![[Jenkins]](/csi/static/2675c506/images/svgs/logo.svg){kind=logo}
Passed
gpkit.tests.from_paths.TestFiles.test_SPaircraft_py_mosek (from gpkit.tests.from_paths.TestFiles-20190827152717)
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}[:]/dum[:])^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}[:]/dum[:])^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 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 482
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 : 872
Optimizer - Cones : 0
Optimizer - Scalar variables : 3459 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 : 1.49e+004 after factor : 1.57e+005
Factor - dense dim. : 0 flops : 3.24e+007
Factor - GP saved nzs : 3.37e+004 GP saved flops : 9.34e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.6e+003 1.2e+005 0.00e+000 -1.240449158e+005 2.000000000e+000 1.0e+000 0.08
1 1.6e+003 2.5e+003 8.5e+004 -9.71e-001 -1.231598170e+005 2.772705853e+000 6.9e-001 0.11
2 8.3e+002 1.3e+003 4.5e+004 -9.57e-001 -1.207209087e+005 5.059859078e+000 3.7e-001 0.13
3 2.9e+002 4.6e+002 1.6e+004 -9.17e-001 -1.119443385e+005 2.150549225e+001 1.3e-001 0.14
4 2.9e+002 4.6e+002 1.6e+004 -7.70e-001 -1.099546664e+005 1.751394760e+003 1.3e-001 0.17
5 1.1e+002 1.8e+002 6.1e+003 -7.61e-001 -8.598969053e+004 6.794512073e+003 4.9e-002 0.19
6 3.8e+001 6.0e+001 2.1e+003 -4.14e-001 -4.639623957e+004 1.072172654e+004 1.7e-002 0.20
7 2.0e+001 3.2e+001 1.1e+003 2.49e-001 -2.873105234e+004 6.978199094e+003 8.9e-003 0.22
8 9.3e+000 1.5e+001 5.1e+002 5.74e-001 -1.411523661e+004 4.234629977e+003 4.1e-003 0.25
9 4.6e+000 7.3e+000 2.5e+002 8.29e-001 -6.977400880e+003 2.487265202e+003 2.1e-003 0.27
10 1.4e+000 2.2e+000 7.8e+001 9.35e-001 -2.010152792e+003 9.419726625e+002 6.4e-004 0.28
11 6.4e-001 1.0e+000 3.5e+001 9.94e-001 -6.902226196e+002 6.543734284e+002 2.9e-004 0.30
12 4.8e-001 7.7e-001 2.7e+001 9.96e-001 -4.648059981e+002 5.576787879e+002 2.2e-004 0.33
13 3.5e-001 8.3e-001 1.9e+001 9.80e-001 -2.752749697e+002 4.748556496e+002 1.6e-004 0.34
14 1.7e-001 4.1e-001 9.6e+000 9.97e-001 -5.051924639e+000 3.649673679e+002 8.0e-005 0.36
15 5.6e-002 1.7e-001 3.2e+000 9.94e-001 1.665065065e+002 2.901097258e+002 2.7e-005 0.38
16 3.3e-002 1.4e-001 1.9e+000 1.00e+000 2.022851815e+002 2.745897855e+002 1.6e-005 0.41
17 5.1e-003 1.9e-001 3.2e-001 1.00e+000 2.449565549e+002 2.572435980e+002 2.8e-006 0.42
18 1.5e-003 1.3e-001 9.4e-002 1.00e+000 2.510772984e+002 2.546940521e+002 8.5e-007 0.45
19 4.9e-004 1.1e-001 3.1e-002 1.00e+000 2.528243904e+002 2.540244065e+002 2.8e-007 0.47
20 2.1e-004 8.8e-002 1.4e-002 1.00e+000 2.533144629e+002 2.538331846e+002 1.2e-007 0.48
21 1.9e-004 8.0e-002 1.2e-002 1.00e+000 2.533528808e+002 2.538197406e+002 1.1e-007 0.52
22 1.7e-004 7.3e-002 1.1e-002 1.00e+000 2.533863873e+002 2.538065365e+002 9.9e-008 0.53
23 1.5e-004 6.6e-002 9.9e-003 1.00e+000 2.534165783e+002 2.537946963e+002 9.0e-008 0.56
24 1.4e-004 6.0e-002 8.9e-003 1.00e+000 2.534437252e+002 2.537840175e+002 8.1e-008 0.58
25 1.2e-004 5.5e-002 8.0e-003 1.00e+000 2.534681405e+002 2.537743920e+002 7.3e-008 0.61
26 1.1e-004 5.0e-002 7.2e-003 1.00e+000 2.534900982e+002 2.537657149e+002 6.5e-008 0.63
27 1.0e-004 4.6e-002 6.5e-003 1.00e+000 2.535098478e+002 2.537578948e+002 5.9e-008 0.64
28 9.0e-005 4.2e-002 5.8e-003 1.00e+000 2.535276122e+002 2.537508480e+002 5.3e-008 0.67
29 8.1e-005 3.9e-002 5.3e-003 1.00e+000 2.535435919e+002 2.537444988e+002 4.8e-008 0.69
30 7.3e-005 3.6e-002 4.7e-003 1.00e+000 2.535579666e+002 2.537387785e+002 4.3e-008 0.72
31 6.6e-005 3.3e-002 4.3e-003 1.00e+000 2.535708982e+002 2.537336254e+002 3.9e-008 0.73
32 5.9e-005 3.0e-002 3.8e-003 1.00e+000 2.535825317e+002 2.537289834e+002 3.5e-008 0.77
33 5.3e-005 2.8e-002 3.5e-003 1.00e+000 2.535929978e+002 2.537248021e+002 3.1e-008 0.78
34 4.8e-005 2.6e-002 3.1e-003 1.00e+000 2.536024138e+002 2.537210359e+002 2.8e-008 0.80
35 4.3e-005 2.4e-002 2.8e-003 1.00e+000 2.536108852e+002 2.537176438e+002 2.5e-008 0.83
36 3.9e-005 2.2e-002 2.5e-003 1.00e+000 2.536185070e+002 2.537145886e+002 2.3e-008 0.84
37 3.5e-005 2.1e-002 2.3e-003 1.00e+000 2.536253645e+002 2.537118371e+002 2.0e-008 0.88
38 3.1e-005 2.0e-002 2.0e-003 1.00e+000 2.536315344e+002 2.537093591e+002 1.8e-008 0.89
39 2.8e-005 1.8e-002 1.8e-003 1.00e+000 2.536370858e+002 2.537071276e+002 1.7e-008 0.91
40 2.5e-005 1.7e-002 1.7e-003 1.00e+000 2.536420808e+002 2.537051180e+002 1.5e-008 0.94
41 2.3e-005 1.6e-002 1.5e-003 1.00e+000 2.536465752e+002 2.537033085e+002 1.3e-008 0.95
42 2.1e-005 1.6e-002 1.3e-003 1.00e+000 2.536506193e+002 2.537016790e+002 1.2e-008 0.98
43 1.9e-005 1.5e-002 1.2e-003 1.00e+000 2.536542583e+002 2.537002119e+002 1.1e-008 1.00
44 1.7e-005 1.4e-002 1.1e-003 1.00e+000 2.536575327e+002 2.536988909e+002 9.8e-009 1.02
45 1.5e-005 1.3e-002 9.7e-004 1.00e+000 2.536604792e+002 2.536977015e+002 8.8e-009 1.05
46 1.4e-005 1.3e-002 8.8e-004 1.00e+000 2.536631306e+002 2.536966307e+002 7.9e-009 1.08
47 1.2e-005 1.2e-002 7.9e-004 1.00e+000 2.536655166e+002 2.536956666e+002 7.1e-009 1.11
48 1.1e-005 1.2e-002 7.1e-004 1.00e+000 2.536676637e+002 2.536947987e+002 6.4e-009 1.14
49 9.9e-006 1.1e-002 6.4e-004 1.00e+000 2.536695959e+002 2.536940174e+002 5.8e-009 1.17
50 8.9e-006 1.1e-002 5.8e-004 1.00e+000 2.536713347e+002 2.536933141e+002 5.2e-009 1.20
51 8.0e-006 1.1e-002 5.2e-004 1.00e+000 2.536728995e+002 2.536926809e+002 4.7e-009 1.23
52 7.2e-006 1.0e-002 4.7e-004 1.00e+000 2.536743076e+002 2.536921110e+002 4.2e-009 1.27
53 6.5e-006 1.0e-002 4.2e-004 1.00e+000 2.536755749e+002 2.536915979e+002 3.8e-009 1.30
54 5.8e-006 9.8e-003 3.8e-004 1.00e+000 2.536767153e+002 2.536911361e+002 3.4e-009 1.33
55 5.2e-006 9.6e-003 3.4e-004 1.00e+000 2.536777417e+002 2.536907204e+002 3.1e-009 1.36
56 4.7e-006 9.4e-003 3.1e-004 1.00e+000 2.536786653e+002 2.536903462e+002 2.8e-009 1.39
57 4.2e-006 9.2e-003 2.8e-004 1.00e+000 2.536794965e+002 2.536900093e+002 2.5e-009 1.42
58 3.8e-006 9.0e-003 2.5e-004 1.00e+000 2.536802445e+002 2.536897061e+002 2.2e-009 1.45
59 3.4e-006 8.9e-003 2.2e-004 1.00e+000 2.536809177e+002 2.536894332e+002 2.0e-009 1.47
60 3.1e-006 8.8e-003 2.0e-004 1.00e+000 2.536815236e+002 2.536891875e+002 1.8e-009 1.50
61 1.2e-006 3.4e-003 7.8e-005 1.00e+000 2.536848679e+002 2.536878301e+002 7.0e-010 1.52
62 1.1e-006 3.0e-003 7.0e-005 1.00e+000 2.536850790e+002 2.536877451e+002 6.3e-010 1.55
63 3.8e-007 1.1e-003 2.5e-005 1.00e+000 2.536862956e+002 2.536872510e+002 2.3e-010 1.56
64 3.5e-007 9.8e-004 2.3e-005 1.00e+000 2.536863636e+002 2.536872234e+002 2.0e-010 1.59
65 3.1e-007 8.8e-004 2.0e-005 1.00e+000 2.536864247e+002 2.536871986e+002 1.8e-010 1.63
66 2.8e-007 7.9e-004 1.8e-005 1.00e+000 2.536864797e+002 2.536871762e+002 1.7e-010 1.66
67 2.5e-007 7.2e-004 1.6e-005 1.00e+000 2.536865292e+002 2.536871561e+002 1.5e-010 1.67
68 2.3e-007 6.4e-004 1.5e-005 1.00e+000 2.536865738e+002 2.536871379e+002 1.3e-010 1.70
69 2.0e-007 5.8e-004 1.3e-005 1.00e+000 2.536866139e+002 2.536871216e+002 1.2e-010 1.73
70 1.8e-007 5.2e-004 1.2e-005 1.00e+000 2.536866500e+002 2.536871069e+002 1.1e-010 1.75
71 1.7e-007 4.7e-004 1.1e-005 1.00e+000 2.536866824e+002 2.536870937e+002 9.7e-011 1.78
72 1.5e-007 4.2e-004 9.7e-006 1.00e+000 2.536867117e+002 2.536870818e+002 8.8e-011 1.81
73 1.3e-007 3.8e-004 8.7e-006 1.00e+000 2.536867380e+002 2.536870711e+002 7.9e-011 1.84
74 1.2e-007 3.4e-004 7.9e-006 1.00e+000 2.536867616e+002 2.536870615e+002 7.1e-011 1.88
75 1.1e-007 3.1e-004 7.1e-006 1.00e+000 2.536867830e+002 2.536870528e+002 6.4e-011 1.89
76 9.8e-008 2.8e-004 6.4e-006 1.00e+000 2.536868021e+002 2.536870450e+002 5.8e-011 1.92
77 8.8e-008 2.5e-004 5.7e-006 1.00e+000 2.536868194e+002 2.536870380e+002 5.2e-011 1.95
78 7.9e-008 2.2e-004 5.2e-006 1.00e+000 2.536868349e+002 2.536870316e+002 4.7e-011 1.98
79 7.1e-008 2.0e-004 4.6e-006 1.00e+000 2.536868489e+002 2.536870259e+002 4.2e-011 2.03
80 6.4e-008 1.8e-004 4.2e-006 1.00e+000 2.536868615e+002 2.536870208e+002 3.8e-011 2.05
81 5.8e-008 1.6e-004 3.8e-006 1.00e+000 2.536868728e+002 2.536870162e+002 3.4e-011 2.08
82 5.2e-008 1.5e-004 3.4e-006 1.00e+000 2.536868830e+002 2.536870121e+002 3.1e-011 2.11
83 4.7e-008 1.3e-004 3.0e-006 1.00e+000 2.536868922e+002 2.536870083e+002 2.8e-011 2.14
84 4.2e-008 1.2e-004 2.7e-006 1.00e+000 2.536869004e+002 2.536870050e+002 2.5e-011 2.17
85 3.8e-008 1.1e-004 2.5e-006 1.00e+000 2.536869078e+002 2.536870019e+002 2.2e-011 2.20
86 3.4e-008 9.7e-005 2.2e-006 1.00e+000 2.536869145e+002 2.536869992e+002 2.0e-011 2.22
87 3.1e-008 8.7e-005 2.0e-006 1.00e+000 2.536869205e+002 2.536869967e+002 1.8e-011 2.25
88 2.8e-008 7.8e-005 1.8e-006 1.00e+000 2.536869259e+002 2.536869945e+002 1.6e-011 2.28
89 2.5e-008 7.0e-005 1.6e-006 1.00e+000 2.536869308e+002 2.536869925e+002 1.5e-011 2.31
90 2.2e-008 6.3e-005 1.5e-006 1.00e+000 2.536869352e+002 2.536869908e+002 1.3e-011 2.34
91 2.0e-008 5.7e-005 1.3e-006 1.00e+000 2.536869391e+002 2.536869891e+002 1.2e-011 2.38
92 1.8e-008 5.1e-005 1.2e-006 1.00e+000 2.536869427e+002 2.536869877e+002 1.1e-011 2.39
93 1.6e-008 4.6e-005 1.1e-006 1.00e+000 2.536869459e+002 2.536869864e+002 9.6e-012 2.42
94 1.5e-008 4.2e-005 9.5e-007 1.00e+000 2.536869488e+002 2.536869852e+002 8.6e-012 2.45
95 1.3e-008 3.7e-005 8.6e-007 1.00e+000 2.536869514e+002 2.536869842e+002 7.8e-012 2.48
96 1.2e-008 3.4e-005 7.7e-007 1.00e+000 2.536869537e+002 2.536869832e+002 7.0e-012 2.52
Interior-point optimizer terminated. Time: 2.52.
Optimizer terminated. Time: 2.55
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695368e+002 nrm: 4e+001 Viol. con: 2e-007 var: 0e+000
Dual. obj: 2.5368698321e+002 nrm: 8e+002 Viol. con: 0e+000 var: 2e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.58 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 482
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: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 873
Optimizer - Cones : 0
Optimizer - Scalar variables : 3461 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 : 0.02
Factor - nonzeros before factor : 1.49e+004 after factor : 1.57e+005
Factor - dense dim. : 0 flops : 3.26e+007
Factor - GP saved nzs : 3.37e+004 GP saved flops : 9.34e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.6e+003 1.2e+005 0.00e+000 -1.237013702e+005 2.000000000e+000 1.0e+000 0.06
1 1.6e+003 2.5e+003 8.6e+004 -9.71e-001 -1.228434709e+005 2.756342407e+000 7.0e-001 0.11
2 7.9e+002 1.2e+003 4.3e+004 -9.57e-001 -1.201193062e+005 5.310008056e+000 3.5e-001 0.14
3 3.0e+002 4.6e+002 1.6e+004 -9.12e-001 -1.116706920e+005 2.208425991e+001 1.3e-001 0.17
4 2.9e+002 4.6e+002 1.6e+004 -7.71e-001 -1.097334442e+005 1.705719585e+003 1.3e-001 0.20
5 1.2e+002 2.0e+002 6.8e+003 -7.62e-001 -8.902848652e+004 6.119241162e+003 5.5e-002 0.23
6 3.9e+001 6.2e+001 2.1e+003 -4.64e-001 -4.734889351e+004 1.114200178e+004 1.7e-002 0.25
7 2.3e+001 3.6e+001 1.2e+003 2.29e-001 -3.192913451e+004 7.387432365e+003 1.0e-002 0.28
8 9.2e+000 1.4e+001 5.0e+002 5.18e-001 -1.392636081e+004 4.008864830e+003 4.1e-003 0.30
9 6.1e+000 9.6e+000 3.3e+002 8.31e-001 -9.280560955e+003 2.891647642e+003 2.7e-003 0.31
10 2.1e+000 3.3e+000 1.1e+002 9.02e-001 -3.131001617e+003 1.210976089e+003 9.4e-004 0.34
11 1.4e+000 2.2e+000 7.8e+001 9.77e-001 -2.013653008e+003 9.500735231e+002 6.4e-004 0.36
12 7.9e-001 1.3e+000 4.3e+001 9.78e-001 -1.037508045e+003 6.265905890e+002 3.6e-004 0.38
13 3.7e-001 6.2e-001 2.0e+001 9.88e-001 -3.849356605e+002 3.918242659e+002 1.7e-004 0.41
14 1.7e-001 3.1e-001 9.3e+000 1.00e+000 -7.889375302e+001 2.772409287e+002 7.7e-005 0.42
15 9.6e-002 3.8e-001 5.3e+000 1.00e+000 2.763510741e+001 2.322343713e+002 4.4e-005 0.45
16 3.3e-002 1.6e-001 1.9e+000 1.00e+000 1.216787904e+002 1.930615621e+002 1.6e-005 0.47
17 1.1e-002 1.1e-001 6.4e-001 1.01e+000 1.550166281e+002 1.794460086e+002 5.5e-006 0.50
18 6.2e-003 8.4e-002 3.6e-001 1.01e+000 1.624685253e+002 1.763623070e+002 3.1e-006 0.52
19 1.2e-003 1.5e-001 7.2e-002 1.01e+000 1.704371110e+002 1.731666935e+002 6.4e-007 0.55
20 4.1e-004 1.1e-001 2.6e-002 1.01e+000 1.716992006e+002 1.726817959e+002 2.3e-007 0.56
21 1.8e-004 9.2e-002 1.1e-002 1.00e+000 1.721018662e+002 1.725265088e+002 1.0e-007 0.58
22 1.0e-004 7.2e-002 6.4e-003 1.00e+000 1.722310945e+002 1.724728768e+002 5.8e-008 0.61
23 9.1e-005 6.6e-002 5.8e-003 1.00e+000 1.722491878e+002 1.724668326e+002 5.2e-008 0.63
24 8.2e-005 6.0e-002 5.2e-003 1.00e+000 1.722647645e+002 1.724606392e+002 4.7e-008 0.66
25 7.4e-005 5.5e-002 4.7e-003 1.00e+000 1.722788781e+002 1.724551614e+002 4.2e-008 0.67
26 6.6e-005 5.0e-002 4.2e-003 1.00e+000 1.722915504e+002 1.724502020e+002 3.8e-008 0.70
27 6.0e-005 4.6e-002 3.8e-003 1.00e+000 1.723029436e+002 1.724457270e+002 3.4e-008 0.72
28 5.4e-005 4.2e-002 3.4e-003 1.00e+000 1.723131818e+002 1.724416844e+002 3.1e-008 0.73
29 4.8e-005 3.9e-002 3.1e-003 1.00e+000 1.723223819e+002 1.724380321e+002 2.8e-008 0.77
30 4.3e-005 3.6e-002 2.8e-003 1.00e+000 1.723306485e+002 1.724347320e+002 2.5e-008 0.78
31 3.9e-005 3.3e-002 2.5e-003 1.00e+000 1.723380765e+002 1.724317501e+002 2.2e-008 0.81
32 3.5e-005 3.1e-002 2.2e-003 1.00e+000 1.723447513e+002 1.724290563e+002 2.0e-008 0.83
33 3.2e-005 2.8e-002 2.0e-003 1.00e+000 1.723507498e+002 1.724266234e+002 1.8e-008 0.86
34 2.8e-005 2.6e-002 1.8e-003 1.00e+000 1.723561412e+002 1.724244267e+002 1.6e-008 0.88
35 2.6e-005 2.5e-002 1.6e-003 1.00e+000 1.723609876e+002 1.724224439e+002 1.5e-008 0.91
36 2.3e-005 2.3e-002 1.5e-003 1.00e+000 1.723653445e+002 1.724206547e+002 1.3e-008 0.92
37 2.1e-005 2.2e-002 1.3e-003 1.00e+000 1.723692618e+002 1.724190406e+002 1.2e-008 0.95
38 1.9e-005 2.0e-002 1.2e-003 1.00e+000 1.723727841e+002 1.724175848e+002 1.1e-008 0.97
39 1.7e-005 1.9e-002 1.1e-003 1.00e+000 1.723759516e+002 1.724162719e+002 9.6e-009 1.00
40 1.5e-005 1.8e-002 9.6e-004 1.00e+000 1.723788000e+002 1.724150882e+002 8.6e-009 1.01
41 1.4e-005 1.7e-002 8.6e-004 1.00e+000 1.723813618e+002 1.724140211e+002 7.8e-009 1.03
42 1.2e-005 1.6e-002 7.8e-004 1.00e+000 1.723836658e+002 1.724130591e+002 7.0e-009 1.06
43 1.1e-005 1.5e-002 7.0e-004 1.00e+000 1.723857382e+002 1.724121921e+002 6.3e-009 1.08
44 9.9e-006 1.5e-002 6.3e-004 1.00e+000 1.723876022e+002 1.724114108e+002 5.7e-009 1.11
45 8.9e-006 1.4e-002 5.7e-004 1.00e+000 1.723892790e+002 1.724107066e+002 5.1e-009 1.13
46 8.0e-006 1.3e-002 5.1e-004 1.00e+000 1.723907873e+002 1.724100722e+002 4.6e-009 1.16
47 7.2e-006 1.3e-002 4.6e-004 1.00e+000 1.723921441e+002 1.724095006e+002 4.1e-009 1.17
48 6.5e-006 1.2e-002 4.1e-004 1.00e+000 1.723933647e+002 1.724089856e+002 3.7e-009 1.20
49 5.9e-006 1.2e-002 3.7e-004 1.00e+000 1.723944628e+002 1.724085216e+002 3.4e-009 1.22
50 5.3e-006 1.1e-002 3.3e-004 1.00e+000 1.723954508e+002 1.724081037e+002 3.0e-009 1.25
51 4.8e-006 1.1e-002 3.0e-004 1.00e+000 1.723963396e+002 1.724077273e+002 2.7e-009 1.26
52 4.3e-006 1.1e-002 2.7e-004 1.00e+000 1.723971393e+002 1.724073883e+002 2.4e-009 1.28
53 3.8e-006 1.0e-002 2.4e-004 1.00e+000 1.723978588e+002 1.724070829e+002 2.2e-009 1.31
54 3.5e-006 1.0e-002 2.2e-004 1.00e+000 1.723985062e+002 1.724068079e+002 2.0e-009 1.33
55 3.1e-006 9.9e-003 2.0e-004 1.00e+000 1.723990887e+002 1.724065603e+002 1.8e-009 1.36
56 2.8e-006 9.7e-003 1.8e-004 1.00e+000 1.723996128e+002 1.724063373e+002 1.6e-009 1.38
57 2.5e-006 9.5e-003 1.6e-004 1.00e+000 1.724000844e+002 1.724061364e+002 1.4e-009 1.39
58 2.3e-006 9.3e-003 1.4e-004 1.00e+000 1.724005087e+002 1.724059556e+002 1.3e-009 1.42
59 2.0e-006 9.2e-003 1.3e-004 1.00e+000 1.724008905e+002 1.724057927e+002 1.2e-009 1.44
60 1.8e-006 9.0e-003 1.2e-004 1.00e+000 1.724012341e+002 1.724056461e+002 1.1e-009 1.47
61 1.7e-006 8.9e-003 1.1e-004 1.00e+000 1.724015433e+002 1.724055141e+002 9.5e-010 1.48
62 1.5e-006 8.8e-003 9.5e-005 1.00e+000 1.724018215e+002 1.724053952e+002 8.5e-010 1.51
63 1.3e-006 8.7e-003 8.5e-005 1.00e+000 1.724020718e+002 1.724052882e+002 7.7e-010 1.53
64 1.2e-006 8.6e-003 7.7e-005 1.00e+000 1.724022971e+002 1.724051918e+002 6.9e-010 1.56
65 1.1e-006 8.5e-003 6.9e-005 1.00e+000 1.724024998e+002 1.724051051e+002 6.2e-010 1.58
66 9.8e-007 8.4e-003 6.2e-005 1.00e+000 1.724026822e+002 1.724050270e+002 5.6e-010 1.61
67 8.8e-007 8.3e-003 5.6e-005 1.00e+000 1.724028463e+002 1.724049566e+002 5.0e-010 1.63
68 7.9e-007 8.3e-003 5.0e-005 1.00e+000 1.724029940e+002 1.724048933e+002 4.5e-010 1.66
69 7.1e-007 8.2e-003 4.5e-005 1.00e+000 1.724031269e+002 1.724048363e+002 4.1e-010 1.67
70 6.4e-007 8.1e-003 4.1e-005 1.00e+000 1.724032465e+002 1.724047850e+002 3.7e-010 1.70
71 5.8e-007 8.1e-003 3.7e-005 1.00e+000 1.724033542e+002 1.724047388e+002 3.3e-010 1.72
72 5.2e-007 8.0e-003 3.3e-005 1.00e+000 1.724034510e+002 1.724046972e+002 3.0e-010 1.75
73 4.7e-007 8.0e-003 3.0e-005 1.00e+000 1.724035382e+002 1.724046597e+002 2.7e-010 1.76
74 4.2e-007 7.9e-003 2.7e-005 1.00e+000 1.724036166e+002 1.724046260e+002 2.4e-010 1.78
75 3.8e-007 7.9e-003 2.4e-005 1.00e+000 1.724036872e+002 1.724045957e+002 2.2e-010 1.81
76 3.4e-007 7.9e-003 2.2e-005 1.00e+000 1.724037507e+002 1.724045683e+002 2.0e-010 1.83
77 3.1e-007 7.8e-003 1.9e-005 1.00e+000 1.724038078e+002 1.724045437e+002 1.8e-010 1.86
78 2.8e-007 7.8e-003 1.8e-005 1.00e+000 1.724038593e+002 1.724045216e+002 1.6e-010 1.88
79 2.5e-007 7.8e-003 1.6e-005 1.00e+000 1.724039055e+002 1.724045016e+002 1.4e-010 1.91
80 2.2e-007 7.7e-003 1.4e-005 1.00e+000 1.724039472e+002 1.724044837e+002 1.3e-010 1.92
81 2.0e-007 7.7e-003 1.3e-005 9.99e-001 1.724039847e+002 1.724044675e+002 1.2e-010 1.94
82 1.8e-007 7.7e-003 1.1e-005 1.00e+000 1.724040184e+002 1.724044530e+002 1.0e-010 1.97
83 1.6e-007 7.7e-003 1.0e-005 9.99e-001 1.724040488e+002 1.724044398e+002 9.3e-011 1.98
84 1.5e-007 7.6e-003 9.3e-006 9.98e-001 1.724040761e+002 1.724044281e+002 8.4e-011 2.02
85 1.3e-007 7.6e-003 8.4e-006 9.98e-001 1.724041007e+002 1.724044174e+002 7.6e-011 2.03
86 1.2e-007 7.6e-003 7.5e-006 1.00e+000 1.724041229e+002 1.724044079e+002 6.8e-011 2.06
87 1.1e-007 7.6e-003 6.8e-006 1.00e+000 1.724041428e+002 1.724043992e+002 6.1e-011 2.08
88 9.6e-008 7.6e-003 6.1e-006 9.94e-001 1.724041607e+002 1.724043914e+002 5.5e-011 2.11
89 8.7e-008 6.8e-003 5.5e-006 1.00e+000 1.724041768e+002 1.724043843e+002 5.0e-011 2.13
90 7.8e-008 6.1e-003 4.9e-006 1.00e+000 1.724041913e+002 1.724043780e+002 4.5e-011 2.14
91 7.1e-008 5.5e-003 4.5e-006 9.99e-001 1.724042044e+002 1.724043723e+002 4.0e-011 2.17
92 6.3e-008 5.0e-003 4.0e-006 1.00e+000 1.724042161e+002 1.724043673e+002 3.6e-011 2.20
93 5.7e-008 4.5e-003 3.6e-006 1.01e+000 1.724042272e+002 1.724043626e+002 3.3e-011 2.22
94 5.1e-008 4.0e-003 3.2e-006 9.94e-001 1.724042366e+002 1.724043585e+002 2.9e-011 2.25
95 4.6e-008 3.6e-003 2.9e-006 9.82e-001 1.724042451e+002 1.724043548e+002 2.6e-011 2.27
96 4.2e-008 3.3e-003 2.6e-006 9.90e-001 1.724042528e+002 1.724043513e+002 2.4e-011 2.28
97 3.9e-008 2.9e-003 2.4e-006 9.97e-001 1.724042597e+002 1.724043483e+002 2.1e-011 2.31
98 3.5e-008 2.6e-003 2.1e-006 9.63e-001 1.724042659e+002 1.724043456e+002 1.9e-011 2.34
99 3.6e-008 2.4e-003 1.9e-006 1.01e+000 1.724042719e+002 1.724043427e+002 1.7e-011 2.38
100 3.8e-008 2.1e-003 1.7e-006 1.02e+000 1.724042774e+002 1.724043401e+002 1.6e-011 2.41
101 1.4e-007 1.6e-004 1.3e-007 1.04e+000 1.724043209e+002 1.724043260e+002 2.5e-012 2.42
102 1.2e-007 1.4e-004 1.2e-007 1.30e+000 1.724043211e+002 1.724043258e+002 2.3e-012 2.45
103 5.7e-008 1.4e-004 1.1e-007 1.95e+000 1.724043202e+002 1.724043232e+002 2.2e-012 2.48
104 5.7e-008 1.4e-004 1.1e-007 3.19e+000 1.724043202e+002 1.724043232e+002 2.2e-012 2.50
Interior-point optimizer terminated. Time: 2.50.
Optimizer terminated. Time: 2.73
solsta = 8, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : NEAR_OPTIMAL
Primal. obj: 1.7240432019e+002 nrm: 4e+001 Viol. con: 1e-006 var: 0e+000
Dual. obj: 1.7240432324e+002 nrm: 8e+002 Viol. con: 0e+000 var: 7e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.77 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 482
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 : 873
Optimizer - Cones : 0
Optimizer - Scalar variables : 3461 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 : 1.49e+004 after factor : 1.57e+005
Factor - dense dim. : 0 flops : 3.26e+007
Factor - GP saved nzs : 3.37e+004 GP saved flops : 9.34e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.6e+003 1.2e+005 0.00e+000 -1.238126509e+005 2.000000000e+000 1.0e+000 0.08
1 1.6e+003 2.6e+003 8.9e+004 -9.71e-001 -1.230510883e+005 2.650363256e+000 7.2e-001 0.20
2 8.5e+002 1.3e+003 4.6e+004 -9.59e-001 -1.206170664e+005 4.814398884e+000 3.7e-001 0.22
3 2.9e+002 4.6e+002 1.6e+004 -9.19e-001 -1.118236583e+005 2.026985183e+001 1.3e-001 0.23
4 2.9e+002 4.6e+002 1.6e+004 -7.72e-001 -1.096763765e+005 1.891649310e+003 1.3e-001 0.25
5 1.2e+002 1.9e+002 6.7e+003 -7.63e-001 -8.903852666e+004 6.177804575e+003 5.5e-002 0.27
6 4.4e+001 6.9e+001 2.4e+003 -4.63e-001 -5.173459779e+004 1.043357163e+004 1.9e-002 0.28
7 2.6e+001 4.1e+001 1.4e+003 1.59e-001 -3.558203685e+004 7.293502240e+003 1.1e-002 0.31
8 1.3e+001 2.0e+001 6.9e+002 4.62e-001 -1.932796888e+004 4.653790549e+003 5.7e-003 0.33
9 4.5e+000 7.1e+000 2.4e+002 7.43e-001 -6.926900912e+003 2.225725801e+003 2.0e-003 0.34
10 3.3e+000 5.2e+000 1.8e+002 9.39e-001 -4.989053956e+003 1.767779690e+003 1.5e-003 0.36
11 1.1e+000 1.8e+000 6.2e+001 9.62e-001 -1.615878522e+003 7.249085593e+002 5.1e-004 0.38
12 9.0e-001 1.5e+000 4.9e+001 9.87e-001 -1.238585526e+003 6.437112991e+002 4.0e-004 0.41
13 7.3e-001 1.2e+000 4.0e+001 9.68e-001 -9.911808462e+002 5.555059943e+002 3.3e-004 0.42
14 3.7e-001 6.3e-001 2.1e+001 9.89e-001 -4.014587224e+002 3.877636929e+002 1.7e-004 0.44
15 1.9e-001 3.3e-001 1.1e+001 9.96e-001 -1.367194321e+002 2.681540927e+002 8.7e-005 0.45
16 8.8e-002 1.8e-001 5.0e+000 1.00e+000 1.594045686e+001 2.061614430e+002 4.1e-005 0.47
17 7.9e-002 1.7e-001 4.4e+000 1.01e+000 3.839097695e+001 2.086302530e+002 3.7e-005 0.48
18 3.0e-002 9.3e-002 1.7e+000 1.01e+000 1.180000146e+002 1.820339290e+002 1.4e-005 0.52
19 1.2e-002 1.2e-001 6.7e-001 1.02e+000 1.483280804e+002 1.738049808e+002 5.6e-006 0.53
20 5.3e-003 3.5e-001 3.1e-001 1.01e+000 1.582714685e+002 1.697805283e+002 2.6e-006 0.55
21 2.1e-003 1.6e-001 1.3e-001 1.01e+000 1.635875712e+002 1.683036814e+002 1.1e-006 0.56
22 1.4e-003 1.1e-001 8.4e-002 1.01e+000 1.648125080e+002 1.679741731e+002 7.1e-007 0.58
23 5.7e-004 8.8e-002 3.4e-002 1.01e+000 1.661913618e+002 1.674714341e+002 2.9e-007 0.59
24 3.0e-004 7.7e-002 1.8e-002 1.01e+000 1.666300757e+002 1.672969517e+002 1.5e-007 0.61
25 2.7e-004 7.0e-002 1.6e-002 1.01e+000 1.666800028e+002 1.672800521e+002 1.4e-007 0.64
26 2.4e-004 6.4e-002 1.5e-002 1.01e+000 1.667223897e+002 1.672622403e+002 1.2e-007 0.66
27 2.2e-004 5.8e-002 1.3e-002 1.01e+000 1.667608493e+002 1.672465741e+002 1.1e-007 0.67
28 2.0e-004 5.3e-002 1.2e-002 1.01e+000 1.667952635e+002 1.672322985e+002 1.0e-007 0.69
29 1.8e-004 4.8e-002 1.1e-002 1.01e+000 1.668261248e+002 1.672193603e+002 9.1e-008 0.72
30 1.6e-004 4.4e-002 9.5e-003 1.01e+000 1.668537871e+002 1.672076213e+002 8.2e-008 0.73
31 1.4e-004 4.1e-002 8.6e-003 1.01e+000 1.668785842e+002 1.671969710e+002 7.3e-008 0.75
32 1.3e-004 3.7e-002 7.7e-003 1.01e+000 1.669008154e+002 1.671873113e+002 6.6e-008 0.77
33 1.2e-004 3.4e-002 7.0e-003 1.01e+000 1.669207486e+002 1.671785531e+002 6.0e-008 0.78
34 1.0e-004 3.2e-002 6.3e-003 1.01e+000 1.669386237e+002 1.671706120e+002 5.4e-008 0.80
35 9.4e-005 2.9e-002 5.6e-003 1.00e+000 1.669546577e+002 1.671634191e+002 4.8e-008 0.81
36 8.4e-005 2.7e-002 5.1e-003 1.00e+000 1.669690416e+002 1.671569028e+002 4.3e-008 0.84
37 7.6e-005 2.5e-002 4.6e-003 1.00e+000 1.669819484e+002 1.671510049e+002 3.9e-008 0.86
38 6.8e-005 2.4e-002 4.1e-003 1.00e+000 1.669935307e+002 1.671456658e+002 3.5e-008 0.89
39 6.1e-005 2.2e-002 3.7e-003 1.00e+000 1.670039269e+002 1.671408381e+002 3.2e-008 0.92
40 5.5e-005 2.1e-002 3.3e-003 1.00e+000 1.670132582e+002 1.671364674e+002 2.9e-008 0.94
41 5.0e-005 1.9e-002 3.0e-003 1.00e+000 1.670216371e+002 1.671325189e+002 2.6e-008 0.97
42 4.5e-005 1.8e-002 2.7e-003 1.00e+000 1.670291595e+002 1.671289476e+002 2.3e-008 0.98
43 4.0e-005 1.7e-002 2.4e-003 1.00e+000 1.670359152e+002 1.671257198e+002 2.1e-008 1.02
44 3.6e-005 1.6e-002 2.2e-003 1.00e+000 1.670419827e+002 1.671228035e+002 1.9e-008 1.03
45 3.3e-005 1.6e-002 2.0e-003 1.00e+000 1.670474325e+002 1.671201696e+002 1.7e-008 1.06
46 2.9e-005 1.5e-002 1.8e-003 1.00e+000 1.670523280e+002 1.671177897e+002 1.5e-008 1.08
47 2.6e-005 1.4e-002 1.6e-003 1.00e+000 1.670567264e+002 1.671156394e+002 1.4e-008 1.09
48 2.4e-005 1.4e-002 1.4e-003 1.00e+000 1.670606784e+002 1.671136994e+002 1.2e-008 1.13
49 2.1e-005 1.3e-002 1.3e-003 1.00e+000 1.670642294e+002 1.671119484e+002 1.1e-008 1.14
50 1.9e-005 1.3e-002 1.2e-003 1.00e+000 1.670674204e+002 1.671103666e+002 9.9e-009 1.17
51 1.7e-005 1.2e-002 1.0e-003 1.00e+000 1.670702885e+002 1.671089404e+002 9.0e-009 1.19
52 1.6e-005 1.2e-002 9.4e-004 1.00e+000 1.670728662e+002 1.671076517e+002 8.1e-009 1.22
53 1.4e-005 1.1e-002 8.5e-004 1.00e+000 1.670751837e+002 1.671064891e+002 7.3e-009 1.25
54 1.3e-005 1.1e-002 7.6e-004 1.00e+000 1.670772671e+002 1.671054398e+002 6.5e-009 1.27
55 1.1e-005 1.1e-002 6.9e-004 1.00e+000 1.670791398e+002 1.671044956e+002 5.9e-009 1.28
56 1.0e-005 1.1e-002 6.2e-004 1.00e+000 1.670808233e+002 1.671036444e+002 5.3e-009 1.31
57 9.2e-006 1.0e-002 5.6e-004 1.00e+000 1.670823371e+002 1.671028757e+002 4.8e-009 1.34
58 8.3e-006 1.0e-002 5.0e-004 1.00e+000 1.670836987e+002 1.671021814e+002 4.3e-009 1.38
59 7.5e-006 1.0e-002 4.5e-004 1.00e+000 1.670849229e+002 1.671015579e+002 3.9e-009 1.41
60 6.7e-006 9.8e-003 4.1e-004 1.00e+000 1.670860239e+002 1.671009946e+002 3.5e-009 1.44
61 6.1e-006 9.7e-003 3.6e-004 1.00e+000 1.670870143e+002 1.671004866e+002 3.1e-009 1.47
62 5.4e-006 9.5e-003 3.3e-004 1.00e+000 1.670879050e+002 1.671000292e+002 2.8e-009 1.50
63 2.1e-006 3.7e-003 1.3e-004 1.00e+000 1.670928066e+002 1.670974867e+002 1.1e-009 1.53
64 8.5e-007 1.5e-003 5.1e-005 1.00e+000 1.670946396e+002 1.670965308e+002 4.4e-010 1.56
65 7.6e-007 1.3e-003 4.6e-005 9.99e-001 1.670947681e+002 1.670964701e+002 3.9e-010 1.59
66 6.9e-007 1.2e-003 4.2e-005 9.96e-001 1.670948796e+002 1.670964117e+002 3.6e-010 1.63
67 6.2e-007 1.1e-003 3.7e-005 9.94e-001 1.670949802e+002 1.670963594e+002 3.2e-010 1.66
68 5.6e-007 9.7e-004 3.4e-005 1.02e+000 1.670950763e+002 1.670963083e+002 2.9e-010 1.70
69 5.0e-007 8.7e-004 3.0e-005 1.01e+000 1.670951602e+002 1.670962640e+002 2.6e-010 1.74
70 4.5e-007 7.9e-004 2.7e-005 9.35e-001 1.670952321e+002 1.670962286e+002 2.4e-010 1.77
71 4.0e-007 7.1e-004 2.5e-005 1.02e+000 1.670953015e+002 1.670961913e+002 2.1e-010 1.80
72 3.6e-007 6.4e-004 2.2e-005 9.92e-001 1.670953598e+002 1.670961607e+002 1.9e-010 1.83
73 3.3e-007 5.7e-004 2.0e-005 1.04e+000 1.670954214e+002 1.670961271e+002 1.8e-010 1.86
74 3.0e-007 5.2e-004 1.8e-005 9.88e-001 1.670954676e+002 1.670961030e+002 1.6e-010 1.89
75 2.7e-007 4.6e-004 1.6e-005 1.06e+000 1.670955197e+002 1.670960742e+002 1.5e-010 1.91
76 2.4e-007 4.2e-004 1.4e-005 1.10e+000 1.670955725e+002 1.670960442e+002 1.4e-010 1.94
77 2.2e-007 3.8e-004 1.3e-005 1.03e+000 1.670956081e+002 1.670960253e+002 1.3e-010 1.97
78 1.9e-007 3.4e-004 1.2e-005 1.02e+000 1.670956378e+002 1.670960098e+002 1.1e-010 2.00
79 1.8e-007 3.0e-004 1.1e-005 1.04e+000 1.670956662e+002 1.670959949e+002 1.1e-010 2.03
80 1.6e-007 2.7e-004 9.5e-006 9.14e-001 1.670956876e+002 1.670959846e+002 9.5e-011 2.06
81 1.4e-007 2.5e-004 8.6e-006 1.10e+000 1.670957161e+002 1.670959688e+002 8.9e-011 2.08
82 1.3e-007 2.2e-004 7.7e-006 9.36e-001 1.670957326e+002 1.670959608e+002 8.1e-011 2.11
83 1.2e-007 2.0e-004 6.9e-006 1.21e+000 1.670957622e+002 1.670959432e+002 8.0e-011 2.14
84 1.1e-007 1.8e-004 6.2e-006 9.16e-001 1.670957741e+002 1.670959378e+002 7.2e-011 2.17
85 9.6e-008 1.6e-004 5.6e-006 1.15e+000 1.670957924e+002 1.670959276e+002 7.0e-011 2.19
86 9.0e-008 1.5e-004 5.1e-006 1.23e+000 1.670958020e+002 1.670959218e+002 6.3e-011 2.22
87 8.2e-008 1.3e-004 4.5e-006 1.04e+000 1.670958115e+002 1.670959171e+002 5.8e-011 2.25
88 7.3e-008 1.2e-004 4.1e-006 9.60e-001 1.670958186e+002 1.670959139e+002 5.2e-011 2.28
89 6.3e-008 1.1e-004 3.7e-006 8.54e-001 1.670958250e+002 1.670959112e+002 4.7e-011 2.31
90 5.7e-008 9.6e-005 3.3e-006 1.04e+000 1.670958317e+002 1.670959078e+002 4.3e-011 2.33
91 5.2e-008 8.6e-005 3.0e-006 1.07e+000 1.670958385e+002 1.670959043e+002 4.0e-011 2.36
92 1.5e-007 7.7e-005 2.7e-006 3.94e+000 1.670958454e+002 1.670958957e+002 3.4e-011 2.39
93 1.4e-007 7.0e-005 2.4e-006 1.59e+000 1.670958496e+002 1.670958938e+002 3.0e-011 2.42
94 1.2e-007 6.3e-005 2.2e-006 8.42e-001 1.670958528e+002 1.670958929e+002 2.7e-011 2.45
95 1.1e-007 5.6e-005 2.0e-006 9.17e-001 1.670958558e+002 1.670958920e+002 2.5e-011 2.48
96 9.4e-008 5.1e-005 1.8e-006 1.01e+000 1.670958587e+002 1.670958911e+002 2.2e-011 2.52
97 9.9e-008 4.6e-005 1.6e-006 1.80e+000 1.670958617e+002 1.670958895e+002 2.0e-011 2.55
98 4.6e-008 2.8e-006 9.6e-008 7.66e-001 1.670958828e+002 1.670958848e+002 3.3e-012 2.58
Interior-point optimizer terminated. Time: 2.58.
Optimizer terminated. Time: 2.59
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709588282e+002 nrm: 2e+001 Viol. con: 7e-007 var: 0e+000
Dual. obj: 1.6709588476e+002 nrm: 9e+002 Viol. con: 0e+000 var: 1e-005
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.64 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 482
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 : 873
Optimizer - Cones : 0
Optimizer - Scalar variables : 3461 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 : 1.49e+004 after factor : 1.57e+005
Factor - dense dim. : 0 flops : 3.26e+007
Factor - GP saved nzs : 3.37e+004 GP saved flops : 9.34e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.6e+003 1.2e+005 0.00e+000 -1.237381387e+005 2.000000000e+000 1.0e+000 0.06
1 1.7e+003 2.6e+003 9.0e+004 -9.71e-001 -1.229906637e+005 2.631973865e+000 7.2e-001 0.11
2 8.7e+002 1.4e+003 4.7e+004 -9.59e-001 -1.206832757e+005 4.646109174e+000 3.8e-001 0.14
3 2.9e+002 4.6e+002 1.6e+004 -9.21e-001 -1.117414786e+005 2.003576797e+001 1.3e-001 0.19
4 2.9e+002 4.6e+002 1.6e+004 -7.73e-001 -1.095202402e+005 1.959574007e+003 1.3e-001 0.22
5 1.2e+002 1.9e+002 6.5e+003 -7.63e-001 -8.803289383e+004 6.397890417e+003 5.3e-002 0.25
6 4.0e+001 6.3e+001 2.2e+003 -4.49e-001 -4.816336316e+004 1.108413532e+004 1.8e-002 0.30
7 2.5e+001 3.9e+001 1.3e+003 2.21e-001 -3.420963523e+004 7.547788973e+003 1.1e-002 0.33
8 1.2e+001 1.8e+001 6.3e+002 4.88e-001 -1.784557689e+004 4.208787243e+003 5.1e-003 0.38
9 4.0e+000 6.3e+000 2.2e+002 7.71e-001 -6.140269099e+003 2.047431739e+003 1.8e-003 0.41
10 2.3e+000 3.7e+000 1.3e+002 9.50e-001 -3.408850880e+003 1.393352176e+003 1.0e-003 0.44
11 1.0e+000 1.6e+000 5.5e+001 9.83e-001 -1.382880121e+003 6.924348435e+002 4.5e-004 0.47
12 7.6e-001 1.2e+000 4.2e+001 9.81e-001 -1.041593126e+003 5.681242497e+002 3.4e-004 0.52
13 7.2e-001 1.1e+000 4.0e+001 9.86e-001 -9.788417471e+002 5.545577672e+002 3.3e-004 0.55
14 2.7e-001 4.6e-001 1.5e+001 9.85e-001 -2.667624799e+002 3.068382335e+002 1.2e-004 0.58
15 1.7e-001 4.4e-001 9.7e+000 1.00e+000 -1.221063499e+002 2.531292554e+002 8.1e-005 0.61
16 9.4e-002 2.4e-001 5.3e+000 1.00e+000 2.669604936e+000 2.060016183e+002 4.4e-005 0.64
17 9.3e-002 2.4e-001 5.2e+000 1.02e+000 5.979438076e+000 2.060265364e+002 4.4e-005 0.67
18 7.8e-002 2.0e-001 4.4e+000 1.02e+000 3.622733258e+001 2.037822954e+002 3.7e-005 0.70
19 3.5e-002 1.1e-001 2.0e+000 1.01e+000 1.086836778e+002 1.834032572e+002 1.6e-005 0.73
20 9.8e-003 1.8e-001 5.6e-001 1.01e+000 1.514715806e+002 1.724056302e+002 4.6e-006 0.77
21 2.9e-003 1.8e-001 1.7e-001 1.00e+000 1.618494290e+002 1.682869182e+002 1.4e-006 0.80
22 1.2e-003 1.4e-001 7.2e-002 1.01e+000 1.646738443e+002 1.673876277e+002 6.1e-007 0.83
23 8.0e-004 1.0e-001 4.8e-002 9.78e-001 1.653600509e+002 1.671377010e+002 4.0e-007 0.88
24 2.3e-004 1.1e-001 1.4e-002 9.85e-001 1.662662946e+002 1.667948162e+002 1.2e-007 0.91
25 7.5e-005 1.1e-001 4.7e-003 1.01e+000 1.665144849e+002 1.666909585e+002 4.1e-008 0.94
26 2.4e-005 1.1e-001 1.6e-003 1.01e+000 1.665972630e+002 1.666553356e+002 1.4e-008 0.97
27 7.5e-006 1.1e-001 4.9e-004 1.01e+000 1.666252635e+002 1.666433151e+002 4.3e-009 1.00
28 2.4e-006 1.1e-001 1.6e-004 1.00e+000 1.666337628e+002 1.666396014e+002 1.4e-009 1.03
29 8.2e-007 1.0e-001 5.3e-005 1.00e+000 1.666364136e+002 1.666383832e+002 4.8e-010 1.06
30 2.8e-007 9.7e-002 1.8e-005 1.00e+000 1.666372884e+002 1.666379663e+002 1.6e-010 1.09
31 2.5e-007 8.8e-002 1.7e-005 1.00e+000 1.666373373e+002 1.666379474e+002 1.5e-010 1.13
32 2.3e-007 8.0e-002 1.5e-005 1.00e+000 1.666373784e+002 1.666379275e+002 1.3e-010 1.16
33 2.0e-007 7.3e-002 1.3e-005 1.00e+000 1.666374154e+002 1.666379095e+002 1.2e-010 1.19
34 1.8e-007 6.6e-002 1.2e-005 1.00e+000 1.666374486e+002 1.666378933e+002 1.1e-010 1.22
35 1.7e-007 6.1e-002 1.1e-005 1.00e+000 1.666374785e+002 1.666378787e+002 9.7e-011 1.25
36 1.5e-007 5.5e-002 9.8e-006 1.00e+000 1.666375054e+002 1.666378656e+002 8.7e-011 1.28
37 1.3e-007 5.0e-002 8.8e-006 1.00e+000 1.666375296e+002 1.666378538e+002 7.9e-011 1.31
38 1.2e-007 4.6e-002 7.9e-006 1.00e+000 1.666375514e+002 1.666378431e+002 7.1e-011 1.34
39 1.1e-007 4.2e-002 7.1e-006 1.00e+000 1.666375710e+002 1.666378336e+002 6.4e-011 1.38
40 9.8e-008 3.9e-002 6.4e-006 1.00e+000 1.666375886e+002 1.666378249e+002 5.7e-011 1.41
41 8.8e-008 3.6e-002 5.8e-006 1.00e+000 1.666376045e+002 1.666378172e+002 5.2e-011 1.44
42 7.9e-008 3.3e-002 5.2e-006 1.00e+000 1.666376188e+002 1.666378102e+002 4.6e-011 1.47
43 7.1e-008 3.0e-002 4.7e-006 1.00e+000 1.666376317e+002 1.666378039e+002 4.2e-011 1.50
44 6.4e-008 2.8e-002 4.2e-006 9.99e-001 1.666376432e+002 1.666377982e+002 3.8e-011 1.53
45 5.8e-008 2.6e-002 3.8e-006 1.00e+000 1.666376537e+002 1.666377931e+002 3.4e-011 1.56
46 5.2e-008 2.4e-002 3.4e-006 9.99e-001 1.666376631e+002 1.666377885e+002 3.0e-011 1.58
47 4.7e-008 2.3e-002 3.1e-006 1.00e+000 1.666376715e+002 1.666377844e+002 2.7e-011 1.61
48 4.2e-008 2.1e-002 2.8e-006 9.96e-001 1.666376791e+002 1.666377807e+002 2.5e-011 1.66
49 3.8e-008 2.0e-002 2.5e-006 1.00e+000 1.666376859e+002 1.666377774e+002 2.2e-011 1.69
50 3.4e-008 1.8e-002 2.2e-006 1.00e+000 1.666376920e+002 1.666377744e+002 2.0e-011 1.72
51 3.1e-008 1.7e-002 2.0e-006 9.97e-001 1.666376976e+002 1.666377717e+002 1.8e-011 1.75
52 2.8e-008 1.6e-002 1.8e-006 9.98e-001 1.666377025e+002 1.666377692e+002 1.6e-011 1.78
53 2.5e-008 1.5e-002 1.6e-006 9.97e-001 1.666377070e+002 1.666377670e+002 1.5e-011 1.81
54 2.2e-008 1.5e-002 1.5e-006 1.00e+000 1.666377111e+002 1.666377650e+002 1.3e-011 1.84
55 2.0e-008 1.4e-002 1.3e-006 9.97e-001 1.666377147e+002 1.666377633e+002 1.2e-011 1.88
56 1.8e-008 1.3e-002 1.2e-006 9.98e-001 1.666377179e+002 1.666377617e+002 1.1e-011 1.91
57 1.6e-008 1.3e-002 1.1e-006 9.93e-001 1.666377209e+002 1.666377603e+002 9.6e-012 1.94
58 1.5e-008 1.2e-002 9.6e-007 1.01e+000 1.666377236e+002 1.666377589e+002 8.6e-012 1.97
59 1.3e-008 1.2e-002 8.7e-007 9.98e-001 1.666377259e+002 1.666377578e+002 7.8e-012 2.00
60 1.2e-008 1.1e-002 7.8e-007 9.89e-001 1.666377281e+002 1.666377567e+002 7.0e-012 2.03
61 1.1e-008 1.1e-002 7.0e-007 1.01e+000 1.666377301e+002 1.666377557e+002 6.3e-012 2.06
62 9.6e-009 1.1e-002 6.3e-007 1.00e+000 1.666377318e+002 1.666377549e+002 5.7e-012 2.09
63 8.7e-009 1.0e-002 5.7e-007 9.99e-001 1.666377333e+002 1.666377541e+002 5.1e-012 2.13
64 1.4e-008 9.3e-003 5.1e-007 1.11e+000 1.666377356e+002 1.666377522e+002 4.8e-012 2.16
65 1.3e-008 8.4e-003 4.6e-007 1.02e+000 1.666377369e+002 1.666377516e+002 4.3e-012 2.19
66 1.2e-008 8.4e-003 4.1e-007 9.90e-001 1.666377379e+002 1.666377512e+002 3.9e-012 2.20
67 1.0e-008 7.5e-003 3.7e-007 1.00e+000 1.666377389e+002 1.666377508e+002 3.5e-012 2.23
68 9.4e-009 6.8e-003 3.4e-007 1.01e+000 1.666377398e+002 1.666377504e+002 3.2e-012 2.27
69 3.1e-009 7.8e-004 3.9e-008 1.02e+000 1.666377464e+002 1.666377476e+002 3.4e-013 2.30
Interior-point optimizer terminated. Time: 2.30.
Optimizer terminated. Time: 2.31
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774640e+002 nrm: 2e+001 Viol. con: 8e-008 var: 0e+000
Dual. obj: 1.6663774760e+002 nrm: 9e+002 Viol. con: 0e+000 var: 5e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.33 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 482
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.01
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 873
Optimizer - Cones : 0
Optimizer - Scalar variables : 3461 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 : 0.02
Factor - nonzeros before factor : 1.49e+004 after factor : 1.57e+005
Factor - dense dim. : 0 flops : 3.26e+007
Factor - GP saved nzs : 3.37e+004 GP saved flops : 9.34e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.6e+003 1.2e+005 0.00e+000 -1.237643981e+005 2.000000000e+000 1.0e+000 0.05
1 1.7e+003 2.6e+003 9.0e+004 -9.71e-001 -1.230225815e+005 2.624492334e+000 7.3e-001 0.08
2 8.8e+002 1.4e+003 4.7e+004 -9.59e-001 -1.207161994e+005 4.633191341e+000 3.8e-001 0.11
3 2.9e+002 4.6e+002 1.6e+004 -9.21e-001 -1.117206115e+005 1.998218488e+001 1.3e-001 0.14
4 2.9e+002 4.6e+002 1.6e+004 -7.72e-001 -1.094303395e+005 2.017689877e+003 1.3e-001 0.16
5 1.2e+002 1.9e+002 6.4e+003 -7.62e-001 -8.790500454e+004 6.399860715e+003 5.3e-002 0.19
6 4.2e+001 6.6e+001 2.3e+003 -4.47e-001 -4.978766235e+004 1.093529797e+004 1.9e-002 0.22
7 2.5e+001 3.9e+001 1.4e+003 1.91e-001 -3.447694166e+004 7.525061837e+003 1.1e-002 0.25
8 1.3e+001 2.0e+001 7.0e+002 4.83e-001 -1.959474428e+004 4.676569825e+003 5.7e-003 0.27
9 4.9e+000 7.7e+000 2.7e+002 7.42e-001 -7.623466548e+003 2.303652108e+003 2.2e-003 0.30
10 2.3e+000 3.7e+000 1.3e+002 9.30e-001 -3.390669268e+003 1.405436831e+003 1.0e-003 0.33
11 1.5e+000 2.3e+000 8.2e+001 9.81e-001 -2.137753120e+003 9.567947618e+002 6.7e-004 0.36
12 8.7e-001 1.4e+000 4.7e+001 9.87e-001 -1.180926620e+003 6.303411846e+002 3.9e-004 0.39
13 7.6e-001 1.2e+000 4.2e+001 9.56e-001 -1.046019996e+003 5.694886473e+002 3.4e-004 0.42
14 3.8e-001 6.3e-001 2.1e+001 9.87e-001 -4.308283245e+002 3.845052684e+002 1.8e-004 0.45
15 1.9e-001 3.1e-001 1.0e+001 9.98e-001 -1.381034509e+002 2.618057151e+002 8.6e-005 0.48
16 9.4e-002 1.8e-001 5.2e+000 1.01e+000 6.198480969e+000 2.069014668e+002 4.4e-005 0.52
17 9.0e-002 1.7e-001 5.0e+000 1.01e+000 1.607627899e+001 2.087606484e+002 4.2e-005 0.55
18 6.2e-002 1.2e-001 3.5e+000 1.01e+000 6.248801048e+001 1.958095615e+002 2.9e-005 0.58
19 3.0e-002 8.0e-002 1.7e+000 1.01e+000 1.175526200e+002 1.811173639e+002 1.4e-005 0.61
20 8.6e-003 1.8e-001 4.9e-001 1.01e+000 1.531604668e+002 1.716498355e+002 4.1e-006 0.64
21 2.6e-003 1.9e-001 1.5e-001 1.00e+000 1.623467102e+002 1.679727270e+002 1.3e-006 0.67
22 1.5e-003 1.2e-001 8.7e-002 1.00e+000 1.641425279e+002 1.674215398e+002 7.3e-007 0.72
23 5.2e-004 1.0e-001 3.1e-002 1.01e+000 1.656955426e+002 1.668667722e+002 2.7e-007 0.75
24 1.9e-004 1.0e-001 1.2e-002 1.01e+000 1.662236131e+002 1.666615953e+002 1.0e-007 0.78
25 1.7e-004 9.2e-002 1.1e-002 1.01e+000 1.662574308e+002 1.666514712e+002 9.1e-008 0.81
26 1.5e-004 8.3e-002 9.5e-003 1.01e+000 1.662851971e+002 1.666396959e+002 8.2e-008 0.84
27 1.4e-004 7.6e-002 8.5e-003 1.01e+000 1.663103248e+002 1.666292647e+002 7.4e-008 0.88
28 1.3e-004 6.9e-002 7.7e-003 1.01e+000 1.663328256e+002 1.666197816e+002 6.6e-008 0.91
29 1.1e-004 6.3e-002 6.9e-003 1.01e+000 1.663530167e+002 1.666112027e+002 6.0e-008 0.94
30 1.0e-004 5.7e-002 6.2e-003 1.01e+000 1.663711303e+002 1.666034367e+002 5.4e-008 0.97
31 9.2e-005 5.2e-002 5.6e-003 1.01e+000 1.663873821e+002 1.665964077e+002 4.8e-008 1.00
32 8.2e-005 4.8e-002 5.0e-003 1.01e+000 1.664019643e+002 1.665900463e+002 4.4e-008 1.03
33 7.4e-005 4.4e-002 4.5e-003 1.01e+000 1.664150496e+002 1.665842901e+002 3.9e-008 1.05
34 6.7e-005 4.0e-002 4.1e-003 1.01e+000 1.664267930e+002 1.665790823e+002 3.5e-008 1.08
35 6.0e-005 3.7e-002 3.7e-003 1.01e+000 1.664373332e+002 1.665743716e+002 3.2e-008 1.11
36 5.4e-005 3.4e-002 3.3e-003 1.00e+000 1.664467947e+002 1.665701115e+002 2.9e-008 1.14
37 4.9e-005 3.1e-002 3.0e-003 1.00e+000 1.664552888e+002 1.665662596e+002 2.6e-008 1.17
38 4.4e-005 2.9e-002 2.7e-003 1.00e+000 1.664629153e+002 1.665627776e+002 2.3e-008 1.20
39 3.9e-005 2.7e-002 2.4e-003 1.00e+000 1.664697636e+002 1.665596305e+002 2.1e-008 1.23
40 3.5e-005 2.5e-002 2.2e-003 1.00e+000 1.664759138e+002 1.665567866e+002 1.9e-008 1.26
41 3.2e-005 2.3e-002 2.0e-003 1.00e+000 1.664814375e+002 1.665542173e+002 1.7e-008 1.30
42 2.9e-005 2.2e-002 1.8e-003 1.00e+000 1.664863993e+002 1.665518964e+002 1.5e-008 1.33
43 2.6e-005 2.0e-002 1.6e-003 1.00e+000 1.664908566e+002 1.665498003e+002 1.4e-008 1.36
44 2.3e-005 1.9e-002 1.4e-003 1.00e+000 1.664948612e+002 1.665479077e+002 1.2e-008 1.38
45 2.1e-005 1.8e-002 1.3e-003 1.00e+000 1.664984594e+002 1.665461990e+002 1.1e-008 1.41
46 1.9e-005 1.7e-002 1.2e-003 1.00e+000 1.665016929e+002 1.665446568e+002 1.0e-008 1.44
47 1.7e-005 1.6e-002 1.0e-003 1.00e+000 1.665045989e+002 1.665432650e+002 9.0e-009 1.47
48 1.5e-005 1.5e-002 9.4e-004 1.00e+000 1.665072109e+002 1.665420094e+002 8.1e-009 1.50
49 1.4e-005 1.5e-002 8.4e-004 1.00e+000 1.665095589e+002 1.665408767e+002 7.3e-009 1.53
50 1.2e-005 1.4e-002 7.6e-004 1.00e+000 1.665116698e+002 1.665398553e+002 6.6e-009 1.56
51 1.1e-005 1.3e-002 6.8e-004 1.00e+000 1.665135678e+002 1.665389343e+002 5.9e-009 1.59
52 1.0e-005 1.3e-002 6.1e-004 1.00e+000 1.665152745e+002 1.665381040e+002 5.3e-009 1.63
53 9.0e-006 1.2e-002 5.5e-004 1.00e+000 1.665168094e+002 1.665373557e+002 4.8e-009 1.64
54 8.1e-006 1.2e-002 5.0e-004 1.00e+000 1.665181898e+002 1.665366813e+002 4.3e-009 1.67
55 7.3e-006 1.2e-002 4.5e-004 1.00e+000 1.665194313e+002 1.665360736e+002 3.9e-009 1.70
56 6.6e-006 1.1e-002 4.0e-004 1.00e+000 1.665205481e+002 1.665355261e+002 3.5e-009 1.73
57 5.9e-006 1.1e-002 3.6e-004 1.00e+000 1.665215526e+002 1.665350328e+002 3.1e-009 1.76
58 5.3e-006 1.1e-002 3.3e-004 1.00e+000 1.665224562e+002 1.665345883e+002 2.8e-009 1.80
59 4.8e-006 1.0e-002 2.9e-004 1.00e+000 1.665232690e+002 1.665341879e+002 2.5e-009 1.81
60 4.3e-006 1.0e-002 2.6e-004 1.00e+000 1.665240001e+002 1.665338272e+002 2.3e-009 1.84
61 3.9e-006 1.0e-002 2.4e-004 1.00e+000 1.665246577e+002 1.665335021e+002 2.1e-009 1.88
62 3.5e-006 9.8e-003 2.1e-004 1.00e+000 1.665252492e+002 1.665332092e+002 1.9e-009 1.91
63 3.1e-006 9.6e-003 1.9e-004 1.00e+000 1.665257812e+002 1.665329453e+002 1.7e-009 1.94
64 2.8e-006 9.5e-003 1.7e-004 1.00e+000 1.665262598e+002 1.665327074e+002 1.5e-009 1.95
65 2.5e-006 9.3e-003 1.6e-004 1.00e+000 1.665266902e+002 1.665324931e+002 1.4e-009 1.98
66 2.3e-006 9.2e-003 1.4e-004 1.00e+000 1.665270774e+002 1.665323000e+002 1.2e-009 2.02
67 2.1e-006 9.1e-003 1.3e-004 1.00e+000 1.665274257e+002 1.665321261e+002 1.1e-009 2.05
68 1.9e-006 9.0e-003 1.1e-004 1.00e+000 1.665277390e+002 1.665319694e+002 9.8e-010 2.08
69 1.7e-006 8.9e-003 1.0e-004 1.00e+000 1.665280209e+002 1.665318283e+002 8.9e-010 2.09
70 1.5e-006 8.8e-003 9.2e-005 1.00e+000 1.665282744e+002 1.665317011e+002 8.0e-010 2.13
71 1.4e-006 8.8e-003 8.3e-005 1.00e+000 1.665285026e+002 1.665315866e+002 7.2e-010 2.14
72 1.2e-006 8.7e-003 7.5e-005 1.00e+000 1.665287078e+002 1.665314834e+002 6.5e-010 2.17
73 1.1e-006 8.6e-003 6.7e-005 1.00e+000 1.665288924e+002 1.665313905e+002 5.8e-010 2.19
74 9.9e-007 8.6e-003 6.1e-005 1.00e+000 1.665290584e+002 1.665313067e+002 5.2e-010 2.20
75 8.9e-007 8.5e-003 5.5e-005 1.00e+000 1.665292078e+002 1.665312313e+002 4.7e-010 2.23
76 8.0e-007 8.5e-003 4.9e-005 1.00e+000 1.665293421e+002 1.665311633e+002 4.2e-010 2.25
77 7.2e-007 8.4e-003 4.4e-005 1.00e+000 1.665294630e+002 1.665311020e+002 3.8e-010 2.28
78 6.5e-007 8.4e-003 4.0e-005 1.00e+000 1.665295716e+002 1.665310468e+002 3.4e-010 2.30
79 5.8e-007 8.4e-003 3.6e-005 1.00e+000 1.665296694e+002 1.665309970e+002 3.1e-010 2.31
80 5.2e-007 8.3e-003 3.2e-005 1.00e+000 1.665297572e+002 1.665309521e+002 2.8e-010 2.34
81 4.7e-007 8.3e-003 2.9e-005 1.00e+000 1.665298363e+002 1.665309117e+002 2.5e-010 2.36
82 4.2e-007 8.3e-003 2.6e-005 1.00e+000 1.665299073e+002 1.665308752e+002 2.3e-010 2.39
83 3.8e-007 8.2e-003 2.3e-005 1.00e+000 1.665299712e+002 1.665308423e+002 2.0e-010 2.41
84 3.4e-007 8.2e-003 2.1e-005 1.00e+000 1.665300287e+002 1.665308127e+002 1.8e-010 2.42
85 3.1e-007 8.2e-003 1.9e-005 1.00e+000 1.665300804e+002 1.665307860e+002 1.6e-010 2.45
86 2.8e-007 8.2e-003 1.7e-005 1.00e+000 1.665301269e+002 1.665307619e+002 1.5e-010 2.47
87 2.5e-007 8.1e-003 1.5e-005 1.00e+000 1.665301687e+002 1.665307402e+002 1.3e-010 2.50
88 2.3e-007 8.1e-003 1.4e-005 1.00e+000 1.665302063e+002 1.665307207e+002 1.2e-010 2.52
89 2.0e-007 8.1e-003 1.2e-005 1.00e+000 1.665302401e+002 1.665307031e+002 1.1e-010 2.55
90 1.8e-007 8.1e-003 1.1e-005 1.00e+000 1.665302706e+002 1.665306872e+002 9.7e-011 2.56
91 1.6e-007 8.1e-003 1.0e-005 1.00e+000 1.665302980e+002 1.665306730e+002 8.7e-011 2.58
92 1.5e-007 8.0e-003 9.1e-006 1.00e+000 1.665303226e+002 1.665306601e+002 7.9e-011 2.61
93 1.3e-007 8.0e-003 8.2e-006 1.00e+000 1.665303448e+002 1.665306485e+002 7.1e-011 2.63
94 1.2e-007 8.0e-003 7.4e-006 1.00e+000 1.665303647e+002 1.665306381e+002 6.4e-011 2.66
95 1.1e-007 8.0e-003 6.6e-006 1.00e+000 1.665303827e+002 1.665306287e+002 5.7e-011 2.67
96 9.7e-008 8.0e-003 6.0e-006 1.00e+000 1.665303988e+002 1.665306203e+002 5.2e-011 2.70
97 8.7e-008 7.9e-003 5.4e-006 1.00e+000 1.665304133e+002 1.665306127e+002 4.6e-011 2.72
98 7.9e-008 7.9e-003 4.8e-006 9.99e-001 1.665304264e+002 1.665306060e+002 4.2e-011 2.73
99 7.1e-008 7.1e-003 4.3e-006 9.99e-001 1.665304382e+002 1.665305997e+002 3.8e-011 2.77
100 6.4e-008 6.4e-003 3.9e-006 1.00e+000 1.665304488e+002 1.665305939e+002 3.4e-011 2.78
101 5.7e-008 5.7e-003 3.5e-006 1.00e+000 1.665304584e+002 1.665305889e+002 3.0e-011 2.81
102 5.2e-008 5.2e-003 3.2e-006 1.00e+000 1.665304669e+002 1.665305844e+002 2.7e-011 2.83
103 4.6e-008 4.7e-003 2.9e-006 1.00e+000 1.665304747e+002 1.665305804e+002 2.5e-011 2.84
104 4.2e-008 4.2e-003 2.6e-006 1.00e+000 1.665304816e+002 1.665305768e+002 2.2e-011 2.88
105 3.8e-008 3.8e-003 2.3e-006 1.00e+000 1.665304878e+002 1.665305735e+002 2.0e-011 2.89
106 3.4e-008 3.4e-003 2.1e-006 1.00e+000 1.665304935e+002 1.665305706e+002 1.8e-011 2.92
107 3.0e-008 3.1e-003 1.9e-006 1.00e+000 1.665304985e+002 1.665305679e+002 1.6e-011 2.94
108 2.7e-008 2.7e-003 1.7e-006 9.98e-001 1.665305031e+002 1.665305655e+002 1.5e-011 2.95
109 2.5e-008 2.5e-003 1.5e-006 1.00e+000 1.665305072e+002 1.665305634e+002 1.3e-011 2.98
110 2.2e-008 2.2e-003 1.4e-006 9.98e-001 1.665305109e+002 1.665305615e+002 1.2e-011 3.00
111 2.0e-008 2.0e-003 1.2e-006 9.98e-001 1.665305142e+002 1.665305597e+002 1.1e-011 3.03
112 1.8e-008 1.8e-003 1.1e-006 9.95e-001 1.665305172e+002 1.665305582e+002 9.6e-012 3.05
113 1.6e-008 1.6e-003 1.0e-006 9.96e-001 1.665305199e+002 1.665305568e+002 8.6e-012 3.08
114 1.5e-008 1.5e-003 9.0e-007 1.00e+000 1.665305223e+002 1.665305555e+002 7.8e-012 3.09
115 1.3e-008 1.3e-003 8.1e-007 1.00e+000 1.665305245e+002 1.665305543e+002 7.0e-012 3.11
116 1.2e-008 1.2e-003 7.3e-007 9.98e-001 1.665305265e+002 1.665305533e+002 6.3e-012 3.14
117 1.1e-008 1.1e-003 6.5e-007 9.99e-001 1.665305282e+002 1.665305524e+002 5.7e-012 3.16
118 1.0e-008 9.6e-004 5.9e-007 9.96e-001 1.665305298e+002 1.665305516e+002 5.1e-012 3.19
119 9.1e-009 8.6e-004 5.3e-007 1.00e+000 1.665305313e+002 1.665305508e+002 4.6e-012 3.20
120 8.4e-009 7.8e-004 4.8e-007 9.77e-001 1.665305325e+002 1.665305503e+002 4.1e-012 3.22
121 7.5e-009 7.0e-004 4.3e-007 9.91e-001 1.665305336e+002 1.665305497e+002 3.7e-012 3.25
122 6.8e-009 6.3e-004 3.9e-007 9.91e-001 1.665305347e+002 1.665305491e+002 3.3e-012 3.27
123 1.1e-008 5.7e-004 3.5e-007 9.85e-001 1.665305357e+002 1.665305484e+002 3.0e-012 3.30
124 1.1e-008 5.1e-004 3.1e-007 9.99e-001 1.665305365e+002 1.665305479e+002 2.7e-012 3.31
125 9.2e-009 4.6e-004 2.8e-007 9.94e-001 1.665305373e+002 1.665305475e+002 2.4e-012 3.33
126 8.8e-009 4.1e-004 2.5e-007 9.91e-001 1.665305379e+002 1.665305473e+002 2.2e-012 3.36
127 7.9e-009 3.7e-004 2.3e-007 1.01e+000 1.665305386e+002 1.665305470e+002 2.0e-012 3.38
128 7.5e-009 3.3e-004 2.0e-007 9.96e-001 1.665305391e+002 1.665305467e+002 1.8e-012 3.41
129 6.8e-009 3.0e-004 1.8e-007 9.90e-001 1.665305396e+002 1.665305465e+002 1.6e-012 3.42
130 6.1e-009 2.7e-004 1.7e-007 1.01e+000 1.665305401e+002 1.665305462e+002 1.5e-012 3.45
131 5.6e-009 2.4e-004 1.5e-007 9.99e-001 1.665305405e+002 1.665305460e+002 1.3e-012 3.47
132 6.2e-010 2.6e-005 1.6e-008 1.00e+000 1.665305437e+002 1.665305443e+002 1.4e-013 3.50
Interior-point optimizer terminated. Time: 3.50.
Optimizer terminated. Time: 3.52
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054370e+002 nrm: 2e+001 Viol. con: 1e-008 var: 0e+000
Dual. obj: 1.6653054428e+002 nrm: 1e+003 Viol. con: 0e+000 var: 2e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.55 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 482
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 : 873
Optimizer - Cones : 0
Optimizer - Scalar variables : 3461 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 : 1.49e+004 after factor : 1.57e+005
Factor - dense dim. : 0 flops : 3.26e+007
Factor - GP saved nzs : 3.37e+004 GP saved flops : 9.34e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.6e+003 1.2e+005 0.00e+000 -1.237614176e+005 2.000000000e+000 1.0e+000 0.09
1 1.7e+003 2.6e+003 9.0e+004 -9.71e-001 -1.230194632e+005 2.622530195e+000 7.3e-001 0.13
2 8.8e+002 1.4e+003 4.7e+004 -9.59e-001 -1.207182574e+005 4.623129099e+000 3.8e-001 0.16
3 2.9e+002 4.6e+002 1.6e+004 -9.22e-001 -1.116696094e+005 2.003133301e+001 1.3e-001 0.17
4 2.9e+002 4.5e+002 1.6e+004 -7.71e-001 -1.094001070e+005 2.004781676e+003 1.3e-001 0.20
5 1.2e+002 1.9e+002 6.4e+003 -7.62e-001 -8.780016219e+004 6.388964038e+003 5.2e-002 0.22
6 3.3e+001 5.2e+001 1.8e+003 -4.45e-001 -4.132754079e+004 1.190851548e+004 1.5e-002 0.25
7 2.0e+001 3.2e+001 1.1e+003 3.44e-001 -2.865093775e+004 7.491195764e+003 9.1e-003 0.27
8 1.0e+001 1.6e+001 5.5e+002 5.88e-001 -1.560149478e+004 4.151727973e+003 4.5e-003 0.30
9 3.8e+000 6.0e+000 2.1e+002 8.10e-001 -5.906690706e+003 1.919275951e+003 1.7e-003 0.31
10 2.1e+000 3.3e+000 1.1e+002 9.51e-001 -3.062100827e+003 1.223250888e+003 9.3e-004 0.34
11 8.8e-001 1.4e+000 4.8e+001 9.86e-001 -1.196539104e+003 6.475338236e+002 4.0e-004 0.36
12 8.4e-001 1.3e+000 4.6e+001 9.66e-001 -1.154901935e+003 6.153276339e+002 3.8e-004 0.39
13 5.3e-001 8.3e-001 2.9e+001 9.73e-001 -6.920986248e+002 4.394521206e+002 2.4e-004 0.41
14 3.5e-001 5.5e-001 1.9e+001 1.00e+000 -3.765621170e+002 3.604336223e+002 1.6e-004 0.44
15 1.4e-001 2.3e-001 7.6e+000 9.97e-001 -6.193677577e+001 2.304925545e+002 6.3e-005 0.45
16 8.3e-002 1.5e-001 4.7e+000 1.01e+000 2.324306288e+001 2.024961461e+002 3.9e-005 0.48
17 8.0e-002 1.4e-001 4.5e+000 1.02e+000 2.986133389e+001 2.010838925e+002 3.7e-005 0.50
18 4.6e-002 8.8e-002 2.6e+000 1.02e+000 8.987923220e+001 1.886690777e+002 2.2e-005 0.53
19 1.1e-002 1.3e-001 6.3e-001 1.01e+000 1.487636780e+002 1.725604526e+002 5.3e-006 0.55
20 3.8e-003 1.2e-001 2.2e-001 1.01e+000 1.603396643e+002 1.686771413e+002 1.9e-006 0.58
21 2.6e-003 8.7e-002 1.5e-001 1.01e+000 1.622335869e+002 1.680135476e+002 1.3e-006 0.59
22 8.3e-004 1.2e-001 5.0e-002 1.01e+000 1.651608410e+002 1.670157867e+002 4.2e-007 0.63
23 3.8e-004 9.5e-002 2.3e-002 9.99e-001 1.658742116e+002 1.667284469e+002 2.0e-007 0.64
24 1.5e-004 9.2e-002 9.1e-003 9.96e-001 1.662417547e+002 1.665793398e+002 7.8e-008 0.67
25 5.9e-005 9.0e-002 3.7e-003 1.01e+000 1.663814898e+002 1.665191270e+002 3.2e-008 0.69
26 2.6e-005 8.3e-002 1.7e-003 1.01e+000 1.664339138e+002 1.664949883e+002 1.4e-008 0.70
27 2.3e-005 7.5e-002 1.5e-003 1.01e+000 1.664388872e+002 1.664938763e+002 1.3e-008 0.73
28 2.1e-005 6.8e-002 1.3e-003 1.01e+000 1.664425304e+002 1.664920067e+002 1.2e-008 0.75
29 1.9e-005 6.2e-002 1.2e-003 1.00e+000 1.664458846e+002 1.664904061e+002 1.0e-008 0.78
30 1.7e-005 5.7e-002 1.1e-003 1.00e+000 1.664488873e+002 1.664889501e+002 9.4e-009 0.80
31 1.5e-005 5.2e-002 9.7e-004 1.00e+000 1.664515876e+002 1.664876389e+002 8.5e-009 0.83
32 1.4e-005 4.7e-002 8.8e-004 1.00e+000 1.664540141e+002 1.664864561e+002 7.6e-009 0.84
33 1.2e-005 4.3e-002 7.9e-004 1.00e+000 1.664561952e+002 1.664853896e+002 6.9e-009 0.88
34 1.1e-005 4.0e-002 7.1e-004 1.00e+000 1.664581559e+002 1.664844281e+002 6.2e-009 0.89
35 1.0e-005 3.7e-002 6.4e-004 1.00e+000 1.664599186e+002 1.664835614e+002 5.6e-009 0.91
36 9.1e-006 3.4e-002 5.8e-004 1.00e+000 1.664615034e+002 1.664827802e+002 5.0e-009 0.94
37 8.2e-006 3.1e-002 5.2e-004 1.00e+000 1.664629286e+002 1.664820762e+002 4.5e-009 0.95
38 7.4e-006 2.9e-002 4.7e-004 1.00e+000 1.664642102e+002 1.664814419e+002 4.1e-009 0.98
39 6.6e-006 2.7e-002 4.2e-004 1.00e+000 1.664653628e+002 1.664808704e+002 3.7e-009 1.00
40 6.0e-006 2.5e-002 3.8e-004 1.00e+000 1.664663995e+002 1.664803556e+002 3.3e-009 1.03
41 5.4e-006 2.3e-002 3.4e-004 1.00e+000 1.664673319e+002 1.664798919e+002 3.0e-009 1.05
42 4.8e-006 2.2e-002 3.1e-004 1.00e+000 1.664681708e+002 1.664794743e+002 2.7e-009 1.06
43 4.4e-006 2.0e-002 2.8e-004 1.00e+000 1.664689253e+002 1.664790981e+002 2.4e-009 1.09
44 3.9e-006 1.9e-002 2.5e-004 1.00e+000 1.664696041e+002 1.664787593e+002 2.2e-009 1.11
45 3.5e-006 1.8e-002 2.2e-004 1.00e+000 1.664702147e+002 1.664784542e+002 1.9e-009 1.14
46 3.2e-006 1.7e-002 2.0e-004 1.00e+000 1.664707640e+002 1.664781794e+002 1.8e-009 1.16
47 2.9e-006 1.6e-002 1.8e-004 1.00e+000 1.664712582e+002 1.664779319e+002 1.6e-009 1.17
48 2.6e-006 1.5e-002 1.6e-004 1.00e+000 1.664717028e+002 1.664777091e+002 1.4e-009 1.20
49 2.3e-006 1.4e-002 1.5e-004 1.00e+000 1.664721029e+002 1.664775084e+002 1.3e-009 1.22
50 2.1e-006 1.4e-002 1.3e-004 1.00e+000 1.664724629e+002 1.664773278e+002 1.1e-009 1.25
51 1.9e-006 1.3e-002 1.2e-004 1.00e+000 1.664727869e+002 1.664771653e+002 1.0e-009 1.27
52 1.7e-006 1.3e-002 1.1e-004 1.00e+000 1.664730784e+002 1.664770189e+002 9.3e-010 1.28
53 1.5e-006 1.2e-002 9.6e-005 1.00e+000 1.664733408e+002 1.664768872e+002 8.4e-010 1.31
54 1.4e-006 1.2e-002 8.6e-005 1.00e+000 1.664735769e+002 1.664767687e+002 7.5e-010 1.33
55 1.2e-006 1.1e-002 7.8e-005 1.00e+000 1.664737894e+002 1.664766620e+002 6.8e-010 1.36
56 1.1e-006 1.1e-002 7.0e-005 1.00e+000 1.664739806e+002 1.664765660e+002 6.1e-010 1.38
57 1.0e-006 1.1e-002 6.3e-005 1.00e+000 1.664741527e+002 1.664764795e+002 5.5e-010 1.39
58 9.0e-007 1.0e-002 5.7e-005 1.00e+000 1.664743076e+002 1.664764017e+002 4.9e-010 1.42
59 8.1e-007 1.0e-002 5.1e-005 1.00e+000 1.664744469e+002 1.664763316e+002 4.5e-010 1.44
60 7.3e-007 9.8e-003 4.6e-005 1.00e+000 1.664745723e+002 1.664762685e+002 4.0e-010 1.47
61 6.5e-007 9.6e-003 4.1e-005 1.00e+000 1.664746851e+002 1.664762117e+002 3.6e-010 1.49
62 5.9e-007 9.4e-003 3.7e-005 1.00e+000 1.664747866e+002 1.664761605e+002 3.2e-010 1.52
63 5.3e-007 9.3e-003 3.4e-005 1.00e+000 1.664748779e+002 1.664761145e+002 2.9e-010 1.53
64 4.8e-007 9.1e-003 3.0e-005 1.00e+000 1.664749600e+002 1.664760730e+002 2.6e-010 1.56
65 4.3e-007 9.0e-003 2.7e-005 1.00e+000 1.664750339e+002 1.664760356e+002 2.4e-010 1.58
66 3.9e-007 8.8e-003 2.4e-005 1.00e+000 1.664751004e+002 1.664760019e+002 2.1e-010 1.59
67 3.5e-007 8.7e-003 2.2e-005 1.00e+000 1.664751602e+002 1.664759715e+002 1.9e-010 1.63
68 3.1e-007 8.6e-003 2.0e-005 1.00e+000 1.664752139e+002 1.664759441e+002 1.7e-010 1.66
69 2.8e-007 8.5e-003 1.8e-005 1.00e+000 1.664752623e+002 1.664759195e+002 1.6e-010 1.67
70 2.5e-007 8.5e-003 1.6e-005 1.00e+000 1.664753058e+002 1.664758973e+002 1.4e-010 1.69
71 2.3e-007 8.4e-003 1.4e-005 1.00e+000 1.664753450e+002 1.664758773e+002 1.3e-010 1.72
72 2.0e-007 8.3e-003 1.3e-005 1.00e+000 1.664753802e+002 1.664758594e+002 1.1e-010 1.75
73 1.8e-007 8.2e-003 1.2e-005 1.00e+000 1.664754119e+002 1.664758432e+002 1.0e-010 1.78
74 1.7e-007 8.2e-003 1.1e-005 1.00e+000 1.664754405e+002 1.664758286e+002 9.2e-011 1.81
75 1.5e-007 8.1e-003 9.5e-006 9.99e-001 1.664754661e+002 1.664758154e+002 8.3e-011 1.84
76 1.3e-007 8.1e-003 8.5e-006 1.00e+000 1.664754892e+002 1.664758036e+002 7.4e-011 1.88
77 1.2e-007 8.0e-003 7.7e-006 1.00e+000 1.664755100e+002 1.664757929e+002 6.7e-011 1.91
78 1.1e-007 8.0e-003 6.9e-006 9.99e-001 1.664755287e+002 1.664757834e+002 6.0e-011 1.94
79 9.8e-008 8.0e-003 6.2e-006 1.00e+000 1.664755456e+002 1.664757748e+002 5.4e-011 1.95
80 8.8e-008 7.9e-003 5.6e-006 9.99e-001 1.664755607e+002 1.664757670e+002 4.9e-011 1.99
81 7.9e-008 7.9e-003 5.0e-006 9.99e-001 1.664755743e+002 1.664757600e+002 4.4e-011 2.02
82 7.1e-008 7.9e-003 4.5e-006 1.00e+000 1.664755866e+002 1.664757537e+002 3.9e-011 2.05
83 6.4e-008 7.8e-003 4.1e-006 1.00e+000 1.664755977e+002 1.664757480e+002 3.6e-011 2.08
84 5.8e-008 7.8e-003 3.7e-006 9.99e-001 1.664756076e+002 1.664757429e+002 3.2e-011 2.11
85 5.2e-008 7.8e-003 3.3e-006 1.00e+000 1.664756165e+002 1.664757383e+002 2.9e-011 2.14
86 4.7e-008 7.8e-003 3.0e-006 1.00e+000 1.664756246e+002 1.664757342e+002 2.6e-011 2.17
87 4.2e-008 7.8e-003 2.7e-006 9.99e-001 1.664756318e+002 1.664757305e+002 2.3e-011 2.20
88 3.8e-008 7.7e-003 2.4e-006 1.00e+000 1.664756383e+002 1.664757271e+002 2.1e-011 2.23
89 3.4e-008 7.7e-003 2.2e-006 1.00e+000 1.664756442e+002 1.664757241e+002 1.9e-011 2.27
90 3.1e-008 7.7e-003 1.9e-006 9.99e-001 1.664756495e+002 1.664757214e+002 1.7e-011 2.28
91 2.8e-008 7.7e-003 1.8e-006 1.00e+000 1.664756542e+002 1.664757190e+002 1.5e-011 2.31
92 2.5e-008 7.7e-003 1.6e-006 9.98e-001 1.664756585e+002 1.664757168e+002 1.4e-011 2.34
93 2.2e-008 7.7e-003 1.4e-006 1.00e+000 1.664756624e+002 1.664757148e+002 1.2e-011 2.38
94 2.0e-008 6.9e-003 1.3e-006 1.00e+000 1.664756659e+002 1.664757130e+002 1.1e-011 2.41
95 1.8e-008 6.2e-003 1.2e-006 1.00e+000 1.664756690e+002 1.664757114e+002 1.0e-011 2.44
96 1.6e-008 5.6e-003 1.0e-006 1.00e+000 1.664756718e+002 1.664757100e+002 9.0e-012 2.47
97 1.5e-008 5.0e-003 9.3e-007 1.00e+000 1.664756743e+002 1.664757087e+002 8.1e-012 2.50
98 1.3e-008 4.5e-003 8.4e-007 9.96e-001 1.664756766e+002 1.664757075e+002 7.3e-012 2.52
99 1.2e-008 4.1e-003 7.6e-007 9.98e-001 1.664756786e+002 1.664757064e+002 6.6e-012 2.55
100 1.1e-008 3.7e-003 6.8e-007 1.00e+000 1.664756805e+002 1.664757055e+002 5.9e-012 2.58
101 9.7e-009 3.3e-003 6.1e-007 9.95e-001 1.664756821e+002 1.664757047e+002 5.3e-012 2.61
102 8.7e-009 3.0e-003 5.5e-007 1.00e+000 1.664756836e+002 1.664757039e+002 4.8e-012 2.64
103 3.6e-009 3.2e-004 5.9e-008 1.01e+000 1.664756955e+002 1.664756977e+002 5.0e-013 2.67
Interior-point optimizer terminated. Time: 2.67.
Optimizer terminated. Time: 2.69
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569555e+002 nrm: 2e+001 Viol. con: 1e-007 var: 0e+000
Dual. obj: 1.6647569770e+002 nrm: 1e+003 Viol. con: 0e+000 var: 2e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.72 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 482
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: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 873
Optimizer - Cones : 0
Optimizer - Scalar variables : 3461 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 : 1.49e+004 after factor : 1.57e+005
Factor - dense dim. : 0 flops : 3.26e+007
Factor - GP saved nzs : 3.37e+004 GP saved flops : 9.34e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.6e+003 1.2e+005 0.00e+000 -1.237601353e+005 2.000000000e+000 1.0e+000 0.09
1 1.7e+003 2.6e+003 9.0e+004 -9.71e-001 -1.230184172e+005 2.621678505e+000 7.3e-001 0.14
2 8.8e+002 1.4e+003 4.8e+004 -9.59e-001 -1.207177102e+005 4.620087532e+000 3.9e-001 0.19
3 2.9e+002 4.5e+002 1.6e+004 -9.22e-001 -1.116371510e+005 2.005936340e+001 1.3e-001 0.23
4 2.9e+002 4.5e+002 1.6e+004 -7.71e-001 -1.093768969e+005 1.999802368e+003 1.3e-001 0.27
5 1.2e+002 1.9e+002 6.4e+003 -7.61e-001 -8.776251383e+004 6.373173671e+003 5.2e-002 0.31
6 2.8e+001 4.4e+001 1.5e+003 -4.45e-001 -3.534325174e+004 1.257961619e+004 1.2e-002 0.34
7 1.8e+001 2.8e+001 9.8e+002 4.56e-001 -2.557382266e+004 7.338636349e+003 8.0e-003 0.38
8 1.0e+001 1.6e+001 5.5e+002 6.43e-001 -1.535525601e+004 4.356037794e+003 4.5e-003 0.41
9 4.0e+000 6.3e+000 2.2e+002 8.14e-001 -6.223149489e+003 1.991871921e+003 1.8e-003 0.44
10 2.1e+000 3.3e+000 1.1e+002 9.47e-001 -3.077076450e+003 1.217773851e+003 9.3e-004 0.47
11 8.7e-001 1.4e+000 4.8e+001 9.86e-001 -1.173261727e+003 6.521136255e+002 4.0e-004 0.50
12 8.3e-001 1.3e+000 4.6e+001 9.62e-001 -1.146051757e+003 6.226105269e+002 3.8e-004 0.53
13 5.3e-001 8.4e-001 2.9e+001 9.71e-001 -6.962965524e+002 4.455103183e+002 2.4e-004 0.58
14 3.5e-001 5.6e-001 1.9e+001 1.00e+000 -3.832025204e+002 3.635131342e+002 1.6e-004 0.63
15 1.2e-001 2.1e-001 6.5e+000 9.97e-001 -3.248845584e+001 2.187854840e+002 5.5e-005 0.66
16 8.5e-002 1.5e-001 4.8e+000 1.02e+000 2.203028616e+001 2.052082100e+002 4.0e-005 0.69
17 5.0e-002 9.3e-002 2.8e+000 1.02e+000 8.376884803e+001 1.913091613e+002 2.4e-005 0.73
18 1.3e-002 1.6e-001 7.4e-001 1.02e+000 1.456869884e+002 1.737185914e+002 6.2e-006 0.77
19 4.1e-003 2.1e-001 2.4e-001 1.01e+000 1.597977710e+002 1.688021081e+002 2.0e-006 0.80
20 2.1e-003 2.3e-001 1.2e-001 1.01e+000 1.630221728e+002 1.676858375e+002 1.0e-006 0.83
21 6.3e-004 1.5e-001 3.9e-002 1.01e+000 1.654239451e+002 1.668671768e+002 3.3e-007 0.88
22 4.4e-004 1.2e-001 2.7e-002 9.98e-001 1.657452904e+002 1.667337168e+002 2.3e-007 0.91
23 2.5e-004 8.2e-002 1.5e-002 9.85e-001 1.660432321e+002 1.666139568e+002 1.3e-007 0.94
24 2.0e-004 6.7e-002 1.3e-002 9.99e-001 1.661208374e+002 1.665875311e+002 1.1e-007 1.00
25 1.8e-004 6.2e-002 1.1e-002 1.01e+000 1.661541752e+002 1.665739302e+002 9.7e-008 1.03
26 1.6e-004 5.7e-002 1.0e-002 1.01e+000 1.661835151e+002 1.665611725e+002 8.7e-008 1.06
27 1.5e-004 5.2e-002 9.1e-003 1.00e+000 1.662100221e+002 1.665498652e+002 7.8e-008 1.09
28 1.3e-004 4.7e-002 8.2e-003 1.00e+000 1.662337783e+002 1.665395966e+002 7.0e-008 1.13
29 1.2e-004 4.3e-002 7.4e-003 1.00e+000 1.662551042e+002 1.665303102e+002 6.3e-008 1.16
30 1.1e-004 4.0e-002 6.7e-003 1.00e+000 1.662742450e+002 1.665219070e+002 5.7e-008 1.19
31 9.7e-005 3.7e-002 6.0e-003 1.00e+000 1.662914261e+002 1.665143043e+002 5.1e-008 1.22
32 8.8e-005 3.4e-002 5.4e-003 1.00e+000 1.663068485e+002 1.665074257e+002 4.6e-008 1.25
33 7.9e-005 3.1e-002 4.9e-003 1.00e+000 1.663206925e+002 1.665012022e+002 4.2e-008 1.28
34 7.1e-005 2.9e-002 4.4e-003 1.00e+000 1.663331202e+002 1.664955716e+002 3.8e-008 1.31
35 6.4e-005 2.7e-002 3.9e-003 1.00e+000 1.663442769e+002 1.664904778e+002 3.4e-008 1.34
36 5.7e-005 2.5e-002 3.5e-003 1.00e+000 1.663542933e+002 1.664858702e+002 3.0e-008 1.38
37 5.2e-005 2.3e-002 3.2e-003 1.00e+000 1.663632867e+002 1.664817030e+002 2.7e-008 1.41
38 4.7e-005 2.1e-002 2.9e-003 1.00e+000 1.663713623e+002 1.664779348e+002 2.5e-008 1.44
39 4.2e-005 2.0e-002 2.6e-003 1.00e+000 1.663786143e+002 1.664745281e+002 2.2e-008 1.47
40 3.8e-005 1.9e-002 2.3e-003 1.00e+000 1.663851274e+002 1.664714487e+002 2.0e-008 1.50
41 3.4e-005 1.8e-002 2.1e-003 1.00e+000 1.663909773e+002 1.664686658e+002 1.8e-008 1.53
42 3.1e-005 1.7e-002 1.9e-003 1.00e+000 1.663962319e+002 1.664661511e+002 1.6e-008 1.56
43 2.7e-005 1.6e-002 1.7e-003 1.00e+000 1.664009522e+002 1.664638791e+002 1.5e-008 1.59
44 2.5e-005 1.5e-002 1.5e-003 1.00e+000 1.664051928e+002 1.664618268e+002 1.3e-008 1.63
45 2.2e-005 1.4e-002 1.4e-003 1.00e+000 1.664090026e+002 1.664599731e+002 1.2e-008 1.66
46 2.0e-005 1.4e-002 1.2e-003 1.00e+000 1.664124256e+002 1.664582990e+002 1.1e-008 1.69
47 1.8e-005 1.3e-002 1.1e-003 1.00e+000 1.664155012e+002 1.664567874e+002 9.6e-009 1.72
48 1.6e-005 1.3e-002 1.0e-003 1.00e+000 1.664182649e+002 1.664554225e+002 8.6e-009 1.75
49 1.5e-005 1.2e-002 9.0e-004 1.00e+000 1.664207484e+002 1.664541903e+002 7.7e-009 1.78
50 1.3e-005 1.2e-002 8.1e-004 1.00e+000 1.664229803e+002 1.664530781e+002 7.0e-009 1.81
51 1.2e-005 1.1e-002 7.3e-004 1.00e+000 1.664249862e+002 1.664520744e+002 6.3e-009 1.83
52 1.1e-005 1.1e-002 6.6e-004 1.00e+000 1.664267890e+002 1.664511685e+002 5.6e-009 1.86
53 9.6e-006 1.1e-002 5.9e-004 1.00e+000 1.664284095e+002 1.664503512e+002 5.1e-009 1.89
54 8.6e-006 1.0e-002 5.3e-004 1.00e+000 1.664298662e+002 1.664496139e+002 4.6e-009 1.92
55 7.8e-006 1.0e-002 4.8e-004 1.00e+000 1.664311757e+002 1.664489487e+002 4.1e-009 1.95
56 7.0e-006 1.0e-002 4.3e-004 1.00e+000 1.664323530e+002 1.664483488e+002 3.7e-009 1.98
57 6.3e-006 9.8e-003 3.9e-004 1.00e+000 1.664334114e+002 1.664478077e+002 3.3e-009 2.02
58 5.7e-006 9.6e-003 3.5e-004 1.00e+000 1.664343630e+002 1.664473198e+002 3.0e-009 2.05
59 5.1e-006 9.5e-003 3.1e-004 1.00e+000 1.664352187e+002 1.664468799e+002 2.7e-009 2.08
60 4.6e-006 9.3e-003 2.8e-004 1.00e+000 1.664359880e+002 1.664464832e+002 2.4e-009 2.09
61 4.1e-006 9.2e-003 2.5e-004 1.00e+000 1.664366798e+002 1.664461256e+002 2.2e-009 2.13
62 3.7e-006 9.1e-003 2.3e-004 1.00e+000 1.664373019e+002 1.664458031e+002 2.0e-009 2.16
63 3.3e-006 9.0e-003 2.1e-004 1.00e+000 1.664378612e+002 1.664455124e+002 1.8e-009 2.19
64 3.0e-006 8.9e-003 1.9e-004 1.00e+000 1.664383642e+002 1.664452503e+002 1.6e-009 2.22
65 2.7e-006 8.8e-003 1.7e-004 1.00e+000 1.664388165e+002 1.664450141e+002 1.4e-009 2.25
66 2.4e-006 8.7e-003 1.5e-004 1.00e+000 1.664392234e+002 1.664448012e+002 1.3e-009 2.28
67 2.2e-006 8.6e-003 1.4e-004 1.00e+000 1.664395893e+002 1.664446094e+002 1.2e-009 2.31
68 2.0e-006 8.5e-003 1.2e-004 1.00e+000 1.664399185e+002 1.664444367e+002 1.0e-009 2.34
69 1.8e-006 8.5e-003 1.1e-004 1.00e+000 1.664402146e+002 1.664442810e+002 9.4e-010 2.38
70 1.6e-006 8.4e-003 9.9e-005 1.00e+000 1.664404811e+002 1.664441408e+002 8.5e-010 2.41
71 1.4e-006 8.4e-003 8.9e-005 1.00e+000 1.664407207e+002 1.664440146e+002 7.6e-010 2.44
72 1.3e-006 8.3e-003 8.0e-005 1.00e+000 1.664409364e+002 1.664439008e+002 6.9e-010 2.47
73 1.2e-006 8.3e-003 7.2e-005 1.00e+000 1.664411304e+002 1.664437984e+002 6.2e-010 2.50
74 1.0e-006 8.2e-003 6.5e-005 1.00e+000 1.664413049e+002 1.664437061e+002 5.6e-010 2.53
75 9.4e-007 8.2e-003 5.8e-005 1.00e+000 1.664414619e+002 1.664436231e+002 5.0e-010 2.56
76 8.5e-007 8.1e-003 5.2e-005 1.00e+000 1.664416032e+002 1.664435482e+002 4.5e-010 2.59
77 7.6e-007 8.1e-003 4.7e-005 1.00e+000 1.664417302e+002 1.664434808e+002 4.1e-010 2.63
78 6.9e-007 8.1e-003 4.2e-005 1.00e+000 1.664418446e+002 1.664434201e+002 3.7e-010 2.66
79 6.2e-007 8.0e-003 3.8e-005 1.00e+000 1.664419474e+002 1.664433654e+002 3.3e-010 2.69
80 5.6e-007 8.0e-003 3.4e-005 1.00e+000 1.664420399e+002 1.664433161e+002 3.0e-010 2.72
81 5.0e-007 8.0e-003 3.1e-005 1.00e+000 1.664421231e+002 1.664432717e+002 2.7e-010 2.77
82 4.5e-007 7.9e-003 2.8e-005 1.00e+000 1.664421980e+002 1.664432317e+002 2.4e-010 2.80
83 4.1e-007 7.9e-003 2.5e-005 1.00e+000 1.664422653e+002 1.664431957e+002 2.2e-010 2.81
84 3.7e-007 7.9e-003 2.3e-005 1.00e+000 1.664423259e+002 1.664431633e+002 1.9e-010 2.84
85 3.3e-007 7.9e-003 2.0e-005 1.00e+000 1.664423804e+002 1.664431341e+002 1.7e-010 2.88
86 3.0e-007 7.8e-003 1.8e-005 1.00e+000 1.664424295e+002 1.664431078e+002 1.6e-010 2.91
87 2.7e-007 7.8e-003 1.6e-005 1.00e+000 1.664424736e+002 1.664430841e+002 1.4e-010 2.94
88 2.4e-007 7.8e-003 1.5e-005 1.00e+000 1.664425134e+002 1.664430628e+002 1.3e-010 2.97
89 2.2e-007 7.8e-003 1.3e-005 1.00e+000 1.664425491e+002 1.664430436e+002 1.1e-010 3.02
90 1.9e-007 7.8e-003 1.2e-005 1.00e+000 1.664425813e+002 1.664430263e+002 1.0e-010 3.05
91 1.7e-007 7.8e-003 1.1e-005 1.00e+000 1.664426102e+002 1.664430108e+002 9.3e-011 3.08
92 1.6e-007 7.7e-003 9.7e-006 1.00e+000 1.664426363e+002 1.664429968e+002 8.4e-011 3.11
93 1.4e-007 7.7e-003 8.8e-006 1.00e+000 1.664426598e+002 1.664429842e+002 7.5e-011 3.14
94 1.3e-007 7.7e-003 7.9e-006 1.00e+000 1.664426809e+002 1.664429729e+002 6.8e-011 3.19
95 1.1e-007 7.7e-003 7.1e-006 1.00e+000 1.664426999e+002 1.664429627e+002 6.1e-011 3.22
96 1.0e-007 7.7e-003 6.4e-006 1.00e+000 1.664427170e+002 1.664429535e+002 5.5e-011 3.25
97 9.3e-008 7.7e-003 5.7e-006 1.00e+000 1.664427324e+002 1.664429453e+002 4.9e-011 3.28
98 8.4e-008 7.7e-003 5.2e-006 1.00e+000 1.664427462e+002 1.664429378e+002 4.4e-011 3.31
99 7.5e-008 7.6e-003 4.7e-006 1.00e+000 1.664427587e+002 1.664429312e+002 4.0e-011 3.34
100 6.8e-008 7.6e-003 4.2e-006 1.00e+000 1.664427699e+002 1.664429251e+002 3.6e-011 3.39
101 6.1e-008 7.6e-003 3.8e-006 1.00e+000 1.664427800e+002 1.664429197e+002 3.2e-011 3.42
102 5.5e-008 7.6e-003 3.4e-006 1.00e+000 1.664427891e+002 1.664429148e+002 2.9e-011 3.45
103 4.9e-008 7.6e-003 3.1e-006 1.00e+000 1.664427973e+002 1.664429104e+002 2.6e-011 3.48
104 4.4e-008 7.6e-003 2.7e-006 1.00e+000 1.664428046e+002 1.664429065e+002 2.4e-011 3.52
105 4.0e-008 7.6e-003 2.5e-006 1.00e+000 1.664428113e+002 1.664429029e+002 2.1e-011 3.55
106 3.6e-008 7.5e-003 2.2e-006 9.95e-001 1.664428172e+002 1.664428999e+002 1.9e-011 3.58
107 3.3e-008 7.5e-003 2.0e-006 9.97e-001 1.664428226e+002 1.664428971e+002 1.7e-011 3.61
108 2.9e-008 6.7e-003 1.8e-006 1.00e+000 1.664428274e+002 1.664428944e+002 1.6e-011 3.66
109 2.6e-008 6.1e-003 1.6e-006 1.00e+000 1.664428317e+002 1.664428921e+002 1.4e-011 3.69
110 2.4e-008 5.5e-003 1.5e-006 1.00e+000 1.664428357e+002 1.664428900e+002 1.3e-011 3.72
111 2.1e-008 4.9e-003 1.3e-006 1.00e+000 1.664428392e+002 1.664428881e+002 1.1e-011 3.75
112 1.9e-008 4.4e-003 1.2e-006 9.95e-001 1.664428424e+002 1.664428864e+002 1.0e-011 3.78
113 1.7e-008 4.0e-003 1.1e-006 9.92e-001 1.664428452e+002 1.664428849e+002 9.2e-012 3.81
114 1.6e-008 3.6e-003 9.6e-007 9.98e-001 1.664428478e+002 1.664428835e+002 8.2e-012 3.84
115 1.4e-008 3.2e-003 8.6e-007 9.95e-001 1.664428501e+002 1.664428823e+002 7.4e-012 3.88
116 1.3e-008 2.9e-003 7.8e-007 9.83e-001 1.664428521e+002 1.664428815e+002 6.7e-012 3.91
117 1.3e-008 2.6e-003 7.0e-007 9.92e-001 1.664428539e+002 1.664428806e+002 6.0e-012 3.94
118 1.4e-008 2.3e-003 6.3e-007 9.81e-001 1.664428556e+002 1.664428798e+002 5.4e-012 3.97
119 1.2e-008 2.1e-003 5.7e-007 1.01e+000 1.664428571e+002 1.664428789e+002 4.9e-012 4.00
120 1.1e-008 1.9e-003 5.1e-007 1.00e+000 1.664428585e+002 1.664428781e+002 4.4e-012 4.03
121 1.0e-008 1.7e-003 4.6e-007 1.00e+000 1.664428598e+002 1.664428774e+002 4.0e-012 4.06
122 9.1e-009 1.5e-003 4.1e-007 9.96e-001 1.664428609e+002 1.664428768e+002 3.6e-012 4.09
123 8.3e-009 1.4e-003 3.7e-007 9.86e-001 1.664428619e+002 1.664428762e+002 3.2e-012 4.13
124 7.3e-009 1.2e-003 3.3e-007 1.00e+000 1.664428628e+002 1.664428757e+002 2.9e-012 4.16
125 5.0e-008 1.1e-003 3.0e-007 7.82e-001 1.664428633e+002 1.664428769e+002 2.6e-012 4.17
126 4.5e-008 1.0e-003 2.7e-007 9.86e-001 1.664428640e+002 1.664428764e+002 2.3e-012 4.20
127 4.1e-008 9.1e-004 2.4e-007 1.01e+000 1.664428647e+002 1.664428758e+002 2.1e-012 4.23
128 3.7e-008 8.2e-004 2.2e-007 1.06e+000 1.664428655e+002 1.664428751e+002 1.9e-012 4.27
129 3.3e-008 7.4e-004 2.0e-007 1.02e+000 1.664428661e+002 1.664428747e+002 1.8e-012 4.30
130 1.7e-008 4.3e-004 1.2e-007 1.41e-001 1.664428683e+002 1.664428738e+002 1.1e-012 4.33
131 1.5e-008 3.9e-004 1.0e-007 9.60e-001 1.664428685e+002 1.664428735e+002 9.8e-013 4.36
Interior-point optimizer terminated. Time: 4.38.
Optimizer terminated. Time: 4.44
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286852e+002 nrm: 2e+001 Viol. con: 3e-007 var: 0e+000
Dual. obj: 1.6644287353e+002 nrm: 1e+003 Viol. con: 0e+000 var: 4e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.48 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 482
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 : 873
Optimizer - Cones : 0
Optimizer - Scalar variables : 3461 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 : 1.49e+004 after factor : 1.57e+005
Factor - dense dim. : 0 flops : 3.26e+007
Factor - GP saved nzs : 3.37e+004 GP saved flops : 9.34e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.6e+003 1.2e+005 0.00e+000 -1.237596545e+005 2.000000000e+000 1.0e+000 0.09
1 1.7e+003 2.6e+003 9.0e+004 -9.71e-001 -1.230176347e+005 2.621718761e+000 7.3e-001 0.14
2 8.8e+002 1.4e+003 4.8e+004 -9.59e-001 -1.207180895e+005 4.618545007e+000 3.9e-001 0.17
3 2.9e+002 4.5e+002 1.6e+004 -9.22e-001 -1.116169470e+005 2.006925192e+001 1.3e-001 0.20
4 2.9e+002 4.5e+002 1.6e+004 -7.71e-001 -1.093538340e+005 2.003999086e+003 1.3e-001 0.23
5 1.2e+002 1.9e+002 6.4e+003 -7.61e-001 -8.778198344e+004 6.346552152e+003 5.2e-002 0.27
6 2.6e+001 4.2e+001 1.4e+003 -4.45e-001 -3.329231790e+004 1.281255372e+004 1.2e-002 0.31
7 1.7e+001 2.7e+001 9.3e+002 4.95e-001 -2.427452101e+004 7.153790958e+003 7.6e-003 0.34
8 1.0e+001 1.6e+001 5.4e+002 6.66e-001 -1.519098021e+004 4.386109520e+003 4.5e-003 0.38
9 4.0e+000 6.3e+000 2.2e+002 8.16e-001 -6.234187653e+003 1.999062925e+003 1.8e-003 0.41
10 2.1e+000 3.3e+000 1.1e+002 9.46e-001 -3.080450538e+003 1.212302233e+003 9.3e-004 0.44
11 8.3e-001 1.3e+000 4.6e+001 9.86e-001 -1.126012631e+003 6.315805903e+002 3.8e-004 0.47
12 8.1e-001 1.3e+000 4.5e+001 9.51e-001 -1.119329669e+003 6.084914575e+002 3.7e-004 0.50
13 5.1e-001 8.2e-001 2.8e+001 9.69e-001 -6.691708059e+002 4.357527811e+002 2.4e-004 0.53
14 3.3e-001 5.3e-001 1.8e+001 1.00e+000 -3.544369984e+002 3.516307012e+002 1.5e-004 0.56
15 1.1e-001 2.0e-001 6.2e+000 9.98e-001 -2.480617233e+001 2.164009716e+002 5.2e-005 0.59
16 8.5e-002 1.5e-001 4.8e+000 1.02e+000 2.286673104e+001 2.065931227e+002 4.0e-005 0.63
17 4.0e-002 9.6e-002 2.3e+000 1.02e+000 9.989795283e+001 1.863771999e+002 1.9e-005 0.66
18 1.4e-002 8.9e-002 7.8e-001 1.02e+000 1.445503855e+002 1.739140764e+002 6.5e-006 0.69
19 5.5e-003 8.0e-002 3.2e-001 1.01e+000 1.574016640e+002 1.692782455e+002 2.7e-006 0.72
20 1.6e-003 1.2e-001 9.6e-002 1.01e+000 1.638190032e+002 1.674185541e+002 8.1e-007 0.75
21 7.0e-004 9.7e-002 4.2e-002 1.00e+000 1.652906420e+002 1.668729383e+002 3.6e-007 0.78
22 2.5e-004 1.0e-001 1.6e-002 1.01e+000 1.660160783e+002 1.665937670e+002 1.3e-007 0.80
23 1.1e-004 8.8e-002 6.8e-003 1.01e+000 1.662471864e+002 1.664998990e+002 5.9e-008 0.83
24 9.9e-005 8.0e-002 6.1e-003 1.01e+000 1.662665513e+002 1.664940477e+002 5.3e-008 0.86
25 8.9e-005 7.3e-002 5.5e-003 1.01e+000 1.662823550e+002 1.664870194e+002 4.8e-008 0.89
26 8.0e-005 6.7e-002 5.0e-003 1.01e+000 1.662966341e+002 1.664807722e+002 4.3e-008 0.92
27 7.2e-005 6.1e-002 4.5e-003 1.01e+000 1.663094173e+002 1.664750907e+002 3.9e-008 0.95
28 6.5e-005 5.5e-002 4.0e-003 1.01e+000 1.663208922e+002 1.664699566e+002 3.5e-008 0.98
29 5.8e-005 5.1e-002 3.6e-003 1.01e+000 1.663311884e+002 1.664653121e+002 3.2e-008 1.00
30 5.2e-005 4.6e-002 3.3e-003 1.01e+000 1.663404289e+002 1.664611122e+002 2.8e-008 1.01
31 4.7e-005 4.3e-002 2.9e-003 1.01e+000 1.663487229e+002 1.664573148e+002 2.6e-008 1.05
32 4.2e-005 3.9e-002 2.6e-003 1.01e+000 1.663561681e+002 1.664538821e+002 2.3e-008 1.06
33 3.8e-005 3.6e-002 2.4e-003 1.01e+000 1.663628523e+002 1.664507797e+002 2.1e-008 1.09
34 3.4e-005 3.3e-002 2.1e-003 1.00e+000 1.663688540e+002 1.664479763e+002 1.9e-008 1.11
35 3.1e-005 3.1e-002 1.9e-003 1.00e+000 1.663742435e+002 1.664454435e+002 1.7e-008 1.13
36 2.8e-005 2.8e-002 1.7e-003 1.00e+000 1.663790838e+002 1.664431557e+002 1.5e-008 1.16
37 2.5e-005 2.6e-002 1.6e-003 1.00e+000 1.663834312e+002 1.664410893e+002 1.4e-008 1.17
38 2.3e-005 2.5e-002 1.4e-003 1.00e+000 1.663873362e+002 1.664392233e+002 1.2e-008 1.20
39 2.0e-005 2.3e-002 1.3e-003 1.00e+000 1.663908443e+002 1.664375383e+002 1.1e-008 1.22
40 1.8e-005 2.1e-002 1.1e-003 1.00e+000 1.663939959e+002 1.664360171e+002 9.9e-009 1.23
41 1.6e-005 2.0e-002 1.0e-003 1.00e+000 1.663968276e+002 1.664346440e+002 8.9e-009 1.26
42 1.5e-005 1.9e-002 9.2e-004 1.00e+000 1.663993719e+002 1.664334045e+002 8.0e-009 1.28
43 1.3e-005 1.8e-002 8.3e-004 1.00e+000 1.664016584e+002 1.664322859e+002 7.2e-009 1.31
44 1.2e-005 1.7e-002 7.5e-004 1.00e+000 1.664037131e+002 1.664312766e+002 6.5e-009 1.33
45 1.1e-005 1.6e-002 6.7e-004 1.00e+000 1.664055598e+002 1.664303659e+002 5.9e-009 1.36
46 9.7e-006 1.5e-002 6.1e-004 1.00e+000 1.664072197e+002 1.664295443e+002 5.3e-009 1.38
47 8.7e-006 1.5e-002 5.5e-004 1.00e+000 1.664087117e+002 1.664288032e+002 4.7e-009 1.39
48 7.9e-006 1.4e-002 4.9e-004 1.00e+000 1.664100530e+002 1.664281347e+002 4.3e-009 1.42
49 7.1e-006 1.3e-002 4.4e-004 1.00e+000 1.664112588e+002 1.664275319e+002 3.8e-009 1.44
50 6.4e-006 1.3e-002 4.0e-004 1.00e+000 1.664123429e+002 1.664269884e+002 3.5e-009 1.47
51 5.7e-006 1.2e-002 3.6e-004 1.00e+000 1.664133176e+002 1.664264983e+002 3.1e-009 1.48
52 5.2e-006 1.2e-002 3.2e-004 1.00e+000 1.664141940e+002 1.664260565e+002 2.8e-009 1.50
53 4.6e-006 1.2e-002 2.9e-004 1.00e+000 1.664149821e+002 1.664256582e+002 2.5e-009 1.53
54 4.2e-006 1.1e-002 2.6e-004 1.00e+000 1.664156908e+002 1.664252992e+002 2.3e-009 1.55
55 3.8e-006 1.1e-002 2.3e-004 1.00e+000 1.664163280e+002 1.664249755e+002 2.0e-009 1.58
56 3.4e-006 1.1e-002 2.1e-004 1.00e+000 1.664169010e+002 1.664246837e+002 1.8e-009 1.59
57 3.0e-006 1.0e-002 1.9e-004 1.00e+000 1.664174164e+002 1.664244207e+002 1.7e-009 1.61
58 2.7e-006 1.0e-002 1.7e-004 1.00e+000 1.664178798e+002 1.664241837e+002 1.5e-009 1.64
59 2.5e-006 1.0e-002 1.5e-004 1.00e+000 1.664182967e+002 1.664239702e+002 1.3e-009 1.67
60 2.2e-006 9.8e-003 1.4e-004 1.00e+000 1.664186717e+002 1.664237778e+002 1.2e-009 1.69
61 2.0e-006 9.6e-003 1.2e-004 1.00e+000 1.664190090e+002 1.664236045e+002 1.1e-009 1.72
62 1.8e-006 9.5e-003 1.1e-004 1.00e+000 1.664193125e+002 1.664234485e+002 9.8e-010 1.73
63 1.6e-006 9.3e-003 1.0e-004 1.00e+000 1.664195855e+002 1.664233079e+002 8.8e-010 1.75
64 1.5e-006 9.2e-003 9.1e-005 1.00e+000 1.664198311e+002 1.664231813e+002 7.9e-010 1.78
65 1.3e-006 9.1e-003 8.2e-005 1.00e+000 1.664200521e+002 1.664230673e+002 7.1e-010 1.80
66 1.2e-006 9.0e-003 7.4e-005 1.00e+000 1.664202509e+002 1.664229646e+002 6.4e-010 1.83
67 1.1e-006 8.9e-003 6.6e-005 1.00e+000 1.664204298e+002 1.664228721e+002 5.8e-010 1.84
68 9.6e-007 8.8e-003 6.0e-005 1.00e+000 1.664205907e+002 1.664227888e+002 5.2e-010 1.86
69 8.6e-007 8.7e-003 5.4e-005 1.00e+000 1.664207355e+002 1.664227138e+002 4.7e-010 1.89
70 7.7e-007 8.6e-003 4.8e-005 1.00e+000 1.664208658e+002 1.664226462e+002 4.2e-010 1.91
71 7.0e-007 8.6e-003 4.4e-005 1.00e+000 1.664209829e+002 1.664225854e+002 3.8e-010 1.92
72 6.3e-007 8.5e-003 3.9e-005 1.00e+000 1.664210883e+002 1.664225305e+002 3.4e-010 1.95
73 5.6e-007 8.4e-003 3.5e-005 1.00e+000 1.664211832e+002 1.664224811e+002 3.1e-010 1.97
74 5.1e-007 8.4e-003 3.2e-005 1.00e+000 1.664212685e+002 1.664224366e+002 2.8e-010 2.00
75 4.6e-007 8.3e-003 2.9e-005 1.00e+000 1.664213452e+002 1.664223965e+002 2.5e-010 2.02
76 4.1e-007 8.3e-003 2.6e-005 1.00e+000 1.664214142e+002 1.664223604e+002 2.2e-010 2.05
77 3.7e-007 8.2e-003 2.3e-005 1.00e+000 1.664214763e+002 1.664223279e+002 2.0e-010 2.06
78 3.3e-007 8.2e-003 2.1e-005 1.00e+000 1.664215321e+002 1.664222986e+002 1.8e-010 2.08
79 3.0e-007 8.2e-003 1.9e-005 1.00e+000 1.664215824e+002 1.664222722e+002 1.6e-010 2.11
80 2.7e-007 8.1e-003 1.7e-005 1.00e+000 1.664216276e+002 1.664222484e+002 1.5e-010 2.13
81 2.4e-007 8.1e-003 1.5e-005 1.00e+000 1.664216683e+002 1.664222270e+002 1.3e-010 2.16
82 2.2e-007 8.1e-003 1.4e-005 1.00e+000 1.664217049e+002 1.664222078e+002 1.2e-010 2.17
83 2.0e-007 8.0e-003 1.2e-005 1.00e+000 1.664217378e+002 1.664221904e+002 1.1e-010 2.19
84 1.8e-007 8.0e-003 1.1e-005 1.00e+000 1.664217675e+002 1.664221748e+002 9.6e-011 2.22
85 1.6e-007 8.0e-003 1.0e-005 1.00e+000 1.664217941e+002 1.664221607e+002 8.7e-011 2.23
86 1.4e-007 8.0e-003 9.0e-006 1.00e+000 1.664218181e+002 1.664221481e+002 7.8e-011 2.27
87 1.3e-007 7.9e-003 8.1e-006 1.00e+000 1.664218397e+002 1.664221367e+002 7.0e-011 2.28
88 1.2e-007 7.9e-003 7.3e-006 1.00e+000 1.664218592e+002 1.664221264e+002 6.3e-011 2.30
89 1.0e-007 7.9e-003 6.5e-006 1.00e+000 1.664218766e+002 1.664221174e+002 5.7e-011 2.33
90 9.4e-008 7.8e-003 5.9e-006 1.00e+000 1.664218924e+002 1.664221091e+002 5.1e-011 2.34
91 8.5e-008 7.8e-003 5.3e-006 1.00e+000 1.664219065e+002 1.664221016e+002 4.6e-011 2.38
92 7.6e-008 7.0e-003 4.8e-006 1.00e+000 1.664219193e+002 1.664220947e+002 4.1e-011 2.39
93 6.9e-008 6.3e-003 4.3e-006 1.00e+000 1.664219308e+002 1.664220887e+002 3.7e-011 2.41
94 6.2e-008 5.7e-003 3.9e-006 1.00e+000 1.664219411e+002 1.664220832e+002 3.4e-011 2.44
95 5.6e-008 5.1e-003 3.5e-006 9.99e-001 1.664219504e+002 1.664220783e+002 3.0e-011 2.45
96 5.0e-008 4.6e-003 3.1e-006 9.99e-001 1.664219588e+002 1.664220739e+002 2.7e-011 2.48
97 4.5e-008 4.2e-003 2.8e-006 1.00e+000 1.664219663e+002 1.664220699e+002 2.5e-011 2.50
98 4.1e-008 3.7e-003 2.5e-006 1.00e+000 1.664219731e+002 1.664220664e+002 2.2e-011 2.52
99 3.6e-008 3.4e-003 2.3e-006 1.00e+000 1.664219792e+002 1.664220631e+002 2.0e-011 2.55
100 3.3e-008 3.0e-003 2.1e-006 9.99e-001 1.664219847e+002 1.664220602e+002 1.8e-011 2.56
101 3.0e-008 2.7e-003 1.8e-006 1.00e+000 1.664219896e+002 1.664220576e+002 1.6e-011 2.58
102 2.7e-008 2.5e-003 1.7e-006 9.98e-001 1.664219941e+002 1.664220552e+002 1.4e-011 2.61
103 2.4e-008 2.2e-003 1.5e-006 1.00e+000 1.664219981e+002 1.664220531e+002 1.3e-011 2.63
104 2.2e-008 2.0e-003 1.3e-006 9.97e-001 1.664220017e+002 1.664220513e+002 1.2e-011 2.66
105 2.1e-008 1.8e-003 1.2e-006 9.57e-001 1.664220044e+002 1.664220516e+002 1.1e-011 2.67
106 1.9e-008 1.6e-003 1.1e-006 1.01e+000 1.664220074e+002 1.664220498e+002 9.5e-012 2.69
107 1.7e-008 1.5e-003 9.8e-007 9.97e-001 1.664220101e+002 1.664220482e+002 8.6e-012 2.72
108 1.5e-008 1.3e-003 8.8e-007 9.96e-001 1.664220124e+002 1.664220468e+002 7.7e-012 2.73
109 1.4e-008 1.2e-003 7.9e-007 9.95e-001 1.664220146e+002 1.664220455e+002 7.0e-012 2.77
110 1.2e-008 1.1e-003 7.2e-007 9.95e-001 1.664220166e+002 1.664220444e+002 6.3e-012 2.78
111 1.1e-008 9.6e-004 6.4e-007 1.00e+000 1.664220183e+002 1.664220434e+002 5.6e-012 2.81
112 9.9e-009 8.6e-004 5.8e-007 1.00e+000 1.664220199e+002 1.664220424e+002 5.1e-012 2.83
113 8.8e-009 7.7e-004 5.2e-007 9.97e-001 1.664220213e+002 1.664220416e+002 4.6e-012 2.84
114 7.9e-009 7.0e-004 4.7e-007 9.97e-001 1.664220226e+002 1.664220408e+002 4.1e-012 2.88
115 7.1e-009 6.3e-004 4.2e-007 9.92e-001 1.664220237e+002 1.664220402e+002 3.7e-012 2.89
116 6.5e-009 5.6e-004 3.8e-007 9.99e-001 1.664220248e+002 1.664220395e+002 3.3e-012 2.92
117 6.0e-009 5.1e-004 3.4e-007 9.91e-001 1.664220257e+002 1.664220390e+002 3.0e-012 2.94
118 7.8e-009 4.6e-004 3.1e-007 1.01e+000 1.664220266e+002 1.664220383e+002 2.7e-012 2.95
119 7.6e-009 4.1e-004 2.8e-007 1.02e+000 1.664220274e+002 1.664220379e+002 2.4e-012 2.98
120 7.1e-009 3.7e-004 2.5e-007 9.98e-001 1.664220280e+002 1.664220375e+002 2.2e-012 3.00
121 7.7e-008 3.3e-004 7.0e-008 1.00e+000 1.664220345e+002 1.664220372e+002 2.0e-012 3.03
122 9.2e-008 3.0e-004 6.3e-008 1.01e+000 1.664220353e+002 1.664220381e+002 1.8e-012 3.05
123 8.3e-008 2.7e-004 5.8e-008 1.00e+000 1.664220351e+002 1.664220377e+002 1.6e-012 3.08
124 7.5e-008 2.4e-004 5.2e-008 9.85e-001 1.664220350e+002 1.664220373e+002 1.4e-012 3.09
125 6.7e-008 2.2e-004 4.7e-008 9.98e-001 1.664220349e+002 1.664220370e+002 1.3e-012 3.11
126 6.1e-008 2.0e-004 4.2e-008 9.99e-001 1.664220348e+002 1.664220367e+002 1.2e-012 3.14
127 5.5e-008 1.8e-004 3.8e-008 1.00e+000 1.664220347e+002 1.664220364e+002 1.0e-012 3.16
128 4.9e-008 1.6e-004 3.4e-008 1.00e+000 1.664220346e+002 1.664220362e+002 9.4e-013 3.19
Interior-point optimizer terminated. Time: 3.19.
Optimizer terminated. Time: 3.20
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203465e+002 nrm: 2e+001 Viol. con: 2e-006 var: 0e+000
Dual. obj: 1.6642203620e+002 nrm: 1e+003 Viol. con: 0e+000 var: 1e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.23 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 482
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 : 873
Optimizer - Cones : 0
Optimizer - Scalar variables : 3461 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 : 0.02
Factor - nonzeros before factor : 1.49e+004 after factor : 1.57e+005
Factor - dense dim. : 0 flops : 3.26e+007
Factor - GP saved nzs : 3.37e+004 GP saved flops : 9.34e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.6e+003 1.2e+005 0.00e+000 -1.237588149e+005 2.000000000e+000 1.0e+000 0.08
1 1.7e+003 2.6e+003 9.0e+004 -9.71e-001 -1.230164381e+005 2.621988915e+000 7.3e-001 0.28
2 8.8e+002 1.4e+003 4.8e+004 -9.59e-001 -1.207164673e+005 4.618977534e+000 3.9e-001 0.31
3 2.9e+002 4.5e+002 1.6e+004 -9.22e-001 -1.116022118e+005 2.007811286e+001 1.3e-001 0.33
4 2.9e+002 4.5e+002 1.6e+004 -7.70e-001 -1.093354865e+005 2.008147569e+003 1.3e-001 0.36
5 1.2e+002 1.9e+002 6.4e+003 -7.61e-001 -8.776647516e+004 6.334406151e+003 5.2e-002 0.38
6 2.6e+001 4.1e+001 1.4e+003 -4.45e-001 -3.317320024e+004 1.281870457e+004 1.2e-002 0.39
7 1.7e+001 2.7e+001 9.2e+002 4.97e-001 -2.414040894e+004 7.127667097e+003 7.5e-003 0.42
8 9.9e+000 1.6e+001 5.4e+002 6.68e-001 -1.509191488e+004 4.360567108e+003 4.4e-003 0.44
9 4.0e+000 6.2e+000 2.2e+002 8.17e-001 -6.135821041e+003 1.973342235e+003 1.8e-003 0.45
10 2.0e+000 3.2e+000 1.1e+002 9.47e-001 -3.012816544e+003 1.199980842e+003 9.1e-004 0.48
11 8.5e-001 1.3e+000 4.7e+001 9.86e-001 -1.153577646e+003 6.282661498e+002 3.8e-004 0.50
12 8.2e-001 1.3e+000 4.5e+001 9.52e-001 -1.143114210e+003 6.044203482e+002 3.7e-004 0.53
13 5.2e-001 8.2e-001 2.9e+001 9.69e-001 -6.799490344e+002 4.350479122e+002 2.4e-004 0.55
14 3.2e-001 5.2e-001 1.8e+001 1.00e+000 -3.470498963e+002 3.481728789e+002 1.5e-004 0.56
15 1.1e-001 2.0e-001 6.2e+000 9.97e-001 -2.290412239e+001 2.159389842e+002 5.2e-005 0.59
16 8.4e-002 1.5e-001 4.7e+000 1.02e+000 2.400303390e+001 2.060815789e+002 4.0e-005 0.61
17 3.8e-002 9.2e-002 2.1e+000 1.02e+000 1.042137380e+002 1.852643667e+002 1.8e-005 0.64
18 9.8e-003 1.8e-001 5.6e-001 1.02e+000 1.509069980e+002 1.721549093e+002 4.7e-006 0.66
19 3.6e-003 2.2e-001 2.1e-001 1.01e+000 1.605295119e+002 1.683327639e+002 1.7e-006 0.69
20 1.5e-003 1.3e-001 8.8e-002 1.01e+000 1.640065816e+002 1.673153905e+002 7.5e-007 0.70
21 5.0e-004 1.1e-001 3.0e-002 9.98e-001 1.656091844e+002 1.667352050e+002 2.6e-007 0.73
22 2.2e-004 8.8e-002 1.4e-002 1.01e+000 1.660474878e+002 1.665625416e+002 1.2e-007 0.75
23 9.9e-005 8.2e-002 6.2e-003 1.01e+000 1.662487741e+002 1.664785919e+002 5.4e-008 0.77
24 8.9e-005 7.6e-002 5.6e-003 1.01e+000 1.662668866e+002 1.664736854e+002 4.9e-008 0.80
25 8.1e-005 6.9e-002 5.0e-003 1.01e+000 1.662810549e+002 1.664670950e+002 4.4e-008 0.81
26 7.2e-005 6.3e-002 4.5e-003 1.01e+000 1.662940339e+002 1.664614214e+002 3.9e-008 0.84
27 6.5e-005 5.7e-002 4.1e-003 1.01e+000 1.663056462e+002 1.664562526e+002 3.5e-008 0.86
28 5.9e-005 5.2e-002 3.7e-003 1.01e+000 1.663160734e+002 1.664515846e+002 3.2e-008 0.88
29 5.3e-005 4.8e-002 3.3e-003 1.01e+000 1.663254299e+002 1.664473614e+002 2.9e-008 0.91
30 4.8e-005 4.4e-002 3.0e-003 1.01e+000 1.663338278e+002 1.664435427e+002 2.6e-008 0.92
31 4.3e-005 4.0e-002 2.7e-003 1.01e+000 1.663413663e+002 1.664400904e+002 2.3e-008 0.95
32 3.9e-005 3.7e-002 2.4e-003 1.01e+000 1.663481340e+002 1.664369701e+002 2.1e-008 0.97
33 3.5e-005 3.4e-002 2.2e-003 1.00e+000 1.663542107e+002 1.664341504e+002 1.9e-008 1.00
34 3.1e-005 3.2e-002 1.9e-003 1.00e+000 1.663596676e+002 1.664316029e+002 1.7e-008 1.02
35 2.8e-005 2.9e-002 1.8e-003 1.00e+000 1.663645683e+002 1.664293017e+002 1.5e-008 1.05
36 2.5e-005 2.7e-002 1.6e-003 1.00e+000 1.663689701e+002 1.664272233e+002 1.4e-008 1.06
37 2.3e-005 2.5e-002 1.4e-003 1.00e+000 1.663729242e+002 1.664253466e+002 1.2e-008 1.09
38 2.0e-005 2.4e-002 1.3e-003 1.00e+000 1.663764763e+002 1.664236521e+002 1.1e-008 1.11
39 1.8e-005 2.2e-002 1.2e-003 1.00e+000 1.663796678e+002 1.664221223e+002 1.0e-008 1.14
40 1.7e-005 2.1e-002 1.0e-003 1.00e+000 1.663825353e+002 1.664207415e+002 9.0e-009 1.16
41 1.5e-005 1.9e-002 9.3e-004 1.00e+000 1.663851120e+002 1.664194953e+002 8.1e-009 1.19
42 1.3e-005 1.8e-002 8.4e-004 1.00e+000 1.663874277e+002 1.664183708e+002 7.3e-009 1.20
43 1.2e-005 1.7e-002 7.6e-004 1.00e+000 1.663895088e+002 1.664173562e+002 6.6e-009 1.24
44 1.1e-005 1.6e-002 6.8e-004 1.00e+000 1.663913793e+002 1.664164408e+002 5.9e-009 1.25
45 9.8e-006 1.6e-002 6.1e-004 1.00e+000 1.663930607e+002 1.664156151e+002 5.3e-009 1.28
46 8.8e-006 1.5e-002 5.5e-004 1.00e+000 1.663945722e+002 1.664148704e+002 4.8e-009 1.30
47 7.9e-006 1.4e-002 5.0e-004 1.00e+000 1.663959310e+002 1.664141989e+002 4.3e-009 1.31
48 7.1e-006 1.4e-002 4.5e-004 1.00e+000 1.663971527e+002 1.664135933e+002 3.9e-009 1.34
49 6.4e-006 1.3e-002 4.0e-004 1.00e+000 1.663982511e+002 1.664130473e+002 3.5e-009 1.36
50 5.8e-006 1.3e-002 3.6e-004 1.00e+000 1.663992388e+002 1.664125551e+002 3.1e-009 1.39
51 5.2e-006 1.2e-002 3.3e-004 1.00e+000 1.664001270e+002 1.664121114e+002 2.8e-009 1.41
52 4.7e-006 1.2e-002 2.9e-004 1.00e+000 1.664009256e+002 1.664117115e+002 2.5e-009 1.44
53 4.2e-006 1.1e-002 2.6e-004 1.00e+000 1.664016438e+002 1.664113509e+002 2.3e-009 1.45
54 3.8e-006 1.1e-002 2.4e-004 1.00e+000 1.664022896e+002 1.664110260e+002 2.1e-009 1.49
55 3.4e-006 1.1e-002 2.1e-004 1.00e+000 1.664028704e+002 1.664107330e+002 1.9e-009 1.50
56 3.1e-006 1.1e-002 1.9e-004 1.00e+000 1.664033927e+002 1.664104690e+002 1.7e-009 1.52
57 2.8e-006 1.0e-002 1.7e-004 1.00e+000 1.664038624e+002 1.664102311e+002 1.5e-009 1.55
58 2.5e-006 1.0e-002 1.6e-004 1.00e+000 1.664042850e+002 1.664100167e+002 1.4e-009 1.56
59 2.2e-006 9.9e-003 1.4e-004 1.00e+000 1.664046650e+002 1.664098236e+002 1.2e-009 1.59
60 2.0e-006 9.7e-003 1.3e-004 1.00e+000 1.664050070e+002 1.664096497e+002 1.1e-009 1.61
61 1.8e-006 9.5e-003 1.1e-004 1.00e+000 1.664053146e+002 1.664094931e+002 9.9e-010 1.63
62 1.6e-006 9.4e-003 1.0e-004 1.00e+000 1.664055914e+002 1.664093520e+002 8.9e-010 1.66
63 1.5e-006 9.2e-003 9.2e-005 1.00e+000 1.664058404e+002 1.664092249e+002 8.0e-010 1.69
64 1.3e-006 9.1e-003 8.3e-005 1.00e+000 1.664060644e+002 1.664091105e+002 7.2e-010 1.70
65 1.2e-006 9.0e-003 7.4e-005 1.00e+000 1.664062659e+002 1.664090074e+002 6.5e-010 1.72
66 1.1e-006 8.9e-003 6.7e-005 1.00e+000 1.664064473e+002 1.664089146e+002 5.8e-010 1.75
67 9.6e-007 8.8e-003 6.0e-005 1.00e+000 1.664066104e+002 1.664088310e+002 5.3e-010 1.77
68 8.7e-007 8.7e-003 5.4e-005 1.00e+000 1.664067572e+002 1.664087558e+002 4.7e-010 1.80
69 7.8e-007 8.6e-003 4.9e-005 1.00e+000 1.664068892e+002 1.664086880e+002 4.3e-010 1.81
70 7.0e-007 8.6e-003 4.4e-005 1.00e+000 1.664070080e+002 1.664086269e+002 3.8e-010 1.84
71 6.3e-007 8.5e-003 4.0e-005 1.00e+000 1.664071149e+002 1.664085719e+002 3.4e-010 1.86
72 5.7e-007 8.4e-003 3.6e-005 1.00e+000 1.664072110e+002 1.664085223e+002 3.1e-010 1.89
73 5.1e-007 8.4e-003 3.2e-005 1.00e+000 1.664072975e+002 1.664084776e+002 2.8e-010 1.92
74 4.6e-007 8.3e-003 2.9e-005 1.00e+000 1.664073753e+002 1.664084374e+002 2.5e-010 1.95
75 4.1e-007 8.3e-003 2.6e-005 1.00e+000 1.664074452e+002 1.664084011e+002 2.3e-010 1.99
76 3.7e-007 8.2e-003 2.3e-005 1.00e+000 1.664075081e+002 1.664083685e+002 2.0e-010 2.02
77 3.4e-007 8.2e-003 2.1e-005 1.00e+000 1.664075648e+002 1.664083391e+002 1.8e-010 2.05
78 3.0e-007 8.1e-003 1.9e-005 1.00e+000 1.664076157e+002 1.664083126e+002 1.6e-010 2.06
79 2.7e-007 8.1e-003 1.7e-005 1.00e+000 1.664076615e+002 1.664082887e+002 1.5e-010 2.09
80 2.4e-007 8.1e-003 1.5e-005 1.00e+000 1.664077027e+002 1.664082672e+002 1.3e-010 2.13
81 2.2e-007 8.0e-003 1.4e-005 1.00e+000 1.664077398e+002 1.664082479e+002 1.2e-010 2.16
82 2.0e-007 8.0e-003 1.2e-005 1.00e+000 1.664077732e+002 1.664082304e+002 1.1e-010 2.19
83 1.8e-007 8.0e-003 1.1e-005 1.00e+000 1.664078033e+002 1.664082148e+002 9.7e-011 2.22
84 1.6e-007 7.9e-003 1.0e-005 1.00e+000 1.664078303e+002 1.664082006e+002 8.8e-011 2.25
85 1.4e-007 7.9e-003 9.1e-006 1.00e+000 1.664078546e+002 1.664081879e+002 7.9e-011 2.28
86 1.3e-007 7.9e-003 8.1e-006 1.00e+000 1.664078765e+002 1.664081765e+002 7.1e-011 2.30
87 1.2e-007 7.9e-003 7.3e-006 1.00e+000 1.664078962e+002 1.664081662e+002 6.4e-011 2.33
88 1.1e-007 7.9e-003 6.6e-006 1.00e+000 1.664079139e+002 1.664081569e+002 5.7e-011 2.36
89 9.5e-008 7.8e-003 5.9e-006 1.00e+000 1.664079299e+002 1.664081486e+002 5.2e-011 2.39
90 8.5e-008 7.8e-003 5.3e-006 1.00e+000 1.664079442e+002 1.664081410e+002 4.7e-011 2.42
91 7.7e-008 7.8e-003 4.8e-006 9.99e-001 1.664079571e+002 1.664081343e+002 4.2e-011 2.45
92 6.9e-008 7.8e-003 4.3e-006 1.00e+000 1.664079688e+002 1.664081282e+002 3.8e-011 2.47
93 6.2e-008 7.8e-003 3.9e-006 1.00e+000 1.664079792e+002 1.664081227e+002 3.4e-011 2.50
94 5.6e-008 7.8e-003 3.5e-006 9.99e-001 1.664079886e+002 1.664081178e+002 3.1e-011 2.53
95 5.0e-008 7.7e-003 3.2e-006 1.00e+000 1.664079971e+002 1.664081134e+002 2.7e-011 2.56
96 4.5e-008 7.7e-003 2.8e-006 9.98e-001 1.664080047e+002 1.664081094e+002 2.5e-011 2.59
97 4.1e-008 7.7e-003 2.6e-006 9.98e-001 1.664080116e+002 1.664081058e+002 2.2e-011 2.63
98 3.7e-008 7.7e-003 2.3e-006 9.99e-001 1.664080178e+002 1.664081025e+002 2.0e-011 2.64
99 3.3e-008 7.7e-003 2.1e-006 9.99e-001 1.664080233e+002 1.664080996e+002 1.8e-011 2.67
100 3.0e-008 7.7e-003 1.9e-006 1.00e+000 1.664080283e+002 1.664080970e+002 1.6e-011 2.70
101 2.7e-008 7.7e-003 1.7e-006 1.00e+000 1.664080328e+002 1.664080946e+002 1.5e-011 2.73
102 2.4e-008 7.7e-003 1.5e-006 1.00e+000 1.664080369e+002 1.664080925e+002 1.3e-011 2.77
103 2.2e-008 7.6e-003 1.4e-006 9.97e-001 1.664080405e+002 1.664080906e+002 1.2e-011 2.80
104 2.0e-008 7.6e-003 1.2e-006 9.99e-001 1.664080438e+002 1.664080889e+002 1.1e-011 2.81
105 1.8e-008 6.9e-003 1.1e-006 1.01e+000 1.664080468e+002 1.664080873e+002 9.6e-012 2.84
106 1.6e-008 6.2e-003 9.9e-007 9.97e-001 1.664080495e+002 1.664080859e+002 8.6e-012 2.88
107 1.4e-008 5.6e-003 8.9e-007 1.00e+000 1.664080519e+002 1.664080846e+002 7.8e-012 2.91
108 1.3e-008 5.0e-003 8.0e-007 1.00e+000 1.664080540e+002 1.664080835e+002 7.0e-012 2.94
109 1.2e-008 4.5e-003 7.2e-007 9.95e-001 1.664080559e+002 1.664080824e+002 6.3e-012 2.97
110 1.0e-008 4.1e-003 6.5e-007 1.00e+000 1.664080577e+002 1.664080816e+002 5.7e-012 2.98
111 9.4e-009 3.7e-003 5.8e-007 1.00e+000 1.664080593e+002 1.664080807e+002 5.1e-012 3.02
112 8.4e-009 3.3e-003 5.3e-007 9.99e-001 1.664080607e+002 1.664080800e+002 4.6e-012 3.05
113 7.6e-009 3.0e-003 4.7e-007 1.01e+000 1.664080620e+002 1.664080793e+002 4.2e-012 3.09
114 6.9e-009 2.7e-003 4.3e-007 9.83e-001 1.664080631e+002 1.664080788e+002 3.8e-012 3.13
115 6.2e-009 2.4e-003 3.8e-007 1.01e+000 1.664080642e+002 1.664080782e+002 3.4e-012 3.16
116 1.1e-008 2.2e-003 3.5e-007 8.79e-001 1.664080649e+002 1.664080783e+002 3.1e-012 3.17
117 9.9e-009 2.0e-003 3.1e-007 9.86e-001 1.664080657e+002 1.664080779e+002 2.8e-012 3.20
118 8.9e-009 1.8e-003 2.8e-007 9.99e-001 1.664080665e+002 1.664080775e+002 2.5e-012 3.23
119 8.0e-009 1.6e-003 2.5e-007 1.03e+000 1.664080673e+002 1.664080770e+002 2.3e-012 3.27
120 7.1e-009 1.4e-003 2.3e-007 1.06e+000 1.664080680e+002 1.664080765e+002 2.1e-012 3.30
121 6.4e-009 1.3e-003 2.0e-007 1.02e+000 1.664080686e+002 1.664080761e+002 1.9e-012 3.33
122 5.8e-009 1.2e-003 1.8e-007 1.02e+000 1.664080691e+002 1.664080758e+002 1.7e-012 3.36
123 5.2e-009 1.1e-003 1.7e-007 9.94e-001 1.664080695e+002 1.664080756e+002 1.6e-012 3.39
124 4.7e-009 9.5e-004 1.5e-007 9.97e-001 1.664080699e+002 1.664080753e+002 1.4e-012 3.41
125 4.3e-009 8.5e-004 1.3e-007 9.95e-001 1.664080702e+002 1.664080751e+002 1.3e-012 3.44
126 3.8e-009 7.7e-004 1.2e-007 1.00e+000 1.664080706e+002 1.664080749e+002 1.1e-012 3.47
127 3.4e-009 6.9e-004 1.1e-007 9.96e-001 1.664080708e+002 1.664080748e+002 1.0e-012 3.50
128 3.1e-009 6.2e-004 9.8e-008 9.98e-001 1.664080711e+002 1.664080747e+002 9.2e-013 3.53
Interior-point optimizer terminated. Time: 3.53.
Optimizer terminated. Time: 3.55
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807107e+002 nrm: 2e+001 Viol. con: 6e-008 var: 0e+000
Dual. obj: 1.6640807465e+002 nrm: 1e+003 Viol. con: 0e+000 var: 4e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.58 seconds.
Solving took 9 GP solves and 41.4 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: 1.4957422271402648e+110 vs 1.49569869602e+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: [-92.94682168]
Total Aircraft Weight Percent Diff: [-21.48052426]
Engine Weight Percent Diff: -56.27817453912431
Fuselage Weight Percent Diff: -0.8697030598942124
Payload Weight Percent Diff: [-0.04003551]
VT Weight Percent Diff: -8.6072444860773
HT Weight Percent Diff: -93.23325299622559
Wing Weight Percent Diff: 8.267590252194271
WING DIFFERENCES
Wing Span Percent Diff: -0.029998790405532327
Wing Area Percent Diff: 32.89973039466401
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.48873090902909
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022288033125475
VT Area Percent Diff: -60.386788978044166
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54723828]
L/D Percent Diff: [24.01022393]
Nacelle Cd Percent Diff: [-94.27639187]
HT Cd Percent Diff: [-80.76938282] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00286324] dimensionless
Wing Cd percent Diff: [-14.22919254]
Induced Drag Cd Percent Diff: [1.219338]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035785]
FUSELAGE DIFFERENCES
Weight of HB material: -38.35929811182091
Weight of VB material: 87.83141265744786
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260511]
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}[:]/dum[:])^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}[:]/dum[:])^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 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 476
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 : 878
Optimizer - Cones : 0
Optimizer - Scalar variables : 3466 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 : 1.49e+004 after factor : 1.55e+005
Factor - dense dim. : 0 flops : 3.17e+007
Factor - GP saved nzs : 3.36e+004 GP saved flops : 9.32e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.223083000e+005 2.000000000e+000 1.0e+000 0.11
1 1.6e+003 2.0e+003 8.4e+004 -9.71e-001 -1.214169755e+005 2.778937242e+000 6.8e-001 0.16
2 8.2e+002 1.1e+003 4.4e+004 -9.56e-001 -1.189685922e+005 5.116623673e+000 3.6e-001 0.20
3 2.9e+002 3.8e+002 1.6e+004 -9.15e-001 -1.102962388e+005 2.170107580e+001 1.3e-001 0.25
4 2.9e+002 3.8e+002 1.6e+004 -7.69e-001 -1.083159695e+005 1.743967981e+003 1.3e-001 0.28
5 1.1e+002 1.5e+002 6.0e+003 -7.60e-001 -8.473411131e+004 6.748020105e+003 5.0e-002 0.33
6 3.8e+001 4.9e+001 2.0e+003 -4.14e-001 -4.537004405e+004 1.080379423e+004 1.7e-002 0.38
7 2.0e+001 2.7e+001 1.1e+003 2.54e-001 -2.836621286e+004 7.045470195e+003 9.0e-003 0.41
8 9.4e+000 1.2e+001 5.0e+002 5.72e-001 -1.387002290e+004 4.245868460e+003 4.2e-003 0.45
9 4.7e+000 6.2e+000 2.6e+002 8.29e-001 -6.980032828e+003 2.517157403e+003 2.1e-003 0.48
10 1.4e+000 1.9e+000 7.8e+001 9.33e-001 -2.014626386e+003 9.508470757e+002 6.5e-004 0.52
11 6.4e-001 8.4e-001 3.5e+001 9.93e-001 -6.678939076e+002 6.594958244e+002 2.9e-004 0.56
12 4.8e-001 6.4e-001 2.7e+001 9.96e-001 -4.499442807e+002 5.609449955e+002 2.2e-004 0.59
13 3.5e-001 7.8e-001 1.9e+001 9.80e-001 -2.667764941e+002 4.766171741e+002 1.6e-004 0.63
14 1.7e-001 3.9e-001 9.5e+000 9.96e-001 3.398728303e-001 3.641145757e+002 8.0e-005 0.67
15 5.8e-002 1.6e-001 3.3e+000 9.94e-001 1.652792610e+002 2.911850954e+002 2.8e-005 0.70
16 3.3e-002 1.4e-001 1.9e+000 1.00e+000 2.032349681e+002 2.745517868e+002 1.6e-005 0.75
17 4.6e-003 2.1e-001 2.9e-001 1.00e+000 2.458601948e+002 2.569052102e+002 2.6e-006 0.78
18 1.3e-003 1.4e-001 8.6e-002 1.00e+000 2.513276369e+002 2.546006422e+002 7.8e-007 0.81
19 4.6e-004 1.1e-001 3.0e-002 1.00e+000 2.528755713e+002 2.540040944e+002 2.7e-007 0.84
20 1.8e-004 9.1e-002 1.2e-002 1.00e+000 2.533597020e+002 2.538150008e+002 1.1e-007 0.89
21 1.7e-004 8.2e-002 1.1e-002 1.00e+000 2.533933871e+002 2.538031618e+002 9.9e-008 0.92
22 1.5e-004 7.5e-002 9.7e-003 1.00e+000 2.534228250e+002 2.537915996e+002 8.9e-008 0.95
23 1.3e-004 6.8e-002 8.7e-003 1.00e+000 2.534493468e+002 2.537812274e+002 8.0e-008 0.98
24 1.2e-004 6.2e-002 7.8e-003 1.00e+000 2.534731934e+002 2.537718721e+002 7.2e-008 1.03
25 1.1e-004 5.6e-002 7.1e-003 1.00e+000 2.534946429e+002 2.537634423e+002 6.5e-008 1.06
26 9.8e-005 5.2e-002 6.4e-003 1.00e+000 2.535139350e+002 2.537558451e+002 5.8e-008 1.11
27 8.8e-005 4.7e-002 5.7e-003 1.00e+000 2.535312883e+002 2.537489999e+002 5.3e-008 1.14
28 7.9e-005 4.3e-002 5.1e-003 1.00e+000 2.535468984e+002 2.537428326e+002 4.7e-008 1.19
29 7.1e-005 4.0e-002 4.6e-003 1.00e+000 2.535609410e+002 2.537372767e+002 4.3e-008 1.22
30 6.4e-005 3.6e-002 4.2e-003 1.00e+000 2.535735738e+002 2.537322719e+002 3.8e-008 1.25
31 5.8e-005 3.4e-002 3.8e-003 1.00e+000 2.535849387e+002 2.537277637e+002 3.5e-008 1.30
32 5.2e-005 3.1e-002 3.4e-003 1.00e+000 2.535951632e+002 2.537237031e+002 3.1e-008 1.33
33 4.7e-005 2.9e-002 3.0e-003 1.00e+000 2.536043619e+002 2.537200457e+002 2.8e-008 1.36
34 4.2e-005 2.7e-002 2.7e-003 1.00e+000 2.536126379e+002 2.537167517e+002 2.5e-008 1.41
35 3.8e-005 2.5e-002 2.5e-003 1.00e+000 2.536200839e+002 2.537137850e+002 2.3e-008 1.44
36 3.4e-005 2.3e-002 2.2e-003 1.00e+000 2.536267833e+002 2.537111133e+002 2.0e-008 1.47
37 3.1e-005 2.1e-002 2.0e-003 1.00e+000 2.536328110e+002 2.537087072e+002 1.8e-008 1.52
38 2.8e-005 2.0e-002 1.8e-003 1.00e+000 2.536382345e+002 2.537065404e+002 1.7e-008 1.56
39 2.5e-005 1.9e-002 1.6e-003 1.00e+000 2.536431143e+002 2.537045892e+002 1.5e-008 1.59
40 2.2e-005 1.8e-002 1.5e-003 1.00e+000 2.536475052e+002 2.537028323e+002 1.3e-008 1.64
41 2.0e-005 1.7e-002 1.3e-003 1.00e+000 2.536514561e+002 2.537012502e+002 1.2e-008 1.69
42 1.8e-005 1.6e-002 1.2e-003 1.00e+000 2.536550113e+002 2.536998258e+002 1.1e-008 1.74
43 1.6e-005 1.5e-002 1.1e-003 1.00e+000 2.536582103e+002 2.536985432e+002 9.8e-009 1.77
44 1.5e-005 1.4e-002 9.5e-004 1.00e+000 2.536610889e+002 2.536973885e+002 8.8e-009 1.81
45 1.3e-005 1.4e-002 8.6e-004 1.00e+000 2.536636793e+002 2.536963488e+002 7.9e-009 1.86
46 1.2e-005 1.3e-002 7.7e-004 1.00e+000 2.536660103e+002 2.536954129e+002 7.1e-009 1.91
47 1.1e-005 1.2e-002 7.0e-004 1.00e+000 2.536681080e+002 2.536945703e+002 6.4e-009 1.94
48 9.6e-006 1.2e-002 6.3e-004 1.00e+000 2.536699957e+002 2.536938118e+002 5.8e-009 1.99
49 8.7e-006 1.2e-002 5.6e-004 1.00e+000 2.536716945e+002 2.536931290e+002 5.2e-009 2.03
50 7.8e-006 1.1e-002 5.1e-004 1.00e+000 2.536732233e+002 2.536925143e+002 4.7e-009 2.08
51 7.0e-006 1.1e-002 4.6e-004 1.00e+000 2.536745990e+002 2.536919610e+002 4.2e-009 2.13
52 6.3e-006 1.0e-002 4.1e-004 1.00e+000 2.536758371e+002 2.536914629e+002 3.8e-009 2.17
53 5.7e-006 1.0e-002 3.7e-004 1.00e+000 2.536769513e+002 2.536910145e+002 3.4e-009 2.22
54 5.1e-006 9.9e-003 3.3e-004 1.00e+000 2.536779540e+002 2.536906110e+002 3.1e-009 2.27
55 4.6e-006 9.7e-003 3.0e-004 1.00e+000 2.536788564e+002 2.536902477e+002 2.8e-009 2.31
56 4.1e-006 9.5e-003 2.7e-004 1.00e+000 2.536796685e+002 2.536899207e+002 2.5e-009 2.36
57 3.7e-006 9.3e-003 2.4e-004 1.00e+000 2.536803993e+002 2.536896263e+002 2.2e-009 2.41
58 3.4e-006 9.1e-003 2.2e-004 1.00e+000 2.536810570e+002 2.536893613e+002 2.0e-009 2.45
59 3.0e-006 8.9e-003 2.0e-004 1.00e+000 2.536816489e+002 2.536891228e+002 1.8e-009 2.50
60 1.2e-006 3.4e-003 7.6e-005 1.00e+000 2.536849211e+002 2.536878032e+002 7.0e-010 2.55
61 1.0e-006 3.1e-003 6.8e-005 1.00e+000 2.536851269e+002 2.536877209e+002 6.3e-010 2.59
62 3.7e-007 1.1e-003 2.4e-005 1.00e+000 2.536863131e+002 2.536872421e+002 2.2e-010 2.64
63 3.4e-007 1.0e-003 2.2e-005 1.00e+000 2.536863794e+002 2.536872155e+002 2.0e-010 2.69
64 3.0e-007 9.0e-004 2.0e-005 1.00e+000 2.536864389e+002 2.536871914e+002 1.8e-010 2.72
65 2.7e-007 8.1e-004 1.8e-005 1.00e+000 2.536864925e+002 2.536871697e+002 1.6e-010 2.77
66 2.5e-007 7.3e-004 1.6e-005 1.00e+000 2.536865407e+002 2.536871503e+002 1.5e-010 2.81
67 2.2e-007 6.6e-004 1.4e-005 1.00e+000 2.536865841e+002 2.536871327e+002 1.3e-010 2.86
68 2.0e-007 5.9e-004 1.3e-005 1.00e+000 2.536866232e+002 2.536871169e+002 1.2e-010 2.91
69 1.8e-007 5.3e-004 1.2e-005 1.00e+000 2.536866583e+002 2.536871027e+002 1.1e-010 2.95
70 1.6e-007 4.8e-004 1.1e-005 1.00e+000 2.536866900e+002 2.536870899e+002 9.7e-011 3.00
71 1.5e-007 4.3e-004 9.5e-006 1.00e+000 2.536867185e+002 2.536870784e+002 8.7e-011 3.05
72 1.3e-007 3.9e-004 8.5e-006 1.00e+000 2.536867441e+002 2.536870680e+002 7.8e-011 3.09
73 1.2e-007 3.5e-004 7.7e-006 1.00e+000 2.536867672e+002 2.536870587e+002 7.1e-011 3.16
74 1.1e-007 3.1e-004 6.9e-006 1.00e+000 2.536867879e+002 2.536870503e+002 6.3e-011 3.23
75 9.5e-008 2.8e-004 6.2e-006 1.00e+000 2.536868066e+002 2.536870427e+002 5.7e-011 3.27
76 8.6e-008 2.5e-004 5.6e-006 1.00e+000 2.536868234e+002 2.536870359e+002 5.1e-011 3.31
77 7.7e-008 2.3e-004 5.0e-006 1.00e+000 2.536868385e+002 2.536870298e+002 4.6e-011 3.36
78 6.9e-008 2.1e-004 4.5e-006 1.00e+000 2.536868521e+002 2.536870243e+002 4.2e-011 3.39
79 6.3e-008 1.9e-004 4.1e-006 1.00e+000 2.536868644e+002 2.536870193e+002 3.7e-011 3.44
80 5.6e-008 1.7e-004 3.7e-006 1.00e+000 2.536868754e+002 2.536870149e+002 3.4e-011 3.48
81 5.1e-008 1.5e-004 3.3e-006 1.00e+000 2.536868854e+002 2.536870109e+002 3.0e-011 3.52
82 4.6e-008 1.3e-004 3.0e-006 1.00e+000 2.536868943e+002 2.536870072e+002 2.7e-011 3.61
83 4.1e-008 1.2e-004 2.7e-006 1.00e+000 2.536869023e+002 2.536870040e+002 2.5e-011 3.75
84 3.7e-008 1.1e-004 2.4e-006 1.00e+000 2.536869096e+002 2.536870010e+002 2.2e-011 3.92
85 3.3e-008 9.8e-005 2.2e-006 1.00e+000 2.536869161e+002 2.536869984e+002 2.0e-011 4.02
86 3.0e-008 8.8e-005 1.9e-006 1.00e+000 2.536869219e+002 2.536869960e+002 1.8e-011 4.08
87 2.7e-008 8.0e-005 1.8e-006 1.00e+000 2.536869272e+002 2.536869939e+002 1.6e-011 4.13
88 2.4e-008 7.2e-005 1.6e-006 1.00e+000 2.536869319e+002 2.536869920e+002 1.5e-011 4.19
89 2.2e-008 6.5e-005 1.4e-006 1.00e+000 2.536869362e+002 2.536869902e+002 1.3e-011 4.27
90 2.0e-008 5.8e-005 1.3e-006 9.99e-001 2.536869401e+002 2.536869887e+002 1.2e-011 4.31
91 1.8e-008 5.2e-005 1.1e-006 1.00e+000 2.536869435e+002 2.536869873e+002 1.1e-011 4.41
92 1.6e-008 4.7e-005 1.0e-006 1.00e+000 2.536869466e+002 2.536869860e+002 9.5e-012 4.45
93 1.4e-008 4.2e-005 9.3e-007 1.00e+000 2.536869494e+002 2.536869849e+002 8.6e-012 4.50
94 1.3e-008 3.8e-005 8.4e-007 1.00e+000 2.536869520e+002 2.536869839e+002 7.7e-012 4.55
95 1.2e-008 3.4e-005 7.5e-007 1.00e+000 2.536869542e+002 2.536869829e+002 6.9e-012 4.59
96 1.0e-008 3.1e-005 6.8e-007 1.00e+000 2.536869563e+002 2.536869821e+002 6.2e-012 4.64
97 9.4e-009 2.8e-005 6.1e-007 1.00e+000 2.536869581e+002 2.536869814e+002 5.6e-012 4.69
Interior-point optimizer terminated. Time: 4.70.
Optimizer terminated. Time: 4.80
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695810e+002 nrm: 4e+001 Viol. con: 2e-007 var: 0e+000
Dual. obj: 2.5368698136e+002 nrm: 8e+002 Viol. con: 0e+000 var: 2e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.82 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 476
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 : 879
Optimizer - Cones : 0
Optimizer - Scalar variables : 3468 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 : 1.49e+004 after factor : 1.56e+005
Factor - dense dim. : 0 flops : 3.19e+007
Factor - GP saved nzs : 3.36e+004 GP saved flops : 9.32e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.219705586e+005 2.000000000e+000 1.0e+000 0.06
1 1.6e+003 2.1e+003 8.4e+004 -9.71e-001 -1.211031020e+005 2.765533663e+000 6.9e-001 0.66
2 7.8e+002 1.0e+003 4.2e+004 -9.57e-001 -1.183621946e+005 5.379607955e+000 3.4e-001 0.70
3 2.9e+002 3.8e+002 1.6e+004 -9.11e-001 -1.100271642e+005 2.234927157e+001 1.3e-001 0.78
4 2.9e+002 3.8e+002 1.6e+004 -7.69e-001 -1.081090538e+005 1.691198783e+003 1.3e-001 0.83
5 1.2e+002 1.6e+002 6.6e+003 -7.61e-001 -8.730500726e+004 6.170178286e+003 5.4e-002 0.86
6 3.9e+001 5.1e+001 2.1e+003 -4.57e-001 -4.641557497e+004 1.102767695e+004 1.7e-002 0.91
7 2.3e+001 3.0e+001 1.2e+003 2.33e-001 -3.095362448e+004 7.311515434e+003 1.0e-002 0.94
8 9.3e+000 1.2e+001 5.0e+002 5.26e-001 -1.383958025e+004 4.015287293e+003 4.1e-003 0.98
9 6.1e+000 7.9e+000 3.2e+002 8.28e-001 -9.007628043e+003 2.852555852e+003 2.7e-003 1.02
10 2.1e+000 2.7e+000 1.1e+002 9.03e-001 -3.047258167e+003 1.195224977e+003 9.4e-004 1.05
11 1.6e+000 2.0e+000 8.5e+001 9.77e-001 -2.209373097e+003 9.993568389e+002 7.0e-004 1.08
12 1.0e+000 1.4e+000 5.6e+001 9.78e-001 -1.412745570e+003 7.362078425e+002 4.7e-004 1.11
13 4.1e-001 7.0e-001 2.2e+001 9.86e-001 -4.532334013e+002 3.966890942e+002 1.9e-004 1.14
14 2.4e-001 4.3e-001 1.3e+001 1.00e+000 -1.803313665e+002 3.208030864e+002 1.1e-004 1.16
15 7.5e-002 4.3e-001 4.2e+000 1.00e+000 5.907667411e+001 2.194258810e+002 3.6e-005 1.19
16 2.7e-002 1.8e-001 1.5e+000 1.01e+000 1.312032648e+002 1.889662783e+002 1.3e-005 1.25
17 8.9e-003 1.1e-001 5.2e-001 1.01e+000 1.583140176e+002 1.780792062e+002 4.6e-006 1.31
18 3.5e-003 9.8e-002 2.1e-001 1.01e+000 1.668085079e+002 1.746024950e+002 1.8e-006 1.41
19 9.2e-004 1.2e-001 5.6e-002 1.01e+000 1.708677781e+002 1.729897946e+002 5.1e-007 1.45
20 3.1e-004 1.0e-001 1.9e-002 1.00e+000 1.718819279e+002 1.726108386e+002 1.8e-007 1.52
21 1.1e-004 1.0e-001 7.1e-003 9.98e-001 1.722145287e+002 1.724820216e+002 6.5e-008 1.58
22 3.7e-005 1.0e-001 2.4e-003 9.99e-001 1.723408997e+002 1.724300134e+002 2.2e-008 1.66
23 3.4e-005 9.2e-002 2.1e-003 1.00e+000 1.723477056e+002 1.724279166e+002 1.9e-008 1.72
24 3.0e-005 8.4e-002 1.9e-003 1.00e+000 1.723534337e+002 1.724256232e+002 1.8e-008 1.84
25 2.7e-005 7.6e-002 1.7e-003 1.00e+000 1.723585613e+002 1.724235306e+002 1.6e-008 1.94
26 2.5e-005 7.0e-002 1.6e-003 1.00e+000 1.723631653e+002 1.724216358e+002 1.4e-008 1.99
27 2.2e-005 6.3e-002 1.4e-003 1.00e+000 1.723673034e+002 1.724199249e+002 1.3e-008 2.03
28 2.0e-005 5.8e-002 1.3e-003 1.00e+000 1.723710236e+002 1.724183812e+002 1.2e-008 2.08
29 1.8e-005 5.3e-002 1.1e-003 1.00e+000 1.723743688e+002 1.724169891e+002 1.0e-008 2.11
30 1.6e-005 4.8e-002 1.0e-003 1.00e+000 1.723773770e+002 1.724157339e+002 9.3e-009 2.16
31 1.5e-005 4.4e-002 9.2e-004 1.00e+000 1.723800823e+002 1.724146024e+002 8.4e-009 2.20
32 1.3e-005 4.1e-002 8.2e-004 1.00e+000 1.723825154e+002 1.724135826e+002 7.6e-009 2.23
33 1.2e-005 3.7e-002 7.4e-004 1.00e+000 1.723847038e+002 1.724126634e+002 6.8e-009 2.28
34 1.1e-005 3.4e-002 6.7e-004 1.00e+000 1.723866721e+002 1.724118351e+002 6.1e-009 2.31
35 9.5e-006 3.2e-002 6.0e-004 1.00e+000 1.723884426e+002 1.724110887e+002 5.5e-009 2.36
36 8.6e-006 2.9e-002 5.4e-004 1.00e+000 1.723900351e+002 1.724104163e+002 5.0e-009 2.41
37 7.7e-006 2.7e-002 4.9e-004 1.00e+000 1.723914678e+002 1.724098104e+002 4.5e-009 2.44
38 6.9e-006 2.5e-002 4.4e-004 1.00e+000 1.723927565e+002 1.724092646e+002 4.0e-009 2.48
39 6.3e-006 2.4e-002 3.9e-004 1.00e+000 1.723939159e+002 1.724087729e+002 3.6e-009 2.53
40 5.6e-006 2.2e-002 3.5e-004 1.00e+000 1.723949589e+002 1.724083301e+002 3.3e-009 2.59
41 5.1e-006 2.1e-002 3.2e-004 1.00e+000 1.723958973e+002 1.724079312e+002 2.9e-009 2.67
42 4.6e-006 1.9e-002 2.9e-004 1.00e+000 1.723967416e+002 1.724075719e+002 2.6e-009 2.70
43 4.1e-006 1.8e-002 2.6e-004 1.00e+000 1.723975012e+002 1.724072484e+002 2.4e-009 2.77
44 3.7e-006 1.7e-002 2.3e-004 1.00e+000 1.723981846e+002 1.724069570e+002 2.1e-009 2.81
45 3.3e-006 1.6e-002 2.1e-004 1.00e+000 1.723987995e+002 1.724066946e+002 1.9e-009 2.86
46 3.0e-006 1.5e-002 1.9e-004 1.00e+000 1.723993528e+002 1.724064584e+002 1.7e-009 2.91
47 2.7e-006 1.5e-002 1.7e-004 1.00e+000 1.723998506e+002 1.724062456e+002 1.6e-009 2.94
48 2.4e-006 1.4e-002 1.5e-004 1.00e+000 1.724002985e+002 1.724060540e+002 1.4e-009 2.98
49 2.2e-006 1.3e-002 1.4e-004 1.00e+000 1.724007016e+002 1.724058815e+002 1.3e-009 3.03
50 2.0e-006 1.3e-002 1.2e-004 1.00e+000 1.724010643e+002 1.724057262e+002 1.1e-009 3.06
51 1.8e-006 1.2e-002 1.1e-004 1.00e+000 1.724013906e+002 1.724055863e+002 1.0e-009 3.11
52 1.6e-006 1.2e-002 1.0e-004 1.00e+000 1.724016843e+002 1.724054604e+002 9.2e-010 3.14
53 1.4e-006 1.1e-002 9.0e-005 1.00e+000 1.724019485e+002 1.724053471e+002 8.3e-010 3.17
54 1.3e-006 1.1e-002 8.1e-005 1.00e+000 1.724021863e+002 1.724052450e+002 7.4e-010 3.20
55 1.2e-006 1.1e-002 7.3e-005 1.00e+000 1.724024003e+002 1.724051531e+002 6.7e-010 3.22
56 1.0e-006 1.0e-002 6.6e-005 1.00e+000 1.724025928e+002 1.724050704e+002 6.0e-010 3.25
57 9.4e-007 1.0e-002 5.9e-005 1.00e+000 1.724027661e+002 1.724049959e+002 5.4e-010 3.28
58 8.4e-007 9.8e-003 5.3e-005 1.00e+000 1.724029220e+002 1.724049288e+002 4.9e-010 3.31
59 7.6e-007 9.6e-003 4.8e-005 1.00e+000 1.724030623e+002 1.724048684e+002 4.4e-010 3.34
60 6.8e-007 9.4e-003 4.3e-005 1.00e+000 1.724031886e+002 1.724048141e+002 4.0e-010 3.38
61 6.2e-007 9.2e-003 3.9e-005 1.00e+000 1.724033022e+002 1.724047651e+002 3.6e-010 3.42
62 5.5e-007 9.1e-003 3.5e-005 1.00e+000 1.724034044e+002 1.724047211e+002 3.2e-010 3.45
63 5.0e-007 8.9e-003 3.1e-005 1.00e+000 1.724034964e+002 1.724046814e+002 2.9e-010 3.48
64 4.5e-007 8.8e-003 2.8e-005 1.00e+000 1.724035792e+002 1.724046457e+002 2.6e-010 3.53
65 4.0e-007 8.7e-003 2.5e-005 1.00e+000 1.724036537e+002 1.724046135e+002 2.3e-010 3.56
66 3.6e-007 8.6e-003 2.3e-005 1.00e+000 1.724037207e+002 1.724045846e+002 2.1e-010 3.61
67 3.3e-007 8.5e-003 2.1e-005 1.00e+000 1.724037810e+002 1.724045585e+002 1.9e-010 3.64
68 2.9e-007 8.4e-003 1.9e-005 1.00e+000 1.724038353e+002 1.724045351e+002 1.7e-010 3.67
69 2.7e-007 8.3e-003 1.7e-005 1.00e+000 1.724038842e+002 1.724045139e+002 1.5e-010 3.72
70 2.4e-007 8.2e-003 1.5e-005 1.00e+000 1.724039281e+002 1.724044949e+002 1.4e-010 3.75
71 2.1e-007 8.1e-003 1.4e-005 1.00e+000 1.724039677e+002 1.724044778e+002 1.2e-010 3.80
72 1.9e-007 8.1e-003 1.2e-005 1.00e+000 1.724040033e+002 1.724044624e+002 1.1e-010 3.83
73 1.7e-007 8.0e-003 1.1e-005 1.00e+000 1.724040354e+002 1.724044485e+002 1.0e-010 3.86
74 1.6e-007 8.0e-003 9.9e-006 1.00e+000 1.724040642e+002 1.724044360e+002 9.0e-011 3.91
75 1.4e-007 7.9e-003 8.9e-006 1.00e+000 1.724040901e+002 1.724044248e+002 8.1e-011 3.94
76 1.3e-007 7.9e-003 8.0e-006 1.00e+000 1.724041135e+002 1.724044146e+002 7.3e-011 3.98
77 1.1e-007 7.8e-003 7.2e-006 9.96e-001 1.724041345e+002 1.724044056e+002 6.6e-011 4.02
78 1.0e-007 7.8e-003 6.5e-006 9.99e-001 1.724041534e+002 1.724043974e+002 5.9e-011 4.06
79 9.2e-008 7.7e-003 5.8e-006 9.96e-001 1.724041704e+002 1.724043900e+002 5.3e-011 4.09
80 8.3e-008 7.7e-003 5.2e-006 9.95e-001 1.724041857e+002 1.724043834e+002 4.8e-011 4.14
81 7.5e-008 7.7e-003 4.7e-006 9.90e-001 1.724041995e+002 1.724043774e+002 4.3e-011 4.17
82 6.8e-008 6.9e-003 4.3e-006 1.01e+000 1.724042123e+002 1.724043719e+002 3.9e-011 4.20
83 6.1e-008 6.2e-003 3.8e-006 1.00e+000 1.724042234e+002 1.724043670e+002 3.5e-011 4.22
84 5.5e-008 5.6e-003 3.4e-006 1.01e+000 1.724042338e+002 1.724043625e+002 3.2e-011 4.27
85 4.9e-008 5.0e-003 3.1e-006 1.01e+000 1.724042432e+002 1.724043584e+002 2.9e-011 4.28
86 4.5e-008 4.5e-003 2.8e-006 1.02e+000 1.724042517e+002 1.724043548e+002 2.6e-011 4.31
87 4.1e-008 4.1e-003 2.5e-006 9.49e-001 1.724042588e+002 1.724043517e+002 2.3e-011 4.34
88 3.7e-008 3.7e-003 2.3e-006 9.55e-001 1.724042653e+002 1.724043489e+002 2.1e-011 4.38
89 3.2e-008 3.3e-003 2.0e-006 1.01e+000 1.724042712e+002 1.724043462e+002 1.9e-011 4.41
90 2.9e-008 3.0e-003 1.8e-006 9.69e-001 1.724042765e+002 1.724043438e+002 1.7e-011 4.44
91 2.7e-008 2.7e-003 1.6e-006 9.89e-001 1.724042811e+002 1.724043419e+002 1.5e-011 4.47
92 2.6e-008 2.4e-003 1.5e-006 1.01e+000 1.724042854e+002 1.724043402e+002 1.4e-011 4.50
93 2.2e-008 2.2e-003 1.3e-006 1.10e+000 1.724042909e+002 1.724043377e+002 1.3e-011 4.53
94 2.0e-008 1.9e-003 1.2e-006 9.74e-001 1.724042942e+002 1.724043363e+002 1.2e-011 4.56
95 2.8e-008 3.8e-004 2.3e-007 7.71e-001 1.724043177e+002 1.724043258e+002 2.3e-012 4.63
96 5.1e-008 3.4e-004 2.1e-007 1.46e+000 1.724043178e+002 1.724043273e+002 2.0e-012 4.69
97 5.6e-008 3.1e-004 1.9e-007 7.59e-001 1.724043184e+002 1.724043275e+002 1.8e-012 4.75
98 5.6e-008 3.1e-004 1.9e-007 1.00e+000 1.724043184e+002 1.724043275e+002 1.8e-012 4.81
Interior-point optimizer terminated. Time: 4.83.
Optimizer terminated. Time: 4.84
solsta = 8, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : NEAR_OPTIMAL
Primal. obj: 1.7240431835e+002 nrm: 4e+001 Viol. con: 2e-006 var: 0e+000
Dual. obj: 1.7240432749e+002 nrm: 8e+002 Viol. con: 0e+000 var: 3e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.88 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 476
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: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 879
Optimizer - Cones : 0
Optimizer - Scalar variables : 3468 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 : 1.49e+004 after factor : 1.56e+005
Factor - dense dim. : 0 flops : 3.19e+007
Factor - GP saved nzs : 3.36e+004 GP saved flops : 9.32e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.221785878e+005 2.000000000e+000 1.0e+000 0.05
1 1.6e+003 2.1e+003 8.7e+004 -9.71e-001 -1.214066712e+005 2.660099128e+000 7.1e-001 0.09
2 8.4e+002 1.1e+003 4.5e+004 -9.58e-001 -1.189646846e+005 4.863805171e+000 3.7e-001 0.13
3 2.9e+002 3.8e+002 1.6e+004 -9.18e-001 -1.102645785e+005 2.049729332e+001 1.3e-001 0.16
4 2.9e+002 3.8e+002 1.6e+004 -7.71e-001 -1.081469584e+005 1.868550426e+003 1.3e-001 0.20
5 1.2e+002 1.6e+002 6.6e+003 -7.61e-001 -8.772488974e+004 6.150902556e+003 5.5e-002 0.23
6 4.4e+001 5.7e+001 2.3e+003 -4.61e-001 -5.070062114e+004 1.043568135e+004 1.9e-002 0.27
7 2.6e+001 3.4e+001 1.4e+003 1.64e-001 -3.484751701e+004 7.303402134e+003 1.1e-002 0.30
8 1.3e+001 1.7e+001 6.9e+002 4.66e-001 -1.914484076e+004 4.680701532e+003 5.7e-003 0.33
9 4.5e+000 5.9e+000 2.4e+002 7.41e-001 -6.816032799e+003 2.222120962e+003 2.0e-003 0.36
10 3.3e+000 4.4e+000 1.8e+002 9.38e-001 -4.935025615e+003 1.771288128e+003 1.5e-003 0.39
11 1.1e+000 1.5e+000 6.1e+001 9.62e-001 -1.590027907e+003 7.233818560e+002 5.1e-004 0.42
12 9.0e-001 1.2e+000 4.9e+001 9.87e-001 -1.218352423e+003 6.433182355e+002 4.1e-004 0.45
13 7.3e-001 1.1e+000 4.0e+001 9.68e-001 -9.764191514e+002 5.559435305e+002 3.3e-004 0.48
14 3.7e-001 5.5e-001 2.0e+001 9.89e-001 -3.947781446e+002 3.884794522e+002 1.7e-004 0.52
15 1.9e-001 2.9e-001 1.0e+001 9.96e-001 -1.338233913e+002 2.687078239e+002 8.8e-005 0.55
16 8.8e-002 1.7e-001 4.8e+000 1.00e+000 1.959297385e+001 2.053336068e+002 4.1e-005 0.56
17 8.0e-002 1.5e-001 4.4e+000 1.01e+000 3.912664507e+001 2.087550239e+002 3.7e-005 0.59
18 3.0e-002 9.0e-002 1.7e+000 1.01e+000 1.187895374e+002 1.819959839e+002 1.4e-005 0.61
19 1.2e-002 1.2e-001 6.6e-001 1.02e+000 1.487878092e+002 1.737548602e+002 5.6e-006 0.64
20 5.2e-003 3.5e-001 3.0e-001 1.01e+000 1.585287383e+002 1.697405950e+002 2.5e-006 0.66
21 2.2e-003 1.6e-001 1.3e-001 1.01e+000 1.635939101e+002 1.683120592e+002 1.1e-006 0.69
22 1.4e-003 1.1e-001 8.4e-002 1.01e+000 1.648501324e+002 1.679698897e+002 7.1e-007 0.70
23 5.8e-004 8.8e-002 3.4e-002 1.01e+000 1.662051616e+002 1.674701693e+002 2.9e-007 0.73
24 3.0e-004 7.7e-002 1.8e-002 1.01e+000 1.666393527e+002 1.672955603e+002 1.5e-007 0.75
25 2.7e-004 7.0e-002 1.6e-002 1.01e+000 1.666883383e+002 1.672787846e+002 1.4e-007 0.77
26 2.4e-004 6.4e-002 1.4e-002 1.01e+000 1.667298698e+002 1.672610813e+002 1.2e-007 0.80
27 2.2e-004 5.8e-002 1.3e-002 1.01e+000 1.667675568e+002 1.672455082e+002 1.1e-007 0.81
28 2.0e-004 5.3e-002 1.2e-002 1.01e+000 1.668012770e+002 1.672313179e+002 1.0e-007 0.84
29 1.8e-004 4.9e-002 1.0e-002 1.01e+000 1.668315141e+002 1.672184562e+002 9.1e-008 0.86
30 1.6e-004 4.5e-002 9.4e-003 1.01e+000 1.668586156e+002 1.672067864e+002 8.2e-008 0.89
31 1.4e-004 4.1e-002 8.5e-003 1.01e+000 1.668829092e+002 1.671962000e+002 7.3e-008 0.91
32 1.3e-004 3.8e-002 7.6e-003 1.01e+000 1.669046876e+002 1.671865978e+002 6.6e-008 0.94
33 1.2e-004 3.5e-002 6.9e-003 1.01e+000 1.669242142e+002 1.671778926e+002 5.9e-008 0.95
34 1.0e-004 3.2e-002 6.2e-003 1.00e+000 1.669417241e+002 1.671700008e+002 5.4e-008 0.98
35 9.4e-005 3.0e-002 5.6e-003 1.00e+000 1.669574296e+002 1.671628518e+002 4.8e-008 1.00
36 8.4e-005 2.7e-002 5.0e-003 1.00e+000 1.669715184e+002 1.671563760e+002 4.3e-008 1.01
37 7.6e-005 2.6e-002 4.5e-003 1.00e+000 1.669841600e+002 1.671505141e+002 3.9e-008 1.05
38 6.8e-005 2.4e-002 4.1e-003 1.00e+000 1.669955043e+002 1.671452101e+002 3.5e-008 1.06
39 6.1e-005 2.2e-002 3.7e-003 1.00e+000 1.670056856e+002 1.671404089e+002 3.2e-008 1.09
40 5.5e-005 2.1e-002 3.3e-003 1.00e+000 1.670148256e+002 1.671360671e+002 2.8e-008 1.11
41 5.0e-005 2.0e-002 3.0e-003 1.00e+000 1.670230312e+002 1.671321412e+002 2.6e-008 1.13
42 4.5e-005 1.8e-002 2.7e-003 1.00e+000 1.670303988e+002 1.671285927e+002 2.3e-008 1.16
43 4.0e-005 1.7e-002 2.4e-003 1.00e+000 1.670370147e+002 1.671253848e+002 2.1e-008 1.17
44 3.6e-005 1.6e-002 2.2e-003 1.00e+000 1.670429566e+002 1.671224868e+002 1.9e-008 1.20
45 3.3e-005 1.6e-002 1.9e-003 1.00e+000 1.670482935e+002 1.671198678e+002 1.7e-008 1.22
46 2.9e-005 1.5e-002 1.7e-003 1.00e+000 1.670530878e+002 1.671175049e+002 1.5e-008 1.25
47 2.6e-005 1.4e-002 1.6e-003 1.00e+000 1.670573944e+002 1.671153663e+002 1.4e-008 1.26
48 2.4e-005 1.4e-002 1.4e-003 1.00e+000 1.670612647e+002 1.671134394e+002 1.2e-008 1.28
49 2.1e-005 1.3e-002 1.3e-003 1.00e+000 1.670647417e+002 1.671116983e+002 1.1e-008 1.31
50 1.9e-005 1.3e-002 1.1e-003 1.00e+000 1.670678665e+002 1.671101273e+002 9.9e-009 1.33
51 1.7e-005 1.2e-002 1.0e-003 1.00e+000 1.670706748e+002 1.671087093e+002 8.9e-009 1.39
52 1.6e-005 1.2e-002 9.3e-004 1.00e+000 1.670731990e+002 1.671074290e+002 8.1e-009 1.42
53 1.4e-005 1.1e-002 8.4e-004 1.00e+000 1.670754681e+002 1.671062735e+002 7.2e-009 1.47
54 1.3e-005 1.1e-002 7.5e-004 1.00e+000 1.670775079e+002 1.671052318e+002 6.5e-009 1.51
55 1.1e-005 1.1e-002 6.8e-004 1.00e+000 1.670793416e+002 1.671042924e+002 5.9e-009 1.56
56 1.0e-005 1.1e-002 6.1e-004 1.00e+000 1.670809901e+002 1.671034463e+002 5.3e-009 1.61
57 9.2e-006 1.0e-002 5.5e-004 1.00e+000 1.670824723e+002 1.671026829e+002 4.8e-009 1.76
58 8.3e-006 1.0e-002 4.9e-004 1.00e+000 1.670838053e+002 1.671019939e+002 4.3e-009 1.84
59 7.5e-006 1.0e-002 4.4e-004 1.00e+000 1.670850038e+002 1.671013743e+002 3.9e-009 1.89
60 6.7e-006 9.8e-003 4.0e-004 9.98e-001 1.670860814e+002 1.671008167e+002 3.5e-009 2.14
61 6.0e-006 9.7e-003 3.6e-004 1.00e+000 1.670870508e+002 1.671003121e+002 3.1e-009 2.16
62 5.4e-006 9.5e-003 3.2e-004 9.98e-001 1.670879226e+002 1.670998591e+002 2.8e-009 2.17
63 1.7e-006 3.0e-003 1.0e-004 9.99e-001 1.670932394e+002 1.670970613e+002 9.0e-010 2.33
64 1.6e-006 2.7e-003 9.3e-005 9.96e-001 1.670934909e+002 1.670969316e+002 8.1e-010 2.34
65 1.4e-006 2.5e-003 8.4e-005 1.01e+000 1.670937204e+002 1.670968145e+002 7.3e-010 2.36
66 5.6e-007 9.8e-004 3.3e-005 9.99e-001 1.670949335e+002 1.670961647e+002 2.9e-010 2.39
67 5.0e-007 8.8e-004 3.0e-005 1.03e+000 1.670950268e+002 1.670961172e+002 2.7e-010 2.41
68 4.5e-007 7.9e-004 2.7e-005 1.05e+000 1.670951117e+002 1.670960698e+002 2.4e-010 2.44
69 4.1e-007 7.1e-004 2.4e-005 1.00e+000 1.670951743e+002 1.670960365e+002 2.2e-010 2.45
70 3.7e-007 6.4e-004 2.2e-005 9.57e-001 1.670952301e+002 1.670960077e+002 2.0e-010 2.48
71 3.3e-007 5.8e-004 2.0e-005 9.63e-001 1.670952804e+002 1.670959815e+002 1.8e-010 2.50
72 3.0e-007 5.2e-004 1.8e-005 1.03e+000 1.670953325e+002 1.670959525e+002 1.6e-010 2.52
73 2.7e-007 4.7e-004 1.6e-005 9.75e-001 1.670953727e+002 1.670959313e+002 1.5e-010 2.55
74 2.4e-007 4.2e-004 1.4e-005 9.43e-001 1.670954086e+002 1.670959128e+002 1.3e-010 2.56
75 2.2e-007 3.8e-004 1.3e-005 9.92e-001 1.670954412e+002 1.670958952e+002 1.2e-010 2.58
76 1.9e-007 3.4e-004 1.2e-005 9.68e-001 1.670954705e+002 1.670958796e+002 1.1e-010 2.61
77 1.7e-007 3.1e-004 1.0e-005 9.73e-001 1.670954968e+002 1.670958656e+002 9.6e-011 2.63
78 1.6e-007 2.8e-004 9.4e-006 1.02e+000 1.670955225e+002 1.670958513e+002 8.7e-011 2.66
79 1.4e-007 2.5e-004 8.5e-006 1.02e+000 1.670955455e+002 1.670958385e+002 7.9e-011 2.69
80 1.3e-007 2.2e-004 7.6e-006 9.39e-001 1.670955643e+002 1.670958288e+002 7.1e-011 2.73
81 1.2e-007 2.0e-004 6.9e-006 8.54e-001 1.670955810e+002 1.670958208e+002 6.4e-011 2.78
82 1.0e-007 1.8e-004 6.2e-006 1.17e+000 1.670956080e+002 1.670958037e+002 6.3e-011 2.83
83 9.3e-008 1.6e-004 5.6e-006 1.05e+000 1.670956233e+002 1.670957951e+002 5.8e-011 2.86
84 8.4e-008 1.5e-004 5.0e-006 8.87e-001 1.670956343e+002 1.670957897e+002 5.2e-011 2.89
85 7.5e-008 1.3e-004 4.5e-006 1.03e+000 1.670956455e+002 1.670957835e+002 4.7e-011 2.91
86 7.1e-008 1.2e-004 4.1e-006 1.12e+000 1.670956593e+002 1.670957752e+002 4.5e-011 2.94
87 7.4e-008 1.1e-004 3.7e-006 1.76e+000 1.670956680e+002 1.670957672e+002 4.0e-011 2.97
88 6.5e-008 9.6e-005 3.3e-006 8.04e-001 1.670956745e+002 1.670957644e+002 3.6e-011 2.98
89 6.5e-008 8.7e-005 3.0e-006 1.51e+000 1.670956812e+002 1.670957596e+002 3.2e-011 3.02
90 5.8e-008 7.8e-005 2.7e-006 8.21e-001 1.670956864e+002 1.670957575e+002 2.9e-011 3.03
91 5.0e-008 7.0e-005 2.4e-006 8.10e-001 1.670956911e+002 1.670957557e+002 2.6e-011 3.06
92 4.5e-008 6.3e-005 2.2e-006 7.06e-001 1.670956952e+002 1.670957543e+002 2.4e-011 3.08
93 2.6e-008 5.0e-006 1.7e-007 6.62e-001 1.670957352e+002 1.670957407e+002 4.7e-012 3.11
Interior-point optimizer terminated. Time: 3.11.
Optimizer terminated. Time: 3.14
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709573520e+002 nrm: 2e+001 Viol. con: 8e-007 var: 0e+000
Dual. obj: 1.6709574072e+002 nrm: 9e+002 Viol. con: 0e+000 var: 3e-005
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.18 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 476
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 : 879
Optimizer - Cones : 0
Optimizer - Scalar variables : 3468 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 : 1.49e+004 after factor : 1.56e+005
Factor - dense dim. : 0 flops : 3.19e+007
Factor - GP saved nzs : 3.36e+004 GP saved flops : 9.32e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.220143447e+005 2.000000000e+000 1.0e+000 0.11
1 1.6e+003 2.1e+003 8.8e+004 -9.71e-001 -1.212591715e+005 2.640254763e+000 7.2e-001 0.27
2 8.7e+002 1.1e+003 4.6e+004 -9.59e-001 -1.189550420e+005 4.682529280e+000 3.8e-001 0.28
3 2.9e+002 3.8e+002 1.6e+004 -9.20e-001 -1.100952117e+005 2.021804982e+001 1.3e-001 0.30
4 2.9e+002 3.8e+002 1.5e+004 -7.71e-001 -1.079033794e+005 1.936816672e+003 1.3e-001 0.33
5 1.2e+002 1.6e+002 6.4e+003 -7.61e-001 -8.661664429e+004 6.372553145e+003 5.3e-002 0.34
6 4.0e+001 5.3e+001 2.2e+003 -4.46e-001 -4.770858686e+004 1.093367882e+004 1.8e-002 0.38
7 2.5e+001 3.2e+001 1.3e+003 2.16e-001 -3.354888866e+004 7.490312063e+003 1.1e-002 0.39
8 1.3e+001 1.7e+001 7.2e+002 4.91e-001 -2.001027597e+004 4.589974868e+003 5.9e-003 0.41
9 4.3e+000 5.7e+000 2.3e+002 7.30e-001 -6.591188682e+003 2.088739663e+003 1.9e-003 0.44
10 2.2e+000 2.9e+000 1.2e+002 9.44e-001 -3.163756055e+003 1.349051061e+003 1.0e-003 0.45
11 1.1e+000 1.4e+000 5.9e+001 9.84e-001 -1.481045240e+003 7.397191597e+002 4.9e-004 0.48
12 7.9e-001 1.0e+000 4.3e+001 9.84e-001 -1.052444585e+003 5.860710883e+002 3.6e-004 0.50
13 5.0e-001 7.0e-001 2.7e+001 9.71e-001 -6.084299400e+002 4.294657332e+002 2.3e-004 0.52
14 2.1e-001 3.0e-001 1.2e+001 9.99e-001 -1.650999029e+002 2.772124482e+002 9.7e-005 0.55
15 1.2e-001 1.8e-001 6.7e+000 1.00e+000 -3.337576883e+001 2.225616069e+002 5.6e-005 0.73
16 7.4e-002 1.2e-001 4.1e+000 1.01e+000 4.552007590e+001 2.018383207e+002 3.5e-005 0.77
17 3.6e-002 7.3e-002 2.0e+000 1.01e+000 1.080008887e+002 1.837221931e+002 1.7e-005 0.83
18 1.1e-002 1.7e-001 5.9e-001 1.01e+000 1.504801593e+002 1.727402681e+002 5.0e-006 0.88
19 3.2e-003 1.9e-001 1.8e-001 1.01e+000 1.614872389e+002 1.684248797e+002 1.6e-006 0.91
20 1.3e-003 1.4e-001 7.5e-002 1.01e+000 1.646188572e+002 1.674193740e+002 6.4e-007 0.92
21 7.8e-004 1.0e-001 4.6e-002 9.79e-001 1.654066214e+002 1.671285240e+002 4.0e-007 0.95
22 2.3e-004 1.1e-001 1.4e-002 9.87e-001 1.662683463e+002 1.667965272e+002 1.2e-007 0.97
23 7.9e-005 1.1e-001 4.9e-003 1.01e+000 1.665100036e+002 1.666938933e+002 4.4e-008 0.98
24 3.6e-005 8.9e-002 2.2e-003 1.01e+000 1.665800459e+002 1.666632347e+002 2.0e-008 1.02
25 3.2e-005 8.3e-002 2.0e-003 1.01e+000 1.665865681e+002 1.666618978e+002 1.8e-008 1.03
26 2.9e-005 7.5e-002 1.8e-003 1.00e+000 1.665917353e+002 1.666595087e+002 1.6e-008 1.06
27 2.6e-005 6.8e-002 1.7e-003 1.00e+000 1.665963866e+002 1.666573762e+002 1.5e-008 1.08
28 2.4e-005 6.2e-002 1.5e-003 1.00e+000 1.666005667e+002 1.666554490e+002 1.3e-008 1.09
29 2.1e-005 5.6e-002 1.3e-003 1.00e+000 1.666043215e+002 1.666537085e+002 1.2e-008 1.13
30 1.9e-005 5.1e-002 1.2e-003 1.00e+000 1.666076952e+002 1.666521375e+002 1.1e-008 1.14
31 1.7e-005 4.7e-002 1.1e-003 1.00e+000 1.666107270e+002 1.666507202e+002 9.6e-009 1.17
32 1.6e-005 4.3e-002 9.7e-004 1.00e+000 1.666134517e+002 1.666494415e+002 8.6e-009 1.19
33 1.4e-005 4.0e-002 8.8e-004 1.00e+000 1.666159007e+002 1.666482882e+002 7.8e-009 1.20
34 1.3e-005 3.7e-002 7.9e-004 1.00e+000 1.666181019e+002 1.666472480e+002 7.0e-009 1.23
35 1.1e-005 3.4e-002 7.1e-004 1.00e+000 1.666200806e+002 1.666463099e+002 6.3e-009 1.25
36 1.0e-005 3.1e-002 6.4e-004 1.00e+000 1.666218594e+002 1.666454640e+002 5.7e-009 1.28
37 9.2e-006 2.9e-002 5.8e-004 1.00e+000 1.666234586e+002 1.666447012e+002 5.1e-009 1.30
38 8.3e-006 2.7e-002 5.2e-004 1.00e+000 1.666248963e+002 1.666440135e+002 4.6e-009 1.31
39 7.4e-006 2.5e-002 4.7e-004 1.00e+000 1.666261890e+002 1.666433935e+002 4.1e-009 1.34
40 6.7e-006 2.3e-002 4.2e-004 1.00e+000 1.666273513e+002 1.666428346e+002 3.7e-009 1.36
41 6.0e-006 2.2e-002 3.8e-004 1.00e+000 1.666283964e+002 1.666423308e+002 3.3e-009 1.39
42 5.4e-006 2.0e-002 3.4e-004 1.00e+000 1.666293362e+002 1.666418767e+002 3.0e-009 1.41
43 4.9e-006 1.9e-002 3.1e-004 1.00e+000 1.666301813e+002 1.666414673e+002 2.7e-009 1.44
44 4.4e-006 1.8e-002 2.8e-004 1.00e+000 1.666309412e+002 1.666410983e+002 2.4e-009 1.47
45 3.9e-006 1.7e-002 2.5e-004 1.00e+000 1.666316246e+002 1.666407657e+002 2.2e-009 1.50
46 3.6e-006 1.6e-002 2.2e-004 1.00e+000 1.666322390e+002 1.666404658e+002 2.0e-009 1.52
47 3.2e-006 1.5e-002 2.0e-004 1.00e+000 1.666327915e+002 1.666401955e+002 1.8e-009 1.56
48 2.9e-006 1.5e-002 1.8e-004 1.00e+000 1.666332884e+002 1.666399518e+002 1.6e-009 1.59
49 2.6e-006 1.4e-002 1.6e-004 1.00e+000 1.666337352e+002 1.666397321e+002 1.4e-009 1.61
50 2.3e-006 1.3e-002 1.5e-004 1.00e+000 1.666341370e+002 1.666395342e+002 1.3e-009 1.64
51 2.1e-006 1.3e-002 1.3e-004 1.00e+000 1.666344984e+002 1.666393558e+002 1.2e-009 1.67
52 1.9e-006 1.2e-002 1.2e-004 1.00e+000 1.666348234e+002 1.666391950e+002 1.0e-009 1.70
53 1.7e-006 1.2e-002 1.1e-004 1.00e+000 1.666351158e+002 1.666390502e+002 9.4e-010 1.73
54 1.5e-006 1.2e-002 9.6e-005 1.00e+000 1.666353788e+002 1.666389197e+002 8.5e-010 1.75
55 1.4e-006 1.1e-002 8.6e-005 1.00e+000 1.666356153e+002 1.666388021e+002 7.7e-010 1.78
56 1.2e-006 1.1e-002 7.8e-005 1.00e+000 1.666358280e+002 1.666386962e+002 6.9e-010 1.81
57 1.1e-006 1.1e-002 7.0e-005 1.00e+000 1.666360194e+002 1.666386007e+002 6.2e-010 1.84
58 1.0e-006 1.0e-002 6.3e-005 1.00e+000 1.666361915e+002 1.666385146e+002 5.6e-010 1.88
59 9.0e-007 1.0e-002 5.7e-005 1.00e+000 1.666363463e+002 1.666384371e+002 5.0e-010 1.91
60 8.1e-007 9.9e-003 5.1e-005 1.00e+000 1.666364855e+002 1.666383672e+002 4.5e-010 1.94
61 7.3e-007 9.7e-003 4.6e-005 1.00e+000 1.666366107e+002 1.666383042e+002 4.1e-010 1.97
62 6.6e-007 9.5e-003 4.1e-005 1.00e+000 1.666367232e+002 1.666382474e+002 3.7e-010 2.00
63 5.9e-007 9.4e-003 3.7e-005 1.00e+000 1.666368245e+002 1.666381963e+002 3.3e-010 2.03
64 5.3e-007 9.3e-003 3.3e-005 1.00e+000 1.666369155e+002 1.666381501e+002 3.0e-010 2.06
65 4.8e-007 9.1e-003 3.0e-005 1.00e+000 1.666369973e+002 1.666381085e+002 2.7e-010 2.11
66 4.3e-007 9.0e-003 2.7e-005 1.00e+000 1.666370709e+002 1.666380710e+002 2.4e-010 2.14
67 3.9e-007 8.9e-003 2.4e-005 1.00e+000 1.666371371e+002 1.666380371e+002 2.2e-010 2.17
68 3.5e-007 8.8e-003 2.2e-005 1.00e+000 1.666371966e+002 1.666380066e+002 1.9e-010 2.20
69 3.1e-007 8.7e-003 2.0e-005 1.00e+000 1.666372501e+002 1.666379792e+002 1.8e-010 2.23
70 2.8e-007 8.7e-003 1.8e-005 1.00e+000 1.666372983e+002 1.666379544e+002 1.6e-010 2.28
71 2.6e-007 8.6e-003 1.6e-005 1.00e+000 1.666373416e+002 1.666379321e+002 1.4e-010 2.31
72 2.3e-007 8.5e-003 1.4e-005 1.00e+000 1.666373805e+002 1.666379120e+002 1.3e-010 2.34
73 2.1e-007 8.5e-003 1.3e-005 1.00e+000 1.666374156e+002 1.666378939e+002 1.1e-010 2.38
74 1.9e-007 8.4e-003 1.2e-005 1.00e+000 1.666374471e+002 1.666378776e+002 1.0e-010 2.41
75 1.7e-007 8.4e-003 1.1e-005 1.00e+000 1.666374754e+002 1.666378629e+002 9.3e-011 2.44
76 1.5e-007 8.3e-003 9.5e-006 1.00e+000 1.666375010e+002 1.666378496e+002 8.4e-011 2.47
77 1.4e-007 8.3e-003 8.5e-006 1.00e+000 1.666375239e+002 1.666378377e+002 7.5e-011 2.50
78 1.2e-007 8.2e-003 7.7e-006 1.00e+000 1.666375446e+002 1.666378270e+002 6.8e-011 2.53
79 1.1e-007 8.2e-003 6.9e-006 1.00e+000 1.666375632e+002 1.666378173e+002 6.1e-011 2.58
80 9.9e-008 8.1e-003 6.2e-006 1.00e+000 1.666375799e+002 1.666378086e+002 5.5e-011 2.61
81 8.9e-008 8.1e-003 5.6e-006 1.00e+000 1.666375950e+002 1.666378008e+002 4.9e-011 2.64
82 8.0e-008 8.1e-003 5.0e-006 1.00e+000 1.666376085e+002 1.666377938e+002 4.5e-011 2.67
83 7.2e-008 8.0e-003 4.5e-006 1.00e+000 1.666376207e+002 1.666377874e+002 4.0e-011 2.70
84 6.5e-008 8.0e-003 4.1e-006 1.00e+000 1.666376317e+002 1.666377817e+002 3.6e-011 2.73
85 5.8e-008 8.0e-003 3.7e-006 9.99e-001 1.666376415e+002 1.666377766e+002 3.2e-011 2.77
86 5.3e-008 8.0e-003 3.3e-006 1.00e+000 1.666376504e+002 1.666377719e+002 2.9e-011 2.80
87 4.7e-008 7.9e-003 3.0e-006 9.97e-001 1.666376584e+002 1.666377678e+002 2.6e-011 2.83
88 4.3e-008 7.9e-003 2.7e-006 9.99e-001 1.666376656e+002 1.666377641e+002 2.4e-011 2.86
89 3.8e-008 7.9e-003 2.4e-006 9.96e-001 1.666376721e+002 1.666377607e+002 2.1e-011 2.89
90 3.4e-008 7.9e-003 2.2e-006 9.99e-001 1.666376779e+002 1.666377577e+002 1.9e-011 2.92
91 3.1e-008 7.8e-003 1.9e-006 1.00e+000 1.666376832e+002 1.666377550e+002 1.7e-011 2.95
92 2.8e-008 7.8e-003 1.8e-006 9.96e-001 1.666376879e+002 1.666377525e+002 1.6e-011 2.98
93 2.5e-008 7.0e-003 1.6e-006 1.00e+000 1.666376922e+002 1.666377503e+002 1.4e-011 3.02
94 2.3e-008 6.3e-003 1.4e-006 1.00e+000 1.666376960e+002 1.666377483e+002 1.3e-011 3.05
95 2.0e-008 5.7e-003 1.3e-006 9.96e-001 1.666376995e+002 1.666377465e+002 1.1e-011 3.08
96 1.8e-008 5.1e-003 1.2e-006 9.96e-001 1.666377025e+002 1.666377449e+002 1.0e-011 3.11
97 1.6e-008 4.6e-003 1.0e-006 1.00e+000 1.666377053e+002 1.666377434e+002 9.2e-012 3.14
98 1.5e-008 4.1e-003 9.3e-007 9.96e-001 1.666377078e+002 1.666377421e+002 8.3e-012 3.17
99 1.3e-008 3.7e-003 8.4e-007 1.00e+000 1.666377101e+002 1.666377410e+002 7.5e-012 3.20
100 1.2e-008 3.4e-003 7.5e-007 9.91e-001 1.666377121e+002 1.666377399e+002 6.7e-012 3.22
101 1.1e-008 3.0e-003 6.8e-007 9.93e-001 1.666377139e+002 1.666377391e+002 6.0e-012 3.27
102 9.9e-009 2.7e-003 6.1e-007 9.98e-001 1.666377156e+002 1.666377383e+002 5.4e-012 3.30
103 9.0e-009 2.4e-003 5.5e-007 9.82e-001 1.666377170e+002 1.666377376e+002 4.9e-012 3.33
104 8.1e-009 2.2e-003 5.0e-007 9.98e-001 1.666377184e+002 1.666377369e+002 4.4e-012 3.36
105 7.3e-009 2.0e-003 4.5e-007 1.00e+000 1.666377196e+002 1.666377362e+002 4.0e-012 3.41
106 6.5e-009 1.8e-003 4.0e-007 1.00e+000 1.666377206e+002 1.666377356e+002 3.6e-012 3.44
107 5.9e-009 1.6e-003 3.6e-007 1.02e+000 1.666377217e+002 1.666377350e+002 3.2e-012 3.47
108 5.3e-009 1.4e-003 3.2e-007 9.96e-001 1.666377226e+002 1.666377346e+002 2.9e-012 3.50
109 4.9e-009 1.3e-003 2.9e-007 1.01e+000 1.666377234e+002 1.666377341e+002 2.6e-012 3.53
110 4.4e-009 1.2e-003 2.6e-007 9.78e-001 1.666377241e+002 1.666377337e+002 2.4e-012 3.58
111 4.0e-009 1.1e-003 2.4e-007 9.89e-001 1.666377247e+002 1.666377334e+002 2.1e-012 3.59
112 3.6e-009 9.5e-004 2.1e-007 1.05e+000 1.666377254e+002 1.666377330e+002 2.0e-012 3.63
113 1.9e-009 5.2e-005 1.2e-008 9.69e-001 1.666377301e+002 1.666377306e+002 1.4e-013 3.66
Interior-point optimizer terminated. Time: 3.66.
Optimizer terminated. Time: 3.69
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663773014e+002 nrm: 2e+001 Viol. con: 6e-008 var: 0e+000
Dual. obj: 1.6663773057e+002 nrm: 9e+002 Viol. con: 0e+000 var: 4e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.71 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 476
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 : 879
Optimizer - Cones : 0
Optimizer - Scalar variables : 3468 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 : 1.49e+004 after factor : 1.56e+005
Factor - dense dim. : 0 flops : 3.19e+007
Factor - GP saved nzs : 3.36e+004 GP saved flops : 9.32e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.220319973e+005 2.000000000e+000 1.0e+000 0.06
1 1.6e+003 2.2e+003 8.8e+004 -9.71e-001 -1.212833122e+005 2.632004227e+000 7.2e-001 0.25
2 8.7e+002 1.1e+003 4.6e+004 -9.59e-001 -1.189823940e+005 4.666169681e+000 3.8e-001 0.31
3 2.9e+002 3.8e+002 1.5e+004 -9.21e-001 -1.100641610e+005 2.015045282e+001 1.3e-001 0.52
4 2.9e+002 3.8e+002 1.5e+004 -7.70e-001 -1.078031454e+005 1.994959437e+003 1.3e-001 0.63
5 1.2e+002 1.5e+002 6.3e+003 -7.60e-001 -8.640740706e+004 6.394124162e+003 5.2e-002 0.75
6 4.2e+001 5.5e+001 2.2e+003 -4.43e-001 -4.898712015e+004 1.086216248e+004 1.9e-002 0.80
7 2.5e+001 3.3e+001 1.3e+003 1.92e-001 -3.395446703e+004 7.526122582e+003 1.1e-002 1.08
8 1.2e+001 1.6e+001 6.6e+002 4.83e-001 -1.838442105e+004 4.481169954e+003 5.5e-003 1.17
9 4.6e+000 6.0e+000 2.5e+002 7.58e-001 -6.931486541e+003 2.200004748e+003 2.0e-003 1.24
10 2.1e+000 2.8e+000 1.1e+002 9.37e-001 -3.009276857e+003 1.319276602e+003 9.6e-004 1.30
11 1.3e+000 1.6e+000 6.8e+001 9.86e-001 -1.730346320e+003 8.400369555e+002 5.7e-004 1.38
12 8.2e-001 1.1e+000 4.4e+001 9.87e-001 -1.080972092e+003 6.056614004e+002 3.7e-004 1.42
13 6.1e-001 8.3e-001 3.3e+001 9.60e-001 -7.883843030e+002 4.868498427e+002 2.8e-004 1.47
14 3.6e-001 4.9e-001 1.9e+001 9.97e-001 -3.682589157e+002 3.733361772e+002 1.6e-004 1.50
15 1.8e-001 2.5e-001 9.9e+000 9.91e-001 -1.185617943e+002 2.596137677e+002 8.3e-005 1.56
16 8.1e-002 1.3e-001 4.5e+000 1.00e+000 2.918576337e+001 2.003931806e+002 3.8e-005 1.61
17 6.9e-002 1.1e-001 3.8e+000 1.02e+000 5.238168902e+001 1.975392177e+002 3.2e-005 1.64
18 2.8e-002 7.4e-002 1.5e+000 1.02e+000 1.223936979e+002 1.805339465e+002 1.3e-005 1.69
19 7.7e-003 2.3e-001 4.3e-001 1.01e+000 1.548889867e+002 1.711911382e+002 3.6e-006 1.74
20 2.8e-003 2.6e-001 1.6e-001 1.00e+000 1.620101850e+002 1.680930802e+002 1.4e-006 1.77
21 1.5e-003 1.5e-001 8.6e-002 1.00e+000 1.642010418e+002 1.674227856e+002 7.3e-007 1.81
22 5.3e-004 1.0e-001 3.2e-002 1.01e+000 1.656895849e+002 1.668758720e+002 2.7e-007 1.94
23 1.9e-004 1.0e-001 1.1e-002 1.01e+000 1.662386029e+002 1.666574667e+002 9.8e-008 2.05
24 1.7e-004 9.6e-002 1.0e-002 1.01e+000 1.662706709e+002 1.666475056e+002 8.8e-008 2.09
25 1.5e-004 8.7e-002 9.1e-003 1.01e+000 1.662970933e+002 1.666361237e+002 8.0e-008 2.19
26 1.4e-004 7.9e-002 8.2e-003 1.01e+000 1.663209873e+002 1.666260145e+002 7.2e-008 2.27
27 1.2e-004 7.2e-002 7.4e-003 1.01e+000 1.663423900e+002 1.666168326e+002 6.4e-008 2.33
28 1.1e-004 6.5e-002 6.6e-003 1.01e+000 1.663615960e+002 1.666085265e+002 5.8e-008 2.44
29 9.9e-005 6.0e-002 6.0e-003 1.01e+000 1.663788274e+002 1.666010089e+002 5.2e-008 2.50
30 8.9e-005 5.4e-002 5.4e-003 1.01e+000 1.663942885e+002 1.665942059e+002 4.7e-008 2.58
31 8.0e-005 5.0e-002 4.8e-003 1.01e+000 1.664081623e+002 1.665880503e+002 4.2e-008 2.63
32 7.2e-005 4.6e-002 4.4e-003 1.01e+000 1.664206129e+002 1.665824811e+002 3.8e-008 2.67
33 6.5e-005 4.2e-002 3.9e-003 1.01e+000 1.664317873e+002 1.665774435e+002 3.4e-008 2.89
34 5.8e-005 3.8e-002 3.5e-003 1.01e+000 1.664418176e+002 1.665728876e+002 3.1e-008 2.94
35 5.2e-005 3.5e-002 3.2e-003 1.00e+000 1.664508219e+002 1.665687681e+002 2.8e-008 2.98
36 4.7e-005 3.3e-002 2.9e-003 1.00e+000 1.664589059e+002 1.665650440e+002 2.5e-008 3.02
37 4.3e-005 3.0e-002 2.6e-003 1.00e+000 1.664661647e+002 1.665616778e+002 2.3e-008 3.06
38 3.8e-005 2.8e-002 2.3e-003 1.00e+000 1.664726830e+002 1.665586359e+002 2.0e-008 3.09
39 3.4e-005 2.6e-002 2.1e-003 1.00e+000 1.664785370e+002 1.665558874e+002 1.8e-008 3.14
40 3.1e-005 2.4e-002 1.9e-003 1.00e+000 1.664837950e+002 1.665534045e+002 1.6e-008 3.19
41 2.8e-005 2.2e-002 1.7e-003 1.00e+000 1.664885181e+002 1.665511620e+002 1.5e-008 3.22
42 2.5e-005 2.1e-002 1.5e-003 1.00e+000 1.664927611e+002 1.665491369e+002 1.3e-008 3.27
43 2.3e-005 2.0e-002 1.4e-003 1.00e+000 1.664965733e+002 1.665473085e+002 1.2e-008 3.31
44 2.0e-005 1.9e-002 1.2e-003 1.00e+000 1.664999988e+002 1.665456581e+002 1.1e-008 3.36
45 1.8e-005 1.7e-002 1.1e-003 1.00e+000 1.665030771e+002 1.665441686e+002 9.7e-009 3.41
46 1.6e-005 1.7e-002 1.0e-003 1.00e+000 1.665058437e+002 1.665428245e+002 8.7e-009 3.45
47 1.5e-005 1.6e-002 9.0e-004 1.00e+000 1.665083305e+002 1.665416121e+002 7.9e-009 3.48
48 1.3e-005 1.5e-002 8.1e-004 1.00e+000 1.665105660e+002 1.665405185e+002 7.1e-009 3.53
49 1.2e-005 1.4e-002 7.3e-004 1.00e+000 1.665125758e+002 1.665395323e+002 6.4e-009 3.56
50 1.1e-005 1.4e-002 6.5e-004 1.00e+000 1.665143829e+002 1.665386433e+002 5.7e-009 3.61
51 9.7e-006 1.3e-002 5.9e-004 1.00e+000 1.665160079e+002 1.665378418e+002 5.2e-009 3.64
52 8.8e-006 1.3e-002 5.3e-004 1.00e+000 1.665174693e+002 1.665371195e+002 4.6e-009 3.69
53 7.9e-006 1.2e-002 4.8e-004 1.00e+000 1.665187837e+002 1.665364686e+002 4.2e-009 3.72
54 7.1e-006 1.2e-002 4.3e-004 1.00e+000 1.665199658e+002 1.665358821e+002 3.8e-009 3.77
55 6.4e-006 1.1e-002 3.9e-004 1.00e+000 1.665210291e+002 1.665353537e+002 3.4e-009 3.80
56 5.7e-006 1.1e-002 3.5e-004 1.00e+000 1.665219856e+002 1.665348776e+002 3.0e-009 3.84
57 5.2e-006 1.1e-002 3.1e-004 1.00e+000 1.665228459e+002 1.665344487e+002 2.7e-009 3.88
58 4.7e-006 1.0e-002 2.8e-004 1.00e+000 1.665236198e+002 1.665340622e+002 2.5e-009 3.92
59 4.2e-006 1.0e-002 2.5e-004 1.00e+000 1.665243159e+002 1.665337141e+002 2.2e-009 3.97
60 3.8e-006 1.0e-002 2.3e-004 1.00e+000 1.665249419e+002 1.665334003e+002 2.0e-009 4.02
61 3.4e-006 9.9e-003 2.1e-004 1.00e+000 1.665255051e+002 1.665331176e+002 1.8e-009 4.06
62 3.1e-006 9.7e-003 1.9e-004 1.00e+000 1.665260115e+002 1.665328629e+002 1.6e-009 4.11
63 2.7e-006 9.5e-003 1.7e-004 1.00e+000 1.665264671e+002 1.665326333e+002 1.5e-009 4.14
64 2.5e-006 9.4e-003 1.5e-004 1.00e+000 1.665268768e+002 1.665324264e+002 1.3e-009 4.19
65 2.2e-006 9.3e-003 1.3e-004 1.00e+000 1.665272454e+002 1.665322401e+002 1.2e-009 4.24
66 2.0e-006 9.2e-003 1.2e-004 1.00e+000 1.665275770e+002 1.665320722e+002 1.1e-009 4.28
67 1.8e-006 9.1e-003 1.1e-004 1.00e+000 1.665278753e+002 1.665319210e+002 9.6e-010 4.33
68 1.6e-006 9.0e-003 9.8e-005 1.00e+000 1.665281436e+002 1.665317848e+002 8.6e-010 4.36
69 1.5e-006 8.9e-003 8.9e-005 1.00e+000 1.665283850e+002 1.665316621e+002 7.8e-010 4.41
70 1.3e-006 8.8e-003 8.0e-005 1.00e+000 1.665286022e+002 1.665315516e+002 7.0e-010 4.45
71 1.2e-006 8.8e-003 7.2e-005 1.00e+000 1.665287975e+002 1.665314520e+002 6.3e-010 4.50
72 1.1e-006 8.7e-003 6.5e-005 1.00e+000 1.665289732e+002 1.665313623e+002 5.7e-010 4.53
73 9.6e-007 8.6e-003 5.8e-005 1.00e+000 1.665291313e+002 1.665312814e+002 5.1e-010 4.58
74 8.6e-007 8.6e-003 5.2e-005 1.00e+000 1.665292735e+002 1.665312086e+002 4.6e-010 4.63
75 7.8e-007 8.5e-003 4.7e-005 1.00e+000 1.665294014e+002 1.665311430e+002 4.1e-010 4.67
76 7.0e-007 8.5e-003 4.2e-005 1.00e+000 1.665295164e+002 1.665310838e+002 3.7e-010 4.72
77 6.3e-007 8.4e-003 3.8e-005 1.00e+000 1.665296198e+002 1.665310305e+002 3.3e-010 4.75
78 5.7e-007 8.4e-003 3.4e-005 1.00e+000 1.665297128e+002 1.665309825e+002 3.0e-010 4.80
79 5.1e-007 8.4e-003 3.1e-005 1.00e+000 1.665297965e+002 1.665309392e+002 2.7e-010 4.84
80 4.6e-007 8.3e-003 2.8e-005 1.00e+000 1.665298717e+002 1.665309001e+002 2.4e-010 4.88
81 4.1e-007 8.3e-003 2.5e-005 1.00e+000 1.665299393e+002 1.665308649e+002 2.2e-010 4.91
82 3.7e-007 8.3e-003 2.3e-005 1.00e+000 1.665300001e+002 1.665308332e+002 2.0e-010 4.95
83 3.3e-007 8.2e-003 2.0e-005 1.00e+000 1.665300548e+002 1.665308046e+002 1.8e-010 5.00
84 3.0e-007 8.2e-003 1.8e-005 1.00e+000 1.665301040e+002 1.665307788e+002 1.6e-010 5.03
85 2.7e-007 8.2e-003 1.6e-005 1.00e+000 1.665301483e+002 1.665307556e+002 1.4e-010 5.08
86 2.4e-007 8.2e-003 1.5e-005 1.00e+000 1.665301881e+002 1.665307346e+002 1.3e-010 5.11
87 2.2e-007 8.1e-003 1.3e-005 1.00e+000 1.665302239e+002 1.665307158e+002 1.2e-010 5.16
88 2.0e-007 8.1e-003 1.2e-005 1.00e+000 1.665302561e+002 1.665306988e+002 1.0e-010 5.19
89 1.8e-007 8.1e-003 1.1e-005 1.00e+000 1.665302850e+002 1.665306835e+002 9.4e-011 5.24
90 1.6e-007 8.1e-003 9.7e-006 1.00e+000 1.665303111e+002 1.665306697e+002 8.5e-011 5.27
91 1.4e-007 8.1e-003 8.7e-006 1.00e+000 1.665303346e+002 1.665306573e+002 7.6e-011 5.31
92 1.3e-007 8.0e-003 7.8e-006 1.00e+000 1.665303557e+002 1.665306462e+002 6.9e-011 5.34
93 1.2e-007 8.0e-003 7.1e-006 1.00e+000 1.665303747e+002 1.665306361e+002 6.2e-011 5.39
94 1.0e-007 8.0e-003 6.4e-006 1.00e+000 1.665303917e+002 1.665306270e+002 5.6e-011 5.42
95 9.4e-008 8.0e-003 5.7e-006 1.00e+000 1.665304071e+002 1.665306188e+002 5.0e-011 5.47
96 8.5e-008 8.0e-003 5.1e-006 1.00e+000 1.665304210e+002 1.665306115e+002 4.5e-011 5.52
97 7.6e-008 7.9e-003 4.6e-006 1.00e+000 1.665304334e+002 1.665306049e+002 4.1e-011 5.56
98 6.9e-008 7.9e-003 4.2e-006 1.00e+000 1.665304446e+002 1.665305989e+002 3.7e-011 5.59
99 6.2e-008 7.9e-003 3.8e-006 1.00e+000 1.665304547e+002 1.665305936e+002 3.3e-011 5.61
100 5.6e-008 7.9e-003 3.4e-006 1.00e+000 1.665304638e+002 1.665305888e+002 3.0e-011 5.64
101 5.0e-008 7.9e-003 3.0e-006 1.00e+000 1.665304719e+002 1.665305844e+002 2.7e-011 5.67
102 4.5e-008 7.9e-003 2.7e-006 1.00e+000 1.665304793e+002 1.665305805e+002 2.4e-011 5.70
103 4.1e-008 7.8e-003 2.5e-006 9.98e-001 1.665304859e+002 1.665305770e+002 2.2e-011 5.74
104 3.7e-008 7.8e-003 2.2e-006 1.00e+000 1.665304918e+002 1.665305739e+002 1.9e-011 5.77
105 3.3e-008 7.8e-003 2.0e-006 1.00e+000 1.665304972e+002 1.665305710e+002 1.7e-011 5.80
106 3.0e-008 7.8e-003 1.8e-006 1.00e+000 1.665305020e+002 1.665305685e+002 1.6e-011 5.83
107 2.7e-008 7.8e-003 1.6e-006 1.00e+000 1.665305064e+002 1.665305661e+002 1.4e-011 5.84
108 2.4e-008 7.8e-003 1.5e-006 9.99e-001 1.665305103e+002 1.665305641e+002 1.3e-011 5.88
109 2.2e-008 7.8e-003 1.3e-006 9.98e-001 1.665305138e+002 1.665305622e+002 1.1e-011 5.91
110 2.0e-008 7.7e-003 1.2e-006 9.92e-001 1.665305169e+002 1.665305606e+002 1.0e-011 5.94
111 1.8e-008 6.9e-003 1.1e-006 1.00e+000 1.665305198e+002 1.665305590e+002 9.3e-012 5.97
112 1.6e-008 6.2e-003 9.5e-007 9.97e-001 1.665305224e+002 1.665305577e+002 8.4e-012 6.02
113 1.4e-008 5.6e-003 8.6e-007 1.00e+000 1.665305247e+002 1.665305564e+002 7.5e-012 6.05
114 1.3e-008 5.5e-003 7.7e-007 9.62e-001 1.665305267e+002 1.665305556e+002 6.8e-012 6.08
115 1.2e-008 4.9e-003 7.0e-007 9.95e-001 1.665305286e+002 1.665305546e+002 6.1e-012 6.13
116 1.1e-008 4.4e-003 6.3e-007 9.98e-001 1.665305302e+002 1.665305537e+002 5.5e-012 6.16
117 9.7e-009 4.0e-003 5.6e-007 1.01e+000 1.665305318e+002 1.665305528e+002 5.0e-012 6.20
118 9.1e-009 3.9e-003 5.1e-007 9.94e-001 1.665305331e+002 1.665305523e+002 4.5e-012 6.24
119 8.2e-009 3.5e-003 4.6e-007 1.00e+000 1.665305343e+002 1.665305516e+002 4.0e-012 6.28
120 7.4e-009 3.2e-003 4.1e-007 9.96e-001 1.665305355e+002 1.665305510e+002 3.6e-012 6.31
121 1.0e-008 2.9e-003 3.7e-007 8.51e-001 1.665305363e+002 1.665305512e+002 3.3e-012 6.34
122 1.2e-008 2.6e-003 3.3e-007 7.86e-001 1.665305370e+002 1.665305523e+002 2.9e-012 6.39
123 1.4e-008 2.4e-003 3.0e-007 9.90e-001 1.665305378e+002 1.665305509e+002 2.6e-012 6.42
124 1.3e-008 2.1e-003 2.7e-007 1.01e+000 1.665305386e+002 1.665305504e+002 2.4e-012 6.47
125 1.1e-008 1.9e-003 2.4e-007 1.01e+000 1.665305393e+002 1.665305499e+002 2.1e-012 6.50
126 1.0e-008 1.7e-003 2.2e-007 9.94e-001 1.665305399e+002 1.665305494e+002 1.9e-012 6.53
127 9.2e-009 1.6e-003 2.0e-007 1.04e+000 1.665305405e+002 1.665305489e+002 1.8e-012 6.58
128 8.4e-009 1.4e-003 1.8e-007 1.04e+000 1.665305411e+002 1.665305485e+002 1.6e-012 6.61
129 1.0e-008 1.3e-003 1.6e-007 3.61e-001 1.665305415e+002 1.665305487e+002 1.5e-012 6.64
130 9.9e-009 1.1e-003 1.4e-007 1.00e+000 1.665305419e+002 1.665305482e+002 1.3e-012 6.67
131 8.9e-009 1.0e-003 1.3e-007 1.00e+000 1.665305422e+002 1.665305480e+002 1.2e-012 6.70
132 8.0e-009 9.2e-004 1.2e-007 1.00e+000 1.665305426e+002 1.665305477e+002 1.1e-012 6.77
133 7.2e-009 8.3e-004 1.0e-007 1.00e+000 1.665305428e+002 1.665305475e+002 9.6e-013 6.81
Interior-point optimizer terminated. Time: 6.81.
Optimizer terminated. Time: 7.16
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054285e+002 nrm: 2e+001 Viol. con: 1e-007 var: 0e+000
Dual. obj: 1.6653054746e+002 nrm: 1e+003 Viol. con: 0e+000 var: 7e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 7.19 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 476
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 : 879
Optimizer - Cones : 0
Optimizer - Scalar variables : 3468 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 : 0.02
Factor - nonzeros before factor : 1.49e+004 after factor : 1.56e+005
Factor - dense dim. : 0 flops : 3.19e+007
Factor - GP saved nzs : 3.36e+004 GP saved flops : 9.32e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.220287831e+005 2.000000000e+000 1.0e+000 0.06
1 1.6e+003 2.2e+003 8.8e+004 -9.71e-001 -1.212804453e+005 2.629579914e+000 7.2e-001 0.23
2 8.7e+002 1.1e+003 4.7e+004 -9.59e-001 -1.189878557e+005 4.652764181e+000 3.8e-001 0.28
3 2.9e+002 3.8e+002 1.5e+004 -9.21e-001 -1.100123262e+005 2.018690283e+001 1.3e-001 0.36
4 2.9e+002 3.8e+002 1.5e+004 -7.70e-001 -1.077700270e+005 1.983626756e+003 1.3e-001 0.44
5 1.2e+002 1.5e+002 6.2e+003 -7.60e-001 -8.616844249e+004 6.428786436e+003 5.2e-002 0.47
6 3.3e+001 4.4e+001 1.8e+003 -4.39e-001 -4.072666006e+004 1.177591581e+004 1.5e-002 0.56
7 2.1e+001 2.7e+001 1.1e+003 3.44e-001 -2.854882847e+004 7.506378011e+003 9.2e-003 0.59
8 1.0e+001 1.4e+001 5.6e+002 5.82e-001 -1.562600371e+004 4.166254187e+003 4.6e-003 0.69
9 3.9e+000 5.1e+000 2.1e+002 8.05e-001 -5.913610303e+003 1.942728726e+003 1.7e-003 0.73
10 2.1e+000 2.8e+000 1.1e+002 9.50e-001 -3.064273389e+003 1.240236517e+003 9.5e-004 0.77
11 9.3e-001 1.2e+000 5.1e+001 9.85e-001 -1.244472348e+003 6.708527765e+002 4.2e-004 0.81
12 8.5e-001 1.1e+000 4.6e+001 9.73e-001 -1.151746992e+003 6.210096578e+002 3.9e-004 0.86
13 5.4e-001 7.0e-001 2.9e+001 9.74e-001 -6.868213657e+002 4.432617961e+002 2.5e-004 0.91
14 3.5e-001 4.6e-001 1.9e+001 1.00e+000 -3.687268904e+002 3.602575976e+002 1.6e-004 0.94
15 1.3e-001 1.9e-001 7.4e+000 9.97e-001 -5.432401726e+001 2.285568838e+002 6.2e-005 0.97
16 8.2e-002 1.2e-001 4.5e+000 1.01e+000 2.833915583e+001 2.016833118e+002 3.9e-005 1.00
17 7.8e-002 1.2e-001 4.3e+000 1.02e+000 3.591731823e+001 2.000098869e+002 3.6e-005 1.03
18 3.9e-002 8.3e-002 2.1e+000 1.02e+000 1.040903136e+002 1.851956425e+002 1.8e-005 1.09
19 1.0e-002 1.7e-001 5.9e-001 1.01e+000 1.503719991e+002 1.725487918e+002 5.0e-006 1.16
20 2.8e-003 1.8e-001 1.6e-001 1.01e+000 1.619783912e+002 1.680828438e+002 1.4e-006 1.22
21 1.6e-003 1.2e-001 9.2e-002 1.00e+000 1.639924342e+002 1.674226079e+002 7.8e-007 1.28
22 4.7e-004 1.2e-001 2.9e-002 1.01e+000 1.657228839e+002 1.667908445e+002 2.5e-007 1.33
23 1.5e-004 1.2e-001 9.3e-003 1.01e+000 1.662379736e+002 1.665817964e+002 8.2e-008 1.38
24 1.3e-004 1.1e-001 8.3e-003 1.01e+000 1.662632765e+002 1.665725782e+002 7.4e-008 1.41
25 4.5e-005 1.1e-001 2.9e-003 1.01e+000 1.664026641e+002 1.665089691e+002 2.6e-008 1.47
26 1.5e-005 1.1e-001 9.8e-004 1.01e+000 1.664509765e+002 1.664868488e+002 8.8e-009 1.52
27 4.9e-006 1.1e-001 3.1e-004 1.00e+000 1.664678049e+002 1.664792893e+002 2.8e-009 1.56
28 1.6e-006 1.0e-001 1.0e-004 1.00e+000 1.664731510e+002 1.664768948e+002 9.2e-010 1.61
29 9.6e-007 7.9e-002 6.2e-005 1.00e+000 1.664741408e+002 1.664764295e+002 5.6e-010 1.66
30 8.7e-007 7.1e-002 5.6e-005 1.00e+000 1.664743065e+002 1.664763664e+002 5.1e-010 1.70
31 7.8e-007 6.5e-002 5.1e-005 1.00e+000 1.664744463e+002 1.664763001e+002 4.6e-010 1.73
32 7.0e-007 5.9e-002 4.5e-005 1.00e+000 1.664745719e+002 1.664762403e+002 4.1e-010 1.78
33 6.3e-007 5.4e-002 4.1e-005 1.00e+000 1.664746848e+002 1.664761863e+002 3.7e-010 1.83
34 5.7e-007 4.9e-002 3.7e-005 1.00e+000 1.664747865e+002 1.664761378e+002 3.3e-010 1.88
35 5.1e-007 4.5e-002 3.3e-005 1.00e+000 1.664748779e+002 1.664760941e+002 3.0e-010 1.92
36 4.6e-007 4.1e-002 3.0e-005 1.00e+000 1.664749601e+002 1.664760547e+002 2.7e-010 1.95
37 4.2e-007 3.8e-002 2.7e-005 1.00e+000 1.664750340e+002 1.664760192e+002 2.4e-010 2.05
38 3.7e-007 3.5e-002 2.4e-005 1.00e+000 1.664751006e+002 1.664759872e+002 2.2e-010 2.08
39 3.4e-007 3.2e-002 2.2e-005 1.00e+000 1.664751604e+002 1.664759584e+002 2.0e-010 2.14
40 3.0e-007 3.0e-002 2.0e-005 1.00e+000 1.664752143e+002 1.664759324e+002 1.8e-010 2.19
41 2.7e-007 2.8e-002 1.8e-005 1.00e+000 1.664752627e+002 1.664759090e+002 1.6e-010 2.27
42 2.5e-007 2.6e-002 1.6e-005 1.00e+000 1.664753063e+002 1.664758879e+002 1.4e-010 2.33
43 2.2e-007 2.4e-002 1.4e-005 1.00e+000 1.664753455e+002 1.664758690e+002 1.3e-010 2.36
44 2.0e-007 2.2e-002 1.3e-005 1.00e+000 1.664753808e+002 1.664758519e+002 1.2e-010 2.39
45 1.8e-007 2.1e-002 1.2e-005 1.00e+000 1.664754125e+002 1.664758365e+002 1.0e-010 2.44
46 1.6e-007 1.9e-002 1.0e-005 1.00e+000 1.664754411e+002 1.664758227e+002 9.4e-011 2.47
47 1.4e-007 1.8e-002 9.4e-006 1.00e+000 1.664754668e+002 1.664758102e+002 8.5e-011 2.53
48 1.3e-007 1.7e-002 8.4e-006 1.00e+000 1.664754899e+002 1.664757990e+002 7.6e-011 2.58
49 1.2e-007 1.6e-002 7.6e-006 1.00e+000 1.664755107e+002 1.664757889e+002 6.9e-011 2.61
50 1.1e-007 1.5e-002 6.8e-006 9.99e-001 1.664755295e+002 1.664757798e+002 6.2e-011 2.67
51 9.5e-008 1.5e-002 6.1e-006 1.00e+000 1.664755463e+002 1.664757716e+002 5.6e-011 2.77
52 8.5e-008 1.4e-002 5.5e-006 1.00e+000 1.664755615e+002 1.664757643e+002 5.0e-011 2.83
53 7.7e-008 1.3e-002 5.0e-006 1.00e+000 1.664755751e+002 1.664757576e+002 4.5e-011 2.88
54 6.9e-008 1.3e-002 4.5e-006 1.00e+000 1.664755874e+002 1.664757517e+002 4.1e-011 2.91
55 6.2e-008 1.2e-002 4.0e-006 1.00e+000 1.664755985e+002 1.664757463e+002 3.6e-011 2.94
56 5.6e-008 1.2e-002 3.6e-006 9.99e-001 1.664756084e+002 1.664757415e+002 3.3e-011 2.98
57 5.0e-008 1.1e-002 3.3e-006 1.00e+000 1.664756174e+002 1.664757371e+002 3.0e-011 3.02
58 4.6e-008 1.1e-002 2.9e-006 1.00e+000 1.664756253e+002 1.664757335e+002 2.7e-011 3.06
59 4.1e-008 1.0e-002 2.6e-006 9.98e-001 1.664756326e+002 1.664757299e+002 2.4e-011 3.13
60 3.7e-008 1.0e-002 2.4e-006 1.00e+000 1.664756391e+002 1.664757267e+002 2.2e-011 3.16
61 3.4e-008 9.9e-003 2.1e-006 1.00e+000 1.664756450e+002 1.664757238e+002 1.9e-011 3.22
62 3.0e-008 9.7e-003 1.9e-006 1.00e+000 1.664756503e+002 1.664757212e+002 1.7e-011 3.27
63 2.7e-008 9.5e-003 1.7e-006 1.00e+000 1.664756551e+002 1.664757189e+002 1.6e-011 3.30
64 2.4e-008 9.3e-003 1.6e-006 9.99e-001 1.664756593e+002 1.664757168e+002 1.4e-011 3.34
65 2.2e-008 9.2e-003 1.4e-006 1.01e+000 1.664756633e+002 1.664757149e+002 1.3e-011 3.38
66 2.0e-008 9.0e-003 1.3e-006 1.00e+000 1.664756667e+002 1.664757132e+002 1.1e-011 3.45
67 1.8e-008 8.8e-003 1.1e-006 9.97e-001 1.664756698e+002 1.664757117e+002 1.0e-011 3.48
68 1.6e-008 8.7e-003 1.0e-006 1.00e+000 1.664756727e+002 1.664757103e+002 9.3e-012 3.53
69 1.4e-008 8.5e-003 9.2e-007 9.92e-001 1.664756752e+002 1.664757091e+002 8.4e-012 3.59
70 1.3e-008 8.5e-003 8.3e-007 1.01e+000 1.664756775e+002 1.664757079e+002 7.6e-012 3.67
71 1.2e-008 8.4e-003 7.5e-007 9.97e-001 1.664756795e+002 1.664757069e+002 6.8e-012 3.70
72 1.1e-008 8.3e-003 6.7e-007 9.93e-001 1.664756814e+002 1.664757060e+002 6.1e-012 3.75
73 9.5e-009 8.3e-003 6.1e-007 1.01e+000 1.664756831e+002 1.664757052e+002 5.5e-012 3.80
74 8.6e-009 8.2e-003 5.4e-007 9.98e-001 1.664756846e+002 1.664757045e+002 5.0e-012 3.83
75 7.8e-009 7.4e-003 4.9e-007 1.01e+000 1.664756859e+002 1.664757038e+002 4.5e-012 3.88
76 3.9e-009 7.5e-004 5.0e-008 9.98e-001 1.664756967e+002 1.664756985e+002 4.6e-013 3.91
Interior-point optimizer terminated. Time: 3.92.
Optimizer terminated. Time: 3.94
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569669e+002 nrm: 2e+001 Viol. con: 1e-007 var: 0e+000
Dual. obj: 1.6647569852e+002 nrm: 1e+003 Viol. con: 0e+000 var: 5e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.95 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 476
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 : 879
Optimizer - Cones : 0
Optimizer - Scalar variables : 3468 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 : 1.49e+004 after factor : 1.56e+005
Factor - dense dim. : 0 flops : 3.19e+007
Factor - GP saved nzs : 3.36e+004 GP saved flops : 9.32e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.220270733e+005 2.000000000e+000 1.0e+000 0.06
1 1.6e+003 2.2e+003 8.8e+004 -9.71e-001 -1.212793354e+005 2.628393792e+000 7.2e-001 0.28
2 8.7e+002 1.1e+003 4.7e+004 -9.59e-001 -1.189895571e+005 4.647194608e+000 3.8e-001 0.34
3 2.9e+002 3.8e+002 1.5e+004 -9.21e-001 -1.099789387e+005 2.020538063e+001 1.3e-001 0.41
4 2.9e+002 3.7e+002 1.5e+004 -7.69e-001 -1.077449907e+005 1.979273077e+003 1.3e-001 0.47
5 1.2e+002 1.5e+002 6.2e+003 -7.60e-001 -8.611791656e+004 6.418698072e+003 5.2e-002 0.53
6 2.8e+001 3.6e+001 1.5e+003 -4.39e-001 -3.437697912e+004 1.247650801e+004 1.2e-002 0.58
7 1.8e+001 2.4e+001 9.8e+002 4.64e-001 -2.544653748e+004 7.400067856e+003 8.2e-003 0.61
8 1.0e+001 1.4e+001 5.5e+002 6.39e-001 -1.537452872e+004 4.404477936e+003 4.6e-003 0.64
9 4.2e+000 5.4e+000 2.2e+002 8.10e-001 -6.325486377e+003 2.038768414e+003 1.9e-003 0.69
10 2.1e+000 2.8e+000 1.1e+002 9.44e-001 -3.077969127e+003 1.240645150e+003 9.5e-004 0.73
11 9.3e-001 1.2e+000 5.0e+001 9.86e-001 -1.230742201e+003 6.816628271e+002 4.2e-004 0.77
12 8.6e-001 1.1e+000 4.6e+001 9.72e-001 -1.153283220e+003 6.335798391e+002 3.9e-004 0.81
13 5.4e-001 7.1e-001 3.0e+001 9.72e-001 -6.965009259e+002 4.514347839e+002 2.5e-004 0.84
14 3.6e-001 4.7e-001 1.9e+001 1.00e+000 -3.822196977e+002 3.663002512e+002 1.6e-004 0.89
15 1.2e-001 1.8e-001 6.5e+000 9.97e-001 -3.061869817e+001 2.190628691e+002 5.5e-005 0.92
16 8.6e-002 1.3e-001 4.8e+000 1.02e+000 2.352636946e+001 2.051605670e+002 4.0e-005 0.97
17 5.1e-002 8.1e-002 2.9e+000 1.02e+000 8.347064154e+001 1.917044886e+002 2.4e-005 1.00
18 1.3e-002 1.6e-001 7.5e-001 1.02e+000 1.456483747e+002 1.738141143e+002 6.3e-006 1.05
19 4.4e-003 2.0e-001 2.5e-001 1.01e+000 1.595580610e+002 1.689231649e+002 2.1e-006 1.09
20 2.0e-003 2.4e-001 1.2e-001 1.01e+000 1.632056560e+002 1.676306462e+002 1.0e-006 1.13
21 6.4e-004 1.4e-001 3.8e-002 1.01e+000 1.654426724e+002 1.668668807e+002 3.3e-007 1.17
22 3.0e-004 9.9e-002 1.8e-002 1.00e+000 1.659681288e+002 1.666485470e+002 1.6e-007 1.20
23 1.1e-004 9.7e-002 6.9e-003 1.01e+000 1.662660440e+002 1.665225126e+002 6.1e-008 1.25
24 4.3e-005 9.3e-002 2.7e-003 1.01e+000 1.663746666e+002 1.664740473e+002 2.4e-008 1.28
25 2.0e-005 8.1e-002 1.2e-003 1.01e+000 1.664115232e+002 1.664573397e+002 1.1e-008 1.31
26 1.8e-005 7.4e-002 1.1e-003 1.00e+000 1.664153299e+002 1.664565795e+002 9.9e-009 1.36
27 1.6e-005 6.7e-002 1.0e-003 1.01e+000 1.664180636e+002 1.664551785e+002 8.9e-009 1.44
28 1.4e-005 6.2e-002 9.1e-004 1.00e+000 1.664205759e+002 1.664539738e+002 8.0e-009 1.52
29 1.3e-005 5.6e-002 8.2e-004 1.00e+000 1.664228257e+002 1.664528790e+002 7.2e-009 1.56
30 1.2e-005 5.1e-002 7.3e-004 1.00e+000 1.664248486e+002 1.664518926e+002 6.5e-009 1.67
31 1.1e-005 4.7e-002 6.6e-004 1.00e+000 1.664266662e+002 1.664510026e+002 5.9e-009 1.72
32 9.5e-006 4.3e-002 5.9e-004 1.00e+000 1.664282999e+002 1.664502000e+002 5.3e-009 1.80
33 8.5e-006 4.0e-002 5.4e-004 1.00e+000 1.664297682e+002 1.664494761e+002 4.7e-009 1.84
34 7.7e-006 3.6e-002 4.8e-004 1.00e+000 1.664310880e+002 1.664488233e+002 4.3e-009 1.91
35 6.9e-006 3.4e-002 4.3e-004 1.00e+000 1.664322744e+002 1.664482347e+002 3.8e-009 2.00
36 6.2e-006 3.1e-002 3.9e-004 1.00e+000 1.664333410e+002 1.664477041e+002 3.5e-009 2.14
37 5.6e-006 2.9e-002 3.5e-004 1.00e+000 1.664342999e+002 1.664472257e+002 3.1e-009 2.17
38 5.0e-006 2.7e-002 3.2e-004 1.00e+000 1.664351621e+002 1.664467945e+002 2.8e-009 2.22
39 4.5e-006 2.5e-002 2.8e-004 1.00e+000 1.664359372e+002 1.664464058e+002 2.5e-009 2.25
40 4.1e-006 2.3e-002 2.6e-004 1.00e+000 1.664366343e+002 1.664460555e+002 2.3e-009 2.34
41 3.7e-006 2.1e-002 2.3e-004 1.00e+000 1.664372610e+002 1.664457396e+002 2.0e-009 2.38
42 3.3e-006 2.0e-002 2.1e-004 1.00e+000 1.664378245e+002 1.664454549e+002 1.8e-009 2.45
43 3.0e-006 1.9e-002 1.9e-004 1.00e+000 1.664383312e+002 1.664451983e+002 1.7e-009 2.48
44 2.7e-006 1.8e-002 1.7e-004 1.00e+000 1.664387869e+002 1.664449671e+002 1.5e-009 2.55
45 2.4e-006 1.7e-002 1.5e-004 1.00e+000 1.664391968e+002 1.664447588e+002 1.3e-009 2.59
46 2.2e-006 1.6e-002 1.4e-004 1.00e+000 1.664395654e+002 1.664445711e+002 1.2e-009 2.66
47 2.0e-006 1.5e-002 1.2e-004 1.00e+000 1.664398971e+002 1.664444020e+002 1.1e-009 2.70
48 1.8e-006 1.4e-002 1.1e-004 1.00e+000 1.664401954e+002 1.664442498e+002 9.8e-010 2.78
49 1.6e-006 1.4e-002 9.9e-005 1.00e+000 1.664404638e+002 1.664441126e+002 8.8e-010 2.84
50 1.4e-006 1.3e-002 8.9e-005 1.00e+000 1.664407052e+002 1.664439891e+002 7.9e-010 2.92
51 1.3e-006 1.3e-002 8.0e-005 1.00e+000 1.664409224e+002 1.664438779e+002 7.1e-010 3.00
52 1.2e-006 1.2e-002 7.2e-005 1.00e+000 1.664411179e+002 1.664437778e+002 6.4e-010 3.05
53 1.0e-006 1.2e-002 6.5e-005 1.00e+000 1.664412937e+002 1.664436876e+002 5.8e-010 3.09
54 9.3e-007 1.1e-002 5.9e-005 1.00e+000 1.664414518e+002 1.664436063e+002 5.2e-010 3.25
55 8.4e-007 1.1e-002 5.3e-005 1.00e+000 1.664415941e+002 1.664435332e+002 4.7e-010 3.33
56 7.6e-007 1.1e-002 4.7e-005 1.00e+000 1.664417222e+002 1.664434673e+002 4.2e-010 3.47
57 6.8e-007 1.0e-002 4.3e-005 1.00e+000 1.664418373e+002 1.664434079e+002 3.8e-010 3.52
58 6.1e-007 1.0e-002 3.8e-005 1.00e+000 1.664419409e+002 1.664433544e+002 3.4e-010 3.69
59 5.5e-007 9.8e-003 3.5e-005 1.00e+000 1.664420341e+002 1.664433063e+002 3.1e-010 3.78
60 5.0e-007 9.6e-003 3.1e-005 1.00e+000 1.664421180e+002 1.664432629e+002 2.8e-010 3.97
61 4.5e-007 9.4e-003 2.8e-005 1.00e+000 1.664421934e+002 1.664432238e+002 2.5e-010 4.08
62 4.0e-007 9.2e-003 2.5e-005 1.00e+000 1.664422612e+002 1.664431886e+002 2.2e-010 4.24
63 3.6e-007 9.1e-003 2.3e-005 1.00e+000 1.664423222e+002 1.664431569e+002 2.0e-010 4.28
64 3.3e-007 8.9e-003 2.0e-005 1.00e+000 1.664423772e+002 1.664431284e+002 1.8e-010 4.33
65 2.9e-007 8.8e-003 1.8e-005 1.00e+000 1.664424266e+002 1.664431027e+002 1.6e-010 4.39
66 2.6e-007 8.7e-003 1.7e-005 1.00e+000 1.664424710e+002 1.664430795e+002 1.5e-010 4.44
67 2.4e-007 8.6e-003 1.5e-005 1.00e+000 1.664425110e+002 1.664430587e+002 1.3e-010 4.47
68 2.1e-007 8.5e-003 1.3e-005 1.00e+000 1.664425470e+002 1.664430400e+002 1.2e-010 4.50
69 1.9e-007 8.4e-003 1.2e-005 1.00e+000 1.664425795e+002 1.664430231e+002 1.1e-010 4.56
70 1.7e-007 8.3e-003 1.1e-005 1.00e+000 1.664426086e+002 1.664430079e+002 9.6e-011 4.64
71 1.6e-007 8.3e-003 9.8e-006 1.00e+000 1.664426349e+002 1.664429942e+002 8.7e-011 4.69
72 1.4e-007 8.2e-003 8.8e-006 1.00e+000 1.664426585e+002 1.664429819e+002 7.8e-011 4.78
73 1.3e-007 8.2e-003 7.9e-006 1.00e+000 1.664426798e+002 1.664429708e+002 7.0e-011 4.84
74 1.1e-007 8.1e-003 7.1e-006 1.00e+000 1.664426989e+002 1.664429609e+002 6.3e-011 4.89
75 1.0e-007 8.1e-003 6.4e-006 1.00e+000 1.664427161e+002 1.664429519e+002 5.7e-011 4.92
76 9.2e-008 8.0e-003 5.8e-006 1.00e+000 1.664427316e+002 1.664429439e+002 5.1e-011 4.97
77 8.3e-008 8.0e-003 5.2e-006 9.99e-001 1.664427456e+002 1.664429366e+002 4.6e-011 5.00
78 7.4e-008 7.9e-003 4.7e-006 1.00e+000 1.664427582e+002 1.664429301e+002 4.2e-011 5.05
79 6.7e-008 7.9e-003 4.2e-006 1.00e+000 1.664427695e+002 1.664429242e+002 3.7e-011 5.09
80 6.0e-008 7.9e-003 3.8e-006 1.00e+000 1.664427796e+002 1.664429189e+002 3.4e-011 5.13
81 5.4e-008 7.8e-003 3.4e-006 1.00e+000 1.664427888e+002 1.664429141e+002 3.0e-011 5.16
82 4.9e-008 7.1e-003 3.1e-006 1.00e+000 1.664427972e+002 1.664429093e+002 2.7e-011 5.19
83 4.4e-008 6.4e-003 2.8e-006 1.00e+000 1.664428046e+002 1.664429055e+002 2.5e-011 5.24
84 4.0e-008 5.7e-003 2.5e-006 1.00e+000 1.664428112e+002 1.664429021e+002 2.2e-011 5.28
85 3.6e-008 5.1e-003 2.2e-006 9.99e-001 1.664428172e+002 1.664428990e+002 2.0e-011 5.36
86 3.2e-008 4.6e-003 2.0e-006 9.99e-001 1.664428226e+002 1.664428962e+002 1.8e-011 5.44
87 2.9e-008 4.2e-003 1.8e-006 9.99e-001 1.664428275e+002 1.664428937e+002 1.6e-011 5.52
88 2.6e-008 3.8e-003 1.6e-006 1.00e+000 1.664428319e+002 1.664428915e+002 1.4e-011 5.59
89 2.3e-008 3.4e-003 1.5e-006 1.00e+000 1.664428358e+002 1.664428894e+002 1.3e-011 5.67
90 2.1e-008 3.0e-003 1.3e-006 1.00e+000 1.664428393e+002 1.664428876e+002 1.2e-011 5.74
91 1.9e-008 2.7e-003 1.2e-006 1.01e+000 1.664428426e+002 1.664428859e+002 1.1e-011 5.81
92 1.7e-008 2.5e-003 1.1e-006 9.98e-001 1.664428455e+002 1.664428845e+002 9.5e-012 5.84
93 1.5e-008 2.2e-003 9.6e-007 9.95e-001 1.664428481e+002 1.664428831e+002 8.6e-012 5.88
94 1.4e-008 2.0e-003 8.7e-007 9.96e-001 1.664428504e+002 1.664428820e+002 7.7e-012 5.92
95 1.2e-008 1.8e-003 7.8e-007 1.01e+000 1.664428525e+002 1.664428808e+002 7.0e-012 5.97
96 1.1e-008 1.6e-003 7.0e-007 9.95e-001 1.664428544e+002 1.664428799e+002 6.3e-012 6.02
97 1.1e-008 1.5e-003 6.3e-007 1.02e+000 1.664428563e+002 1.664428786e+002 5.7e-012 6.09
98 9.9e-009 1.3e-003 5.7e-007 9.85e-001 1.664428578e+002 1.664428779e+002 5.1e-012 6.19
99 8.9e-009 1.2e-003 5.1e-007 1.00e+000 1.664428591e+002 1.664428773e+002 4.6e-012 6.28
100 8.4e-009 1.1e-003 4.6e-007 1.03e+000 1.664428606e+002 1.664428762e+002 4.2e-012 6.33
101 8.2e-009 9.5e-004 4.1e-007 1.07e+000 1.664428621e+002 1.664428754e+002 3.9e-012 6.41
102 8.4e-009 8.6e-004 3.7e-007 7.04e-001 1.664428627e+002 1.664428759e+002 3.5e-012 6.47
103 3.3e-008 7.9e-004 3.4e-007 1.01e+000 1.664428636e+002 1.664428747e+002 3.2e-012 6.52
104 2.2e-008 7.1e-004 3.1e-007 9.99e-001 1.664428643e+002 1.664428743e+002 2.9e-012 6.56
105 2.0e-008 6.4e-004 2.8e-007 9.17e-001 1.664428650e+002 1.664428740e+002 2.6e-012 6.63
106 1.8e-008 5.7e-004 2.5e-007 9.47e-001 1.664428656e+002 1.664428737e+002 2.3e-012 6.67
107 1.9e-008 5.2e-004 2.2e-007 9.75e-001 1.664428662e+002 1.664428734e+002 2.1e-012 6.74
108 1.7e-008 4.7e-004 2.0e-007 9.85e-001 1.664428667e+002 1.664428732e+002 1.9e-012 6.81
109 1.6e-008 4.2e-004 1.8e-007 9.93e-001 1.664428672e+002 1.664428730e+002 1.7e-012 6.86
110 1.4e-008 3.8e-004 1.6e-007 1.03e+000 1.664428677e+002 1.664428726e+002 1.5e-012 6.91
111 1.4e-008 3.4e-004 1.5e-007 9.47e-001 1.664428681e+002 1.664428724e+002 1.4e-012 6.95
112 1.3e-008 3.1e-004 1.3e-007 1.05e+000 1.664428684e+002 1.664428723e+002 1.3e-012 7.00
113 1.1e-008 2.7e-004 1.2e-007 9.73e-001 1.664428687e+002 1.664428722e+002 1.1e-012 7.03
114 6.7e-009 2.5e-004 1.1e-007 1.04e+000 1.664428690e+002 1.664428720e+002 1.0e-012 7.08
115 9.6e-009 2.2e-004 9.7e-008 1.15e+000 1.664428694e+002 1.664428719e+002 1.0e-012 7.13
116 7.8e-009 2.0e-004 8.1e-008 1.00e+000 1.664428697e+002 1.664428718e+002 9.0e-013 7.17
Interior-point optimizer terminated. Time: 7.17.
Optimizer terminated. Time: 7.20
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286973e+002 nrm: 2e+001 Viol. con: 8e-008 var: 0e+000
Dual. obj: 1.6644287180e+002 nrm: 1e+003 Viol. con: 0e+000 var: 1e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 7.24 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 476
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 : 879
Optimizer - Cones : 0
Optimizer - Scalar variables : 3468 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 : 1.49e+004 after factor : 1.56e+005
Factor - dense dim. : 0 flops : 3.19e+007
Factor - GP saved nzs : 3.36e+004 GP saved flops : 9.32e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.220263690e+005 2.000000000e+000 1.0e+000 0.09
1 1.6e+003 2.2e+003 8.8e+004 -9.71e-001 -1.212786905e+005 2.628120910e+000 7.2e-001 0.28
2 8.7e+002 1.1e+003 4.7e+004 -9.59e-001 -1.189892681e+005 4.645753713e+000 3.8e-001 0.55
3 2.9e+002 3.8e+002 1.5e+004 -9.21e-001 -1.099582547e+005 2.021603173e+001 1.3e-001 0.61
4 2.9e+002 3.7e+002 1.5e+004 -7.69e-001 -1.077212845e+005 1.983549936e+003 1.3e-001 0.67
5 1.2e+002 1.5e+002 6.2e+003 -7.59e-001 -8.610952219e+004 6.401030424e+003 5.2e-002 0.73
6 2.6e+001 3.4e+001 1.4e+003 -4.39e-001 -3.238242033e+004 1.269204589e+004 1.2e-002 0.80
7 1.7e+001 2.3e+001 9.3e+002 5.02e-001 -2.413486226e+004 7.205140953e+003 7.7e-003 0.86
8 1.0e+001 1.3e+001 5.5e+002 6.62e-001 -1.518078103e+004 4.456725145e+003 4.6e-003 0.92
9 4.2e+000 5.5e+000 2.3e+002 8.12e-001 -6.375996223e+003 2.062469138e+003 1.9e-003 0.98
10 2.1e+000 2.8e+000 1.1e+002 9.43e-001 -3.115975772e+003 1.241858415e+003 9.6e-004 1.05
11 9.1e-001 1.2e+000 4.9e+001 9.85e-001 -1.208249995e+003 6.741154354e+002 4.1e-004 1.11
12 8.5e-001 1.1e+000 4.6e+001 9.69e-001 -1.150162060e+003 6.321691036e+002 3.9e-004 1.28
13 5.4e-001 7.1e-001 3.0e+001 9.71e-001 -6.976786326e+002 4.511655221e+002 2.5e-004 1.33
14 3.6e-001 4.7e-001 2.0e+001 1.00e+000 -3.858230161e+002 3.680947564e+002 1.6e-004 1.39
15 1.2e-001 1.8e-001 6.4e+000 9.96e-001 -2.926804081e+001 2.190653549e+002 5.5e-005 1.42
16 8.5e-002 1.3e-001 4.7e+000 1.02e+000 2.378152010e+001 2.055262277e+002 4.0e-005 1.47
17 4.9e-002 8.0e-002 2.8e+000 1.02e+000 8.633603476e+001 1.908092986e+002 2.3e-005 1.50
18 1.6e-002 8.8e-002 9.0e-001 1.02e+000 1.411982671e+002 1.750646654e+002 7.6e-006 1.53
19 8.4e-003 7.4e-002 4.7e-001 1.01e+000 1.528399349e+002 1.706046143e+002 4.0e-006 1.55
20 1.9e-003 1.8e-001 1.1e-001 1.01e+000 1.634945375e+002 1.676339721e+002 9.3e-007 1.56
21 1.2e-003 1.2e-001 7.2e-002 9.77e-001 1.645169743e+002 1.672028657e+002 6.1e-007 1.59
22 4.7e-004 1.1e-001 2.9e-002 9.86e-001 1.656687502e+002 1.667609534e+002 2.5e-007 1.61
23 2.4e-004 8.5e-002 1.5e-002 1.00e+000 1.660373190e+002 1.665978276e+002 1.3e-007 1.64
24 1.2e-004 7.3e-002 7.5e-003 1.01e+000 1.662307213e+002 1.665107342e+002 6.5e-008 1.67
25 1.1e-004 6.9e-002 6.8e-003 1.01e+000 1.662521338e+002 1.665042973e+002 5.8e-008 1.69
26 9.8e-005 6.2e-002 6.1e-003 1.01e+000 1.662690094e+002 1.664958433e+002 5.3e-008 1.72
27 8.8e-005 5.7e-002 5.5e-003 1.01e+000 1.662846698e+002 1.664887734e+002 4.7e-008 1.74
28 7.9e-005 5.2e-002 4.9e-003 1.01e+000 1.662986740e+002 1.664823185e+002 4.3e-008 1.77
29 7.1e-005 4.7e-002 4.4e-003 1.01e+000 1.663112479e+002 1.664764884e+002 3.8e-008 1.81
30 6.4e-005 4.3e-002 4.0e-003 1.01e+000 1.663225287e+002 1.664712122e+002 3.5e-008 1.86
31 5.8e-005 4.0e-002 3.6e-003 1.01e+000 1.663326528e+002 1.664664410e+002 3.1e-008 1.89
32 5.2e-005 3.7e-002 3.2e-003 1.01e+000 1.663417397e+002 1.664621269e+002 2.8e-008 1.91
33 4.7e-005 3.4e-002 2.9e-003 1.01e+000 1.663498965e+002 1.664582271e+002 2.5e-008 1.94
34 4.2e-005 3.1e-002 2.6e-003 1.00e+000 1.663572194e+002 1.664547024e+002 2.3e-008 1.97
35 3.8e-005 2.9e-002 2.4e-003 1.00e+000 1.663637943e+002 1.664515173e+002 2.0e-008 2.00
36 3.4e-005 2.7e-002 2.1e-003 1.00e+000 1.663696984e+002 1.664486397e+002 1.8e-008 2.03
37 3.1e-005 2.5e-002 1.9e-003 1.00e+000 1.663750005e+002 1.664460402e+002 1.7e-008 2.06
38 2.8e-005 2.3e-002 1.7e-003 1.00e+000 1.663797626e+002 1.664436923e+002 1.5e-008 2.16
39 2.5e-005 2.2e-002 1.6e-003 1.00e+000 1.663840401e+002 1.664415720e+002 1.3e-008 2.30
40 2.2e-005 2.0e-002 1.4e-003 1.00e+000 1.663878825e+002 1.664396575e+002 1.2e-008 2.33
41 2.0e-005 1.9e-002 1.3e-003 1.00e+000 1.663913344e+002 1.664379290e+002 1.1e-008 2.39
42 1.8e-005 1.8e-002 1.1e-003 1.00e+000 1.663944357e+002 1.664363685e+002 9.8e-009 2.42
43 1.6e-005 1.7e-002 1.0e-003 1.00e+000 1.663972222e+002 1.664349600e+002 8.8e-009 2.45
44 1.5e-005 1.6e-002 9.2e-004 1.00e+000 1.663997261e+002 1.664336888e+002 7.9e-009 2.48
45 1.3e-005 1.5e-002 8.2e-004 1.00e+000 1.664019762e+002 1.664325417e+002 7.1e-009 2.52
46 1.2e-005 1.5e-002 7.4e-004 1.00e+000 1.664039984e+002 1.664315066e+002 6.4e-009 2.58
47 1.1e-005 1.4e-002 6.7e-004 1.00e+000 1.664058159e+002 1.664305727e+002 5.8e-009 2.63
48 9.6e-006 1.3e-002 6.0e-004 1.00e+000 1.664074495e+002 1.664297302e+002 5.2e-009 2.66
49 8.6e-006 1.3e-002 5.4e-004 1.00e+000 1.664089180e+002 1.664289704e+002 4.7e-009 2.69
50 7.8e-006 1.2e-002 4.9e-004 1.00e+000 1.664102381e+002 1.664282851e+002 4.2e-009 2.72
51 7.0e-006 1.2e-002 4.4e-004 1.00e+000 1.664114249e+002 1.664276671e+002 3.8e-009 2.75
52 6.3e-006 1.2e-002 3.9e-004 1.00e+000 1.664124920e+002 1.664271099e+002 3.4e-009 2.81
53 5.7e-006 1.1e-002 3.5e-004 1.00e+000 1.664134514e+002 1.664266076e+002 3.1e-009 2.88
54 5.1e-006 1.1e-002 3.2e-004 1.00e+000 1.664143142e+002 1.664261548e+002 2.8e-009 2.94
55 4.6e-006 1.1e-002 2.9e-004 1.00e+000 1.664150899e+002 1.664257466e+002 2.5e-009 3.00
56 4.1e-006 1.0e-002 2.6e-004 1.00e+000 1.664157876e+002 1.664253786e+002 2.2e-009 3.06
57 3.7e-006 1.0e-002 2.3e-004 1.00e+000 1.664164149e+002 1.664250469e+002 2.0e-009 3.14
58 3.3e-006 1.0e-002 2.1e-004 1.00e+000 1.664169790e+002 1.664247479e+002 1.8e-009 3.20
59 3.0e-006 9.8e-003 1.9e-004 1.00e+000 1.664174864e+002 1.664244785e+002 1.6e-009 3.28
60 2.7e-006 9.7e-003 1.7e-004 1.00e+000 1.664179427e+002 1.664242357e+002 1.5e-009 3.48
61 2.4e-006 9.5e-003 1.5e-004 1.00e+000 1.664183531e+002 1.664240169e+002 1.3e-009 3.55
62 2.2e-006 9.4e-003 1.4e-004 1.00e+000 1.664187224e+002 1.664238198e+002 1.2e-009 3.61
63 2.0e-006 9.2e-003 1.2e-004 1.00e+000 1.664190545e+002 1.664236423e+002 1.1e-009 3.66
64 1.8e-006 9.1e-003 1.1e-004 1.00e+000 1.664193534e+002 1.664234824e+002 9.6e-010 3.75
65 1.6e-006 9.0e-003 1.0e-004 1.00e+000 1.664196222e+002 1.664233384e+002 8.7e-010 3.78
66 1.4e-006 8.9e-003 9.0e-005 1.00e+000 1.664198641e+002 1.664232087e+002 7.8e-010 3.81
67 1.3e-006 8.8e-003 8.1e-005 1.00e+000 1.664200818e+002 1.664230919e+002 7.0e-010 3.84
68 1.2e-006 8.7e-003 7.3e-005 1.00e+000 1.664202776e+002 1.664229868e+002 6.3e-010 3.89
69 1.1e-006 8.7e-003 6.6e-005 1.00e+000 1.664204537e+002 1.664228920e+002 5.7e-010 3.92
70 9.5e-007 8.6e-003 5.9e-005 1.00e+000 1.664206122e+002 1.664228067e+002 5.1e-010 3.95
71 8.5e-007 8.5e-003 5.3e-005 1.00e+000 1.664207548e+002 1.664227299e+002 4.6e-010 3.98
72 7.7e-007 8.5e-003 4.8e-005 1.00e+000 1.664208831e+002 1.664226607e+002 4.1e-010 4.03
73 6.9e-007 8.4e-003 4.3e-005 1.00e+000 1.664209985e+002 1.664225984e+002 3.7e-010 4.06
74 6.2e-007 8.3e-003 3.9e-005 1.00e+000 1.664211023e+002 1.664225422e+002 3.4e-010 4.09
75 5.6e-007 8.3e-003 3.5e-005 1.00e+000 1.664211957e+002 1.664224917e+002 3.0e-010 4.13
76 5.0e-007 8.2e-003 3.1e-005 1.00e+000 1.664212797e+002 1.664224461e+002 2.7e-010 4.16
77 4.5e-007 8.2e-003 2.8e-005 1.00e+000 1.664213553e+002 1.664224050e+002 2.5e-010 4.19
78 4.1e-007 8.2e-003 2.5e-005 1.00e+000 1.664214233e+002 1.664223681e+002 2.2e-010 4.22
79 3.7e-007 8.1e-003 2.3e-005 1.00e+000 1.664214844e+002 1.664223348e+002 2.0e-010 4.25
80 3.3e-007 8.1e-003 2.1e-005 1.00e+000 1.664215395e+002 1.664223048e+002 1.8e-010 4.28
81 3.0e-007 8.1e-003 1.9e-005 1.00e+000 1.664215890e+002 1.664222777e+002 1.6e-010 4.31
82 2.7e-007 8.0e-003 1.7e-005 1.00e+000 1.664216335e+002 1.664222534e+002 1.4e-010 4.36
83 2.4e-007 8.0e-003 1.5e-005 1.00e+000 1.664216736e+002 1.664222315e+002 1.3e-010 4.39
84 2.2e-007 8.0e-003 1.4e-005 1.00e+000 1.664217096e+002 1.664222118e+002 1.2e-010 4.42
85 1.9e-007 7.9e-003 1.2e-005 1.00e+000 1.664217421e+002 1.664221940e+002 1.1e-010 4.45
86 1.8e-007 7.9e-003 1.1e-005 1.00e+000 1.664217713e+002 1.664221780e+002 9.5e-011 4.49
87 1.6e-007 7.9e-003 9.9e-006 1.00e+000 1.664217976e+002 1.664221636e+002 8.5e-011 4.52
88 1.4e-007 7.9e-003 8.9e-006 1.00e+000 1.664218212e+002 1.664221507e+002 7.7e-011 4.55
89 1.3e-007 7.9e-003 8.0e-006 1.00e+000 1.664218425e+002 1.664221390e+002 6.9e-011 4.58
90 1.2e-007 7.8e-003 7.2e-006 1.00e+000 1.664218617e+002 1.664221285e+002 6.2e-011 4.61
91 1.0e-007 7.8e-003 6.5e-006 1.00e+000 1.664218789e+002 1.664221191e+002 5.6e-011 4.64
92 9.3e-008 7.8e-003 5.8e-006 1.00e+000 1.664218944e+002 1.664221106e+002 5.0e-011 4.67
93 8.4e-008 7.8e-003 5.3e-006 1.00e+000 1.664219084e+002 1.664221029e+002 4.5e-011 4.70
94 7.5e-008 7.8e-003 4.7e-006 1.00e+000 1.664219209e+002 1.664220960e+002 4.1e-011 4.74
95 6.8e-008 7.8e-003 4.3e-006 1.00e+000 1.664219322e+002 1.664220898e+002 3.7e-011 4.77
96 6.1e-008 7.0e-003 3.8e-006 1.00e+000 1.664219424e+002 1.664220841e+002 3.3e-011 4.80
97 5.5e-008 6.3e-003 3.4e-006 9.99e-001 1.664219516e+002 1.664220791e+002 3.0e-011 4.83
98 5.0e-008 5.7e-003 3.1e-006 9.99e-001 1.664219598e+002 1.664220746e+002 2.7e-011 4.86
99 4.5e-008 5.1e-003 2.8e-006 1.00e+000 1.664219672e+002 1.664220705e+002 2.4e-011 4.89
100 4.0e-008 4.6e-003 2.5e-006 1.00e+000 1.664219739e+002 1.664220668e+002 2.2e-011 4.92
101 3.6e-008 4.1e-003 2.3e-006 9.98e-001 1.664219799e+002 1.664220636e+002 2.0e-011 4.95
102 3.2e-008 3.7e-003 2.0e-006 1.00e+000 1.664219854e+002 1.664220606e+002 1.8e-011 5.00
103 2.9e-008 3.3e-003 1.8e-006 1.00e+000 1.664219902e+002 1.664220579e+002 1.6e-011 5.05
104 2.6e-008 3.0e-003 1.6e-006 1.00e+000 1.664219946e+002 1.664220555e+002 1.4e-011 5.08
105 2.4e-008 2.7e-003 1.5e-006 1.00e+000 1.664219985e+002 1.664220533e+002 1.3e-011 5.11
106 2.1e-008 2.4e-003 1.3e-006 1.00e+000 1.664220021e+002 1.664220514e+002 1.2e-011 5.17
107 1.9e-008 2.2e-003 1.2e-006 1.00e+000 1.664220053e+002 1.664220497e+002 1.0e-011 5.24
108 1.7e-008 2.0e-003 1.1e-006 1.01e+000 1.664220082e+002 1.664220480e+002 9.4e-012 5.36
109 1.6e-008 1.8e-003 9.7e-007 1.00e+000 1.664220108e+002 1.664220466e+002 8.5e-012 5.44
110 1.4e-008 1.6e-003 8.8e-007 1.00e+000 1.664220131e+002 1.664220453e+002 7.6e-012 5.49
111 1.3e-008 1.4e-003 7.9e-007 9.97e-001 1.664220152e+002 1.664220442e+002 6.9e-012 5.53
112 1.1e-008 1.3e-003 7.1e-007 1.00e+000 1.664220171e+002 1.664220432e+002 6.2e-012 5.58
113 1.0e-008 1.2e-003 6.4e-007 1.01e+000 1.664220188e+002 1.664220422e+002 5.6e-012 5.64
114 9.3e-009 1.0e-003 5.7e-007 1.00e+000 1.664220203e+002 1.664220414e+002 5.0e-012 5.84
115 8.4e-009 9.4e-004 5.2e-007 1.00e+000 1.664220217e+002 1.664220406e+002 4.5e-012 5.88
116 7.6e-009 8.5e-004 4.7e-007 9.96e-001 1.664220229e+002 1.664220400e+002 4.1e-012 5.97
117 6.8e-009 7.6e-004 4.2e-007 9.95e-001 1.664220240e+002 1.664220394e+002 3.6e-012 6.02
118 6.1e-009 6.9e-004 3.8e-007 1.00e+000 1.664220250e+002 1.664220388e+002 3.3e-012 6.24
119 5.5e-009 6.2e-004 3.4e-007 1.00e+000 1.664220259e+002 1.664220383e+002 3.0e-012 6.31
120 5.0e-009 5.6e-004 3.1e-007 9.94e-001 1.664220267e+002 1.664220379e+002 2.7e-012 6.44
121 4.5e-009 5.0e-004 2.7e-007 9.95e-001 1.664220274e+002 1.664220375e+002 2.4e-012 6.52
122 3.6e-008 4.5e-004 2.5e-007 1.39e+000 1.664220294e+002 1.664220346e+002 1.6e-012 6.58
123 1.0e-007 4.1e-004 6.0e-007 1.00e+000 1.664220219e+002 1.664220345e+002 1.5e-012 6.63
124 5.7e-009 2.2e-005 3.3e-008 1.00e+000 1.664220333e+002 1.664220340e+002 8.2e-014 6.69
Interior-point optimizer terminated. Time: 6.69.
Optimizer terminated. Time: 6.72
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203328e+002 nrm: 2e+001 Viol. con: 6e-008 var: 0e+000
Dual. obj: 1.6642203397e+002 nrm: 1e+003 Viol. con: 0e+000 var: 9e-005
* End solution on dual form. *
Transforming to primal solution.
Solving took 6.74 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 476
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: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 6
Optimizer - solved problem : the primal
Optimizer - Constraints : 879
Optimizer - Cones : 0
Optimizer - Scalar variables : 3468 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 : 1.49e+004 after factor : 1.56e+005
Factor - dense dim. : 0 flops : 3.19e+007
Factor - GP saved nzs : 3.36e+004 GP saved flops : 9.32e+005
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.2e+005 0.00e+000 -1.220254200e+005 2.000000000e+000 1.0e+000 0.06
1 1.6e+003 2.2e+003 8.8e+004 -9.71e-001 -1.212775954e+005 2.628208468e+000 7.2e-001 0.36
2 8.7e+002 1.1e+003 4.7e+004 -9.59e-001 -1.189881369e+005 4.645529068e+000 3.8e-001 0.48
3 2.9e+002 3.7e+002 1.5e+004 -9.21e-001 -1.099431096e+005 2.022243284e+001 1.3e-001 0.59
4 2.9e+002 3.7e+002 1.5e+004 -7.69e-001 -1.077023324e+005 1.987821512e+003 1.3e-001 0.67
5 1.2e+002 1.5e+002 6.2e+003 -7.59e-001 -8.608363743e+004 6.392674833e+003 5.2e-002 0.80
6 2.6e+001 3.4e+001 1.4e+003 -4.38e-001 -3.230057445e+004 1.269070316e+004 1.2e-002 0.81
7 1.7e+001 2.2e+001 9.2e+002 5.03e-001 -2.391317188e+004 7.103682964e+003 7.6e-003 0.84
8 1.0e+001 1.3e+001 5.5e+002 6.65e-001 -1.518910887e+004 4.442851930e+003 4.6e-003 0.91
9 4.2e+000 5.5e+000 2.3e+002 8.12e-001 -6.381500479e+003 2.059687385e+003 1.9e-003 0.95
10 2.1e+000 2.8e+000 1.2e+002 9.42e-001 -3.142629525e+003 1.239397170e+003 9.6e-004 1.03
11 9.0e-001 1.2e+000 4.9e+001 9.84e-001 -1.201940273e+003 6.713731753e+002 4.1e-004 1.11
12 8.5e-001 1.1e+000 4.6e+001 9.67e-001 -1.153706889e+003 6.326036714e+002 3.9e-004 1.16
13 5.4e-001 7.0e-001 2.9e+001 9.70e-001 -6.977190242e+002 4.500628287e+002 2.5e-004 1.23
14 3.6e-001 4.8e-001 2.0e+001 1.00e+000 -3.888586631e+002 3.695120389e+002 1.6e-004 1.26
15 1.2e-001 1.8e-001 6.4e+000 9.95e-001 -2.890951253e+001 2.190910703e+002 5.4e-005 1.30
16 8.4e-002 1.3e-001 4.7e+000 1.02e+000 2.495931003e+001 2.049731924e+002 4.0e-005 1.33
17 4.8e-002 7.8e-002 2.7e+000 1.02e+000 8.792638052e+001 1.904284456e+002 2.3e-005 1.38
18 1.3e-002 1.7e-001 7.1e-001 1.02e+000 1.467159657e+002 1.735332843e+002 6.0e-006 1.45
19 4.0e-003 2.0e-001 2.3e-001 1.01e+000 1.600320925e+002 1.686321469e+002 2.0e-006 1.51
20 1.6e-003 1.1e-001 9.2e-002 1.01e+000 1.639207760e+002 1.673586195e+002 7.9e-007 1.59
21 5.8e-004 1.0e-001 3.5e-002 1.01e+000 1.654903966e+002 1.667788372e+002 3.0e-007 1.66
22 2.4e-004 9.1e-002 1.5e-002 1.01e+000 1.660278428e+002 1.665714313e+002 1.3e-007 1.72
23 9.4e-005 9.2e-002 5.8e-003 1.01e+000 1.662609101e+002 1.664748223e+002 5.1e-008 1.78
24 4.7e-005 7.9e-002 2.9e-003 1.01e+000 1.663348004e+002 1.664416506e+002 2.6e-008 1.84
25 4.2e-005 7.2e-002 2.6e-003 1.01e+000 1.663434023e+002 1.664396001e+002 2.3e-008 1.91
26 3.8e-005 6.6e-002 2.3e-003 1.01e+000 1.663498696e+002 1.664364169e+002 2.1e-008 1.98
27 3.4e-005 6.0e-002 2.1e-003 1.01e+000 1.663557886e+002 1.664336623e+002 1.9e-008 2.03
28 3.1e-005 5.5e-002 1.9e-003 1.01e+000 1.663610865e+002 1.664311563e+002 1.7e-008 2.11
29 2.8e-005 5.0e-002 1.7e-003 1.01e+000 1.663658463e+002 1.664288957e+002 1.5e-008 2.17
30 2.5e-005 4.6e-002 1.5e-003 1.01e+000 1.663701206e+002 1.664268542e+002 1.4e-008 2.23
31 2.2e-005 4.2e-002 1.4e-003 1.00e+000 1.663739598e+002 1.664250111e+002 1.2e-008 2.31
32 2.0e-005 3.9e-002 1.2e-003 1.00e+000 1.663774085e+002 1.664233474e+002 1.1e-008 2.38
33 1.8e-005 3.6e-002 1.1e-003 1.00e+000 1.663805067e+002 1.664218458e+002 9.9e-009 2.44
34 1.6e-005 3.3e-002 1.0e-003 1.00e+000 1.663832903e+002 1.664204907e+002 8.9e-009 2.47
35 1.5e-005 3.0e-002 9.1e-004 1.00e+000 1.663857914e+002 1.664192678e+002 8.0e-009 2.50
36 1.3e-005 2.8e-002 8.2e-004 1.00e+000 1.663880390e+002 1.664181646e+002 7.2e-009 2.56
37 1.2e-005 2.6e-002 7.4e-004 1.00e+000 1.663900588e+002 1.664171693e+002 6.5e-009 2.61
38 1.1e-005 2.4e-002 6.6e-004 1.00e+000 1.663918741e+002 1.664162715e+002 5.9e-009 2.70
39 9.6e-006 2.3e-002 6.0e-004 1.00e+000 1.663935058e+002 1.664154618e+002 5.3e-009 2.77
40 8.6e-006 2.1e-002 5.4e-004 1.00e+000 1.663949726e+002 1.664147316e+002 4.8e-009 2.81
41 7.8e-006 2.0e-002 4.8e-004 1.00e+000 1.663962911e+002 1.664140731e+002 4.3e-009 2.95
42 7.0e-006 1.9e-002 4.4e-004 1.00e+000 1.663974766e+002 1.664134795e+002 3.9e-009 3.03
43 6.3e-006 1.8e-002 3.9e-004 1.00e+000 1.663985424e+002 1.664129444e+002 3.5e-009 3.09
44 5.7e-006 1.7e-002 3.5e-004 1.00e+000 1.663995008e+002 1.664124620e+002 3.1e-009 3.16
45 5.1e-006 1.6e-002 3.2e-004 1.00e+000 1.664003626e+002 1.664120272e+002 2.8e-009 3.22
46 4.6e-006 1.5e-002 2.9e-004 1.00e+000 1.664011375e+002 1.664116353e+002 2.5e-009 3.25
47 4.1e-006 1.4e-002 2.6e-004 1.00e+000 1.664018343e+002 1.664112821e+002 2.3e-009 3.34
48 3.7e-006 1.4e-002 2.3e-004 1.00e+000 1.664024609e+002 1.664109637e+002 2.0e-009 3.41
49 3.3e-006 1.3e-002 2.1e-004 1.00e+000 1.664030244e+002 1.664106767e+002 1.8e-009 3.50
50 3.0e-006 1.3e-002 1.9e-004 1.00e+000 1.664035312e+002 1.664104181e+002 1.7e-009 3.56
51 2.7e-006 1.2e-002 1.7e-004 1.00e+000 1.664039869e+002 1.664101851e+002 1.5e-009 3.61
52 2.4e-006 1.2e-002 1.5e-004 1.00e+000 1.664043969e+002 1.664099752e+002 1.3e-009 3.67
53 2.2e-006 1.1e-002 1.4e-004 1.00e+000 1.664047657e+002 1.664097861e+002 1.2e-009 3.73
54 2.0e-006 1.1e-002 1.2e-004 1.00e+000 1.664050975e+002 1.664096158e+002 1.1e-009 3.80
55 1.8e-006 1.1e-002 1.1e-004 1.00e+000 1.664053960e+002 1.664094624e+002 9.8e-010 3.84
56 1.6e-006 1.1e-002 1.0e-004 1.00e+000 1.664056645e+002 1.664093243e+002 8.8e-010 3.88
57 1.4e-006 1.0e-002 9.0e-005 1.00e+000 1.664059061e+002 1.664091999e+002 7.9e-010 3.92
58 1.3e-006 1.0e-002 8.1e-005 1.00e+000 1.664061235e+002 1.664090878e+002 7.1e-010 3.95
59 1.2e-006 9.9e-003 7.3e-005 1.00e+000 1.664063191e+002 1.664089869e+002 6.4e-010 3.98
60 1.1e-006 9.7e-003 6.5e-005 1.00e+000 1.664064950e+002 1.664088961e+002 5.8e-010 4.01
61 9.5e-007 9.5e-003 5.9e-005 1.00e+000 1.664066533e+002 1.664088143e+002 5.2e-010 4.11
62 8.5e-007 9.3e-003 5.3e-005 1.00e+000 1.664067957e+002 1.664087406e+002 4.7e-010 4.20
63 7.7e-007 9.2e-003 4.8e-005 1.00e+000 1.664069238e+002 1.664086742e+002 4.2e-010 4.28
64 6.9e-007 9.1e-003 4.3e-005 1.00e+000 1.664070391e+002 1.664086144e+002 3.8e-010 4.36
65 6.2e-007 8.9e-003 3.9e-005 1.00e+000 1.664071428e+002 1.664085606e+002 3.4e-010 4.41
66 5.6e-007 8.8e-003 3.5e-005 1.00e+000 1.664072360e+002 1.664085120e+002 3.1e-010 4.47
67 5.0e-007 8.7e-003 3.1e-005 1.00e+000 1.664073199e+002 1.664084683e+002 2.8e-010 4.50
68 4.5e-007 8.6e-003 2.8e-005 1.00e+000 1.664073954e+002 1.664084289e+002 2.5e-010 4.55
69 4.1e-007 8.6e-003 2.5e-005 1.00e+000 1.664074632e+002 1.664083935e+002 2.2e-010 4.59
70 3.7e-007 8.5e-003 2.3e-005 1.00e+000 1.664075243e+002 1.664083615e+002 2.0e-010 4.63
71 3.3e-007 8.4e-003 2.1e-005 1.00e+000 1.664075792e+002 1.664083327e+002 1.8e-010 4.67
72 3.0e-007 8.4e-003 1.8e-005 1.00e+000 1.664076286e+002 1.664083068e+002 1.6e-010 4.72
73 2.7e-007 8.3e-003 1.7e-005 1.00e+000 1.664076731e+002 1.664082834e+002 1.5e-010 4.75
74 2.4e-007 8.3e-003 1.5e-005 1.00e+000 1.664077131e+002 1.664082624e+002 1.3e-010 4.80
75 2.2e-007 8.2e-003 1.3e-005 1.00e+000 1.664077491e+002 1.664082434e+002 1.2e-010 4.83
76 1.9e-007 8.2e-003 1.2e-005 1.00e+000 1.664077815e+002 1.664082264e+002 1.1e-010 4.84
77 1.8e-007 8.1e-003 1.1e-005 1.00e+000 1.664078106e+002 1.664082111e+002 9.7e-011 4.86
78 1.6e-007 8.1e-003 9.8e-006 1.00e+000 1.664078368e+002 1.664081972e+002 8.7e-011 4.89
79 1.4e-007 8.0e-003 8.8e-006 1.00e+000 1.664078604e+002 1.664081848e+002 7.8e-011 4.91
80 1.3e-007 8.0e-003 8.0e-006 1.00e+000 1.664078817e+002 1.664081736e+002 7.0e-011 4.94
81 1.1e-007 8.0e-003 7.2e-006 1.00e+000 1.664079008e+002 1.664081635e+002 6.3e-011 4.95
82 1.0e-007 8.0e-003 6.4e-006 9.99e-001 1.664079180e+002 1.664081544e+002 5.7e-011 4.97
83 9.3e-008 7.9e-003 5.8e-006 1.00e+000 1.664079335e+002 1.664081463e+002 5.1e-011 5.00
84 8.4e-008 7.9e-003 5.2e-006 1.00e+000 1.664079474e+002 1.664081389e+002 4.6e-011 5.01
85 7.5e-008 7.9e-003 4.7e-006 9.99e-001 1.664079599e+002 1.664081323e+002 4.2e-011 5.05
86 6.8e-008 7.9e-003 4.2e-006 1.00e+000 1.664079712e+002 1.664081263e+002 3.7e-011 5.06
87 6.1e-008 7.8e-003 3.8e-006 1.00e+000 1.664079813e+002 1.664081210e+002 3.4e-011 5.08
88 5.5e-008 7.8e-003 3.4e-006 9.99e-001 1.664079905e+002 1.664081161e+002 3.0e-011 5.11
89 4.9e-008 7.8e-003 3.1e-006 1.00e+000 1.664079987e+002 1.664081118e+002 2.7e-011 5.13
90 4.5e-008 7.8e-003 2.8e-006 9.99e-001 1.664080061e+002 1.664081079e+002 2.5e-011 5.16
91 4.0e-008 7.8e-003 2.5e-006 9.98e-001 1.664080127e+002 1.664081044e+002 2.2e-011 5.17
92 3.6e-008 7.8e-003 2.2e-006 9.98e-001 1.664080187e+002 1.664081012e+002 2.0e-011 5.20
93 3.2e-008 7.7e-003 2.0e-006 1.00e+000 1.664080241e+002 1.664080983e+002 1.8e-011 5.23
94 2.9e-008 7.0e-003 1.8e-006 1.00e+000 1.664080290e+002 1.664080957e+002 1.6e-011 5.25
95 2.6e-008 6.3e-003 1.6e-006 1.00e+000 1.664080333e+002 1.664080934e+002 1.4e-011 5.28
96 2.4e-008 5.6e-003 1.5e-006 1.00e+000 1.664080373e+002 1.664080913e+002 1.3e-011 5.30
97 2.1e-008 5.1e-003 1.3e-006 1.00e+000 1.664080408e+002 1.664080895e+002 1.2e-011 5.33
98 1.9e-008 4.6e-003 1.2e-006 1.00e+000 1.664080440e+002 1.664080878e+002 1.1e-011 5.34
99 1.7e-008 4.1e-003 1.1e-006 1.01e+000 1.664080469e+002 1.664080862e+002 9.5e-012 5.38
100 1.6e-008 3.7e-003 9.7e-007 1.00e+000 1.664080495e+002 1.664080849e+002 8.6e-012 5.39
101 1.4e-008 3.3e-003 8.7e-007 1.01e+000 1.664080519e+002 1.664080834e+002 7.7e-012 5.41
102 1.3e-008 3.0e-003 7.8e-007 1.00e+000 1.664080540e+002 1.664080824e+002 7.0e-012 5.45
103 1.1e-008 2.7e-003 7.1e-007 9.97e-001 1.664080559e+002 1.664080814e+002 6.3e-012 5.48
104 1.0e-008 2.4e-003 6.3e-007 9.99e-001 1.664080575e+002 1.664080805e+002 5.6e-012 5.50
105 9.3e-009 2.2e-003 5.7e-007 9.94e-001 1.664080590e+002 1.664080797e+002 5.1e-012 5.53
106 8.4e-009 2.0e-003 5.1e-007 1.02e+000 1.664080605e+002 1.664080788e+002 4.6e-012 5.55
107 8.9e-009 1.8e-003 4.6e-007 1.15e+000 1.664080627e+002 1.664080770e+002 4.4e-012 5.58
108 9.3e-009 1.6e-003 4.2e-007 9.99e-001 1.664080638e+002 1.664080764e+002 4.0e-012 5.59
109 8.3e-009 1.4e-003 3.7e-007 1.02e+000 1.664080647e+002 1.664080760e+002 3.6e-012 5.61
110 7.6e-009 1.3e-003 3.4e-007 1.01e+000 1.664080655e+002 1.664080757e+002 3.2e-012 5.64
111 6.9e-009 1.2e-003 3.0e-007 9.85e-001 1.664080662e+002 1.664080754e+002 2.9e-012 5.66
112 6.4e-009 1.0e-003 2.7e-007 1.01e+000 1.664080669e+002 1.664080751e+002 2.6e-012 5.67
113 5.8e-009 9.4e-004 2.5e-007 9.93e-001 1.664080675e+002 1.664080748e+002 2.4e-012 5.70
114 5.1e-009 8.6e-004 2.2e-007 9.30e-001 1.664080679e+002 1.664080748e+002 2.1e-012 5.72
115 4.7e-009 7.7e-004 2.0e-007 1.03e+000 1.664080684e+002 1.664080746e+002 1.9e-012 5.75
116 4.4e-009 7.0e-004 1.8e-007 1.02e+000 1.664080689e+002 1.664080743e+002 1.8e-012 5.76
117 4.0e-009 6.3e-004 1.6e-007 1.00e+000 1.664080693e+002 1.664080741e+002 1.6e-012 5.78
118 3.6e-009 5.6e-004 1.5e-007 1.04e+000 1.664080697e+002 1.664080739e+002 1.5e-012 5.81
119 3.2e-009 5.1e-004 1.3e-007 9.96e-001 1.664080700e+002 1.664080738e+002 1.3e-012 5.83
120 2.9e-009 4.6e-004 1.2e-007 1.00e+000 1.664080702e+002 1.664080736e+002 1.2e-012 5.84
121 2.6e-009 4.1e-004 1.1e-007 1.01e+000 1.664080705e+002 1.664080735e+002 1.1e-012 5.88
122 2.3e-009 3.7e-004 9.5e-008 1.00e+000 1.664080707e+002 1.664080734e+002 9.6e-013 5.89
Interior-point optimizer terminated. Time: 5.91.
Optimizer terminated. Time: 5.92
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807070e+002 nrm: 2e+001 Viol. con: 2e-008 var: 0e+000
Dual. obj: 1.6640807345e+002 nrm: 1e+003 Viol. con: 0e+000 var: 2e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 5.94 seconds.
Solving took 9 GP solves and 60 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: 1.4957399465590506e+110 vs 1.49570530713e+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
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682875]
Total Aircraft Weight Percent Diff: [-21.48050317]
Engine Weight Percent Diff: -56.2779051372455
Fuselage Weight Percent Diff: -0.8697119126176315
Payload Weight Percent Diff: [-0.04003556]
VT Weight Percent Diff: -8.607430773165344
HT Weight Percent Diff: -93.23323217632101
Wing Weight Percent Diff: 8.267487050877822
WING DIFFERENCES
Wing Span Percent Diff: -0.029996034039385444
Wing Area Percent Diff: 32.90025612356514
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.489668454766985
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022273804478576
VT Area Percent Diff: -60.38677630892996
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54746359]
L/D Percent Diff: [24.01021171]
Nacelle Cd Percent Diff: [-94.27641304]
HT Cd Percent Diff: [-80.76934721] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00301777] dimensionless
Wing Cd percent Diff: [-14.22944404]
Induced Drag Cd Percent Diff: [1.21913396]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57037009]
FUSELAGE DIFFERENCES
Weight of HB material: -38.35946290446718
Weight of VB material: 87.82594477032559
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260553]