![[Jenkins]](/csi/static/36dbc502/images/svgs/logo.svg){kind=logo}
Passed
gpkit.tests.from_paths.TestFiles.test_SPaircraft_py_mosek (from gpkit.tests.from_paths.TestFiles-20190901125947)
Standard Output
Mission
=======
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission.Aircraft.Wing.WingBox.N_{lift} = 3
Mission.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission.Aircraft.VerticalTail.WingBox.N_{lift}*Mission.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission.Aircraft.Wing.WingBox.r_{w/c} = Mission.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission.Aircraft.Fuselage.N_{lift} = Mission.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 937
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 937
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 : 768
Optimizer - Cones : 0
Optimizer - Scalar variables : 3438 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.25 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.19
Factor - nonzeros before factor : 1.64e+004 after factor : 1.46e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.3e+005 0.00e+000 -1.285824792e+005 2.000000000e+000 1.0e+000 0.27
1 1.1e+003 1.5e+003 6.3e+004 -9.71e-001 -1.265132514e+005 3.611589420e+000 4.9e-001 4.09
2 4.1e+002 5.4e+002 2.3e+004 -9.38e-001 -1.199666169e+005 1.064041138e+001 1.8e-001 4.76
3 2.9e+002 3.7e+002 1.6e+004 -8.34e-001 -1.156309126e+005 6.812702963e+001 1.3e-001 4.79
4 2.8e+002 3.7e+002 1.6e+004 -7.60e-001 -1.131522901e+005 2.113211995e+003 1.3e-001 6.64
5 8.8e+001 1.2e+002 5.0e+003 -7.53e-001 -8.096538237e+004 8.430204037e+003 3.9e-002 6.68
6 3.7e+001 4.8e+001 2.1e+003 -2.92e-001 -4.806295568e+004 1.015705753e+004 1.6e-002 10.28
7 2.1e+001 2.8e+001 1.2e+003 2.53e-001 -3.183959973e+004 7.147574260e+003 9.5e-003 14.87
8 9.4e+000 1.2e+001 5.3e+002 5.37e-001 -1.516213576e+004 4.167067597e+003 4.2e-003 15.10
9 5.5e+000 7.2e+000 3.1e+002 8.14e-001 -8.873654488e+003 2.833843752e+003 2.5e-003 15.13
10 1.3e+000 1.8e+000 7.7e+001 9.07e-001 -2.032976954e+003 9.282385087e+002 6.1e-004 15.16
11 7.0e-001 9.2e-001 4.0e+001 9.94e-001 -8.350002142e+002 7.206024908e+002 3.2e-004 15.19
12 4.7e-001 6.2e-001 2.7e+001 9.97e-001 -4.846306076e+002 5.632460213e+002 2.1e-004 15.23
13 3.5e-001 7.3e-001 2.0e+001 9.79e-001 -3.148957258e+002 4.857769751e+002 1.6e-004 15.30
14 1.7e-001 3.5e-001 9.8e+000 9.96e-001 -1.857417115e+001 3.656902710e+002 7.9e-005 15.33
15 5.5e-002 1.5e-001 3.3e+000 9.94e-001 1.620485362e+002 2.901550655e+002 2.6e-005 15.37
16 3.2e-002 1.3e-001 1.9e+000 1.00e+000 1.996394651e+002 2.746181590e+002 1.6e-005 15.40
17 5.1e-003 1.8e-001 3.3e-001 1.00e+000 2.444824012e+002 2.572405213e+002 2.8e-006 15.44
18 1.5e-003 1.3e-001 9.6e-002 1.00e+000 2.509288752e+002 2.546905409e+002 8.3e-007 15.48
19 4.8e-004 1.1e-001 3.2e-002 1.00e+000 2.527800442e+002 2.540213968e+002 2.8e-007 15.51
20 2.1e-004 8.6e-002 1.4e-002 1.00e+000 2.532857302e+002 2.538354980e+002 1.2e-007 15.54
21 1.9e-004 7.8e-002 1.3e-002 1.00e+000 2.533271035e+002 2.538219096e+002 1.1e-007 15.58
22 1.7e-004 7.1e-002 1.1e-002 1.00e+000 2.533631908e+002 2.538084914e+002 1.0e-007 15.62
23 1.5e-004 6.4e-002 1.0e-002 1.00e+000 2.533957124e+002 2.537964664e+002 9.0e-008 16.25
24 1.4e-004 5.9e-002 9.3e-003 1.00e+000 2.534249555e+002 2.537856200e+002 8.1e-008 16.27
25 1.2e-004 5.4e-002 8.3e-003 1.00e+000 2.534512557e+002 2.537758421e+002 7.3e-008 16.30
26 1.1e-004 4.9e-002 7.5e-003 1.00e+000 2.534749084e+002 2.537670264e+002 6.6e-008 16.33
27 1.0e-004 4.5e-002 6.8e-003 1.00e+000 2.534961824e+002 2.537590805e+002 5.9e-008 16.35
28 9.1e-005 4.1e-002 6.1e-003 1.00e+000 2.535153179e+002 2.537519196e+002 5.3e-008 16.38
29 8.2e-005 3.8e-002 5.5e-003 1.00e+000 2.535325308e+002 2.537454669e+002 4.8e-008 16.41
30 7.3e-005 3.5e-002 4.9e-003 1.00e+000 2.535480148e+002 2.537396530e+002 4.3e-008 16.43
31 6.6e-005 3.2e-002 4.4e-003 1.00e+000 2.535619442e+002 2.537344150e+002 3.9e-008 18.72
32 5.9e-005 2.9e-002 4.0e-003 1.00e+000 2.535744754e+002 2.537296963e+002 3.5e-008 19.23
33 5.3e-005 2.7e-002 3.6e-003 1.00e+000 2.535857490e+002 2.537254456e+002 3.1e-008 19.38
34 4.8e-005 2.5e-002 3.2e-003 1.00e+000 2.535958915e+002 2.537216167e+002 2.8e-008 19.42
35 4.3e-005 2.4e-002 2.9e-003 1.00e+000 2.536050166e+002 2.537181679e+002 2.5e-008 19.48
36 3.9e-005 2.2e-002 2.6e-003 1.00e+000 2.536132264e+002 2.537150615e+002 2.3e-008 19.52
37 3.5e-005 2.0e-002 2.4e-003 1.00e+000 2.536206130e+002 2.537122637e+002 2.1e-008 19.58
38 3.2e-005 1.9e-002 2.1e-003 1.00e+000 2.536272589e+002 2.537097440e+002 1.9e-008 19.61
39 2.8e-005 1.8e-002 1.9e-003 1.00e+000 2.536332386e+002 2.537074747e+002 1.7e-008 19.66
40 2.6e-005 1.7e-002 1.7e-003 1.00e+000 2.536386189e+002 2.537054310e+002 1.5e-008 20.28
41 2.3e-005 1.6e-002 1.5e-003 1.00e+000 2.536434601e+002 2.537035907e+002 1.4e-008 23.98
42 2.1e-005 1.5e-002 1.4e-003 1.00e+000 2.536478161e+002 2.537019335e+002 1.2e-008 25.01
43 1.9e-005 1.4e-002 1.3e-003 1.00e+000 2.536517357e+002 2.537004413e+002 1.1e-008 25.23
44 1.7e-005 1.4e-002 1.1e-003 1.00e+000 2.536552627e+002 2.536990976e+002 9.8e-009 25.91
45 1.5e-005 1.3e-002 1.0e-003 1.00e+000 2.536584365e+002 2.536978878e+002 8.9e-009 25.99
46 1.4e-005 1.3e-002 9.1e-004 1.00e+000 2.536612924e+002 2.536967986e+002 8.0e-009 26.08
47 1.2e-005 1.2e-002 8.2e-004 1.00e+000 2.536638623e+002 2.536958179e+002 7.2e-009 26.18
48 1.1e-005 1.2e-002 7.4e-004 1.00e+000 2.536661750e+002 2.536949350e+002 6.5e-009 26.30
49 9.9e-006 1.1e-002 6.7e-004 1.00e+000 2.536682562e+002 2.536941402e+002 5.8e-009 26.38
50 8.9e-006 1.1e-002 6.0e-004 1.00e+000 2.536701290e+002 2.536934247e+002 5.2e-009 26.43
51 8.0e-006 1.0e-002 5.4e-004 1.00e+000 2.536718144e+002 2.536927806e+002 4.7e-009 26.49
52 7.2e-006 1.0e-002 4.9e-004 1.00e+000 2.536733312e+002 2.536922007e+002 4.2e-009 26.54
53 6.5e-006 9.9e-003 4.4e-004 1.00e+000 2.536746961e+002 2.536916788e+002 3.8e-009 26.60
54 5.9e-006 9.6e-003 3.9e-004 1.00e+000 2.536759245e+002 2.536912089e+002 3.4e-009 26.69
55 5.3e-006 9.4e-003 3.5e-004 1.00e+000 2.536770300e+002 2.536907860e+002 3.1e-009 26.75
56 4.7e-006 9.2e-003 3.2e-004 1.00e+000 2.536780248e+002 2.536904052e+002 2.8e-009 26.82
57 4.3e-006 9.0e-003 2.9e-004 1.00e+000 2.536789201e+002 2.536900625e+002 2.5e-009 26.88
58 3.8e-006 8.9e-003 2.6e-004 1.00e+000 2.536797258e+002 2.536897540e+002 2.3e-009 26.96
59 3.5e-006 8.7e-003 2.3e-004 1.00e+000 2.536804509e+002 2.536894763e+002 2.0e-009 27.02
60 3.1e-006 8.6e-003 2.1e-004 1.00e+000 2.536811034e+002 2.536892263e+002 1.8e-009 27.14
61 1.2e-006 3.3e-003 8.1e-005 1.00e+000 2.536846840e+002 2.536878533e+002 7.1e-010 27.30
62 1.1e-006 3.0e-003 7.3e-005 1.00e+000 2.536849136e+002 2.536877661e+002 6.4e-010 27.41
63 3.9e-007 1.1e-003 2.6e-005 1.00e+000 2.536862342e+002 2.536872593e+002 2.3e-010 27.55
64 3.5e-007 9.7e-004 2.4e-005 1.00e+000 2.536863084e+002 2.536872309e+002 2.1e-010 27.63
65 3.3e-007 9.1e-004 2.2e-005 1.00e+000 2.536863526e+002 2.536872139e+002 1.9e-010 28.06
66 3.1e-007 8.5e-004 2.1e-005 1.00e+000 2.536863939e+002 2.536871980e+002 1.8e-010 28.13
67 2.8e-007 7.7e-004 1.9e-005 1.00e+000 2.536864490e+002 2.536871768e+002 1.6e-010 28.17
68 2.5e-007 6.9e-004 1.7e-005 1.00e+000 2.536865016e+002 2.536871566e+002 1.5e-010 29.28
69 2.3e-007 6.4e-004 1.5e-005 1.00e+000 2.536865402e+002 2.536871418e+002 1.4e-010 30.20
70 2.3e-007 6.3e-004 1.5e-005 1.00e+000 2.536865418e+002 2.536871412e+002 1.3e-010 32.42
71 2.1e-007 5.7e-004 1.4e-005 1.00e+000 2.536865851e+002 2.536871246e+002 1.2e-010 32.46
72 1.9e-007 5.1e-004 1.2e-005 1.00e+000 2.536866241e+002 2.536871096e+002 1.1e-010 32.49
73 1.8e-007 5.1e-004 1.2e-005 1.00e+000 2.536866254e+002 2.536871091e+002 1.1e-010 32.53
74 1.7e-007 4.6e-004 1.1e-005 1.00e+000 2.536866586e+002 2.536870963e+002 9.8e-011 32.79
75 1.6e-007 4.5e-004 1.1e-005 1.00e+000 2.536866647e+002 2.536870940e+002 9.6e-011 32.82
76 1.6e-007 4.5e-004 1.1e-005 1.00e+000 2.536866659e+002 2.536870935e+002 9.6e-011 32.87
77 1.5e-007 4.1e-004 9.9e-006 1.00e+000 2.536866967e+002 2.536870816e+002 8.6e-011 33.32
78 1.5e-007 4.1e-004 9.9e-006 1.00e+000 2.536866978e+002 2.536870812e+002 8.6e-011 33.35
79 1.3e-007 3.7e-004 8.9e-006 1.00e+000 2.536867255e+002 2.536870706e+002 7.8e-011 33.38
80 1.3e-007 3.5e-004 8.5e-006 1.00e+000 2.536867365e+002 2.536870664e+002 7.4e-011 36.97
81 1.1e-007 3.2e-004 7.7e-006 1.00e+000 2.536867591e+002 2.536870577e+002 6.7e-011 37.92
82 1.1e-007 3.2e-004 7.6e-006 1.00e+000 2.536867599e+002 2.536870574e+002 6.7e-011 37.95
83 1.0e-007 2.9e-004 6.9e-006 1.00e+000 2.536867814e+002 2.536870491e+002 6.0e-011 37.99
84 1.0e-007 2.9e-004 6.9e-006 1.00e+000 2.536867821e+002 2.536870488e+002 6.0e-011 38.03
85 9.2e-008 2.6e-004 6.2e-006 1.00e+000 2.536868004e+002 2.536870418e+002 5.4e-011 38.06
86 9.2e-008 2.6e-004 6.2e-006 1.00e+000 2.536868011e+002 2.536870415e+002 5.4e-011 38.09
87 8.3e-008 2.3e-004 5.6e-006 1.00e+000 2.536868184e+002 2.536870348e+002 4.9e-011 38.13
88 7.4e-008 2.1e-004 5.0e-006 1.00e+000 2.536868340e+002 2.536870288e+002 4.4e-011 38.16
89 6.7e-008 1.9e-004 4.5e-006 1.00e+000 2.536868481e+002 2.536870234e+002 3.9e-011 38.17
90 6.1e-008 1.7e-004 4.1e-006 1.00e+000 2.536868595e+002 2.536870190e+002 3.6e-011 38.20
91 5.5e-008 1.5e-004 3.7e-006 1.00e+000 2.536868705e+002 2.536870148e+002 3.2e-011 38.23
92 5.5e-008 1.5e-004 3.7e-006 1.00e+000 2.536868705e+002 2.536870148e+002 3.2e-011 38.27
93 5.0e-008 1.4e-004 3.3e-006 1.00e+000 2.536868809e+002 2.536870108e+002 2.9e-011 38.30
94 4.5e-008 1.3e-004 3.0e-006 1.00e+000 2.536868903e+002 2.536870072e+002 2.6e-011 38.66
95 4.5e-008 1.3e-004 3.0e-006 9.99e-001 2.536868903e+002 2.536870072e+002 2.6e-011 38.69
96 4.0e-008 1.1e-004 2.7e-006 1.00e+000 2.536868983e+002 2.536870041e+002 2.4e-011 38.72
97 4.0e-008 1.1e-004 2.7e-006 1.00e+000 2.536868983e+002 2.536870041e+002 2.4e-011 38.84
98 3.6e-008 1.0e-004 2.4e-006 1.00e+000 2.536869060e+002 2.536870011e+002 2.1e-011 38.86
99 3.3e-008 9.4e-005 2.2e-006 1.00e+000 2.536869116e+002 2.536869990e+002 2.0e-011 38.89
100 3.0e-008 8.5e-005 2.0e-006 1.00e+000 2.536869175e+002 2.536869967e+002 1.8e-011 38.92
101 2.8e-008 7.8e-005 1.9e-006 1.00e+000 2.536869222e+002 2.536869949e+002 1.6e-011 38.95
102 2.8e-008 7.8e-005 1.9e-006 1.00e+000 2.536869222e+002 2.536869949e+002 1.6e-011 38.98
103 2.8e-008 7.8e-005 1.9e-006 1.00e+000 2.536869222e+002 2.536869949e+002 1.6e-011 39.02
104 2.5e-008 7.1e-005 1.7e-006 1.00e+000 2.536869272e+002 2.536869930e+002 1.5e-011 39.05
105 2.5e-008 7.1e-005 1.7e-006 1.00e+000 2.536869272e+002 2.536869930e+002 1.5e-011 39.08
106 2.3e-008 6.4e-005 1.5e-006 9.99e-001 2.536869317e+002 2.536869912e+002 1.3e-011 39.09
107 2.3e-008 6.4e-005 1.5e-006 1.00e+000 2.536869317e+002 2.536869912e+002 1.3e-011 39.59
108 2.3e-008 6.4e-005 1.5e-006 1.00e+000 2.536869317e+002 2.536869912e+002 1.3e-011 41.29
109 2.1e-008 5.8e-005 1.4e-006 9.99e-001 2.536869358e+002 2.536869896e+002 1.2e-011 42.37
110 2.1e-008 5.8e-005 1.4e-006 1.00e+000 2.536869358e+002 2.536869896e+002 1.2e-011 42.57
111 1.9e-008 5.2e-005 1.2e-006 9.99e-001 2.536869397e+002 2.536869881e+002 1.1e-011 44.15
112 1.9e-008 5.2e-005 1.2e-006 1.00e+000 2.536869397e+002 2.536869881e+002 1.1e-011 44.18
113 1.8e-008 5.0e-005 1.2e-006 1.00e+000 2.536869412e+002 2.536869875e+002 1.0e-011 44.21
114 1.8e-008 5.0e-005 1.2e-006 1.00e+000 2.536869412e+002 2.536869875e+002 1.0e-011 44.24
115 1.6e-008 4.5e-005 1.1e-006 1.00e+000 2.536869446e+002 2.536869863e+002 9.4e-012 44.27
116 1.4e-008 4.0e-005 9.6e-007 1.00e+000 2.536869476e+002 2.536869851e+002 8.4e-012 44.30
117 1.3e-008 3.7e-005 8.8e-007 1.00e+000 2.536869500e+002 2.536869841e+002 7.7e-012 44.34
118 1.3e-008 3.7e-005 8.8e-007 9.99e-001 2.536869500e+002 2.536869841e+002 7.7e-012 44.37
119 1.2e-008 3.3e-005 7.9e-007 1.00e+000 2.536869525e+002 2.536869832e+002 6.9e-012 44.40
120 1.2e-008 3.3e-005 7.9e-007 1.00e+000 2.536869525e+002 2.536869832e+002 6.9e-012 44.43
121 1.1e-008 3.0e-005 7.1e-007 1.00e+000 2.536869547e+002 2.536869823e+002 6.2e-012 44.46
Interior-point optimizer terminated. Time: 44.48.
Optimizer terminated. Time: 44.52
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695471e+002 Viol. con: 2e-007 var: 0e+000
Dual. obj: 2.5368698234e+002 Viol. con: 0e+000 var: 2e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 44.5 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
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 : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 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 : 1.64e+004 after factor : 1.46e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.3e+005 0.00e+000 -1.286636032e+005 2.000000000e+000 1.0e+000 0.05
1 1.1e+003 1.4e+003 6.0e+004 -9.71e-001 -1.264180260e+005 3.781070854e+000 4.7e-001 7.50
2 4.6e+002 6.0e+002 2.6e+004 -9.35e-001 -1.210471961e+005 9.871250683e+000 2.0e-001 10.44
3 2.9e+002 3.8e+002 1.6e+004 -8.50e-001 -1.158624976e+005 5.253701904e+001 1.3e-001 10.50
4 2.9e+002 3.8e+002 1.6e+004 -7.62e-001 -1.137381539e+005 1.863811989e+003 1.3e-001 10.55
5 8.3e+001 1.1e+002 4.6e+003 -7.57e-001 -7.842864614e+004 9.038469615e+003 3.6e-002 10.61
6 3.6e+001 4.7e+001 2.0e+003 -2.53e-001 -4.698029976e+004 1.010176984e+004 1.6e-002 10.67
7 1.8e+001 2.4e+001 1.0e+003 2.76e-001 -2.813348627e+004 6.397682881e+003 8.2e-003 10.72
8 9.2e+000 1.2e+001 5.1e+002 6.02e-001 -1.477869528e+004 4.004072580e+003 4.0e-003 10.76
9 5.7e+000 7.4e+000 3.2e+002 8.20e-001 -9.247829647e+003 2.776681959e+003 2.5e-003 10.83
10 1.9e+000 2.5e+000 1.1e+002 9.03e-001 -3.003060245e+003 1.154002747e+003 8.5e-004 10.89
11 1.6e+000 2.0e+000 8.8e+001 9.75e-001 -2.419018844e+003 1.010907090e+003 7.0e-004 10.95
12 1.0e+000 1.4e+000 5.7e+001 9.77e-001 -1.494909656e+003 7.263449642e+002 4.5e-004 11.00
13 4.7e-001 7.0e-001 2.7e+001 9.83e-001 -6.134619093e+002 4.375215957e+002 2.1e-004 11.08
14 2.5e-001 3.8e-001 1.4e+001 1.00e+000 -2.355955327e+002 3.290668941e+002 1.1e-004 12.51
15 1.0e-001 1.7e-001 5.9e+000 1.00e+000 7.317602598e+000 2.369834054e+002 4.7e-005 12.54
16 5.0e-002 1.0e-001 2.9e+000 1.00e+000 9.073389219e+001 2.038614697e+002 2.3e-005 12.57
17 1.0e-002 1.5e-001 6.3e-001 1.01e+000 1.546017198e+002 1.791070622e+002 5.2e-006 12.81
18 6.2e-003 1.0e-001 3.8e-001 1.01e+000 1.615120996e+002 1.764421343e+002 3.2e-006 12.84
19 1.6e-003 1.2e-001 1.0e-001 1.01e+000 1.694752260e+002 1.734658667e+002 8.7e-007 12.87
20 3.3e-004 1.5e-001 2.2e-002 1.01e+000 1.717779124e+002 1.726253082e+002 1.9e-007 12.90
21 1.4e-004 1.0e-001 9.3e-003 9.93e-001 1.721395917e+002 1.725021452e+002 8.2e-008 12.93
22 8.8e-005 8.3e-002 5.9e-003 1.00e+000 1.722353217e+002 1.724645582e+002 5.2e-008 12.98
23 7.9e-005 7.7e-002 5.3e-003 1.00e+000 1.722533705e+002 1.724597541e+002 4.7e-008 13.20
24 7.1e-005 7.0e-002 4.8e-003 1.00e+000 1.722685685e+002 1.724543182e+002 4.2e-008 13.23
25 6.4e-005 6.4e-002 4.3e-003 1.00e+000 1.722822896e+002 1.724494652e+002 3.8e-008 13.26
26 5.8e-005 5.8e-002 3.9e-003 1.00e+000 1.722946094e+002 1.724450671e+002 3.4e-008 13.29
27 5.2e-005 5.3e-002 3.5e-003 1.00e+000 1.723056845e+002 1.724410955e+002 3.1e-008 13.32
28 4.7e-005 4.9e-002 3.1e-003 1.00e+000 1.723156370e+002 1.724375058e+002 2.8e-008 13.35
29 4.2e-005 4.5e-002 2.8e-003 1.00e+000 1.723245807e+002 1.724342615e+002 2.5e-008 13.37
30 3.8e-005 4.1e-002 2.5e-003 1.00e+000 1.723326179e+002 1.724313294e+002 2.2e-008 15.66
31 3.4e-005 3.8e-002 2.3e-003 1.00e+000 1.723398406e+002 1.724286800e+002 2.0e-008 16.50
32 3.1e-005 3.5e-002 2.1e-003 1.00e+000 1.723463320e+002 1.724262867e+002 1.8e-008 16.54
33 2.8e-005 3.2e-002 1.9e-003 1.00e+000 1.723521669e+002 1.724241253e+002 1.6e-008 17.04
34 2.5e-005 3.0e-002 1.7e-003 1.00e+000 1.723574121e+002 1.724221741e+002 1.5e-008 17.07
35 2.2e-005 2.8e-002 1.5e-003 1.00e+000 1.723621277e+002 1.724204130e+002 1.3e-008 17.72
36 2.0e-005 2.6e-002 1.4e-003 1.00e+000 1.723663677e+002 1.724188241e+002 1.2e-008 22.67
37 1.8e-005 2.4e-002 1.2e-003 1.00e+000 1.723701803e+002 1.724173908e+002 1.1e-008 22.71
38 1.6e-005 2.2e-002 1.1e-003 1.00e+000 1.723736089e+002 1.724160981e+002 9.6e-009 22.79
39 1.5e-005 2.1e-002 9.9e-004 1.00e+000 1.723766923e+002 1.724149324e+002 8.6e-009 25.29
40 1.3e-005 1.9e-002 8.9e-004 1.00e+000 1.723794654e+002 1.724138814e+002 7.8e-009 25.35
41 1.2e-005 1.8e-002 8.0e-004 1.00e+000 1.723819596e+002 1.724129339e+002 7.0e-009 25.38
42 1.1e-005 1.7e-002 7.2e-004 1.00e+000 1.723842030e+002 1.724120799e+002 6.3e-009 25.41
43 9.6e-006 1.6e-002 6.5e-004 1.00e+000 1.723862209e+002 1.724113101e+002 5.7e-009 25.46
44 8.7e-006 1.5e-002 5.8e-004 1.00e+000 1.723880361e+002 1.724106163e+002 5.1e-009 25.51
45 7.8e-006 1.5e-002 5.2e-004 1.00e+000 1.723896690e+002 1.724099912e+002 4.6e-009 25.54
46 7.0e-006 1.4e-002 4.7e-004 1.00e+000 1.723911379e+002 1.724094279e+002 4.1e-009 25.58
47 6.3e-006 1.3e-002 4.3e-004 1.00e+000 1.723924593e+002 1.724089204e+002 3.7e-009 25.65
48 5.7e-006 1.3e-002 3.8e-004 1.00e+000 1.723936482e+002 1.724084632e+002 3.3e-009 25.76
49 5.1e-006 1.2e-002 3.4e-004 1.00e+000 1.723947178e+002 1.724080513e+002 3.0e-009 25.79
50 4.6e-006 1.2e-002 3.1e-004 1.00e+000 1.723956801e+002 1.724076803e+002 2.7e-009 25.82
51 4.2e-006 1.1e-002 2.8e-004 1.00e+000 1.723965458e+002 1.724073462e+002 2.4e-009 25.85
52 3.7e-006 1.1e-002 2.5e-004 1.00e+000 1.723973248e+002 1.724070452e+002 2.2e-009 25.88
53 3.4e-006 1.1e-002 2.3e-004 1.00e+000 1.723980257e+002 1.724067741e+002 2.0e-009 25.91
54 3.0e-006 1.0e-002 2.0e-004 1.00e+000 1.723986564e+002 1.724065299e+002 1.8e-009 25.96
55 2.7e-006 1.0e-002 1.8e-004 1.00e+000 1.723992238e+002 1.724063100e+002 1.6e-009 25.99
56 2.5e-006 9.7e-003 1.6e-004 1.00e+000 1.723997344e+002 1.724061120e+002 1.4e-009 26.02
57 2.2e-006 9.5e-003 1.5e-004 1.00e+000 1.724001938e+002 1.724059337e+002 1.3e-009 26.05
58 2.0e-006 9.3e-003 1.3e-004 1.00e+000 1.724006072e+002 1.724057732e+002 1.2e-009 26.08
59 1.8e-006 9.1e-003 1.2e-004 1.00e+000 1.724009792e+002 1.724056286e+002 1.1e-009 26.13
60 1.6e-006 9.0e-003 1.1e-004 1.00e+000 1.724013140e+002 1.724054984e+002 9.5e-010 26.18
61 1.4e-006 8.8e-003 9.7e-005 1.00e+000 1.724016152e+002 1.724053812e+002 8.5e-010 26.21
62 1.3e-006 8.7e-003 8.8e-005 1.00e+000 1.724018862e+002 1.724052757e+002 7.7e-010 26.24
63 1.2e-006 8.6e-003 7.9e-005 1.00e+000 1.724021301e+002 1.724051807e+002 6.9e-010 26.27
64 1.1e-006 8.5e-003 7.1e-005 1.00e+000 1.724023496e+002 1.724050951e+002 6.2e-010 26.30
65 9.5e-007 8.4e-003 6.4e-005 1.00e+000 1.724025471e+002 1.724050180e+002 5.6e-010 26.33
66 8.5e-007 8.3e-003 5.7e-005 1.00e+000 1.724027248e+002 1.724049487e+002 5.0e-010 26.36
67 7.7e-007 8.2e-003 5.2e-005 1.00e+000 1.724028848e+002 1.724048862e+002 4.5e-010 26.40
68 6.9e-007 8.1e-003 4.7e-005 1.00e+000 1.724030287e+002 1.724048300e+002 4.1e-010 26.44
69 6.2e-007 8.1e-003 4.2e-005 1.00e+000 1.724031582e+002 1.724047794e+002 3.7e-010 26.49
70 5.6e-007 8.0e-003 3.8e-005 1.00e+000 1.724032747e+002 1.724047338e+002 3.3e-010 26.52
71 5.0e-007 7.9e-003 3.4e-005 1.00e+000 1.724033796e+002 1.724046927e+002 3.0e-010 26.55
72 4.5e-007 7.9e-003 3.1e-005 1.00e+000 1.724034740e+002 1.724046558e+002 2.7e-010 26.58
73 4.1e-007 7.8e-003 2.7e-005 1.00e+000 1.724035589e+002 1.724046225e+002 2.4e-010 26.61
74 3.7e-007 7.8e-003 2.5e-005 1.00e+000 1.724036353e+002 1.724045926e+002 2.2e-010 26.65
75 3.3e-007 7.7e-003 2.2e-005 1.00e+000 1.724037041e+002 1.724045656e+002 1.9e-010 26.68
76 3.0e-007 7.7e-003 2.0e-005 1.00e+000 1.724037660e+002 1.724045414e+002 1.8e-010 26.71
77 2.7e-007 7.7e-003 1.8e-005 1.00e+000 1.724038217e+002 1.724045195e+002 1.6e-010 26.74
78 2.4e-007 7.6e-003 1.6e-005 1.00e+000 1.724038718e+002 1.724044998e+002 1.4e-010 26.77
79 2.2e-007 7.6e-003 1.5e-005 1.00e+000 1.724039169e+002 1.724044821e+002 1.3e-010 26.80
80 2.0e-007 7.6e-003 1.3e-005 1.00e+000 1.724039575e+002 1.724044662e+002 1.2e-010 26.83
81 1.8e-007 7.5e-003 1.2e-005 1.00e+000 1.724039940e+002 1.724044518e+002 1.0e-010 26.86
82 1.6e-007 7.5e-003 1.1e-005 1.00e+000 1.724040270e+002 1.724044388e+002 9.3e-011 26.90
83 1.4e-007 7.5e-003 9.6e-006 1.00e+000 1.724040565e+002 1.724044272e+002 8.4e-011 26.93
84 1.3e-007 7.5e-003 8.6e-006 1.00e+000 1.724040831e+002 1.724044167e+002 7.5e-011 26.96
85 1.2e-007 7.5e-003 7.8e-006 1.00e+000 1.724041071e+002 1.724044073e+002 6.8e-011 26.99
86 1.0e-007 7.4e-003 7.0e-006 1.00e+000 1.724041286e+002 1.724043988e+002 6.1e-011 27.02
87 9.4e-008 7.4e-003 6.3e-006 9.99e-001 1.724041480e+002 1.724043912e+002 5.5e-011 27.07
88 8.4e-008 7.4e-003 5.7e-006 1.00e+000 1.724041655e+002 1.724043843e+002 5.0e-011 27.10
89 7.6e-008 7.4e-003 5.1e-006 9.98e-001 1.724041812e+002 1.724043781e+002 4.5e-011 27.16
90 6.8e-008 7.4e-003 4.6e-006 1.00e+000 1.724041953e+002 1.724043726e+002 4.0e-011 27.19
91 6.1e-008 7.4e-003 4.1e-006 9.99e-001 1.724042080e+002 1.724043676e+002 3.6e-011 27.25
92 5.5e-008 6.6e-003 3.7e-006 1.01e+000 1.724042196e+002 1.724043630e+002 3.3e-011 27.29
93 5.0e-008 6.0e-003 3.3e-006 1.00e+000 1.724042299e+002 1.724043589e+002 2.9e-011 27.32
94 4.5e-008 5.4e-003 3.0e-006 9.99e-001 1.724042391e+002 1.724043553e+002 2.6e-011 27.35
95 4.0e-008 4.8e-003 2.7e-006 9.99e-001 1.724042475e+002 1.724043520e+002 2.4e-011 27.38
96 3.6e-008 4.3e-003 2.4e-006 1.00e+000 1.724042550e+002 1.724043490e+002 2.1e-011 27.41
97 3.3e-008 3.9e-003 2.2e-006 9.98e-001 1.724042617e+002 1.724043464e+002 1.9e-011 27.44
98 2.9e-008 3.5e-003 2.0e-006 1.00e+000 1.724042678e+002 1.724043439e+002 1.7e-011 27.47
99 2.6e-008 3.2e-003 1.8e-006 1.00e+000 1.724042734e+002 1.724043417e+002 1.6e-011 27.50
100 2.4e-008 2.8e-003 1.6e-006 1.00e+000 1.724042783e+002 1.724043398e+002 1.4e-011 27.53
101 2.1e-008 2.6e-003 1.4e-006 9.89e-001 1.724042827e+002 1.724043381e+002 1.3e-011 27.57
102 1.9e-008 2.3e-003 1.3e-006 1.01e+000 1.724042868e+002 1.724043364e+002 1.1e-011 27.60
103 1.7e-008 2.1e-003 1.2e-006 1.00e+000 1.724042904e+002 1.724043350e+002 1.0e-011 27.63
104 1.6e-008 1.9e-003 1.0e-006 1.01e+000 1.724042937e+002 1.724043336e+002 9.3e-012 27.66
105 3.9e-009 4.6e-004 2.6e-007 9.97e-001 1.724043153e+002 1.724043252e+002 2.3e-012 27.69
106 3.5e-009 4.2e-004 2.3e-007 9.99e-001 1.724043160e+002 1.724043249e+002 2.1e-012 29.03
107 1.6e-009 1.1e-004 6.0e-008 1.09e+000 1.724043207e+002 1.724043228e+002 4.9e-013 29.06
Interior-point optimizer terminated. Time: 29.06.
Optimizer terminated. Time: 29.44
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432069e+002 Viol. con: 4e-008 var: 0e+000
Dual. obj: 1.7240432282e+002 Viol. con: 0e+000 var: 7e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 29.5 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
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 : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.11 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+004 after factor : 1.46e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.3e+005 0.00e+000 -1.289209272e+005 2.000000000e+000 1.0e+000 0.14
1 1.1e+003 1.4e+003 6.1e+004 -9.71e-001 -1.267404388e+005 3.637047205e+000 4.8e-001 10.84
2 4.4e+002 5.7e+002 2.4e+004 -9.36e-001 -1.207993257e+005 1.004622000e+001 1.9e-001 11.26
3 2.9e+002 3.8e+002 1.6e+004 -8.43e-001 -1.160618629e+005 5.990662476e+001 1.3e-001 11.29
4 2.9e+002 3.8e+002 1.6e+004 -7.62e-001 -1.136045218e+005 2.136093212e+003 1.3e-001 11.33
5 8.1e+001 1.0e+002 4.5e+003 -7.56e-001 -7.752619101e+004 9.316590948e+003 3.5e-002 11.36
6 4.0e+001 5.2e+001 2.2e+003 -2.34e-001 -5.076741622e+004 1.003179895e+004 1.8e-002 11.39
7 3.0e+001 3.9e+001 1.7e+003 2.19e-001 -4.171035172e+004 8.294890069e+003 1.3e-002 11.42
8 1.9e+001 2.4e+001 1.0e+003 3.81e-001 -2.865140086e+004 5.387062710e+003 8.1e-003 11.47
9 7.9e+000 1.0e+001 4.4e+002 6.03e-001 -1.310596250e+004 3.143048078e+003 3.5e-003 11.50
10 4.0e+000 5.2e+000 2.2e+002 8.46e-001 -6.378100502e+003 2.128676941e+003 1.8e-003 11.53
11 2.2e+000 2.9e+000 1.3e+002 9.42e-001 -3.514552308e+003 1.314875473e+003 9.9e-004 11.56
12 9.1e-001 1.2e+000 5.1e+001 9.75e-001 -1.333952085e+003 6.456464672e+002 4.0e-004 11.59
13 8.2e-001 1.1e+000 4.6e+001 9.70e-001 -1.223648426e+003 5.999353564e+002 3.7e-004 11.62
14 5.9e-001 7.8e-001 3.3e+001 9.74e-001 -8.149793210e+002 4.893553902e+002 2.6e-004 11.70
15 2.2e-001 7.6e-001 1.2e+001 9.90e-001 -1.999796003e+002 2.844529990e+002 9.8e-005 11.75
16 1.1e-001 3.8e-001 6.1e+000 1.00e+000 -2.241218610e+001 2.161155123e+002 4.9e-005 11.78
17 7.7e-002 2.8e-001 4.5e+000 1.01e+000 2.681068603e+001 2.015603647e+002 3.6e-005 11.82
18 5.1e-002 2.0e-001 3.0e+000 1.02e+000 7.891998038e+001 1.950359026e+002 2.4e-005 11.86
19 1.4e-002 1.1e-001 8.5e-001 1.00e+000 1.414699305e+002 1.745815225e+002 6.9e-006 11.89
20 4.0e-003 2.2e-001 2.4e-001 1.02e+000 1.602704400e+002 1.696481256e+002 1.9e-006 11.92
21 2.7e-003 2.1e-001 1.6e-001 1.01e+000 1.624283903e+002 1.687369776e+002 1.3e-006 11.95
22 1.9e-003 1.5e-001 1.2e-001 1.00e+000 1.637169920e+002 1.683012350e+002 9.5e-007 12.00
23 7.5e-004 9.5e-002 4.7e-002 1.01e+000 1.658030179e+002 1.676006402e+002 3.8e-007 12.03
24 3.6e-004 7.9e-002 2.3e-002 1.01e+000 1.664694503e+002 1.673480759e+002 1.9e-007 12.11
25 3.3e-004 7.2e-002 2.1e-002 1.01e+000 1.665375677e+002 1.673287241e+002 1.7e-007 12.15
26 3.0e-004 6.6e-002 1.9e-002 1.01e+000 1.665946601e+002 1.673064415e+002 1.5e-007 12.18
27 2.7e-004 6.0e-002 1.7e-002 1.01e+000 1.666462472e+002 1.672866437e+002 1.4e-007 12.22
28 2.4e-004 5.5e-002 1.5e-002 1.01e+000 1.666924404e+002 1.672686268e+002 1.2e-007 12.25
29 2.2e-004 5.0e-002 1.4e-002 1.01e+000 1.667338883e+002 1.672523167e+002 1.1e-007 12.28
30 1.9e-004 4.6e-002 1.2e-002 1.01e+000 1.667710507e+002 1.672375221e+002 9.9e-008 12.31
31 1.7e-004 4.2e-002 1.1e-002 1.01e+000 1.668043719e+002 1.672241029e+002 8.9e-008 12.36
32 1.6e-004 3.8e-002 9.9e-003 1.01e+000 1.668342473e+002 1.672119292e+002 8.0e-008 12.39
33 1.4e-004 3.5e-002 8.9e-003 1.01e+000 1.668610332e+002 1.672008851e+002 7.2e-008 12.42
34 1.3e-004 3.3e-002 8.0e-003 1.01e+000 1.668850503e+002 1.671908669e+002 6.5e-008 12.45
35 1.1e-004 3.0e-002 7.2e-003 1.00e+000 1.669065870e+002 1.671817815e+002 5.8e-008 12.48
36 1.0e-004 2.8e-002 6.5e-003 1.00e+000 1.669259023e+002 1.671735447e+002 5.3e-008 12.51
37 9.3e-005 2.6e-002 5.8e-003 1.00e+000 1.669432283e+002 1.671660804e+002 4.7e-008 12.56
38 8.3e-005 2.4e-002 5.3e-003 1.00e+000 1.669587727e+002 1.671593187e+002 4.3e-008 12.59
39 7.5e-005 2.2e-002 4.7e-003 1.00e+000 1.669727211e+002 1.671531960e+002 3.8e-008 12.62
40 6.8e-005 2.1e-002 4.3e-003 1.00e+000 1.669852393e+002 1.671476536e+002 3.5e-008 12.65
41 6.1e-005 2.0e-002 3.8e-003 1.00e+000 1.669964756e+002 1.671426382e+002 3.1e-008 12.68
42 5.5e-005 1.8e-002 3.4e-003 1.00e+000 1.670065628e+002 1.671381010e+002 2.8e-008 12.71
43 4.9e-005 1.7e-002 3.1e-003 1.00e+000 1.670156194e+002 1.671339974e+002 2.5e-008 12.76
44 4.4e-005 1.6e-002 2.8e-003 1.00e+000 1.670237517e+002 1.671302872e+002 2.3e-008 12.79
45 4.0e-005 1.6e-002 2.5e-003 1.00e+000 1.670310551e+002 1.671269333e+002 2.0e-008 12.82
46 3.6e-005 1.5e-002 2.3e-003 1.00e+000 1.670376146e+002 1.671239022e+002 1.8e-008 15.93
47 3.2e-005 1.4e-002 2.0e-003 1.00e+000 1.670435068e+002 1.671211635e+002 1.7e-008 16.93
48 2.9e-005 1.4e-002 1.8e-003 1.00e+000 1.670488000e+002 1.671186895e+002 1.5e-008 16.97
49 2.6e-005 1.3e-002 1.7e-003 1.00e+000 1.670535556e+002 1.671164551e+002 1.3e-008 16.99
50 2.4e-005 1.3e-002 1.5e-003 1.00e+000 1.670578286e+002 1.671144374e+002 1.2e-008 17.02
51 2.1e-005 1.2e-002 1.3e-003 1.00e+000 1.670616684e+002 1.671126158e+002 1.1e-008 17.04
52 1.9e-005 1.2e-002 1.2e-003 1.00e+000 1.670651192e+002 1.671109714e+002 9.8e-009 17.82
53 1.7e-005 1.1e-002 1.1e-003 1.00e+000 1.670682206e+002 1.671094874e+002 8.8e-009 19.00
54 1.5e-005 1.1e-002 9.7e-004 1.00e+000 1.670710083e+002 1.671081482e+002 7.9e-009 20.62
55 1.4e-005 1.1e-002 8.8e-004 1.00e+000 1.670735141e+002 1.671069401e+002 7.1e-009 21.26
56 1.3e-005 1.0e-002 7.9e-004 1.00e+000 1.670757668e+002 1.671058502e+002 6.4e-009 21.29
57 1.1e-005 1.0e-002 7.1e-004 1.00e+000 1.670777920e+002 1.671048671e+002 5.8e-009 25.27
58 1.0e-005 1.0e-002 6.4e-004 1.00e+000 1.670796130e+002 1.671039806e+002 5.2e-009 27.82
59 9.1e-006 9.8e-003 5.8e-004 1.00e+000 1.670812503e+002 1.671031813e+002 4.7e-009 27.85
60 8.2e-006 9.6e-003 5.2e-004 1.00e+000 1.670827226e+002 1.671024606e+002 4.2e-009 27.89
61 7.4e-006 9.5e-003 4.7e-004 1.00e+000 1.670840466e+002 1.671018109e+002 3.8e-009 27.94
62 6.6e-006 9.3e-003 4.2e-004 1.00e+000 1.670852374e+002 1.671012253e+002 3.4e-009 27.99
63 6.0e-006 9.2e-003 3.8e-004 1.00e+000 1.670863084e+002 1.671006975e+002 3.1e-009 28.02
64 5.4e-006 9.1e-003 3.4e-004 1.00e+000 1.670872716e+002 1.671002220e+002 2.8e-009 28.13
65 2.0e-006 3.4e-003 1.3e-004 1.00e+000 1.670926177e+002 1.670975525e+002 1.1e-009 32.81
66 6.9e-007 1.2e-003 4.4e-005 1.00e+000 1.670947939e+002 1.670964644e+002 3.6e-010 32.84
67 6.2e-007 1.0e-003 3.9e-005 1.00e+000 1.670949083e+002 1.670964116e+002 3.2e-010 33.02
68 5.6e-007 9.4e-004 3.6e-005 1.00e+000 1.670950078e+002 1.670963608e+002 2.9e-010 33.43
69 5.0e-007 8.5e-004 3.2e-005 1.00e+000 1.670950976e+002 1.670963152e+002 2.6e-010 35.18
70 4.5e-007 7.6e-004 2.9e-005 1.00e+000 1.670951783e+002 1.670962742e+002 2.3e-010 35.21
71 4.1e-007 6.9e-004 2.6e-005 1.00e+000 1.670952509e+002 1.670962372e+002 2.1e-010 35.23
72 3.7e-007 6.2e-004 2.3e-005 1.00e+000 1.670953162e+002 1.670962039e+002 1.9e-010 35.26
73 3.3e-007 5.6e-004 2.1e-005 1.00e+000 1.670953750e+002 1.670961739e+002 1.7e-010 35.29
74 3.0e-007 5.0e-004 1.9e-005 9.98e-001 1.670954279e+002 1.670961469e+002 1.5e-010 35.30
75 2.7e-007 4.5e-004 1.7e-005 9.99e-001 1.670954754e+002 1.670961226e+002 1.4e-010 35.33
76 2.4e-007 4.1e-004 1.5e-005 1.00e+000 1.670955182e+002 1.670961007e+002 1.2e-010 35.37
77 2.2e-007 3.7e-004 1.4e-005 1.00e+000 1.670955567e+002 1.670960809e+002 1.1e-010 36.55
78 2.0e-007 3.3e-004 1.2e-005 1.00e+000 1.670955914e+002 1.670960631e+002 1.0e-010 38.69
79 1.8e-007 3.0e-004 1.1e-005 1.00e+000 1.670956225e+002 1.670960471e+002 9.1e-011 38.72
80 1.6e-007 2.7e-004 1.0e-005 1.01e+000 1.670956513e+002 1.670960322e+002 8.2e-011 38.73
81 1.4e-007 2.4e-004 9.0e-006 9.98e-001 1.670956764e+002 1.670960193e+002 7.4e-011 38.77
82 1.3e-007 2.2e-004 8.1e-006 9.98e-001 1.670956991e+002 1.670960077e+002 6.6e-011 39.08
83 1.2e-007 1.9e-004 7.3e-006 9.98e-001 1.670957194e+002 1.670959972e+002 6.0e-011 39.11
84 1.0e-007 1.7e-004 6.6e-006 9.99e-001 1.670957378e+002 1.670959878e+002 5.4e-011 39.14
85 9.3e-008 1.6e-004 5.9e-006 1.00e+000 1.670957545e+002 1.670959792e+002 4.8e-011 39.16
86 8.4e-008 1.4e-004 5.3e-006 9.95e-001 1.670957693e+002 1.670959716e+002 4.4e-011 39.19
87 7.6e-008 1.3e-004 4.8e-006 1.00e+000 1.670957827e+002 1.670959647e+002 3.9e-011 39.22
88 6.8e-008 1.1e-004 4.3e-006 9.99e-001 1.670957947e+002 1.670959585e+002 3.5e-011 39.23
89 6.1e-008 1.0e-004 3.9e-006 1.00e+000 1.670958055e+002 1.670959529e+002 3.2e-011 39.27
90 5.5e-008 9.3e-005 3.5e-006 1.00e+000 1.670958152e+002 1.670959479e+002 2.9e-011 42.07
91 5.0e-008 8.4e-005 3.1e-006 1.01e+000 1.670958241e+002 1.670959433e+002 2.6e-011 42.10
92 4.5e-008 7.5e-005 2.8e-006 9.96e-001 1.670958320e+002 1.670959393e+002 2.3e-011 42.49
93 4.0e-008 6.8e-005 2.6e-006 1.01e+000 1.670958392e+002 1.670959355e+002 2.1e-011 42.53
94 3.6e-008 6.1e-005 2.3e-006 1.01e+000 1.670958457e+002 1.670959322e+002 1.9e-011 42.54
95 3.3e-008 5.5e-005 2.1e-006 9.87e-001 1.670958514e+002 1.670959293e+002 1.7e-011 42.57
96 2.9e-008 4.9e-005 1.9e-006 1.02e+000 1.670958569e+002 1.670959264e+002 1.5e-011 42.60
97 2.6e-008 4.4e-005 1.7e-006 1.00e+000 1.670958615e+002 1.670959240e+002 1.4e-011 42.62
98 2.4e-008 4.0e-005 1.5e-006 9.90e-001 1.670958657e+002 1.670959219e+002 1.2e-011 42.65
99 2.1e-008 3.6e-005 1.4e-006 9.85e-001 1.670958694e+002 1.670959200e+002 1.1e-011 43.63
100 1.9e-008 3.2e-005 1.2e-006 1.00e+000 1.670958727e+002 1.670959183e+002 1.0e-011 43.79
101 1.7e-008 2.9e-005 1.1e-006 1.02e+000 1.670958760e+002 1.670959166e+002 9.2e-012 44.59
Interior-point optimizer terminated. Time: 44.59.
Optimizer terminated. Time: 45.15
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587595e+002 Viol. con: 3e-007 var: 0e+000
Dual. obj: 1.6709591657e+002 Viol. con: 0e+000 var: 2e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 45.2 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
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 : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 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 : 1.64e+004 after factor : 1.46e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.3e+005 0.00e+000 -1.286499298e+005 2.000000000e+000 1.0e+000 0.06
1 1.1e+003 1.4e+003 6.1e+004 -9.71e-001 -1.264834070e+005 3.586695459e+000 4.8e-001 2.64
2 4.3e+002 5.6e+002 2.4e+004 -9.36e-001 -1.204818408e+005 1.001252848e+001 1.9e-001 2.67
3 2.9e+002 3.7e+002 1.6e+004 -8.42e-001 -1.157492290e+005 6.085650026e+001 1.3e-001 2.71
4 2.9e+002 3.7e+002 1.6e+004 -7.62e-001 -1.131499801e+005 2.257752409e+003 1.3e-001 2.76
5 7.4e+001 9.6e+001 4.1e+003 -7.55e-001 -7.449024531e+004 9.842634816e+003 3.3e-002 2.81
6 3.6e+001 4.7e+001 2.0e+003 -1.90e-001 -4.726343637e+004 1.026281754e+004 1.6e-002 2.85
7 2.2e+001 2.9e+001 1.3e+003 2.77e-001 -3.297732368e+004 7.148457271e+003 9.9e-003 2.90
8 1.4e+001 1.7e+001 7.5e+002 5.32e-001 -2.145912604e+004 4.808154561e+003 6.0e-003 2.95
9 5.3e+000 6.9e+000 3.0e+002 7.21e-001 -8.768071331e+003 2.417293094e+003 2.4e-003 3.00
10 2.4e+000 3.1e+000 1.3e+002 9.13e-001 -3.743297179e+003 1.405438806e+003 1.1e-003 3.03
11 1.7e+000 2.3e+000 9.8e+001 9.75e-001 -2.706781588e+003 1.075294172e+003 7.8e-004 3.07
12 8.2e-001 1.1e+000 4.6e+001 9.83e-001 -1.189758903e+003 5.993134034e+002 3.7e-004 3.12
13 7.5e-001 1.1e+000 4.2e+001 9.48e-001 -1.109365058e+003 5.596607159e+002 3.4e-004 3.81
14 6.3e-001 8.8e-001 3.5e+001 9.86e-001 -8.799129318e+002 5.072308118e+002 2.8e-004 3.84
15 1.8e-001 2.8e-001 1.0e+001 9.89e-001 -1.584747265e+002 2.542000435e+002 8.4e-005 3.87
16 1.0e-001 1.7e-001 5.9e+000 1.01e+000 -1.976706329e+001 2.098853075e+002 4.7e-005 3.90
17 1.0e-001 1.7e-001 5.8e+000 1.02e+000 -1.809003552e+001 2.102290909e+002 4.7e-005 3.93
18 8.6e-002 1.5e-001 5.0e+000 1.02e+000 1.591142269e+001 2.106371379e+002 4.0e-005 3.96
19 4.3e-002 9.6e-002 2.5e+000 1.01e+000 9.060665778e+001 1.877232502e+002 2.0e-005 3.99
20 1.2e-002 1.9e-001 6.8e-001 1.01e+000 1.471514326e+002 1.733932176e+002 5.5e-006 4.87
21 4.3e-003 3.5e-001 2.6e-001 1.01e+000 1.590241465e+002 1.689639028e+002 2.1e-006 6.74
22 1.2e-003 1.7e-001 7.5e-002 1.01e+000 1.645644283e+002 1.674296323e+002 6.1e-007 6.77
23 6.7e-004 1.2e-001 4.2e-002 9.81e-001 1.654780087e+002 1.670872120e+002 3.5e-007 7.67
24 2.0e-004 1.1e-001 1.3e-002 9.95e-001 1.662934686e+002 1.667797884e+002 1.1e-007 9.03
25 6.2e-005 1.1e-001 4.1e-003 1.01e+000 1.665280746e+002 1.666838867e+002 3.5e-008 9.13
26 2.0e-005 1.1e-001 1.4e-003 1.01e+000 1.666013454e+002 1.666531216e+002 1.2e-008 9.16
27 6.5e-006 1.1e-001 4.4e-004 1.00e+000 1.666261919e+002 1.666427292e+002 3.8e-009 9.20
28 2.2e-006 1.0e-001 1.5e-004 1.00e+000 1.666337607e+002 1.666395176e+002 1.3e-009 9.22
29 7.7e-007 9.7e-002 5.3e-005 1.00e+000 1.666363785e+002 1.666383685e+002 4.5e-010 9.25
30 3.4e-007 8.2e-002 2.3e-005 1.00e+000 1.666371514e+002 1.666380164e+002 2.0e-010 9.28
31 7.3e-008 1.8e-002 5.0e-006 9.99e-001 1.666376165e+002 1.666378051e+002 4.3e-011 10.05
32 6.6e-008 1.6e-002 4.5e-006 1.00e+000 1.666376305e+002 1.666378004e+002 3.9e-011 15.30
33 5.9e-008 1.6e-002 4.1e-006 1.00e+000 1.666376421e+002 1.666377949e+002 3.5e-011 15.33
34 5.3e-008 1.5e-002 3.7e-006 9.99e-001 1.666376524e+002 1.666377900e+002 3.2e-011 15.37
35 4.8e-008 1.4e-002 3.3e-006 1.02e+000 1.666376625e+002 1.666377851e+002 2.9e-011 15.40
36 4.3e-008 1.3e-002 3.0e-006 1.00e+000 1.666376708e+002 1.666377812e+002 2.6e-011 16.83
37 3.9e-008 1.3e-002 2.7e-006 1.01e+000 1.666376787e+002 1.666377775e+002 2.3e-011 17.75
38 3.5e-008 1.2e-002 2.4e-006 1.00e+000 1.666376854e+002 1.666377743e+002 2.1e-011 17.78
39 3.1e-008 1.2e-002 2.2e-006 9.82e-001 1.666376914e+002 1.666377715e+002 1.9e-011 18.11
40 2.8e-008 1.1e-002 1.9e-006 9.89e-001 1.666376968e+002 1.666377690e+002 1.7e-011 18.14
41 2.6e-008 1.1e-002 1.8e-006 9.96e-001 1.666377017e+002 1.666377666e+002 1.5e-011 18.30
42 2.3e-008 1.1e-002 1.6e-006 9.98e-001 1.666377061e+002 1.666377646e+002 1.4e-011 18.42
43 2.1e-008 1.0e-002 1.4e-006 1.01e+000 1.666377103e+002 1.666377626e+002 1.2e-011 18.49
44 1.9e-008 1.0e-002 1.3e-006 9.96e-001 1.666377138e+002 1.666377609e+002 1.1e-011 19.03
45 1.7e-008 9.9e-003 1.1e-006 9.83e-001 1.666377170e+002 1.666377594e+002 1.0e-011 19.06
46 1.5e-008 9.6e-003 1.0e-006 9.72e-001 1.666377199e+002 1.666377581e+002 9.1e-012 19.19
47 1.4e-008 9.3e-003 9.3e-007 9.60e-001 1.666377225e+002 1.666377569e+002 8.2e-012 22.17
48 1.2e-008 9.1e-003 8.4e-007 9.75e-001 1.666377248e+002 1.666377558e+002 7.4e-012 22.20
49 1.1e-008 8.8e-003 7.5e-007 9.44e-001 1.666377269e+002 1.666377549e+002 6.6e-012 22.23
50 9.9e-009 7.9e-003 6.8e-007 1.06e+000 1.666377293e+002 1.666377536e+002 6.1e-012 22.26
51 8.9e-009 7.1e-003 6.1e-007 1.03e+000 1.666377311e+002 1.666377527e+002 5.6e-012 22.29
52 8.0e-009 7.0e-003 5.5e-007 9.35e-001 1.666377326e+002 1.666377521e+002 5.0e-012 22.32
53 7.2e-009 6.3e-003 4.9e-007 9.78e-001 1.666377339e+002 1.666377515e+002 4.5e-012 22.36
54 6.5e-009 5.7e-003 4.4e-007 9.76e-001 1.666377351e+002 1.666377509e+002 4.1e-012 22.37
55 5.9e-009 5.1e-003 4.0e-007 9.58e-001 1.666377361e+002 1.666377504e+002 3.7e-012 22.40
56 5.4e-009 4.6e-003 3.6e-007 1.07e+000 1.666377374e+002 1.666377498e+002 3.4e-012 22.43
57 4.9e-009 4.2e-003 3.2e-007 1.15e+000 1.666377388e+002 1.666377490e+002 3.3e-012 22.45
58 3.7e-009 4.6e-004 3.6e-008 1.01e+000 1.666377450e+002 1.666377461e+002 3.6e-013 22.48
Interior-point optimizer terminated. Time: 22.50.
Optimizer terminated. Time: 22.54
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774497e+002 Viol. con: 6e-008 var: 0e+000
Dual. obj: 1.6663774610e+002 Viol. con: 0e+000 var: 3e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 22.6 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.02
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 : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 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 : 1.64e+004 after factor : 1.46e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.3e+005 0.00e+000 -1.286106749e+005 2.000000000e+000 1.0e+000 0.09
1 1.1e+003 1.4e+003 6.1e+004 -9.71e-001 -1.264422994e+005 3.580364434e+000 4.8e-001 0.28
2 4.3e+002 5.5e+002 2.4e+004 -9.36e-001 -1.203332210e+005 1.010636974e+001 1.9e-001 0.33
3 2.9e+002 3.7e+002 1.6e+004 -8.40e-001 -1.156664723e+005 6.247813105e+001 1.3e-001 0.39
4 2.9e+002 3.7e+002 1.6e+004 -7.61e-001 -1.130152819e+005 2.295884513e+003 1.3e-001 0.62
5 7.3e+001 9.4e+001 4.1e+003 -7.54e-001 -7.379607553e+004 9.860976385e+003 3.2e-002 0.81
6 3.6e+001 4.6e+001 2.0e+003 -1.80e-001 -4.641914947e+004 1.009611136e+004 1.6e-002 0.83
7 2.1e+001 2.7e+001 1.2e+003 2.91e-001 -3.097462627e+004 6.886200415e+003 9.2e-003 0.86
8 1.2e+001 1.6e+001 6.8e+002 5.65e-001 -1.945483091e+004 4.491366738e+003 5.4e-003 1.22
9 4.7e+000 6.1e+000 2.6e+002 7.53e-001 -7.765132459e+003 2.180672390e+003 2.1e-003 1.25
10 2.3e+000 3.0e+000 1.3e+002 9.26e-001 -3.530360625e+003 1.395527069e+003 1.0e-003 1.29
11 1.5e+000 1.9e+000 8.5e+001 9.77e-001 -2.301312772e+003 9.721187049e+002 6.7e-004 2.11
12 8.5e-001 1.1e+000 4.8e+001 9.85e-001 -1.230529619e+003 6.224921442e+002 3.8e-004 2.36
13 7.5e-001 1.0e+000 4.2e+001 9.54e-001 -1.093828867e+003 5.630523034e+002 3.4e-004 2.39
14 3.7e-001 5.0e-001 2.1e+001 9.85e-001 -4.359023247e+002 3.737960010e+002 1.6e-004 2.43
15 1.8e-001 2.5e-001 1.0e+001 9.98e-001 -1.439999747e+002 2.585349786e+002 8.2e-005 2.46
16 8.9e-002 1.6e-001 5.1e+000 1.01e+000 4.979929887e+000 2.043016170e+002 4.1e-005 2.50
17 8.6e-002 1.5e-001 4.9e+000 1.01e+000 1.398830030e+001 2.065700137e+002 4.0e-005 2.54
18 6.1e-002 1.1e-001 3.5e+000 1.01e+000 5.949237641e+001 1.948373517e+002 2.8e-005 2.57
19 3.0e-002 7.3e-002 1.7e+000 1.01e+000 1.152799512e+002 1.809927384e+002 1.4e-005 2.70
20 8.5e-003 1.8e-001 4.9e-001 1.01e+000 1.525612791e+002 1.716191868e+002 4.0e-006 2.75
21 2.5e-003 1.8e-001 1.5e-001 1.00e+000 1.622331042e+002 1.679611335e+002 1.2e-006 2.78
22 1.5e-003 1.2e-001 9.0e-002 1.00e+000 1.639702728e+002 1.674409683e+002 7.3e-007 2.86
23 5.1e-004 1.0e-001 3.2e-002 1.01e+000 1.656550204e+002 1.668671090e+002 2.6e-007 2.89
24 2.0e-004 9.6e-002 1.2e-002 1.01e+000 1.661959827e+002 1.666660319e+002 1.0e-007 3.43
25 1.8e-004 8.7e-002 1.1e-002 1.01e+000 1.662326111e+002 1.666555338e+002 9.2e-008 3.48
26 1.6e-004 7.9e-002 1.0e-002 1.01e+000 1.662628656e+002 1.666433541e+002 8.3e-008 3.51
27 1.4e-004 7.2e-002 9.0e-003 1.01e+000 1.662902762e+002 1.666326030e+002 7.5e-008 3.62
28 1.3e-004 6.6e-002 8.1e-003 1.01e+000 1.663148197e+002 1.666228203e+002 6.7e-008 3.70
29 1.2e-004 6.0e-002 7.3e-003 1.01e+000 1.663368460e+002 1.666139694e+002 6.0e-008 3.76
30 1.0e-004 5.5e-002 6.5e-003 1.01e+000 1.663566074e+002 1.666059551e+002 5.4e-008 3.96
31 9.4e-005 5.0e-002 5.9e-003 1.01e+000 1.663743388e+002 1.665986997e+002 4.9e-008 3.98
32 8.5e-005 4.6e-002 5.3e-003 1.01e+000 1.663902493e+002 1.665921318e+002 4.4e-008 6.83
33 7.6e-005 4.2e-002 4.8e-003 1.01e+000 1.664045272e+002 1.665861869e+002 4.0e-008 7.75
34 6.9e-005 3.8e-002 4.3e-003 1.01e+000 1.664173411e+002 1.665808069e+002 3.6e-008 7.82
35 6.2e-005 3.5e-002 3.9e-003 1.01e+000 1.664288423e+002 1.665759390e+002 3.2e-008 12.40
36 5.5e-005 3.3e-002 3.5e-003 1.00e+000 1.664391665e+002 1.665715354e+002 2.9e-008 12.57
37 5.0e-005 3.0e-002 3.1e-003 1.00e+000 1.664484352e+002 1.665675526e+002 2.6e-008 12.64
38 4.5e-005 2.8e-002 2.8e-003 1.00e+000 1.664567573e+002 1.665639511e+002 2.3e-008 12.70
39 4.0e-005 2.6e-002 2.5e-003 1.00e+000 1.664642301e+002 1.665606952e+002 2.1e-008 12.92
40 3.6e-005 2.4e-002 2.3e-003 1.00e+000 1.664709411e+002 1.665577523e+002 1.9e-008 14.07
41 3.3e-005 2.2e-002 2.1e-003 1.00e+000 1.664769686e+002 1.665550927e+002 1.7e-008 14.10
42 2.9e-005 2.1e-002 1.9e-003 1.00e+000 1.664823827e+002 1.665526898e+002 1.5e-008 14.13
43 2.7e-005 2.0e-002 1.7e-003 1.00e+000 1.664872463e+002 1.665505190e+002 1.4e-008 14.18
44 2.4e-005 1.8e-002 1.5e-003 1.00e+000 1.664916159e+002 1.665485585e+002 1.2e-008 14.21
45 2.1e-005 1.7e-002 1.3e-003 1.00e+000 1.664955420e+002 1.665467881e+002 1.1e-008 14.24
46 1.9e-005 1.6e-002 1.2e-003 1.00e+000 1.664990701e+002 1.665451897e+002 1.0e-008 14.29
47 1.7e-005 1.6e-002 1.1e-003 1.00e+000 1.665022407e+002 1.665437471e+002 9.1e-009 15.57
48 1.6e-005 1.5e-002 9.8e-004 1.00e+000 1.665050904e+002 1.665424452e+002 8.2e-009 17.18
49 1.4e-005 1.4e-002 8.9e-004 1.00e+000 1.665076520e+002 1.665412706e+002 7.4e-009 17.21
50 1.3e-005 1.3e-002 8.0e-004 1.00e+000 1.665099549e+002 1.665402110e+002 6.6e-009 17.24
51 1.1e-005 1.3e-002 7.2e-004 1.00e+000 1.665120254e+002 1.665392555e+002 6.0e-009 17.27
52 1.0e-005 1.2e-002 6.5e-004 1.00e+000 1.665138872e+002 1.665383940e+002 5.4e-009 17.30
53 9.3e-006 1.2e-002 5.8e-004 1.00e+000 1.665155614e+002 1.665376173e+002 4.8e-009 17.33
54 8.3e-006 1.2e-002 5.2e-004 1.00e+000 1.665170671e+002 1.665369173e+002 4.4e-009 19.08
55 7.5e-006 1.1e-002 4.7e-004 1.00e+000 1.665184213e+002 1.665362864e+002 3.9e-009 19.11
56 6.7e-006 1.1e-002 4.2e-004 1.00e+000 1.665196394e+002 1.665357179e+002 3.5e-009 19.14
57 6.1e-006 1.1e-002 3.8e-004 1.00e+000 1.665207350e+002 1.665352057e+002 3.2e-009 19.17
58 5.5e-006 1.0e-002 3.4e-004 1.00e+000 1.665217205e+002 1.665347442e+002 2.9e-009 19.20
59 4.9e-006 1.0e-002 3.1e-004 1.00e+000 1.665226071e+002 1.665343284e+002 2.6e-009 19.23
60 4.4e-006 9.9e-003 2.8e-004 1.00e+000 1.665234045e+002 1.665339538e+002 2.3e-009 19.84
61 4.0e-006 9.7e-003 2.5e-004 1.00e+000 1.665241219e+002 1.665336162e+002 2.1e-009 19.87
62 3.6e-006 9.5e-003 2.3e-004 1.00e+000 1.665247671e+002 1.665333120e+002 1.9e-009 19.91
63 3.2e-006 9.4e-003 2.0e-004 1.00e+000 1.665253474e+002 1.665330379e+002 1.7e-009 19.94
64 2.9e-006 9.2e-003 1.8e-004 1.00e+000 1.665258694e+002 1.665327908e+002 1.5e-009 19.95
65 2.6e-006 9.1e-003 1.6e-004 1.00e+000 1.665263388e+002 1.665325683e+002 1.4e-009 19.98
66 2.4e-006 9.0e-003 1.5e-004 1.00e+000 1.665267611e+002 1.665323677e+002 1.2e-009 20.16
67 2.1e-006 8.9e-003 1.3e-004 1.00e+000 1.665271410e+002 1.665321870e+002 1.1e-009 20.17
68 1.9e-006 8.8e-003 1.2e-004 1.00e+000 1.665274828e+002 1.665320242e+002 1.0e-009 20.20
69 1.7e-006 8.7e-003 1.1e-004 1.00e+000 1.665277903e+002 1.665318775e+002 9.0e-010 20.23
70 1.5e-006 8.6e-003 9.7e-005 1.00e+000 1.665280669e+002 1.665317454e+002 8.1e-010 20.26
71 1.4e-006 8.6e-003 8.7e-005 1.00e+000 1.665283157e+002 1.665316264e+002 7.3e-010 20.30
72 1.3e-006 8.5e-003 7.9e-005 1.00e+000 1.665285395e+002 1.665315192e+002 6.5e-010 20.33
73 1.1e-006 8.5e-003 7.1e-005 1.00e+000 1.665287409e+002 1.665314225e+002 5.9e-010 20.36
74 1.0e-006 8.4e-003 6.4e-005 1.00e+000 1.665289221e+002 1.665313355e+002 5.3e-010 20.39
75 9.1e-007 8.4e-003 5.7e-005 1.00e+000 1.665290850e+002 1.665312572e+002 4.8e-010 20.41
76 8.2e-007 8.3e-003 5.2e-005 1.00e+000 1.665292315e+002 1.665311866e+002 4.3e-010 20.44
77 7.4e-007 8.3e-003 4.6e-005 1.00e+000 1.665293634e+002 1.665311229e+002 3.9e-010 20.47
78 6.6e-007 8.2e-003 4.2e-005 9.99e-001 1.665294819e+002 1.665310656e+002 3.5e-010 20.50
79 6.0e-007 8.2e-003 3.8e-005 1.00e+000 1.665295885e+002 1.665310138e+002 3.1e-010 20.51
80 5.4e-007 8.2e-003 3.4e-005 1.00e+000 1.665296845e+002 1.665309672e+002 2.8e-010 20.55
81 4.8e-007 8.1e-003 3.0e-005 1.00e+000 1.665297707e+002 1.665309252e+002 2.5e-010 20.58
82 4.4e-007 8.1e-003 2.7e-005 1.00e+000 1.665298482e+002 1.665308872e+002 2.3e-010 20.61
83 3.9e-007 8.1e-003 2.5e-005 9.99e-001 1.665299180e+002 1.665308531e+002 2.1e-010 20.62
84 3.5e-007 8.0e-003 2.2e-005 1.00e+000 1.665299807e+002 1.665308223e+002 1.8e-010 20.65
85 3.2e-007 8.0e-003 2.0e-005 1.00e+000 1.665300371e+002 1.665307945e+002 1.7e-010 20.69
86 2.9e-007 8.0e-003 1.8e-005 1.00e+000 1.665300878e+002 1.665307695e+002 1.5e-010 23.56
87 2.6e-007 8.0e-003 1.6e-005 9.99e-001 1.665301334e+002 1.665307470e+002 1.3e-010 23.70
88 2.3e-007 7.9e-003 1.5e-005 9.99e-001 1.665301745e+002 1.665307267e+002 1.2e-010 23.73
89 2.1e-007 7.9e-003 1.3e-005 1.00e+000 1.665302114e+002 1.665307083e+002 1.1e-010 23.74
90 1.9e-007 7.9e-003 1.2e-005 1.00e+000 1.665302446e+002 1.665306918e+002 9.8e-011 23.77
91 1.7e-007 7.9e-003 1.1e-005 9.91e-001 1.665302745e+002 1.665306771e+002 8.8e-011 23.81
92 1.5e-007 7.1e-003 9.6e-006 1.00e+000 1.665303015e+002 1.665306636e+002 8.0e-011 23.82
93 1.4e-007 6.4e-003 8.6e-006 1.00e+000 1.665303257e+002 1.665306515e+002 7.2e-011 23.85
94 1.2e-007 5.7e-003 7.7e-006 9.88e-001 1.665303474e+002 1.665306408e+002 6.5e-011 23.87
95 1.1e-007 5.2e-003 7.0e-006 1.00e+000 1.665303670e+002 1.665306310e+002 5.8e-011 23.90
96 1.0e-007 4.6e-003 6.3e-006 9.91e-001 1.665303846e+002 1.665306223e+002 5.2e-011 24.74
97 9.0e-008 4.2e-003 5.6e-006 9.95e-001 1.665304004e+002 1.665306145e+002 4.7e-011 24.80
98 8.1e-008 3.8e-003 5.1e-006 1.00e+000 1.665304147e+002 1.665306073e+002 4.2e-011 25.10
99 7.3e-008 3.4e-003 4.6e-006 1.00e+000 1.665304276e+002 1.665306008e+002 3.8e-011 25.16
100 6.5e-008 3.0e-003 4.1e-006 9.90e-001 1.665304391e+002 1.665305951e+002 3.4e-011 25.23
101 5.9e-008 2.7e-003 3.7e-006 1.00e+000 1.665304495e+002 1.665305899e+002 3.1e-011 25.55
102 5.3e-008 2.5e-003 3.3e-006 9.94e-001 1.665304589e+002 1.665305852e+002 2.8e-011 25.66
103 4.8e-008 2.2e-003 3.0e-006 1.01e+000 1.665304677e+002 1.665305808e+002 2.5e-011 26.05
104 4.3e-008 2.0e-003 2.7e-006 9.85e-001 1.665304752e+002 1.665305771e+002 2.3e-011 26.18
105 3.9e-008 1.8e-003 2.4e-006 1.01e+000 1.665304823e+002 1.665305735e+002 2.0e-011 26.24
106 3.5e-008 1.6e-003 2.2e-006 9.97e-001 1.665304883e+002 1.665305704e+002 1.8e-011 26.33
107 3.1e-008 1.5e-003 2.0e-006 9.98e-001 1.665304938e+002 1.665305677e+002 1.7e-011 27.38
108 2.8e-008 1.3e-003 1.8e-006 9.74e-001 1.665304987e+002 1.665305653e+002 1.5e-011 28.81
109 2.5e-008 1.2e-003 1.6e-006 1.02e+000 1.665305035e+002 1.665305628e+002 1.4e-011 29.48
110 2.3e-008 1.1e-003 1.4e-006 1.04e+000 1.665305081e+002 1.665305604e+002 1.2e-011 29.78
111 2.1e-008 9.6e-004 1.3e-006 1.00e+000 1.665305116e+002 1.665305587e+002 1.1e-011 29.80
112 1.9e-008 8.6e-004 1.2e-006 1.04e+000 1.665305154e+002 1.665305568e+002 1.0e-011 29.83
113 1.7e-008 7.7e-004 1.0e-006 9.79e-001 1.665305181e+002 1.665305554e+002 9.2e-012 29.86
114 1.5e-008 7.0e-004 9.4e-007 1.01e+000 1.665305207e+002 1.665305541e+002 8.3e-012 29.89
115 1.4e-008 6.3e-004 8.5e-007 9.47e-001 1.665305229e+002 1.665305531e+002 7.5e-012 29.91
116 1.2e-008 5.6e-004 7.6e-007 1.06e+000 1.665305255e+002 1.665305517e+002 7.0e-012 29.94
117 1.1e-008 5.1e-004 6.9e-007 1.05e+000 1.665305276e+002 1.665305506e+002 6.4e-012 29.97
118 1.0e-008 4.6e-004 6.2e-007 1.04e+000 1.665305294e+002 1.665305497e+002 5.9e-012 30.00
119 9.0e-009 4.1e-004 5.6e-007 8.87e-001 1.665305308e+002 1.665305491e+002 5.3e-012 30.03
120 8.1e-009 3.7e-004 5.0e-007 9.47e-001 1.665305320e+002 1.665305485e+002 4.8e-012 30.05
121 7.3e-009 3.3e-004 4.5e-007 9.56e-001 1.665305331e+002 1.665305480e+002 4.3e-012 30.08
122 6.6e-009 3.0e-004 4.1e-007 9.49e-001 1.665305340e+002 1.665305475e+002 3.9e-012 30.22
123 6.1e-009 2.7e-004 3.6e-007 1.20e+000 1.665305358e+002 1.665305465e+002 3.8e-012 30.25
124 5.5e-009 2.4e-004 3.3e-007 1.04e+000 1.665305367e+002 1.665305461e+002 3.5e-012 30.26
125 4.9e-009 2.2e-004 3.0e-007 1.44e+000 1.665305373e+002 1.665305456e+002 3.2e-012 30.31
126 4.5e-009 2.0e-004 2.7e-007 1.11e+000 1.665305382e+002 1.665305452e+002 3.0e-012 30.33
127 4.0e-009 1.8e-004 2.4e-007 8.93e-001 1.665305387e+002 1.665305450e+002 2.7e-012 30.36
128 3.6e-009 1.6e-004 2.2e-007 1.00e+000 1.665305391e+002 1.665305448e+002 2.4e-012 30.39
129 1.2e-009 8.8e-006 1.2e-008 1.00e+000 1.665305428e+002 1.665305431e+002 1.4e-013 30.41
Interior-point optimizer terminated. Time: 30.42.
Optimizer terminated. Time: 30.95
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054279e+002 Viol. con: 3e-008 var: 0e+000
Dual. obj: 1.6653054311e+002 Viol. con: 0e+000 var: 4e-005
* End solution on dual form. *
Transforming to primal solution.
Solving took 31 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
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 : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.09 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.06
Factor - nonzeros before factor : 1.64e+004 after factor : 1.46e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.3e+005 0.00e+000 -1.286069766e+005 2.000000000e+000 1.0e+000 0.14
1 1.1e+003 1.4e+003 6.1e+004 -9.71e-001 -1.264280191e+005 3.575761763e+000 4.8e-001 0.33
2 4.3e+002 5.5e+002 2.4e+004 -9.36e-001 -1.202642601e+005 1.018055878e+001 1.9e-001 0.55
3 2.9e+002 3.7e+002 1.6e+004 -8.40e-001 -1.155864704e+005 6.348057053e+001 1.2e-001 0.56
4 2.8e+002 3.7e+002 1.6e+004 -7.60e-001 -1.129604571e+005 2.275516467e+003 1.2e-001 0.59
5 7.5e+001 9.6e+001 4.2e+003 -7.53e-001 -7.467567625e+004 9.661823582e+003 3.3e-002 0.64
6 3.3e+001 4.2e+001 1.8e+003 -1.93e-001 -4.344559193e+004 1.030574772e+004 1.4e-002 0.66
7 1.9e+001 2.5e+001 1.1e+003 3.43e-001 -2.866891399e+004 6.921960299e+003 8.5e-003 0.69
8 1.1e+001 1.5e+001 6.3e+002 6.05e-001 -1.820600681e+004 4.395207374e+003 5.0e-003 0.70
9 4.5e+000 5.8e+000 2.5e+002 7.73e-001 -7.371174405e+003 2.103310984e+003 2.0e-003 0.73
10 2.1e+000 2.7e+000 1.2e+002 9.30e-001 -3.214999569e+003 1.325825849e+003 9.3e-004 0.83
11 1.3e+000 1.7e+000 7.5e+001 9.81e-001 -2.014777989e+003 8.899307551e+002 6.0e-004 0.84
12 8.1e-001 1.0e+000 4.5e+001 9.84e-001 -1.165876647e+003 6.060244099e+002 3.6e-004 0.87
13 6.4e-001 8.5e-001 3.6e+001 9.55e-001 -9.120648188e+002 5.060792166e+002 2.9e-004 0.90
14 3.6e-001 4.9e-001 2.0e+001 9.93e-001 -4.191578437e+002 3.802503093e+002 1.6e-004 0.94
15 1.8e-001 2.4e-001 1.0e+001 9.93e-001 -1.346763157e+002 2.582550548e+002 8.0e-005 0.97
16 7.9e-002 1.4e-001 4.6e+000 1.01e+000 2.126577451e+001 1.996187094e+002 3.7e-005 0.98
17 6.8e-002 1.2e-001 3.9e+000 1.02e+000 4.474435652e+001 1.978737545e+002 3.2e-005 1.01
18 2.8e-002 7.4e-002 1.6e+000 1.02e+000 1.178017145e+002 1.806433932e+002 1.3e-005 1.04
19 8.1e-003 2.0e-001 4.7e-001 1.01e+000 1.531897846e+002 1.714405116e+002 3.8e-006 1.08
20 2.9e-003 2.3e-001 1.7e-001 1.00e+000 1.613917212e+002 1.680580764e+002 1.4e-006 1.11
21 1.7e-003 1.4e-001 1.0e-001 1.01e+000 1.635875265e+002 1.674596946e+002 8.2e-007 2.00
22 5.0e-004 1.2e-001 3.1e-002 1.01e+000 1.656228757e+002 1.668056607e+002 2.5e-007 2.03
23 1.9e-004 1.0e-001 1.2e-002 1.01e+000 1.661601920e+002 1.666051240e+002 9.8e-008 2.04
24 8.5e-005 8.7e-002 5.4e-003 1.01e+000 1.663313488e+002 1.665357372e+002 4.5e-008 2.07
25 3.9e-005 7.9e-002 2.5e-003 1.01e+000 1.664099058e+002 1.665032887e+002 2.1e-008 2.11
26 3.5e-005 7.2e-002 2.2e-003 1.01e+000 1.664180452e+002 1.665021142e+002 1.9e-008 2.14
27 3.1e-005 6.6e-002 2.0e-003 1.01e+000 1.664237575e+002 1.664993908e+002 1.7e-008 2.17
28 2.8e-005 6.0e-002 1.8e-003 1.01e+000 1.664290270e+002 1.664970824e+002 1.5e-008 2.18
29 2.5e-005 5.5e-002 1.6e-003 1.01e+000 1.664337417e+002 1.664949788e+002 1.4e-008 2.21
30 2.3e-005 5.0e-002 1.5e-003 1.01e+000 1.664379796e+002 1.664930828e+002 1.2e-008 2.25
31 2.1e-005 4.6e-002 1.3e-003 1.00e+000 1.664417861e+002 1.664913707e+002 1.1e-008 2.29
32 1.8e-005 4.2e-002 1.2e-003 1.00e+000 1.664452061e+002 1.664898255e+002 1.0e-008 2.31
33 1.7e-005 3.9e-002 1.1e-003 1.00e+000 1.664482791e+002 1.664884309e+002 9.0e-009 2.36
34 1.5e-005 3.6e-002 9.6e-004 1.00e+000 1.664510406e+002 1.664871727e+002 8.1e-009 2.37
35 1.3e-005 3.3e-002 8.6e-004 1.00e+000 1.664535225e+002 1.664860377e+002 7.3e-009 2.40
36 1.2e-005 3.0e-002 7.8e-004 1.00e+000 1.664557532e+002 1.664850140e+002 6.5e-009 2.43
37 1.1e-005 2.8e-002 7.0e-004 1.00e+000 1.664577585e+002 1.664840909e+002 5.9e-009 2.53
38 9.8e-006 2.6e-002 6.3e-004 1.00e+000 1.664595613e+002 1.664832585e+002 5.3e-009 2.54
39 8.8e-006 2.4e-002 5.7e-004 1.00e+000 1.664611822e+002 1.664825081e+002 4.8e-009 2.57
40 8.0e-006 2.3e-002 5.1e-004 1.00e+000 1.664626397e+002 1.664818318e+002 4.3e-009 2.61
41 7.2e-006 2.1e-002 4.6e-004 1.00e+000 1.664639504e+002 1.664812223e+002 3.9e-009 2.64
42 6.4e-006 2.0e-002 4.1e-004 1.00e+000 1.664651291e+002 1.664806731e+002 3.5e-009 2.67
43 5.8e-006 1.9e-002 3.7e-004 1.00e+000 1.664661893e+002 1.664801783e+002 3.1e-009 2.70
44 5.2e-006 1.7e-002 3.3e-004 1.00e+000 1.664671430e+002 1.664797325e+002 2.8e-009 2.73
45 4.7e-006 1.6e-002 3.0e-004 1.00e+000 1.664680007e+002 1.664793310e+002 2.5e-009 2.75
46 4.2e-006 1.6e-002 2.7e-004 1.00e+000 1.664687724e+002 1.664789693e+002 2.3e-009 2.78
47 3.8e-006 1.5e-002 2.4e-004 1.00e+000 1.664694665e+002 1.664786435e+002 2.1e-009 2.81
48 3.4e-006 1.4e-002 2.2e-004 1.00e+000 1.664700909e+002 1.664783500e+002 1.8e-009 2.82
49 3.1e-006 1.3e-002 2.0e-004 1.00e+000 1.664706526e+002 1.664780857e+002 1.7e-009 2.85
50 2.8e-006 1.3e-002 1.8e-004 1.00e+000 1.664711579e+002 1.664778476e+002 1.5e-009 2.89
51 2.5e-006 1.2e-002 1.6e-004 1.00e+000 1.664716125e+002 1.664776332e+002 1.3e-009 2.90
52 2.2e-006 1.2e-002 1.4e-004 1.00e+000 1.664720216e+002 1.664774402e+002 1.2e-009 2.93
53 2.0e-006 1.1e-002 1.3e-004 1.00e+000 1.664723897e+002 1.664772664e+002 1.1e-009 2.95
54 1.8e-006 1.1e-002 1.2e-004 1.00e+000 1.664727210e+002 1.664771100e+002 9.8e-010 2.98
55 1.6e-006 1.1e-002 1.0e-004 1.00e+000 1.664730191e+002 1.664769692e+002 8.9e-010 3.00
56 1.5e-006 1.0e-002 9.4e-005 1.00e+000 1.664732873e+002 1.664768424e+002 8.0e-010 3.34
57 1.3e-006 1.0e-002 8.5e-005 1.00e+000 1.664735288e+002 1.664767284e+002 7.2e-010 3.37
58 1.2e-006 9.9e-003 7.6e-005 1.00e+000 1.664737460e+002 1.664766257e+002 6.5e-010 3.42
59 1.1e-006 9.6e-003 6.9e-005 1.00e+000 1.664739416e+002 1.664765332e+002 5.8e-010 3.43
60 9.7e-007 9.4e-003 6.2e-005 1.00e+000 1.664741175e+002 1.664764501e+002 5.2e-010 3.49
61 8.7e-007 9.2e-003 5.6e-005 1.00e+000 1.664742758e+002 1.664763751e+002 4.7e-010 3.54
62 7.8e-007 9.1e-003 5.0e-005 1.00e+000 1.664744183e+002 1.664763077e+002 4.2e-010 3.59
63 7.1e-007 8.9e-003 4.5e-005 1.00e+000 1.664745465e+002 1.664762469e+002 3.8e-010 3.62
64 6.3e-007 8.8e-003 4.1e-005 1.00e+000 1.664746618e+002 1.664761922e+002 3.4e-010 3.63
65 5.7e-007 8.7e-003 3.7e-005 1.00e+000 1.664747656e+002 1.664761430e+002 3.1e-010 3.67
66 5.1e-007 8.6e-003 3.3e-005 1.00e+000 1.664748589e+002 1.664760986e+002 2.8e-010 3.70
67 4.6e-007 8.5e-003 3.0e-005 1.00e+000 1.664749429e+002 1.664760586e+002 2.5e-010 3.73
68 4.2e-007 8.4e-003 2.7e-005 1.00e+000 1.664750185e+002 1.664760226e+002 2.3e-010 3.76
69 3.7e-007 8.3e-003 2.4e-005 9.99e-001 1.664750864e+002 1.664759902e+002 2.0e-010 3.79
70 3.4e-007 8.2e-003 2.2e-005 9.99e-001 1.664751475e+002 1.664759609e+002 1.8e-010 3.85
71 3.0e-007 8.2e-003 1.9e-005 1.00e+000 1.664752025e+002 1.664759346e+002 1.6e-010 3.88
72 2.7e-007 8.1e-003 1.7e-005 1.00e+000 1.664752520e+002 1.664759108e+002 1.5e-010 3.92
73 2.5e-007 8.0e-003 1.6e-005 1.00e+000 1.664752965e+002 1.664758895e+002 1.3e-010 3.95
74 2.2e-007 8.0e-003 1.4e-005 1.00e+000 1.664753366e+002 1.664758702e+002 1.2e-010 3.98
75 2.0e-007 8.0e-003 1.3e-005 1.00e+000 1.664753726e+002 1.664758528e+002 1.1e-010 4.01
76 1.8e-007 7.9e-003 1.1e-005 1.00e+000 1.664754050e+002 1.664758372e+002 9.7e-011 4.02
77 1.6e-007 7.9e-003 1.0e-005 1.00e+000 1.664754344e+002 1.664758230e+002 8.7e-011 4.06
78 1.5e-007 7.9e-003 9.3e-006 9.98e-001 1.664754606e+002 1.664758104e+002 7.9e-011 4.09
79 1.3e-007 7.8e-003 8.4e-006 9.98e-001 1.664754842e+002 1.664757991e+002 7.1e-011 4.13
80 1.2e-007 7.8e-003 7.5e-006 9.99e-001 1.664755054e+002 1.664757888e+002 6.4e-011 4.17
81 1.1e-007 7.8e-003 6.8e-006 1.00e+000 1.664755246e+002 1.664757796e+002 5.7e-011 4.18
82 9.5e-008 7.7e-003 6.1e-006 9.98e-001 1.664755418e+002 1.664757713e+002 5.2e-011 4.21
83 8.6e-008 7.7e-003 5.5e-006 9.94e-001 1.664755572e+002 1.664757639e+002 4.6e-011 4.24
84 7.7e-008 6.9e-003 4.9e-006 1.00e+000 1.664755713e+002 1.664757571e+002 4.2e-011 4.26
85 6.9e-008 6.2e-003 4.4e-006 1.00e+000 1.664755838e+002 1.664757510e+002 3.8e-011 4.30
86 6.3e-008 5.6e-003 4.0e-006 1.01e+000 1.664755954e+002 1.664757454e+002 3.4e-011 4.32
87 5.6e-008 5.0e-003 3.6e-006 1.00e+000 1.664756055e+002 1.664757405e+002 3.1e-011 4.35
88 5.1e-008 4.5e-003 3.2e-006 9.97e-001 1.664756146e+002 1.664757361e+002 2.7e-011 4.38
89 4.6e-008 4.1e-003 2.9e-006 9.93e-001 1.664756228e+002 1.664757322e+002 2.5e-011 4.41
90 4.1e-008 3.7e-003 2.6e-006 1.02e+000 1.664756306e+002 1.664757283e+002 2.2e-011 4.43
91 3.7e-008 3.3e-003 2.4e-006 9.98e-001 1.664756372e+002 1.664757251e+002 2.0e-011 4.46
92 3.3e-008 3.0e-003 2.1e-006 9.96e-001 1.664756431e+002 1.664757223e+002 1.8e-011 4.51
93 3.0e-008 2.7e-003 1.9e-006 1.00e+000 1.664756485e+002 1.664757197e+002 1.6e-011 4.54
94 2.7e-008 2.4e-003 1.7e-006 1.00e+000 1.664756534e+002 1.664757173e+002 1.5e-011 4.57
95 2.4e-008 2.2e-003 1.6e-006 9.93e-001 1.664756577e+002 1.664757153e+002 1.3e-011 4.60
96 2.2e-008 2.0e-003 1.4e-006 1.03e+000 1.664756620e+002 1.664757131e+002 1.2e-011 4.62
97 2.0e-008 1.8e-003 1.3e-006 9.70e-001 1.664756654e+002 1.664757115e+002 1.1e-011 4.65
98 1.8e-008 1.6e-003 1.1e-006 9.92e-001 1.664756685e+002 1.664757100e+002 9.8e-012 4.68
99 1.6e-008 1.4e-003 1.0e-006 9.90e-001 1.664756713e+002 1.664757087e+002 8.8e-012 4.71
100 1.4e-008 1.3e-003 9.2e-007 9.88e-001 1.664756738e+002 1.664757075e+002 7.9e-012 4.73
101 1.3e-008 1.2e-003 8.2e-007 1.02e+000 1.664756764e+002 1.664757062e+002 7.2e-012 4.76
102 1.2e-008 1.0e-003 7.4e-007 1.02e+000 1.664756786e+002 1.664757051e+002 6.6e-012 4.77
103 1.0e-008 9.3e-004 6.7e-007 1.01e+000 1.664756805e+002 1.664757042e+002 5.9e-012 4.80
104 9.4e-009 8.4e-004 6.0e-007 9.88e-001 1.664756821e+002 1.664757035e+002 5.4e-012 4.82
105 2.5e-009 9.9e-005 7.1e-008 1.03e+000 1.664756947e+002 1.664756972e+002 5.7e-013 4.85
Interior-point optimizer terminated. Time: 4.85.
Optimizer terminated. Time: 5.04
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569472e+002 Viol. con: 5e-008 var: 0e+000
Dual. obj: 1.6647569718e+002 Viol. con: 0e+000 var: 6e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 5.08 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
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 : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.20 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+004 after factor : 1.46e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.3e+005 0.00e+000 -1.285358115e+005 2.000000000e+000 1.0e+000 0.23
1 1.1e+003 1.4e+003 6.1e+004 -9.71e-001 -1.263542084e+005 3.574445409e+000 4.8e-001 3.28
2 4.3e+002 5.5e+002 2.4e+004 -9.36e-001 -1.201588462e+005 1.021567306e+001 1.9e-001 3.29
3 2.9e+002 3.7e+002 1.6e+004 -8.39e-001 -1.154718917e+005 6.399969923e+001 1.2e-001 3.32
4 2.8e+002 3.7e+002 1.6e+004 -7.59e-001 -1.128613764e+005 2.263785794e+003 1.2e-001 3.34
5 7.5e+001 9.7e+001 4.2e+003 -7.52e-001 -7.480743884e+004 9.600131146e+003 3.3e-002 3.37
6 3.0e+001 3.9e+001 1.7e+003 -1.96e-001 -4.068262226e+004 1.026881605e+004 1.3e-002 3.40
7 1.8e+001 2.3e+001 1.0e+003 3.91e-001 -2.712655239e+004 6.680852673e+003 7.9e-003 3.43
8 9.7e+000 1.2e+001 5.4e+002 6.31e-001 -1.569361954e+004 3.889215742e+003 4.3e-003 3.45
9 3.9e+000 5.0e+000 2.2e+002 8.12e-001 -6.429974797e+003 1.893874624e+003 1.7e-003 3.48
10 2.1e+000 2.7e+000 1.2e+002 9.41e-001 -3.286677051e+003 1.204164936e+003 9.2e-004 3.51
11 1.0e+000 1.3e+000 5.9e+001 9.80e-001 -1.544946329e+003 7.355134964e+002 4.7e-004 3.53
12 8.1e-001 1.0e+000 4.5e+001 9.78e-001 -1.184095451e+003 6.013190472e+002 3.6e-004 3.56
13 4.8e-001 6.2e-001 2.7e+001 9.74e-001 -6.380848607e+002 4.207566821e+002 2.1e-004 3.57
14 2.6e-001 3.6e-001 1.5e+001 1.00e+000 -2.718632943e+002 3.084865137e+002 1.2e-004 3.60
15 9.7e-002 1.5e-001 5.5e+000 1.00e+000 -1.010441322e+001 2.072410485e+002 4.5e-005 3.62
16 8.6e-002 1.3e-001 4.9e+000 1.02e+000 1.582670924e+001 2.085964044e+002 4.0e-005 3.65
17 5.3e-002 8.8e-002 3.1e+000 1.02e+000 7.255067101e+001 1.918816748e+002 2.5e-005 3.67
18 2.3e-002 6.9e-002 1.3e+000 1.02e+000 1.266864166e+002 1.778013887e+002 1.1e-005 3.70
19 6.2e-003 2.3e-001 3.7e-001 1.01e+000 1.562571419e+002 1.702782963e+002 2.9e-006 3.71
20 3.1e-003 3.1e-001 1.8e-001 1.00e+000 1.610366631e+002 1.681099590e+002 1.5e-006 3.74
21 1.6e-003 1.7e-001 9.8e-002 1.01e+000 1.636146341e+002 1.673813295e+002 8.0e-007 3.76
22 4.9e-004 1.4e-001 3.0e-002 1.01e+000 1.656243079e+002 1.667725216e+002 2.5e-007 3.81
23 3.1e-004 1.1e-001 1.9e-002 9.98e-001 1.659258907e+002 1.666521321e+002 1.6e-007 3.84
24 1.9e-004 7.7e-002 1.2e-002 9.85e-001 1.661267395e+002 1.665737752e+002 9.7e-008 3.85
25 1.7e-004 6.6e-002 1.0e-002 9.99e-001 1.661696598e+002 1.665612760e+002 8.5e-008 3.88
26 1.5e-004 6.0e-002 9.3e-003 1.01e+000 1.661982759e+002 1.665504893e+002 7.7e-008 3.90
27 1.3e-004 5.5e-002 8.4e-003 1.01e+000 1.662230927e+002 1.665399572e+002 6.9e-008 3.93
28 1.2e-004 5.0e-002 7.5e-003 1.01e+000 1.662455678e+002 1.665306778e+002 6.2e-008 3.95
29 1.1e-004 4.6e-002 6.8e-003 1.01e+000 1.662657032e+002 1.665222461e+002 5.6e-008 3.98
30 9.8e-005 4.2e-002 6.1e-003 1.01e+000 1.662837762e+002 1.665146194e+002 5.0e-008 3.99
31 8.8e-005 3.8e-002 5.5e-003 1.01e+000 1.662999938e+002 1.665077159e+002 4.5e-008 4.03
32 7.9e-005 3.5e-002 4.9e-003 1.01e+000 1.663145482e+002 1.665014684e+002 4.1e-008 4.04
33 7.1e-005 3.3e-002 4.4e-003 1.00e+000 1.663276106e+002 1.664958148e+002 3.7e-008 4.07
34 6.4e-005 3.0e-002 4.0e-003 1.00e+000 1.663393348e+002 1.664906994e+002 3.3e-008 4.09
35 5.8e-005 2.8e-002 3.6e-003 1.00e+000 1.663498589e+002 1.664860716e+002 3.0e-008 4.12
36 5.2e-005 2.6e-002 3.2e-003 1.00e+000 1.663593067e+002 1.664818858e+002 2.7e-008 4.13
37 4.7e-005 2.4e-002 2.9e-003 1.00e+000 1.663677891e+002 1.664781006e+002 2.4e-008 4.17
38 4.2e-005 2.2e-002 2.6e-003 1.00e+000 1.663754056e+002 1.664746783e+002 2.2e-008 4.20
39 3.8e-005 2.1e-002 2.4e-003 1.00e+000 1.663822454e+002 1.664715847e+002 2.0e-008 4.23
40 3.4e-005 1.9e-002 2.1e-003 1.00e+000 1.663883882e+002 1.664687888e+002 1.8e-008 4.26
41 3.1e-005 1.8e-002 1.9e-003 1.00e+000 1.663939056e+002 1.664662623e+002 1.6e-008 4.29
42 2.8e-005 1.7e-002 1.7e-003 1.00e+000 1.663988616e+002 1.664639797e+002 1.4e-008 4.31
43 2.5e-005 1.6e-002 1.6e-003 1.00e+000 1.664033136e+002 1.664619177e+002 1.3e-008 4.34
44 2.2e-005 1.5e-002 1.4e-003 1.00e+000 1.664073133e+002 1.664600552e+002 1.2e-008 4.37
45 2.0e-005 1.5e-002 1.3e-003 1.00e+000 1.664109068e+002 1.664583732e+002 1.0e-008 4.40
46 1.8e-005 1.4e-002 1.1e-003 1.00e+000 1.664141355e+002 1.664568543e+002 9.4e-009 4.42
47 1.6e-005 1.3e-002 1.0e-003 1.00e+000 1.664170367e+002 1.664554828e+002 8.4e-009 4.45
48 1.5e-005 1.3e-002 9.2e-004 1.00e+000 1.664196438e+002 1.664542447e+002 7.6e-009 4.48
49 1.3e-005 1.2e-002 8.2e-004 1.00e+000 1.664219867e+002 1.664531271e+002 6.8e-009 4.49
50 1.2e-005 1.2e-002 7.4e-004 1.00e+000 1.664240923e+002 1.664521184e+002 6.2e-009 4.57
51 1.1e-005 1.1e-002 6.7e-004 1.00e+000 1.664259849e+002 1.664512082e+002 5.5e-009 4.59
52 9.6e-006 1.1e-002 6.0e-004 1.00e+000 1.664276860e+002 1.664503869e+002 5.0e-009 4.62
53 8.6e-006 1.1e-002 5.4e-004 1.00e+000 1.664292152e+002 1.664496460e+002 4.5e-009 4.63
54 7.8e-006 1.0e-002 4.9e-004 1.00e+000 1.664305899e+002 1.664489776e+002 4.0e-009 4.67
55 7.0e-006 1.0e-002 4.4e-004 1.00e+000 1.664318258e+002 1.664483748e+002 3.6e-009 4.68
56 6.3e-006 9.9e-003 3.9e-004 1.00e+000 1.664329370e+002 1.664478311e+002 3.3e-009 4.71
57 5.7e-006 9.7e-003 3.5e-004 1.00e+000 1.664339361e+002 1.664473409e+002 2.9e-009 4.74
58 5.1e-006 9.6e-003 3.2e-004 1.00e+000 1.664348345e+002 1.664468989e+002 2.7e-009 4.76
59 4.6e-006 9.4e-003 2.9e-004 1.00e+000 1.664356423e+002 1.664465003e+002 2.4e-009 4.79
60 4.1e-006 9.2e-003 2.6e-004 1.00e+000 1.664363687e+002 1.664461410e+002 2.1e-009 4.80
61 3.7e-006 9.1e-003 2.3e-004 1.00e+000 1.664370219e+002 1.664458170e+002 1.9e-009 4.84
62 3.3e-006 9.0e-003 2.1e-004 1.00e+000 1.664376093e+002 1.664455250e+002 1.7e-009 4.85
63 3.0e-006 8.9e-003 1.9e-004 1.00e+000 1.664381375e+002 1.664452617e+002 1.6e-009 4.88
64 2.7e-006 8.7e-003 1.7e-004 1.00e+000 1.664386125e+002 1.664450244e+002 1.4e-009 4.90
65 2.4e-006 8.7e-003 1.5e-004 1.00e+000 1.664390398e+002 1.664448105e+002 1.3e-009 4.93
66 2.2e-006 8.6e-003 1.4e-004 1.00e+000 1.664394241e+002 1.664446178e+002 1.1e-009 4.95
67 2.0e-006 8.5e-003 1.2e-004 1.00e+000 1.664397698e+002 1.664444442e+002 1.0e-009 4.98
68 1.8e-006 8.4e-003 1.1e-004 1.00e+000 1.664400808e+002 1.664442879e+002 9.3e-010 5.01
69 1.6e-006 8.3e-003 1.0e-004 1.00e+000 1.664403606e+002 1.664441470e+002 8.3e-010 5.02
70 1.4e-006 8.3e-003 9.0e-005 1.00e+000 1.664406124e+002 1.664440201e+002 7.5e-010 5.05
71 1.3e-006 8.2e-003 8.1e-005 1.00e+000 1.664408388e+002 1.664439059e+002 6.7e-010 5.07
72 1.2e-006 8.2e-003 7.3e-005 1.00e+000 1.664410426e+002 1.664438030e+002 6.1e-010 5.10
73 1.1e-006 8.1e-003 6.6e-005 1.00e+000 1.664412259e+002 1.664437103e+002 5.5e-010 5.12
74 9.5e-007 8.1e-003 5.9e-005 1.00e+000 1.664413908e+002 1.664436267e+002 4.9e-010 5.15
75 8.5e-007 8.0e-003 5.3e-005 1.00e+000 1.664415392e+002 1.664435515e+002 4.4e-010 5.16
76 7.7e-007 8.0e-003 4.8e-005 1.00e+000 1.664416726e+002 1.664434838e+002 4.0e-010 5.20
77 6.9e-007 7.9e-003 4.3e-005 1.00e+000 1.664417927e+002 1.664434227e+002 3.6e-010 5.23
78 6.2e-007 7.9e-003 3.9e-005 1.00e+000 1.664419007e+002 1.664433677e+002 3.2e-010 5.29
79 5.6e-007 7.9e-003 3.5e-005 1.00e+000 1.664419979e+002 1.664433182e+002 2.9e-010 5.30
80 5.0e-007 7.8e-003 3.1e-005 1.00e+000 1.664420854e+002 1.664432736e+002 2.6e-010 5.34
81 4.5e-007 7.8e-003 2.8e-005 1.00e+000 1.664421640e+002 1.664432334e+002 2.4e-010 5.37
82 4.1e-007 7.8e-003 2.5e-005 1.00e+000 1.664422347e+002 1.664431972e+002 2.1e-010 5.38
83 3.7e-007 7.8e-003 2.3e-005 1.00e+000 1.664422984e+002 1.664431646e+002 1.9e-010 5.41
84 3.3e-007 7.7e-003 2.1e-005 1.00e+000 1.664423557e+002 1.664431352e+002 1.7e-010 5.45
85 3.0e-007 7.7e-003 1.9e-005 9.99e-001 1.664424072e+002 1.664431088e+002 1.5e-010 5.46
86 2.7e-007 7.7e-003 1.7e-005 1.00e+000 1.664424535e+002 1.664430850e+002 1.4e-010 5.49
87 2.4e-007 7.7e-003 1.5e-005 1.00e+000 1.664424953e+002 1.664430636e+002 1.3e-010 5.52
88 2.2e-007 7.7e-003 1.4e-005 1.00e+000 1.664425328e+002 1.664430443e+002 1.1e-010 5.54
89 1.9e-007 7.6e-003 1.2e-005 1.00e+000 1.664425666e+002 1.664430269e+002 1.0e-010 5.57
90 1.8e-007 7.6e-003 1.1e-005 1.00e+000 1.664425970e+002 1.664430113e+002 9.1e-011 5.59
91 1.6e-007 7.6e-003 9.9e-006 1.00e+000 1.664426244e+002 1.664429972e+002 8.2e-011 5.62
92 1.4e-007 7.6e-003 8.9e-006 1.00e+000 1.664426491e+002 1.664429845e+002 7.4e-011 5.66
93 1.3e-007 7.6e-003 8.0e-006 1.00e+000 1.664426712e+002 1.664429731e+002 6.6e-011 5.68
94 1.2e-007 7.6e-003 7.2e-006 1.00e+000 1.664426912e+002 1.664429629e+002 6.0e-011 5.71
95 1.0e-007 7.6e-003 6.5e-006 1.00e+000 1.664427092e+002 1.664429536e+002 5.4e-011 5.74
96 9.3e-008 6.8e-003 5.8e-006 1.01e+000 1.664427256e+002 1.664429452e+002 4.9e-011 5.76
97 8.4e-008 6.1e-003 5.2e-006 9.94e-001 1.664427401e+002 1.664429378e+002 4.4e-011 5.79
98 7.5e-008 5.5e-003 4.7e-006 9.95e-001 1.664427532e+002 1.664429311e+002 3.9e-011 5.80
99 6.8e-008 5.0e-003 4.3e-006 1.00e+000 1.664427649e+002 1.664429251e+002 3.5e-011 5.84
100 6.1e-008 4.5e-003 3.8e-006 1.00e+000 1.664427755e+002 1.664429197e+002 3.2e-011 5.87
101 5.5e-008 4.0e-003 3.4e-006 1.01e+000 1.664427852e+002 1.664429147e+002 2.9e-011 5.88
102 5.0e-008 3.6e-003 3.1e-006 1.00e+000 1.664427938e+002 1.664429103e+002 2.6e-011 5.91
103 4.5e-008 3.3e-003 2.8e-006 9.91e-001 1.664428015e+002 1.664429064e+002 2.3e-011 5.93
104 4.0e-008 2.9e-003 2.5e-006 9.83e-001 1.664428084e+002 1.664429029e+002 2.1e-011 5.96
105 3.6e-008 2.6e-003 2.3e-006 1.03e+000 1.664428154e+002 1.664428992e+002 1.9e-011 5.99
106 3.2e-008 2.4e-003 2.0e-006 9.94e-001 1.664428209e+002 1.664428964e+002 1.7e-011 6.01
107 2.9e-008 2.1e-003 1.8e-006 9.94e-001 1.664428259e+002 1.664428938e+002 1.5e-011 6.05
108 2.6e-008 1.9e-003 1.6e-006 1.01e+000 1.664428305e+002 1.664428914e+002 1.4e-011 6.10
109 2.4e-008 1.7e-003 1.5e-006 1.01e+000 1.664428346e+002 1.664428893e+002 1.3e-011 6.13
110 2.1e-008 1.6e-003 1.3e-006 9.81e-001 1.664428382e+002 1.664428875e+002 1.1e-011 6.15
111 1.9e-008 1.4e-003 1.2e-006 1.01e+000 1.664428416e+002 1.664428858e+002 1.0e-011 6.18
112 1.7e-008 1.3e-003 1.1e-006 1.04e+000 1.664428451e+002 1.664428839e+002 9.4e-012 6.21
113 1.6e-008 1.1e-003 9.7e-007 1.03e+000 1.664428480e+002 1.664428824e+002 8.6e-012 6.22
114 1.4e-008 1.0e-003 8.8e-007 1.05e+000 1.664428508e+002 1.664428809e+002 7.9e-012 6.26
115 1.3e-008 9.2e-004 7.9e-007 9.86e-001 1.664428528e+002 1.664428799e+002 7.1e-012 6.29
116 1.1e-008 8.3e-004 7.1e-007 1.02e+000 1.664428547e+002 1.664428789e+002 6.4e-012 6.30
117 1.0e-008 7.5e-004 6.4e-007 1.01e+000 1.664428564e+002 1.664428781e+002 5.8e-012 6.33
118 9.7e-009 6.7e-004 5.7e-007 1.15e+000 1.664428588e+002 1.664428767e+002 5.6e-012 6.35
119 8.7e-009 6.0e-004 5.2e-007 1.04e+000 1.664428602e+002 1.664428760e+002 5.1e-012 6.38
120 7.9e-009 5.4e-004 4.7e-007 1.38e+000 1.664428612e+002 1.664428757e+002 4.6e-012 6.41
121 9.6e-009 4.9e-004 4.2e-007 9.31e-001 1.664428621e+002 1.664428753e+002 4.2e-012 6.43
122 1.1e-008 4.6e-004 3.9e-007 3.95e+000 1.664428622e+002 1.664428766e+002 3.9e-012 6.46
123 9.4e-009 4.1e-004 3.5e-007 9.34e-001 1.664428631e+002 1.664428761e+002 3.5e-012 6.49
124 8.4e-009 3.7e-004 3.2e-007 7.38e-001 1.664428638e+002 1.664428755e+002 3.1e-012 6.50
125 7.5e-009 3.3e-004 2.9e-007 1.45e+000 1.664428645e+002 1.664428750e+002 2.8e-012 6.54
126 8.0e-009 3.0e-004 2.6e-007 9.57e-001 1.664428652e+002 1.664428747e+002 2.5e-012 6.57
127 7.8e-009 2.7e-004 2.3e-007 1.03e+000 1.664428658e+002 1.664428742e+002 2.3e-012 6.58
128 6.7e-009 2.4e-004 2.1e-007 6.49e-001 1.664428663e+002 1.664428737e+002 2.1e-012 6.62
129 6.1e-009 2.2e-004 1.9e-007 1.18e+000 1.664428671e+002 1.664428730e+002 2.0e-012 6.65
130 7.2e-009 2.0e-004 1.7e-007 1.35e+000 1.664428674e+002 1.664428730e+002 1.8e-012 6.66
131 6.6e-009 1.8e-004 1.5e-007 4.08e-001 1.664428678e+002 1.664428730e+002 1.6e-012 6.69
132 6.4e-009 1.6e-004 1.4e-007 6.04e-001 1.664428681e+002 1.664428729e+002 1.5e-012 6.71
133 8.1e-009 1.4e-004 1.2e-007 1.12e+000 1.664428685e+002 1.664428725e+002 1.4e-012 6.74
134 7.3e-009 1.3e-004 1.1e-007 8.72e-001 1.664428687e+002 1.664428723e+002 1.3e-012 6.75
135 6.5e-009 1.2e-004 1.0e-007 4.43e-001 1.664428689e+002 1.664428722e+002 1.1e-012 6.80
136 6.5e-009 1.1e-004 9.0e-008 4.23e-001 1.664428691e+002 1.664428721e+002 1.0e-012 6.82
137 5.9e-009 9.5e-005 8.1e-008 2.95e+000 1.664428693e+002 1.664428719e+002 9.2e-013 6.85
Interior-point optimizer terminated. Time: 6.85.
Optimizer terminated. Time: 6.94
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286929e+002 Viol. con: 1e-007 var: 0e+000
Dual. obj: 1.6644287185e+002 Viol. con: 0e+000 var: 6e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 6.96 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
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 : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 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 : 1.64e+004 after factor : 1.46e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.3e+005 0.00e+000 -1.285340960e+005 2.000000000e+000 1.0e+000 0.08
1 1.1e+003 1.4e+003 6.1e+004 -9.71e-001 -1.263517277e+005 3.573621139e+000 4.8e-001 0.89
2 4.3e+002 5.5e+002 2.4e+004 -9.36e-001 -1.201360083e+005 1.023272753e+001 1.8e-001 0.94
3 2.9e+002 3.7e+002 1.6e+004 -8.39e-001 -1.154380572e+005 6.426641656e+001 1.2e-001 0.98
4 2.8e+002 3.6e+002 1.6e+004 -7.59e-001 -1.128348619e+005 2.258318242e+003 1.2e-001 1.03
5 7.5e+001 9.6e+001 4.1e+003 -7.52e-001 -7.471872904e+004 9.598269739e+003 3.3e-002 1.08
6 3.0e+001 3.9e+001 1.7e+003 -1.95e-001 -4.050833843e+004 1.020869079e+004 1.3e-002 1.12
7 1.8e+001 2.3e+001 1.0e+003 3.94e-001 -2.711080984e+004 6.648797975e+003 7.9e-003 1.17
8 9.5e+000 1.2e+001 5.3e+002 6.30e-001 -1.542140578e+004 3.834874501e+003 4.2e-003 1.22
9 3.6e+000 4.7e+000 2.0e+002 8.16e-001 -5.933698276e+003 1.798170012e+003 1.6e-003 1.26
10 2.0e+000 2.6e+000 1.1e+002 9.47e-001 -3.130695550e+003 1.194462858e+003 8.9e-004 1.31
11 8.4e-001 1.1e+000 4.7e+001 9.81e-001 -1.229432412e+003 6.158754080e+002 3.8e-004 1.34
12 8.2e-001 1.1e+000 4.6e+001 9.50e-001 -1.213195992e+003 5.912527150e+002 3.7e-004 1.39
13 5.1e-001 6.6e-001 2.9e+001 9.72e-001 -7.067499225e+002 4.266797897e+002 2.3e-004 1.44
14 3.1e-001 4.2e-001 1.8e+001 1.00e+000 -3.527355943e+002 3.410983992e+002 1.4e-004 1.48
15 1.1e-001 1.7e-001 6.1e+000 9.98e-001 -2.763030549e+001 2.143695578e+002 5.0e-005 1.51
16 8.2e-002 1.3e-001 4.7e+000 1.02e+000 2.135866011e+001 2.045406529e+002 3.8e-005 1.54
17 4.1e-002 8.3e-002 2.4e+000 1.02e+000 9.501630282e+001 1.868881294e+002 1.9e-005 1.58
18 1.4e-002 8.3e-002 8.2e-001 1.02e+000 1.425025155e+002 1.741742431e+002 6.6e-006 1.59
19 6.2e-003 7.2e-002 3.6e-001 1.01e+000 1.557131831e+002 1.695763457e+002 2.9e-006 1.64
20 1.5e-003 1.6e-001 9.2e-002 1.01e+000 1.638759427e+002 1.673862915e+002 7.4e-007 1.67
21 8.0e-004 1.1e-001 4.9e-002 9.78e-001 1.650622392e+002 1.669372892e+002 4.0e-007 1.73
22 2.4e-004 1.1e-001 1.6e-002 9.90e-001 1.660031682e+002 1.665978304e+002 1.3e-007 1.76
23 1.1e-004 8.9e-002 7.5e-003 1.01e+000 1.662212971e+002 1.665057522e+002 6.3e-008 1.79
24 4.7e-005 8.5e-002 3.1e-003 1.01e+000 1.663394227e+002 1.664571339e+002 2.6e-008 1.84
25 2.2e-005 7.7e-002 1.5e-003 1.01e+000 1.663835788e+002 1.664385510e+002 1.2e-008 1.87
26 2.0e-005 7.1e-002 1.3e-003 1.00e+000 1.663881972e+002 1.664377012e+002 1.1e-008 1.92
27 1.8e-005 6.4e-002 1.2e-003 1.01e+000 1.663915598e+002 1.664361003e+002 1.0e-008 1.95
28 1.6e-005 5.9e-002 1.1e-003 1.00e+000 1.663946472e+002 1.664347269e+002 9.0e-009 2.00
29 1.4e-005 5.4e-002 9.6e-004 1.00e+000 1.663974102e+002 1.664334757e+002 8.1e-009 2.03
30 1.3e-005 4.9e-002 8.6e-004 1.00e+000 1.663998948e+002 1.664323488e+002 7.3e-009 2.08
31 1.2e-005 4.5e-002 7.7e-004 1.00e+000 1.664021273e+002 1.664313318e+002 6.5e-009 2.11
32 1.0e-005 4.1e-002 7.0e-004 1.00e+000 1.664041337e+002 1.664304145e+002 5.9e-009 2.14
33 9.4e-006 3.8e-002 6.3e-004 1.00e+000 1.664059371e+002 1.664295871e+002 5.3e-009 2.17
34 8.5e-006 3.5e-002 5.6e-004 1.00e+000 1.664075581e+002 1.664288409e+002 4.8e-009 2.20
35 7.7e-006 3.2e-002 5.1e-004 1.00e+000 1.664090153e+002 1.664281681e+002 4.3e-009 2.25
36 6.9e-006 3.0e-002 4.6e-004 1.00e+000 1.664103253e+002 1.664275614e+002 3.9e-009 2.28
37 6.2e-006 2.8e-002 4.1e-004 1.00e+000 1.664115031e+002 1.664270144e+002 3.5e-009 2.33
38 5.6e-006 2.6e-002 3.7e-004 1.00e+000 1.664125621e+002 1.664265214e+002 3.1e-009 2.36
39 5.0e-006 2.4e-002 3.3e-004 1.00e+000 1.664135144e+002 1.664260769e+002 2.8e-009 2.40
40 4.5e-006 2.2e-002 3.0e-004 1.00e+000 1.664143706e+002 1.664256764e+002 2.5e-009 2.43
41 4.1e-006 2.1e-002 2.7e-004 1.00e+000 1.664151406e+002 1.664253153e+002 2.3e-009 2.46
42 3.7e-006 2.0e-002 2.4e-004 1.00e+000 1.664158330e+002 1.664249899e+002 2.1e-009 2.50
43 3.3e-006 1.8e-002 2.2e-004 1.00e+000 1.664164557e+002 1.664246966e+002 1.8e-009 2.54
44 3.0e-006 1.7e-002 2.0e-004 1.00e+000 1.664170157e+002 1.664244323e+002 1.7e-009 2.57
45 2.7e-006 1.6e-002 1.8e-004 1.00e+000 1.664175193e+002 1.664241941e+002 1.5e-009 2.61
46 2.4e-006 1.5e-002 1.6e-004 1.00e+000 1.664179723e+002 1.664239794e+002 1.3e-009 2.65
47 2.2e-006 1.5e-002 1.4e-004 1.00e+000 1.664183797e+002 1.664237860e+002 1.2e-009 2.68
48 1.9e-006 1.4e-002 1.3e-004 1.00e+000 1.664187463e+002 1.664236119e+002 1.1e-009 2.73
49 1.8e-006 1.3e-002 1.2e-004 1.00e+000 1.664190761e+002 1.664234551e+002 9.8e-010 2.76
50 1.6e-006 1.3e-002 1.0e-004 1.00e+000 1.664193728e+002 1.664233138e+002 8.8e-010 2.81
51 1.4e-006 1.2e-002 9.4e-005 1.00e+000 1.664196397e+002 1.664231865e+002 8.0e-010 2.84
52 1.3e-006 1.2e-002 8.5e-005 1.00e+000 1.664198799e+002 1.664230720e+002 7.2e-010 2.87
53 1.1e-006 1.1e-002 7.6e-005 1.00e+000 1.664200960e+002 1.664229689e+002 6.4e-010 2.90
54 1.0e-006 1.1e-002 6.9e-005 1.00e+000 1.664202903e+002 1.664228760e+002 5.8e-010 2.93
55 9.3e-007 1.1e-002 6.2e-005 1.00e+000 1.664204652e+002 1.664227923e+002 5.2e-010 2.96
56 8.4e-007 1.0e-002 5.6e-005 1.00e+000 1.664206226e+002 1.664227169e+002 4.7e-010 3.00
57 7.5e-007 1.0e-002 5.0e-005 1.00e+000 1.664207641e+002 1.664226491e+002 4.2e-010 3.03
58 6.8e-007 9.9e-003 4.5e-005 1.00e+000 1.664208915e+002 1.664225880e+002 3.8e-010 3.06
59 6.1e-007 9.7e-003 4.1e-005 1.00e+000 1.664210061e+002 1.664225328e+002 3.4e-010 3.09
60 5.5e-007 9.5e-003 3.6e-005 1.00e+000 1.664211092e+002 1.664224832e+002 3.1e-010 3.12
61 4.9e-007 9.3e-003 3.3e-005 1.00e+000 1.664212019e+002 1.664224385e+002 2.8e-010 3.15
62 4.4e-007 9.1e-003 3.0e-005 1.00e+000 1.664212853e+002 1.664223983e+002 2.5e-010 3.18
63 4.0e-007 9.0e-003 2.7e-005 1.00e+000 1.664213603e+002 1.664223620e+002 2.2e-010 3.62
64 3.6e-007 8.8e-003 2.4e-005 1.00e+000 1.664214278e+002 1.664223293e+002 2.0e-010 3.65
65 3.2e-007 8.7e-003 2.2e-005 1.00e+000 1.664214885e+002 1.664222999e+002 1.8e-010 3.68
66 2.9e-007 8.6e-003 1.9e-005 1.00e+000 1.664215431e+002 1.664222734e+002 1.6e-010 3.70
67 2.6e-007 8.5e-003 1.7e-005 1.00e+000 1.664215923e+002 1.664222494e+002 1.5e-010 3.73
68 2.4e-007 8.4e-003 1.6e-005 1.00e+000 1.664216365e+002 1.664222279e+002 1.3e-010 3.74
69 2.1e-007 8.3e-003 1.4e-005 9.97e-001 1.664216763e+002 1.664222086e+002 1.2e-010 4.63
70 1.9e-007 8.3e-003 1.3e-005 1.00e+000 1.664217121e+002 1.664221911e+002 1.1e-010 4.65
71 1.7e-007 8.2e-003 1.1e-005 1.00e+000 1.664217445e+002 1.664221753e+002 9.7e-011 4.68
72 1.6e-007 8.1e-003 1.0e-005 1.00e+000 1.664217734e+002 1.664221612e+002 8.7e-011 4.70
73 1.4e-007 8.1e-003 9.3e-006 9.96e-001 1.664217995e+002 1.664221486e+002 7.8e-011 4.73
74 1.3e-007 7.3e-003 8.3e-006 1.01e+000 1.664218236e+002 1.664221367e+002 7.1e-011 4.77
75 1.1e-007 6.5e-003 7.5e-006 1.00e+000 1.664218447e+002 1.664221264e+002 6.4e-011 4.80
76 1.0e-007 5.9e-003 6.8e-006 1.00e+000 1.664218637e+002 1.664221172e+002 5.7e-011 4.85
77 9.2e-008 5.3e-003 6.1e-006 9.88e-001 1.664218807e+002 1.664221090e+002 5.2e-011 4.88
78 8.2e-008 4.8e-003 5.5e-006 9.92e-001 1.664218960e+002 1.664221015e+002 4.6e-011 4.93
79 7.4e-008 4.3e-003 4.9e-006 1.00e+000 1.664219098e+002 1.664220948e+002 4.2e-011 4.98
80 6.7e-008 3.9e-003 4.4e-006 1.00e+000 1.664219223e+002 1.664220887e+002 3.8e-011 5.01
81 6.0e-008 3.5e-003 4.0e-006 9.99e-001 1.664219335e+002 1.664220832e+002 3.4e-011 5.05
82 5.4e-008 3.1e-003 3.6e-006 1.00e+000 1.664219436e+002 1.664220783e+002 3.0e-011 5.09
83 4.9e-008 2.8e-003 3.2e-006 9.87e-001 1.664219526e+002 1.664220740e+002 2.7e-011 5.12
84 4.4e-008 2.5e-003 2.9e-006 9.99e-001 1.664219608e+002 1.664220700e+002 2.5e-011 5.15
85 3.9e-008 2.3e-003 2.6e-006 1.00e+000 1.664219681e+002 1.664220664e+002 2.2e-011 6.33
86 3.6e-008 2.1e-003 2.4e-006 1.01e+000 1.664219748e+002 1.664220631e+002 2.0e-011 6.37
87 3.2e-008 1.8e-003 2.1e-006 1.02e+000 1.664219812e+002 1.664220599e+002 1.8e-011 6.40
88 2.9e-008 1.7e-003 1.9e-006 9.96e-001 1.664219865e+002 1.664220574e+002 1.6e-011 6.43
89 2.6e-008 1.5e-003 1.7e-006 1.01e+000 1.664219913e+002 1.664220550e+002 1.5e-011 6.46
90 2.3e-008 1.3e-003 1.5e-006 9.66e-001 1.664219956e+002 1.664220530e+002 1.3e-011 6.49
91 2.1e-008 1.2e-003 1.4e-006 1.03e+000 1.664219999e+002 1.664220508e+002 1.2e-011 6.52
92 1.9e-008 1.1e-003 1.3e-006 9.86e-001 1.664220033e+002 1.664220491e+002 1.1e-011 6.55
93 1.7e-008 9.8e-004 1.1e-006 1.03e+000 1.664220068e+002 1.664220474e+002 9.9e-012 6.66
94 1.5e-008 8.8e-004 1.0e-006 9.65e-001 1.664220095e+002 1.664220461e+002 9.0e-012 6.69
95 1.4e-008 8.0e-004 9.1e-007 9.79e-001 1.664220120e+002 1.664220449e+002 8.1e-012 8.47
96 1.2e-008 7.2e-004 8.2e-007 9.26e-001 1.664220141e+002 1.664220439e+002 7.3e-012 8.50
97 1.1e-008 6.4e-004 7.4e-007 1.01e+000 1.664220163e+002 1.664220429e+002 6.6e-012 8.53
98 1.0e-008 5.8e-004 6.7e-007 9.67e-001 1.664220180e+002 1.664220420e+002 5.9e-012 8.56
99 9.1e-009 5.2e-004 6.0e-007 1.07e+000 1.664220201e+002 1.664220409e+002 5.5e-012 8.61
100 8.2e-009 4.7e-004 5.4e-007 1.06e+000 1.664220219e+002 1.664220400e+002 5.1e-012 8.64
101 7.4e-009 4.2e-004 4.9e-007 1.05e+000 1.664220234e+002 1.664220393e+002 4.7e-012 8.67
102 6.7e-009 3.8e-004 4.4e-007 1.02e+000 1.664220246e+002 1.664220387e+002 4.3e-012 8.71
103 6.0e-009 3.4e-004 3.9e-007 9.14e-001 1.664220255e+002 1.664220382e+002 3.9e-012 8.74
104 5.7e-009 3.1e-004 3.5e-007 1.18e+000 1.664220271e+002 1.664220374e+002 3.8e-012 8.77
105 5.8e-009 1.9e-005 2.2e-008 8.66e-001 1.664220339e+002 1.664220346e+002 4.4e-013 8.80
Interior-point optimizer terminated. Time: 8.81.
Optimizer terminated. Time: 8.89
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203388e+002 Viol. con: 1e-007 var: 0e+000
Dual. obj: 1.6642203456e+002 Viol. con: 0e+000 var: 1e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 8.92 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
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 : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 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 : 1.64e+004 after factor : 1.46e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.3e+005 0.00e+000 -1.285332504e+005 2.000000000e+000 1.0e+000 0.09
1 1.1e+003 1.4e+003 6.1e+004 -9.71e-001 -1.263506598e+005 3.573405815e+000 4.8e-001 11.82
2 4.3e+002 5.5e+002 2.4e+004 -9.36e-001 -1.201229614e+005 1.024109197e+001 1.8e-001 11.87
3 2.9e+002 3.7e+002 1.6e+004 -8.38e-001 -1.154146790e+005 6.438970247e+001 1.2e-001 11.90
4 2.8e+002 3.6e+002 1.6e+004 -7.58e-001 -1.128141989e+005 2.256493034e+003 1.2e-001 12.17
5 7.5e+001 9.6e+001 4.1e+003 -7.51e-001 -7.452167267e+004 9.623275231e+003 3.3e-002 12.23
6 3.0e+001 3.8e+001 1.7e+003 -1.92e-001 -4.039645870e+004 1.017307202e+004 1.3e-002 12.28
7 1.8e+001 2.3e+001 1.0e+003 3.96e-001 -2.710380178e+004 6.644064598e+003 7.9e-003 14.59
8 9.5e+000 1.2e+001 5.2e+002 6.30e-001 -1.529783966e+004 3.811650258e+003 4.1e-003 14.63
9 3.3e+000 4.2e+000 1.8e+002 8.18e-001 -5.370867177e+003 1.685457898e+003 1.5e-003 14.70
10 1.6e+000 2.1e+000 9.1e+001 9.54e-001 -2.488140051e+003 1.068016004e+003 7.3e-004 14.74
11 9.3e-001 1.2e+000 5.2e+001 9.86e-001 -1.337535564e+003 6.866580917e+002 4.1e-004 14.77
12 8.5e-001 1.1e+000 4.8e+001 9.60e-001 -1.253934553e+003 6.354882691e+002 3.8e-004 14.79
13 4.7e-001 6.1e-001 2.7e+001 9.77e-001 -6.373698579e+002 4.197182369e+002 2.1e-004 14.82
14 2.5e-001 3.3e-001 1.4e+001 1.00e+000 -2.541585498e+002 3.021270613e+002 1.1e-004 14.84
15 9.3e-002 1.5e-001 5.3e+000 1.00e+000 -3.965754413e+000 2.060661634e+002 4.3e-005 14.87
16 8.6e-002 1.3e-001 4.9e+000 1.02e+000 1.475352294e+001 2.084813327e+002 4.0e-005 14.88
17 6.0e-002 9.6e-002 3.4e+000 1.02e+000 6.117875385e+001 1.950767977e+002 2.8e-005 14.90
18 3.3e-002 7.2e-002 1.9e+000 1.02e+000 1.091854409e+002 1.824026532e+002 1.5e-005 14.93
19 9.2e-003 1.8e-001 5.3e-001 1.02e+000 1.513704184e+002 1.718413956e+002 4.3e-006 14.95
20 3.6e-003 2.1e-001 2.1e-001 1.01e+000 1.602183071e+002 1.683899840e+002 1.7e-006 14.98
21 1.3e-003 1.3e-001 7.6e-002 1.01e+000 1.642699958e+002 1.671903183e+002 6.2e-007 14.99
22 8.6e-004 1.0e-001 5.2e-002 9.84e-001 1.649681609e+002 1.669444001e+002 4.3e-007 15.02
23 2.6e-004 1.1e-001 1.6e-002 9.86e-001 1.659690901e+002 1.665864863e+002 1.3e-007 15.04
24 9.4e-005 1.0e-001 6.1e-003 1.01e+000 1.662459038e+002 1.664756904e+002 5.1e-008 15.07
25 3.7e-005 9.5e-002 2.4e-003 1.01e+000 1.663440802e+002 1.664350960e+002 2.0e-008 15.10
26 1.7e-005 8.1e-002 1.1e-003 1.00e+000 1.663785044e+002 1.664206578e+002 9.5e-009 15.15
27 1.5e-005 7.4e-002 1.0e-003 1.00e+000 1.663820225e+002 1.664199766e+002 8.5e-009 15.19
28 1.4e-005 6.7e-002 9.0e-004 1.01e+000 1.663846093e+002 1.664187606e+002 7.7e-009 15.24
29 1.2e-005 6.1e-002 8.1e-004 1.00e+000 1.663869811e+002 1.664177118e+002 6.9e-009 15.30
30 1.1e-005 5.6e-002 7.3e-004 1.00e+000 1.663891057e+002 1.664167589e+002 6.2e-009 15.34
31 1.0e-005 5.1e-002 6.6e-004 1.00e+000 1.663910163e+002 1.664159006e+002 5.6e-009 15.35
32 9.1e-006 4.7e-002 5.9e-004 1.00e+000 1.663927336e+002 1.664151265e+002 5.0e-009 15.38
33 8.1e-006 4.3e-002 5.3e-004 1.00e+000 1.663942774e+002 1.664144286e+002 4.5e-009 15.40
34 7.3e-006 3.9e-002 4.8e-004 1.00e+000 1.663956654e+002 1.664137994e+002 4.1e-009 15.43
35 6.6e-006 3.6e-002 4.3e-004 1.00e+000 1.663969133e+002 1.664132323e+002 3.7e-009 15.48
36 5.9e-006 3.3e-002 3.9e-004 1.00e+000 1.663980354e+002 1.664127212e+002 3.3e-009 15.51
37 5.3e-006 3.1e-002 3.5e-004 1.00e+000 1.663990444e+002 1.664122606e+002 3.0e-009 15.54
38 4.8e-006 2.9e-002 3.2e-004 1.00e+000 1.663999517e+002 1.664118454e+002 2.7e-009 15.60
39 4.3e-006 2.6e-002 2.8e-004 1.00e+000 1.664007677e+002 1.664114714e+002 2.4e-009 15.66
40 3.9e-006 2.5e-002 2.6e-004 1.00e+000 1.664015015e+002 1.664111342e+002 2.2e-009 15.71
41 3.5e-006 2.3e-002 2.3e-004 1.00e+000 1.664021614e+002 1.664108304e+002 2.0e-009 15.76
42 3.2e-006 2.1e-002 2.1e-004 1.00e+000 1.664027549e+002 1.664105566e+002 1.8e-009 15.79
43 2.8e-006 2.0e-002 1.9e-004 1.00e+000 1.664032886e+002 1.664103099e+002 1.6e-009 15.82
44 2.6e-006 1.9e-002 1.7e-004 1.00e+000 1.664037687e+002 1.664100876e+002 1.4e-009 15.83
45 2.3e-006 1.8e-002 1.5e-004 1.00e+000 1.664042005e+002 1.664098874e+002 1.3e-009 15.87
46 2.1e-006 1.7e-002 1.4e-004 1.00e+000 1.664045890e+002 1.664097071e+002 1.2e-009 15.90
47 1.9e-006 1.6e-002 1.2e-004 1.00e+000 1.664049386e+002 1.664095447e+002 1.0e-009 17.05
48 1.7e-006 1.5e-002 1.1e-004 1.00e+000 1.664052530e+002 1.664093984e+002 9.4e-010 17.11
49 1.5e-006 1.4e-002 9.9e-005 1.00e+000 1.664055359e+002 1.664092668e+002 8.4e-010 17.16
50 1.4e-006 1.4e-002 8.9e-005 1.00e+000 1.664057904e+002 1.664091482e+002 7.6e-010 17.22
51 1.2e-006 1.3e-002 8.0e-005 1.00e+000 1.664060194e+002 1.664090414e+002 6.8e-010 17.47
52 1.1e-006 1.2e-002 7.2e-005 1.00e+000 1.664062255e+002 1.664089452e+002 6.1e-010 17.52
53 9.9e-007 1.2e-002 6.5e-005 1.00e+000 1.664064109e+002 1.664088586e+002 5.5e-010 17.55
54 8.9e-007 1.2e-002 5.9e-005 1.00e+000 1.664065777e+002 1.664087806e+002 5.0e-010 17.58
55 8.0e-007 1.1e-002 5.3e-005 1.00e+000 1.664067277e+002 1.664087104e+002 4.5e-010 17.61
56 7.2e-007 1.1e-002 4.7e-005 9.99e-001 1.664068627e+002 1.664086472e+002 4.0e-010 17.64
57 6.5e-007 1.0e-002 4.3e-005 1.00e+000 1.664069842e+002 1.664085902e+002 3.6e-010 17.68
58 5.8e-007 1.0e-002 3.8e-005 1.00e+000 1.664070934e+002 1.664085388e+002 3.3e-010 17.71
59 5.3e-007 9.9e-003 3.5e-005 1.00e+000 1.664071917e+002 1.664084926e+002 2.9e-010 17.74
60 4.7e-007 9.7e-003 3.1e-005 1.00e+000 1.664072801e+002 1.664084509e+002 2.6e-010 17.77
61 4.3e-007 9.5e-003 2.8e-005 1.00e+000 1.664073596e+002 1.664084133e+002 2.4e-010 17.80
62 3.8e-007 9.3e-003 2.5e-005 1.00e+000 1.664074312e+002 1.664083795e+002 2.1e-010 17.83
63 3.5e-007 9.1e-003 2.3e-005 9.98e-001 1.664074955e+002 1.664083491e+002 1.9e-010 17.86
64 3.1e-007 9.0e-003 2.0e-005 1.00e+000 1.664075534e+002 1.664083216e+002 1.7e-010 17.92
65 2.8e-007 8.8e-003 1.8e-005 9.99e-001 1.664076055e+002 1.664082969e+002 1.6e-010 17.99
66 2.5e-007 8.7e-003 1.7e-005 1.00e+000 1.664076524e+002 1.664082746e+002 1.4e-010 18.07
67 2.3e-007 8.6e-003 1.5e-005 9.98e-001 1.664076945e+002 1.664082546e+002 1.3e-010 18.13
68 2.0e-007 8.5e-003 1.3e-005 9.98e-001 1.664077324e+002 1.664082365e+002 1.1e-010 18.17
69 1.8e-007 8.4e-003 1.2e-005 1.00e+000 1.664077666e+002 1.664082203e+002 1.0e-010 18.24
70 1.7e-007 8.3e-003 1.1e-005 1.00e+000 1.664077973e+002 1.664082056e+002 9.2e-011 18.27
71 1.5e-007 8.2e-003 9.8e-006 1.00e+000 1.664078251e+002 1.664081923e+002 8.3e-011 18.30
72 1.3e-007 8.2e-003 8.8e-006 1.00e+000 1.664078500e+002 1.664081804e+002 7.5e-011 18.33
73 1.2e-007 8.1e-003 7.9e-006 1.01e+000 1.664078726e+002 1.664081695e+002 6.7e-011 18.38
74 1.1e-007 8.1e-003 7.1e-006 1.01e+000 1.664078929e+002 1.664081598e+002 6.1e-011 18.42
75 9.8e-008 8.0e-003 6.4e-006 9.96e-001 1.664079110e+002 1.664081512e+002 5.5e-011 18.84
76 8.8e-008 8.0e-003 5.8e-006 9.98e-001 1.664079272e+002 1.664081435e+002 4.9e-011 18.88
77 7.9e-008 7.9e-003 5.2e-006 9.98e-001 1.664079419e+002 1.664081365e+002 4.4e-011 18.94
78 7.1e-008 7.1e-003 4.7e-006 1.01e+000 1.664079556e+002 1.664081299e+002 4.0e-011 18.97
79 6.4e-008 6.4e-003 4.2e-006 1.00e+000 1.664079674e+002 1.664081243e+002 3.6e-011 19.00
80 5.8e-008 5.8e-003 3.8e-006 1.00e+000 1.664079780e+002 1.664081192e+002 3.2e-011 19.03
81 5.2e-008 5.2e-003 3.4e-006 9.94e-001 1.664079876e+002 1.664081147e+002 2.9e-011 19.06
82 4.7e-008 4.7e-003 3.1e-006 9.76e-001 1.664079961e+002 1.664081107e+002 2.6e-011 19.09
83 4.2e-008 4.2e-003 2.8e-006 1.00e+000 1.664080039e+002 1.664081069e+002 2.4e-011 19.13
84 3.8e-008 3.8e-003 2.5e-006 1.00e+000 1.664080109e+002 1.664081036e+002 2.1e-011 19.16
85 3.4e-008 3.4e-003 2.2e-006 9.80e-001 1.664080171e+002 1.664081006e+002 1.9e-011 19.19
86 3.1e-008 3.1e-003 2.0e-006 9.98e-001 1.664080228e+002 1.664080979e+002 1.7e-011 19.22
87 2.8e-008 2.8e-003 1.8e-006 9.75e-001 1.664080278e+002 1.664080955e+002 1.6e-011 19.25
88 2.5e-008 2.5e-003 1.6e-006 9.84e-001 1.664080324e+002 1.664080934e+002 1.4e-011 19.30
89 2.2e-008 2.2e-003 1.5e-006 9.53e-001 1.664080365e+002 1.664080915e+002 1.3e-011 19.33
90 2.0e-008 2.0e-003 1.3e-006 1.06e+000 1.664080412e+002 1.664080891e+002 1.2e-011 19.38
91 1.8e-008 1.8e-003 1.2e-006 1.01e+000 1.664080445e+002 1.664080875e+002 1.0e-011 19.42
92 1.6e-008 1.6e-003 1.1e-006 9.86e-001 1.664080474e+002 1.664080861e+002 9.4e-012 19.48
93 1.5e-008 1.5e-003 9.6e-007 1.00e+000 1.664080500e+002 1.664080849e+002 8.5e-012 19.55
94 1.3e-008 1.3e-003 8.7e-007 9.51e-001 1.664080523e+002 1.664080838e+002 7.7e-012 19.59
95 1.2e-008 1.2e-003 7.8e-007 8.97e-001 1.664080544e+002 1.664080829e+002 6.9e-012 19.64
96 1.1e-008 1.1e-003 7.0e-007 1.06e+000 1.664080569e+002 1.664080816e+002 6.4e-012 19.69
97 9.8e-009 9.6e-004 6.3e-007 1.02e+000 1.664080586e+002 1.664080807e+002 5.8e-012 19.73
98 9.2e-009 8.7e-004 5.7e-007 1.17e+000 1.664080613e+002 1.664080792e+002 5.7e-012 19.78
99 8.3e-009 7.8e-004 5.1e-007 1.04e+000 1.664080627e+002 1.664080785e+002 5.2e-012 19.81
100 7.4e-009 7.0e-004 4.6e-007 1.06e+000 1.664080641e+002 1.664080779e+002 4.8e-012 19.86
101 6.7e-009 6.3e-004 4.1e-007 1.28e+000 1.664080651e+002 1.664080774e+002 4.3e-012 19.91
102 6.4e-009 5.7e-004 3.7e-007 1.02e+000 1.664080660e+002 1.664080770e+002 3.9e-012 19.95
103 5.8e-009 5.1e-004 3.4e-007 1.05e+000 1.664080669e+002 1.664080765e+002 3.6e-012 19.98
104 5.1e-009 4.6e-004 3.0e-007 1.13e+000 1.664080680e+002 1.664080760e+002 3.5e-012 20.02
105 4.8e-009 4.1e-004 2.7e-007 9.66e-001 1.664080685e+002 1.664080757e+002 3.1e-012 20.05
106 4.2e-009 3.7e-004 2.4e-007 8.76e-001 1.664080690e+002 1.664080755e+002 2.8e-012 20.08
107 3.9e-009 3.4e-004 2.2e-007 1.35e+000 1.664080695e+002 1.664080753e+002 2.5e-012 20.11
108 3.5e-009 3.0e-004 2.0e-007 9.77e-001 1.664080699e+002 1.664080751e+002 2.3e-012 20.16
109 3.1e-009 2.7e-004 1.8e-007 9.07e-001 1.664080702e+002 1.664080750e+002 2.1e-012 20.20
110 2.7e-009 2.4e-004 1.6e-007 9.42e-001 1.664080706e+002 1.664080748e+002 1.8e-012 20.25
111 2.5e-009 2.2e-004 1.4e-007 9.24e-001 1.664080709e+002 1.664080747e+002 1.7e-012 20.30
112 4.0e-009 2.5e-005 1.6e-008 7.94e-001 1.664080733e+002 1.664080738e+002 3.1e-013 20.34
Interior-point optimizer terminated. Time: 20.36.
Optimizer terminated. Time: 20.78
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807333e+002 Viol. con: 1e-007 var: 0e+000
Dual. obj: 1.6640807381e+002 Viol. con: 0e+000 var: 1e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 20.8 seconds.
Solving took 9 GP solves and 227 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: 1.4957414302274875e+110 vs 1.49570023871e+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
Solution check warning: Primal solution computed cost did not match solver-returned cost: 3.705394551272728e+72 vs 3.70524453267e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682473]
Total Aircraft Weight Percent Diff: [-21.48057141]
Engine Weight Percent Diff: -56.27829076325984
Fuselage Weight Percent Diff: -0.8697432168019366
Payload Weight Percent Diff: [-0.04003561]
VT Weight Percent Diff: -8.607970591599196
HT Weight Percent Diff: -93.23331714020698
Wing Weight Percent Diff: 8.267526427905608
WING DIFFERENCES
Wing Span Percent Diff: -0.029992695733451095
Wing Area Percent Diff: 32.899703512583386
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.48857362916951
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022358172536977
VT Area Percent Diff: -60.386851431363326
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54716613]
L/D Percent Diff: [24.01023488]
Nacelle Cd Percent Diff: [-94.27641733]
HT Cd Percent Diff: [-80.76941716] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00293169] dimensionless
Wing Cd percent Diff: [-14.22911024]
Induced Drag Cd Percent Diff: [1.21949755]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.5703575]
FUSELAGE DIFFERENCES
Weight of HB material: -38.36122400111392
Weight of VB material: 87.8155919263671
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260514]
Mission1
========
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission1.Aircraft.Wing.WingBox.N_{lift} = 3
Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission1.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission1.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*Mission1.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission1.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission1.Aircraft.Wing.WingBox.r_{w/c} = Mission1.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission1.Aircraft.Fuselage.N_{lift} = Mission1.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission1.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission1.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission1.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission1.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
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 : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3438 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 : 1.64e+004 after factor : 1.45e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 2.9e+003 1.3e+005 0.00e+000 -1.280976207e+005 2.000000000e+000 1.0e+000 0.09
1 1.1e+003 1.4e+003 6.3e+004 -9.71e-001 -1.260360597e+005 3.611424052e+000 4.9e-001 0.16
2 4.1e+002 5.3e+002 2.3e+004 -9.38e-001 -1.195206719e+005 1.063331153e+001 1.8e-001 0.22
3 2.9e+002 3.7e+002 1.6e+004 -8.34e-001 -1.151942168e+005 6.795829655e+001 1.3e-001 0.30
4 2.8e+002 3.7e+002 1.6e+004 -7.59e-001 -1.127212826e+005 2.109723808e+003 1.3e-001 0.36
5 8.8e+001 1.1e+002 5.0e+003 -7.53e-001 -8.071413615e+004 8.411072422e+003 3.9e-002 0.42
6 3.7e+001 4.8e+001 2.1e+003 -2.93e-001 -4.787028059e+004 1.016025756e+004 1.6e-002 1.12
7 2.1e+001 2.8e+001 1.2e+003 2.52e-001 -3.173778936e+004 7.155034269e+003 9.5e-003 1.17
8 9.4e+000 1.2e+001 5.3e+002 5.36e-001 -1.511150083e+004 4.167123567e+003 4.2e-003 1.20
9 5.5e+000 7.1e+000 3.1e+002 8.14e-001 -8.836155418e+003 2.832992813e+003 2.5e-003 1.23
10 1.3e+000 1.7e+000 7.6e+001 9.07e-001 -2.021517100e+003 9.278094940e+002 6.1e-004 1.26
11 7.0e-001 9.1e-001 4.0e+001 9.94e-001 -8.292899266e+002 7.204982019e+002 3.2e-004 1.29
12 4.7e-001 6.1e-001 2.7e+001 9.97e-001 -4.810408396e+002 5.632816117e+002 2.1e-004 1.33
13 3.5e-001 7.3e-001 2.0e+001 9.79e-001 -3.119899248e+002 4.857188935e+002 1.6e-004 1.36
14 1.7e-001 3.5e-001 9.8e+000 9.96e-001 -1.727746611e+001 3.656933383e+002 7.9e-005 1.39
15 5.5e-002 1.5e-001 3.2e+000 9.94e-001 1.624902967e+002 2.901499707e+002 2.7e-005 1.45
16 3.2e-002 1.3e-001 1.9e+000 1.00e+000 1.999027139e+002 2.746125040e+002 1.6e-005 1.48
17 5.1e-003 1.8e-001 3.2e-001 1.00e+000 2.445305033e+002 2.572371524e+002 2.8e-006 1.95
18 1.5e-003 1.3e-001 9.6e-002 1.00e+000 2.509424510e+002 2.546897023e+002 8.3e-007 1.98
19 4.8e-004 1.1e-001 3.2e-002 1.00e+000 2.527845502e+002 2.540210950e+002 2.8e-007 2.01
20 2.1e-004 8.6e-002 1.4e-002 1.00e+000 2.532880856e+002 2.538352203e+002 1.2e-007 2.04
21 1.9e-004 7.8e-002 1.3e-002 1.00e+000 2.533292209e+002 2.538216573e+002 1.1e-007 2.08
22 1.7e-004 7.1e-002 1.1e-002 1.00e+000 2.533650962e+002 2.538082643e+002 1.0e-007 2.11
23 1.5e-004 6.4e-002 1.0e-002 1.00e+000 2.533974267e+002 2.537962616e+002 9.0e-008 2.15
24 1.4e-004 5.9e-002 9.2e-003 1.00e+000 2.534264980e+002 2.537854354e+002 8.1e-008 2.18
25 1.2e-004 5.4e-002 8.3e-003 1.00e+000 2.534526435e+002 2.537756756e+002 7.3e-008 2.21
26 1.1e-004 4.9e-002 7.5e-003 1.00e+000 2.534761571e+002 2.537668763e+002 6.5e-008 2.23
27 1.0e-004 4.5e-002 6.7e-003 1.00e+000 2.534973060e+002 2.537589453e+002 5.9e-008 2.26
28 9.0e-005 4.1e-002 6.1e-003 1.00e+000 2.535163290e+002 2.537517977e+002 5.3e-008 2.31
29 8.1e-005 3.8e-002 5.4e-003 1.00e+000 2.535334405e+002 2.537453571e+002 4.8e-008 2.37
30 7.3e-005 3.5e-002 4.9e-003 1.00e+000 2.535488335e+002 2.537395540e+002 4.3e-008 2.40
31 6.6e-005 3.2e-002 4.4e-003 1.00e+000 2.535626808e+002 2.537343259e+002 3.9e-008 2.43
32 5.9e-005 3.0e-002 4.0e-003 1.00e+000 2.535751383e+002 2.537296160e+002 3.5e-008 2.46
33 5.3e-005 2.7e-002 3.6e-003 1.00e+000 2.535863455e+002 2.537253733e+002 3.1e-008 2.50
34 4.8e-005 2.5e-002 3.2e-003 1.00e+000 2.535964283e+002 2.537215515e+002 2.8e-008 2.53
35 4.3e-005 2.4e-002 2.9e-003 1.00e+000 2.536054996e+002 2.537181092e+002 2.5e-008 2.56
36 3.9e-005 2.2e-002 2.6e-003 1.00e+000 2.536136611e+002 2.537150086e+002 2.3e-008 2.59
37 3.5e-005 2.0e-002 2.3e-003 1.00e+000 2.536210042e+002 2.537122161e+002 2.1e-008 2.62
38 3.2e-005 1.9e-002 2.1e-003 1.00e+000 2.536276109e+002 2.537097011e+002 1.9e-008 2.65
39 2.8e-005 1.8e-002 1.9e-003 1.00e+000 2.536335554e+002 2.537074360e+002 1.7e-008 2.68
40 2.6e-005 1.7e-002 1.7e-003 1.00e+000 2.536389040e+002 2.537053963e+002 1.5e-008 2.71
41 2.3e-005 1.6e-002 1.5e-003 1.00e+000 2.536437166e+002 2.537035594e+002 1.3e-008 2.76
42 2.1e-005 1.5e-002 1.4e-003 1.00e+000 2.536480470e+002 2.537019053e+002 1.2e-008 2.79
43 1.9e-005 1.4e-002 1.2e-003 1.00e+000 2.536519435e+002 2.537004159e+002 1.1e-008 2.82
44 1.7e-005 1.4e-002 1.1e-003 1.00e+000 2.536554497e+002 2.536990748e+002 9.8e-009 2.86
45 1.5e-005 1.3e-002 1.0e-003 1.00e+000 2.536586047e+002 2.536978672e+002 8.9e-009 2.89
46 1.4e-005 1.3e-002 9.1e-004 1.00e+000 2.536614438e+002 2.536967800e+002 8.0e-009 2.93
47 1.2e-005 1.2e-002 8.2e-004 1.00e+000 2.536639986e+002 2.536958012e+002 7.2e-009 3.00
48 1.1e-005 1.2e-002 7.4e-004 1.00e+000 2.536662977e+002 2.536949200e+002 6.5e-009 3.06
49 9.9e-006 1.1e-002 6.6e-004 1.00e+000 2.536683666e+002 2.536941267e+002 5.8e-009 3.12
50 8.9e-006 1.1e-002 6.0e-004 1.00e+000 2.536702284e+002 2.536934125e+002 5.2e-009 3.18
51 8.0e-006 1.0e-002 5.4e-004 1.00e+000 2.536719038e+002 2.536927696e+002 4.7e-009 3.25
52 7.2e-006 1.0e-002 4.8e-004 1.00e+000 2.536734116e+002 2.536921909e+002 4.2e-009 3.31
53 6.5e-006 9.9e-003 4.3e-004 1.00e+000 2.536747686e+002 2.536916699e+002 3.8e-009 3.37
54 5.8e-006 9.6e-003 3.9e-004 1.00e+000 2.536759897e+002 2.536912009e+002 3.4e-009 3.42
55 5.3e-006 9.4e-003 3.5e-004 1.00e+000 2.536770886e+002 2.536907788e+002 3.1e-009 3.50
56 4.7e-006 9.2e-003 3.2e-004 1.00e+000 2.536780776e+002 2.536903988e+002 2.8e-009 3.54
57 4.3e-006 9.0e-003 2.9e-004 1.00e+000 2.536789676e+002 2.536900567e+002 2.5e-009 3.57
58 3.8e-006 8.9e-003 2.6e-004 1.00e+000 2.536797685e+002 2.536897488e+002 2.3e-009 3.62
59 3.4e-006 8.7e-003 2.3e-004 1.00e+000 2.536804894e+002 2.536894716e+002 2.0e-009 3.65
60 3.1e-006 8.6e-003 2.1e-004 1.00e+000 2.536811381e+002 2.536892221e+002 1.8e-009 3.90
61 1.2e-006 3.3e-003 8.1e-005 1.00e+000 2.536846983e+002 2.536878513e+002 7.1e-010 3.93
62 1.1e-006 3.0e-003 7.3e-005 1.00e+000 2.536849266e+002 2.536877643e+002 6.4e-010 3.96
63 3.9e-007 1.1e-003 2.6e-005 1.00e+000 2.536862390e+002 2.536872586e+002 2.3e-010 4.01
64 3.5e-007 9.7e-004 2.4e-005 1.00e+000 2.536863126e+002 2.536872304e+002 2.1e-010 4.04
65 3.2e-007 8.8e-004 2.1e-005 1.00e+000 2.536863788e+002 2.536872048e+002 1.9e-010 4.09
66 2.8e-007 7.9e-004 1.9e-005 1.00e+000 2.536864385e+002 2.536871818e+002 1.7e-010 4.13
67 2.6e-007 7.1e-004 1.7e-005 1.00e+000 2.536864921e+002 2.536871611e+002 1.5e-010 4.17
68 2.3e-007 6.4e-004 1.5e-005 1.00e+000 2.536865404e+002 2.536871425e+002 1.4e-010 4.21
69 2.1e-007 5.7e-004 1.4e-005 9.99e-001 2.536865838e+002 2.536871257e+002 1.2e-010 4.24
70 1.9e-007 5.2e-004 1.3e-005 1.00e+000 2.536866229e+002 2.536871106e+002 1.1e-010 4.29
71 1.7e-007 4.7e-004 1.1e-005 9.99e-001 2.536866581e+002 2.536870970e+002 9.9e-011 4.37
72 1.5e-007 4.2e-004 1.0e-005 1.00e+000 2.536866898e+002 2.536870848e+002 8.9e-011 4.42
73 1.4e-007 3.8e-004 9.1e-006 1.00e+000 2.536867182e+002 2.536870738e+002 8.0e-011 4.48
74 1.2e-007 3.4e-004 8.2e-006 1.00e+000 2.536867439e+002 2.536870639e+002 7.2e-011 4.54
75 1.1e-007 3.1e-004 7.4e-006 1.00e+000 2.536867670e+002 2.536870550e+002 6.5e-011 4.59
76 9.9e-008 2.7e-004 6.7e-006 1.00e+000 2.536867878e+002 2.536870469e+002 5.8e-011 4.65
77 8.9e-008 2.5e-004 6.0e-006 9.99e-001 2.536868065e+002 2.536870397e+002 5.3e-011 4.71
78 8.0e-008 2.2e-004 5.4e-006 1.00e+000 2.536868233e+002 2.536870332e+002 4.7e-011 4.99
79 7.2e-008 2.0e-004 4.9e-006 1.00e+000 2.536868384e+002 2.536870274e+002 4.3e-011 5.04
80 6.5e-008 1.8e-004 4.4e-006 1.00e+000 2.536868521e+002 2.536870221e+002 3.8e-011 5.07
81 5.9e-008 1.6e-004 3.9e-006 9.99e-001 2.536868643e+002 2.536870173e+002 3.5e-011 5.12
82 5.3e-008 1.5e-004 3.5e-006 1.00e+000 2.536868754e+002 2.536870131e+002 3.1e-011 5.15
83 4.8e-008 1.3e-004 3.2e-006 9.98e-001 2.536868853e+002 2.536870092e+002 2.8e-011 5.18
84 4.3e-008 1.2e-004 2.9e-006 9.97e-001 2.536868942e+002 2.536870058e+002 2.5e-011 5.21
85 3.8e-008 1.1e-004 2.6e-006 1.00e+000 2.536869023e+002 2.536870027e+002 2.3e-011 5.24
86 3.5e-008 9.6e-005 2.3e-006 9.95e-001 2.536869095e+002 2.536869999e+002 2.0e-011 5.29
87 3.1e-008 8.6e-005 2.1e-006 1.00e+000 2.536869160e+002 2.536869974e+002 1.8e-011 5.34
88 2.8e-008 7.8e-005 1.9e-006 1.00e+000 2.536869219e+002 2.536869951e+002 1.7e-011 5.37
89 2.5e-008 7.0e-005 1.7e-006 9.99e-001 2.536869272e+002 2.536869930e+002 1.5e-011 5.40
90 2.3e-008 6.3e-005 1.5e-006 1.00e+000 2.536869320e+002 2.536869912e+002 1.3e-011 5.41
91 2.0e-008 5.7e-005 1.4e-006 9.95e-001 2.536869362e+002 2.536869895e+002 1.2e-011 5.45
92 1.8e-008 5.1e-005 1.2e-006 9.92e-001 2.536869401e+002 2.536869881e+002 1.1e-011 5.51
93 1.7e-008 4.6e-005 1.1e-006 1.00e+000 2.536869436e+002 2.536869867e+002 9.8e-012 5.55
94 1.5e-008 4.1e-005 1.0e-006 9.97e-001 2.536869467e+002 2.536869855e+002 8.8e-012 5.90
95 1.3e-008 3.7e-005 9.0e-007 1.01e+000 2.536869496e+002 2.536869844e+002 7.9e-012 5.93
96 1.2e-008 3.3e-005 8.1e-007 1.00e+000 2.536869521e+002 2.536869834e+002 7.2e-012 5.96
97 1.1e-008 3.0e-005 7.3e-007 9.88e-001 2.536869543e+002 2.536869825e+002 6.4e-012 6.01
98 9.8e-009 2.7e-005 6.6e-007 1.02e+000 2.536869565e+002 2.536869817e+002 5.8e-012 6.04
Interior-point optimizer terminated. Time: 6.04.
Optimizer terminated. Time: 6.30
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695650e+002 Viol. con: 2e-007 var: 0e+000
Dual. obj: 2.5368698168e+002 Viol. con: 0e+000 var: 2e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 6.34 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
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 : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 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 : 1.64e+004 after factor : 1.45e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.3e+005 0.00e+000 -1.281787446e+005 2.000000000e+000 1.0e+000 0.06
1 1.1e+003 1.4e+003 6.0e+004 -9.71e-001 -1.259414228e+005 3.780941016e+000 4.7e-001 0.09
2 4.6e+002 5.9e+002 2.6e+004 -9.35e-001 -1.205918795e+005 9.868922463e+000 2.0e-001 0.12
3 2.9e+002 3.7e+002 1.6e+004 -8.50e-001 -1.154239527e+005 5.250197662e+001 1.3e-001 0.16
4 2.9e+002 3.7e+002 1.6e+004 -7.62e-001 -1.133019475e+005 1.862130071e+003 1.3e-001 0.19
5 8.3e+001 1.1e+002 4.6e+003 -7.57e-001 -7.812142135e+004 9.031239868e+003 3.6e-002 0.23
6 3.6e+001 4.6e+001 2.0e+003 -2.53e-001 -4.675648506e+004 1.010078025e+004 1.6e-002 0.27
7 1.9e+001 2.4e+001 1.0e+003 2.76e-001 -2.801894094e+004 6.402312532e+003 8.2e-003 0.28
8 9.2e+000 1.2e+001 5.1e+002 6.02e-001 -1.471216447e+004 4.005088019e+003 4.0e-003 0.31
9 5.7e+000 7.3e+000 3.2e+002 8.20e-001 -9.206577455e+003 2.776623631e+003 2.5e-003 0.34
10 1.9e+000 2.4e+000 1.1e+002 9.02e-001 -2.967188175e+003 1.150548894e+003 8.4e-004 0.37
11 1.6e+000 2.0e+000 8.8e+001 9.75e-001 -2.411824772e+003 1.013250415e+003 7.0e-004 0.41
12 1.0e+000 1.4e+000 5.6e+001 9.78e-001 -1.467425463e+003 7.220754909e+002 4.4e-004 0.44
13 4.6e-001 6.8e-001 2.6e+001 9.83e-001 -5.896881043e+002 4.319680906e+002 2.1e-004 0.47
14 2.5e-001 3.8e-001 1.4e+001 1.00e+000 -2.320840416e+002 3.288887892e+002 1.1e-004 0.50
15 1.0e-001 1.6e-001 5.7e+000 1.00e+000 1.044654160e+001 2.360029452e+002 4.6e-005 0.53
16 4.7e-002 1.0e-001 2.7e+000 1.00e+000 9.574907882e+001 2.020284055e+002 2.2e-005 0.56
17 1.0e-002 1.4e-001 6.2e-001 1.01e+000 1.548431165e+002 1.790677306e+002 5.2e-006 0.59
18 6.3e-003 1.0e-001 3.9e-001 1.01e+000 1.614292032e+002 1.765011128e+002 3.2e-006 0.64
19 1.6e-003 1.2e-001 1.0e-001 1.01e+000 1.695627757e+002 1.734405842e+002 8.5e-007 0.69
20 3.4e-004 1.4e-001 2.2e-002 1.01e+000 1.717721238e+002 1.726293361e+002 1.9e-007 0.73
21 1.4e-004 1.0e-001 9.5e-003 9.94e-001 1.721372136e+002 1.725037900e+002 8.3e-008 0.80
22 8.9e-005 8.2e-002 6.0e-003 1.00e+000 1.722347055e+002 1.724653291e+002 5.2e-008 0.86
23 8.0e-005 7.6e-002 5.4e-003 1.00e+000 1.722527903e+002 1.724604212e+002 4.7e-008 0.94
24 7.2e-005 6.9e-002 4.8e-003 1.00e+000 1.722680411e+002 1.724549097e+002 4.2e-008 0.95
25 6.5e-005 6.3e-002 4.3e-003 1.00e+000 1.722818157e+002 1.724499966e+002 3.8e-008 1.06
26 5.9e-005 5.7e-002 3.9e-003 1.00e+000 1.722941842e+002 1.724455455e+002 3.4e-008 1.09
27 5.3e-005 5.2e-002 3.5e-003 1.00e+000 1.723053032e+002 1.724415268e+002 3.1e-008 1.12
28 4.7e-005 4.8e-002 3.2e-003 1.00e+000 1.723152953e+002 1.724378950e+002 2.8e-008 1.14
29 4.3e-005 4.4e-002 2.8e-003 1.00e+000 1.723242746e+002 1.724346129e+002 2.5e-008 1.17
30 3.8e-005 4.0e-002 2.6e-003 1.00e+000 1.723323436e+002 1.724316468e+002 2.2e-008 1.20
31 3.5e-005 3.7e-002 2.3e-003 1.00e+000 1.723395949e+002 1.724289667e+002 2.0e-008 1.25
32 3.1e-005 3.4e-002 2.1e-003 1.00e+000 1.723461118e+002 1.724265456e+002 1.8e-008 1.28
33 2.8e-005 3.2e-002 1.9e-003 1.00e+000 1.723519694e+002 1.724243591e+002 1.6e-008 1.31
34 2.5e-005 2.9e-002 1.7e-003 1.00e+000 1.723572350e+002 1.724223851e+002 1.5e-008 1.34
35 2.3e-005 2.7e-002 1.5e-003 1.00e+000 1.723619689e+002 1.724206035e+002 1.3e-008 1.36
36 2.0e-005 2.5e-002 1.4e-003 1.00e+000 1.723662252e+002 1.724189961e+002 1.2e-008 1.39
37 1.8e-005 2.4e-002 1.2e-003 1.00e+000 1.723700525e+002 1.724175460e+002 1.1e-008 1.45
38 1.7e-005 2.2e-002 1.1e-003 1.00e+000 1.723734941e+002 1.724162381e+002 9.7e-009 1.51
39 1.5e-005 2.1e-002 9.9e-004 1.00e+000 1.723765893e+002 1.724150587e+002 8.7e-009 1.58
40 1.3e-005 1.9e-002 8.9e-004 1.00e+000 1.723793729e+002 1.724139954e+002 7.8e-009 1.75
41 1.2e-005 1.8e-002 8.0e-004 1.00e+000 1.723818766e+002 1.724130367e+002 7.1e-009 1.78
42 1.1e-005 1.7e-002 7.2e-004 1.00e+000 1.723841285e+002 1.724121726e+002 6.4e-009 1.81
43 9.8e-006 1.6e-002 6.5e-004 1.00e+000 1.723861540e+002 1.724113937e+002 5.7e-009 1.83
44 8.8e-006 1.5e-002 5.9e-004 1.00e+000 1.723879761e+002 1.724106918e+002 5.1e-009 1.87
45 7.9e-006 1.5e-002 5.3e-004 1.00e+000 1.723896151e+002 1.724100593e+002 4.6e-009 1.90
46 7.1e-006 1.4e-002 4.8e-004 1.00e+000 1.723910895e+002 1.724094893e+002 4.2e-009 1.92
47 6.4e-006 1.3e-002 4.3e-004 1.00e+000 1.723924159e+002 1.724089758e+002 3.8e-009 1.95
48 5.8e-006 1.3e-002 3.9e-004 1.00e+000 1.723936092e+002 1.724085132e+002 3.4e-009 1.98
49 5.2e-006 1.2e-002 3.5e-004 1.00e+000 1.723946828e+002 1.724080964e+002 3.0e-009 2.01
50 4.7e-006 1.2e-002 3.1e-004 1.00e+000 1.723956487e+002 1.724077210e+002 2.7e-009 2.04
51 4.2e-006 1.1e-002 2.8e-004 1.00e+000 1.723965177e+002 1.724073828e+002 2.5e-009 2.07
52 3.8e-006 1.1e-002 2.5e-004 1.00e+000 1.723972996e+002 1.724070783e+002 2.2e-009 2.11
53 3.4e-006 1.1e-002 2.3e-004 1.00e+000 1.723980031e+002 1.724068039e+002 2.0e-009 2.14
54 3.1e-006 1.0e-002 2.0e-004 1.00e+000 1.723986361e+002 1.724065569e+002 1.8e-009 2.17
55 2.8e-006 1.0e-002 1.8e-004 1.00e+000 1.723992057e+002 1.724063344e+002 1.6e-009 2.20
56 2.5e-006 9.7e-003 1.7e-004 1.00e+000 1.723997182e+002 1.724061341e+002 1.5e-009 2.23
57 2.2e-006 9.5e-003 1.5e-004 1.00e+000 1.724001793e+002 1.724059536e+002 1.3e-009 2.28
58 2.0e-006 9.3e-003 1.3e-004 1.00e+000 1.724005942e+002 1.724057912e+002 1.2e-009 2.31
59 1.8e-006 9.1e-003 1.2e-004 1.00e+000 1.724009676e+002 1.724056449e+002 1.1e-009 2.34
60 1.6e-006 9.0e-003 1.1e-004 1.00e+000 1.724013036e+002 1.724055131e+002 9.5e-010 2.37
61 1.5e-006 8.8e-003 9.8e-005 1.00e+000 1.724016059e+002 1.724053945e+002 8.6e-010 2.40
62 1.3e-006 8.7e-003 8.8e-005 1.00e+000 1.724018779e+002 1.724052877e+002 7.7e-010 2.43
63 1.2e-006 8.6e-003 7.9e-005 1.00e+000 1.724021227e+002 1.724051916e+002 7.0e-010 2.48
64 1.1e-006 8.5e-003 7.1e-005 1.00e+000 1.724023430e+002 1.724051050e+002 6.3e-010 2.81
65 9.6e-007 8.4e-003 6.4e-005 1.00e+000 1.724025413e+002 1.724050270e+002 5.6e-010 2.84
66 8.7e-007 8.3e-003 5.8e-005 1.00e+000 1.724027196e+002 1.724049569e+002 5.1e-010 2.87
67 7.8e-007 8.2e-003 5.2e-005 1.00e+000 1.724028802e+002 1.724048937e+002 4.6e-010 2.90
68 7.0e-007 8.1e-003 4.7e-005 1.00e+000 1.724030246e+002 1.724048368e+002 4.1e-010 2.93
69 6.3e-007 8.0e-003 4.2e-005 1.00e+000 1.724031546e+002 1.724047856e+002 3.7e-010 2.98
70 5.7e-007 8.0e-003 3.8e-005 1.00e+000 1.724032716e+002 1.724047394e+002 3.3e-010 3.01
71 5.1e-007 7.9e-003 3.4e-005 1.00e+000 1.724033768e+002 1.724046979e+002 3.0e-010 3.04
72 4.6e-007 7.9e-003 3.1e-005 1.00e+000 1.724034715e+002 1.724046605e+002 2.7e-010 3.07
73 4.1e-007 7.8e-003 2.8e-005 1.00e+000 1.724035568e+002 1.724046269e+002 2.4e-010 3.10
74 3.7e-007 7.8e-003 2.5e-005 1.00e+000 1.724036335e+002 1.724045966e+002 2.2e-010 3.13
75 3.4e-007 7.7e-003 2.2e-005 1.00e+000 1.724037025e+002 1.724045693e+002 2.0e-010 3.17
76 3.0e-007 7.7e-003 2.0e-005 1.00e+000 1.724037646e+002 1.724045447e+002 1.8e-010 3.20
77 2.7e-007 7.7e-003 1.8e-005 1.00e+000 1.724038205e+002 1.724045226e+002 1.6e-010 3.21
78 2.4e-007 7.6e-003 1.6e-005 1.00e+000 1.724038708e+002 1.724045027e+002 1.4e-010 3.24
79 2.2e-007 7.6e-003 1.5e-005 1.00e+000 1.724039161e+002 1.724044848e+002 1.3e-010 3.28
80 2.0e-007 7.6e-003 1.3e-005 1.00e+000 1.724039568e+002 1.724044687e+002 1.2e-010 3.31
81 1.8e-007 7.5e-003 1.2e-005 1.00e+000 1.724039935e+002 1.724044541e+002 1.0e-010 3.37
82 1.6e-007 7.5e-003 1.1e-005 1.00e+000 1.724040265e+002 1.724044410e+002 9.4e-011 3.42
83 1.4e-007 7.5e-003 9.6e-006 1.00e+000 1.724040561e+002 1.724044293e+002 8.5e-011 3.46
84 1.3e-007 7.5e-003 8.7e-006 1.00e+000 1.724040829e+002 1.724044187e+002 7.6e-011 3.52
85 1.2e-007 7.5e-003 7.8e-006 1.00e+000 1.724041069e+002 1.724044091e+002 6.9e-011 3.57
86 1.1e-007 7.4e-003 7.0e-006 1.00e+000 1.724041285e+002 1.724044005e+002 6.2e-011 3.63
87 9.5e-008 7.4e-003 6.3e-006 1.00e+000 1.724041480e+002 1.724043928e+002 5.6e-011 3.68
88 8.5e-008 7.4e-003 5.7e-006 1.00e+000 1.724041655e+002 1.724043858e+002 5.0e-011 3.98
89 7.7e-008 7.4e-003 5.1e-006 1.00e+000 1.724041813e+002 1.724043796e+002 4.5e-011 4.01
90 6.9e-008 7.4e-003 4.6e-006 1.00e+000 1.724041955e+002 1.724043739e+002 4.0e-011 4.04
91 6.2e-008 7.4e-003 4.2e-006 1.00e+000 1.724042082e+002 1.724043689e+002 3.6e-011 4.07
92 5.6e-008 7.3e-003 3.7e-006 1.00e+000 1.724042197e+002 1.724043643e+002 3.3e-011 4.12
93 5.0e-008 7.3e-003 3.4e-006 1.00e+000 1.724042301e+002 1.724043602e+002 3.0e-011 4.15
94 4.5e-008 7.3e-003 3.0e-006 1.00e+000 1.724042394e+002 1.724043565e+002 2.7e-011 4.18
95 4.1e-008 7.3e-003 2.7e-006 9.99e-001 1.724042477e+002 1.724043531e+002 2.4e-011 4.20
96 3.7e-008 7.3e-003 2.5e-006 1.00e+000 1.724042553e+002 1.724043501e+002 2.2e-011 4.23
97 3.3e-008 7.3e-003 2.2e-006 1.00e+000 1.724042621e+002 1.724043474e+002 1.9e-011 4.26
98 3.0e-008 7.3e-003 2.0e-006 1.00e+000 1.724042682e+002 1.724043450e+002 1.7e-011 4.32
99 2.7e-008 7.3e-003 1.8e-006 1.00e+000 1.724042737e+002 1.724043428e+002 1.6e-011 4.35
100 2.4e-008 7.2e-003 1.6e-006 9.99e-001 1.724042786e+002 1.724043408e+002 1.4e-011 4.40
101 2.2e-008 7.2e-003 1.4e-006 1.00e+000 1.724042830e+002 1.724043391e+002 1.3e-011 4.43
102 2.0e-008 7.2e-003 1.3e-006 9.98e-001 1.724042870e+002 1.724043375e+002 1.1e-011 4.48
103 1.8e-008 7.2e-003 1.2e-006 9.98e-001 1.724042906e+002 1.724043360e+002 1.0e-011 4.52
104 1.6e-008 7.2e-003 1.1e-006 9.98e-001 1.724042939e+002 1.724043347e+002 9.3e-012 4.59
105 3.9e-009 1.8e-003 2.6e-007 1.00e+000 1.724043157e+002 1.724043259e+002 2.3e-012 4.65
106 3.6e-009 1.6e-003 2.4e-007 9.94e-001 1.724043165e+002 1.724043256e+002 2.1e-012 5.27
107 8.0e-010 3.5e-004 5.2e-008 9.97e-001 1.724043216e+002 1.724043236e+002 4.6e-013 5.30
Interior-point optimizer terminated. Time: 5.32.
Optimizer terminated. Time: 5.94
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432159e+002 Viol. con: 1e-008 var: 0e+000
Dual. obj: 1.7240432361e+002 Viol. con: 0e+000 var: 3e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 5.97 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
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 : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 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 : 1.64e+004 after factor : 1.45e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.3e+005 0.00e+000 -1.284360413e+005 2.000000000e+000 1.0e+000 0.09
1 1.1e+003 1.4e+003 6.1e+004 -9.71e-001 -1.262635405e+005 3.636950314e+000 4.8e-001 4.70
2 4.4e+002 5.6e+002 2.4e+004 -9.36e-001 -1.203755995e+005 1.002096583e+001 1.9e-001 4.73
3 2.9e+002 3.7e+002 1.6e+004 -8.43e-001 -1.156270295e+005 5.939414775e+001 1.3e-001 4.76
4 2.9e+002 3.7e+002 1.6e+004 -7.62e-001 -1.131819783e+005 2.127639800e+003 1.3e-001 4.77
5 8.1e+001 1.0e+002 4.5e+003 -7.56e-001 -7.750682828e+004 9.253683578e+003 3.6e-002 4.80
6 4.0e+001 5.2e+001 2.2e+003 -2.39e-001 -5.068254283e+004 1.003928725e+004 1.8e-002 4.84
7 3.0e+001 3.9e+001 1.7e+003 2.16e-001 -4.166618732e+004 8.309958761e+003 1.3e-002 4.87
8 1.9e+001 2.4e+001 1.0e+003 3.78e-001 -2.878108400e+004 5.414643658e+003 8.2e-003 4.90
9 8.0e+000 1.0e+001 4.4e+002 5.99e-001 -1.315966005e+004 3.160785971e+003 3.5e-003 4.93
10 4.0e+000 5.1e+000 2.2e+002 8.45e-001 -6.347188744e+003 2.138383086e+003 1.8e-003 4.96
11 2.2e+000 2.9e+000 1.3e+002 9.42e-001 -3.502124147e+003 1.318840427e+003 9.9e-004 4.99
12 9.1e-001 1.2e+000 5.1e+001 9.75e-001 -1.332365275e+003 6.477128592e+002 4.1e-004 5.02
13 8.3e-001 1.1e+000 4.6e+001 9.70e-001 -1.217516397e+003 6.005384252e+002 3.7e-004 5.05
14 5.9e-001 7.7e-001 3.3e+001 9.74e-001 -8.114698229e+002 4.901686817e+002 2.6e-004 5.07
15 2.1e-001 7.5e-001 1.2e+001 9.90e-001 -1.973509779e+002 2.838925572e+002 9.8e-005 5.13
16 1.1e-001 3.8e-001 6.1e+000 1.00e+000 -2.194812371e+001 2.162406284e+002 4.9e-005 5.20
17 7.7e-002 2.8e-001 4.4e+000 1.01e+000 2.773537216e+001 2.014213356e+002 3.6e-005 5.26
18 5.2e-002 2.0e-001 3.0e+000 1.02e+000 7.871294618e+001 1.952117961e+002 2.4e-005 5.34
19 1.5e-002 1.1e-001 8.7e-001 1.00e+000 1.409223829e+002 1.747335694e+002 7.0e-006 5.40
20 4.0e-003 2.2e-001 2.5e-001 1.02e+000 1.602100332e+002 1.696953131e+002 2.0e-006 5.46
21 2.7e-003 2.2e-001 1.7e-001 1.01e+000 1.623237405e+002 1.687770980e+002 1.3e-006 5.51
22 2.0e-003 1.6e-001 1.2e-001 1.00e+000 1.636802076e+002 1.683152484e+002 9.7e-007 5.55
23 7.7e-004 9.6e-002 4.8e-002 1.01e+000 1.657770308e+002 1.676106464e+002 3.9e-007 5.62
24 3.6e-004 8.1e-002 2.3e-002 1.01e+000 1.664801350e+002 1.673455451e+002 1.8e-007 5.66
25 1.5e-004 8.1e-002 9.7e-003 1.01e+000 1.668359696e+002 1.672047012e+002 7.9e-008 5.71
26 1.4e-004 7.4e-002 8.7e-003 1.01e+000 1.668663894e+002 1.671983756e+002 7.1e-008 5.76
27 1.2e-004 6.7e-002 7.8e-003 1.01e+000 1.668896143e+002 1.671882822e+002 6.4e-008 5.80
28 1.1e-004 6.2e-002 7.0e-003 1.01e+000 1.669107990e+002 1.671795199e+002 5.8e-008 5.85
29 1.0e-004 5.6e-002 6.3e-003 1.01e+000 1.669296971e+002 1.671714767e+002 5.2e-008 5.90
30 9.0e-005 5.1e-002 5.7e-003 1.01e+000 1.669466503e+002 1.671641957e+002 4.7e-008 5.96
31 8.1e-005 4.7e-002 5.1e-003 1.01e+000 1.669618542e+002 1.671575988e+002 4.2e-008 6.01
32 7.3e-005 4.3e-002 4.6e-003 1.01e+000 1.669754951e+002 1.671516276e+002 3.8e-008 6.05
33 6.5e-005 4.0e-002 4.2e-003 1.01e+000 1.669877360e+002 1.671462245e+002 3.4e-008 6.08
34 5.9e-005 3.6e-002 3.7e-003 1.01e+000 1.669987223e+002 1.671413370e+002 3.1e-008 6.13
35 5.3e-005 3.4e-002 3.4e-003 1.00e+000 1.670085840e+002 1.671369170e+002 2.8e-008 6.18
36 4.8e-005 3.1e-002 3.0e-003 1.00e+000 1.670174375e+002 1.671329209e+002 2.5e-008 6.22
37 4.3e-005 2.9e-002 2.7e-003 1.00e+000 1.670253869e+002 1.671293088e+002 2.2e-008 6.27
38 3.9e-005 2.7e-002 2.5e-003 1.00e+000 1.670325255e+002 1.671260447e+002 2.0e-008 6.33
39 3.5e-005 2.5e-002 2.2e-003 1.00e+000 1.670389368e+002 1.671230955e+002 1.8e-008 6.38
40 3.1e-005 2.3e-002 2.0e-003 1.00e+000 1.670446954e+002 1.671204315e+002 1.6e-008 6.44
41 2.8e-005 2.2e-002 1.8e-003 1.00e+000 1.670498685e+002 1.671180255e+002 1.5e-008 6.50
42 2.5e-005 2.0e-002 1.6e-003 1.00e+000 1.670545160e+002 1.671158530e+002 1.3e-008 6.54
43 2.3e-005 1.9e-002 1.5e-003 1.00e+000 1.670586918e+002 1.671138917e+002 1.2e-008 6.58
44 2.1e-005 1.8e-002 1.3e-003 1.00e+000 1.670624441e+002 1.671121213e+002 1.1e-008 6.63
45 1.8e-005 1.7e-002 1.2e-003 1.00e+000 1.670658163e+002 1.671105235e+002 9.6e-009 6.68
46 1.7e-005 1.6e-002 1.1e-003 1.00e+000 1.670688470e+002 1.671090817e+002 8.7e-009 6.72
47 1.5e-005 1.5e-002 9.5e-004 1.00e+000 1.670715710e+002 1.671077809e+002 7.8e-009 6.77
48 1.3e-005 1.4e-002 8.6e-004 1.00e+000 1.670740197e+002 1.671066075e+002 7.0e-009 6.85
49 1.2e-005 1.4e-002 7.7e-004 1.00e+000 1.670762209e+002 1.671055492e+002 6.3e-009 6.91
50 1.1e-005 1.3e-002 6.9e-004 1.00e+000 1.670781999e+002 1.671045948e+002 5.7e-009 6.99
51 9.8e-006 1.3e-002 6.2e-004 1.00e+000 1.670799793e+002 1.671037341e+002 5.1e-009 7.05
52 8.8e-006 1.2e-002 5.6e-004 1.00e+000 1.670815792e+002 1.671029581e+002 4.6e-009 7.11
53 8.0e-006 1.2e-002 5.1e-004 1.00e+000 1.670830180e+002 1.671022587e+002 4.2e-009 7.18
54 7.2e-006 1.1e-002 4.6e-004 1.00e+000 1.670843118e+002 1.671016282e+002 3.7e-009 7.25
55 6.4e-006 1.1e-002 4.1e-004 1.00e+000 1.670854754e+002 1.671010600e+002 3.4e-009 7.33
56 5.8e-006 1.1e-002 3.7e-004 1.00e+000 1.670865220e+002 1.671005480e+002 3.0e-009 7.43
57 5.2e-006 1.0e-002 3.3e-004 1.00e+000 1.670874633e+002 1.671000865e+002 2.7e-009 7.50
58 1.6e-006 3.3e-003 1.1e-004 1.00e+000 1.670932313e+002 1.670972286e+002 8.6e-010 7.58
59 1.5e-006 3.0e-003 9.5e-005 1.00e+000 1.670935001e+002 1.670970978e+002 7.8e-010 7.67
60 1.3e-006 2.7e-003 8.5e-005 1.00e+000 1.670937440e+002 1.670969820e+002 7.0e-010 7.74
61 5.3e-007 1.1e-003 3.4e-005 1.00e+000 1.670950396e+002 1.670963300e+002 2.8e-010 7.83
62 4.8e-007 9.6e-004 3.1e-005 1.00e+000 1.670951281e+002 1.670962892e+002 2.5e-010 7.91
63 4.3e-007 8.6e-004 2.8e-005 1.00e+000 1.670952053e+002 1.670962502e+002 2.3e-010 7.97
64 3.9e-007 7.7e-004 2.5e-005 1.00e+000 1.670952748e+002 1.670962152e+002 2.0e-010 8.05
65 3.5e-007 7.0e-004 2.2e-005 1.00e+000 1.670953372e+002 1.670961836e+002 1.8e-010 8.13
66 3.1e-007 6.3e-004 2.0e-005 9.99e-001 1.670953934e+002 1.670961552e+002 1.6e-010 8.21
67 2.8e-007 5.6e-004 1.8e-005 9.99e-001 1.670954439e+002 1.670961296e+002 1.5e-010 8.28
68 2.5e-007 5.1e-004 1.6e-005 1.00e+000 1.670954894e+002 1.670961064e+002 1.3e-010 8.35
69 2.3e-007 4.6e-004 1.5e-005 9.99e-001 1.670955303e+002 1.670960857e+002 1.2e-010 8.41
70 2.1e-007 4.1e-004 1.3e-005 1.00e+000 1.670955671e+002 1.670960669e+002 1.1e-010 8.47
71 1.8e-007 3.7e-004 1.2e-005 1.00e+000 1.670956002e+002 1.670960501e+002 9.7e-011 8.53
72 1.7e-007 3.3e-004 1.1e-005 9.93e-001 1.670956300e+002 1.670960350e+002 8.7e-011 8.60
73 1.5e-007 3.0e-004 9.6e-006 9.97e-001 1.670956568e+002 1.670960213e+002 7.9e-011 8.67
74 1.3e-007 2.7e-004 8.6e-006 1.01e+000 1.670956813e+002 1.670960088e+002 7.1e-011 8.74
75 1.2e-007 2.4e-004 7.8e-006 1.00e+000 1.670957030e+002 1.670959977e+002 6.4e-011 8.80
76 1.1e-007 2.2e-004 7.0e-006 1.00e+000 1.670957225e+002 1.670959877e+002 5.7e-011 8.86
77 9.8e-008 2.0e-004 6.3e-006 1.01e+000 1.670957406e+002 1.670959784e+002 5.2e-011 8.94
78 8.8e-008 1.8e-004 5.7e-006 1.00e+000 1.670957564e+002 1.670959703e+002 4.7e-011 9.00
79 8.0e-008 1.6e-004 5.1e-006 9.97e-001 1.670957706e+002 1.670959631e+002 4.2e-011 9.06
80 7.2e-008 1.4e-004 4.6e-006 1.00e+000 1.670957835e+002 1.670959565e+002 3.8e-011 9.13
81 6.4e-008 1.3e-004 4.1e-006 9.90e-001 1.670957949e+002 1.670959507e+002 3.4e-011 9.19
82 5.8e-008 1.2e-004 3.7e-006 1.00e+000 1.670958052e+002 1.670959454e+002 3.1e-011 9.25
83 5.2e-008 1.0e-004 3.3e-006 9.95e-001 1.670958145e+002 1.670959407e+002 2.8e-011 9.33
84 4.7e-008 9.4e-005 3.0e-006 1.01e+000 1.670958230e+002 1.670959363e+002 2.5e-011 9.91
85 4.2e-008 8.5e-005 2.7e-006 1.01e+000 1.670958307e+002 1.670959324e+002 2.2e-011 9.94
86 3.8e-008 7.6e-005 2.4e-006 9.66e-001 1.670958374e+002 1.670959291e+002 2.0e-011 9.98
87 3.4e-008 6.9e-005 2.2e-006 1.01e+000 1.670958438e+002 1.670959258e+002 1.8e-011 10.02
88 3.1e-008 6.2e-005 2.0e-006 1.04e+000 1.670958503e+002 1.670959223e+002 1.7e-011 10.37
89 2.8e-008 5.6e-005 1.8e-006 1.02e+000 1.670958556e+002 1.670959196e+002 1.5e-011 11.59
90 2.5e-008 5.0e-005 1.6e-006 1.02e+000 1.670958601e+002 1.670959172e+002 1.4e-011 11.62
91 2.2e-008 4.5e-005 1.4e-006 9.89e-001 1.670958639e+002 1.670959153e+002 1.2e-011 11.75
92 2.0e-008 4.1e-005 1.3e-006 1.02e+000 1.670958676e+002 1.670959134e+002 1.1e-011 11.82
93 1.8e-008 3.6e-005 1.2e-006 1.03e+000 1.670958710e+002 1.670959116e+002 1.0e-011 11.95
94 1.6e-008 3.3e-005 1.0e-006 1.02e+000 1.670958740e+002 1.670959101e+002 9.4e-012 12.01
95 1.5e-008 3.0e-005 9.4e-007 1.01e+000 1.670958765e+002 1.670959088e+002 8.5e-012 14.27
Interior-point optimizer terminated. Time: 14.27.
Optimizer terminated. Time: 14.34
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587646e+002 Viol. con: 2e-007 var: 0e+000
Dual. obj: 1.6709590884e+002 Viol. con: 0e+000 var: 2e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 14.4 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
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 : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 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 : 1.64e+004 after factor : 1.45e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.3e+005 0.00e+000 -1.281650049e+005 2.000000000e+000 1.0e+000 0.06
1 1.1e+003 1.4e+003 6.1e+004 -9.71e-001 -1.260064496e+005 3.586598739e+000 4.8e-001 0.73
2 4.4e+002 5.6e+002 2.4e+004 -9.36e-001 -1.201036193e+005 9.955119934e+000 1.9e-001 1.36
3 2.9e+002 3.7e+002 1.6e+004 -8.43e-001 -1.153209901e+005 5.962437162e+001 1.3e-001 6.08
4 2.9e+002 3.7e+002 1.6e+004 -7.62e-001 -1.127512785e+005 2.237183085e+003 1.3e-001 6.16
5 7.6e+001 9.7e+001 4.2e+003 -7.55e-001 -7.475667113e+004 9.749653786e+003 3.3e-002 8.66
6 3.7e+001 4.7e+001 2.0e+003 -1.99e-001 -4.738446977e+004 1.028818973e+004 1.6e-002 14.98
7 2.3e+001 3.0e+001 1.3e+003 2.71e-001 -3.362064661e+004 7.292034859e+003 1.0e-002 15.88
8 1.4e+001 1.7e+001 7.6e+002 5.18e-001 -2.155826455e+004 4.842536176e+003 6.0e-003 16.82
9 5.4e+000 6.9e+000 3.0e+002 7.18e-001 -8.872619446e+003 2.461233502e+003 2.4e-003 18.39
10 2.4e+000 3.1e+000 1.4e+002 9.11e-001 -3.777347029e+003 1.422700017e+003 1.1e-003 22.82
11 1.8e+000 2.3e+000 1.0e+002 9.74e-001 -2.754294351e+003 1.093079019e+003 7.9e-004 23.43
12 8.1e-001 1.0e+000 4.6e+001 9.82e-001 -1.172184582e+003 5.956564118e+002 3.6e-004 24.10
13 7.5e-001 1.1e+000 4.2e+001 9.46e-001 -1.100302897e+003 5.584998595e+002 3.4e-004 24.80
14 6.2e-001 8.9e-001 3.5e+001 9.87e-001 -8.693251976e+002 5.054041579e+002 2.8e-004 25.52
15 1.8e-001 2.9e-001 1.0e+001 9.89e-001 -1.579535977e+002 2.544990154e+002 8.4e-005 26.16
16 1.0e-001 1.8e-001 5.8e+000 1.01e+000 -1.917023880e+001 2.099840027e+002 4.7e-005 26.80
17 1.0e-001 1.8e-001 5.8e+000 1.02e+000 -1.750093582e+001 2.103208177e+002 4.7e-005 33.68
18 8.6e-002 1.5e-001 5.0e+000 1.02e+000 1.630746774e+001 2.107226616e+002 4.0e-005 33.76
19 4.3e-002 9.8e-002 2.5e+000 1.01e+000 9.144507037e+001 1.875634895e+002 2.0e-005 33.82
20 1.2e-002 1.6e-001 7.1e-001 1.01e+000 1.464197224e+002 1.736018527e+002 5.7e-006 33.90
21 4.7e-003 3.6e-001 2.8e-001 1.01e+000 1.584897950e+002 1.691035323e+002 2.3e-006 33.96
22 1.2e-003 1.8e-001 7.5e-002 1.01e+000 1.645724825e+002 1.674404061e+002 6.1e-007 34.02
23 6.6e-004 1.2e-001 4.1e-002 9.80e-001 1.655128902e+002 1.670779353e+002 3.4e-007 34.09
24 2.0e-004 1.1e-001 1.3e-002 9.95e-001 1.662879379e+002 1.667831370e+002 1.1e-007 34.13
25 6.9e-005 1.0e-001 4.5e-003 1.01e+000 1.665171046e+002 1.666889237e+002 3.8e-008 34.16
26 3.1e-005 8.7e-002 2.1e-003 1.01e+000 1.665829624e+002 1.666610868e+002 1.8e-008 34.20
27 2.8e-005 7.9e-002 1.9e-003 1.01e+000 1.665892625e+002 1.666595795e+002 1.6e-008 34.26
28 2.5e-005 7.2e-002 1.7e-003 1.00e+000 1.665940977e+002 1.666573660e+002 1.4e-008 34.32
29 2.3e-005 6.6e-002 1.5e-003 1.00e+000 1.665985135e+002 1.666554466e+002 1.3e-008 34.38
30 2.0e-005 6.0e-002 1.4e-003 1.00e+000 1.666024750e+002 1.666537071e+002 1.1e-008 34.43
31 1.8e-005 5.5e-002 1.2e-003 1.00e+000 1.666060360e+002 1.666521385e+002 1.0e-008 34.49
32 1.7e-005 5.0e-002 1.1e-003 1.00e+000 1.666092360e+002 1.666507229e+002 9.3e-009 34.55
33 1.5e-005 4.6e-002 9.9e-004 1.00e+000 1.666121120e+002 1.666494460e+002 8.4e-009 34.63
34 1.3e-005 4.2e-002 8.9e-004 1.00e+000 1.666146971e+002 1.666482941e+002 7.5e-009 34.71
35 1.2e-005 3.9e-002 8.0e-004 1.00e+000 1.666170208e+002 1.666472552e+002 6.8e-009 34.77
36 1.1e-005 3.5e-002 7.2e-004 1.00e+000 1.666191096e+002 1.666463182e+002 6.1e-009 34.85
37 9.8e-006 3.3e-002 6.5e-004 1.00e+000 1.666209875e+002 1.666454733e+002 5.5e-009 34.88
38 8.8e-006 3.0e-002 5.9e-004 1.00e+000 1.666226757e+002 1.666447114e+002 5.0e-009 34.93
39 7.9e-006 2.8e-002 5.3e-004 1.00e+000 1.666241936e+002 1.666440244e+002 4.5e-009 34.96
40 7.1e-006 2.6e-002 4.7e-004 1.00e+000 1.666255584e+002 1.666434051e+002 4.0e-009 35.04
41 6.4e-006 2.4e-002 4.3e-004 1.00e+000 1.666267856e+002 1.666428468e+002 3.6e-009 35.08
42 5.8e-006 2.3e-002 3.8e-004 1.00e+000 1.666278891e+002 1.666423435e+002 3.3e-009 35.15
43 5.2e-006 2.1e-002 3.5e-004 1.00e+000 1.666288813e+002 1.666418898e+002 2.9e-009 35.19
44 4.7e-006 2.0e-002 3.1e-004 1.00e+000 1.666297737e+002 1.666414808e+002 2.6e-009 35.23
45 4.2e-006 1.9e-002 2.8e-004 1.00e+000 1.666305761e+002 1.666411122e+002 2.4e-009 35.27
46 3.8e-006 1.7e-002 2.5e-004 1.00e+000 1.666312976e+002 1.666407799e+002 2.1e-009 35.30
47 3.4e-006 1.7e-002 2.3e-004 1.00e+000 1.666319465e+002 1.666404803e+002 1.9e-009 35.33
48 3.1e-006 1.6e-002 2.0e-004 1.00e+000 1.666325300e+002 1.666402102e+002 1.7e-009 35.41
49 2.8e-006 1.5e-002 1.8e-004 1.00e+000 1.666330547e+002 1.666399667e+002 1.6e-009 35.47
50 2.5e-006 1.4e-002 1.7e-004 1.00e+000 1.666335265e+002 1.666397472e+002 1.4e-009 35.54
51 2.2e-006 1.4e-002 1.5e-004 1.00e+000 1.666339509e+002 1.666395494e+002 1.3e-009 35.60
52 2.0e-006 1.3e-002 1.3e-004 1.00e+000 1.666343325e+002 1.666393712e+002 1.1e-009 35.66
53 1.8e-006 1.2e-002 1.2e-004 1.00e+000 1.666346758e+002 1.666392105e+002 1.0e-009 35.72
54 1.6e-006 1.2e-002 1.1e-004 1.00e+000 1.666349846e+002 1.666390658e+002 9.2e-010 35.80
55 1.5e-006 1.2e-002 9.8e-005 1.00e+000 1.666352624e+002 1.666389354e+002 8.3e-010 35.85
56 1.3e-006 1.1e-002 8.8e-005 1.00e+000 1.666355122e+002 1.666388179e+002 7.4e-010 35.93
57 1.2e-006 1.1e-002 7.9e-005 1.00e+000 1.666357369e+002 1.666387120e+002 6.7e-010 35.99
58 1.1e-006 1.1e-002 7.1e-005 1.00e+000 1.666359390e+002 1.666386166e+002 6.0e-010 36.05
59 9.6e-007 1.0e-002 6.4e-005 1.00e+000 1.666361208e+002 1.666385306e+002 5.4e-010 38.31
60 8.7e-007 1.0e-002 5.8e-005 1.00e+000 1.666362843e+002 1.666384531e+002 4.9e-010 38.36
61 7.8e-007 9.9e-003 5.2e-005 1.00e+000 1.666364313e+002 1.666383833e+002 4.4e-010 38.41
62 7.0e-007 9.7e-003 4.7e-005 1.00e+000 1.666365636e+002 1.666383203e+002 4.0e-010 38.45
63 6.3e-007 9.5e-003 4.2e-005 1.00e+000 1.666366825e+002 1.666382636e+002 3.6e-010 38.48
64 5.7e-007 9.3e-003 3.8e-005 1.00e+000 1.666367895e+002 1.666382124e+002 3.2e-010 38.55
65 5.1e-007 9.2e-003 3.4e-005 1.00e+000 1.666368856e+002 1.666381663e+002 2.9e-010 38.59
66 4.6e-007 9.0e-003 3.1e-005 1.00e+000 1.666369721e+002 1.666381247e+002 2.6e-010 38.64
67 4.1e-007 8.9e-003 2.8e-005 1.00e+000 1.666370499e+002 1.666380872e+002 2.3e-010 38.69
68 3.7e-007 8.8e-003 2.5e-005 1.00e+000 1.666371198e+002 1.666380534e+002 2.1e-010 38.72
69 3.4e-007 8.7e-003 2.2e-005 1.00e+000 1.666371827e+002 1.666380229e+002 1.9e-010 38.77
70 3.0e-007 8.6e-003 2.0e-005 1.00e+000 1.666372392e+002 1.666379954e+002 1.7e-010 38.83
71 2.7e-007 8.5e-003 1.8e-005 1.00e+000 1.666372901e+002 1.666379706e+002 1.5e-010 38.89
72 2.4e-007 8.5e-003 1.6e-005 1.00e+000 1.666373359e+002 1.666379484e+002 1.4e-010 38.92
73 2.2e-007 8.4e-003 1.5e-005 1.00e+000 1.666373770e+002 1.666379283e+002 1.2e-010 38.97
74 2.0e-007 8.3e-003 1.3e-005 1.00e+000 1.666374140e+002 1.666379102e+002 1.1e-010 39.00
75 1.8e-007 8.3e-003 1.2e-005 1.00e+000 1.666374473e+002 1.666378939e+002 1.0e-010 39.05
76 1.6e-007 8.2e-003 1.1e-005 1.00e+000 1.666374773e+002 1.666378792e+002 9.1e-011 39.09
77 1.4e-007 8.2e-003 9.6e-006 1.00e+000 1.666375043e+002 1.666378659e+002 8.1e-011 39.16
78 1.3e-007 8.1e-003 8.7e-006 1.00e+000 1.666375285e+002 1.666378540e+002 7.3e-011 39.20
79 1.2e-007 8.1e-003 7.8e-006 1.00e+000 1.666375504e+002 1.666378433e+002 6.6e-011 39.28
80 1.1e-007 8.0e-003 7.0e-006 1.00e+000 1.666375700e+002 1.666378336e+002 5.9e-011 39.31
81 9.5e-008 8.0e-003 6.3e-006 9.99e-001 1.666375877e+002 1.666378249e+002 5.3e-011 39.36
82 8.5e-008 8.0e-003 5.7e-006 1.00e+000 1.666376036e+002 1.666378171e+002 4.8e-011 39.39
83 7.7e-008 7.9e-003 5.1e-006 9.97e-001 1.666376179e+002 1.666378101e+002 4.3e-011 39.42
84 6.9e-008 7.9e-003 4.6e-006 9.94e-001 1.666376308e+002 1.666378038e+002 3.9e-011 39.48
85 6.2e-008 7.9e-003 4.1e-006 1.00e+000 1.666376424e+002 1.666377981e+002 3.5e-011 39.55
86 5.6e-008 7.8e-003 3.7e-006 9.97e-001 1.666376528e+002 1.666377930e+002 3.2e-011 39.62
87 5.0e-008 7.8e-003 3.4e-006 9.99e-001 1.666376622e+002 1.666377884e+002 2.8e-011 39.69
88 4.5e-008 7.8e-003 3.0e-006 1.00e+000 1.666376707e+002 1.666377842e+002 2.6e-011 39.75
89 4.1e-008 7.0e-003 2.7e-006 1.00e+000 1.666376784e+002 1.666377804e+002 2.3e-011 39.80
90 3.7e-008 6.3e-003 2.4e-006 1.02e+000 1.666376856e+002 1.666377768e+002 2.1e-011 39.86
91 3.3e-008 5.7e-003 2.2e-006 1.01e+000 1.666376918e+002 1.666377737e+002 1.9e-011 39.91
92 3.0e-008 5.1e-003 2.0e-006 9.94e-001 1.666376973e+002 1.666377710e+002 1.7e-011 39.98
93 2.7e-008 4.6e-003 1.8e-006 1.01e+000 1.666377024e+002 1.666377685e+002 1.5e-011 40.03
94 2.4e-008 4.1e-003 1.6e-006 1.01e+000 1.666377070e+002 1.666377662e+002 1.4e-011 40.11
95 2.2e-008 3.7e-003 1.4e-006 1.01e+000 1.666377112e+002 1.666377641e+002 1.3e-011 40.33
96 2.0e-008 3.3e-003 1.3e-006 9.89e-001 1.666377147e+002 1.666377624e+002 1.1e-011 40.45
97 1.8e-008 3.0e-003 1.2e-006 1.00e+000 1.666377180e+002 1.666377608e+002 1.0e-011 40.69
98 1.6e-008 2.7e-003 1.1e-006 9.89e-001 1.666377208e+002 1.666377594e+002 9.1e-012 41.01
99 1.4e-008 2.4e-003 9.5e-007 9.97e-001 1.666377234e+002 1.666377581e+002 8.2e-012 41.15
100 1.3e-008 2.2e-003 8.5e-007 1.00e+000 1.666377258e+002 1.666377570e+002 7.4e-012 41.26
101 1.2e-008 2.0e-003 7.7e-007 1.01e+000 1.666377279e+002 1.666377559e+002 6.7e-012 41.32
102 1.0e-008 1.8e-003 6.9e-007 1.04e+000 1.666377301e+002 1.666377548e+002 6.1e-012 41.43
103 9.4e-009 1.6e-003 6.2e-007 9.76e-001 1.666377318e+002 1.666377540e+002 5.5e-012 41.57
104 8.5e-009 1.4e-003 5.6e-007 1.01e+000 1.666377334e+002 1.666377532e+002 5.0e-012 41.70
105 7.7e-009 1.3e-003 5.0e-007 1.01e+000 1.666377347e+002 1.666377525e+002 4.5e-012 42.45
106 6.9e-009 1.2e-003 4.5e-007 9.51e-001 1.666377359e+002 1.666377520e+002 4.1e-012 42.71
107 6.2e-009 1.1e-003 4.1e-007 9.40e-001 1.666377370e+002 1.666377515e+002 3.7e-012 42.73
108 5.6e-009 9.5e-004 3.7e-007 9.89e-001 1.666377380e+002 1.666377510e+002 3.3e-012 42.76
109 5.1e-009 8.5e-004 3.3e-007 1.06e+000 1.666377391e+002 1.666377504e+002 3.0e-012 42.81
110 4.7e-009 7.7e-004 3.0e-007 1.08e+000 1.666377401e+002 1.666377499e+002 2.9e-012 42.85
111 4.2e-009 4.4e-005 1.7e-008 9.16e-001 1.666377465e+002 1.666377470e+002 2.7e-013 42.92
Interior-point optimizer terminated. Time: 42.92.
Optimizer terminated. Time: 42.93
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774645e+002 Viol. con: 1e-007 var: 0e+000
Dual. obj: 1.6663774704e+002 Viol. con: 0e+000 var: 3e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 43 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
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 : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 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 : 1.64e+004 after factor : 1.45e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.3e+005 0.00e+000 -1.281256843e+005 2.000000000e+000 1.0e+000 0.09
1 1.1e+003 1.4e+003 6.1e+004 -9.71e-001 -1.259652937e+005 3.580273558e+000 4.8e-001 1.23
2 4.3e+002 5.5e+002 2.4e+004 -9.36e-001 -1.199460190e+005 1.005567382e+001 1.9e-001 1.47
3 2.9e+002 3.7e+002 1.6e+004 -8.41e-001 -1.152369816e+005 6.134017214e+001 1.3e-001 1.51
4 2.9e+002 3.7e+002 1.6e+004 -7.61e-001 -1.125938777e+005 2.293613965e+003 1.3e-001 1.56
5 7.3e+001 9.4e+001 4.1e+003 -7.54e-001 -7.359804768e+004 9.834641106e+003 3.2e-002 1.62
6 3.6e+001 4.5e+001 2.0e+003 -1.82e-001 -4.627583233e+004 1.009594861e+004 1.6e-002 1.69
7 2.1e+001 2.7e+001 1.2e+003 2.90e-001 -3.084203643e+004 6.881651960e+003 9.2e-003 1.75
8 1.2e+001 1.6e+001 6.7e+002 5.65e-001 -1.932393015e+004 4.483627693e+003 5.4e-003 1.87
9 4.7e+000 6.0e+000 2.6e+002 7.54e-001 -7.701985911e+003 2.174746229e+003 2.1e-003 1.92
10 2.3e+000 2.9e+000 1.3e+002 9.26e-001 -3.516860461e+003 1.397319962e+003 1.0e-003 1.98
11 1.5e+000 1.9e+000 8.4e+001 9.76e-001 -2.278057069e+003 9.686745551e+002 6.7e-004 2.03
12 8.5e-001 1.1e+000 4.7e+001 9.85e-001 -1.223619937e+003 6.225979086e+002 3.8e-004 2.08
13 7.5e-001 9.9e-001 4.2e+001 9.54e-001 -1.085111364e+003 5.622486734e+002 3.3e-004 2.21
14 3.7e-001 4.9e-001 2.1e+001 9.85e-001 -4.368194748e+002 3.757303865e+002 1.7e-004 6.41
15 1.8e-001 2.5e-001 1.0e+001 9.98e-001 -1.425569871e+002 2.585350802e+002 8.2e-005 15.54
16 8.9e-002 1.6e-001 5.1e+000 1.01e+000 5.484261501e+000 2.044129002e+002 4.1e-005 18.72
17 8.6e-002 1.5e-001 4.9e+000 1.01e+000 1.455516032e+001 2.066563197e+002 4.0e-005 18.74
18 6.1e-002 1.1e-001 3.5e+000 1.01e+000 6.001219142e+001 1.948456418e+002 2.8e-005 18.77
19 2.9e-002 7.3e-002 1.7e+000 1.01e+000 1.156052660e+002 1.809647915e+002 1.4e-005 18.80
20 8.5e-003 1.8e-001 4.9e-001 1.01e+000 1.526398217e+002 1.716139700e+002 4.0e-006 18.83
21 2.5e-003 1.8e-001 1.5e-001 1.00e+000 1.622522082e+002 1.679613523e+002 1.2e-006 18.86
22 1.5e-003 1.2e-001 9.0e-002 1.00e+000 1.639807277e+002 1.674413374e+002 7.3e-007 18.89
23 5.1e-004 1.0e-001 3.2e-002 1.01e+000 1.656593394e+002 1.668669767e+002 2.6e-007 18.92
24 2.0e-004 9.6e-002 1.2e-002 1.01e+000 1.661981688e+002 1.666657460e+002 1.0e-007 18.95
25 1.8e-004 8.7e-002 1.1e-002 1.01e+000 1.662345730e+002 1.666552715e+002 9.2e-008 18.97
26 1.6e-004 7.9e-002 9.9e-003 1.01e+000 1.662646306e+002 1.666431180e+002 8.3e-008 19.00
27 1.4e-004 7.2e-002 8.9e-003 1.01e+000 1.662918624e+002 1.666323888e+002 7.5e-008 19.11
28 1.3e-004 6.6e-002 8.0e-003 1.01e+000 1.663162457e+002 1.666226263e+002 6.7e-008 19.13
29 1.2e-004 6.0e-002 7.2e-003 1.01e+000 1.663381279e+002 1.666137936e+002 6.0e-008 19.16
30 1.0e-004 5.5e-002 6.5e-003 1.01e+000 1.663577599e+002 1.666057959e+002 5.4e-008 19.19
31 9.4e-005 5.0e-002 5.9e-003 1.01e+000 1.663753748e+002 1.665985556e+002 4.9e-008 19.20
32 8.4e-005 4.6e-002 5.3e-003 1.01e+000 1.663911807e+002 1.665920012e+002 4.4e-008 19.23
33 7.6e-005 4.2e-002 4.7e-003 1.01e+000 1.664053646e+002 1.665860687e+002 4.0e-008 19.27
34 6.8e-005 3.9e-002 4.3e-003 1.01e+000 1.664180940e+002 1.665806999e+002 3.6e-008 19.28
35 6.2e-005 3.5e-002 3.8e-003 1.01e+000 1.664295193e+002 1.665758421e+002 3.2e-008 19.31
36 5.5e-005 3.3e-002 3.5e-003 1.00e+000 1.664397753e+002 1.665714477e+002 2.9e-008 19.34
37 5.0e-005 3.0e-002 3.1e-003 1.00e+000 1.664489826e+002 1.665674733e+002 2.6e-008 19.36
38 4.5e-005 2.8e-002 2.8e-003 1.00e+000 1.664572495e+002 1.665638795e+002 2.3e-008 20.73
39 4.0e-005 2.6e-002 2.5e-003 1.00e+000 1.664646728e+002 1.665606304e+002 2.1e-008 20.76
40 3.6e-005 2.4e-002 2.3e-003 1.00e+000 1.664713392e+002 1.665576937e+002 1.9e-008 20.81
41 3.3e-005 2.2e-002 2.0e-003 1.00e+000 1.664773266e+002 1.665550398e+002 1.7e-008 20.86
42 2.9e-005 2.1e-002 1.8e-003 1.00e+000 1.664827047e+002 1.665526419e+002 1.5e-008 20.89
43 2.6e-005 2.0e-002 1.7e-003 1.00e+000 1.664875360e+002 1.665504758e+002 1.4e-008 20.92
44 2.4e-005 1.8e-002 1.5e-003 1.00e+000 1.664918765e+002 1.665485194e+002 1.2e-008 20.95
45 2.1e-005 1.7e-002 1.3e-003 1.00e+000 1.664957764e+002 1.665467529e+002 1.1e-008 20.98
46 1.9e-005 1.6e-002 1.2e-003 1.00e+000 1.664992809e+002 1.665451580e+002 1.0e-008 21.01
47 1.7e-005 1.6e-002 1.1e-003 1.00e+000 1.665024303e+002 1.665437184e+002 9.1e-009 21.14
48 1.6e-005 1.5e-002 9.8e-004 1.00e+000 1.665052611e+002 1.665424193e+002 8.2e-009 21.17
49 1.4e-005 1.4e-002 8.8e-004 1.00e+000 1.665078056e+002 1.665412472e+002 7.4e-009 21.20
50 1.3e-005 1.4e-002 7.9e-004 1.00e+000 1.665100931e+002 1.665401900e+002 6.6e-009 21.23
51 1.1e-005 1.3e-002 7.1e-004 1.00e+000 1.665121497e+002 1.665392365e+002 6.0e-009 21.26
52 1.0e-005 1.2e-002 6.4e-004 1.00e+000 1.665139990e+002 1.665383769e+002 5.4e-009 21.29
53 9.2e-006 1.2e-002 5.8e-004 1.00e+000 1.665156621e+002 1.665376019e+002 4.8e-009 21.34
54 8.3e-006 1.2e-002 5.2e-004 1.00e+000 1.665171577e+002 1.665369034e+002 4.3e-009 21.37
55 7.5e-006 1.1e-002 4.7e-004 1.00e+000 1.665185028e+002 1.665362739e+002 3.9e-009 21.40
56 6.7e-006 1.1e-002 4.2e-004 1.00e+000 1.665197127e+002 1.665357067e+002 3.5e-009 21.51
57 6.1e-006 1.1e-002 3.8e-004 1.00e+000 1.665208010e+002 1.665351956e+002 3.2e-009 21.54
58 5.5e-006 1.0e-002 3.4e-004 1.00e+000 1.665217800e+002 1.665347351e+002 2.9e-009 21.57
59 4.9e-006 1.0e-002 3.1e-004 1.00e+000 1.665226606e+002 1.665343202e+002 2.6e-009 21.62
60 4.4e-006 9.9e-003 2.8e-004 1.00e+000 1.665234527e+002 1.665339464e+002 2.3e-009 21.68
61 4.0e-006 9.7e-003 2.5e-004 1.00e+000 1.665241652e+002 1.665336096e+002 2.1e-009 21.75
62 3.6e-006 9.5e-003 2.2e-004 1.00e+000 1.665248061e+002 1.665333061e+002 1.9e-009 21.86
63 3.2e-006 9.4e-003 2.0e-004 1.00e+000 1.665253825e+002 1.665330325e+002 1.7e-009 21.92
64 2.9e-006 9.2e-003 1.8e-004 1.00e+000 1.665259010e+002 1.665327861e+002 1.5e-009 21.98
65 2.6e-006 9.1e-003 1.6e-004 1.00e+000 1.665263673e+002 1.665325639e+002 1.4e-009 22.04
66 2.3e-006 9.0e-003 1.5e-004 1.00e+000 1.665267868e+002 1.665323638e+002 1.2e-009 22.11
67 2.1e-006 8.9e-003 1.3e-004 1.00e+000 1.665271641e+002 1.665321835e+002 1.1e-009 22.17
68 1.9e-006 8.8e-003 1.2e-004 1.00e+000 1.665275036e+002 1.665320210e+002 1.0e-009 22.23
69 1.7e-006 8.7e-003 1.1e-004 1.00e+000 1.665278090e+002 1.665318747e+002 9.0e-010 22.26
70 1.5e-006 8.6e-003 9.6e-005 1.00e+000 1.665280837e+002 1.665317429e+002 8.1e-010 22.31
71 1.4e-006 8.6e-003 8.7e-005 1.00e+000 1.665283309e+002 1.665316241e+002 7.3e-010 22.34
72 1.2e-006 8.5e-003 7.8e-005 1.00e+000 1.665285532e+002 1.665315172e+002 6.5e-010 22.37
73 1.1e-006 8.5e-003 7.0e-005 1.00e+000 1.665287532e+002 1.665314208e+002 5.9e-010 22.40
74 1.0e-006 8.4e-003 6.3e-005 1.00e+000 1.665289331e+002 1.665313340e+002 5.3e-010 22.46
75 9.1e-007 8.4e-003 5.7e-005 1.00e+000 1.665290950e+002 1.665312558e+002 4.8e-010 22.54
76 8.2e-007 8.3e-003 5.1e-005 1.00e+000 1.665292406e+002 1.665311853e+002 4.3e-010 22.64
77 7.4e-007 8.3e-003 4.6e-005 1.00e+000 1.665293715e+002 1.665311218e+002 3.9e-010 22.70
78 6.6e-007 8.2e-003 4.2e-005 1.00e+000 1.665294893e+002 1.665310645e+002 3.5e-010 22.78
79 6.0e-007 8.2e-003 3.7e-005 1.00e+000 1.665295952e+002 1.665310129e+002 3.1e-010 22.82
80 5.4e-007 8.2e-003 3.4e-005 1.00e+000 1.665296904e+002 1.665309664e+002 2.8e-010 22.87
81 4.8e-007 8.1e-003 3.0e-005 1.00e+000 1.665297761e+002 1.665309245e+002 2.5e-010 22.90
82 4.4e-007 8.1e-003 2.7e-005 1.00e+000 1.665298531e+002 1.665308867e+002 2.3e-010 22.95
83 3.9e-007 8.1e-003 2.5e-005 9.99e-001 1.665299223e+002 1.665308526e+002 2.1e-010 22.98
84 3.5e-007 8.0e-003 2.2e-005 9.99e-001 1.665299846e+002 1.665308219e+002 1.8e-010 23.01
85 3.2e-007 8.0e-003 2.0e-005 9.99e-001 1.665300406e+002 1.665307942e+002 1.7e-010 23.09
86 2.9e-007 8.0e-003 1.8e-005 9.99e-001 1.665300910e+002 1.665307693e+002 1.5e-010 23.15
87 2.6e-007 8.0e-003 1.6e-005 1.00e+000 1.665301363e+002 1.665307468e+002 1.3e-010 23.21
88 2.3e-007 7.9e-003 1.4e-005 9.99e-001 1.665301771e+002 1.665307265e+002 1.2e-010 23.28
89 2.1e-007 7.9e-003 1.3e-005 1.00e+000 1.665302138e+002 1.665307082e+002 1.1e-010 23.34
90 1.9e-007 7.9e-003 1.2e-005 1.00e+000 1.665302468e+002 1.665306918e+002 9.8e-011 23.39
91 1.7e-007 7.9e-003 1.1e-005 1.00e+000 1.665302764e+002 1.665306769e+002 8.8e-011 23.49
92 1.5e-007 7.9e-003 9.5e-006 9.99e-001 1.665303031e+002 1.665306636e+002 7.9e-011 23.56
93 1.4e-007 7.8e-003 8.6e-006 1.00e+000 1.665303272e+002 1.665306516e+002 7.2e-011 23.62
94 1.2e-007 7.8e-003 7.7e-006 9.99e-001 1.665303488e+002 1.665306408e+002 6.4e-011 23.68
95 1.1e-007 7.8e-003 6.9e-006 9.93e-001 1.665303682e+002 1.665306311e+002 5.8e-011 23.74
96 1.0e-007 7.8e-003 6.2e-006 1.00e+000 1.665303857e+002 1.665306223e+002 5.2e-011 23.82
97 9.0e-008 7.8e-003 5.6e-006 1.00e+000 1.665304016e+002 1.665306143e+002 4.7e-011 23.85
98 8.1e-008 7.8e-003 5.1e-006 9.96e-001 1.665304157e+002 1.665306072e+002 4.2e-011 23.88
99 7.3e-008 7.7e-003 4.5e-006 1.00e+000 1.665304285e+002 1.665306008e+002 3.8e-011 23.91
100 6.5e-008 7.7e-003 4.1e-006 1.00e+000 1.665304400e+002 1.665305950e+002 3.4e-011 23.95
101 5.9e-008 7.7e-003 3.7e-006 1.00e+000 1.665304503e+002 1.665305898e+002 3.1e-011 23.98
102 5.3e-008 7.7e-003 3.3e-006 9.98e-001 1.665304596e+002 1.665305852e+002 2.8e-011 24.04
103 4.8e-008 7.7e-003 3.0e-006 9.97e-001 1.665304679e+002 1.665305810e+002 2.5e-011 24.10
104 4.3e-008 7.6e-003 2.7e-006 9.96e-001 1.665304754e+002 1.665305772e+002 2.2e-011 24.16
105 3.9e-008 7.6e-003 2.4e-006 9.93e-001 1.665304822e+002 1.665305738e+002 2.0e-011 24.26
106 3.5e-008 6.9e-003 2.2e-006 1.01e+000 1.665304886e+002 1.665305706e+002 1.8e-011 24.32
107 3.1e-008 6.2e-003 2.0e-006 1.00e+000 1.665304941e+002 1.665305678e+002 1.6e-011 24.38
108 2.8e-008 5.6e-003 1.8e-006 9.78e-001 1.665304990e+002 1.665305654e+002 1.5e-011 24.45
109 2.5e-008 5.0e-003 1.6e-006 9.92e-001 1.665305034e+002 1.665305632e+002 1.3e-011 24.49
110 2.3e-008 4.5e-003 1.4e-006 9.97e-001 1.665305074e+002 1.665305612e+002 1.2e-011 24.56
111 2.1e-008 4.1e-003 1.3e-006 9.95e-001 1.665305110e+002 1.665305594e+002 1.1e-011 24.62
112 1.8e-008 3.6e-003 1.2e-006 9.90e-001 1.665305142e+002 1.665305578e+002 9.7e-012 24.65
113 1.7e-008 3.3e-003 1.0e-006 1.02e+000 1.665305174e+002 1.665305562e+002 8.8e-012 24.70
114 1.5e-008 3.0e-003 9.4e-007 9.86e-001 1.665305199e+002 1.665305549e+002 8.0e-012 24.73
115 1.3e-008 2.7e-003 8.4e-007 9.99e-001 1.665305222e+002 1.665305537e+002 7.2e-012 24.76
116 1.2e-008 2.4e-003 7.6e-007 9.64e-001 1.665305243e+002 1.665305527e+002 6.5e-012 24.80
117 1.1e-008 2.2e-003 6.8e-007 9.98e-001 1.665305262e+002 1.665305517e+002 5.8e-012 24.87
118 9.8e-009 1.9e-003 6.1e-007 9.82e-001 1.665305279e+002 1.665305509e+002 5.2e-012 24.93
119 8.8e-009 1.7e-003 5.5e-007 9.77e-001 1.665305294e+002 1.665305501e+002 4.7e-012 24.99
120 8.0e-009 1.6e-003 5.0e-007 9.70e-001 1.665305308e+002 1.665305495e+002 4.2e-012 25.10
121 7.2e-009 1.4e-003 4.5e-007 9.92e-001 1.665305320e+002 1.665305488e+002 3.8e-012 25.18
122 6.5e-009 1.3e-003 4.0e-007 1.02e+000 1.665305332e+002 1.665305482e+002 3.5e-012 25.24
123 5.8e-009 1.1e-003 3.6e-007 1.00e+000 1.665305342e+002 1.665305477e+002 3.1e-012 25.30
124 5.2e-009 1.0e-003 3.3e-007 1.06e+000 1.665305353e+002 1.665305471e+002 2.9e-012 25.37
125 4.8e-009 9.3e-004 2.9e-007 9.46e-001 1.665305361e+002 1.665305467e+002 2.6e-012 25.44
126 4.3e-009 8.3e-004 2.6e-007 1.00e+000 1.665305368e+002 1.665305464e+002 2.3e-012 25.49
127 3.9e-009 7.5e-004 2.4e-007 9.99e-001 1.665305375e+002 1.665305461e+002 2.1e-012 25.76
128 3.5e-009 6.8e-004 2.1e-007 9.21e-001 1.665305380e+002 1.665305458e+002 1.9e-012 26.40
129 3.2e-009 6.1e-004 1.9e-007 9.64e-001 1.665305385e+002 1.665305455e+002 1.7e-012 26.43
130 2.9e-009 5.5e-004 1.7e-007 1.03e+000 1.665305391e+002 1.665305453e+002 1.6e-012 26.47
131 2.6e-009 4.9e-004 1.6e-007 1.01e+000 1.665305395e+002 1.665305450e+002 1.4e-012 26.58
132 4.4e-010 5.5e-005 1.7e-008 1.02e+000 1.665305427e+002 1.665305433e+002 1.5e-013 26.72
Interior-point optimizer terminated. Time: 26.72.
Optimizer terminated. Time: 26.93
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054273e+002 Viol. con: 7e-009 var: 0e+000
Dual. obj: 1.6653054334e+002 Viol. con: 0e+000 var: 4e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 27 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
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 : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 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 : 1.64e+004 after factor : 1.45e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 3.0e+003 1.3e+005 0.00e+000 -1.281219225e+005 2.000000000e+000 1.0e+000 0.05
1 1.1e+003 1.4e+003 6.1e+004 -9.71e-001 -1.259510014e+005 3.575672584e+000 4.8e-001 0.28
2 4.3e+002 5.5e+002 2.4e+004 -9.36e-001 -1.198706844e+005 1.013520846e+001 1.9e-001 0.37
3 2.9e+002 3.7e+002 1.6e+004 -8.40e-001 -1.151566023e+005 6.243045972e+001 1.2e-001 0.72
4 2.8e+002 3.6e+002 1.6e+004 -7.60e-001 -1.125384739e+005 2.273182294e+003 1.2e-001 0.87
5 7.5e+001 9.6e+001 4.1e+003 -7.53e-001 -7.445606724e+004 9.639356119e+003 3.3e-002 1.01
6 3.3e+001 4.2e+001 1.8e+003 -1.95e-001 -4.330175977e+004 1.030586566e+004 1.4e-002 1.20
7 1.9e+001 2.5e+001 1.1e+003 3.42e-001 -2.853322788e+004 6.914886997e+003 8.5e-003 1.40
8 1.1e+001 1.5e+001 6.3e+002 6.05e-001 -1.808893517e+004 4.388507359e+003 5.0e-003 1.50
9 4.5e+000 5.7e+000 2.5e+002 7.74e-001 -7.326207991e+003 2.100232742e+003 2.0e-003 2.43
10 2.1e+000 2.7e+000 1.2e+002 9.30e-001 -3.203269316e+003 1.327238449e+003 9.3e-004 2.48
11 1.3e+000 1.7e+000 7.5e+001 9.81e-001 -2.002121396e+003 8.889948365e+002 6.0e-004 2.53
12 8.1e-001 1.0e+000 4.5e+001 9.84e-001 -1.160048004e+003 6.061233162e+002 3.6e-004 2.57
13 6.4e-001 8.5e-001 3.6e+001 9.55e-001 -9.074143950e+002 5.061531269e+002 2.9e-004 2.64
14 3.6e-001 4.9e-001 2.0e+001 9.93e-001 -4.159484363e+002 3.800111952e+002 1.6e-004 2.79
15 1.8e-001 2.4e-001 9.9e+000 9.93e-001 -1.329974707e+002 2.580954964e+002 8.0e-005 2.84
16 7.9e-002 1.3e-001 4.5e+000 1.01e+000 2.194906760e+001 1.995881877e+002 3.7e-005 2.92
17 6.8e-002 1.1e-001 3.9e+000 1.02e+000 4.516614603e+001 1.977861923e+002 3.2e-005 3.00
18 2.8e-002 7.4e-002 1.6e+000 1.02e+000 1.183243700e+002 1.806140538e+002 1.3e-005 3.07
19 8.1e-003 2.0e-001 4.7e-001 1.01e+000 1.533669010e+002 1.714092945e+002 3.8e-006 3.15
20 2.9e-003 2.4e-001 1.7e-001 1.00e+000 1.613681538e+002 1.680689818e+002 1.4e-006 3.23
21 1.7e-003 1.4e-001 1.0e-001 1.01e+000 1.635977141e+002 1.674592385e+002 8.2e-007 3.31
22 5.0e-004 1.2e-001 3.1e-002 1.01e+000 1.656258643e+002 1.668059062e+002 2.6e-007 3.37
23 1.8e-004 1.1e-001 1.1e-002 1.01e+000 1.661712572e+002 1.666014694e+002 9.5e-008 3.45
24 8.3e-005 8.8e-002 5.3e-003 1.01e+000 1.663353193e+002 1.665344312e+002 4.4e-008 3.53
25 3.7e-005 8.0e-002 2.4e-003 1.01e+000 1.664121543e+002 1.665024986e+002 2.0e-008 3.60
26 3.4e-005 7.3e-002 2.2e-003 1.01e+000 1.664199999e+002 1.665013318e+002 1.8e-008 3.67
27 3.0e-005 6.6e-002 1.9e-003 1.01e+000 1.664255198e+002 1.664986907e+002 1.6e-008 3.74
28 2.7e-005 6.1e-002 1.7e-003 1.01e+000 1.664306093e+002 1.664964490e+002 1.5e-008 3.82
29 2.5e-005 5.5e-002 1.6e-003 1.01e+000 1.664351634e+002 1.664944068e+002 1.3e-008 3.88
30 2.2e-005 5.1e-002 1.4e-003 1.01e+000 1.664392571e+002 1.664925662e+002 1.2e-008 3.96
31 2.0e-005 4.6e-002 1.3e-003 1.00e+000 1.664429341e+002 1.664909043e+002 1.1e-008 4.04
32 1.8e-005 4.2e-002 1.1e-003 1.00e+000 1.664462378e+002 1.664894044e+002 9.7e-009 4.10
33 1.6e-005 3.9e-002 1.0e-003 1.00e+000 1.664492064e+002 1.664880509e+002 8.7e-009 4.18
34 1.5e-005 3.6e-002 9.3e-004 1.00e+000 1.664518741e+002 1.664868298e+002 7.8e-009 4.24
35 1.3e-005 3.3e-002 8.3e-004 1.00e+000 1.664542717e+002 1.664857284e+002 7.1e-009 4.32
36 1.2e-005 3.0e-002 7.5e-004 1.00e+000 1.664564268e+002 1.664847350e+002 6.4e-009 4.38
37 1.1e-005 2.8e-002 6.8e-004 1.00e+000 1.664583642e+002 1.664838392e+002 5.7e-009 4.46
38 9.5e-006 2.6e-002 6.1e-004 1.00e+000 1.664601059e+002 1.664830316e+002 5.1e-009 4.54
39 8.6e-006 2.4e-002 5.5e-004 1.00e+000 1.664616720e+002 1.664823036e+002 4.6e-009 4.60
40 7.7e-006 2.3e-002 4.9e-004 1.00e+000 1.664630802e+002 1.664816474e+002 4.2e-009 4.68
41 6.9e-006 2.1e-002 4.4e-004 1.00e+000 1.664643465e+002 1.664810562e+002 3.8e-009 4.76
42 6.3e-006 2.0e-002 4.0e-004 1.00e+000 1.664654855e+002 1.664805234e+002 3.4e-009 4.82
43 5.6e-006 1.9e-002 3.6e-004 1.00e+000 1.664665098e+002 1.664800434e+002 3.0e-009 4.90
44 5.1e-006 1.7e-002 3.2e-004 1.00e+000 1.664674313e+002 1.664796110e+002 2.7e-009 4.98
45 4.6e-006 1.6e-002 2.9e-004 1.00e+000 1.664682601e+002 1.664792216e+002 2.5e-009 5.05
46 4.1e-006 1.6e-002 2.6e-004 1.00e+000 1.664690057e+002 1.664788707e+002 2.2e-009 5.13
47 3.7e-006 1.5e-002 2.4e-004 1.00e+000 1.664696764e+002 1.664785546e+002 2.0e-009 5.21
48 3.3e-006 1.4e-002 2.1e-004 1.00e+000 1.664702797e+002 1.664782700e+002 1.8e-009 5.27
49 3.0e-006 1.3e-002 1.9e-004 1.00e+000 1.664708225e+002 1.664780136e+002 1.6e-009 5.35
50 2.7e-006 1.3e-002 1.7e-004 1.00e+000 1.664713108e+002 1.664777826e+002 1.5e-009 5.43
51 2.4e-006 1.2e-002 1.5e-004 1.00e+000 1.664717501e+002 1.664775747e+002 1.3e-009 5.51
52 2.2e-006 1.2e-002 1.4e-004 1.00e+000 1.664721454e+002 1.664773875e+002 1.2e-009 5.59
53 2.0e-006 1.1e-002 1.3e-004 1.00e+000 1.664725011e+002 1.664772190e+002 1.1e-009 5.65
54 1.8e-006 1.1e-002 1.1e-004 1.00e+000 1.664728212e+002 1.664770673e+002 9.6e-010 5.72
55 1.6e-006 1.1e-002 1.0e-004 1.00e+000 1.664731093e+002 1.664769307e+002 8.6e-010 5.80
56 1.4e-006 1.0e-002 9.1e-005 1.00e+000 1.664733686e+002 1.664768078e+002 7.7e-010 5.88
57 1.3e-006 1.0e-002 8.2e-005 1.00e+000 1.664736018e+002 1.664766972e+002 7.0e-010 5.96
58 1.2e-006 9.9e-003 7.4e-005 1.00e+000 1.664738118e+002 1.664765976e+002 6.3e-010 6.04
59 1.0e-006 9.6e-003 6.7e-005 1.00e+000 1.664740008e+002 1.664765079e+002 5.6e-010 6.10
60 9.4e-007 9.4e-003 6.0e-005 1.00e+000 1.664741708e+002 1.664764273e+002 5.1e-010 6.18
61 8.4e-007 9.3e-003 5.4e-005 1.00e+000 1.664743238e+002 1.664763546e+002 4.6e-010 6.26
62 7.6e-007 9.1e-003 4.9e-005 1.00e+000 1.664744615e+002 1.664762892e+002 4.1e-010 6.32
63 6.8e-007 8.9e-003 4.4e-005 1.00e+000 1.664745853e+002 1.664762303e+002 3.7e-010 6.40
64 6.2e-007 8.8e-003 3.9e-005 1.00e+000 1.664746968e+002 1.664761773e+002 3.3e-010 6.47
65 5.5e-007 8.7e-003 3.5e-005 1.00e+000 1.664747970e+002 1.664761295e+002 3.0e-010 6.55
66 5.0e-007 8.6e-003 3.2e-005 1.00e+000 1.664748872e+002 1.664760864e+002 2.7e-010 6.63
67 4.5e-007 8.5e-003 2.9e-005 1.00e+000 1.664749684e+002 1.664760476e+002 2.4e-010 6.71
68 4.0e-007 8.4e-003 2.6e-005 9.99e-001 1.664750414e+002 1.664760127e+002 2.2e-010 6.79
69 3.6e-007 8.3e-003 2.3e-005 1.00e+000 1.664751070e+002 1.664759813e+002 2.0e-010 6.86
70 3.3e-007 8.2e-003 2.1e-005 1.00e+000 1.664751661e+002 1.664759529e+002 1.8e-010 6.94
71 2.9e-007 8.2e-003 1.9e-005 1.00e+000 1.664752192e+002 1.664759273e+002 1.6e-010 7.02
72 2.7e-007 8.1e-003 1.7e-005 1.00e+000 1.664752670e+002 1.664759043e+002 1.4e-010 7.08
73 2.4e-007 8.1e-003 1.5e-005 1.00e+000 1.664753100e+002 1.664758836e+002 1.3e-010 7.16
74 2.1e-007 8.0e-003 1.4e-005 1.00e+000 1.664753487e+002 1.664758649e+002 1.2e-010 7.25
75 1.9e-007 8.0e-003 1.2e-005 9.98e-001 1.664753835e+002 1.664758481e+002 1.0e-010 7.33
76 1.7e-007 7.9e-003 1.1e-005 1.00e+000 1.664754151e+002 1.664758328e+002 9.4e-011 7.41
77 1.6e-007 7.9e-003 1.0e-005 1.00e+000 1.664754433e+002 1.664758192e+002 8.5e-011 7.49
78 1.4e-007 7.9e-003 9.0e-006 1.00e+000 1.664754686e+002 1.664758069e+002 7.6e-011 9.45
79 1.3e-007 7.8e-003 8.1e-006 9.99e-001 1.664754914e+002 1.664757959e+002 6.9e-011 9.52
80 1.1e-007 7.0e-003 7.3e-006 1.01e+000 1.664755122e+002 1.664757858e+002 6.2e-011 9.56
81 1.0e-007 6.3e-003 6.6e-006 1.00e+000 1.664755306e+002 1.664757769e+002 5.6e-011 9.64
82 9.2e-008 5.7e-003 5.9e-006 9.99e-001 1.664755472e+002 1.664757689e+002 5.0e-011 9.75
83 8.3e-008 5.1e-003 5.3e-006 1.00e+000 1.664755622e+002 1.664757617e+002 4.5e-011 11.84
84 7.5e-008 4.6e-003 4.8e-006 9.97e-001 1.664755756e+002 1.664757552e+002 4.1e-011 16.30
85 6.7e-008 4.2e-003 4.3e-006 1.01e+000 1.664755880e+002 1.664757491e+002 3.7e-011 25.79
86 6.1e-008 3.7e-003 3.9e-006 1.01e+000 1.664755991e+002 1.664757437e+002 3.3e-011 30.55
87 5.5e-008 3.4e-003 3.5e-006 1.01e+000 1.664756091e+002 1.664757389e+002 3.0e-011 34.23
88 4.9e-008 3.0e-003 3.1e-006 1.00e+000 1.664756179e+002 1.664757346e+002 2.7e-011 34.26
89 4.4e-008 2.7e-003 2.8e-006 1.01e+000 1.664756259e+002 1.664757307e+002 2.4e-011 34.29
90 4.0e-008 2.5e-003 2.5e-006 9.95e-001 1.664756330e+002 1.664757273e+002 2.2e-011 34.32
91 3.6e-008 2.2e-003 2.3e-006 1.00e+000 1.664756394e+002 1.664757242e+002 2.0e-011 34.35
92 3.2e-008 2.0e-003 2.1e-006 9.96e-001 1.664756451e+002 1.664757214e+002 1.8e-011 34.38
93 2.9e-008 1.8e-003 1.9e-006 9.97e-001 1.664756502e+002 1.664757189e+002 1.6e-011 34.41
94 2.6e-008 1.6e-003 1.7e-006 9.91e-001 1.664756549e+002 1.664757167e+002 1.4e-011 34.46
95 2.4e-008 1.4e-003 1.5e-006 1.01e+000 1.664756592e+002 1.664757146e+002 1.3e-011 34.49
96 2.1e-008 1.3e-003 1.4e-006 1.01e+000 1.664756630e+002 1.664757127e+002 1.2e-011 34.52
97 1.9e-008 1.2e-003 1.2e-006 1.02e+000 1.664756666e+002 1.664757110e+002 1.1e-011 34.55
98 1.7e-008 1.1e-003 1.1e-006 9.96e-001 1.664756696e+002 1.664757095e+002 9.5e-012 34.59
99 1.5e-008 9.5e-004 9.8e-007 9.88e-001 1.664756723e+002 1.664757083e+002 8.6e-012 34.62
100 1.4e-008 8.6e-004 8.9e-007 9.75e-001 1.664756747e+002 1.664757071e+002 7.7e-012 34.65
101 1.3e-008 7.7e-004 8.0e-007 1.00e+000 1.664756769e+002 1.664757061e+002 6.9e-012 34.68
102 1.1e-008 6.9e-004 7.2e-007 9.73e-001 1.664756788e+002 1.664757051e+002 6.3e-012 34.71
103 1.0e-008 6.2e-004 6.5e-007 9.70e-001 1.664756806e+002 1.664757043e+002 5.6e-012 34.74
104 2.5e-009 6.4e-005 6.7e-008 9.39e-001 1.664756951e+002 1.664756976e+002 7.1e-013 34.77
Interior-point optimizer terminated. Time: 34.77.
Optimizer terminated. Time: 34.79
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569510e+002 Viol. con: 7e-008 var: 0e+000
Dual. obj: 1.6647569761e+002 Viol. con: 0e+000 var: 5e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 34.8 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
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 : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 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 : 1.64e+004 after factor : 1.45e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 2.9e+003 1.3e+005 0.00e+000 -1.280507101e+005 2.000000000e+000 1.0e+000 0.08
1 1.1e+003 1.4e+003 6.1e+004 -9.71e-001 -1.258771636e+005 3.574360196e+000 4.8e-001 0.13
2 4.3e+002 5.4e+002 2.4e+004 -9.36e-001 -1.197600820e+005 1.017434777e+001 1.9e-001 7.41
3 2.9e+002 3.6e+002 1.6e+004 -8.40e-001 -1.150414994e+005 6.302883238e+001 1.2e-001 7.46
4 2.8e+002 3.6e+002 1.6e+004 -7.59e-001 -1.124384927e+005 2.261517091e+003 1.2e-001 7.49
5 7.5e+001 9.6e+001 4.2e+003 -7.52e-001 -7.457678696e+004 9.579771907e+003 3.3e-002 7.52
6 3.0e+001 3.8e+001 1.7e+003 -1.97e-001 -4.046189471e+004 1.027491501e+004 1.3e-002 12.45
7 1.8e+001 2.3e+001 1.0e+003 3.92e-001 -2.694192985e+004 6.671834612e+003 7.9e-003 12.48
8 9.7e+000 1.2e+001 5.4e+002 6.31e-001 -1.557347802e+004 3.882131865e+003 4.3e-003 12.51
9 3.9e+000 5.0e+000 2.2e+002 8.13e-001 -6.391606431e+003 1.890792768e+003 1.7e-003 12.54
10 2.1e+000 2.6e+000 1.2e+002 9.41e-001 -3.269354031e+003 1.203688720e+003 9.2e-004 12.57
11 1.0e+000 1.3e+000 5.8e+001 9.80e-001 -1.531761788e+003 7.332229217e+002 4.7e-004 12.59
12 8.1e-001 1.0e+000 4.5e+001 9.78e-001 -1.183112970e+003 6.026642981e+002 3.6e-004 12.62
13 4.8e-001 6.1e-001 2.7e+001 9.74e-001 -6.438583326e+002 4.230543750e+002 2.2e-004 12.65
14 2.7e-001 3.5e-001 1.5e+001 1.00e+000 -2.811426162e+002 3.129282578e+002 1.2e-004 12.68
15 9.5e-002 1.5e-001 5.4e+000 1.00e+000 -7.760102903e+000 2.065010592e+002 4.4e-005 12.71
16 8.6e-002 1.3e-001 4.9e+000 1.02e+000 1.584411747e+001 2.085236170e+002 4.0e-005 12.75
17 5.8e-002 9.1e-002 3.3e+000 1.02e+000 6.554879346e+001 1.939097061e+002 2.7e-005 12.76
18 2.7e-002 7.0e-002 1.6e+000 1.02e+000 1.190410373e+002 1.797877521e+002 1.3e-005 12.79
19 7.7e-003 1.9e-001 4.5e-001 1.02e+000 1.538508625e+002 1.711105354e+002 3.6e-006 12.82
20 3.1e-003 2.3e-001 1.8e-001 1.01e+000 1.611236900e+002 1.680954845e+002 1.5e-006 12.86
21 1.8e-003 1.4e-001 1.1e-001 1.01e+000 1.633670825e+002 1.674678318e+002 8.8e-007 12.89
22 5.4e-004 1.3e-001 3.3e-002 1.01e+000 1.655417000e+002 1.667976314e+002 2.7e-007 12.92
23 3.9e-004 1.1e-001 2.4e-002 9.97e-001 1.657991966e+002 1.666977438e+002 2.0e-007 12.93
24 2.1e-004 7.7e-002 1.3e-002 9.85e-001 1.660842674e+002 1.665892829e+002 1.1e-007 12.96
25 1.8e-004 6.6e-002 1.1e-002 1.00e+000 1.661384228e+002 1.665728112e+002 9.5e-008 12.99
26 1.7e-004 6.0e-002 1.0e-002 1.01e+000 1.661706828e+002 1.665613713e+002 8.6e-008 13.03
27 1.5e-004 5.5e-002 9.3e-003 1.01e+000 1.661983344e+002 1.665498330e+002 7.7e-008 13.06
28 1.3e-004 5.0e-002 8.3e-003 1.01e+000 1.662233665e+002 1.665396400e+002 6.9e-008 13.09
29 1.2e-004 4.6e-002 7.5e-003 1.01e+000 1.662457867e+002 1.665303725e+002 6.2e-008 13.12
30 1.1e-004 4.2e-002 6.8e-003 1.01e+000 1.662659092e+002 1.665219871e+002 5.6e-008 13.70
31 9.8e-005 3.9e-002 6.1e-003 1.01e+000 1.662839651e+002 1.665143953e+002 5.1e-008 13.74
32 8.8e-005 3.5e-002 5.5e-003 1.01e+000 1.663001684e+002 1.665075232e+002 4.6e-008 13.78
33 7.9e-005 3.3e-002 4.9e-003 1.00e+000 1.663147097e+002 1.665013028e+002 4.1e-008 13.81
34 7.1e-005 3.0e-002 4.4e-003 1.00e+000 1.663277600e+002 1.664956726e+002 3.7e-008 13.84
35 6.4e-005 2.8e-002 4.0e-003 1.00e+000 1.663394729e+002 1.664905774e+002 3.3e-008 13.87
36 5.8e-005 2.6e-002 3.6e-003 1.00e+000 1.663499865e+002 1.664859669e+002 3.0e-008 13.95
37 5.2e-005 2.4e-002 3.2e-003 1.00e+000 1.663594243e+002 1.664817958e+002 2.7e-008 13.98
38 4.7e-005 2.2e-002 2.9e-003 1.00e+000 1.663678975e+002 1.664780232e+002 2.4e-008 14.01
39 4.2e-005 2.1e-002 2.6e-003 1.00e+000 1.663755053e+002 1.664746116e+002 2.2e-008 14.04
40 3.8e-005 2.0e-002 2.4e-003 1.00e+000 1.663823369e+002 1.664715272e+002 2.0e-008 14.07
41 3.4e-005 1.8e-002 2.1e-003 1.00e+000 1.663884721e+002 1.664687391e+002 1.8e-008 14.10
42 3.1e-005 1.7e-002 1.9e-003 1.00e+000 1.663939824e+002 1.664662194e+002 1.6e-008 14.15
43 2.8e-005 1.6e-002 1.7e-003 1.00e+000 1.663989319e+002 1.664639426e+002 1.4e-008 14.20
44 2.5e-005 1.6e-002 1.5e-003 1.00e+000 1.664033779e+002 1.664618855e+002 1.3e-008 14.24
45 2.2e-005 1.5e-002 1.4e-003 1.00e+000 1.664073720e+002 1.664600273e+002 1.2e-008 17.72
46 2.0e-005 1.4e-002 1.3e-003 1.00e+000 1.664109603e+002 1.664583490e+002 1.0e-008 17.88
47 1.8e-005 1.3e-002 1.1e-003 1.00e+000 1.664141843e+002 1.664568332e+002 9.4e-009 17.91
48 1.6e-005 1.3e-002 1.0e-003 1.00e+000 1.664170812e+002 1.664554646e+002 8.5e-009 17.94
49 1.5e-005 1.2e-002 9.1e-004 1.00e+000 1.664196843e+002 1.664542289e+002 7.6e-009 17.96
50 1.3e-005 1.2e-002 8.2e-004 1.00e+000 1.664220236e+002 1.664531134e+002 6.9e-009 17.99
51 1.2e-005 1.1e-002 7.4e-004 1.00e+000 1.664241259e+002 1.664521065e+002 6.2e-009 18.02
52 1.1e-005 1.1e-002 6.7e-004 1.00e+000 1.664260155e+002 1.664511979e+002 5.6e-009 18.05
53 9.6e-006 1.1e-002 6.0e-004 1.00e+000 1.664277139e+002 1.664503779e+002 5.0e-009 18.07
54 8.7e-006 1.1e-002 5.4e-004 1.00e+000 1.664292405e+002 1.664496382e+002 4.5e-009 18.10
55 7.8e-006 1.0e-002 4.9e-004 1.00e+000 1.664306129e+002 1.664489708e+002 4.0e-009 18.14
56 7.0e-006 1.0e-002 4.4e-004 1.00e+000 1.664318467e+002 1.664483689e+002 3.6e-009 18.16
57 6.3e-006 9.8e-003 3.9e-004 1.00e+000 1.664329560e+002 1.664478260e+002 3.3e-009 18.19
58 5.7e-006 9.6e-003 3.5e-004 1.00e+000 1.664339533e+002 1.664473364e+002 3.0e-009 18.24
59 5.1e-006 9.4e-003 3.2e-004 1.00e+000 1.664348501e+002 1.664468949e+002 2.7e-009 18.27
60 4.6e-006 9.3e-003 2.9e-004 1.00e+000 1.664356565e+002 1.664464968e+002 2.4e-009 18.30
61 4.2e-006 9.1e-003 2.6e-004 1.00e+000 1.664363815e+002 1.664461380e+002 2.2e-009 18.32
62 3.7e-006 9.0e-003 2.3e-004 1.00e+000 1.664370335e+002 1.664458143e+002 1.9e-009 18.35
63 3.4e-006 8.9e-003 2.1e-004 1.00e+000 1.664376198e+002 1.664455226e+002 1.7e-009 18.38
64 3.0e-006 8.8e-003 1.9e-004 1.00e+000 1.664381469e+002 1.664452595e+002 1.6e-009 18.39
65 2.7e-006 8.7e-003 1.7e-004 1.00e+000 1.664386211e+002 1.664450225e+002 1.4e-009 18.42
66 2.5e-006 8.6e-003 1.5e-004 1.00e+000 1.664390475e+002 1.664448088e+002 1.3e-009 18.45
67 2.2e-006 8.5e-003 1.4e-004 1.00e+000 1.664394311e+002 1.664446163e+002 1.1e-009 18.49
68 2.0e-006 8.4e-003 1.2e-004 1.00e+000 1.664397761e+002 1.664444429e+002 1.0e-009 18.50
69 1.8e-006 8.4e-003 1.1e-004 1.00e+000 1.664400865e+002 1.664442867e+002 9.3e-010 18.53
70 1.6e-006 8.3e-003 1.0e-004 1.00e+000 1.664403658e+002 1.664441459e+002 8.3e-010 18.57
71 1.4e-006 8.2e-003 9.0e-005 1.00e+000 1.664406170e+002 1.664440192e+002 7.5e-010 18.60
72 1.3e-006 8.2e-003 8.1e-005 1.00e+000 1.664408430e+002 1.664439050e+002 6.8e-010 18.64
73 1.2e-006 8.1e-003 7.3e-005 1.00e+000 1.664410464e+002 1.664438022e+002 6.1e-010 18.66
74 1.1e-006 8.1e-003 6.6e-005 1.00e+000 1.664412293e+002 1.664437096e+002 5.5e-010 18.69
75 9.5e-007 8.0e-003 5.9e-005 1.00e+000 1.664413939e+002 1.664436262e+002 4.9e-010 18.72
76 8.5e-007 8.0e-003 5.3e-005 1.00e+000 1.664415419e+002 1.664435510e+002 4.4e-010 18.74
77 7.7e-007 8.0e-003 4.8e-005 1.00e+000 1.664416751e+002 1.664434834e+002 4.0e-010 18.78
78 6.9e-007 7.9e-003 4.3e-005 1.00e+000 1.664417950e+002 1.664434224e+002 3.6e-010 18.80
79 6.2e-007 7.9e-003 3.9e-005 1.00e+000 1.664419028e+002 1.664433675e+002 3.2e-010 18.83
80 5.6e-007 7.9e-003 3.5e-005 1.00e+000 1.664419998e+002 1.664433180e+002 2.9e-010 18.88
81 5.0e-007 7.8e-003 3.1e-005 1.00e+000 1.664420870e+002 1.664432734e+002 2.6e-010 18.97
82 4.5e-007 7.8e-003 2.8e-005 1.00e+000 1.664421655e+002 1.664432332e+002 2.4e-010 19.05
83 4.1e-007 7.8e-003 2.5e-005 1.00e+000 1.664422361e+002 1.664431971e+002 2.1e-010 19.08
84 3.7e-007 7.8e-003 2.3e-005 9.99e-001 1.664422996e+002 1.664431646e+002 1.9e-010 19.09
85 3.3e-007 7.7e-003 2.1e-005 1.00e+000 1.664423567e+002 1.664431352e+002 1.7e-010 19.13
86 3.0e-007 7.7e-003 1.9e-005 9.99e-001 1.664424081e+002 1.664431088e+002 1.5e-010 19.16
87 2.7e-007 7.7e-003 1.7e-005 1.00e+000 1.664424544e+002 1.664430850e+002 1.4e-010 19.19
88 2.4e-007 7.7e-003 1.5e-005 9.99e-001 1.664424961e+002 1.664430636e+002 1.3e-010 19.25
89 2.2e-007 7.7e-003 1.4e-005 1.00e+000 1.664425335e+002 1.664430443e+002 1.1e-010 19.28
90 2.0e-007 7.6e-003 1.2e-005 9.99e-001 1.664425672e+002 1.664430270e+002 1.0e-010 19.31
91 1.8e-007 7.6e-003 1.1e-005 1.00e+000 1.664425976e+002 1.664430114e+002 9.1e-011 19.34
92 1.6e-007 7.6e-003 9.9e-006 1.00e+000 1.664426249e+002 1.664429973e+002 8.2e-011 19.36
93 1.4e-007 7.6e-003 8.9e-006 9.97e-001 1.664426495e+002 1.664429847e+002 7.4e-011 19.39
94 1.3e-007 7.6e-003 8.0e-006 9.97e-001 1.664426716e+002 1.664429733e+002 6.7e-011 19.42
95 1.2e-007 7.5e-003 7.2e-006 9.96e-001 1.664426915e+002 1.664429631e+002 6.0e-011 19.45
96 1.0e-007 7.5e-003 6.5e-006 1.00e+000 1.664427095e+002 1.664429539e+002 5.4e-011 19.47
97 9.3e-008 7.5e-003 5.8e-006 1.00e+000 1.664427256e+002 1.664429456e+002 4.9e-011 19.50
98 8.4e-008 7.5e-003 5.2e-006 1.00e+000 1.664427401e+002 1.664429381e+002 4.4e-011 19.53
99 7.6e-008 7.5e-003 4.7e-006 9.96e-001 1.664427532e+002 1.664429314e+002 3.9e-011 19.56
100 6.8e-008 6.7e-003 4.2e-006 1.00e+000 1.664427650e+002 1.664429253e+002 3.5e-011 19.58
101 6.1e-008 6.1e-003 3.8e-006 1.00e+000 1.664427755e+002 1.664429199e+002 3.2e-011 19.61
102 5.5e-008 5.5e-003 3.4e-006 9.99e-001 1.664427851e+002 1.664429150e+002 2.9e-011 19.64
103 5.0e-008 4.9e-003 3.1e-006 1.01e+000 1.664427937e+002 1.664429105e+002 2.6e-011 21.76
104 4.5e-008 4.4e-003 2.8e-006 9.93e-001 1.664428014e+002 1.664429066e+002 2.3e-011 23.15
105 4.0e-008 4.0e-003 2.5e-006 1.01e+000 1.664428085e+002 1.664429029e+002 2.1e-011 23.23
106 3.6e-008 3.6e-003 2.3e-006 1.01e+000 1.664428150e+002 1.664428995e+002 1.9e-011 23.90
107 3.3e-008 3.2e-003 2.0e-006 1.02e+000 1.664428210e+002 1.664428964e+002 1.7e-011 23.93
108 2.9e-008 2.9e-003 1.8e-006 1.01e+000 1.664428261e+002 1.664428938e+002 1.5e-011 23.96
109 2.6e-008 2.6e-003 1.6e-006 1.01e+000 1.664428307e+002 1.664428914e+002 1.4e-011 23.98
110 2.4e-008 2.4e-003 1.5e-006 1.04e+000 1.664428354e+002 1.664428889e+002 1.3e-011 24.01
111 2.1e-008 2.1e-003 1.3e-006 1.02e+000 1.664428392e+002 1.664428870e+002 1.2e-011 24.02
112 1.9e-008 1.9e-003 1.2e-006 9.86e-001 1.664428423e+002 1.664428854e+002 1.0e-011 24.06
113 1.7e-008 1.7e-003 1.1e-006 1.01e+000 1.664428452e+002 1.664428839e+002 9.4e-012 24.07
114 1.6e-008 1.5e-003 9.7e-007 1.02e+000 1.664428480e+002 1.664428824e+002 8.6e-012 24.09
115 1.4e-008 1.4e-003 8.7e-007 1.05e+000 1.664428508e+002 1.664428809e+002 7.9e-012 24.10
116 1.3e-008 1.3e-003 7.9e-007 9.62e-001 1.664428528e+002 1.664428800e+002 7.1e-012 24.13
117 1.2e-008 1.1e-003 7.1e-007 1.07e+000 1.664428552e+002 1.664428786e+002 6.6e-012 24.15
118 1.0e-008 1.0e-003 6.4e-007 9.51e-001 1.664428568e+002 1.664428778e+002 5.9e-012 24.16
119 9.9e-009 9.1e-004 5.7e-007 1.09e+000 1.664428588e+002 1.664428767e+002 5.6e-012 24.18
120 9.0e-009 8.2e-004 5.2e-007 8.92e-001 1.664428600e+002 1.664428761e+002 5.0e-012 24.21
121 7.9e-009 7.4e-004 4.6e-007 7.94e-001 1.664428611e+002 1.664428757e+002 4.5e-012 24.24
122 8.6e-009 6.6e-004 4.2e-007 1.16e+000 1.664428628e+002 1.664428747e+002 4.4e-012 24.26
123 8.0e-009 6.0e-004 3.8e-007 7.64e-001 1.664428636e+002 1.664428742e+002 4.0e-012 24.29
124 7.3e-009 5.4e-004 3.4e-007 7.80e-001 1.664428643e+002 1.664428740e+002 3.6e-012 24.31
125 7.8e-009 4.8e-004 3.0e-007 9.06e-001 1.664428649e+002 1.664428738e+002 3.2e-012 24.32
126 7.0e-009 4.4e-004 2.7e-007 7.56e-001 1.664428655e+002 1.664428735e+002 2.9e-012 24.35
127 6.4e-009 3.9e-004 2.5e-007 2.17e+000 1.664428660e+002 1.664428732e+002 2.6e-012 24.38
128 7.3e-009 3.5e-004 2.2e-007 3.53e+000 1.664428667e+002 1.664428724e+002 2.3e-012 24.40
129 7.9e-009 3.5e-004 2.2e-007 1.15e+002 1.664428668e+002 1.664428723e+002 2.3e-012 24.43
130 8.1e-009 3.4e-004 2.0e-007 4.13e-001 1.664428671e+002 1.664428723e+002 2.0e-012 24.46
131 6.6e-009 3.0e-004 1.8e-007 7.90e-001 1.664428674e+002 1.664428723e+002 1.8e-012 24.48
132 6.8e-009 2.7e-004 1.6e-007 1.04e+000 1.664428678e+002 1.664428721e+002 1.7e-012 24.51
133 2.0e-008 2.5e-004 1.5e-007 3.20e+000 1.664428678e+002 1.664428725e+002 1.5e-012 24.52
134 2.4e-008 2.2e-004 1.3e-007 1.08e+000 1.664428683e+002 1.664428722e+002 1.4e-012 24.56
135 2.4e-008 2.0e-004 1.2e-007 6.64e-001 1.664428685e+002 1.664428720e+002 1.2e-012 24.57
136 2.0e-008 1.8e-004 1.1e-007 6.86e-001 1.664428687e+002 1.664428720e+002 1.1e-012 24.60
137 1.8e-008 1.6e-004 9.6e-008 5.75e-001 1.664428689e+002 1.664428719e+002 1.0e-012 24.62
138 1.5e-008 1.5e-004 8.6e-008 3.77e-001 1.664428691e+002 1.664428718e+002 9.1e-013 24.65
Interior-point optimizer terminated. Time: 24.65.
Optimizer terminated. Time: 24.82
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286913e+002 Viol. con: 4e-007 var: 0e+000
Dual. obj: 1.6644287183e+002 Viol. con: 0e+000 var: 1e-003
* End solution on dual form. *
Transforming to primal solution.
Solving took 24.9 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.02
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 : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 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 : 1.64e+004 after factor : 1.45e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 2.9e+003 1.3e+005 0.00e+000 -1.280489607e+005 2.000000000e+000 1.0e+000 0.11
1 1.1e+003 1.4e+003 6.1e+004 -9.71e-001 -1.258746552e+005 3.573540074e+000 4.8e-001 0.14
2 4.3e+002 5.4e+002 2.4e+004 -9.36e-001 -1.197248519e+005 1.020047887e+001 1.9e-001 0.17
3 2.9e+002 3.6e+002 1.6e+004 -8.39e-001 -1.150061318e+005 6.350460227e+001 1.2e-001 0.19
4 2.8e+002 3.6e+002 1.6e+004 -7.59e-001 -1.124090175e+005 2.256518527e+003 1.2e-001 0.23
5 7.5e+001 9.5e+001 4.1e+003 -7.52e-001 -7.445951062e+004 9.583515894e+003 3.3e-002 0.27
6 3.0e+001 3.8e+001 1.7e+003 -1.95e-001 -4.029029813e+004 1.021235775e+004 1.3e-002 0.28
7 1.8e+001 2.3e+001 9.9e+002 3.95e-001 -2.693753969e+004 6.641971829e+003 7.9e-003 0.33
8 9.5e+000 1.2e+001 5.2e+002 6.31e-001 -1.531786748e+004 3.830168294e+003 4.2e-003 0.36
9 3.6e+000 4.6e+000 2.0e+002 8.16e-001 -5.905179757e+003 1.796572183e+003 1.6e-003 0.38
10 2.0e+000 2.5e+000 1.1e+002 9.47e-001 -3.113318978e+003 1.193554718e+003 8.9e-004 0.41
11 8.5e-001 1.1e+000 4.7e+001 9.81e-001 -1.224279501e+003 6.160623641e+002 3.8e-004 0.42
12 8.2e-001 1.1e+000 4.6e+001 9.50e-001 -1.207775092e+003 5.913560708e+002 3.7e-004 0.45
13 5.1e-001 6.6e-001 2.8e+001 9.72e-001 -7.035578284e+002 4.268398389e+002 2.3e-004 0.47
14 3.1e-001 4.1e-001 1.7e+001 1.00e+000 -3.505789727e+002 3.411861970e+002 1.4e-004 0.50
15 1.1e-001 1.7e-001 6.1e+000 9.98e-001 -2.684427059e+001 2.143801333e+002 5.0e-005 0.52
16 8.2e-002 1.3e-001 4.7e+000 1.02e+000 2.198013309e+001 2.045205467e+002 3.8e-005 0.55
17 4.1e-002 8.3e-002 2.4e+000 1.02e+000 9.510946475e+001 1.869520218e+002 1.9e-005 0.56
18 1.4e-002 8.3e-002 8.2e-001 1.02e+000 1.425314227e+002 1.741990526e+002 6.7e-006 0.59
19 6.3e-003 7.2e-002 3.6e-001 1.01e+000 1.556734170e+002 1.695990317e+002 2.9e-006 0.61
20 1.5e-003 1.6e-001 9.2e-002 1.01e+000 1.638769387e+002 1.673910383e+002 7.5e-007 0.64
21 8.1e-004 1.1e-001 5.0e-002 9.78e-001 1.650488398e+002 1.669447292e+002 4.1e-007 0.66
22 2.5e-004 1.1e-001 1.6e-002 9.89e-001 1.659980700e+002 1.666010504e+002 1.3e-007 0.69
23 1.2e-004 8.9e-002 7.5e-003 1.01e+000 1.662206441e+002 1.665064866e+002 6.3e-008 0.70
24 4.6e-005 8.6e-002 3.0e-003 1.01e+000 1.663410626e+002 1.664565345e+002 2.6e-008 0.73
25 2.1e-005 7.8e-002 1.4e-003 1.01e+000 1.663845715e+002 1.664381923e+002 1.2e-008 0.77
26 1.9e-005 7.1e-002 1.3e-003 1.00e+000 1.663890819e+002 1.664373686e+002 1.1e-008 0.80
27 1.7e-005 6.5e-002 1.2e-003 1.01e+000 1.663923565e+002 1.664358018e+002 9.7e-009 0.81
28 1.6e-005 5.9e-002 1.0e-003 1.00e+000 1.663953629e+002 1.664344570e+002 8.8e-009 0.84
29 1.4e-005 5.4e-002 9.3e-004 1.00e+000 1.663980536e+002 1.664332322e+002 7.9e-009 0.87
30 1.3e-005 5.0e-002 8.4e-004 1.00e+000 1.664004731e+002 1.664321289e+002 7.1e-009 0.89
31 1.1e-005 4.5e-002 7.5e-004 1.00e+000 1.664026472e+002 1.664311334e+002 6.4e-009 0.92
32 1.0e-005 4.2e-002 6.8e-004 1.00e+000 1.664046011e+002 1.664302354e+002 5.8e-009 0.94
33 9.2e-006 3.8e-002 6.1e-004 1.00e+000 1.664063573e+002 1.664294255e+002 5.2e-009 0.98
34 8.3e-006 3.5e-002 5.5e-004 1.00e+000 1.664079359e+002 1.664286952e+002 4.7e-009 7.21
35 7.5e-006 3.3e-002 5.0e-004 1.00e+000 1.664093550e+002 1.664280366e+002 4.2e-009 20.25
36 6.7e-006 3.0e-002 4.5e-004 1.00e+000 1.664106308e+002 1.664274428e+002 3.8e-009 24.96
37 6.1e-006 2.8e-002 4.0e-004 1.00e+000 1.664117778e+002 1.664269075e+002 3.4e-009 25.01
38 5.5e-006 2.6e-002 3.6e-004 1.00e+000 1.664128092e+002 1.664264250e+002 3.1e-009 25.04
39 4.9e-006 2.4e-002 3.2e-004 1.00e+000 1.664137365e+002 1.664259900e+002 2.8e-009 25.05
40 4.4e-006 2.2e-002 2.9e-004 1.00e+000 1.664145704e+002 1.664255979e+002 2.5e-009 25.09
41 4.0e-006 2.1e-002 2.6e-004 1.00e+000 1.664153203e+002 1.664252446e+002 2.2e-009 25.10
42 3.6e-006 2.0e-002 2.4e-004 1.00e+000 1.664159946e+002 1.664249262e+002 2.0e-009 25.13
43 3.2e-006 1.8e-002 2.1e-004 1.00e+000 1.664166010e+002 1.664246392e+002 1.8e-009 25.16
44 2.9e-006 1.7e-002 1.9e-004 1.00e+000 1.664171464e+002 1.664243805e+002 1.6e-009 25.18
45 2.6e-006 1.6e-002 1.7e-004 1.00e+000 1.664176369e+002 1.664241474e+002 1.5e-009 25.21
46 2.3e-006 1.6e-002 1.6e-004 1.00e+000 1.664180780e+002 1.664239373e+002 1.3e-009 25.24
47 2.1e-006 1.5e-002 1.4e-004 1.00e+000 1.664184749e+002 1.664237482e+002 1.2e-009 25.26
48 1.9e-006 1.4e-002 1.3e-004 1.00e+000 1.664188319e+002 1.664235777e+002 1.1e-009 25.29
49 1.7e-006 1.3e-002 1.1e-004 1.00e+000 1.664191531e+002 1.664234243e+002 9.6e-010 25.32
50 1.5e-006 1.3e-002 1.0e-004 1.00e+000 1.664194421e+002 1.664232861e+002 8.6e-010 25.34
51 1.4e-006 1.2e-002 9.2e-005 1.00e+000 1.664197021e+002 1.664231617e+002 7.8e-010 25.37
52 1.2e-006 1.2e-002 8.3e-005 1.00e+000 1.664199360e+002 1.664230496e+002 7.0e-010 25.40
53 1.1e-006 1.1e-002 7.4e-005 1.00e+000 1.664201464e+002 1.664229486e+002 6.3e-010 25.41
54 1.0e-006 1.1e-002 6.7e-005 1.00e+000 1.664203357e+002 1.664228577e+002 5.7e-010 25.44
55 9.1e-007 1.1e-002 6.0e-005 1.00e+000 1.664205061e+002 1.664227758e+002 5.1e-010 25.48
56 8.2e-007 1.0e-002 5.4e-005 1.00e+000 1.664206593e+002 1.664227021e+002 4.6e-010 25.49
57 7.4e-007 1.0e-002 4.9e-005 1.00e+000 1.664207972e+002 1.664226357e+002 4.1e-010 25.52
58 6.6e-007 9.9e-003 4.4e-005 1.00e+000 1.664209213e+002 1.664225759e+002 3.7e-010 25.55
59 6.0e-007 9.7e-003 4.0e-005 1.00e+000 1.664210328e+002 1.664225220e+002 3.3e-010 25.59
60 5.4e-007 9.5e-003 3.6e-005 9.99e-001 1.664211332e+002 1.664224735e+002 3.0e-010 25.62
61 4.8e-007 9.3e-003 3.2e-005 9.99e-001 1.664212235e+002 1.664224298e+002 2.7e-010 25.65
62 4.4e-007 9.1e-003 2.9e-005 9.99e-001 1.664213047e+002 1.664223905e+002 2.4e-010 25.68
63 3.9e-007 9.0e-003 2.6e-005 9.99e-001 1.664213778e+002 1.664223550e+002 2.2e-010 25.71
64 3.5e-007 8.9e-003 2.3e-005 1.00e+000 1.664214435e+002 1.664223230e+002 2.0e-010 25.74
65 3.2e-007 8.7e-003 2.1e-005 1.00e+000 1.664215026e+002 1.664222942e+002 1.8e-010 25.77
66 2.9e-007 8.6e-003 1.9e-005 1.00e+000 1.664215558e+002 1.664222683e+002 1.6e-010 25.80
67 2.6e-007 8.5e-003 1.7e-005 1.00e+000 1.664216037e+002 1.664222449e+002 1.4e-010 25.85
68 2.3e-007 8.4e-003 1.5e-005 1.00e+000 1.664216468e+002 1.664222238e+002 1.3e-010 25.88
69 2.1e-007 8.3e-003 1.4e-005 1.00e+000 1.664216855e+002 1.664222048e+002 1.2e-010 25.91
70 1.9e-007 8.3e-003 1.2e-005 1.00e+000 1.664217204e+002 1.664221878e+002 1.1e-010 25.94
71 1.7e-007 8.2e-003 1.1e-005 1.00e+000 1.664217518e+002 1.664221724e+002 9.5e-011 25.96
72 1.5e-007 8.1e-003 1.0e-005 1.00e+000 1.664217800e+002 1.664221586e+002 8.5e-011 26.01
73 1.4e-007 8.1e-003 9.0e-006 1.00e+000 1.664218055e+002 1.664221461e+002 7.7e-011 26.04
74 1.2e-007 8.0e-003 8.1e-006 9.98e-001 1.664218283e+002 1.664221349e+002 6.9e-011 26.08
75 1.1e-007 8.0e-003 7.3e-006 1.00e+000 1.664218489e+002 1.664221249e+002 6.2e-011 26.11
76 1.0e-007 7.9e-003 6.6e-006 9.96e-001 1.664218674e+002 1.664221158e+002 5.6e-011 26.15
77 9.0e-008 7.9e-003 5.9e-006 1.00e+000 1.664218842e+002 1.664221076e+002 5.0e-011 30.44
78 8.1e-008 7.9e-003 5.3e-006 1.00e+000 1.664218992e+002 1.664221002e+002 4.5e-011 32.40
79 7.3e-008 7.9e-003 4.8e-006 1.00e+000 1.664219129e+002 1.664220935e+002 4.1e-011 34.26
80 6.5e-008 7.1e-003 4.3e-006 1.01e+000 1.664219252e+002 1.664220874e+002 3.7e-011 34.29
81 5.9e-008 6.4e-003 3.9e-006 1.00e+000 1.664219361e+002 1.664220821e+002 3.3e-011 34.32
82 5.3e-008 5.7e-003 3.5e-006 9.99e-001 1.664219459e+002 1.664220773e+002 3.0e-011 35.80
83 4.8e-008 5.2e-003 3.2e-006 9.88e-001 1.664219547e+002 1.664220730e+002 2.7e-011 37.35
84 4.3e-008 4.6e-003 2.8e-006 1.02e+000 1.664219631e+002 1.664220688e+002 2.4e-011 39.27
85 3.9e-008 4.2e-003 2.6e-006 9.93e-001 1.664219702e+002 1.664220654e+002 2.2e-011 41.64
86 3.5e-008 3.8e-003 2.3e-006 9.97e-001 1.664219766e+002 1.664220622e+002 2.0e-011 43.52
87 3.1e-008 3.4e-003 2.1e-006 9.99e-001 1.664219823e+002 1.664220594e+002 1.8e-011 43.66
88 2.8e-008 3.0e-003 1.9e-006 9.92e-001 1.664219875e+002 1.664220569e+002 1.6e-011 45.23
89 2.5e-008 2.7e-003 1.7e-006 9.81e-001 1.664219922e+002 1.664220547e+002 1.4e-011 45.27
90 2.3e-008 2.5e-003 1.5e-006 1.00e+000 1.664219963e+002 1.664220526e+002 1.3e-011 45.30
91 2.1e-008 2.2e-003 1.4e-006 1.01e+000 1.664220003e+002 1.664220507e+002 1.2e-011 45.33
92 1.8e-008 2.0e-003 1.2e-006 9.83e-001 1.664220036e+002 1.664220490e+002 1.1e-011 45.37
93 1.7e-008 1.8e-003 1.1e-006 9.92e-001 1.664220067e+002 1.664220475e+002 9.5e-012 45.41
94 1.5e-008 1.6e-003 9.9e-007 9.84e-001 1.664220094e+002 1.664220462e+002 8.5e-012 45.44
95 1.3e-008 1.5e-003 8.9e-007 9.97e-001 1.664220119e+002 1.664220450e+002 7.7e-012 45.49
96 1.2e-008 1.3e-003 8.0e-007 1.03e+000 1.664220144e+002 1.664220437e+002 7.0e-012 45.52
97 1.1e-008 1.2e-003 7.2e-007 9.61e-001 1.664220164e+002 1.664220428e+002 6.3e-012 45.55
98 9.9e-009 1.1e-003 6.5e-007 9.87e-001 1.664220181e+002 1.664220419e+002 5.7e-012 45.58
99 8.9e-009 9.6e-004 5.8e-007 9.92e-001 1.664220197e+002 1.664220411e+002 5.1e-012 45.63
100 8.0e-009 8.6e-004 5.3e-007 9.57e-001 1.664220212e+002 1.664220405e+002 4.6e-012 45.66
101 7.2e-009 7.7e-004 4.7e-007 9.38e-001 1.664220224e+002 1.664220399e+002 4.1e-012 45.69
102 6.5e-009 7.0e-004 4.3e-007 1.01e+000 1.664220236e+002 1.664220393e+002 3.7e-012 45.74
103 5.8e-009 6.3e-004 3.8e-007 1.05e+000 1.664220249e+002 1.664220386e+002 3.5e-012 45.79
104 5.3e-009 5.6e-004 3.5e-007 9.61e-001 1.664220258e+002 1.664220382e+002 3.1e-012 46.29
105 4.8e-009 5.1e-004 3.1e-007 9.79e-001 1.664220266e+002 1.664220378e+002 2.8e-012 46.32
106 4.4e-009 4.6e-004 2.8e-007 1.01e+000 1.664220274e+002 1.664220374e+002 2.5e-012 46.35
107 4.0e-009 4.1e-004 2.5e-007 9.09e-001 1.664220281e+002 1.664220371e+002 2.3e-012 46.38
108 3.7e-009 3.7e-004 2.3e-007 9.44e-001 1.664220287e+002 1.664220368e+002 2.0e-012 47.00
109 3.4e-009 2.2e-005 1.3e-008 9.01e-001 1.664220339e+002 1.664220344e+002 2.1e-013 47.03
Interior-point optimizer terminated. Time: 47.03.
Optimizer terminated. Time: 47.03
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203388e+002 Viol. con: 9e-008 var: 0e+000
Dual. obj: 1.6642203439e+002 Viol. con: 0e+000 var: 2e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 47.1 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Windows/64-X86
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
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 : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 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 : 1.64e+004 after factor : 1.45e+005
Factor - dense dim. : 0 flops : 0.00e+000
Factor - GP saved nzs : 0 GP saved flops : 0.00e+000
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+003 2.9e+003 1.3e+005 0.00e+000 -1.280480916e+005 2.000000000e+000 1.0e+000 0.09
1 1.1e+003 1.4e+003 6.1e+004 -9.71e-001 -1.258735655e+005 3.573328960e+000 4.8e-001 0.14
2 4.3e+002 5.4e+002 2.4e+004 -9.36e-001 -1.197005178e+005 1.021704830e+001 1.9e-001 0.19
3 2.9e+002 3.6e+002 1.6e+004 -8.39e-001 -1.149813368e+005 6.382280893e+001 1.2e-001 0.23
4 2.8e+002 3.6e+002 1.6e+004 -7.59e-001 -1.123855386e+005 2.255174179e+003 1.2e-001 0.30
5 7.5e+001 9.5e+001 4.1e+003 -7.51e-001 -7.423602500e+004 9.613739173e+003 3.3e-002 0.33
6 3.0e+001 3.8e+001 1.6e+003 -1.92e-001 -4.018137454e+004 1.017431275e+004 1.3e-002 0.37
7 1.8e+001 2.3e+001 9.9e+002 3.96e-001 -2.694060206e+004 6.639020084e+003 7.9e-003 0.42
8 9.5e+000 1.2e+001 5.2e+002 6.31e-001 -1.520626697e+004 3.808637062e+003 4.1e-003 0.45
9 3.3e+000 4.2e+000 1.8e+002 8.18e-001 -5.318863351e+003 1.679779111e+003 1.4e-003 0.50
10 1.6e+000 2.0e+000 8.9e+001 9.54e-001 -2.417651769e+003 1.055147486e+003 7.1e-004 0.53
11 9.5e-001 1.2e+000 5.3e+001 9.86e-001 -1.370556953e+003 7.033900888e+002 4.2e-004 0.58
12 8.6e-001 1.1e+000 4.8e+001 9.64e-001 -1.258995060e+003 6.421015655e+002 3.8e-004 0.62
13 4.8e-001 6.1e-001 2.7e+001 9.77e-001 -6.393562892e+002 4.225783025e+002 2.1e-004 0.69
14 2.6e-001 3.4e-001 1.4e+001 1.00e+000 -2.623845870e+002 3.061909141e+002 1.2e-004 0.73
15 9.2e-002 1.5e-001 5.3e+000 1.00e+000 -2.393457234e+000 2.056342974e+002 4.3e-005 0.76
16 8.6e-002 1.3e-001 4.9e+000 1.02e+000 1.576520354e+001 2.083366635e+002 4.0e-005 0.80
17 6.0e-002 9.5e-002 3.4e+000 1.02e+000 6.107156447e+001 1.952044532e+002 2.8e-005 0.84
18 3.4e-002 7.3e-002 1.9e+000 1.02e+000 1.081911597e+002 1.827217315e+002 1.6e-005 0.87
19 9.3e-003 1.7e-001 5.4e-001 1.02e+000 1.512030745e+002 1.719128090e+002 4.3e-006 0.92
20 3.4e-003 2.1e-001 2.0e-001 1.01e+000 1.605108808e+002 1.682875649e+002 1.7e-006 0.97
21 1.3e-003 1.3e-001 7.6e-002 1.01e+000 1.642779454e+002 1.671863568e+002 6.2e-007 1.00
22 8.5e-004 1.0e-001 5.1e-002 9.84e-001 1.649813604e+002 1.669397444e+002 4.2e-007 1.04
23 2.6e-004 1.1e-001 1.6e-002 9.86e-001 1.659710766e+002 1.665859668e+002 1.3e-007 1.08
24 9.4e-005 1.0e-001 6.0e-003 1.01e+000 1.662464771e+002 1.664756790e+002 5.1e-008 9.88
25 3.7e-005 9.6e-002 2.4e-003 1.01e+000 1.663445765e+002 1.664349664e+002 2.0e-008 9.95
26 1.7e-005 8.1e-002 1.1e-003 1.00e+000 1.663787298e+002 1.664205999e+002 9.5e-009 26.44
27 1.5e-005 7.4e-002 1.0e-003 1.00e+000 1.663822231e+002 1.664199215e+002 8.5e-009 41.11
28 1.4e-005 6.7e-002 9.0e-004 1.01e+000 1.663847897e+002 1.664187110e+002 7.7e-009 44.16
29 1.2e-005 6.1e-002 8.1e-004 1.00e+000 1.663871433e+002 1.664176671e+002 6.9e-009 44.23
30 1.1e-005 5.6e-002 7.3e-004 1.00e+000 1.663892515e+002 1.664167186e+002 6.2e-009 44.29
31 1.0e-005 5.1e-002 6.6e-004 1.00e+000 1.663911474e+002 1.664158642e+002 5.6e-009 60.54
32 9.0e-006 4.7e-002 5.9e-004 1.00e+000 1.663928515e+002 1.664150937e+002 5.0e-009 60.58
33 8.1e-006 4.3e-002 5.3e-004 1.00e+000 1.663943835e+002 1.664143991e+002 4.5e-009 60.61
34 7.3e-006 3.9e-002 4.8e-004 1.00e+000 1.663957607e+002 1.664137728e+002 4.1e-009 63.15
35 6.6e-006 3.6e-002 4.3e-004 1.00e+000 1.663969990e+002 1.664132084e+002 3.7e-009 63.37
36 5.9e-006 3.3e-002 3.9e-004 1.00e+000 1.663981125e+002 1.664126996e+002 3.3e-009 63.41
37 5.3e-006 3.1e-002 3.5e-004 1.00e+000 1.663991137e+002 1.664122411e+002 3.0e-009 63.48
38 4.8e-006 2.9e-002 3.1e-004 1.00e+000 1.664000141e+002 1.664118279e+002 2.7e-009 63.62
39 4.3e-006 2.7e-002 2.8e-004 1.00e+000 1.664008238e+002 1.664114555e+002 2.4e-009 63.70
40 3.9e-006 2.5e-002 2.5e-004 1.00e+000 1.664015520e+002 1.664111199e+002 2.2e-009 63.76
41 3.5e-006 2.3e-002 2.3e-004 1.00e+000 1.664022068e+002 1.664108176e+002 2.0e-009 63.84
42 3.1e-006 2.1e-002 2.1e-004 1.00e+000 1.664027957e+002 1.664105450e+002 1.8e-009 63.90
43 2.8e-006 2.0e-002 1.9e-004 1.00e+000 1.664033253e+002 1.664102994e+002 1.6e-009 63.98
44 2.5e-006 1.9e-002 1.7e-004 1.00e+000 1.664038017e+002 1.664100782e+002 1.4e-009 64.04
45 2.3e-006 1.8e-002 1.5e-004 1.00e+000 1.664042303e+002 1.664098789e+002 1.3e-009 64.10
46 2.1e-006 1.7e-002 1.4e-004 1.00e+000 1.664046158e+002 1.664096994e+002 1.2e-009 64.16
47 1.9e-006 1.6e-002 1.2e-004 1.00e+000 1.664049626e+002 1.664095377e+002 1.0e-009 64.24
48 1.7e-006 1.5e-002 1.1e-004 1.00e+000 1.664052747e+002 1.664093922e+002 9.3e-010 64.30
49 1.5e-006 1.4e-002 9.8e-005 1.00e+000 1.664055554e+002 1.664092611e+002 8.4e-010 64.37
50 1.4e-006 1.4e-002 8.9e-005 1.00e+000 1.664058080e+002 1.664091431e+002 7.6e-010 64.41
51 1.2e-006 1.3e-002 8.0e-005 1.00e+000 1.664060352e+002 1.664090368e+002 6.8e-010 64.47
52 1.1e-006 1.2e-002 7.2e-005 1.00e+000 1.664062397e+002 1.664089411e+002 6.1e-010 64.54
53 9.9e-007 1.2e-002 6.5e-005 1.00e+000 1.664064236e+002 1.664088548e+002 5.5e-010 64.68
54 8.9e-007 1.2e-002 5.8e-005 1.00e+000 1.664065891e+002 1.664087772e+002 5.0e-010 64.72
55 8.0e-007 1.1e-002 5.2e-005 1.00e+000 1.664067381e+002 1.664087073e+002 4.5e-010 64.77
56 7.2e-007 1.1e-002 4.7e-005 1.00e+000 1.664068720e+002 1.664086443e+002 4.0e-010 64.83
57 6.5e-007 1.0e-002 4.2e-005 1.00e+000 1.664069925e+002 1.664085876e+002 3.6e-010 65.35
58 5.8e-007 1.0e-002 3.8e-005 1.00e+000 1.664071009e+002 1.664085365e+002 3.3e-010 66.27
59 5.2e-007 9.9e-003 3.4e-005 1.00e+000 1.664071985e+002 1.664084905e+002 2.9e-010 66.42
60 4.7e-007 9.7e-003 3.1e-005 1.00e+000 1.664072862e+002 1.664084490e+002 2.6e-010 66.66
61 4.2e-007 9.5e-003 2.8e-005 1.00e+000 1.664073651e+002 1.664084116e+002 2.4e-010 66.78
62 3.8e-007 9.3e-003 2.5e-005 1.00e+000 1.664074361e+002 1.664083780e+002 2.1e-010 74.32
63 3.4e-007 9.1e-003 2.3e-005 1.00e+000 1.664074999e+002 1.664083476e+002 1.9e-010 74.40
64 3.1e-007 9.0e-003 2.0e-005 1.00e+000 1.664075574e+002 1.664083203e+002 1.7e-010 74.46
65 2.8e-007 8.8e-003 1.8e-005 1.00e+000 1.664076091e+002 1.664082957e+002 1.6e-010 74.52
66 2.5e-007 8.7e-003 1.6e-005 1.00e+000 1.664076556e+002 1.664082735e+002 1.4e-010 74.58
67 2.3e-007 8.6e-003 1.5e-005 9.99e-001 1.664076974e+002 1.664082536e+002 1.3e-010 75.96
68 2.0e-007 8.5e-003 1.3e-005 1.00e+000 1.664077351e+002 1.664082356e+002 1.1e-010 75.99
69 1.8e-007 8.4e-003 1.2e-005 1.00e+000 1.664077689e+002 1.664082194e+002 1.0e-010 76.02
70 1.6e-007 8.3e-003 1.1e-005 1.00e+000 1.664077994e+002 1.664082048e+002 9.2e-011 83.06
71 1.5e-007 8.2e-003 9.7e-006 1.00e+000 1.664078269e+002 1.664081917e+002 8.3e-011 91.62
72 1.3e-007 8.2e-003 8.7e-006 1.00e+000 1.664078515e+002 1.664081799e+002 7.5e-011 102.56
73 1.2e-007 8.1e-003 7.9e-006 1.00e+000 1.664078737e+002 1.664081692e+002 6.7e-011 102.62
74 1.1e-007 8.0e-003 7.1e-006 9.96e-001 1.664078937e+002 1.664081597e+002 6.0e-011 102.68
75 9.7e-008 8.0e-003 6.4e-006 9.98e-001 1.664079117e+002 1.664081511e+002 5.4e-011 102.74
76 8.7e-008 8.0e-003 5.7e-006 1.01e+000 1.664079281e+002 1.664081432e+002 4.9e-011 102.77
77 7.9e-008 7.9e-003 5.2e-006 9.98e-001 1.664079427e+002 1.664081363e+002 4.4e-011 102.82
78 7.1e-008 7.9e-003 4.6e-006 1.00e+000 1.664079558e+002 1.664081299e+002 4.0e-011 102.85
79 6.4e-008 7.8e-003 4.2e-006 9.98e-001 1.664079676e+002 1.664081243e+002 3.6e-011 102.90
80 5.7e-008 7.8e-003 3.8e-006 1.00e+000 1.664079782e+002 1.664081192e+002 3.2e-011 102.93
81 5.2e-008 7.8e-003 3.4e-006 9.92e-001 1.664079877e+002 1.664081147e+002 2.9e-011 102.96
82 4.6e-008 7.7e-003 3.0e-006 9.95e-001 1.664079963e+002 1.664081106e+002 2.6e-011 102.98
83 4.2e-008 7.7e-003 2.7e-006 9.94e-001 1.664080040e+002 1.664081069e+002 2.3e-011 103.01
84 3.8e-008 6.9e-003 2.5e-006 1.01e+000 1.664080113e+002 1.664081034e+002 2.1e-011 103.05
85 3.4e-008 6.2e-003 2.2e-006 1.00e+000 1.664080175e+002 1.664081004e+002 1.9e-011 103.08
86 3.0e-008 5.6e-003 2.0e-006 1.00e+000 1.664080231e+002 1.664080977e+002 1.7e-011 103.12
87 2.7e-008 5.0e-003 1.8e-006 1.01e+000 1.664080284e+002 1.664080951e+002 1.6e-011 103.13
88 2.5e-008 4.5e-003 1.6e-006 1.04e+000 1.664080337e+002 1.664080925e+002 1.4e-011 103.16
89 2.2e-008 4.1e-003 1.5e-006 9.92e-001 1.664080377e+002 1.664080906e+002 1.3e-011 103.19
90 2.0e-008 3.7e-003 1.3e-006 1.01e+000 1.664080414e+002 1.664080888e+002 1.2e-011 103.23
91 1.8e-008 3.3e-003 1.2e-006 1.02e+000 1.664080448e+002 1.664080872e+002 1.0e-011 103.26
92 1.6e-008 3.0e-003 1.1e-006 9.92e-001 1.664080476e+002 1.664080858e+002 9.4e-012 103.29
93 1.5e-008 2.7e-003 9.6e-007 9.82e-001 1.664080502e+002 1.664080846e+002 8.5e-012 103.30
94 1.3e-008 2.4e-003 8.6e-007 9.75e-001 1.664080525e+002 1.664080835e+002 7.7e-012 103.33
95 1.2e-008 2.2e-003 7.7e-007 9.51e-001 1.664080546e+002 1.664080825e+002 6.9e-012 103.37
96 1.1e-008 2.0e-003 7.0e-007 1.02e+000 1.664080566e+002 1.664080816e+002 6.2e-012 103.40
97 9.6e-009 1.8e-003 6.3e-007 9.77e-001 1.664080583e+002 1.664080808e+002 5.6e-012 103.43
98 8.6e-009 1.6e-003 5.6e-007 1.03e+000 1.664080601e+002 1.664080799e+002 5.1e-012 103.46
99 7.8e-009 1.4e-003 5.1e-007 9.46e-001 1.664080614e+002 1.664080793e+002 4.6e-012 103.47
100 7.0e-009 1.3e-003 4.6e-007 9.96e-001 1.664080626e+002 1.664080787e+002 4.2e-012 103.51
101 6.3e-009 1.2e-003 4.1e-007 9.02e-001 1.664080637e+002 1.664080782e+002 3.8e-012 103.54
102 5.7e-009 1.0e-003 3.7e-007 1.02e+000 1.664080647e+002 1.664080777e+002 3.4e-012 103.57
103 5.4e-009 9.4e-004 3.3e-007 1.14e+000 1.664080662e+002 1.664080769e+002 3.3e-012 103.60
104 4.9e-009 8.4e-004 3.0e-007 8.63e-001 1.664080669e+002 1.664080766e+002 3.0e-012 103.62
105 4.3e-009 7.6e-004 2.7e-007 8.89e-001 1.664080675e+002 1.664080763e+002 2.7e-012 103.65
106 4.0e-009 6.8e-004 2.4e-007 1.07e+000 1.664080683e+002 1.664080759e+002 2.5e-012 103.68
107 4.6e-009 8.2e-005 2.9e-008 6.63e-001 1.664080733e+002 1.664080743e+002 5.7e-013 103.71
Interior-point optimizer terminated. Time: 103.71.
Optimizer terminated. Time: 103.77
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807326e+002 Viol. con: 1e-007 var: 0e+000
Dual. obj: 1.6640807433e+002 Viol. con: 0e+000 var: 6e-004
* End solution on dual form. *
Transforming to primal solution.
Solving took 104 seconds.
Solving took 9 GP solves and 320 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: 1.495740576184455e+110 vs 1.49570291754e+110
GP iteration 0 has relaxed constants
Cost
----
1.496e+110
Free Variables
--------------
| Mission1.Aircraft.Engine.Turbine.Relax1
C_{p_{t2}} : 2.251 Cp Value for Combustion Products in LP Turbine
| Mission1.Aircraft.Fuselage.Relax1
l_{nose} : 1.042 Nose length
n_{pass} : [ 2.86 ] Number of passengers
| Mission1.Aircraft.Relax1
f_{L_{total/wing}} : 1.656 Total lift as a percentage of wing lift
| Mission1.Aircraft.Wing.WingNoStruct.Relax1
\tan(\Lambda) : 1.133 Tangent of quarter-chord sweep angle
| Mission1.FlightState.Atmosphere.Relax1
L_{atm} : [ 1.77 1 1 1 1 ] Temperature lapse rate
T_{sl} : [ 1 1 1.25 1 1 ] Temperature at sea level
| Mission1.Relax1
R_{req} : 2.362 Required Cruise Range
GP iteration 1 has relaxed constants
Cost
----
7.486e+74
Free Variables
--------------
| Mission1.Aircraft.Engine.Combustor.Relax1
hold_{4a} : 1.093 1+(gamma-1)/2 * M_4a**2
| Mission1.Aircraft.Fuselage.Relax1
n_{pass} : [ 1.03 ] Number of passengers
| Mission1.Aircraft.LandingGear.Relax1
h_{hold} : 1.006 Hold height
Solution check warning: Primal solution computed cost did not match solver-returned cost: 3.70536643296461e+72 vs 3.70524642763e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682272]
Total Aircraft Weight Percent Diff: [-21.4805569]
Engine Weight Percent Diff: -56.27821872276607
Fuselage Weight Percent Diff: -0.8697208997841483
Payload Weight Percent Diff: [-0.04003555]
VT Weight Percent Diff: -8.607611484529064
HT Weight Percent Diff: -93.23325774299704
Wing Weight Percent Diff: 8.267475871184851
WING DIFFERENCES
Wing Span Percent Diff: -0.029995857088337505
Wing Area Percent Diff: 32.90000447522949
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.48914931636229
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022327054569146
VT Area Percent Diff: -60.38682372358734
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54728254]
L/D Percent Diff: [24.01021252]
Nacelle Cd Percent Diff: [-94.27640891]
HT Cd Percent Diff: [-80.76937362] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00299789] dimensionless
Wing Cd percent Diff: [-14.22925056]
Induced Drag Cd Percent Diff: [1.2194005]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035902]
FUSELAGE DIFFERENCES
Weight of HB material: -38.3600666428345
Weight of VB material: 87.82455581369335
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260519]