22
95 8.5e-008 7.7e-003 5.2e-006 1.00e+000 1.664755729e+002 1.664757648e+002 4.5e-011 2.23
96 7.6e-008 7.7e-003 4.7e-006 1.00e+000 1.664755855e+002 1.664757582e+002 4.1e-011 2.25
97 6.9e-008 7.7e-003 4.2e-006 9.98e-001 1.664755968e+002 1.664757523e+002 3.7e-011 2.28
98 6.2e-008 7.7e-003 3.8e-006 9.99e-001 1.664756070e+002 1.664757470e+002 3.3e-011 2.30
99 5.6e-008 7.7e-003 3.4e-006 1.00e+000 1.664756162e+002 1.664757421e+002 3.0e-011 2.33
100 5.0e-008 7.7e-003 3.1e-006 1.00e+000 1.664756245e+002 1.664757378e+002 2.7e-011 2.34
101 4.5e-008 7.7e-003 2.8e-006 1.00e+000 1.664756319e+002 1.664757339e+002 2.4e-011 2.38
102 4.1e-008 7.7e-003 2.5e-006 9.99e-001 1.664756386e+002 1.664757304e+002 2.2e-011 2.39
103 3.6e-008 7.6e-003 2.2e-006 9.98e-001 1.664756446e+002 1.664757273e+002 2.0e-011 2.42
104 3.3e-008 7.6e-003 2.0e-006 9.99e-001 1.664756500e+002 1.664757244e+002 1.8e-011 2.44
105 3.0e-008 7.6e-003 1.8e-006 1.00e+000 1.664756549e+002 1.664757219e+002 1.6e-011 2.47
106 2.7e-008 7.6e-003 1.6e-006 9.99e-001 1.664756593e+002 1.664757196e+002 1.4e-011 2.48
107 2.4e-008 7.6e-003 1.5e-006 9.98e-001 1.664756632e+002 1.664757175e+002 1.3e-011 2.52
108 2.2e-008 6.8e-003 1.3e-006 1.00e+000 1.664756669e+002 1.664757156e+002 1.2e-011 2.53
109 1.9e-008 6.1e-003 1.2e-006 9.96e-001 1.664756700e+002 1.664757139e+002 1.0e-011 2.56
110 1.8e-008 5.5e-003 1.1e-006 1.01e+000 1.664756730e+002 1.664757123e+002 9.4e-012 2.58
111 1.6e-008 5.0e-003 9.6e-007 9.96e-001 1.664756756e+002 1.664757110e+002 8.5e-012 2.61
112 1.4e-008 4.5e-003 8.7e-007 1.00e+000 1.664756779e+002 1.664757098e+002 7.6e-012 2.63
113 1.3e-008 4.0e-003 7.8e-007 1.00e+000 1.664756800e+002 1.664757087e+002 6.9e-012 2.66
114 1.2e-008 3.6e-003 7.0e-007 1.01e+000 1.664756820e+002 1.664757076e+002 6.2e-012 2.67
115 1.1e-008 3.3e-003 6.3e-007 1.01e+000 1.664756838e+002 1.664757066e+002 5.6e-012 2.70
116 9.5e-009 2.9e-003 5.7e-007 1.00e+000 1.664756853e+002 1.664757057e+002 5.0e-012 2.72
117 2.7e-009 3.0e-004 5.8e-008 9.93e-001 1.664756974e+002 1.664756995e+002 5.3e-013 2.75
Interior-point optimizer terminated. Time: 2.75.
Optimizer terminated. Time: 2.77
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569744e+002 nrm: 2e+001 Viol. con: 7e-008 var: 0e+000
Dual. obj: 1.6647569954e+002 nrm: 1e+003 Viol. con: 0e+000 var: 2e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.8 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 471
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 870
Optimizer - Cones : 0
Optimizer - Scalar variables : 3453 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.48e+004 after factor : 1.47e+005
Factor - dense dim. : 0 flops : 2.89e+007
Factor - GP saved nzs : 3.32e+004 GP saved flops : 9.06e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.222123631e+005 2.000000000e+000 1.0e+000 0.06
1 1.7e+003 2.2e+003 8.8e+004 -9.71e-001 -1.214682219e+005 2.621415548e+000 7.2e-001 0.08
2 8.7e+002 1.2e+003 4.7e+004 -9.59e-001 -1.191647335e+005 4.623440304e+000 3.8e-001 0.11
3 2.9e+002 3.8e+002 1.5e+004 -9.21e-001 -1.101037963e+005 2.013991935e+001 1.3e-001 0.13
4 2.9e+002 3.8e+002 1.5e+004 -7.69e-001 -1.078923757e+005 1.958151072e+003 1.3e-001 0.16
5 1.2e+002 1.5e+002 6.2e+003 -7.59e-001 -8.630971618e+004 6.301572746e+003 5.2e-002 0.17
6 2.8e+001 3.7e+001 1.5e+003 -4.39e-001 -3.492611673e+004 1.229725946e+004 1.2e-002 0.20
7 1.8e+001 2.4e+001 9.8e+002 4.55e-001 -2.548393674e+004 7.216508870e+003 8.1e-003 0.22
8 1.0e+001 1.4e+001 5.5e+002 6.39e-001 -1.544228746e+004 4.340977769e+003 4.6e-003 0.25
9 4.1e+000 5.4e+000 2.2e+002 8.09e-001 -6.282618875e+003 1.997763249e+003 1.8e-003 0.27
10 2.1e+000 2.8e+000 1.1e+002 9.45e-001 -3.056142662e+003 1.213484155e+003 9.4e-004 0.30
11 8.8e-001 1.2e+000 4.8e+001 9.86e-001 -1.181195182e+003 6.551469962e+002 4.0e-004 0.31
12 8.4e-001 1.1e+000 4.6e+001 9.63e-001 -1.150216358e+003 6.236806040e+002 3.8e-004 0.34
13 5.4e-001 7.1e-001 2.9e+001 9.72e-001 -6.970086075e+002 4.450833278e+002 2.5e-004 0.36
14 3.6e-001 4.8e-001 1.9e+001 1.00e+000 -3.879629390e+002 3.654628760e+002 1.6e-004 0.39
15 1.2e-001 1.9e-001 6.9e+000 9.97e-001 -4.395156411e+001 2.233187142e+002 5.9e-005 0.41
16 8.0e-002 1.3e-001 4.5e+000 1.02e+000 2.985138016e+001 2.012752456e+002 3.8e-005 0.44
17 5.6e-002 8.7e-002 3.1e+000 1.02e+000 7.434142832e+001 1.934294465e+002 2.7e-005 0.45
18 1.4e-002 1.6e-001 7.8e-001 1.02e+000 1.446084738e+002 1.739074334e+002 6.6e-006 0.48
19 5.3e-003 1.9e-001 3.0e-001 1.00e+000 1.580769952e+002 1.693860509e+002 2.5e-006 0.50
20 2.1e-003 2.4e-001 1.2e-001 1.01e+000 1.630566891e+002 1.676367200e+002 1.0e-006 0.52
21 8.4e-004 1.3e-001 5.0e-002 1.00e+000 1.651006976e+002 1.669759992e+002 4.3e-007 0.55
22 2.8e-004 1.1e-001 1.7e-002 1.01e+000 1.659965523e+002 1.666301312e+002 1.5e-007 0.56
23 1.2e-004 9.4e-002 7.4e-003 1.01e+000 1.662528679e+002 1.665270457e+002 6.5e-008 0.59
24 1.1e-004 8.6e-002 6.6e-003 1.01e+000 1.662737316e+002 1.665204415e+002 5.8e-008 0.61
25 9.7e-005 7.8e-002 6.0e-003 1.01e+000 1.662908796e+002 1.665128336e+002 5.2e-008 0.64
26 8.7e-005 7.1e-002 5.4e-003 1.01e+000 1.663064187e+002 1.665061209e+002 4.7e-008 0.66
27 7.9e-005 6.5e-002 4.8e-003 1.01e+000 1.663203315e+002 1.665000172e+002 4.2e-008 0.69
28 7.1e-005 5.9e-002 4.4e-003 1.01e+000 1.663328210e+002 1.664945006e+002 3.8e-008 0.70
29 6.4e-005 5.4e-002 3.9e-003 1.01e+000 1.663440283e+002 1.664895093e+002 3.4e-008 0.73
30 5.7e-005 4.9e-002 3.5e-003 1.01e+000 1.663540869e+002 1.664849947e+002 3.1e-008 0.75
31 5.2e-005 4.5e-002 3.2e-003 1.01e+000 1.663631152e+002 1.664809117e+002 2.8e-008 0.78
32 4.6e-005 4.1e-002 2.9e-003 1.00e+000 1.663712198e+002 1.664772198e+002 2.5e-008 0.80
33 4.2e-005 3.8e-002 2.6e-003 1.00e+000 1.663784959e+002 1.664738821e+002 2.3e-008 0.83
34 3.8e-005 3.5e-002 2.3e-003 1.00e+000 1.663850289e+002 1.664708653e+002 2.0e-008 0.84
35 3.4e-005 3.2e-002 2.1e-003 1.00e+000 1.663908954e+002 1.664681389e+002 1.8e-008 0.86
36 3.0e-005 3.0e-002 1.9e-003 1.00e+000 1.663961638e+002 1.664656755e+002 1.6e-008 0.89
37 2.7e-005 2.8e-002 1.7e-003 1.00e+000 1.664008955e+002 1.664634499e+002 1.5e-008 0.91
38 2.5e-005 2.6e-002 1.5e-003 1.00e+000 1.664051455e+002 1.664614395e+002 1.3e-008 0.94
39 2.2e-005 2.4e-002 1.4e-003 1.00e+000 1.664089632e+002 1.664596237e+002 1.2e-008 0.95
40 2.0e-005 2.2e-002 1.2e-003 1.00e+000 1.664123927e+002 1.664579838e+002 1.1e-008 0.98
41 1.8e-005 2.1e-002 1.1e-003 1.00e+000 1.664154738e+002 1.664565031e+002 9.7e-009 1.00
42 1.6e-005 1.9e-002 1.0e-003 1.00e+000 1.664182420e+002 1.664551661e+002 8.8e-009 1.03
43 1.5e-005 1.8e-002 9.0e-004 1.00e+000 1.664207292e+002 1.664539592e+002 7.9e-009 1.05
44 1.3e-005 1.7e-002 8.1e-004 1.00e+000 1.664229643e+002 1.664528698e+002 7.1e-009 1.08
45 1.2e-005 1.6e-002 7.3e-004 1.00e+000 1.664249727e+002 1.664518866e+002 6.4e-009 1.09
46 1.1e-005 1.5e-002 6.5e-004 1.00e+000 1.664267778e+002 1.664509993e+002 5.7e-009 1.11
47 9.6e-006 1.5e-002 5.9e-004 1.00e+000 1.664284001e+002 1.664501987e+002 5.2e-009 1.14
48 8.6e-006 1.4e-002 5.3e-004 1.00e+000 1.664298583e+002 1.664494765e+002 4.7e-009 1.16
49 7.7e-006 1.3e-002 4.8e-004 1.00e+000 1.664311691e+002 1.664488249e+002 4.2e-009 1.19
50 7.0e-006 1.3e-002 4.3e-004 1.00e+000 1.664323474e+002 1.664482373e+002 3.8e-009 1.20
51 6.3e-006 1.2e-002 3.9e-004 1.00e+000 1.664334067e+002 1.664477073e+002 3.4e-009 1.24
52 5.6e-006 1.2e-002 3.5e-004 1.00e+000 1.664343591e+002 1.664472294e+002 3.1e-009 1.25
53 5.1e-006 1.2e-002 3.1e-004 1.00e+000 1.664352154e+002 1.664467985e+002 2.8e-009 1.28
54 4.6e-006 1.1e-002 2.8e-004 1.00e+000 1.664359853e+002 1.664464099e+002 2.5e-009 1.30
55 4.1e-006 1.1e-002 2.5e-004 1.00e+000 1.664366775e+002 1.664460596e+002 2.2e-009 1.31
56 3.7e-006 1.1e-002 2.3e-004 1.00e+000 1.664372999e+002 1.664457438e+002 2.0e-009 1.34
57 3.3e-006 1.0e-002 2.1e-004 1.00e+000 1.664378596e+002 1.664454590e+002 1.8e-009 1.36
58 3.0e-006 1.0e-002 1.8e-004 1.00e+000 1.664383629e+002 1.664452022e+002 1.6e-009 1.39
59 2.7e-006 9.8e-003 1.7e-004 1.00e+000 1.664388154e+002 1.664449708e+002 1.5e-009 1.41
60 2.4e-006 9.6e-003 1.5e-004 1.00e+000 1.664392225e+002 1.664447623e+002 1.3e-009 1.44
61 2.2e-006 9.5e-003 1.3e-004 1.00e+000 1.664395886e+002 1.664445745e+002 1.2e-009 1.45
62 2.0e-006 9.3e-003 1.2e-004 1.00e+000 1.664399179e+002 1.664444052e+002 1.1e-009 1.47
63 1.8e-006 9.2e-003 1.1e-004 1.00e+000 1.664402142e+002 1.664442527e+002 9.6e-010 1.50
64 1.6e-006 9.0e-003 9.8e-005 1.00e+000 1.664404807e+002 1.664441154e+002 8.6e-010 1.52
65 1.4e-006 8.9e-003 8.8e-005 1.00e+000 1.664407205e+002 1.664439917e+002 7.8e-010 1.55
66 1.3e-006 8.8e-003 8.0e-005 1.00e+000 1.664409362e+002 1.664438803e+002 7.0e-010 1.58
67 1.2e-006 8.7e-003 7.2e-005 1.00e+000 1.664411303e+002 1.664437800e+002 6.3e-010 1.61
68 1.0e-006 8.6e-003 6.5e-005 1.00e+000 1.664413049e+002 1.664436896e+002 5.7e-010 1.63
69 9.4e-007 8.5e-003 5.8e-005 1.00e+000 1.664414620e+002 1.664436082e+002 5.1e-010 1.66
70 8.5e-007 8.5e-003 5.2e-005 1.00e+000 1.664416033e+002 1.664435349e+002 4.6e-010 1.67
71 7.6e-007 8.4e-003 4.7e-005 1.00e+000 1.664417304e+002 1.664434689e+002 4.1e-010 1.70
72 6.9e-007 8.3e-003 4.2e-005 1.00e+000 1.664418447e+002 1.664434094e+002 3.7e-010 1.72
73 6.2e-007 8.3e-003 3.8e-005 1.00e+000 1.664419476e+002 1.664433558e+002 3.3e-010 1.75
74 5.6e-007 8.2e-003 3.4e-005 1.00e+000 1.664420402e+002 1.664433076e+002 3.0e-010 1.77
75 5.0e-007 8.2e-003 3.1e-005 1.00e+000 1.664421234e+002 1.664432641e+002 2.7e-010 1.80
76 4.5e-007 8.1e-003 2.8e-005 1.00e+000 1.664421983e+002 1.664432249e+002 2.4e-010 1.81
77 4.1e-007 8.1e-003 2.5e-005 1.00e+000 1.664422657e+002 1.664431896e+002 2.2e-010 1.84
78 3.7e-007 8.0e-003 2.2e-005 1.00e+000 1.664423263e+002 1.664431578e+002 2.0e-010 1.86
79 3.3e-007 8.0e-003 2.0e-005 1.00e+000 1.664423808e+002 1.664431292e+002 1.8e-010 1.89
80 3.0e-007 8.0e-003 1.8e-005 1.00e+000 1.664424299e+002 1.664431035e+002 1.6e-010 1.91
81 2.7e-007 7.9e-003 1.6e-005 1.00e+000 1.664424740e+002 1.664430803e+002 1.4e-010 1.94
82 2.4e-007 7.9e-003 1.5e-005 1.00e+000 1.664425138e+002 1.664430594e+002 1.3e-010 1.95
83 2.2e-007 7.9e-003 1.3e-005 1.00e+000 1.664425495e+002 1.664430406e+002 1.2e-010 1.97
84 1.9e-007 7.9e-003 1.2e-005 1.00e+000 1.664425817e+002 1.664430237e+002 1.1e-010 2.00
85 1.7e-007 7.8e-003 1.1e-005 1.00e+000 1.664426107e+002 1.664430084e+002 9.5e-011 2.02
86 1.6e-007 7.8e-003 9.7e-006 1.00e+000 1.664426367e+002 1.664429947e+002 8.5e-011 2.05
87 1.4e-007 7.8e-003 8.7e-006 1.00e+000 1.664426602e+002 1.664429824e+002 7.7e-011 2.06
88 1.3e-007 7.8e-003 7.8e-006 1.00e+000 1.664426813e+002 1.664429713e+002 6.9e-011 2.09
89 1.1e-007 7.8e-003 7.1e-006 1.00e+000 1.664427003e+002 1.664429613e+002 6.2e-011 2.11
90 1.0e-007 7.7e-003 6.4e-006 1.00e+000 1.664427174e+002 1.664429523e+002 5.6e-011 2.14
91 9.3e-008 7.7e-003 5.7e-006 1.00e+000 1.664427328e+002 1.664429442e+002 5.0e-011 2.16
92 8.3e-008 7.7e-003 5.1e-006 1.00e+000 1.664427467e+002 1.664429370e+002 4.5e-011 2.17
93 7.5e-008 7.7e-003 4.6e-006 1.00e+000 1.664427591e+002 1.664429304e+002 4.1e-011 2.20
94 6.8e-008 7.7e-003 4.2e-006 1.00e+000 1.664427704e+002 1.664429245e+002 3.7e-011 2.22
95 6.1e-008 7.7e-003 3.8e-006 9.99e-001 1.664427805e+002 1.664429192e+002 3.3e-011 2.25
96 5.5e-008 7.7e-003 3.4e-006 9.99e-001 1.664427896e+002 1.664429144e+002 3.0e-011 2.27
97 4.9e-008 7.7e-003 3.0e-006 1.00e+000 1.664427978e+002 1.664429101e+002 2.7e-011 2.30
98 4.4e-008 7.6e-003 2.7e-006 1.00e+000 1.664428051e+002 1.664429063e+002 2.4e-011 2.31
99 4.0e-008 7.6e-003 2.5e-006 1.00e+000 1.664428118e+002 1.664429028e+002 2.2e-011 2.33
100 3.6e-008 7.6e-003 2.2e-006 1.00e+000 1.664428177e+002 1.664428996e+002 1.9e-011 2.36
101 3.2e-008 7.6e-003 2.0e-006 9.98e-001 1.664428231e+002 1.664428968e+002 1.8e-011 2.38
102 2.9e-008 6.8e-003 1.8e-006 1.00e+000 1.664428279e+002 1.664428942e+002 1.6e-011 2.41
103 2.6e-008 6.2e-003 1.6e-006 9.99e-001 1.664428323e+002 1.664428920e+002 1.4e-011 2.42
104 2.4e-008 5.5e-003 1.5e-006 1.00e+000 1.664428362e+002 1.664428899e+002 1.3e-011 2.45
105 2.1e-008 5.0e-003 1.3e-006 1.00e+000 1.664428397e+002 1.664428881e+002 1.2e-011 2.47
106 1.9e-008 4.5e-003 1.2e-006 9.99e-001 1.664428429e+002 1.664428864e+002 1.0e-011 2.48
107 1.7e-008 4.0e-003 1.1e-006 1.00e+000 1.664428457e+002 1.664428849e+002 9.3e-012 2.52
108 1.6e-008 3.6e-003 9.5e-007 1.00e+000 1.664428483e+002 1.664428835e+002 8.4e-012 2.53
109 1.4e-008 3.3e-003 8.6e-007 9.98e-001 1.664428506e+002 1.664428823e+002 7.5e-012 2.56
110 1.3e-008 2.9e-003 7.7e-007 9.93e-001 1.664428527e+002 1.664428812e+002 6.8e-012 2.58
111 1.1e-008 2.7e-003 7.0e-007 1.01e+000 1.664428546e+002 1.664428802e+002 6.1e-012 2.59
112 1.0e-008 2.4e-003 6.3e-007 1.00e+000 1.664428563e+002 1.664428794e+002 5.5e-012 2.63
113 9.1e-009 2.1e-003 5.6e-007 9.88e-001 1.664428578e+002 1.664428786e+002 5.0e-012 2.64
114 8.3e-009 1.9e-003 5.1e-007 1.03e+000 1.664428594e+002 1.664428777e+002 4.5e-012 2.67
115 7.5e-009 1.7e-003 4.6e-007 1.01e+000 1.664428606e+002 1.664428771e+002 4.1e-012 2.69
116 6.8e-009 1.6e-003 4.1e-007 1.01e+000 1.664428617e+002 1.664428765e+002 3.7e-012 2.72
117 8.2e-009 1.4e-003 3.7e-007 9.96e-001 1.664428627e+002 1.664428760e+002 3.3e-012 2.73
118 6.3e-009 1.3e-003 3.3e-007 9.81e-001 1.664428635e+002 1.664428757e+002 3.0e-012 2.77
119 8.5e-009 1.1e-003 3.0e-007 8.86e-001 1.664428642e+002 1.664428757e+002 2.7e-012 2.78
120 3.0e-008 1.0e-003 2.7e-007 4.72e+000 1.664428648e+002 1.664428762e+002 2.4e-012 2.80
121 2.4e-008 9.3e-004 2.4e-007 8.93e-001 1.664428654e+002 1.664428765e+002 2.2e-012 2.83
122 2.1e-008 8.4e-004 2.2e-007 9.87e-001 1.664428660e+002 1.664428763e+002 2.0e-012 2.84
123 1.9e-008 7.5e-004 2.0e-007 1.00e+000 1.664428665e+002 1.664428758e+002 1.8e-012 2.88
124 8.0e-008 7.0e-004 1.8e-007 9.59e-001 1.664428669e+002 1.664428743e+002 1.6e-012 2.89
125 7.3e-008 6.3e-004 1.6e-007 9.87e-001 1.664428673e+002 1.664428740e+002 1.4e-012 2.92
126 6.5e-008 5.6e-004 1.5e-007 9.77e-001 1.664428677e+002 1.664428738e+002 1.3e-012 2.94
127 5.9e-008 5.1e-004 1.3e-007 9.92e-001 1.664428681e+002 1.664428735e+002 1.2e-012 2.97
128 5.3e-008 4.6e-004 1.2e-007 9.56e-001 1.664428684e+002 1.664428733e+002 1.0e-012 2.98
129 4.8e-008 4.1e-004 1.1e-007 9.93e-001 1.664428687e+002 1.664428731e+002 9.4e-013 3.00
Interior-point optimizer terminated. Time: 3.02.
Optimizer terminated. Time: 3.03
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286872e+002 nrm: 2e+001 Viol. con: 1e-006 var: 0e+000
Dual. obj: 1.6644287314e+002 nrm: 1e+003 Viol. con: 0e+000 var: 3e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.05 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 471
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 870
Optimizer - Cones : 0
Optimizer - Scalar variables : 3453 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.06 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.05
Factor - nonzeros before factor : 1.48e+004 after factor : 1.47e+005
Factor - dense dim. : 0 flops : 2.89e+007
Factor - GP saved nzs : 3.32e+004 GP saved flops : 9.06e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.222116609e+005 2.000000000e+000 1.0e+000 0.09
1 1.7e+003 2.2e+003 8.8e+004 -9.71e-001 -1.214675652e+005 2.621160176e+000 7.2e-001 0.13
2 8.7e+002 1.2e+003 4.7e+004 -9.59e-001 -1.191638444e+005 4.622536072e+000 3.8e-001 0.14
3 2.9e+002 3.8e+002 1.5e+004 -9.21e-001 -1.100828575e+005 2.015276023e+001 1.3e-001 0.17
4 2.8e+002 3.8e+002 1.5e+004 -7.68e-001 -1.078685042e+005 1.962375391e+003 1.3e-001 0.20
5 1.2e+002 1.5e+002 6.2e+003 -7.59e-001 -8.628852702e+004 6.284974452e+003 5.1e-002 0.22
6 2.6e+001 3.5e+001 1.4e+003 -4.38e-001 -3.277713115e+004 1.252867417e+004 1.2e-002 0.25
7 1.7e+001 2.3e+001 9.2e+002 4.96e-001 -2.417021116e+004 7.054859359e+003 7.6e-003 0.27
8 1.0e+001 1.4e+001 5.5e+002 6.62e-001 -1.523959566e+004 4.371470581e+003 4.5e-003 0.28
9 4.1e+000 5.4e+000 2.2e+002 8.12e-001 -6.295564733e+003 2.007176307e+003 1.8e-003 0.30
10 2.1e+000 2.8e+000 1.1e+002 9.44e-001 -3.085063934e+003 1.208148796e+003 9.4e-004 0.33
11 8.5e-001 1.1e+000 4.6e+001 9.85e-001 -1.138485055e+003 6.392875647e+002 3.9e-004 0.34
12 8.3e-001 1.1e+000 4.5e+001 9.54e-001 -1.127974063e+003 6.137246114e+002 3.8e-004 0.36
13 5.3e-001 7.0e-001 2.9e+001 9.70e-001 -6.831007882e+002 4.399018478e+002 2.4e-004 0.39
14 3.5e-001 4.7e-001 1.9e+001 1.00e+000 -3.741645029e+002 3.597468492e+002 1.6e-004 0.41
15 1.1e-001 1.8e-001 6.3e+000 9.97e-001 -2.734678863e+001 2.170570107e+002 5.4e-005 0.42
16 8.5e-002 1.4e-001 4.7e+000 1.02e+000 2.373021044e+001 2.051007702e+002 4.0e-005 0.44
17 4.6e-002 8.1e-002 2.6e+000 1.02e+000 9.157529602e+001 1.887679090e+002 2.2e-005 0.47
18 1.5e-002 8.5e-002 8.7e-001 1.02e+000 1.419709537e+002 1.746774650e+002 7.3e-006 0.48
19 7.6e-003 7.3e-002 4.3e-001 1.01e+000 1.541223306e+002 1.701620930e+002 3.6e-006 0.52
20 1.7e-003 1.7e-001 1.0e-001 1.01e+000 1.636745322e+002 1.675279443e+002 8.7e-007 0.53
21 1.1e-003 1.2e-001 6.4e-002 9.78e-001 1.647246484e+002 1.670996376e+002 5.4e-007 0.55
22 3.6e-004 1.2e-001 2.3e-002 9.87e-001 1.658339199e+002 1.666857627e+002 1.9e-007 0.58
23 1.5e-004 1.0e-001 9.7e-003 1.00e+000 1.661720119e+002 1.665344483e+002 8.4e-008 0.59
24 5.9e-005 9.2e-002 3.8e-003 1.01e+000 1.663243007e+002 1.664664877e+002 3.3e-008 0.63
25 2.9e-005 7.9e-002 1.9e-003 1.01e+000 1.663745492e+002 1.664438954e+002 1.6e-008 0.64
26 2.6e-005 7.2e-002 1.7e-003 1.01e+000 1.663801383e+002 1.664425947e+002 1.5e-008 0.67
27 2.3e-005 6.6e-002 1.5e-003 1.01e+000 1.663842917e+002 1.664404814e+002 1.3e-008 0.69
28 2.1e-005 6.0e-002 1.4e-003 1.01e+000 1.663881204e+002 1.664386817e+002 1.2e-008 0.72
29 1.9e-005 5.5e-002 1.2e-003 1.01e+000 1.663915467e+002 1.664370430e+002 1.1e-008 0.73
30 1.7e-005 5.0e-002 1.1e-003 1.00e+000 1.663946272e+002 1.664355668e+002 9.7e-009 0.75
31 1.5e-005 4.6e-002 9.9e-004 1.00e+000 1.663973944e+002 1.664342343e+002 8.7e-009 0.78
32 1.4e-005 4.2e-002 8.9e-004 1.00e+000 1.663998808e+002 1.664330321e+002 7.8e-009 0.80
33 1.2e-005 3.9e-002 8.0e-004 1.00e+000 1.664021151e+002 1.664319476e+002 7.0e-009 0.83
34 1.1e-005 3.6e-002 7.2e-004 1.00e+000 1.664041229e+002 1.664309692e+002 6.3e-009 0.84
35 1.0e-005 3.3e-002 6.5e-004 1.00e+000 1.664059275e+002 1.664300868e+002 5.7e-009 0.86
36 9.1e-006 3.0e-002 5.9e-004 1.00e+000 1.664075494e+002 1.664292910e+002 5.1e-009 0.89
37 8.2e-006 2.8e-002 5.3e-004 1.00e+000 1.664090074e+002 1.664285734e+002 4.6e-009 0.91
38 7.4e-006 2.6e-002 4.7e-004 1.00e+000 1.664103181e+002 1.664279263e+002 4.2e-009 0.94
39 6.6e-006 2.4e-002 4.3e-004 1.00e+000 1.664114964e+002 1.664273430e+002 3.7e-009 0.95
40 6.0e-006 2.3e-002 3.8e-004 1.00e+000 1.664125559e+002 1.664268171e+002 3.4e-009 0.97
41 5.4e-006 2.1e-002 3.5e-004 1.00e+000 1.664135085e+002 1.664263432e+002 3.0e-009 1.00
42 4.8e-006 2.0e-002 3.1e-004 1.00e+000 1.664143651e+002 1.664259160e+002 2.7e-009 1.01
43 4.3e-006 1.9e-002 2.8e-004 1.00e+000 1.664151354e+002 1.664255310e+002 2.5e-009 1.03
44 3.9e-006 1.8e-002 2.5e-004 1.00e+000 1.664158282e+002 1.664251840e+002 2.2e-009 1.06
45 3.5e-006 1.7e-002 2.3e-004 1.00e+000 1.664164512e+002 1.664248713e+002 2.0e-009 1.08
46 3.2e-006 1.6e-002 2.0e-004 1.00e+000 1.664170114e+002 1.664245895e+002 1.8e-009 1.09
47 2.8e-006 1.5e-002 1.8e-004 1.00e+000 1.664175153e+002 1.664243356e+002 1.6e-009 1.13
48 2.6e-006 1.4e-002 1.7e-004 1.00e+000 1.664179685e+002 1.664241068e+002 1.5e-009 1.14
49 2.3e-006 1.4e-002 1.5e-004 1.00e+000 1.664183762e+002 1.664239006e+002 1.3e-009 1.16
50 2.1e-006 1.3e-002 1.3e-004 1.00e+000 1.664187430e+002 1.664237150e+002 1.2e-009 1.19
51 1.9e-006 1.3e-002 1.2e-004 1.00e+000 1.664190730e+002 1.664235478e+002 1.1e-009 1.20
52 1.7e-006 1.2e-002 1.1e-004 1.00e+000 1.664193698e+002 1.664233972e+002 9.5e-010 1.22
53 1.5e-006 1.2e-002 9.8e-005 1.00e+000 1.664196370e+002 1.664232616e+002 8.6e-010 1.25
54 1.4e-006 1.1e-002 8.8e-005 1.00e+000 1.664198773e+002 1.664231395e+002 7.7e-010 1.26
55 1.2e-006 1.1e-002 7.9e-005 1.00e+000 1.664200935e+002 1.664230296e+002 6.9e-010 1.28
56 1.1e-006 1.1e-002 7.1e-005 1.00e+000 1.664202881e+002 1.664229305e+002 6.3e-010 1.30
57 9.9e-007 1.0e-002 6.4e-005 1.00e+000 1.664204631e+002 1.664228414e+002 5.6e-010 1.33
58 8.9e-007 1.0e-002 5.8e-005 1.00e+000 1.664206206e+002 1.664227611e+002 5.1e-010 1.34
59 8.0e-007 9.9e-003 5.2e-005 1.00e+000 1.664207623e+002 1.664226887e+002 4.6e-010 1.36
60 7.2e-007 9.7e-003 4.7e-005 1.00e+000 1.664208898e+002 1.664226236e+002 4.1e-010 1.39
61 6.5e-007 9.5e-003 4.2e-005 1.00e+000 1.664210045e+002 1.664225649e+002 3.7e-010 1.41
62 5.9e-007 9.3e-003 3.8e-005 1.00e+000 1.664211077e+002 1.664225121e+002 3.3e-010 1.44
63 5.3e-007 9.2e-003 3.4e-005 1.00e+000 1.664212005e+002 1.664224645e+002 3.0e-010 1.45
64 4.8e-007 9.0e-003 3.1e-005 1.00e+000 1.664212840e+002 1.664224216e+002 2.7e-010 1.47
65 4.3e-007 8.9e-003 2.8e-005 1.00e+000 1.664213591e+002 1.664223830e+002 2.4e-010 1.50
66 3.9e-007 8.8e-003 2.5e-005 1.00e+000 1.664214267e+002 1.664223482e+002 2.2e-010 1.51
67 3.5e-007 8.7e-003 2.2e-005 1.00e+000 1.664214875e+002 1.664223168e+002 2.0e-010 1.55
68 3.1e-007 8.6e-003 2.0e-005 1.00e+000 1.664215422e+002 1.664222886e+002 1.8e-010 1.56
69 2.8e-007 8.5e-003 1.8e-005 1.00e+000 1.664215914e+002 1.664222632e+002 1.6e-010 1.59
70 2.5e-007 8.4e-003 1.6e-005 1.00e+000 1.664216357e+002 1.664222403e+002 1.4e-010 1.63
71 2.3e-007 8.4e-003 1.5e-005 1.00e+000 1.664216755e+002 1.664222197e+002 1.3e-010 1.64
72 2.0e-007 8.3e-003 1.3e-005 1.00e+000 1.664217114e+002 1.664222011e+002 1.2e-010 1.67
73 1.8e-007 8.2e-003 1.2e-005 1.00e+000 1.664217436e+002 1.664221844e+002 1.0e-010 1.69
74 1.7e-007 8.2e-003 1.1e-005 1.00e+000 1.664217726e+002 1.664221694e+002 9.4e-011 1.72
75 1.5e-007 8.1e-003 9.6e-006 1.00e+000 1.664217988e+002 1.664221558e+002 8.5e-011 1.73
76 1.3e-007 8.1e-003 8.7e-006 1.00e+000 1.664218223e+002 1.664221437e+002 7.6e-011 1.75
77 1.2e-007 8.0e-003 7.8e-006 1.00e+000 1.664218434e+002 1.664221327e+002 6.8e-011 1.78
78 1.1e-007 8.0e-003 7.0e-006 1.00e+000 1.664218625e+002 1.664221228e+002 6.2e-011 1.80
79 9.8e-008 8.0e-003 6.3e-006 1.00e+000 1.664218796e+002 1.664221139e+002 5.5e-011 1.83
80 8.8e-008 7.9e-003 5.7e-006 1.00e+000 1.664218951e+002 1.664221059e+002 5.0e-011 1.84
81 7.9e-008 7.9e-003 5.1e-006 9.99e-001 1.664219089e+002 1.664220987e+002 4.5e-011 1.88
82 7.1e-008 7.9e-003 4.6e-006 1.00e+000 1.664219214e+002 1.664220922e+002 4.0e-011 1.89
83 6.4e-008 7.9e-003 4.1e-006 1.00e+000 1.664219327e+002 1.664220864e+002 3.6e-011 1.91
84 5.8e-008 7.8e-003 3.7e-006 1.00e+000 1.664219428e+002 1.664220811e+002 3.3e-011 1.94
85 5.2e-008 7.8e-003 3.4e-006 1.00e+000 1.664219519e+002 1.664220764e+002 2.9e-011 1.95
86 4.7e-008 7.8e-003 3.0e-006 9.99e-001 1.664219601e+002 1.664220721e+002 2.7e-011 1.98
87 4.5e-008 7.0e-003 2.7e-006 1.00e+000 1.664219675e+002 1.664220682e+002 2.4e-011 2.00
88 3.9e-008 6.3e-003 2.4e-006 1.00e+000 1.664219741e+002 1.664220648e+002 2.1e-011 2.02
89 3.5e-008 5.7e-003 2.2e-006 1.00e+000 1.664219801e+002 1.664220617e+002 1.9e-011 2.05
90 3.2e-008 5.1e-003 2.0e-006 9.98e-001 1.664219854e+002 1.664220589e+002 1.7e-011 2.06
91 2.9e-008 4.6e-003 1.8e-006 9.99e-001 1.664219903e+002 1.664220564e+002 1.6e-011 2.08
92 2.6e-008 4.1e-003 1.6e-006 9.97e-001 1.664219946e+002 1.664220542e+002 1.4e-011 2.11
93 2.3e-008 3.7e-003 1.4e-006 1.00e+000 1.664219986e+002 1.664220521e+002 1.3e-011 2.13
94 2.1e-008 3.3e-003 1.3e-006 1.00e+000 1.664220021e+002 1.664220503e+002 1.1e-011 2.16
95 1.9e-008 3.0e-003 1.2e-006 9.98e-001 1.664220053e+002 1.664220486e+002 1.0e-011 2.17
96 1.7e-008 2.7e-003 1.1e-006 1.00e+000 1.664220081e+002 1.664220471e+002 9.3e-012 2.20
97 1.5e-008 2.4e-003 9.5e-007 1.00e+000 1.664220107e+002 1.664220458e+002 8.3e-012 2.22
98 1.4e-008 2.2e-003 8.5e-007 1.00e+000 1.664220130e+002 1.664220446e+002 7.5e-012 2.23
99 1.2e-008 2.0e-003 7.7e-007 1.01e+000 1.664220152e+002 1.664220435e+002 6.8e-012 2.27
100 1.1e-008 1.8e-003 6.9e-007 1.00e+000 1.664220170e+002 1.664220425e+002 6.1e-012 2.28
101 9.9e-009 1.6e-003 6.2e-007 9.98e-001 1.664220187e+002 1.664220416e+002 5.5e-012 2.31
102 8.9e-009 1.4e-003 5.6e-007 9.97e-001 1.664220202e+002 1.664220408e+002 4.9e-012 2.33
103 8.1e-009 1.3e-003 5.0e-007 9.99e-001 1.664220216e+002 1.664220401e+002 4.4e-012 2.36
104 7.3e-009 1.2e-003 4.5e-007 9.95e-001 1.664220228e+002 1.664220395e+002 4.0e-012 2.38
105 6.5e-009 1.1e-003 4.1e-007 1.00e+000 1.664220239e+002 1.664220389e+002 3.6e-012 2.41
106 5.9e-009 9.5e-004 3.7e-007 1.00e+000 1.664220249e+002 1.664220384e+002 3.2e-012 2.42
107 5.3e-009 8.5e-004 3.3e-007 1.00e+000 1.664220258e+002 1.664220380e+002 2.9e-012 2.45
108 4.8e-009 7.7e-004 3.0e-007 1.00e+000 1.664220266e+002 1.664220375e+002 2.6e-012 2.47
109 2.8e-008 6.9e-004 2.7e-007 1.04e+000 1.664220274e+002 1.664220370e+002 2.4e-012 2.48
110 2.5e-008 6.2e-004 2.4e-007 1.00e+000 1.664220281e+002 1.664220368e+002 2.2e-012 2.52
111 2.1e-008 5.6e-004 2.2e-007 9.99e-001 1.664220286e+002 1.664220365e+002 1.9e-012 2.53
112 2.6e-005 5.0e-004 2.0e-007 -3.46e+000 1.664220286e+002 1.664220382e+002 1.7e-012 2.56
113 2.5e-005 4.9e-004 1.9e-007 9.66e-001 1.664220288e+002 1.664220456e+002 1.3e-012 2.58
114 2.2e-005 4.4e-004 1.7e-007 9.99e-001 1.664220326e+002 1.664220539e+002 1.1e-012 2.61
115 2.0e-005 3.9e-004 1.5e-007 1.01e+000 1.664220325e+002 1.664220514e+002 9.9e-013 2.63
Interior-point optimizer terminated. Time: 2.63.
Optimizer terminated. Time: 2.64
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203251e+002 nrm: 2e+001 Viol. con: 2e-003 var: 0e+000
Dual. obj: 1.6642205142e+002 nrm: 1e+003 Viol. con: 0e+000 var: 9e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.67 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 471
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 870
Optimizer - Cones : 0
Optimizer - Scalar variables : 3453 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.06 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.05
Factor - nonzeros before factor : 1.48e+004 after factor : 1.47e+005
Factor - dense dim. : 0 flops : 2.89e+007
Factor - GP saved nzs : 3.32e+004 GP saved flops : 9.06e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.222107726e+005 2.000000000e+000 1.0e+000 0.09
1 1.7e+003 2.2e+003 8.8e+004 -9.71e-001 -1.214665807e+005 2.621211724e+000 7.2e-001 0.13
2 8.7e+002 1.2e+003 4.7e+004 -9.59e-001 -1.191609265e+005 4.623830382e+000 3.8e-001 0.16
3 2.9e+002 3.8e+002 1.5e+004 -9.21e-001 -1.100676265e+005 2.016523942e+001 1.3e-001 0.17
4 2.8e+002 3.8e+002 1.5e+004 -7.68e-001 -1.078531695e+005 1.963403751e+003 1.3e-001 0.20
5 1.2e+002 1.5e+002 6.2e+003 -7.58e-001 -8.623777521e+004 6.284285009e+003 5.1e-002 0.22
6 2.6e+001 3.5e+001 1.4e+003 -4.38e-001 -3.254096842e+004 1.253725743e+004 1.2e-002 0.25
7 1.7e+001 2.3e+001 9.1e+002 5.00e-001 -2.398745748e+004 7.020282101e+003 7.6e-003 0.27
8 1.0e+001 1.3e+001 5.4e+002 6.65e-001 -1.514052973e+004 4.351351154e+003 4.5e-003 0.28
9 4.1e+000 5.4e+000 2.2e+002 8.13e-001 -6.238379304e+003 1.993343166e+003 1.8e-003 0.31
10 2.1e+000 2.7e+000 1.1e+002 9.44e-001 -3.061044977e+003 1.203829098e+003 9.3e-004 0.33
11 8.5e-001 1.1e+000 4.6e+001 9.85e-001 -1.145429950e+003 6.324606894e+002 3.9e-004 0.36
12 8.3e-001 1.1e+000 4.5e+001 9.52e-001 -1.136620444e+003 6.075583148e+002 3.8e-004 0.38
13 5.2e-001 7.0e-001 2.9e+001 9.70e-001 -6.808638359e+002 4.358294676e+002 2.4e-004 0.39
14 3.4e-001 4.6e-001 1.9e+001 1.00e+000 -3.640950668e+002 3.552965833e+002 1.6e-004 0.42
15 1.1e-001 1.8e-001 6.2e+000 9.96e-001 -2.495409105e+001 2.163906604e+002 5.3e-005 0.44
16 8.4e-002 1.3e-001 4.7e+000 1.02e+000 2.492793763e+001 2.047993787e+002 4.0e-005 0.45
17 4.3e-002 7.9e-002 2.4e+000 1.02e+000 9.670034637e+001 1.873779831e+002 2.0e-005 0.48
18 1.2e-002 1.7e-001 6.5e-001 1.02e+000 1.484301026e+002 1.729535582e+002 5.5e-006 0.50
19 3.5e-003 2.0e-001 2.0e-001 1.01e+000 1.606421497e+002 1.683354733e+002 1.7e-006 0.53
20 1.4e-003 1.2e-001 8.3e-002 1.01e+000 1.641623570e+002 1.672579017e+002 7.1e-007 0.55
21 4.7e-004 1.1e-001 2.8e-002 1.00e+000 1.656592130e+002 1.667113725e+002 2.4e-007 0.58
22 2.2e-004 8.7e-002 1.4e-002 1.01e+000 1.660533350e+002 1.665578710e+002 1.2e-007 0.59
23 9.3e-005 8.4e-002 5.8e-003 1.01e+000 1.662596616e+002 1.664732795e+002 5.1e-008 0.61
24 8.4e-005 7.7e-002 5.2e-003 1.01e+000 1.662767700e+002 1.664690310e+002 4.6e-008 0.64
25 7.5e-005 7.0e-002 4.7e-003 1.01e+000 1.662899640e+002 1.664629286e+002 4.1e-008 0.66
26 6.8e-005 6.4e-002 4.2e-003 1.01e+000 1.663020343e+002 1.664576548e+002 3.7e-008 0.69
27 6.1e-005 5.8e-002 3.8e-003 1.01e+000 1.663128294e+002 1.664528471e+002 3.3e-008 0.70
28 5.5e-005 5.3e-002 3.4e-003 1.01e+000 1.663225231e+002 1.664485059e+002 3.0e-008 0.73
29 4.9e-005 4.9e-002 3.1e-003 1.01e+000 1.663312218e+002 1.664445790e+002 2.7e-008 0.75
30 4.4e-005 4.5e-002 2.8e-003 1.01e+000 1.663390297e+002 1.664410289e+002 2.4e-008 0.77
31 4.0e-005 4.1e-002 2.5e-003 1.01e+000 1.663460387e+002 1.664378198e+002 2.2e-008 0.80
32 3.6e-005 3.8e-002 2.2e-003 1.01e+000 1.663523313e+002 1.664349196e+002 2.0e-008 0.81
33 3.2e-005 3.5e-002 2.0e-003 1.00e+000 1.663579816e+002 1.664322990e+002 1.8e-008 0.84
34 2.9e-005 3.2e-002 1.8e-003 1.00e+000 1.663630556e+002 1.664299315e+002 1.6e-008 0.86
35 2.6e-005 3.0e-002 1.6e-003 1.00e+000 1.663676126e+002 1.664277931e+002 1.4e-008 0.89
36 2.4e-005 2.8e-002 1.5e-003 1.00e+000 1.663717058e+002 1.664258618e+002 1.3e-008 0.92
37 2.1e-005 2.6e-002 1.3e-003 1.00e+000 1.663753826e+002 1.664241179e+002 1.2e-008 0.94
38 1.9e-005 2.4e-002 1.2e-003 1.00e+000 1.663786858e+002 1.664225434e+002 1.0e-008 0.97
39 1.7e-005 2.2e-002 1.1e-003 1.00e+000 1.663816536e+002 1.664211221e+002 9.4e-009 0.98
40 1.6e-005 2.1e-002 9.6e-004 1.00e+000 1.663843202e+002 1.664198392e+002 8.5e-009 1.01
41 1.4e-005 2.0e-002 8.7e-004 1.00e+000 1.663867164e+002 1.664186814e+002 7.6e-009 1.03
42 1.3e-005 1.8e-002 7.8e-004 1.00e+000 1.663888699e+002 1.664176366e+002 6.9e-009 1.06
43 1.1e-005 1.7e-002 7.0e-004 1.00e+000 1.663908053e+002 1.664166940e+002 6.2e-009 1.08
44 1.0e-005 1.7e-002 6.3e-004 1.00e+000 1.663925449e+002 1.664158437e+002 5.6e-009 1.11
45 9.2e-006 1.6e-002 5.7e-004 1.00e+000 1.663941086e+002 1.664150767e+002 5.0e-009 1.14
46 8.2e-006 1.5e-002 5.1e-004 1.00e+000 1.663955144e+002 1.664143849e+002 4.5e-009 1.16
47 7.4e-006 1.4e-002 4.6e-004 1.00e+000 1.663967781e+002 1.664137611e+002 4.1e-009 1.19
48 6.7e-006 1.4e-002 4.1e-004 1.00e+000 1.663979144e+002 1.664131986e+002 3.7e-009 1.20
49 6.0e-006 1.3e-002 3.7e-004 1.00e+000 1.663989360e+002 1.664126915e+002 3.3e-009 1.23
50 5.4e-006 1.3e-002 3.4e-004 1.00e+000 1.663998547e+002 1.664122344e+002 3.0e-009 1.25
51 4.9e-006 1.2e-002 3.0e-004 1.00e+000 1.664006807e+002 1.664118223e+002 2.7e-009 1.26
52 4.4e-006 1.2e-002 2.7e-004 1.00e+000 1.664014235e+002 1.664114508e+002 2.4e-009 1.30
53 3.9e-006 1.1e-002 2.4e-004 1.00e+000 1.664020915e+002 1.664111159e+002 2.2e-009 1.31
54 3.5e-006 1.1e-002 2.2e-004 1.00e+000 1.664026922e+002 1.664108141e+002 1.9e-009 1.34
55 3.2e-006 1.1e-002 2.0e-004 1.00e+000 1.664032323e+002 1.664105420e+002 1.7e-009 1.36
56 2.9e-006 1.1e-002 1.8e-004 1.00e+000 1.664037181e+002 1.664102968e+002 1.6e-009 1.39
57 2.6e-006 1.0e-002 1.6e-004 1.00e+000 1.664041551e+002 1.664100758e+002 1.4e-009 1.41
58 2.3e-006 1.0e-002 1.4e-004 1.00e+000 1.664045482e+002 1.664098768e+002 1.3e-009 1.42
59 2.1e-006 9.9e-003 1.3e-004 1.00e+000 1.664049017e+002 1.664096975e+002 1.1e-009 1.45
60 1.9e-006 9.7e-003 1.2e-004 1.00e+000 1.664052198e+002 1.664095360e+002 1.0e-009 1.47
61 1.7e-006 9.5e-003 1.1e-004 1.00e+000 1.664055060e+002 1.664093906e+002 9.3e-010 1.50
62 1.5e-006 9.4e-003 9.5e-005 1.00e+000 1.664057635e+002 1.664092596e+002 8.4e-010 1.51
63 1.4e-006 9.2e-003 8.5e-005 1.00e+000 1.664059951e+002 1.664091416e+002 7.5e-010 1.53
64 1.2e-006 9.1e-003 7.7e-005 1.00e+000 1.664062035e+002 1.664090354e+002 6.8e-010 1.56
65 1.1e-006 9.0e-003 6.9e-005 1.00e+000 1.664063910e+002 1.664089397e+002 6.1e-010 1.58
66 1.0e-006 8.9e-003 6.2e-005 1.00e+000 1.664065597e+002 1.664088535e+002 5.5e-010 1.61
67 9.0e-007 8.8e-003 5.6e-005 1.00e+000 1.664067115e+002 1.664087759e+002 4.9e-010 1.63
68 8.1e-007 8.7e-003 5.0e-005 1.00e+000 1.664068480e+002 1.664087060e+002 4.4e-010 1.64
69 7.3e-007 8.6e-003 4.5e-005 1.00e+000 1.664069709e+002 1.664086430e+002 4.0e-010 1.67
70 6.6e-007 8.5e-003 4.1e-005 1.00e+000 1.664070814e+002 1.664085863e+002 3.6e-010 1.69
71 5.9e-007 8.5e-003 3.7e-005 1.00e+000 1.664071808e+002 1.664085352e+002 3.2e-010 1.72
72 5.3e-007 8.4e-003 3.3e-005 1.00e+000 1.664072702e+002 1.664084892e+002 2.9e-010 1.73
73 4.8e-007 8.4e-003 3.0e-005 1.00e+000 1.664073506e+002 1.664084477e+002 2.6e-010 1.76
74 4.3e-007 8.3e-003 2.7e-005 1.00e+000 1.664074229e+002 1.664084104e+002 2.4e-010 1.78
75 3.9e-007 8.3e-003 2.4e-005 1.00e+000 1.664074880e+002 1.664083767e+002 2.1e-010 1.81
76 3.5e-007 8.2e-003 2.2e-005 1.00e+000 1.664075465e+002 1.664083463e+002 1.9e-010 1.83
77 3.1e-007 8.2e-003 2.0e-005 1.00e+000 1.664075992e+002 1.664083190e+002 1.7e-010 1.84
78 2.8e-007 8.1e-003 1.8e-005 1.00e+000 1.664076466e+002 1.664082944e+002 1.6e-010 1.88
79 2.5e-007 8.1e-003 1.6e-005 1.00e+000 1.664076892e+002 1.664082723e+002 1.4e-010 1.89
80 2.3e-007 8.1e-003 1.4e-005 1.00e+000 1.664077275e+002 1.664082523e+002 1.3e-010 1.92
81 2.1e-007 8.0e-003 1.3e-005 1.00e+000 1.664077621e+002 1.664082344e+002 1.1e-010 1.94
82 1.9e-007 8.0e-003 1.2e-005 1.00e+000 1.664077931e+002 1.664082182e+002 1.0e-010 1.97
83 1.7e-007 8.0e-003 1.0e-005 1.00e+000 1.664078210e+002 1.664082036e+002 9.2e-011 1.98
84 1.5e-007 7.9e-003 9.3e-006 1.00e+000 1.664078462e+002 1.664081905e+002 8.2e-011 2.02
85 1.4e-007 7.9e-003 8.4e-006 1.00e+000 1.664078688e+002 1.664081787e+002 7.4e-011 2.03
86 1.2e-007 7.9e-003 7.6e-006 1.00e+000 1.664078892e+002 1.664081681e+002 6.7e-011 2.06
87 1.1e-007 7.9e-003 6.8e-006 1.00e+000 1.664079075e+002 1.664081585e+002 6.0e-011 2.08
88 9.9e-008 7.8e-003 6.1e-006 1.00e+000 1.664079240e+002 1.664081499e+002 5.4e-011 2.09
89 8.9e-008 7.8e-003 5.5e-006 1.00e+000 1.664079388e+002 1.664081422e+002 4.9e-011 2.13
90 8.0e-008 7.8e-003 5.0e-006 1.00e+000 1.664079522e+002 1.664081352e+002 4.4e-011 2.14
91 7.2e-008 7.8e-003 4.5e-006 1.00e+000 1.664079642e+002 1.664081289e+002 3.9e-011 2.17
92 6.5e-008 7.8e-003 4.0e-006 1.00e+000 1.664079750e+002 1.664081232e+002 3.5e-011 2.19
93 5.8e-008 7.8e-003 3.6e-006 9.99e-001 1.664079848e+002 1.664081181e+002 3.2e-011 2.22
94 5.2e-008 7.8e-003 3.3e-006 9.99e-001 1.664079935e+002 1.664081135e+002 2.9e-011 2.23
95 4.7e-008 7.7e-003 2.9e-006 1.00e+000 1.664080014e+002 1.664081094e+002 2.6e-011 2.25
96 4.3e-008 7.7e-003 2.6e-006 1.00e+000 1.664080085e+002 1.664081057e+002 2.3e-011 2.28
97 3.8e-008 7.7e-003 2.4e-006 9.99e-001 1.664080149e+002 1.664081024e+002 2.1e-011 2.30
98 3.4e-008 7.7e-003 2.1e-006 9.99e-001 1.664080206e+002 1.664080994e+002 1.9e-011 2.33
99 3.1e-008 7.7e-003 1.9e-006 1.00e+000 1.664080258e+002 1.664080967e+002 1.7e-011 2.34
100 2.8e-008 7.7e-003 1.7e-006 1.00e+000 1.664080304e+002 1.664080942e+002 1.5e-011 2.36
101 2.5e-008 7.7e-003 1.6e-006 9.99e-001 1.664080346e+002 1.664080920e+002 1.4e-011 2.39
102 2.3e-008 7.7e-003 1.4e-006 1.00e+000 1.664080384e+002 1.664080901e+002 1.2e-011 2.41
103 2.0e-008 7.6e-003 1.3e-006 9.97e-001 1.664080418e+002 1.664080883e+002 1.1e-011 2.44
104 1.8e-008 6.9e-003 1.1e-006 1.00e+000 1.664080448e+002 1.664080867e+002 1.0e-011 2.45
105 1.7e-008 6.2e-003 1.0e-006 1.01e+000 1.664080476e+002 1.664080852e+002 9.0e-012 2.47
106 1.5e-008 5.6e-003 9.2e-007 1.00e+000 1.664080501e+002 1.664080839e+002 8.1e-012 2.50
107 1.3e-008 5.0e-003 8.3e-007 9.97e-001 1.664080523e+002 1.664080827e+002 7.3e-012 2.52
108 1.3e-008 4.5e-003 7.5e-007 1.02e+000 1.664080544e+002 1.664080816e+002 6.6e-012 2.53
109 1.1e-008 4.1e-003 6.7e-007 1.01e+000 1.664080563e+002 1.664080806e+002 6.0e-012 2.56
110 1.0e-008 3.6e-003 6.0e-007 1.00e+000 1.664080579e+002 1.664080798e+002 5.4e-012 2.58
111 9.3e-009 3.3e-003 5.4e-007 1.01e+000 1.664080594e+002 1.664080790e+002 4.9e-012 2.61
112 8.4e-009 3.0e-003 4.9e-007 1.01e+000 1.664080607e+002 1.664080783e+002 4.4e-012 2.63
113 7.5e-009 2.7e-003 4.4e-007 9.88e-001 1.664080619e+002 1.664080777e+002 4.0e-012 2.66
114 6.9e-009 2.4e-003 4.0e-007 9.98e-001 1.664080629e+002 1.664080772e+002 3.6e-012 2.67
115 1.1e-008 2.2e-003 3.6e-007 9.94e-001 1.664080640e+002 1.664080762e+002 3.2e-012 2.70
116 1.0e-008 1.9e-003 3.2e-007 1.00e+000 1.664080648e+002 1.664080758e+002 2.9e-012 2.72
117 1.0e-008 1.8e-003 2.9e-007 8.94e-001 1.664080655e+002 1.664080757e+002 2.6e-012 2.73
118 9.2e-009 1.6e-003 2.6e-007 1.04e+000 1.664080663e+002 1.664080752e+002 2.4e-012 2.77
119 8.2e-009 1.5e-003 2.3e-007 1.01e+000 1.664080669e+002 1.664080749e+002 2.1e-012 2.78
120 7.6e-009 1.3e-003 2.1e-007 1.01e+000 1.664080675e+002 1.664080747e+002 1.9e-012 2.81
121 1.2e-008 1.2e-003 1.9e-007 2.70e+000 1.664080681e+002 1.664080740e+002 1.7e-012 2.83
122 1.1e-008 1.1e-003 1.7e-007 1.00e+000 1.664080685e+002 1.664080738e+002 1.5e-012 2.84
123 9.9e-009 9.7e-004 1.5e-007 9.94e-001 1.664080689e+002 1.664080737e+002 1.4e-012 2.88
124 8.9e-009 8.8e-004 1.4e-007 9.97e-001 1.664080692e+002 1.664080735e+002 1.2e-012 2.89
125 8.0e-009 7.9e-004 1.2e-007 1.00e+000 1.664080695e+002 1.664080734e+002 1.1e-012 2.92
126 7.2e-009 7.1e-004 1.1e-007 1.00e+000 1.664080698e+002 1.664080733e+002 1.0e-012 2.94
127 6.6e-009 6.4e-004 1.0e-007 1.05e+000 1.664080701e+002 1.664080731e+002 9.3e-013 2.95
Interior-point optimizer terminated. Time: 2.97.
Optimizer terminated. Time: 2.98
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807014e+002 nrm: 2e+001 Viol. con: 1e-007 var: 0e+000
Dual. obj: 1.6640807311e+002 nrm: 1e+003 Viol. con: 0e+000 var: 4e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.02 seconds.
Solving took 9 GP solves and 36.1 seconds.
Solves with these variables bounded:
value near lower bound: Mission1.CruiseAlt
value near upper bound: Mission1.T_{t_{4.1_{max-Cruise}}}, Mission1.Aircraft.Engine.Thrust.\alpha_{max}, Mission1.Aircraft.Wing.WingNoStruct.A_{tri}, Mission1.TotalTime, Mission1.Aircraft.HorizontalTail.WingBox.M_{r_{out}}, Mission1.Aircraft.LandingGear.d_{nacelle}
Checking for relaxed constants...
Solution check warning: Primal solution computed cost did not match solver-returned cost: 1.4957411894472056e+110 vs 1.49570207917e+110
GP iteration 0 has relaxed constants
Cost
----
1.496e+110
Free Variables
--------------
| Mission1.Aircraft.Engine.Turbine.Relax1
C_{p_{t2}} : 2.251 Cp Value for Combustion Products in LP Turbine
| Mission1.Aircraft.Fuselage.Relax1
l_{nose} : 1.042 Nose length
n_{pass} : [ 2.86 ] Number of passengers
| Mission1.Aircraft.Relax1
f_{L_{total/wing}} : 1.656 Total lift as a percentage of wing lift
| Mission1.Aircraft.Wing.WingNoStruct.Relax1
\tan(\Lambda) : 1.133 Tangent of quarter-chord sweep angle
| Mission1.FlightState.Atmosphere.Relax1
L_{atm} : [ 1.77 1 1 1 1 ] Temperature lapse rate
T_{sl} : [ 1 1 1.25 1 1 ] Temperature at sea level
| Mission1.Relax1
R_{req} : 2.362 Required Cruise Range
GP iteration 1 has relaxed constants
Cost
----
7.486e+74
Free Variables
--------------
| Mission1.Aircraft.Engine.Combustor.Relax1
hold_{4a} : 1.093 1+(gamma-1)/2 * M_4a**2
| Mission1.Aircraft.Fuselage.Relax1
n_{pass} : [ 1.03 ] Number of passengers
| Mission1.Aircraft.LandingGear.Relax1
h_{hold} : 1.006 Hold height
Solution check warning: sum of nu^T * A did not vanish
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94683103]
Total Aircraft Weight Percent Diff: [-21.48041435]
Engine Weight Percent Diff: -56.27774589313234
Fuselage Weight Percent Diff: -0.8696958114504642
Payload Weight Percent Diff: [-0.04003556]
VT Weight Percent Diff: -8.60723652224414
HT Weight Percent Diff: -93.23327859649434
Wing Weight Percent Diff: 8.267882867655096
WING DIFFERENCES
Wing Span Percent Diff: -0.0299961250114644
Wing Area Percent Diff: 32.899077030368126
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.487670020285755
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022213364298166
VT Area Percent Diff: -60.38672249246082
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.5474118]
L/D Percent Diff: [24.01029603]
Nacelle Cd Percent Diff: [-94.27640648]
HT Cd Percent Diff: [-80.76937891] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00254226] dimensionless
Wing Cd percent Diff: [-14.22928986]
Induced Drag Cd Percent Diff: [1.21854359]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57036499]
FUSELAGE DIFFERENCES
Weight of HB material: -38.35820637691987
Weight of VB material: 87.82381853902206
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260558]