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Passed
gpkit.tests.from_paths.TestFiles.test_SPaircraft_py_mosek (from gpkit.tests.from_paths.TestFiles-20190901153811)
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 : Linux/64-X86
Cores : 20
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 : 20
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 : 0.17 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285824792e+05 2.000000000e+00 1.0e+00 0.18
1 1.1e+03 1.5e+03 6.3e+04 -9.71e-01 -1.265132514e+05 3.611589420e+00 4.9e-01 0.25
2 4.1e+02 5.4e+02 2.3e+04 -9.38e-01 -1.199666169e+05 1.064041138e+01 1.8e-01 0.28
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.156309126e+05 6.812702963e+01 1.3e-01 0.31
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.131522901e+05 2.113211995e+03 1.3e-01 0.35
5 8.8e+01 1.2e+02 5.0e+03 -7.53e-01 -8.096538237e+04 8.430204037e+03 3.9e-02 0.38
6 3.7e+01 4.8e+01 2.1e+03 -2.92e-01 -4.806295568e+04 1.015705753e+04 1.6e-02 0.41
7 2.1e+01 2.8e+01 1.2e+03 2.53e-01 -3.183959973e+04 7.147574260e+03 9.5e-03 0.44
8 9.4e+00 1.2e+01 5.3e+02 5.37e-01 -1.516213576e+04 4.167067597e+03 4.2e-03 0.47
9 5.5e+00 7.2e+00 3.1e+02 8.14e-01 -8.873654488e+03 2.833843752e+03 2.5e-03 0.50
10 1.3e+00 1.8e+00 7.7e+01 9.07e-01 -2.032976954e+03 9.282385087e+02 6.1e-04 0.53
11 7.0e-01 9.2e-01 4.0e+01 9.94e-01 -8.350002142e+02 7.206024908e+02 3.2e-04 0.56
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.846306076e+02 5.632460213e+02 2.1e-04 0.59
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.148957258e+02 4.857769751e+02 1.6e-04 0.62
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.857417116e+01 3.656902710e+02 7.9e-05 0.66
15 5.5e-02 1.5e-01 3.3e+00 9.94e-01 1.620485362e+02 2.901550655e+02 2.6e-05 0.69
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.996394651e+02 2.746181590e+02 1.6e-05 0.72
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.444824012e+02 2.572405213e+02 2.8e-06 0.74
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509288752e+02 2.546905409e+02 8.3e-07 0.77
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527800442e+02 2.540213968e+02 2.8e-07 0.80
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532857302e+02 2.538354980e+02 1.2e-07 0.82
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533271035e+02 2.538219096e+02 1.1e-07 0.85
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533631909e+02 2.538084914e+02 1.0e-07 0.88
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533957124e+02 2.537964664e+02 9.0e-08 0.91
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534249555e+02 2.537856200e+02 8.1e-08 0.93
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534512557e+02 2.537758421e+02 7.3e-08 0.96
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534749084e+02 2.537670264e+02 6.6e-08 0.99
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534961824e+02 2.537590805e+02 5.9e-08 1.02
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535153179e+02 2.537519196e+02 5.3e-08 1.04
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535325308e+02 2.537454669e+02 4.8e-08 1.07
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535480148e+02 2.537396530e+02 4.3e-08 1.11
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535619442e+02 2.537344150e+02 3.9e-08 1.13
32 5.9e-05 2.9e-02 4.0e-03 1.00e+00 2.535744754e+02 2.537296963e+02 3.5e-08 1.17
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535857490e+02 2.537254456e+02 3.1e-08 1.19
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535958915e+02 2.537216167e+02 2.8e-08 1.22
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536050166e+02 2.537181679e+02 2.5e-08 1.25
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536132264e+02 2.537150615e+02 2.3e-08 1.28
37 3.5e-05 2.0e-02 2.4e-03 1.00e+00 2.536206130e+02 2.537122637e+02 2.1e-08 1.31
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536272589e+02 2.537097440e+02 1.9e-08 1.34
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536332386e+02 2.537074747e+02 1.7e-08 1.37
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536386189e+02 2.537054310e+02 1.5e-08 1.40
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536434601e+02 2.537035907e+02 1.4e-08 1.43
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536478161e+02 2.537019335e+02 1.2e-08 1.46
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536517357e+02 2.537004413e+02 1.1e-08 1.50
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536552627e+02 2.536990976e+02 9.8e-09 1.53
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536584365e+02 2.536978878e+02 8.9e-09 1.56
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536612924e+02 2.536967986e+02 8.0e-09 1.60
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536638623e+02 2.536958179e+02 7.2e-09 1.63
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536661750e+02 2.536949350e+02 6.5e-09 1.66
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536682562e+02 2.536941402e+02 5.8e-09 1.70
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536701290e+02 2.536934247e+02 5.2e-09 1.73
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536718144e+02 2.536927806e+02 4.7e-09 1.76
52 7.2e-06 1.0e-02 4.9e-04 1.00e+00 2.536733312e+02 2.536922007e+02 4.2e-09 1.80
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536746961e+02 2.536916788e+02 3.8e-09 1.83
54 5.9e-06 9.6e-03 3.9e-04 1.00e+00 2.536759245e+02 2.536912089e+02 3.4e-09 1.86
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770300e+02 2.536907860e+02 3.1e-09 1.90
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780248e+02 2.536904052e+02 2.8e-09 1.93
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789201e+02 2.536900625e+02 2.5e-09 1.97
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797258e+02 2.536897540e+02 2.3e-09 2.00
59 3.5e-06 8.7e-03 2.3e-04 1.00e+00 2.536804509e+02 2.536894763e+02 2.0e-09 2.03
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811034e+02 2.536892263e+02 1.8e-09 2.07
61 2.8e-06 8.5e-03 1.9e-04 1.00e+00 2.536816907e+02 2.536890013e+02 1.6e-09 2.10
62 1.1e-06 3.2e-03 7.2e-05 1.00e+00 2.536849609e+02 2.536877473e+02 6.3e-10 2.14
63 9.6e-07 2.9e-03 6.4e-05 1.00e+00 2.536851627e+02 2.536876705e+02 5.6e-10 2.17
64 8.8e-07 2.7e-03 5.9e-05 1.00e+00 2.536853103e+02 2.536876138e+02 5.2e-10 2.20
65 8.6e-07 2.6e-03 5.8e-05 1.00e+00 2.536853425e+02 2.536876014e+02 5.1e-10 2.24
66 8.5e-07 2.6e-03 5.7e-05 1.00e+00 2.536853742e+02 2.536875893e+02 5.0e-10 2.27
67 3.0e-07 9.3e-04 2.0e-05 1.00e+00 2.536864073e+02 2.536871928e+02 1.8e-10 2.31
68 2.9e-07 9.3e-04 2.0e-05 1.00e+00 2.536864183e+02 2.536871886e+02 1.7e-10 2.34
69 2.7e-07 8.4e-04 1.8e-05 1.00e+00 2.536864712e+02 2.536871683e+02 1.6e-10 2.38
70 2.7e-07 8.4e-04 1.8e-05 1.00e+00 2.536864731e+02 2.536871676e+02 1.6e-10 2.41
71 2.6e-07 8.3e-04 1.8e-05 1.00e+00 2.536864750e+02 2.536871669e+02 1.6e-10 2.45
72 2.4e-07 7.6e-04 1.6e-05 1.00e+00 2.536865201e+02 2.536871495e+02 1.4e-10 2.49
73 2.3e-07 7.2e-04 1.5e-05 1.00e+00 2.536865401e+02 2.536871419e+02 1.4e-10 2.52
74 2.1e-07 6.6e-04 1.4e-05 1.00e+00 2.536865814e+02 2.536871260e+02 1.2e-10 2.56
75 2.1e-07 6.5e-04 1.4e-05 1.00e+00 2.536865829e+02 2.536871254e+02 1.2e-10 2.59
76 2.0e-07 6.3e-04 1.3e-05 1.00e+00 2.536866001e+02 2.536871188e+02 1.2e-10 2.63
77 1.8e-07 5.7e-04 1.2e-05 1.00e+00 2.536866357e+02 2.536871051e+02 1.1e-10 2.66
78 1.8e-07 5.6e-04 1.2e-05 1.00e+00 2.536866370e+02 2.536871046e+02 1.1e-10 2.70
79 1.6e-07 5.1e-04 1.1e-05 1.00e+00 2.536866691e+02 2.536870923e+02 9.5e-11 2.73
80 1.5e-07 4.6e-04 9.8e-06 1.00e+00 2.536866996e+02 2.536870805e+02 8.6e-11 2.77
81 1.3e-07 4.1e-04 8.8e-06 1.00e+00 2.536867272e+02 2.536870700e+02 7.7e-11 2.81
82 1.3e-07 4.0e-04 8.4e-06 1.00e+00 2.536867381e+02 2.536870658e+02 7.4e-11 2.85
83 1.2e-07 4.0e-04 8.4e-06 1.00e+00 2.536867389e+02 2.536870654e+02 7.3e-11 2.88
84 1.1e-07 3.6e-04 7.6e-06 1.00e+00 2.536867625e+02 2.536870564e+02 6.6e-11 2.91
85 1.0e-07 3.2e-04 6.8e-06 1.00e+00 2.536867837e+02 2.536870482e+02 5.9e-11 2.95
86 9.7e-08 3.1e-04 6.5e-06 1.00e+00 2.536867921e+02 2.536870450e+02 5.7e-11 2.98
87 8.7e-08 2.8e-04 5.9e-06 1.00e+00 2.536868095e+02 2.536870383e+02 5.1e-11 3.02
88 8.4e-08 2.6e-04 5.6e-06 1.00e+00 2.536868168e+02 2.536870355e+02 4.9e-11 3.05
89 8.3e-08 2.6e-04 5.6e-06 1.00e+00 2.536868174e+02 2.536870353e+02 4.9e-11 3.09
90 8.3e-08 2.6e-04 5.6e-06 1.00e+00 2.536868179e+02 2.536870350e+02 4.9e-11 3.12
91 7.5e-08 2.4e-04 5.0e-06 1.00e+00 2.536868336e+02 2.536870290e+02 4.4e-11 3.16
92 7.5e-08 2.4e-04 5.0e-06 1.00e+00 2.536868336e+02 2.536870290e+02 4.4e-11 3.19
93 6.7e-08 2.1e-04 4.5e-06 1.00e+00 2.536868477e+02 2.536870236e+02 3.9e-11 3.23
94 6.0e-08 1.9e-04 4.1e-06 1.00e+00 2.536868604e+02 2.536870187e+02 3.6e-11 3.26
95 6.0e-08 1.9e-04 4.1e-06 1.00e+00 2.536868605e+02 2.536870187e+02 3.6e-11 3.30
96 5.4e-08 1.7e-04 3.7e-06 1.00e+00 2.536868719e+02 2.536870143e+02 3.2e-11 3.33
97 4.9e-08 1.6e-04 3.3e-06 1.00e+00 2.536868816e+02 2.536870105e+02 2.9e-11 3.36
98 4.5e-08 1.4e-04 3.0e-06 1.00e+00 2.536868892e+02 2.536870076e+02 2.7e-11 3.40
99 4.5e-08 1.4e-04 3.0e-06 1.00e+00 2.536868892e+02 2.536870076e+02 2.7e-11 3.43
100 4.1e-08 1.3e-04 2.8e-06 1.00e+00 2.536868973e+02 2.536870045e+02 2.4e-11 3.46
101 3.7e-08 1.2e-04 2.5e-06 1.00e+00 2.536869051e+02 2.536870015e+02 2.2e-11 3.50
102 3.7e-08 1.2e-04 2.5e-06 1.00e+00 2.536869051e+02 2.536870015e+02 2.2e-11 3.53
103 3.3e-08 1.1e-04 2.2e-06 1.00e+00 2.536869120e+02 2.536869988e+02 1.9e-11 3.57
104 3.0e-08 9.6e-05 2.0e-06 9.99e-01 2.536869180e+02 2.536869965e+02 1.8e-11 3.60
105 2.7e-08 8.6e-05 1.8e-06 9.99e-01 2.536869237e+02 2.536869943e+02 1.6e-11 3.64
106 2.4e-08 7.8e-05 1.6e-06 1.00e+00 2.536869288e+02 2.536869924e+02 1.4e-11 3.67
107 2.3e-08 7.4e-05 1.6e-06 9.99e-01 2.536869308e+02 2.536869916e+02 1.4e-11 3.71
108 2.3e-08 7.4e-05 1.6e-06 1.00e+00 2.536869308e+02 2.536869916e+02 1.4e-11 3.74
109 2.1e-08 6.7e-05 1.4e-06 1.00e+00 2.536869352e+02 2.536869899e+02 1.2e-11 3.78
110 1.9e-08 6.0e-05 1.3e-06 1.00e+00 2.536869389e+02 2.536869884e+02 1.1e-11 3.81
111 1.9e-08 6.0e-05 1.3e-06 1.00e+00 2.536869389e+02 2.536869884e+02 1.1e-11 3.84
112 1.7e-08 5.5e-05 1.2e-06 1.00e+00 2.536869423e+02 2.536869871e+02 1.0e-11 3.88
113 1.5e-08 4.9e-05 1.0e-06 9.99e-01 2.536869456e+02 2.536869859e+02 9.1e-12 3.91
114 1.4e-08 4.5e-05 9.4e-07 1.00e+00 2.536869482e+02 2.536869849e+02 8.2e-12 3.95
115 1.4e-08 4.5e-05 9.4e-07 1.00e+00 2.536869482e+02 2.536869849e+02 8.2e-12 3.99
116 1.3e-08 4.0e-05 8.5e-07 1.00e+00 2.536869508e+02 2.536869838e+02 7.4e-12 4.02
117 1.2e-08 3.9e-05 8.3e-07 1.00e+00 2.536869513e+02 2.536869837e+02 7.3e-12 4.06
118 1.2e-08 3.9e-05 8.3e-07 9.98e-01 2.536869513e+02 2.536869837e+02 7.3e-12 4.09
119 1.2e-08 3.7e-05 7.8e-07 1.00e+00 2.536869528e+02 2.536869831e+02 6.8e-12 4.13
120 1.0e-08 3.3e-05 7.0e-07 1.00e+00 2.536869550e+02 2.536869822e+02 6.1e-12 4.16
121 1.0e-08 3.3e-05 7.0e-07 1.00e+00 2.536869550e+02 2.536869822e+02 6.1e-12 4.20
122 9.3e-09 3.0e-05 6.3e-07 1.00e+00 2.536869570e+02 2.536869814e+02 5.5e-12 4.23
123 8.4e-09 2.7e-05 5.7e-07 1.00e+00 2.536869588e+02 2.536869808e+02 5.0e-12 4.27
Interior-point optimizer terminated. Time: 4.27.
Optimizer terminated. Time: 4.29
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695878e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 2.5368698076e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.31 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 : Linux/64-X86
Cores : 20
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 : 20
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+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286636032e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.264180260e+05 3.781070855e+00 4.7e-01 0.42
2 4.6e+02 6.0e+02 2.6e+04 -9.35e-01 -1.210471962e+05 9.871250649e+00 2.0e-01 0.45
3 2.9e+02 3.8e+02 1.6e+04 -8.50e-01 -1.158624976e+05 5.253701852e+01 1.3e-01 0.48
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.137381539e+05 1.863811987e+03 1.3e-01 0.51
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.842864588e+04 9.038469656e+03 3.6e-02 0.54
6 3.6e+01 4.7e+01 2.0e+03 -2.53e-01 -4.698030274e+04 1.010176988e+04 1.6e-02 0.57
7 1.8e+01 2.4e+01 1.0e+03 2.76e-01 -2.813348941e+04 6.397683197e+03 8.2e-03 0.59
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.477869509e+04 4.004072466e+03 4.0e-03 0.62
9 5.7e+00 7.4e+00 3.2e+02 8.20e-01 -9.247830706e+03 2.776682187e+03 2.5e-03 0.65
10 1.9e+00 2.5e+00 1.1e+02 9.03e-01 -3.003060754e+03 1.154002873e+03 8.5e-04 0.68
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.419019714e+03 1.010907309e+03 7.0e-04 0.72
12 1.0e+00 1.4e+00 5.7e+01 9.77e-01 -1.494910151e+03 7.263451569e+02 4.5e-04 0.75
13 4.7e-01 7.0e-01 2.7e+01 9.83e-01 -6.134623811e+02 4.375217471e+02 2.1e-04 0.78
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.355955946e+02 3.290669131e+02 1.1e-04 0.81
15 1.0e-01 1.7e-01 5.9e+00 1.00e+00 7.317544677e+00 2.369834329e+02 4.7e-05 0.84
16 5.0e-02 1.0e-01 2.9e+00 1.00e+00 9.073378615e+01 2.038615137e+02 2.3e-05 0.87
17 1.0e-02 1.5e-01 6.3e-01 1.01e+00 1.546017177e+02 1.791070647e+02 5.2e-06 0.90
18 6.2e-03 1.0e-01 3.8e-01 1.01e+00 1.615121039e+02 1.764421347e+02 3.2e-06 0.93
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.694752248e+02 1.734658693e+02 8.7e-07 0.97
20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717779191e+02 1.726253079e+02 1.9e-07 1.00
21 1.4e-04 1.0e-01 9.3e-03 9.93e-01 1.721395944e+02 1.725021463e+02 8.2e-08 1.03
22 8.8e-05 8.3e-02 5.9e-03 1.00e+00 1.722353241e+02 1.724645594e+02 5.2e-08 1.06
23 7.9e-05 7.7e-02 5.3e-03 1.00e+00 1.722533728e+02 1.724597553e+02 4.7e-08 1.09
24 7.1e-05 7.0e-02 4.8e-03 1.00e+00 1.722685707e+02 1.724543195e+02 4.2e-08 1.13
25 6.4e-05 6.4e-02 4.3e-03 1.00e+00 1.722822918e+02 1.724494666e+02 3.8e-08 1.16
26 5.8e-05 5.8e-02 3.9e-03 1.00e+00 1.722946116e+02 1.724450685e+02 3.4e-08 1.18
27 5.2e-05 5.3e-02 3.5e-03 1.00e+00 1.723056866e+02 1.724410969e+02 3.1e-08 1.22
28 4.7e-05 4.9e-02 3.1e-03 1.00e+00 1.723156391e+02 1.724375072e+02 2.8e-08 1.25
29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723245827e+02 1.724342629e+02 2.5e-08 1.28
30 3.8e-05 4.1e-02 2.5e-03 1.00e+00 1.723326199e+02 1.724313309e+02 2.2e-08 1.31
31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723398426e+02 1.724286815e+02 2.0e-08 1.34
32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723463340e+02 1.724262882e+02 1.8e-08 1.38
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723521688e+02 1.724241268e+02 1.6e-08 1.41
34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723574139e+02 1.724221756e+02 1.5e-08 1.44
35 2.2e-05 2.8e-02 1.5e-03 1.00e+00 1.723621296e+02 1.724204146e+02 1.3e-08 1.47
36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723663696e+02 1.724188257e+02 1.2e-08 1.50
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723701822e+02 1.724173924e+02 1.1e-08 1.53
38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723736107e+02 1.724160997e+02 9.6e-09 1.56
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723766941e+02 1.724149340e+02 8.6e-09 1.59
40 1.3e-05 2.0e-02 8.9e-04 1.00e+00 1.723794672e+02 1.724138830e+02 7.8e-09 1.62
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723819613e+02 1.724129355e+02 7.0e-09 1.66
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723842047e+02 1.724120814e+02 6.3e-09 1.68
43 9.6e-06 1.6e-02 6.5e-04 1.00e+00 1.723862227e+02 1.724113117e+02 5.7e-09 1.71
44 8.7e-06 1.5e-02 5.8e-04 1.00e+00 1.723880378e+02 1.724106179e+02 5.1e-09 1.74
45 7.8e-06 1.5e-02 5.2e-04 1.00e+00 1.723896707e+02 1.724099928e+02 4.6e-09 1.78
46 7.0e-06 1.4e-02 4.7e-04 1.00e+00 1.723911396e+02 1.724094295e+02 4.1e-09 1.81
47 6.3e-06 1.3e-02 4.3e-04 1.00e+00 1.723924611e+02 1.724089220e+02 3.7e-09 1.83
48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723936499e+02 1.724084648e+02 3.3e-09 1.86
49 5.1e-06 1.2e-02 3.4e-04 1.00e+00 1.723947195e+02 1.724080530e+02 3.0e-09 1.89
50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723956818e+02 1.724076820e+02 2.7e-09 1.92
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965476e+02 1.724073478e+02 2.4e-09 1.96
52 3.7e-06 1.1e-02 2.5e-04 1.00e+00 1.723973265e+02 1.724070468e+02 2.2e-09 1.98
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980274e+02 1.724067757e+02 2.0e-09 2.01
54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986581e+02 1.724065315e+02 1.8e-09 2.03
55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992255e+02 1.724063117e+02 1.6e-09 2.06
56 2.5e-06 9.7e-03 1.6e-04 1.00e+00 1.723997361e+02 1.724061137e+02 1.4e-09 2.10
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001955e+02 1.724059354e+02 1.3e-09 2.13
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724006089e+02 1.724057748e+02 1.2e-09 2.16
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009809e+02 1.724056303e+02 1.1e-09 2.19
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013157e+02 1.724055001e+02 9.5e-10 2.22
61 1.4e-06 8.8e-03 9.7e-05 1.00e+00 1.724016169e+02 1.724053829e+02 8.5e-10 2.25
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018879e+02 1.724052774e+02 7.7e-10 2.28
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021318e+02 1.724051823e+02 6.9e-10 2.31
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023513e+02 1.724050968e+02 6.2e-10 2.33
65 9.5e-07 8.4e-03 6.4e-05 1.00e+00 1.724025488e+02 1.724050197e+02 5.6e-10 2.36
66 8.5e-07 8.3e-03 5.7e-05 1.00e+00 1.724027265e+02 1.724049504e+02 5.0e-10 2.39
67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028864e+02 1.724048879e+02 4.5e-10 2.42
68 6.9e-07 8.1e-03 4.7e-05 1.00e+00 1.724030303e+02 1.724048317e+02 4.1e-10 2.46
69 6.2e-07 8.1e-03 4.2e-05 1.00e+00 1.724031599e+02 1.724047811e+02 3.7e-10 2.49
70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032764e+02 1.724047355e+02 3.3e-10 2.52
71 5.0e-07 7.9e-03 3.4e-05 1.00e+00 1.724033813e+02 1.724046945e+02 3.0e-10 2.55
72 4.5e-07 7.9e-03 3.1e-05 1.00e+00 1.724034756e+02 1.724046575e+02 2.7e-10 2.59
73 4.1e-07 7.8e-03 2.7e-05 1.00e+00 1.724035606e+02 1.724046243e+02 2.4e-10 2.62
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036370e+02 1.724045943e+02 2.2e-10 2.65
75 3.3e-07 7.7e-03 2.2e-05 1.00e+00 1.724037057e+02 1.724045674e+02 1.9e-10 2.68
76 3.0e-07 7.7e-03 2.0e-05 9.99e-01 1.724037676e+02 1.724045431e+02 1.8e-10 2.71
77 2.7e-07 7.7e-03 1.8e-05 9.99e-01 1.724038233e+02 1.724045213e+02 1.6e-10 2.75
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038734e+02 1.724045016e+02 1.4e-10 2.78
79 2.2e-07 7.6e-03 1.5e-05 9.99e-01 1.724039185e+02 1.724044839e+02 1.3e-10 2.81
80 2.0e-07 7.6e-03 1.3e-05 9.99e-01 1.724039591e+02 1.724044680e+02 1.2e-10 2.85
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039956e+02 1.724044536e+02 1.0e-10 2.88
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040285e+02 1.724044407e+02 9.3e-11 2.91
83 1.4e-07 7.5e-03 9.6e-06 9.98e-01 1.724040581e+02 1.724044291e+02 8.4e-11 2.95
84 1.3e-07 7.5e-03 8.6e-06 9.99e-01 1.724040847e+02 1.724044186e+02 7.5e-11 2.98
85 1.2e-07 7.4e-03 7.8e-06 9.99e-01 1.724041086e+02 1.724044092e+02 6.8e-11 3.02
86 1.0e-07 7.4e-03 7.0e-06 1.00e+00 1.724041302e+02 1.724044007e+02 6.1e-11 3.05
87 9.4e-08 7.4e-03 6.3e-06 9.97e-01 1.724041496e+02 1.724043930e+02 5.5e-11 3.08
88 8.4e-08 7.4e-03 5.7e-06 1.00e+00 1.724041670e+02 1.724043861e+02 5.0e-11 3.12
89 7.6e-08 7.4e-03 5.1e-06 9.99e-01 1.724041827e+02 1.724043799e+02 4.5e-11 3.15
90 6.8e-08 7.4e-03 4.6e-06 1.00e+00 1.724041969e+02 1.724043744e+02 4.0e-11 3.19
91 6.1e-08 7.3e-03 4.1e-06 9.97e-01 1.724042096e+02 1.724043693e+02 3.6e-11 3.22
92 5.5e-08 7.3e-03 3.7e-06 9.99e-01 1.724042210e+02 1.724043648e+02 3.2e-11 3.25
93 5.0e-08 6.6e-03 3.3e-06 1.00e+00 1.724042314e+02 1.724043607e+02 2.9e-11 3.28
94 4.5e-08 5.9e-03 3.0e-06 9.98e-01 1.724042407e+02 1.724043571e+02 2.6e-11 3.32
95 4.0e-08 5.3e-03 2.7e-06 1.00e+00 1.724042490e+02 1.724043538e+02 2.4e-11 3.35
96 3.6e-08 4.8e-03 2.4e-06 1.00e+00 1.724042565e+02 1.724043508e+02 2.1e-11 3.38
97 3.3e-08 4.3e-03 2.2e-06 1.00e+00 1.724042633e+02 1.724043481e+02 1.9e-11 3.42
98 2.9e-08 3.9e-03 2.0e-06 1.00e+00 1.724042693e+02 1.724043457e+02 1.7e-11 3.45
99 2.6e-08 3.5e-03 1.8e-06 9.98e-01 1.724042748e+02 1.724043436e+02 1.6e-11 3.48
100 2.4e-08 3.2e-03 1.6e-06 1.00e+00 1.724042797e+02 1.724043416e+02 1.4e-11 3.51
101 2.1e-08 2.8e-03 1.4e-06 1.00e+00 1.724042842e+02 1.724043398e+02 1.3e-11 3.54
102 1.9e-08 2.6e-03 1.3e-06 1.00e+00 1.724042882e+02 1.724043383e+02 1.1e-11 3.57
103 1.7e-08 2.3e-03 1.2e-06 9.85e-01 1.724042917e+02 1.724043369e+02 1.0e-11 3.60
104 1.6e-08 2.1e-03 1.0e-06 1.00e+00 1.724042950e+02 1.724043356e+02 9.2e-12 3.63
105 4.0e-09 5.1e-04 2.6e-07 1.00e+00 1.724043168e+02 1.724043269e+02 2.3e-12 3.66
106 3.6e-09 4.6e-04 2.4e-07 1.07e+00 1.724043177e+02 1.724043265e+02 2.1e-12 3.69
107 1.2e-09 1.1e-04 5.4e-08 1.02e+00 1.724043226e+02 1.724043245e+02 4.7e-13 3.72
Interior-point optimizer terminated. Time: 3.73.
Optimizer terminated. Time: 3.75
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432256e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.7240432452e+02 Viol. con: 0e+00 var: 7e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.77 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 : Linux/64-X86
Cores : 20
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 : 20
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 : 0.06 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.289209278e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.267404393e+05 3.637047288e+00 4.8e-01 0.13
2 4.4e+02 5.7e+02 2.4e+04 -9.36e-01 -1.207993259e+05 1.004622009e+01 1.9e-01 0.16
3 2.9e+02 3.8e+02 1.6e+04 -8.43e-01 -1.160618628e+05 5.990662257e+01 1.3e-01 0.19
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.136045222e+05 2.136092802e+03 1.3e-01 0.22
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.752619016e+04 9.316590640e+03 3.5e-02 0.26
6 4.0e+01 5.2e+01 2.2e+03 -2.34e-01 -5.076741298e+04 1.003179862e+04 1.8e-02 0.29
7 3.0e+01 3.9e+01 1.7e+03 2.19e-01 -4.171035519e+04 8.294890978e+03 1.3e-02 0.33
8 1.9e+01 2.4e+01 1.0e+03 3.81e-01 -2.865142644e+04 5.387065738e+03 8.1e-03 0.37
9 7.9e+00 1.0e+01 4.4e+02 6.03e-01 -1.310597434e+04 3.143050134e+03 3.5e-03 0.40
10 4.0e+00 5.2e+00 2.2e+02 8.46e-01 -6.378101032e+03 2.128677737e+03 1.8e-03 0.43
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.514554186e+03 1.314876281e+03 9.9e-04 0.47
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.333952486e+03 6.456465921e+02 4.0e-04 0.50
13 8.2e-01 1.1e+00 4.6e+01 9.70e-01 -1.223648525e+03 5.999354166e+02 3.7e-04 0.53
14 5.9e-01 7.8e-01 3.3e+01 9.74e-01 -8.149792786e+02 4.893553529e+02 2.6e-04 0.56
15 2.2e-01 7.6e-01 1.2e+01 9.90e-01 -1.999799453e+02 2.844531784e+02 9.8e-05 0.59
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.241189542e+01 2.161153928e+02 4.9e-05 0.62
17 7.7e-02 2.8e-01 4.5e+00 1.01e+00 2.681063296e+01 2.015603782e+02 3.6e-05 0.65
18 5.1e-02 2.0e-01 3.0e+00 1.02e+00 7.892018726e+01 1.950358435e+02 2.4e-05 0.69
19 1.4e-02 1.1e-01 8.5e-01 1.00e+00 1.414700574e+02 1.745814929e+02 6.9e-06 0.72
20 4.0e-03 2.2e-01 2.4e-01 1.02e+00 1.602704687e+02 1.696481143e+02 1.9e-06 0.75
21 2.7e-03 2.1e-01 1.6e-01 1.01e+00 1.624284207e+02 1.687369688e+02 1.3e-06 0.78
22 1.9e-03 1.5e-01 1.2e-01 1.00e+00 1.637170105e+02 1.683012307e+02 9.5e-07 0.82
23 7.5e-04 9.5e-02 4.7e-02 1.01e+00 1.658030324e+02 1.676006364e+02 3.8e-07 0.85
24 3.6e-04 7.9e-02 2.3e-02 1.01e+00 1.664694550e+02 1.673480751e+02 1.9e-07 0.88
25 3.3e-04 7.2e-02 2.1e-02 1.01e+00 1.665375719e+02 1.673287237e+02 1.7e-07 0.92
26 3.0e-04 6.6e-02 1.9e-02 1.01e+00 1.665946639e+02 1.673064413e+02 1.5e-07 0.96
27 2.7e-04 6.0e-02 1.7e-02 1.01e+00 1.666462508e+02 1.672866436e+02 1.4e-07 0.99
28 2.4e-04 5.5e-02 1.5e-02 1.01e+00 1.666924437e+02 1.672686268e+02 1.2e-07 1.03
29 2.2e-04 5.0e-02 1.4e-02 1.01e+00 1.667338914e+02 1.672523168e+02 1.1e-07 1.06
30 1.9e-04 4.6e-02 1.2e-02 1.01e+00 1.667710536e+02 1.672375223e+02 9.9e-08 1.10
31 1.7e-04 4.2e-02 1.1e-02 1.01e+00 1.668043746e+02 1.672241032e+02 8.9e-08 1.13
32 1.6e-04 3.8e-02 9.9e-03 1.01e+00 1.668342497e+02 1.672119295e+02 8.0e-08 1.16
33 1.4e-04 3.5e-02 8.9e-03 1.01e+00 1.668610355e+02 1.672008855e+02 7.2e-08 1.20
34 1.3e-04 3.3e-02 8.0e-03 1.01e+00 1.668850525e+02 1.671908673e+02 6.5e-08 1.23
35 1.1e-04 3.0e-02 7.2e-03 1.00e+00 1.669065891e+02 1.671817820e+02 5.8e-08 1.26
36 1.0e-04 2.8e-02 6.5e-03 1.00e+00 1.669259042e+02 1.671735452e+02 5.3e-08 1.30
37 9.3e-05 2.6e-02 5.8e-03 1.00e+00 1.669432301e+02 1.671660809e+02 4.7e-08 1.33
38 8.3e-05 2.4e-02 5.3e-03 1.00e+00 1.669587745e+02 1.671593194e+02 4.3e-08 1.36
39 7.5e-05 2.2e-02 4.7e-03 1.00e+00 1.669727227e+02 1.671531966e+02 3.8e-08 1.40
40 6.8e-05 2.1e-02 4.3e-03 1.00e+00 1.669852409e+02 1.671476542e+02 3.5e-08 1.43
41 6.1e-05 2.0e-02 3.8e-03 1.00e+00 1.669964772e+02 1.671426388e+02 3.1e-08 1.46
42 5.5e-05 1.8e-02 3.4e-03 1.00e+00 1.670065642e+02 1.671381016e+02 2.8e-08 1.50
43 4.9e-05 1.7e-02 3.1e-03 1.00e+00 1.670156208e+02 1.671339982e+02 2.5e-08 1.53
44 4.4e-05 1.6e-02 2.8e-03 1.00e+00 1.670237531e+02 1.671302879e+02 2.3e-08 1.57
45 4.0e-05 1.6e-02 2.5e-03 1.00e+00 1.670310564e+02 1.671269340e+02 2.0e-08 1.60
46 3.6e-05 1.5e-02 2.3e-03 1.00e+00 1.670376159e+02 1.671239031e+02 1.8e-08 1.63
47 3.2e-05 1.4e-02 2.0e-03 1.00e+00 1.670435080e+02 1.671211644e+02 1.7e-08 1.67
48 2.9e-05 1.4e-02 1.8e-03 1.00e+00 1.670488011e+02 1.671186904e+02 1.5e-08 1.70
49 2.6e-05 1.3e-02 1.7e-03 1.00e+00 1.670535567e+02 1.671164560e+02 1.3e-08 1.74
50 2.4e-05 1.3e-02 1.5e-03 1.00e+00 1.670578297e+02 1.671144382e+02 1.2e-08 1.77
51 2.1e-05 1.2e-02 1.3e-03 1.00e+00 1.670616695e+02 1.671126167e+02 1.1e-08 1.81
52 1.9e-05 1.2e-02 1.2e-03 1.00e+00 1.670651202e+02 1.671109724e+02 9.8e-09 1.84
53 1.7e-05 1.1e-02 1.1e-03 1.00e+00 1.670682216e+02 1.671094884e+02 8.8e-09 1.87
54 1.5e-05 1.1e-02 9.7e-04 1.00e+00 1.670710093e+02 1.671081493e+02 7.9e-09 1.91
55 1.4e-05 1.1e-02 8.8e-04 1.00e+00 1.670735151e+02 1.671069410e+02 7.1e-09 1.94
56 1.3e-05 1.0e-02 7.9e-04 1.00e+00 1.670757678e+02 1.671058511e+02 6.4e-09 1.98
57 1.1e-05 1.0e-02 7.1e-04 1.00e+00 1.670777930e+02 1.671048680e+02 5.8e-09 2.01
58 1.0e-05 1.0e-02 6.4e-04 1.00e+00 1.670796140e+02 1.671039815e+02 5.2e-09 2.04
59 9.1e-06 9.8e-03 5.8e-04 1.00e+00 1.670812513e+02 1.671031821e+02 4.7e-09 2.08
60 8.2e-06 9.6e-03 5.2e-04 1.00e+00 1.670827236e+02 1.671024615e+02 4.2e-09 2.11
61 7.4e-06 9.5e-03 4.7e-04 1.00e+00 1.670840476e+02 1.671018118e+02 3.8e-09 2.15
62 6.6e-06 9.3e-03 4.2e-04 1.00e+00 1.670852384e+02 1.671012262e+02 3.4e-09 2.18
63 6.0e-06 9.2e-03 3.8e-04 1.00e+00 1.670863094e+02 1.671006984e+02 3.1e-09 2.21
64 5.4e-06 9.1e-03 3.4e-04 1.00e+00 1.670872726e+02 1.671002229e+02 2.8e-09 2.24
65 2.0e-06 3.4e-03 1.3e-04 1.00e+00 1.670926188e+02 1.670975534e+02 1.1e-09 2.28
66 6.9e-07 1.2e-03 4.4e-05 1.00e+00 1.670947949e+02 1.670964653e+02 3.6e-10 2.31
67 6.2e-07 1.0e-03 3.9e-05 1.00e+00 1.670949092e+02 1.670964125e+02 3.2e-10 2.34
68 5.6e-07 9.4e-04 3.6e-05 1.00e+00 1.670950087e+02 1.670963616e+02 2.9e-10 2.38
69 5.0e-07 8.5e-04 3.2e-05 9.99e-01 1.670950985e+02 1.670963162e+02 2.6e-10 2.41
70 4.5e-07 7.6e-04 2.9e-05 1.00e+00 1.670951792e+02 1.670962751e+02 2.3e-10 2.45
71 4.1e-07 6.9e-04 2.6e-05 1.00e+00 1.670952519e+02 1.670962382e+02 2.1e-10 2.49
72 3.7e-07 6.2e-04 2.3e-05 1.00e+00 1.670953172e+02 1.670962048e+02 1.9e-10 2.53
73 3.3e-07 5.6e-04 2.1e-05 9.99e-01 1.670953759e+02 1.670961748e+02 1.7e-10 2.56
74 3.0e-07 5.0e-04 1.9e-05 1.00e+00 1.670954288e+02 1.670961478e+02 1.5e-10 2.60
75 2.7e-07 4.5e-04 1.7e-05 1.00e+00 1.670954764e+02 1.670961234e+02 1.4e-10 2.63
76 2.4e-07 4.1e-04 1.5e-05 1.00e+00 1.670955192e+02 1.670961015e+02 1.2e-10 2.67
77 2.2e-07 3.7e-04 1.4e-05 1.00e+00 1.670955577e+02 1.670960817e+02 1.1e-10 2.70
78 2.0e-07 3.3e-04 1.2e-05 1.00e+00 1.670955923e+02 1.670960640e+02 1.0e-10 2.74
79 1.8e-07 3.0e-04 1.1e-05 9.96e-01 1.670956234e+02 1.670960480e+02 9.1e-11 2.77
80 1.6e-07 2.7e-04 1.0e-05 1.00e+00 1.670956515e+02 1.670960335e+02 8.2e-11 2.80
81 1.4e-07 2.4e-04 9.0e-06 9.99e-01 1.670956768e+02 1.670960206e+02 7.3e-11 2.83
82 1.3e-07 2.2e-04 8.1e-06 1.01e+00 1.670957001e+02 1.670960085e+02 6.6e-11 2.87
83 1.2e-07 1.9e-04 7.3e-06 9.98e-01 1.670957205e+02 1.670959980e+02 6.0e-11 2.90
84 1.0e-07 1.7e-04 6.6e-06 9.99e-01 1.670957388e+02 1.670959886e+02 5.4e-11 2.94
85 9.3e-08 1.6e-04 5.9e-06 9.93e-01 1.670957553e+02 1.670959802e+02 4.8e-11 2.98
86 8.4e-08 1.4e-04 5.3e-06 1.01e+00 1.670957704e+02 1.670959723e+02 4.4e-11 3.01
87 7.6e-08 1.3e-04 4.8e-06 9.99e-01 1.670957838e+02 1.670959655e+02 3.9e-11 3.04
88 6.8e-08 1.1e-04 4.3e-06 9.94e-01 1.670957957e+02 1.670959593e+02 3.5e-11 3.07
89 6.1e-08 1.0e-04 3.9e-06 9.92e-01 1.670958065e+02 1.670959538e+02 3.2e-11 3.10
90 5.5e-08 9.3e-05 3.5e-06 9.95e-01 1.670958162e+02 1.670959488e+02 2.9e-11 3.13
91 5.0e-08 8.4e-05 3.1e-06 9.96e-01 1.670958250e+02 1.670959443e+02 2.6e-11 3.16
92 4.5e-08 7.5e-05 2.8e-06 1.00e+00 1.670958330e+02 1.670959402e+02 2.3e-11 3.20
93 4.0e-08 6.8e-05 2.6e-06 9.96e-01 1.670958400e+02 1.670959366e+02 2.1e-11 3.23
94 3.6e-08 6.1e-05 2.3e-06 9.86e-01 1.670958464e+02 1.670959333e+02 1.9e-11 3.26
95 3.3e-08 5.5e-05 2.1e-06 1.01e+00 1.670958523e+02 1.670959302e+02 1.7e-11 3.29
96 2.9e-08 4.9e-05 1.9e-06 1.01e+00 1.670958576e+02 1.670959275e+02 1.5e-11 3.32
97 2.6e-08 4.4e-05 1.7e-06 9.66e-01 1.670958622e+02 1.670959252e+02 1.4e-11 3.35
98 2.4e-08 4.0e-05 1.5e-06 1.01e+00 1.670958665e+02 1.670959230e+02 1.2e-11 3.38
99 2.1e-08 3.6e-05 1.4e-06 9.76e-01 1.670958702e+02 1.670959211e+02 1.1e-11 3.41
100 1.9e-08 3.2e-05 1.2e-06 1.01e+00 1.670958736e+02 1.670959193e+02 1.0e-11 3.44
101 1.7e-08 2.9e-05 1.1e-06 1.01e+00 1.670958767e+02 1.670959177e+02 9.1e-12 3.47
Interior-point optimizer terminated. Time: 3.48.
Optimizer terminated. Time: 3.51
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587669e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6709591768e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.53 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 : Linux/64-X86
Cores : 20
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 : 20
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 : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286499306e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264834075e+05 3.586695745e+00 4.8e-01 0.34
2 4.3e+02 5.6e+02 2.4e+04 -9.36e-01 -1.204818464e+05 1.001252433e+01 1.9e-01 0.37
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.157492302e+05 6.085640725e+01 1.3e-01 0.40
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131499827e+05 2.257751295e+03 1.3e-01 0.43
5 7.4e+01 9.6e+01 4.1e+03 -7.55e-01 -7.449028559e+04 9.842628067e+03 3.3e-02 0.47
6 3.6e+01 4.7e+01 2.0e+03 -1.90e-01 -4.726346547e+04 1.026281991e+04 1.6e-02 0.50
7 2.2e+01 2.9e+01 1.3e+03 2.77e-01 -3.297744869e+04 7.148481449e+03 9.9e-03 0.53
8 1.4e+01 1.7e+01 7.5e+02 5.32e-01 -2.145919236e+04 4.808166005e+03 6.0e-03 0.58
9 5.3e+00 6.9e+00 3.0e+02 7.21e-01 -8.768115166e+03 2.417303410e+03 2.4e-03 0.61
10 2.4e+00 3.1e+00 1.3e+02 9.13e-01 -3.743311978e+03 1.405443659e+03 1.1e-03 0.64
11 1.7e+00 2.3e+00 9.8e+01 9.75e-01 -2.706800067e+03 1.075299379e+03 7.8e-04 0.67
12 8.2e-01 1.1e+00 4.6e+01 9.83e-01 -1.189755640e+03 5.993122906e+02 3.7e-04 0.70
13 7.5e-01 1.1e+00 4.2e+01 9.48e-01 -1.109364443e+03 5.596604182e+02 3.4e-04 0.73
14 6.3e-01 8.8e-01 3.5e+01 9.86e-01 -8.799113287e+02 5.072302844e+02 2.8e-04 0.76
15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.584752376e+02 2.542002418e+02 8.4e-05 0.79
16 1.0e-01 1.7e-01 5.9e+00 1.01e+00 -1.976706013e+01 2.098853127e+02 4.7e-05 0.82
17 1.0e-01 1.7e-01 5.8e+00 1.02e+00 -1.809003062e+01 2.102290967e+02 4.7e-05 0.85
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.591145057e+01 2.106371345e+02 4.0e-05 0.88
19 4.3e-02 9.6e-02 2.5e+00 1.01e+00 9.060623752e+01 1.877233718e+02 2.0e-05 0.91
20 1.2e-02 1.9e-01 6.8e-01 1.01e+00 1.471513360e+02 1.733932448e+02 5.5e-06 0.95
21 4.3e-03 3.6e-01 2.6e-01 1.01e+00 1.590194612e+02 1.689649838e+02 2.1e-06 0.97
22 1.2e-03 1.7e-01 7.5e-02 1.01e+00 1.645643614e+02 1.674297590e+02 6.1e-07 1.00
23 6.7e-04 1.2e-01 4.2e-02 9.81e-01 1.654782974e+02 1.670871321e+02 3.5e-07 1.02
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662934647e+02 1.667797959e+02 1.1e-07 1.04
25 6.2e-05 1.1e-01 4.1e-03 1.01e+00 1.665281120e+02 1.666838728e+02 3.5e-08 1.07
26 2.0e-05 1.1e-01 1.4e-03 1.01e+00 1.666013581e+02 1.666531168e+02 1.2e-08 1.10
27 6.5e-06 1.1e-01 4.4e-04 1.00e+00 1.666261957e+02 1.666427277e+02 3.8e-09 1.13
28 2.2e-06 1.0e-01 1.5e-04 1.00e+00 1.666337616e+02 1.666395173e+02 1.3e-09 1.16
29 7.7e-07 9.7e-02 5.3e-05 1.00e+00 1.666363783e+02 1.666383684e+02 4.5e-10 1.19
30 3.4e-07 8.2e-02 2.3e-05 1.00e+00 1.666371512e+02 1.666380162e+02 2.0e-10 1.22
31 7.3e-08 1.8e-02 5.0e-06 1.00e+00 1.666376161e+02 1.666378045e+02 4.3e-11 1.25
32 6.6e-08 1.6e-02 4.5e-06 9.94e-01 1.666376302e+02 1.666377996e+02 3.9e-11 1.27
33 5.9e-08 1.6e-02 4.1e-06 1.00e+00 1.666376417e+02 1.666377942e+02 3.5e-11 1.30
34 5.3e-08 1.5e-02 3.7e-06 9.96e-01 1.666376521e+02 1.666377894e+02 3.1e-11 1.33
35 4.8e-08 1.4e-02 3.3e-06 1.00e+00 1.666376615e+02 1.666377850e+02 2.8e-11 1.36
36 4.3e-08 1.3e-02 3.0e-06 9.82e-01 1.666376699e+02 1.666377812e+02 2.5e-11 1.39
37 3.9e-08 1.3e-02 2.7e-06 1.00e+00 1.666376775e+02 1.666377776e+02 2.3e-11 1.42
38 3.5e-08 1.2e-02 2.4e-06 1.01e+00 1.666376846e+02 1.666377743e+02 2.1e-11 1.45
39 3.1e-08 1.2e-02 2.2e-06 1.02e+00 1.666376913e+02 1.666377711e+02 1.9e-11 1.48
40 2.8e-08 1.2e-02 1.9e-06 9.84e-01 1.666376967e+02 1.666377686e+02 1.7e-11 1.51
41 2.6e-08 1.1e-02 1.8e-06 1.00e+00 1.666377016e+02 1.666377663e+02 1.5e-11 1.54
42 2.3e-08 1.1e-02 1.6e-06 9.94e-01 1.666377060e+02 1.666377643e+02 1.4e-11 1.57
43 2.1e-08 1.1e-02 1.4e-06 1.01e+00 1.666377101e+02 1.666377624e+02 1.2e-11 1.60
44 1.9e-08 1.0e-02 1.3e-06 1.00e+00 1.666377137e+02 1.666377607e+02 1.1e-11 1.64
45 1.7e-08 1.0e-02 1.1e-06 1.01e+00 1.666377170e+02 1.666377592e+02 1.0e-11 1.68
46 1.5e-08 9.7e-03 1.0e-06 9.82e-01 1.666377198e+02 1.666377578e+02 9.0e-12 1.71
47 1.4e-08 8.7e-03 9.3e-07 1.04e+00 1.666377229e+02 1.666377563e+02 8.3e-12 1.74
48 1.2e-08 7.9e-03 8.4e-07 1.04e+00 1.666377256e+02 1.666377550e+02 7.6e-12 1.77
49 1.1e-08 7.1e-03 7.5e-07 1.08e+00 1.666377284e+02 1.666377537e+02 7.1e-12 1.80
50 1.0e-08 6.4e-03 6.8e-07 1.03e+00 1.666377304e+02 1.666377527e+02 6.5e-12 1.83
51 9.0e-09 5.7e-03 6.1e-07 1.02e+00 1.666377321e+02 1.666377520e+02 5.9e-12 1.86
52 8.1e-09 5.2e-03 5.5e-07 1.02e+00 1.666377336e+02 1.666377513e+02 5.4e-12 1.89
53 7.4e-09 4.6e-03 4.9e-07 1.03e+00 1.666377349e+02 1.666377506e+02 4.9e-12 1.91
54 6.6e-09 4.2e-03 4.5e-07 9.13e-01 1.666377360e+02 1.666377502e+02 4.4e-12 1.93
55 6.0e-09 3.8e-03 4.0e-07 1.06e+00 1.666377372e+02 1.666377496e+02 4.1e-12 1.96
56 5.5e-09 3.4e-03 3.6e-07 1.02e+00 1.666377381e+02 1.666377492e+02 3.7e-12 1.98
57 4.3e-09 1.9e-04 2.0e-08 9.68e-01 1.666377454e+02 1.666377460e+02 2.7e-13 2.01
Interior-point optimizer terminated. Time: 2.01.
Optimizer terminated. Time: 2.03
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774539e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6663774603e+02 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.05 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 : Linux/64-X86
Cores : 20
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 : 20
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+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286106747e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264422993e+05 3.580364349e+00 4.8e-01 0.10
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.203332196e+05 1.010637082e+01 1.9e-01 0.13
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.156664719e+05 6.247815534e+01 1.3e-01 0.16
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.130152817e+05 2.295884353e+03 1.3e-01 0.19
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.379609194e+04 9.860973530e+03 3.2e-02 0.22
6 3.6e+01 4.6e+01 2.0e+03 -1.80e-01 -4.641916246e+04 1.009611390e+04 1.6e-02 0.26
7 2.1e+01 2.7e+01 1.2e+03 2.91e-01 -3.097464722e+04 6.886204198e+03 9.2e-03 0.29
8 1.2e+01 1.6e+01 6.8e+02 5.65e-01 -1.945484931e+04 4.491370514e+03 5.4e-03 0.32
9 4.7e+00 6.1e+00 2.6e+02 7.53e-01 -7.765147196e+03 2.180675917e+03 2.1e-03 0.35
10 2.3e+00 3.0e+00 1.3e+02 9.26e-01 -3.530369303e+03 1.395528777e+03 1.0e-03 0.39
11 1.5e+00 1.9e+00 8.5e+01 9.77e-01 -2.301316043e+03 9.721195464e+02 6.7e-04 0.42
12 8.5e-01 1.1e+00 4.8e+01 9.85e-01 -1.230529887e+03 6.224921247e+02 3.8e-04 0.45
13 7.5e-01 1.0e+00 4.2e+01 9.54e-01 -1.093830345e+03 5.630527138e+02 3.4e-04 0.49
14 3.7e-01 5.0e-01 2.1e+01 9.85e-01 -4.359008600e+02 3.737951940e+02 1.6e-04 0.52
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.440000508e+02 2.585349915e+02 8.2e-05 0.55
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 4.980029491e+00 2.043015505e+02 4.1e-05 0.58
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.398834036e+01 2.065699611e+02 4.0e-05 0.61
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 5.949232205e+01 1.948373502e+02 2.8e-05 0.65
19 3.0e-02 7.3e-02 1.7e+00 1.01e+00 1.152798591e+02 1.809927633e+02 1.4e-05 0.68
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.525612608e+02 1.716191929e+02 4.0e-06 0.71
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622331024e+02 1.679611336e+02 1.2e-06 0.74
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639702712e+02 1.674409687e+02 7.3e-07 0.77
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656550206e+02 1.668671089e+02 2.6e-07 0.81
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661959821e+02 1.666660321e+02 1.0e-07 0.84
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662326106e+02 1.666555340e+02 9.2e-08 0.87
26 1.6e-04 7.9e-02 1.0e-02 1.01e+00 1.662628652e+02 1.666433543e+02 8.3e-08 0.91
27 1.4e-04 7.2e-02 9.0e-03 1.01e+00 1.662902758e+02 1.666326032e+02 7.5e-08 0.94
28 1.3e-04 6.6e-02 8.1e-03 1.01e+00 1.663148193e+02 1.666228205e+02 6.7e-08 0.97
29 1.2e-04 6.0e-02 7.3e-03 1.01e+00 1.663368457e+02 1.666139695e+02 6.0e-08 1.01
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663566072e+02 1.666059552e+02 5.4e-08 1.04
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663743385e+02 1.665986999e+02 4.9e-08 1.08
32 8.5e-05 4.6e-02 5.3e-03 1.01e+00 1.663902491e+02 1.665921319e+02 4.4e-08 1.11
33 7.6e-05 4.2e-02 4.8e-03 1.01e+00 1.664045270e+02 1.665861871e+02 4.0e-08 1.14
34 6.9e-05 3.8e-02 4.3e-03 1.01e+00 1.664173409e+02 1.665808070e+02 3.6e-08 1.17
35 6.2e-05 3.5e-02 3.9e-03 1.01e+00 1.664288421e+02 1.665759391e+02 3.2e-08 1.21
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664391664e+02 1.665715355e+02 2.9e-08 1.25
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664484351e+02 1.665675527e+02 2.6e-08 1.28
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664567571e+02 1.665639512e+02 2.3e-08 1.31
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664642300e+02 1.665606953e+02 2.1e-08 1.35
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664709410e+02 1.665577524e+02 1.9e-08 1.39
41 3.3e-05 2.2e-02 2.1e-03 1.00e+00 1.664769685e+02 1.665550928e+02 1.7e-08 1.42
42 2.9e-05 2.1e-02 1.9e-03 1.00e+00 1.664823826e+02 1.665526898e+02 1.5e-08 1.46
43 2.7e-05 2.0e-02 1.7e-03 1.00e+00 1.664872462e+02 1.665505191e+02 1.4e-08 1.49
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664916158e+02 1.665485585e+02 1.2e-08 1.52
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664955420e+02 1.665467882e+02 1.1e-08 1.56
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664990700e+02 1.665451898e+02 1.0e-08 1.59
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665022406e+02 1.665437472e+02 9.1e-09 1.62
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665050904e+02 1.665424452e+02 8.2e-09 1.65
49 1.4e-05 1.4e-02 8.9e-04 1.00e+00 1.665076520e+02 1.665412706e+02 7.4e-09 1.68
50 1.3e-05 1.3e-02 8.0e-04 1.00e+00 1.665099549e+02 1.665402111e+02 6.6e-09 1.70
51 1.1e-05 1.3e-02 7.2e-04 1.00e+00 1.665120254e+02 1.665392556e+02 6.0e-09 1.74
52 1.0e-05 1.2e-02 6.5e-04 1.00e+00 1.665138872e+02 1.665383941e+02 5.4e-09 1.77
53 9.3e-06 1.2e-02 5.8e-04 1.00e+00 1.665155614e+02 1.665376174e+02 4.8e-09 1.80
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665170671e+02 1.665369173e+02 4.4e-09 1.84
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665184213e+02 1.665362865e+02 3.9e-09 1.87
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665196393e+02 1.665357180e+02 3.5e-09 1.90
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665207350e+02 1.665352058e+02 3.2e-09 1.93
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217205e+02 1.665347443e+02 2.9e-09 1.96
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226071e+02 1.665343285e+02 2.6e-09 1.99
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234045e+02 1.665339538e+02 2.3e-09 2.02
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241218e+02 1.665336162e+02 2.1e-09 2.05
62 3.6e-06 9.5e-03 2.3e-04 1.00e+00 1.665247671e+02 1.665333121e+02 1.9e-09 2.09
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253474e+02 1.665330380e+02 1.7e-09 2.12
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665258693e+02 1.665327909e+02 1.5e-09 2.15
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263388e+02 1.665325683e+02 1.4e-09 2.17
66 2.4e-06 9.0e-03 1.5e-04 1.00e+00 1.665267612e+02 1.665323677e+02 1.2e-09 2.20
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271411e+02 1.665321869e+02 1.1e-09 2.23
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665274828e+02 1.665320242e+02 1.0e-09 2.25
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665277903e+02 1.665318775e+02 9.0e-10 2.29
70 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.665280669e+02 1.665317454e+02 8.1e-10 2.32
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283157e+02 1.665316264e+02 7.3e-10 2.35
72 1.3e-06 8.5e-03 7.9e-05 1.00e+00 1.665285395e+02 1.665315192e+02 6.5e-10 2.38
73 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.665287409e+02 1.665314226e+02 5.9e-10 2.41
74 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.665289220e+02 1.665313356e+02 5.3e-10 2.44
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290850e+02 1.665312572e+02 4.8e-10 2.47
76 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.665292315e+02 1.665311866e+02 4.3e-10 2.50
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293634e+02 1.665311229e+02 3.9e-10 2.54
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294819e+02 1.665310655e+02 3.5e-10 2.57
79 6.0e-07 8.2e-03 3.8e-05 9.99e-01 1.665295886e+02 1.665310138e+02 3.1e-10 2.60
80 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.665296845e+02 1.665309672e+02 2.8e-10 2.63
81 4.8e-07 8.1e-03 3.0e-05 9.99e-01 1.665297707e+02 1.665309252e+02 2.5e-10 2.66
82 4.4e-07 8.1e-03 2.7e-05 1.00e+00 1.665298482e+02 1.665308873e+02 2.3e-10 2.69
83 3.9e-07 8.1e-03 2.5e-05 9.99e-01 1.665299180e+02 1.665308532e+02 2.1e-10 2.72
84 3.5e-07 8.0e-03 2.2e-05 9.99e-01 1.665299807e+02 1.665308224e+02 1.8e-10 2.76
85 3.2e-07 8.0e-03 2.0e-05 9.99e-01 1.665300371e+02 1.665307947e+02 1.7e-10 2.79
86 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.665300878e+02 1.665307696e+02 1.5e-10 2.82
87 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.665301334e+02 1.665307470e+02 1.3e-10 2.85
88 2.3e-07 8.0e-03 1.5e-05 1.00e+00 1.665301745e+02 1.665307267e+02 1.2e-10 2.88
89 2.1e-07 7.9e-03 1.3e-05 9.99e-01 1.665302114e+02 1.665307084e+02 1.1e-10 2.91
90 1.9e-07 7.9e-03 1.2e-05 9.98e-01 1.665302446e+02 1.665306920e+02 9.8e-11 2.94
91 1.7e-07 7.9e-03 1.1e-05 9.93e-01 1.665302745e+02 1.665306772e+02 8.8e-11 2.97
92 1.5e-07 7.8e-03 9.6e-06 9.96e-01 1.665303013e+02 1.665306639e+02 8.0e-11 3.01
93 1.4e-07 7.8e-03 8.6e-06 1.00e+00 1.665303255e+02 1.665306518e+02 7.2e-11 3.04
94 1.2e-07 7.8e-03 7.7e-06 9.93e-01 1.665303473e+02 1.665306410e+02 6.4e-11 3.07
95 1.1e-07 7.8e-03 7.0e-06 9.87e-01 1.665303668e+02 1.665306314e+02 5.8e-11 3.10
96 1.0e-07 7.7e-03 6.3e-06 9.94e-01 1.665303844e+02 1.665306226e+02 5.2e-11 3.13
97 9.0e-08 7.0e-03 5.6e-06 1.00e+00 1.665304004e+02 1.665306146e+02 4.7e-11 3.16
98 8.1e-08 6.3e-03 5.1e-06 1.00e+00 1.665304147e+02 1.665306074e+02 4.2e-11 3.19
99 7.3e-08 5.6e-03 4.6e-06 9.96e-01 1.665304275e+02 1.665306010e+02 3.8e-11 3.22
100 6.5e-08 5.1e-03 4.1e-06 9.94e-01 1.665304391e+02 1.665305952e+02 3.4e-11 3.26
101 5.9e-08 4.6e-03 3.7e-06 9.87e-01 1.665304495e+02 1.665305901e+02 3.1e-11 3.29
102 5.3e-08 4.1e-03 3.3e-06 9.93e-01 1.665304588e+02 1.665305854e+02 2.8e-11 3.32
103 4.8e-08 3.7e-03 3.0e-06 1.02e+00 1.665304678e+02 1.665305808e+02 2.5e-11 3.35
104 4.3e-08 3.3e-03 2.7e-06 1.02e+00 1.665304758e+02 1.665305767e+02 2.3e-11 3.38
105 3.9e-08 3.0e-03 2.4e-06 1.01e+00 1.665304828e+02 1.665305732e+02 2.1e-11 3.41
106 3.5e-08 2.7e-03 2.2e-06 9.96e-01 1.665304889e+02 1.665305702e+02 1.9e-11 3.44
107 3.1e-08 2.4e-03 2.0e-06 1.01e+00 1.665304945e+02 1.665305673e+02 1.7e-11 3.47
108 2.8e-08 2.2e-03 1.8e-06 9.92e-01 1.665304993e+02 1.665305649e+02 1.5e-11 3.50
109 2.5e-08 2.0e-03 1.6e-06 9.91e-01 1.665305037e+02 1.665305627e+02 1.4e-11 3.53
110 2.3e-08 1.8e-03 1.4e-06 1.03e+00 1.665305081e+02 1.665305605e+02 1.2e-11 3.56
111 2.1e-08 1.6e-03 1.3e-06 1.01e+00 1.665305117e+02 1.665305587e+02 1.1e-11 3.59
112 1.9e-08 1.4e-03 1.2e-06 1.04e+00 1.665305154e+02 1.665305567e+02 1.0e-11 3.62
113 1.7e-08 1.3e-03 1.0e-06 9.78e-01 1.665305182e+02 1.665305554e+02 9.3e-12 3.65
114 1.5e-08 1.2e-03 9.4e-07 1.06e+00 1.665305214e+02 1.665305537e+02 8.6e-12 3.68
115 1.4e-08 1.0e-03 8.5e-07 9.89e-01 1.665305236e+02 1.665305526e+02 7.7e-12 3.71
116 1.2e-08 9.4e-04 7.6e-07 9.58e-01 1.665305255e+02 1.665305517e+02 7.0e-12 3.74
117 1.1e-08 8.5e-04 6.9e-07 1.18e+00 1.665305287e+02 1.665305499e+02 6.8e-12 3.77
118 1.0e-08 7.6e-04 6.2e-07 1.03e+00 1.665305303e+02 1.665305491e+02 6.3e-12 3.79
119 9.2e-09 6.9e-04 5.6e-07 1.27e+00 1.665305317e+02 1.665305483e+02 5.6e-12 3.83
120 8.3e-09 6.2e-04 5.0e-07 9.61e-01 1.665305328e+02 1.665305478e+02 5.1e-12 3.86
121 7.5e-09 5.6e-04 4.5e-07 1.02e+00 1.665305339e+02 1.665305473e+02 4.6e-12 3.89
122 6.9e-09 5.0e-04 4.1e-07 9.58e-01 1.665305348e+02 1.665305469e+02 4.1e-12 3.92
123 6.3e-09 4.5e-04 3.6e-07 1.12e+00 1.665305361e+02 1.665305462e+02 4.0e-12 3.95
124 5.8e-09 4.1e-04 3.3e-07 1.09e+00 1.665305371e+02 1.665305457e+02 3.7e-12 3.98
125 5.6e-09 3.6e-04 3.0e-07 1.15e+00 1.665305381e+02 1.665305452e+02 3.6e-12 4.01
126 5.0e-09 3.3e-04 2.7e-07 8.20e-01 1.665305386e+02 1.665305450e+02 3.2e-12 4.04
127 4.5e-09 3.0e-04 2.4e-07 9.74e-01 1.665305390e+02 1.665305448e+02 2.9e-12 4.07
128 1.3e-09 1.6e-05 1.3e-08 9.93e-01 1.665305428e+02 1.665305431e+02 1.7e-13 4.10
Interior-point optimizer terminated. Time: 4.11.
Optimizer terminated. Time: 4.12
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054280e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6653054312e+02 Viol. con: 0e+00 var: 7e-05
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.15 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 : Linux/64-X86
Cores : 20
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 : 20
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 : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286069766e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264280191e+05 3.575761765e+00 4.8e-01 0.34
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.202642600e+05 1.018055884e+01 1.9e-01 0.37
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.155864704e+05 6.348057138e+01 1.2e-01 0.40
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.129604571e+05 2.275516429e+03 1.2e-01 0.43
5 7.5e+01 9.6e+01 4.2e+03 -7.53e-01 -7.467567899e+04 9.661823016e+03 3.3e-02 0.46
6 3.3e+01 4.2e+01 1.8e+03 -1.93e-01 -4.344558975e+04 1.030574787e+04 1.4e-02 0.50
7 1.9e+01 2.5e+01 1.1e+03 3.43e-01 -2.866891261e+04 6.921960498e+03 8.5e-03 0.53
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.820600532e+04 4.395207284e+03 5.0e-03 0.56
9 4.5e+00 5.8e+00 2.5e+02 7.73e-01 -7.371173811e+03 2.103310921e+03 2.0e-03 0.59
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.214999068e+03 1.325825700e+03 9.3e-04 0.63
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.014777306e+03 8.899305478e+02 6.0e-04 0.66
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.165876277e+03 6.060242852e+02 3.6e-04 0.69
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.120639488e+02 5.060789303e+02 2.9e-04 0.71
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.191578142e+02 3.802503549e+02 1.6e-04 0.74
15 1.8e-01 2.4e-01 1.0e+01 9.93e-01 -1.346765286e+02 2.582551646e+02 8.0e-05 0.78
16 7.9e-02 1.4e-01 4.6e+00 1.01e+00 2.126589075e+01 1.996186709e+02 3.7e-05 0.82
17 6.8e-02 1.2e-01 3.9e+00 1.02e+00 4.474440476e+01 1.978736634e+02 3.2e-05 0.85
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.178018511e+02 1.806433905e+02 1.3e-05 0.88
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.531898428e+02 1.714404971e+02 3.8e-06 0.92
20 2.9e-03 2.3e-01 1.7e-01 1.00e+00 1.613916951e+02 1.680580828e+02 1.4e-06 0.95
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635875218e+02 1.674596954e+02 8.2e-07 0.98
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656228748e+02 1.668056610e+02 2.5e-07 1.01
23 1.9e-04 1.0e-01 1.2e-02 1.01e+00 1.661601956e+02 1.666051227e+02 9.8e-08 1.04
24 8.5e-05 8.7e-02 5.4e-03 1.01e+00 1.663313500e+02 1.665357368e+02 4.5e-08 1.07
25 3.9e-05 7.9e-02 2.5e-03 1.01e+00 1.664099064e+02 1.665032885e+02 2.1e-08 1.10
26 3.5e-05 7.2e-02 2.2e-03 1.01e+00 1.664180457e+02 1.665021140e+02 1.9e-08 1.13
27 3.1e-05 6.6e-02 2.0e-03 1.01e+00 1.664237579e+02 1.664993906e+02 1.7e-08 1.16
28 2.8e-05 6.0e-02 1.8e-03 1.01e+00 1.664290274e+02 1.664970822e+02 1.5e-08 1.19
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664337420e+02 1.664949787e+02 1.4e-08 1.22
30 2.3e-05 5.0e-02 1.5e-03 1.01e+00 1.664379800e+02 1.664930827e+02 1.2e-08 1.25
31 2.1e-05 4.6e-02 1.3e-03 1.00e+00 1.664417864e+02 1.664913705e+02 1.1e-08 1.28
32 1.8e-05 4.2e-02 1.2e-03 1.00e+00 1.664452064e+02 1.664898253e+02 1.0e-08 1.32
33 1.7e-05 3.9e-02 1.1e-03 1.00e+00 1.664482794e+02 1.664884308e+02 9.0e-09 1.35
34 1.5e-05 3.6e-02 9.6e-04 1.00e+00 1.664510408e+02 1.664871727e+02 8.1e-09 1.38
35 1.3e-05 3.3e-02 8.6e-04 1.00e+00 1.664535227e+02 1.664860376e+02 7.3e-09 1.41
36 1.2e-05 3.0e-02 7.8e-04 1.00e+00 1.664557534e+02 1.664850140e+02 6.5e-09 1.44
37 1.1e-05 2.8e-02 7.0e-04 1.00e+00 1.664577587e+02 1.664840909e+02 5.9e-09 1.47
38 9.8e-06 2.6e-02 6.3e-04 1.00e+00 1.664595615e+02 1.664832585e+02 5.3e-09 1.50
39 8.8e-06 2.4e-02 5.7e-04 1.00e+00 1.664611823e+02 1.664825082e+02 4.8e-09 1.53
40 8.0e-06 2.3e-02 5.1e-04 1.00e+00 1.664626398e+02 1.664818318e+02 4.3e-09 1.56
41 7.2e-06 2.1e-02 4.6e-04 1.00e+00 1.664639505e+02 1.664812224e+02 3.9e-09 1.59
42 6.4e-06 2.0e-02 4.1e-04 1.00e+00 1.664651292e+02 1.664806732e+02 3.5e-09 1.63
43 5.8e-06 1.9e-02 3.7e-04 1.00e+00 1.664661894e+02 1.664801784e+02 3.1e-09 1.66
44 5.2e-06 1.7e-02 3.3e-04 1.00e+00 1.664671430e+02 1.664797325e+02 2.8e-09 1.69
45 4.7e-06 1.6e-02 3.0e-04 1.00e+00 1.664680008e+02 1.664793310e+02 2.5e-09 1.72
46 4.2e-06 1.6e-02 2.7e-04 1.00e+00 1.664687724e+02 1.664789693e+02 2.3e-09 1.75
47 3.8e-06 1.5e-02 2.4e-04 1.00e+00 1.664694665e+02 1.664786435e+02 2.1e-09 1.79
48 3.4e-06 1.4e-02 2.2e-04 1.00e+00 1.664700910e+02 1.664783500e+02 1.8e-09 1.82
49 3.1e-06 1.3e-02 2.0e-04 1.00e+00 1.664706527e+02 1.664780856e+02 1.7e-09 1.85
50 2.8e-06 1.3e-02 1.8e-04 1.00e+00 1.664711580e+02 1.664778476e+02 1.5e-09 1.88
51 2.5e-06 1.2e-02 1.6e-04 1.00e+00 1.664716126e+02 1.664776332e+02 1.3e-09 1.91
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664720216e+02 1.664774401e+02 1.2e-09 1.95
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664723898e+02 1.664772664e+02 1.1e-09 1.98
54 1.8e-06 1.1e-02 1.2e-04 1.00e+00 1.664727210e+02 1.664771099e+02 9.8e-10 2.01
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664730191e+02 1.664769690e+02 8.9e-10 2.04
56 1.5e-06 1.0e-02 9.4e-05 1.00e+00 1.664732874e+02 1.664768423e+02 8.0e-10 2.08
57 1.3e-06 1.0e-02 8.5e-05 1.00e+00 1.664735288e+02 1.664767282e+02 7.2e-10 2.11
58 1.2e-06 9.9e-03 7.6e-05 1.00e+00 1.664737461e+02 1.664766256e+02 6.5e-10 2.14
59 1.1e-06 9.6e-03 6.9e-05 1.00e+00 1.664739416e+02 1.664765332e+02 5.8e-10 2.18
60 9.7e-07 9.4e-03 6.2e-05 1.00e+00 1.664741175e+02 1.664764500e+02 5.2e-10 2.20
61 8.7e-07 9.2e-03 5.6e-05 1.00e+00 1.664742759e+02 1.664763751e+02 4.7e-10 2.23
62 7.8e-07 9.1e-03 5.0e-05 1.00e+00 1.664744183e+02 1.664763076e+02 4.2e-10 2.26
63 7.1e-07 8.9e-03 4.5e-05 1.00e+00 1.664745465e+02 1.664762468e+02 3.8e-10 2.29
64 6.3e-07 8.8e-03 4.1e-05 1.00e+00 1.664746619e+02 1.664761922e+02 3.4e-10 2.33
65 5.7e-07 8.7e-03 3.7e-05 1.00e+00 1.664747656e+02 1.664761429e+02 3.1e-10 2.35
66 5.1e-07 8.6e-03 3.3e-05 1.00e+00 1.664748590e+02 1.664760985e+02 2.8e-10 2.38
67 4.6e-07 8.5e-03 3.0e-05 1.00e+00 1.664749430e+02 1.664760585e+02 2.5e-10 2.41
68 4.2e-07 8.4e-03 2.7e-05 1.00e+00 1.664750185e+02 1.664760225e+02 2.3e-10 2.45
69 3.7e-07 8.3e-03 2.4e-05 1.00e+00 1.664750865e+02 1.664759901e+02 2.0e-10 2.48
70 3.4e-07 8.2e-03 2.2e-05 9.99e-01 1.664751476e+02 1.664759609e+02 1.8e-10 2.51
71 3.0e-07 8.2e-03 1.9e-05 1.00e+00 1.664752026e+02 1.664759345e+02 1.6e-10 2.54
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752520e+02 1.664759108e+02 1.5e-10 2.57
73 2.5e-07 8.1e-03 1.6e-05 1.00e+00 1.664752965e+02 1.664758894e+02 1.3e-10 2.61
74 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664753366e+02 1.664758702e+02 1.2e-10 2.64
75 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664753726e+02 1.664758528e+02 1.1e-10 2.67
76 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.664754051e+02 1.664758372e+02 9.7e-11 2.70
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754343e+02 1.664758230e+02 8.7e-11 2.73
78 1.5e-07 7.9e-03 9.3e-06 9.99e-01 1.664754606e+02 1.664758104e+02 7.9e-11 2.77
79 1.3e-07 7.8e-03 8.4e-06 9.98e-01 1.664754842e+02 1.664757991e+02 7.1e-11 2.80
80 1.2e-07 7.8e-03 7.5e-06 9.97e-01 1.664755054e+02 1.664757888e+02 6.4e-11 2.83
81 1.1e-07 7.8e-03 6.8e-06 9.99e-01 1.664755245e+02 1.664757796e+02 5.7e-11 2.86
82 9.5e-08 7.7e-03 6.1e-06 9.91e-01 1.664755417e+02 1.664757714e+02 5.2e-11 2.89
83 8.6e-08 6.9e-03 5.5e-06 1.00e+00 1.664755573e+02 1.664757638e+02 4.6e-11 2.93
84 7.7e-08 6.2e-03 4.9e-06 1.01e+00 1.664755714e+02 1.664757570e+02 4.2e-11 2.95
85 6.9e-08 5.6e-03 4.4e-06 1.00e+00 1.664755840e+02 1.664757509e+02 3.8e-11 2.98
86 6.3e-08 5.1e-03 4.0e-06 1.00e+00 1.664755953e+02 1.664757454e+02 3.4e-11 3.01
87 5.6e-08 4.5e-03 3.6e-06 1.00e+00 1.664756055e+02 1.664757405e+02 3.1e-11 3.03
88 5.1e-08 4.1e-03 3.2e-06 1.00e+00 1.664756146e+02 1.664757361e+02 2.7e-11 3.06
89 4.6e-08 3.7e-03 2.9e-06 1.00e+00 1.664756228e+02 1.664757321e+02 2.5e-11 3.09
90 4.1e-08 3.3e-03 2.6e-06 9.98e-01 1.664756302e+02 1.664757286e+02 2.2e-11 3.12
91 3.7e-08 3.0e-03 2.4e-06 9.97e-01 1.664756368e+02 1.664757254e+02 2.0e-11 3.16
92 3.3e-08 2.7e-03 2.1e-06 1.00e+00 1.664756428e+02 1.664757225e+02 1.8e-11 3.18
93 3.0e-08 2.4e-03 1.9e-06 1.01e+00 1.664756483e+02 1.664757198e+02 1.6e-11 3.21
94 2.7e-08 2.2e-03 1.7e-06 1.00e+00 1.664756531e+02 1.664757175e+02 1.5e-11 3.24
95 2.4e-08 2.0e-03 1.6e-06 1.01e+00 1.664756576e+02 1.664757153e+02 1.3e-11 3.27
96 2.2e-08 1.8e-03 1.4e-06 1.01e+00 1.664756616e+02 1.664757133e+02 1.2e-11 3.30
97 2.0e-08 1.6e-03 1.3e-06 9.82e-01 1.664756651e+02 1.664757117e+02 1.1e-11 3.33
98 1.8e-08 1.4e-03 1.1e-06 1.02e+00 1.664756685e+02 1.664757100e+02 9.8e-12 3.36
99 1.6e-08 1.3e-03 1.0e-06 1.02e+00 1.664756716e+02 1.664757085e+02 8.9e-12 3.39
100 1.4e-08 1.2e-03 9.2e-07 9.88e-01 1.664756741e+02 1.664757073e+02 8.0e-12 3.42
101 1.3e-08 1.0e-03 8.2e-07 1.02e+00 1.664756765e+02 1.664757061e+02 7.3e-12 3.46
102 1.2e-08 9.4e-04 7.4e-07 1.02e+00 1.664756786e+02 1.664757051e+02 6.6e-12 3.49
103 1.0e-08 8.4e-04 6.7e-07 1.03e+00 1.664756807e+02 1.664757041e+02 6.0e-12 3.52
104 9.4e-09 7.6e-04 6.0e-07 9.98e-01 1.664756823e+02 1.664757033e+02 5.4e-12 3.55
105 2.9e-09 7.8e-05 6.2e-08 9.59e-01 1.664756952e+02 1.664756974e+02 6.4e-13 3.58
Interior-point optimizer terminated. Time: 3.58.
Optimizer terminated. Time: 3.61
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569517e+02 Viol. con: 6e-08 var: 0e+00
Dual. obj: 1.6647569737e+02 Viol. con: 0e+00 var: 5e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.63 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 : Linux/64-X86
Cores : 20
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 : 20
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 : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285358123e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263542089e+05 3.574445613e+00 4.8e-01 0.08
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201588509e+05 1.021566953e+01 1.9e-01 0.11
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154718925e+05 6.399961900e+01 1.2e-01 0.14
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.128613773e+05 2.263785768e+03 1.2e-01 0.17
5 7.5e+01 9.7e+01 4.2e+03 -7.52e-01 -7.480738479e+04 9.600140080e+03 3.3e-02 0.20
6 3.0e+01 3.9e+01 1.7e+03 -1.96e-01 -4.068259049e+04 1.026881389e+04 1.3e-02 0.24
7 1.8e+01 2.3e+01 1.0e+03 3.91e-01 -2.712658307e+04 6.680863049e+03 7.9e-03 0.27
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.569362769e+04 3.889216358e+03 4.3e-03 0.30
9 3.9e+00 5.0e+00 2.2e+02 8.12e-01 -6.429968736e+03 1.893873883e+03 1.7e-03 0.33
10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.286677308e+03 1.204165482e+03 9.2e-04 0.36
11 1.0e+00 1.3e+00 5.9e+01 9.80e-01 -1.544944626e+03 7.355127695e+02 4.7e-04 0.40
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.184097422e+03 6.013195977e+02 3.6e-04 0.43
13 4.8e-01 6.2e-01 2.7e+01 9.74e-01 -6.380884927e+02 4.207575962e+02 2.1e-04 0.45
14 2.6e-01 3.6e-01 1.5e+01 1.00e+00 -2.718677953e+02 3.084882835e+02 1.2e-04 0.49
15 9.7e-02 1.5e-01 5.5e+00 1.00e+00 -1.010350027e+01 2.072406448e+02 4.5e-05 0.52
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.582593195e+01 2.085964127e+02 4.0e-05 0.55
17 5.3e-02 8.8e-02 3.1e+00 1.02e+00 7.254182978e+01 1.918841605e+02 2.5e-05 0.59
18 2.3e-02 6.9e-02 1.3e+00 1.02e+00 1.266780764e+02 1.778034839e+02 1.1e-05 0.62
19 6.2e-03 2.3e-01 3.7e-01 1.01e+00 1.562554562e+02 1.702789630e+02 2.9e-06 0.65
20 3.1e-03 3.1e-01 1.8e-01 1.00e+00 1.610363607e+02 1.681100270e+02 1.5e-06 0.69
21 1.6e-03 1.7e-01 9.8e-02 1.01e+00 1.636144892e+02 1.673813725e+02 8.0e-07 0.72
22 4.9e-04 1.4e-01 3.0e-02 1.01e+00 1.656242806e+02 1.667725305e+02 2.5e-07 0.77
23 3.1e-04 1.1e-01 1.9e-02 9.98e-01 1.659258700e+02 1.666521387e+02 1.6e-07 0.80
24 1.9e-04 7.7e-02 1.2e-02 9.85e-01 1.661267291e+02 1.665737781e+02 9.7e-08 0.84
25 1.7e-04 6.6e-02 1.0e-02 9.99e-01 1.661696491e+02 1.665612790e+02 8.5e-08 0.87
26 1.5e-04 6.0e-02 9.3e-03 1.01e+00 1.661982664e+02 1.665504917e+02 7.7e-08 0.91
27 1.3e-04 5.5e-02 8.4e-03 1.01e+00 1.662230842e+02 1.665399594e+02 6.9e-08 0.94
28 1.2e-04 5.0e-02 7.5e-03 1.01e+00 1.662455601e+02 1.665306798e+02 6.2e-08 0.98
29 1.1e-04 4.6e-02 6.8e-03 1.01e+00 1.662656963e+02 1.665222479e+02 5.6e-08 1.01
30 9.8e-05 4.2e-02 6.1e-03 1.01e+00 1.662837700e+02 1.665146210e+02 5.0e-08 1.06
31 8.8e-05 3.8e-02 5.5e-03 1.01e+00 1.662999882e+02 1.665077174e+02 4.5e-08 1.09
32 7.9e-05 3.5e-02 4.9e-03 1.01e+00 1.663145432e+02 1.665014698e+02 4.1e-08 1.13
33 7.1e-05 3.3e-02 4.4e-03 1.00e+00 1.663276061e+02 1.664958161e+02 3.7e-08 1.16
34 6.4e-05 3.0e-02 4.0e-03 1.00e+00 1.663393308e+02 1.664907005e+02 3.3e-08 1.20
35 5.8e-05 2.8e-02 3.6e-03 1.00e+00 1.663498553e+02 1.664860726e+02 3.0e-08 1.23
36 5.2e-05 2.6e-02 3.2e-03 1.00e+00 1.663593034e+02 1.664818867e+02 2.7e-08 1.27
37 4.7e-05 2.4e-02 2.9e-03 1.00e+00 1.663677861e+02 1.664781014e+02 2.4e-08 1.30
38 4.2e-05 2.2e-02 2.6e-03 1.00e+00 1.663754030e+02 1.664746790e+02 2.2e-08 1.34
39 3.8e-05 2.1e-02 2.4e-03 1.00e+00 1.663822430e+02 1.664715854e+02 2.0e-08 1.37
40 3.4e-05 1.9e-02 2.1e-03 1.00e+00 1.663883861e+02 1.664687894e+02 1.8e-08 1.41
41 3.1e-05 1.8e-02 1.9e-03 1.00e+00 1.663939037e+02 1.664662629e+02 1.6e-08 1.44
42 2.8e-05 1.7e-02 1.7e-03 1.00e+00 1.663988598e+02 1.664639803e+02 1.4e-08 1.48
43 2.5e-05 1.6e-02 1.6e-03 1.00e+00 1.664033121e+02 1.664619182e+02 1.3e-08 1.52
44 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664073119e+02 1.664600557e+02 1.2e-08 1.56
45 2.0e-05 1.5e-02 1.3e-03 1.00e+00 1.664109055e+02 1.664583736e+02 1.0e-08 1.59
46 1.8e-05 1.4e-02 1.1e-03 1.00e+00 1.664141344e+02 1.664568546e+02 9.4e-09 1.62
47 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664170357e+02 1.664554831e+02 8.4e-09 1.66
48 1.5e-05 1.3e-02 9.2e-04 1.00e+00 1.664196429e+02 1.664542450e+02 7.6e-09 1.69
49 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664219859e+02 1.664531274e+02 6.8e-09 1.72
50 1.2e-05 1.2e-02 7.4e-04 1.00e+00 1.664240916e+02 1.664521187e+02 6.2e-09 1.76
51 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.664259842e+02 1.664512084e+02 5.5e-09 1.79
52 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664276854e+02 1.664503871e+02 5.0e-09 1.82
53 8.6e-06 1.1e-02 5.4e-04 1.00e+00 1.664292147e+02 1.664496462e+02 4.5e-09 1.85
54 7.8e-06 1.0e-02 4.9e-04 1.00e+00 1.664305894e+02 1.664489778e+02 4.0e-09 1.89
55 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318254e+02 1.664483749e+02 3.6e-09 1.92
56 6.3e-06 9.9e-03 3.9e-04 1.00e+00 1.664329366e+02 1.664478312e+02 3.3e-09 1.95
57 5.7e-06 9.7e-03 3.5e-04 1.00e+00 1.664339358e+02 1.664473410e+02 2.9e-09 1.98
58 5.1e-06 9.6e-03 3.2e-04 1.00e+00 1.664348342e+02 1.664468990e+02 2.7e-09 2.01
59 4.6e-06 9.4e-03 2.9e-04 1.00e+00 1.664356421e+02 1.664465004e+02 2.4e-09 2.05
60 4.1e-06 9.2e-03 2.6e-04 1.00e+00 1.664363685e+02 1.664461411e+02 2.1e-09 2.08
61 3.7e-06 9.1e-03 2.3e-04 1.00e+00 1.664370217e+02 1.664458171e+02 1.9e-09 2.11
62 3.3e-06 9.0e-03 2.1e-04 1.00e+00 1.664376091e+02 1.664455250e+02 1.7e-09 2.14
63 3.0e-06 8.9e-03 1.9e-04 1.00e+00 1.664381373e+02 1.664452618e+02 1.6e-09 2.17
64 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386124e+02 1.664450244e+02 1.4e-09 2.21
65 2.4e-06 8.7e-03 1.5e-04 1.00e+00 1.664390396e+02 1.664448106e+02 1.3e-09 2.24
66 2.2e-06 8.6e-03 1.4e-04 1.00e+00 1.664394240e+02 1.664446179e+02 1.1e-09 2.27
67 2.0e-06 8.5e-03 1.2e-04 1.00e+00 1.664397697e+02 1.664444442e+02 1.0e-09 2.30
68 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400807e+02 1.664442879e+02 9.3e-10 2.34
69 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403606e+02 1.664441470e+02 8.3e-10 2.37
70 1.4e-06 8.3e-03 9.0e-05 1.00e+00 1.664406123e+02 1.664440201e+02 7.5e-10 2.40
71 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408388e+02 1.664439059e+02 6.7e-10 2.44
72 1.2e-06 8.2e-03 7.3e-05 1.00e+00 1.664410425e+02 1.664438030e+02 6.1e-10 2.47
73 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412258e+02 1.664437103e+02 5.5e-10 2.50
74 9.5e-07 8.1e-03 5.9e-05 1.00e+00 1.664413907e+02 1.664436268e+02 4.9e-10 2.54
75 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415391e+02 1.664435515e+02 4.4e-10 2.57
76 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416726e+02 1.664434838e+02 4.0e-10 2.60
77 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417927e+02 1.664434228e+02 3.6e-10 2.64
78 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419007e+02 1.664433678e+02 3.2e-10 2.67
79 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664419979e+02 1.664433183e+02 2.9e-10 2.71
80 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420853e+02 1.664432736e+02 2.6e-10 2.74
81 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421640e+02 1.664432334e+02 2.4e-10 2.77
82 4.1e-07 7.8e-03 2.5e-05 1.00e+00 1.664422347e+02 1.664431972e+02 2.1e-10 2.80
83 3.7e-07 7.8e-03 2.3e-05 9.99e-01 1.664422984e+02 1.664431647e+02 1.9e-10 2.84
84 3.3e-07 7.7e-03 2.1e-05 9.98e-01 1.664423556e+02 1.664431354e+02 1.7e-10 2.87
85 3.0e-07 7.7e-03 1.9e-05 1.00e+00 1.664424071e+02 1.664431089e+02 1.5e-10 2.91
86 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424535e+02 1.664430851e+02 1.4e-10 2.94
87 2.4e-07 7.7e-03 1.5e-05 9.99e-01 1.664424952e+02 1.664430637e+02 1.3e-10 2.98
88 2.2e-07 7.7e-03 1.4e-05 9.99e-01 1.664425328e+02 1.664430444e+02 1.1e-10 3.01
89 1.9e-07 7.6e-03 1.2e-05 1.00e+00 1.664425666e+02 1.664430270e+02 1.0e-10 3.04
90 1.8e-07 7.6e-03 1.1e-05 9.97e-01 1.664425970e+02 1.664430115e+02 9.1e-11 3.07
91 1.6e-07 7.6e-03 9.9e-06 1.00e+00 1.664426244e+02 1.664429974e+02 8.2e-11 3.10
92 1.4e-07 7.6e-03 8.9e-06 1.00e+00 1.664426490e+02 1.664429847e+02 7.4e-11 3.14
93 1.3e-07 7.6e-03 8.0e-06 1.00e+00 1.664426712e+02 1.664429733e+02 6.6e-11 3.17
94 1.1e-07 7.6e-03 7.2e-06 9.95e-01 1.664426911e+02 1.664429631e+02 6.0e-11 3.20
95 1.0e-07 7.5e-03 6.5e-06 9.99e-01 1.664427091e+02 1.664429539e+02 5.4e-11 3.23
96 9.3e-08 7.5e-03 5.8e-06 1.00e+00 1.664427253e+02 1.664429456e+02 4.8e-11 3.25
97 8.4e-08 7.5e-03 5.2e-06 9.92e-01 1.664427398e+02 1.664429382e+02 4.4e-11 3.28
98 7.5e-08 6.8e-03 4.7e-06 1.00e+00 1.664427529e+02 1.664429314e+02 3.9e-11 3.31
99 6.8e-08 6.1e-03 4.3e-06 9.94e-01 1.664427647e+02 1.664429254e+02 3.5e-11 3.34
100 6.1e-08 5.5e-03 3.8e-06 9.97e-01 1.664427753e+02 1.664429200e+02 3.2e-11 3.36
101 5.5e-08 4.9e-03 3.4e-06 9.89e-01 1.664427849e+02 1.664429151e+02 2.9e-11 3.40
102 5.0e-08 4.4e-03 3.1e-06 1.01e+00 1.664427938e+02 1.664429105e+02 2.6e-11 3.43
103 4.5e-08 4.0e-03 2.8e-06 1.01e+00 1.664428016e+02 1.664429065e+02 2.3e-11 3.46
104 4.0e-08 3.6e-03 2.5e-06 1.00e+00 1.664428085e+02 1.664429029e+02 2.1e-11 3.49
105 3.6e-08 3.2e-03 2.3e-06 1.00e+00 1.664428147e+02 1.664428997e+02 1.9e-11 3.52
106 3.2e-08 2.9e-03 2.0e-06 9.89e-01 1.664428203e+02 1.664428968e+02 1.7e-11 3.56
107 2.9e-08 2.6e-03 1.8e-06 1.02e+00 1.664428259e+02 1.664428939e+02 1.5e-11 3.59
108 2.6e-08 2.4e-03 1.6e-06 9.67e-01 1.664428304e+02 1.664428916e+02 1.4e-11 3.62
109 2.4e-08 2.1e-03 1.5e-06 1.03e+00 1.664428349e+02 1.664428892e+02 1.3e-11 3.65
110 2.1e-08 1.9e-03 1.3e-06 9.88e-01 1.664428385e+02 1.664428874e+02 1.1e-11 3.68
111 1.9e-08 1.7e-03 1.2e-06 1.10e+00 1.664428432e+02 1.664428847e+02 1.1e-11 3.71
112 1.7e-08 1.5e-03 1.1e-06 1.08e+00 1.664428470e+02 1.664428827e+02 1.0e-11 3.73
113 1.6e-08 1.4e-03 9.7e-07 1.07e+00 1.664428501e+02 1.664428811e+02 9.3e-12 3.77
114 1.4e-08 1.3e-03 8.8e-07 1.02e+00 1.664428523e+02 1.664428799e+02 8.5e-12 3.80
115 1.3e-08 1.1e-03 7.9e-07 9.29e-01 1.664428542e+02 1.664428791e+02 7.6e-12 3.85
116 1.3e-08 1.0e-03 7.1e-07 1.20e+00 1.664428573e+02 1.664428771e+02 7.6e-12 3.88
117 1.2e-08 9.2e-04 6.4e-07 1.15e+00 1.664428596e+02 1.664428759e+02 7.4e-12 3.91
118 1.1e-08 8.3e-04 5.8e-07 8.92e-01 1.664428607e+02 1.664428754e+02 6.6e-12 3.95
119 9.6e-09 7.4e-04 5.2e-07 6.46e-01 1.664428617e+02 1.664428750e+02 6.0e-12 3.98
120 8.6e-09 6.7e-04 4.7e-07 1.67e+00 1.664428627e+02 1.664428745e+02 5.4e-12 4.01
121 8.0e-09 6.0e-04 4.2e-07 7.41e-01 1.664428634e+02 1.664428744e+02 4.8e-12 4.04
122 7.7e-09 5.4e-04 3.8e-07 7.26e-01 1.664428641e+02 1.664428741e+02 4.4e-12 4.07
123 6.6e-09 4.9e-04 3.4e-07 7.94e-01 1.664428647e+02 1.664428739e+02 3.9e-12 4.11
124 6.0e-09 4.4e-04 3.1e-07 5.71e-01 1.664428654e+02 1.664428736e+02 3.5e-12 4.14
125 5.5e-09 4.0e-04 2.8e-07 3.67e-01 1.664428659e+02 1.664428735e+02 3.2e-12 4.17
126 5.6e-09 3.6e-04 2.5e-07 1.51e+00 1.664428664e+02 1.664428731e+02 2.9e-12 4.21
127 6.4e-09 3.2e-04 2.2e-07 8.35e-01 1.664428668e+02 1.664428730e+02 2.6e-12 4.24
128 1.1e-08 2.9e-04 2.0e-07 1.06e+00 1.664428673e+02 1.664428727e+02 2.4e-12 4.27
129 9.2e-09 2.6e-04 1.8e-07 7.56e-01 1.664428677e+02 1.664428725e+02 2.1e-12 4.30
130 1.0e-08 2.3e-04 1.6e-07 7.46e-01 1.664428680e+02 1.664428724e+02 1.9e-12 4.33
131 8.1e-09 2.1e-04 1.5e-07 4.29e+00 1.664428682e+02 1.664428723e+02 1.7e-12 4.36
132 4.3e-09 1.9e-04 1.3e-07 6.44e-01 1.664428685e+02 1.664428723e+02 1.6e-12 4.39
133 4.0e-09 1.7e-04 1.2e-07 6.27e-01 1.664428687e+02 1.664428722e+02 1.4e-12 4.42
134 4.0e-09 1.7e-04 1.2e-07 7.71e+01 1.664428687e+02 1.664428722e+02 1.4e-12 4.46
135 3.1e-09 1.5e-04 1.1e-07 1.23e+00 1.664428689e+02 1.664428720e+02 1.3e-12 4.49
136 5.9e-09 1.4e-04 9.6e-08 6.79e-01 1.664428691e+02 1.664428720e+02 1.2e-12 4.52
137 4.7e-09 1.2e-04 1.0e-07 1.00e+00 1.664428689e+02 1.664428719e+02 1.0e-12 4.55
138 3.2e-09 1.1e-04 9.1e-08 5.31e-01 1.664428691e+02 1.664428717e+02 9.3e-13 4.59
Interior-point optimizer terminated. Time: 4.59.
Optimizer terminated. Time: 4.61
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286907e+02 Viol. con: 5e-08 var: 0e+00
Dual. obj: 1.6644287172e+02 Viol. con: 0e+00 var: 6e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.63 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 : Linux/64-X86
Cores : 20
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 : 20
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+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285340955e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263517277e+05 3.573621046e+00 4.8e-01 0.25
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201360063e+05 1.023272885e+01 1.8e-01 0.28
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154380575e+05 6.426645194e+01 1.2e-01 0.31
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.128348620e+05 2.258318495e+03 1.2e-01 0.34
5 7.5e+01 9.6e+01 4.1e+03 -7.52e-01 -7.471879871e+04 9.598258000e+03 3.3e-02 0.37
6 3.0e+01 3.9e+01 1.7e+03 -1.95e-01 -4.050837198e+04 1.020869569e+04 1.3e-02 0.40
7 1.8e+01 2.3e+01 1.0e+03 3.94e-01 -2.711077593e+04 6.648787134e+03 7.9e-03 0.43
8 9.5e+00 1.2e+01 5.3e+02 6.30e-01 -1.542139775e+04 3.834873851e+03 4.2e-03 0.46
9 3.6e+00 4.7e+00 2.0e+02 8.16e-01 -5.933709663e+03 1.798171494e+03 1.6e-03 0.49
10 2.0e+00 2.6e+00 1.1e+02 9.47e-01 -3.130700279e+03 1.194463066e+03 8.9e-04 0.53
11 8.4e-01 1.1e+00 4.7e+01 9.81e-01 -1.229432624e+03 6.158758181e+02 3.8e-04 0.56
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.213196143e+03 5.912530977e+02 3.7e-04 0.59
13 5.1e-01 6.6e-01 2.9e+01 9.72e-01 -7.067508382e+02 4.266799956e+02 2.3e-04 0.62
14 3.1e-01 4.2e-01 1.8e+01 1.00e+00 -3.527382796e+02 3.410994886e+02 1.4e-04 0.65
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.763074950e+01 2.143697141e+02 5.0e-05 0.68
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.135856414e+01 2.045406090e+02 3.8e-05 0.71
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.501563226e+01 1.868883231e+02 1.9e-05 0.74
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425022299e+02 1.741743324e+02 6.6e-06 0.77
19 6.2e-03 7.2e-02 3.6e-01 1.01e+00 1.557128742e+02 1.695764310e+02 2.9e-06 0.80
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638759152e+02 1.673863068e+02 7.4e-07 0.83
21 8.0e-04 1.1e-01 4.9e-02 9.78e-01 1.650621539e+02 1.669373222e+02 4.0e-07 0.86
22 2.4e-04 1.1e-01 1.6e-02 9.90e-01 1.660031502e+02 1.665978406e+02 1.3e-07 0.89
23 1.1e-04 8.9e-02 7.5e-03 1.01e+00 1.662212877e+02 1.665057564e+02 6.3e-08 0.92
24 4.7e-05 8.5e-02 3.1e-03 1.01e+00 1.663394235e+02 1.664571338e+02 2.6e-08 0.95
25 2.2e-05 7.7e-02 1.5e-03 1.01e+00 1.663835789e+02 1.664385511e+02 1.2e-08 0.98
26 2.0e-05 7.1e-02 1.3e-03 1.00e+00 1.663881972e+02 1.664377014e+02 1.1e-08 1.01
27 1.8e-05 6.4e-02 1.2e-03 1.01e+00 1.663915597e+02 1.664361005e+02 1.0e-08 1.04
28 1.6e-05 5.9e-02 1.1e-03 1.00e+00 1.663946472e+02 1.664347270e+02 9.0e-09 1.07
29 1.4e-05 5.4e-02 9.6e-04 1.00e+00 1.663974102e+02 1.664334758e+02 8.1e-09 1.10
30 1.3e-05 4.9e-02 8.6e-04 1.00e+00 1.663998948e+02 1.664323489e+02 7.3e-09 1.13
31 1.2e-05 4.5e-02 7.7e-04 1.00e+00 1.664021273e+02 1.664313319e+02 6.5e-09 1.16
32 1.0e-05 4.1e-02 7.0e-04 1.00e+00 1.664041337e+02 1.664304145e+02 5.9e-09 1.19
33 9.4e-06 3.8e-02 6.3e-04 1.00e+00 1.664059371e+02 1.664295871e+02 5.3e-09 1.22
34 8.5e-06 3.5e-02 5.6e-04 1.00e+00 1.664075581e+02 1.664288410e+02 4.8e-09 1.25
35 7.7e-06 3.2e-02 5.1e-04 1.00e+00 1.664090153e+02 1.664281681e+02 4.3e-09 1.27
36 6.9e-06 3.0e-02 4.6e-04 1.00e+00 1.664103254e+02 1.664275614e+02 3.9e-09 1.31
37 6.2e-06 2.8e-02 4.1e-04 1.00e+00 1.664115032e+02 1.664270144e+02 3.5e-09 1.34
38 5.6e-06 2.6e-02 3.7e-04 1.00e+00 1.664125621e+02 1.664265214e+02 3.1e-09 1.37
39 5.0e-06 2.4e-02 3.3e-04 1.00e+00 1.664135144e+02 1.664260770e+02 2.8e-09 1.40
40 4.5e-06 2.2e-02 3.0e-04 1.00e+00 1.664143706e+02 1.664256764e+02 2.5e-09 1.43
41 4.1e-06 2.1e-02 2.7e-04 1.00e+00 1.664151406e+02 1.664253154e+02 2.3e-09 1.46
42 3.7e-06 2.0e-02 2.4e-04 1.00e+00 1.664158330e+02 1.664249899e+02 2.1e-09 1.49
43 3.3e-06 1.8e-02 2.2e-04 1.00e+00 1.664164557e+02 1.664246966e+02 1.8e-09 1.52
44 3.0e-06 1.7e-02 2.0e-04 1.00e+00 1.664170157e+02 1.664244323e+02 1.7e-09 1.55
45 2.7e-06 1.6e-02 1.8e-04 1.00e+00 1.664175193e+02 1.664241941e+02 1.5e-09 1.58
46 2.4e-06 1.5e-02 1.6e-04 1.00e+00 1.664179723e+02 1.664239794e+02 1.3e-09 1.61
47 2.2e-06 1.5e-02 1.4e-04 1.00e+00 1.664183798e+02 1.664237860e+02 1.2e-09 1.64
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664187463e+02 1.664236119e+02 1.1e-09 1.67
49 1.8e-06 1.3e-02 1.2e-04 1.00e+00 1.664190761e+02 1.664234551e+02 9.8e-10 1.70
50 1.6e-06 1.3e-02 1.0e-04 1.00e+00 1.664193728e+02 1.664233138e+02 8.8e-10 1.74
51 1.4e-06 1.2e-02 9.4e-05 1.00e+00 1.664196397e+02 1.664231866e+02 8.0e-10 1.77
52 1.3e-06 1.2e-02 8.5e-05 1.00e+00 1.664198799e+02 1.664230720e+02 7.2e-10 1.80
53 1.1e-06 1.1e-02 7.6e-05 1.00e+00 1.664200960e+02 1.664229688e+02 6.4e-10 1.83
54 1.0e-06 1.1e-02 6.9e-05 1.00e+00 1.664202904e+02 1.664228758e+02 5.8e-10 1.86
55 9.3e-07 1.1e-02 6.2e-05 1.00e+00 1.664204653e+02 1.664227922e+02 5.2e-10 1.89
56 8.4e-07 1.0e-02 5.6e-05 1.00e+00 1.664206226e+02 1.664227168e+02 4.7e-10 1.92
57 7.5e-07 1.0e-02 5.0e-05 1.00e+00 1.664207642e+02 1.664226489e+02 4.2e-10 1.95
58 6.8e-07 9.9e-03 4.5e-05 1.00e+00 1.664208915e+02 1.664225878e+02 3.8e-10 1.98
59 6.1e-07 9.7e-03 4.1e-05 1.00e+00 1.664210061e+02 1.664225327e+02 3.4e-10 2.01
60 5.5e-07 9.5e-03 3.6e-05 1.00e+00 1.664211092e+02 1.664224831e+02 3.1e-10 2.04
61 4.9e-07 9.3e-03 3.3e-05 1.00e+00 1.664212019e+02 1.664224384e+02 2.8e-10 2.07
62 4.4e-07 9.1e-03 3.0e-05 1.00e+00 1.664212853e+02 1.664223982e+02 2.5e-10 2.11
63 4.0e-07 9.0e-03 2.7e-05 9.97e-01 1.664213603e+02 1.664223620e+02 2.2e-10 2.14
64 3.6e-07 8.8e-03 2.4e-05 1.00e+00 1.664214278e+02 1.664223294e+02 2.0e-10 2.17
65 3.2e-07 8.7e-03 2.2e-05 1.00e+00 1.664214885e+02 1.664222999e+02 1.8e-10 2.21
66 2.9e-07 8.6e-03 1.9e-05 9.98e-01 1.664215431e+02 1.664222734e+02 1.6e-10 2.24
67 2.6e-07 8.5e-03 1.7e-05 1.00e+00 1.664215922e+02 1.664222495e+02 1.5e-10 2.27
68 2.4e-07 8.4e-03 1.6e-05 9.99e-01 1.664216365e+02 1.664222280e+02 1.3e-10 2.30
69 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664216763e+02 1.664222086e+02 1.2e-10 2.33
70 1.9e-07 8.2e-03 1.3e-05 9.96e-01 1.664217120e+02 1.664221913e+02 1.1e-10 2.36
71 1.7e-07 8.2e-03 1.1e-05 9.98e-01 1.664217443e+02 1.664221756e+02 9.7e-11 2.40
72 1.6e-07 8.1e-03 1.0e-05 1.00e+00 1.664217733e+02 1.664221615e+02 8.7e-11 2.42
73 1.4e-07 8.1e-03 9.3e-06 1.00e+00 1.664217995e+02 1.664221486e+02 7.8e-11 2.46
74 1.3e-07 8.1e-03 8.3e-06 1.01e+00 1.664218233e+02 1.664221369e+02 7.1e-11 2.48
75 1.1e-07 8.0e-03 7.5e-06 1.00e+00 1.664218444e+02 1.664221266e+02 6.4e-11 2.52
76 1.0e-07 8.0e-03 6.8e-06 1.00e+00 1.664218634e+02 1.664221174e+02 5.7e-11 2.54
77 9.2e-08 7.9e-03 6.1e-06 9.98e-01 1.664218805e+02 1.664221091e+02 5.2e-11 2.57
78 8.2e-08 7.9e-03 5.5e-06 9.93e-01 1.664218958e+02 1.664221016e+02 4.6e-11 2.60
79 7.4e-08 7.8e-03 4.9e-06 9.98e-01 1.664219097e+02 1.664220949e+02 4.2e-11 2.63
80 6.7e-08 7.8e-03 4.4e-06 1.00e+00 1.664219221e+02 1.664220888e+02 3.8e-11 2.66
81 6.0e-08 7.0e-03 4.0e-06 1.01e+00 1.664219335e+02 1.664220832e+02 3.4e-11 2.69
82 5.4e-08 6.3e-03 3.6e-06 9.99e-01 1.664219436e+02 1.664220783e+02 3.0e-11 2.72
83 4.9e-08 5.7e-03 3.2e-06 9.93e-01 1.664219526e+02 1.664220739e+02 2.7e-11 2.75
84 4.4e-08 5.1e-03 2.9e-06 1.00e+00 1.664219608e+02 1.664220699e+02 2.5e-11 2.78
85 3.9e-08 4.6e-03 2.6e-06 1.00e+00 1.664219681e+02 1.664220663e+02 2.2e-11 2.82
86 3.5e-08 4.2e-03 2.4e-06 9.92e-01 1.664219747e+02 1.664220631e+02 2.0e-11 2.85
87 3.2e-08 3.7e-03 2.1e-06 1.01e+00 1.664219809e+02 1.664220601e+02 1.8e-11 2.88
88 2.9e-08 3.4e-03 1.9e-06 1.00e+00 1.664219862e+02 1.664220575e+02 1.6e-11 2.91
89 2.6e-08 3.0e-03 1.7e-06 9.88e-01 1.664219910e+02 1.664220552e+02 1.5e-11 2.94
90 2.3e-08 2.7e-03 1.5e-06 9.77e-01 1.664219953e+02 1.664220531e+02 1.3e-11 2.96
91 2.1e-08 2.5e-03 1.4e-06 1.00e+00 1.664219992e+02 1.664220512e+02 1.2e-11 2.99
92 1.9e-08 2.2e-03 1.3e-06 9.71e-01 1.664220026e+02 1.664220495e+02 1.1e-11 3.02
93 1.7e-08 2.0e-03 1.1e-06 9.81e-01 1.664220058e+02 1.664220480e+02 9.6e-12 3.06
94 1.5e-08 1.8e-03 1.0e-06 9.93e-01 1.664220086e+02 1.664220466e+02 8.7e-12 3.09
95 1.4e-08 1.6e-03 9.1e-07 1.03e+00 1.664220115e+02 1.664220452e+02 7.9e-12 3.12
96 1.2e-08 1.4e-03 8.2e-07 1.02e+00 1.664220139e+02 1.664220440e+02 7.2e-12 3.15
97 1.1e-08 1.3e-03 7.4e-07 8.61e-01 1.664220159e+02 1.664220431e+02 6.5e-12 3.18
98 1.0e-08 1.2e-03 6.7e-07 9.91e-01 1.664220177e+02 1.664220422e+02 5.8e-12 3.21
99 9.1e-09 1.1e-03 6.0e-07 9.78e-01 1.664220193e+02 1.664220414e+02 5.2e-12 3.25
100 8.2e-09 9.5e-04 5.4e-07 1.00e+00 1.664220208e+02 1.664220407e+02 4.7e-12 3.28
101 7.3e-09 8.5e-04 4.9e-07 1.05e+00 1.664220224e+02 1.664220399e+02 4.3e-12 3.31
102 6.6e-09 7.7e-04 4.4e-07 9.47e-01 1.664220236e+02 1.664220393e+02 3.9e-12 3.34
103 6.0e-09 6.9e-04 3.9e-07 8.97e-01 1.664220246e+02 1.664220389e+02 3.5e-12 3.38
104 5.4e-09 6.2e-04 3.5e-07 8.74e-01 1.664220255e+02 1.664220384e+02 3.2e-12 3.41
105 7.7e-09 4.0e-05 2.3e-08 8.28e-01 1.664220339e+02 1.664220348e+02 4.2e-13 3.43
Interior-point optimizer terminated. Time: 3.44.
Optimizer terminated. Time: 3.46
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203393e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6642203484e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.48 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 : Linux/64-X86
Cores : 20
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 : 20
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 : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285332516e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263506608e+05 3.573406118e+00 4.8e-01 0.08
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201229671e+05 1.024108790e+01 1.8e-01 0.11
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154146803e+05 6.438960695e+01 1.2e-01 0.14
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.128142003e+05 2.256492857e+03 1.2e-01 0.17
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.452154829e+04 9.623296711e+03 3.3e-02 0.20
6 3.0e+01 3.8e+01 1.7e+03 -1.92e-01 -4.039639886e+04 1.017306670e+04 1.3e-02 0.24
7 1.8e+01 2.3e+01 1.0e+03 3.96e-01 -2.710385859e+04 6.644084785e+03 7.9e-03 0.27
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.529785348e+04 3.811651887e+03 4.1e-03 0.30
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.370888383e+03 1.685462324e+03 1.5e-03 0.33
10 1.6e+00 2.1e+00 9.1e+01 9.54e-01 -2.488172975e+03 1.068023556e+03 7.3e-04 0.36
11 9.3e-01 1.2e+00 5.2e+01 9.86e-01 -1.337515247e+03 6.866497007e+02 4.1e-04 0.40
12 8.5e-01 1.1e+00 4.8e+01 9.60e-01 -1.253926638e+03 6.354841565e+02 3.8e-04 0.43
13 4.7e-01 6.1e-01 2.7e+01 9.77e-01 -6.373635014e+02 4.197157611e+02 2.1e-04 0.46
14 2.5e-01 3.3e-01 1.4e+01 1.00e+00 -2.541510394e+02 3.021240999e+02 1.1e-04 0.48
15 9.3e-02 1.5e-01 5.3e+00 1.00e+00 -3.966191235e+00 2.060663881e+02 4.3e-05 0.52
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.475268536e+01 2.084814386e+02 4.0e-05 0.55
17 6.0e-02 9.6e-02 3.4e+00 1.02e+00 6.117835478e+01 1.950768350e+02 2.8e-05 0.58
18 3.3e-02 7.2e-02 1.9e+00 1.02e+00 1.091852662e+02 1.824027232e+02 1.5e-05 0.61
19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.513703441e+02 1.718414201e+02 4.3e-06 0.64
20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602183644e+02 1.683899608e+02 1.7e-06 0.67
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642700003e+02 1.671903155e+02 6.2e-07 0.70
22 8.6e-04 1.0e-01 5.2e-02 9.84e-01 1.649681579e+02 1.669444007e+02 4.3e-07 0.73
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659690888e+02 1.665864867e+02 1.3e-07 0.76
24 9.4e-05 1.0e-01 6.1e-03 1.01e+00 1.662459028e+02 1.664756908e+02 5.1e-08 0.79
25 3.7e-05 9.5e-02 2.4e-03 1.01e+00 1.663440799e+02 1.664350962e+02 2.0e-08 0.82
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663785042e+02 1.664206579e+02 9.5e-09 0.85
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663820223e+02 1.664199767e+02 8.5e-09 0.89
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663846091e+02 1.664187606e+02 7.7e-09 0.92
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663869810e+02 1.664177120e+02 6.9e-09 0.94
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663891055e+02 1.664167591e+02 6.2e-09 0.98
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663910161e+02 1.664159007e+02 5.6e-09 1.01
32 9.1e-06 4.7e-02 5.9e-04 1.00e+00 1.663927335e+02 1.664151266e+02 5.0e-09 1.04
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663942773e+02 1.664144287e+02 4.5e-09 1.08
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663956653e+02 1.664137995e+02 4.1e-09 1.11
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969132e+02 1.664132325e+02 3.7e-09 1.14
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663980353e+02 1.664127213e+02 3.3e-09 1.17
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663990443e+02 1.664122607e+02 3.0e-09 1.20
38 4.8e-06 2.9e-02 3.2e-04 1.00e+00 1.663999516e+02 1.664118456e+02 2.7e-09 1.23
39 4.3e-06 2.6e-02 2.8e-04 1.00e+00 1.664007676e+02 1.664114715e+02 2.4e-09 1.26
40 3.9e-06 2.5e-02 2.6e-04 1.00e+00 1.664015014e+02 1.664111343e+02 2.2e-09 1.29
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664021613e+02 1.664108305e+02 2.0e-09 1.32
42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027548e+02 1.664105567e+02 1.8e-09 1.35
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664032885e+02 1.664103100e+02 1.6e-09 1.38
44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037686e+02 1.664100877e+02 1.4e-09 1.41
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042005e+02 1.664098875e+02 1.3e-09 1.45
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045890e+02 1.664097072e+02 1.2e-09 1.49
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049385e+02 1.664095447e+02 1.0e-09 1.53
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052529e+02 1.664093985e+02 9.4e-10 1.56
49 1.5e-06 1.4e-02 9.9e-05 1.00e+00 1.664055359e+02 1.664092668e+02 8.4e-10 1.60
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664057904e+02 1.664091482e+02 7.6e-10 1.63
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060194e+02 1.664090414e+02 6.8e-10 1.66
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062255e+02 1.664089452e+02 6.1e-10 1.69
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064109e+02 1.664088585e+02 5.5e-10 1.72
54 8.9e-07 1.2e-02 5.9e-05 1.00e+00 1.664065777e+02 1.664087805e+02 5.0e-10 1.74
55 8.0e-07 1.1e-02 5.3e-05 1.00e+00 1.664067277e+02 1.664087103e+02 4.5e-10 1.78
56 7.2e-07 1.1e-02 4.7e-05 9.99e-01 1.664068627e+02 1.664086471e+02 4.0e-10 1.82
57 6.5e-07 1.0e-02 4.3e-05 1.00e+00 1.664069842e+02 1.664085901e+02 3.6e-10 1.85
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664070934e+02 1.664085387e+02 3.3e-10 1.89
59 5.3e-07 9.9e-03 3.5e-05 1.00e+00 1.664071917e+02 1.664084925e+02 2.9e-10 1.92
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072801e+02 1.664084507e+02 2.6e-10 1.95
61 4.3e-07 9.5e-03 2.8e-05 1.00e+00 1.664073597e+02 1.664084132e+02 2.4e-10 1.99
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074312e+02 1.664083794e+02 2.1e-10 2.03
63 3.5e-07 9.1e-03 2.3e-05 1.00e+00 1.664074956e+02 1.664083489e+02 1.9e-10 2.06
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075535e+02 1.664083214e+02 1.7e-10 2.09
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076055e+02 1.664082966e+02 1.6e-10 2.13
66 2.5e-07 8.7e-03 1.7e-05 1.00e+00 1.664076524e+02 1.664082744e+02 1.4e-10 2.16
67 2.3e-07 8.6e-03 1.5e-05 9.99e-01 1.664076946e+02 1.664082544e+02 1.3e-10 2.19
68 2.0e-07 8.5e-03 1.3e-05 1.00e+00 1.664077325e+02 1.664082363e+02 1.1e-10 2.22
69 1.8e-07 8.4e-03 1.2e-05 1.00e+00 1.664077666e+02 1.664082200e+02 1.0e-10 2.25
70 1.7e-07 8.3e-03 1.1e-05 1.01e+00 1.664077975e+02 1.664082053e+02 9.2e-11 2.29
71 1.5e-07 8.3e-03 9.8e-06 1.01e+00 1.664078258e+02 1.664081917e+02 8.3e-11 2.32
72 1.3e-07 8.2e-03 8.8e-06 1.00e+00 1.664078506e+02 1.664081799e+02 7.5e-11 2.35
73 1.2e-07 8.2e-03 7.9e-06 1.00e+00 1.664078729e+02 1.664081693e+02 6.7e-11 2.40
74 1.1e-07 8.1e-03 7.1e-06 1.00e+00 1.664078930e+02 1.664081597e+02 6.1e-11 2.44
75 9.8e-08 8.0e-03 6.4e-06 1.00e+00 1.664079110e+02 1.664081511e+02 5.5e-11 2.47
76 8.8e-08 8.0e-03 5.8e-06 9.99e-01 1.664079273e+02 1.664081433e+02 4.9e-11 2.51
77 7.9e-08 7.9e-03 5.2e-06 1.00e+00 1.664079419e+02 1.664081364e+02 4.4e-11 2.54
78 7.1e-08 7.9e-03 4.7e-06 1.01e+00 1.664079553e+02 1.664081300e+02 4.0e-11 2.58
79 6.4e-08 7.9e-03 4.2e-06 9.98e-01 1.664079671e+02 1.664081243e+02 3.6e-11 2.61
80 5.8e-08 7.8e-03 3.8e-06 9.97e-01 1.664079777e+02 1.664081193e+02 3.2e-11 2.64
81 5.2e-08 7.8e-03 3.4e-06 9.99e-01 1.664079873e+02 1.664081147e+02 2.9e-11 2.68
82 4.7e-08 7.8e-03 3.1e-06 9.92e-01 1.664079959e+02 1.664081106e+02 2.6e-11 2.71
83 4.2e-08 7.7e-03 2.8e-06 1.00e+00 1.664080037e+02 1.664081069e+02 2.4e-11 2.75
84 3.8e-08 7.7e-03 2.5e-06 9.97e-01 1.664080107e+02 1.664081036e+02 2.1e-11 2.78
85 3.4e-08 6.9e-03 2.2e-06 1.02e+00 1.664080173e+02 1.664081004e+02 1.9e-11 2.82
86 3.1e-08 6.2e-03 2.0e-06 9.83e-01 1.664080230e+02 1.664080977e+02 1.7e-11 2.85
87 2.8e-08 5.6e-03 1.8e-06 1.01e+00 1.664080282e+02 1.664080952e+02 1.6e-11 2.88
88 2.5e-08 5.1e-03 1.6e-06 9.86e-01 1.664080327e+02 1.664080931e+02 1.4e-11 2.91
89 2.2e-08 4.6e-03 1.5e-06 1.02e+00 1.664080372e+02 1.664080909e+02 1.3e-11 2.95
90 2.0e-08 4.1e-03 1.3e-06 9.91e-01 1.664080408e+02 1.664080892e+02 1.1e-11 2.98
91 1.8e-08 3.7e-03 1.2e-06 9.86e-01 1.664080441e+02 1.664080876e+02 1.0e-11 3.01
92 1.6e-08 3.3e-03 1.1e-06 9.70e-01 1.664080470e+02 1.664080862e+02 9.3e-12 3.04
93 1.5e-08 3.0e-03 9.6e-07 9.81e-01 1.664080496e+02 1.664080850e+02 8.4e-12 3.08
94 1.3e-08 2.7e-03 8.7e-07 9.18e-01 1.664080520e+02 1.664080839e+02 7.5e-12 3.11
95 1.2e-08 2.4e-03 7.8e-07 8.59e-01 1.664080541e+02 1.664080830e+02 6.8e-12 3.14
96 1.1e-08 2.2e-03 7.0e-07 9.49e-01 1.664080560e+02 1.664080821e+02 6.1e-12 3.18
97 9.7e-09 2.0e-03 6.3e-07 9.52e-01 1.664080578e+02 1.664080813e+02 5.5e-12 3.20
98 8.8e-09 1.8e-03 5.7e-07 1.01e+00 1.664080594e+02 1.664080805e+02 5.0e-12 3.24
99 8.0e-09 1.6e-03 5.1e-07 9.95e-01 1.664080608e+02 1.664080798e+02 4.5e-12 3.27
100 7.3e-09 1.4e-03 4.6e-07 9.80e-01 1.664080621e+02 1.664080792e+02 4.0e-12 3.31
101 6.7e-09 1.3e-03 4.1e-07 8.87e-01 1.664080632e+02 1.664080787e+02 3.6e-12 3.34
102 6.0e-09 1.2e-03 3.7e-07 1.05e+00 1.664080645e+02 1.664080780e+02 3.3e-12 3.37
103 5.4e-09 1.0e-03 3.4e-07 1.09e+00 1.664080657e+02 1.664080773e+02 3.1e-12 3.40
104 5.2e-09 9.4e-04 3.0e-07 1.20e+00 1.664080672e+02 1.664080765e+02 3.1e-12 3.43
105 4.8e-09 8.4e-04 2.7e-07 1.24e+00 1.664080679e+02 1.664080761e+02 2.8e-12 3.47
106 4.6e-09 7.6e-04 2.4e-07 1.56e+00 1.664080685e+02 1.664080757e+02 2.5e-12 3.51
107 4.6e-09 7.6e-04 2.4e-07 1.11e+00 1.664080685e+02 1.664080757e+02 2.5e-12 3.54
108 4.6e-09 7.6e-04 2.4e-07 1.04e+00 1.664080685e+02 1.664080757e+02 2.5e-12 3.58
109 3.9e-09 6.8e-04 2.2e-07 9.30e-01 1.664080690e+02 1.664080755e+02 2.3e-12 3.61
110 3.7e-09 6.1e-04 2.0e-07 1.20e+00 1.664080694e+02 1.664080753e+02 2.0e-12 3.65
111 3.1e-09 5.5e-04 1.8e-07 9.43e-01 1.664080698e+02 1.664080751e+02 1.8e-12 3.68
112 2.8e-09 5.0e-04 1.6e-07 8.79e-01 1.664080702e+02 1.664080750e+02 1.7e-12 3.71
113 2.4e-09 5.7e-05 1.8e-08 8.11e-01 1.664080733e+02 1.664080738e+02 3.0e-13 3.75
Interior-point optimizer terminated. Time: 3.75.
Optimizer terminated. Time: 3.77
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807325e+02 Viol. con: 6e-08 var: 0e+00
Dual. obj: 1.6640807385e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.79 seconds.
Solving took 9 GP solves and 43.9 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: 1.495739100065498e+110 vs 1.49570631442e+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: 3.7053986681536396e+72 vs 3.7052472743e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682462]
Total Aircraft Weight Percent Diff: [-21.48057094]
Engine Weight Percent Diff: -56.27827028420582
Fuselage Weight Percent Diff: -0.8697391997087678
Payload Weight Percent Diff: [-0.04003561]
VT Weight Percent Diff: -8.607933732792148
HT Weight Percent Diff: -93.23330216275504
Wing Weight Percent Diff: 8.26749763689217
WING DIFFERENCES
Wing Span Percent Diff: -0.029993005926589888
Wing Area Percent Diff: 32.89982464760257
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.488790697078926
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022354607437647
VT Area Percent Diff: -60.38684825695155
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54720881]
L/D Percent Diff: [24.01022833]
Nacelle Cd Percent Diff: [-94.27641851]
HT Cd Percent Diff: [-80.76940313] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00296793] dimensionless
Wing Cd percent Diff: [-14.22916085]
Induced Drag Cd Percent Diff: [1.21947003]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035834]
FUSELAGE DIFFERENCES
Weight of HB material: -38.360958627855375
Weight of VB material: 87.81674644807528
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260516]
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 : Linux/64-X86
Cores : 20
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: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
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+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280976207e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.3e+04 -9.71e-01 -1.260360597e+05 3.611424052e+00 4.9e-01 0.23
2 4.1e+02 5.3e+02 2.3e+04 -9.38e-01 -1.195206719e+05 1.063331153e+01 1.8e-01 0.31
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.151942168e+05 6.795829655e+01 1.3e-01 0.35
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127212826e+05 2.109723808e+03 1.3e-01 0.39
5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.071413615e+04 8.411072422e+03 3.9e-02 0.42
6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.787028059e+04 1.016025756e+04 1.6e-02 0.46
7 2.1e+01 2.8e+01 1.2e+03 2.52e-01 -3.173778936e+04 7.155034269e+03 9.5e-03 0.49
8 9.4e+00 1.2e+01 5.3e+02 5.36e-01 -1.511150083e+04 4.167123567e+03 4.2e-03 0.52
9 5.5e+00 7.1e+00 3.1e+02 8.14e-01 -8.836155418e+03 2.832992813e+03 2.5e-03 0.55
10 1.3e+00 1.7e+00 7.6e+01 9.07e-01 -2.021517100e+03 9.278094940e+02 6.1e-04 0.60
11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.292899266e+02 7.204982019e+02 3.2e-04 0.63
12 4.7e-01 6.1e-01 2.7e+01 9.97e-01 -4.810408396e+02 5.632816117e+02 2.1e-04 0.66
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.119899248e+02 4.857188935e+02 1.6e-04 0.69
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.727746611e+01 3.656933383e+02 7.9e-05 0.72
15 5.5e-02 1.5e-01 3.2e+00 9.94e-01 1.624902967e+02 2.901499707e+02 2.7e-05 0.75
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.999027139e+02 2.746125040e+02 1.6e-05 0.79
17 5.1e-03 1.8e-01 3.2e-01 1.00e+00 2.445305033e+02 2.572371524e+02 2.8e-06 0.82
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509424510e+02 2.546897023e+02 8.3e-07 0.85
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527845502e+02 2.540210950e+02 2.8e-07 0.88
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532880856e+02 2.538352203e+02 1.2e-07 0.92
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533292209e+02 2.538216573e+02 1.1e-07 0.95
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533650962e+02 2.538082643e+02 1.0e-07 1.02
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533974267e+02 2.537962616e+02 9.0e-08 1.06
24 1.4e-04 5.9e-02 9.2e-03 1.00e+00 2.534264980e+02 2.537854354e+02 8.1e-08 1.09
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534526435e+02 2.537756756e+02 7.3e-08 1.12
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534761571e+02 2.537668764e+02 6.5e-08 1.15
27 1.0e-04 4.5e-02 6.7e-03 1.00e+00 2.534973060e+02 2.537589453e+02 5.9e-08 1.18
28 9.0e-05 4.1e-02 6.1e-03 1.00e+00 2.535163290e+02 2.537517978e+02 5.3e-08 1.23
29 8.1e-05 3.8e-02 5.4e-03 1.00e+00 2.535334405e+02 2.537453571e+02 4.8e-08 1.25
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535488334e+02 2.537395540e+02 4.3e-08 1.28
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535626808e+02 2.537343259e+02 3.9e-08 1.31
32 5.9e-05 3.0e-02 4.0e-03 1.00e+00 2.535751383e+02 2.537296160e+02 3.5e-08 1.34
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535863455e+02 2.537253733e+02 3.1e-08 1.37
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535964283e+02 2.537215516e+02 2.8e-08 1.40
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536054996e+02 2.537181092e+02 2.5e-08 1.43
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536136611e+02 2.537150087e+02 2.3e-08 1.46
37 3.5e-05 2.0e-02 2.3e-03 1.00e+00 2.536210041e+02 2.537122161e+02 2.1e-08 1.50
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276109e+02 2.537097011e+02 1.9e-08 1.53
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536335554e+02 2.537074361e+02 1.7e-08 1.56
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389040e+02 2.537053963e+02 1.5e-08 1.59
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536437166e+02 2.537035594e+02 1.3e-08 1.62
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536480470e+02 2.537019053e+02 1.2e-08 1.66
43 1.9e-05 1.4e-02 1.2e-03 1.00e+00 2.536519435e+02 2.537004159e+02 1.1e-08 1.69
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554497e+02 2.536990748e+02 9.8e-09 1.72
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586047e+02 2.536978672e+02 8.9e-09 1.78
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614438e+02 2.536967801e+02 8.0e-09 1.81
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536639986e+02 2.536958012e+02 7.2e-09 1.85
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536662977e+02 2.536949200e+02 6.5e-09 1.88
49 9.9e-06 1.1e-02 6.6e-04 1.00e+00 2.536683666e+02 2.536941267e+02 5.8e-09 1.91
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536702284e+02 2.536934125e+02 5.2e-09 1.94
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536719038e+02 2.536927696e+02 4.7e-09 1.97
52 7.2e-06 1.0e-02 4.8e-04 1.00e+00 2.536734116e+02 2.536921909e+02 4.2e-09 2.00
53 6.5e-06 9.9e-03 4.3e-04 1.00e+00 2.536747686e+02 2.536916699e+02 3.8e-09 2.03
54 5.8e-06 9.6e-03 3.9e-04 1.00e+00 2.536759897e+02 2.536912010e+02 3.4e-09 2.06
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770886e+02 2.536907788e+02 3.1e-09 2.09
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780776e+02 2.536903988e+02 2.8e-09 2.12
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789676e+02 2.536900567e+02 2.5e-09 2.17
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797685e+02 2.536897488e+02 2.3e-09 2.20
59 3.4e-06 8.7e-03 2.3e-04 1.00e+00 2.536804894e+02 2.536894716e+02 2.0e-09 2.23
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811380e+02 2.536892221e+02 1.8e-09 2.27
61 1.2e-06 3.3e-03 8.1e-05 1.00e+00 2.536846983e+02 2.536878513e+02 7.1e-10 2.30
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849266e+02 2.536877643e+02 6.4e-10 2.33
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862390e+02 2.536872586e+02 2.3e-10 2.36
64 3.5e-07 9.7e-04 2.4e-05 1.00e+00 2.536863126e+02 2.536872303e+02 2.1e-10 2.39
65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863789e+02 2.536872047e+02 1.9e-10 2.42
66 2.8e-07 7.9e-04 1.9e-05 1.00e+00 2.536864385e+02 2.536871817e+02 1.7e-10 2.45
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864921e+02 2.536871611e+02 1.5e-10 2.48
68 2.3e-07 6.4e-04 1.5e-05 1.00e+00 2.536865404e+02 2.536871424e+02 1.4e-10 2.51
69 2.1e-07 5.7e-04 1.4e-05 9.99e-01 2.536865838e+02 2.536871257e+02 1.2e-10 2.54
70 1.9e-07 5.2e-04 1.3e-05 9.99e-01 2.536866229e+02 2.536871106e+02 1.1e-10 2.57
71 1.7e-07 4.7e-04 1.1e-05 9.99e-01 2.536866581e+02 2.536870970e+02 9.9e-11 2.60
72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866897e+02 2.536870848e+02 8.9e-11 2.64
73 1.4e-07 3.8e-04 9.1e-06 9.99e-01 2.536867182e+02 2.536870738e+02 8.0e-11 2.67
74 1.2e-07 3.4e-04 8.2e-06 1.00e+00 2.536867439e+02 2.536870639e+02 7.2e-11 2.70
75 1.1e-07 3.1e-04 7.4e-06 1.00e+00 2.536867670e+02 2.536870550e+02 6.5e-11 2.73
76 9.9e-08 2.7e-04 6.7e-06 1.00e+00 2.536867877e+02 2.536870470e+02 5.8e-11 2.76
77 8.9e-08 2.5e-04 6.0e-06 9.99e-01 2.536868064e+02 2.536870398e+02 5.3e-11 2.79
78 8.0e-08 2.2e-04 5.4e-06 1.00e+00 2.536868233e+02 2.536870332e+02 4.7e-11 2.82
79 7.2e-08 2.0e-04 4.9e-06 1.00e+00 2.536868384e+02 2.536870274e+02 4.3e-11 2.85
80 6.5e-08 1.8e-04 4.4e-06 1.00e+00 2.536868521e+02 2.536870221e+02 3.8e-11 2.88
81 5.9e-08 1.6e-04 3.9e-06 9.97e-01 2.536868643e+02 2.536870174e+02 3.5e-11 2.91
82 5.3e-08 1.5e-04 3.5e-06 1.00e+00 2.536868754e+02 2.536870131e+02 3.1e-11 2.94
83 4.8e-08 1.3e-04 3.2e-06 1.00e+00 2.536868853e+02 2.536870093e+02 2.8e-11 2.97
84 4.3e-08 1.2e-04 2.9e-06 9.99e-01 2.536868942e+02 2.536870058e+02 2.5e-11 3.00
85 3.8e-08 1.1e-04 2.6e-06 1.00e+00 2.536869023e+02 2.536870027e+02 2.3e-11 3.03
86 3.5e-08 9.6e-05 2.3e-06 1.01e+00 2.536869097e+02 2.536869998e+02 2.0e-11 3.06
87 3.1e-08 8.6e-05 2.1e-06 9.97e-01 2.536869162e+02 2.536869973e+02 1.8e-11 3.09
88 2.8e-08 7.8e-05 1.9e-06 1.01e+00 2.536869221e+02 2.536869950e+02 1.7e-11 3.12
89 2.5e-08 7.0e-05 1.7e-06 9.99e-01 2.536869274e+02 2.536869929e+02 1.5e-11 3.15
90 2.3e-08 6.3e-05 1.5e-06 1.00e+00 2.536869321e+02 2.536869911e+02 1.3e-11 3.18
91 2.0e-08 5.7e-05 1.4e-06 9.98e-01 2.536869364e+02 2.536869895e+02 1.2e-11 3.21
92 1.8e-08 5.1e-05 1.2e-06 1.01e+00 2.536869403e+02 2.536869879e+02 1.1e-11 3.24
93 1.7e-08 4.6e-05 1.1e-06 1.00e+00 2.536869438e+02 2.536869866e+02 9.8e-12 3.27
94 1.5e-08 4.1e-05 1.0e-06 9.99e-01 2.536869469e+02 2.536869854e+02 8.9e-12 3.30
95 1.3e-08 3.7e-05 9.0e-07 1.00e+00 2.536869497e+02 2.536869843e+02 8.0e-12 3.33
96 1.2e-08 3.3e-05 8.1e-07 9.88e-01 2.536869522e+02 2.536869834e+02 7.2e-12 3.36
97 1.1e-08 3.0e-05 7.3e-07 1.00e+00 2.536869544e+02 2.536869825e+02 6.5e-12 3.39
98 9.8e-09 2.7e-05 6.6e-07 9.99e-01 2.536869564e+02 2.536869817e+02 5.8e-12 3.42
Interior-point optimizer terminated. Time: 3.43.
Optimizer terminated. Time: 3.45
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695643e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698170e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.47 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 : Linux/64-X86
Cores : 20
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 : 20
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 : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281787446e+05 2.000000000e+00 1.0e+00 0.10
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.259414228e+05 3.780941016e+00 4.7e-01 0.14
2 4.6e+02 5.9e+02 2.6e+04 -9.35e-01 -1.205918795e+05 9.868922465e+00 2.0e-01 0.18
3 2.9e+02 3.7e+02 1.6e+04 -8.50e-01 -1.154239527e+05 5.250197663e+01 1.3e-01 0.21
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.133019475e+05 1.862130071e+03 1.3e-01 0.24
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.812142136e+04 9.031239866e+03 3.6e-02 0.27
6 3.6e+01 4.6e+01 2.0e+03 -2.53e-01 -4.675648570e+04 1.010078030e+04 1.6e-02 0.30
7 1.9e+01 2.4e+01 1.0e+03 2.76e-01 -2.801894167e+04 6.402312625e+03 8.2e-03 0.34
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.471216456e+04 4.005088027e+03 4.0e-03 0.37
9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.206577732e+03 2.776623691e+03 2.5e-03 0.39
10 1.9e+00 2.4e+00 1.1e+02 9.02e-01 -2.967188366e+03 1.150548946e+03 8.4e-04 0.42
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.411824612e+03 1.013250385e+03 7.0e-04 0.45
12 1.0e+00 1.4e+00 5.6e+01 9.78e-01 -1.467425682e+03 7.220755366e+02 4.4e-04 0.48
13 4.6e-01 6.8e-01 2.6e+01 9.83e-01 -5.896882974e+02 4.319681419e+02 2.1e-04 0.52
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.320840677e+02 3.288887944e+02 1.1e-04 0.55
15 1.0e-01 1.6e-01 5.7e+00 1.00e+00 1.044652088e+01 2.360029536e+02 4.6e-05 0.58
16 4.7e-02 1.0e-01 2.7e+00 1.00e+00 9.574903265e+01 2.020284238e+02 2.2e-05 0.60
17 1.0e-02 1.4e-01 6.2e-01 1.01e+00 1.548431135e+02 1.790677315e+02 5.2e-06 0.63
18 6.3e-03 1.0e-01 3.9e-01 1.01e+00 1.614292041e+02 1.765011124e+02 3.2e-06 0.65
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.695627746e+02 1.734405846e+02 8.5e-07 0.68
20 3.4e-04 1.4e-01 2.2e-02 1.01e+00 1.717721239e+02 1.726293360e+02 1.9e-07 0.71
21 1.4e-04 1.0e-01 9.5e-03 9.94e-01 1.721372136e+02 1.725037900e+02 8.3e-08 0.74
22 8.9e-05 8.2e-02 6.0e-03 1.00e+00 1.722347054e+02 1.724653290e+02 5.2e-08 0.77
23 8.0e-05 7.6e-02 5.4e-03 1.00e+00 1.722527902e+02 1.724604211e+02 4.7e-08 0.80
24 7.2e-05 6.9e-02 4.8e-03 1.00e+00 1.722680410e+02 1.724549096e+02 4.2e-08 0.83
25 6.5e-05 6.3e-02 4.3e-03 1.00e+00 1.722818157e+02 1.724499965e+02 3.8e-08 0.86
26 5.9e-05 5.7e-02 3.9e-03 1.00e+00 1.722941841e+02 1.724455454e+02 3.4e-08 0.89
27 5.3e-05 5.2e-02 3.5e-03 1.00e+00 1.723053032e+02 1.724415268e+02 3.1e-08 0.92
28 4.7e-05 4.8e-02 3.2e-03 1.00e+00 1.723152953e+02 1.724378950e+02 2.8e-08 0.94
29 4.3e-05 4.4e-02 2.8e-03 1.00e+00 1.723242746e+02 1.724346129e+02 2.5e-08 0.97
30 3.8e-05 4.0e-02 2.6e-03 1.00e+00 1.723323436e+02 1.724316468e+02 2.2e-08 1.00
31 3.5e-05 3.7e-02 2.3e-03 1.00e+00 1.723395948e+02 1.724289667e+02 2.0e-08 1.03
32 3.1e-05 3.4e-02 2.1e-03 1.00e+00 1.723461118e+02 1.724265456e+02 1.8e-08 1.06
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723519694e+02 1.724243591e+02 1.6e-08 1.09
34 2.5e-05 2.9e-02 1.7e-03 1.00e+00 1.723572350e+02 1.724223851e+02 1.5e-08 1.12
35 2.3e-05 2.7e-02 1.5e-03 1.00e+00 1.723619689e+02 1.724206035e+02 1.3e-08 1.15
36 2.0e-05 2.5e-02 1.4e-03 1.00e+00 1.723662252e+02 1.724189960e+02 1.2e-08 1.17
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723700524e+02 1.724175459e+02 1.1e-08 1.20
38 1.7e-05 2.2e-02 1.1e-03 1.00e+00 1.723734941e+02 1.724162381e+02 9.7e-09 1.23
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723765893e+02 1.724150587e+02 8.7e-09 1.26
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723793729e+02 1.724139953e+02 7.8e-09 1.28
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723818766e+02 1.724130367e+02 7.1e-09 1.31
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723841285e+02 1.724121726e+02 6.4e-09 1.34
43 9.8e-06 1.6e-02 6.5e-04 1.00e+00 1.723861540e+02 1.724113937e+02 5.7e-09 1.37
44 8.8e-06 1.5e-02 5.9e-04 1.00e+00 1.723879760e+02 1.724106918e+02 5.1e-09 1.40
45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723896151e+02 1.724100593e+02 4.6e-09 1.43
46 7.1e-06 1.4e-02 4.8e-04 1.00e+00 1.723910895e+02 1.724094893e+02 4.2e-09 1.46
47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723924159e+02 1.724089758e+02 3.8e-09 1.48
48 5.8e-06 1.3e-02 3.9e-04 1.00e+00 1.723936092e+02 1.724085132e+02 3.4e-09 1.51
49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723946828e+02 1.724080964e+02 3.0e-09 1.53
50 4.7e-06 1.2e-02 3.1e-04 1.00e+00 1.723956487e+02 1.724077210e+02 2.7e-09 1.56
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965177e+02 1.724073828e+02 2.5e-09 1.60
52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723972996e+02 1.724070782e+02 2.2e-09 1.63
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980031e+02 1.724068039e+02 2.0e-09 1.66
54 3.1e-06 1.0e-02 2.0e-04 1.00e+00 1.723986361e+02 1.724065569e+02 1.8e-09 1.70
55 2.8e-06 1.0e-02 1.8e-04 1.00e+00 1.723992056e+02 1.724063344e+02 1.6e-09 1.73
56 2.5e-06 9.7e-03 1.7e-04 1.00e+00 1.723997181e+02 1.724061340e+02 1.5e-09 1.76
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001793e+02 1.724059536e+02 1.3e-09 1.79
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724005942e+02 1.724057911e+02 1.2e-09 1.82
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009676e+02 1.724056448e+02 1.1e-09 1.84
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013036e+02 1.724055131e+02 9.5e-10 1.87
61 1.5e-06 8.8e-03 9.8e-05 1.00e+00 1.724016059e+02 1.724053945e+02 8.6e-10 1.90
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018779e+02 1.724052877e+02 7.7e-10 1.93
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021227e+02 1.724051916e+02 7.0e-10 1.96
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023430e+02 1.724051050e+02 6.3e-10 1.99
65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025412e+02 1.724050270e+02 5.6e-10 2.01
66 8.7e-07 8.3e-03 5.8e-05 1.00e+00 1.724027196e+02 1.724049568e+02 5.1e-10 2.04
67 7.8e-07 8.2e-03 5.2e-05 1.00e+00 1.724028801e+02 1.724048936e+02 4.6e-10 2.06
68 7.0e-07 8.1e-03 4.7e-05 1.00e+00 1.724030246e+02 1.724048367e+02 4.1e-10 2.09
69 6.3e-07 8.0e-03 4.2e-05 1.00e+00 1.724031546e+02 1.724047855e+02 3.7e-10 2.12
70 5.7e-07 8.0e-03 3.8e-05 1.00e+00 1.724032715e+02 1.724047394e+02 3.3e-10 2.15
71 5.1e-07 7.9e-03 3.4e-05 1.00e+00 1.724033768e+02 1.724046979e+02 3.0e-10 2.18
72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034715e+02 1.724046605e+02 2.7e-10 2.21
73 4.1e-07 7.8e-03 2.8e-05 1.00e+00 1.724035568e+02 1.724046269e+02 2.4e-10 2.24
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036335e+02 1.724045965e+02 2.2e-10 2.27
75 3.4e-07 7.7e-03 2.2e-05 1.00e+00 1.724037025e+02 1.724045693e+02 2.0e-10 2.30
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037646e+02 1.724045447e+02 1.8e-10 2.33
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038205e+02 1.724045226e+02 1.6e-10 2.35
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038708e+02 1.724045027e+02 1.4e-10 2.38
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039161e+02 1.724044848e+02 1.3e-10 2.41
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039568e+02 1.724044686e+02 1.2e-10 2.44
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039934e+02 1.724044541e+02 1.0e-10 2.47
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040264e+02 1.724044410e+02 9.4e-11 2.50
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040561e+02 1.724044293e+02 8.5e-11 2.53
84 1.3e-07 7.5e-03 8.7e-06 1.00e+00 1.724040828e+02 1.724044186e+02 7.6e-11 2.56
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041069e+02 1.724044091e+02 6.9e-11 2.58
86 1.1e-07 7.4e-03 7.0e-06 1.00e+00 1.724041285e+02 1.724044005e+02 6.2e-11 2.62
87 9.5e-08 7.4e-03 6.3e-06 1.00e+00 1.724041480e+02 1.724043928e+02 5.6e-11 2.64
88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041655e+02 1.724043858e+02 5.0e-11 2.67
89 7.7e-08 7.4e-03 5.1e-06 1.00e+00 1.724041813e+02 1.724043795e+02 4.5e-11 2.70
90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041954e+02 1.724043739e+02 4.0e-11 2.73
91 6.2e-08 7.4e-03 4.2e-06 1.00e+00 1.724042082e+02 1.724043688e+02 3.6e-11 2.76
92 5.6e-08 7.3e-03 3.7e-06 1.00e+00 1.724042197e+02 1.724043643e+02 3.3e-11 2.79
93 5.0e-08 7.3e-03 3.4e-06 9.99e-01 1.724042300e+02 1.724043601e+02 3.0e-11 2.82
94 4.5e-08 7.3e-03 3.0e-06 1.00e+00 1.724042394e+02 1.724043564e+02 2.7e-11 2.85
95 4.1e-08 7.3e-03 2.7e-06 1.00e+00 1.724042477e+02 1.724043531e+02 2.4e-11 2.88
96 3.7e-08 7.3e-03 2.5e-06 9.98e-01 1.724042553e+02 1.724043501e+02 2.2e-11 2.91
97 3.3e-08 7.3e-03 2.2e-06 1.00e+00 1.724042620e+02 1.724043474e+02 1.9e-11 2.94
98 3.0e-08 7.3e-03 2.0e-06 1.00e+00 1.724042681e+02 1.724043450e+02 1.7e-11 2.97
99 2.7e-08 7.3e-03 1.8e-06 1.00e+00 1.724042736e+02 1.724043428e+02 1.6e-11 3.00
100 2.4e-08 6.5e-03 1.6e-06 1.00e+00 1.724042786e+02 1.724043408e+02 1.4e-11 3.03
101 2.2e-08 5.9e-03 1.4e-06 1.00e+00 1.724042831e+02 1.724043390e+02 1.3e-11 3.06
102 2.0e-08 5.3e-03 1.3e-06 9.99e-01 1.724042871e+02 1.724043374e+02 1.1e-11 3.09
103 1.8e-08 4.8e-03 1.2e-06 1.00e+00 1.724042907e+02 1.724043360e+02 1.0e-11 3.13
104 1.6e-08 4.3e-03 1.1e-06 1.01e+00 1.724042940e+02 1.724043346e+02 9.3e-12 3.16
105 3.9e-09 1.1e-03 2.6e-07 1.00e+00 1.724043157e+02 1.724043259e+02 2.3e-12 3.19
106 3.6e-09 9.6e-04 2.4e-07 1.00e+00 1.724043165e+02 1.724043256e+02 2.1e-12 3.22
107 7.8e-10 2.1e-04 5.1e-08 9.88e-01 1.724043216e+02 1.724043236e+02 4.6e-13 3.25
Interior-point optimizer terminated. Time: 3.25.
Optimizer terminated. Time: 3.28
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432160e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432359e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.3 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 : Linux/64-X86
Cores : 20
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 : 20
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 : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.284360413e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.262635405e+05 3.636950318e+00 4.8e-01 0.13
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203755996e+05 1.002096577e+01 1.9e-01 0.16
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.156270295e+05 5.939414691e+01 1.3e-01 0.19
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131819783e+05 2.127639769e+03 1.3e-01 0.24
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.750682917e+04 9.253683383e+03 3.6e-02 0.28
6 4.0e+01 5.2e+01 2.2e+03 -2.39e-01 -5.068254312e+04 1.003928723e+04 1.8e-02 0.31
7 3.0e+01 3.9e+01 1.7e+03 2.16e-01 -4.166618741e+04 8.309958743e+03 1.3e-02 0.34
8 1.9e+01 2.4e+01 1.0e+03 3.78e-01 -2.878108376e+04 5.414643607e+03 8.2e-03 0.37
9 8.0e+00 1.0e+01 4.4e+02 5.99e-01 -1.315965999e+04 3.160785965e+03 3.5e-03 0.40
10 4.0e+00 5.1e+00 2.2e+02 8.45e-01 -6.347188805e+03 2.138383022e+03 1.8e-03 0.43
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.502124327e+03 1.318840464e+03 9.9e-04 0.47
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.332365319e+03 6.477128600e+02 4.1e-04 0.50
13 8.3e-01 1.1e+00 4.6e+01 9.70e-01 -1.217516395e+03 6.005384170e+02 3.7e-04 0.53
14 5.9e-01 7.7e-01 3.3e+01 9.74e-01 -8.114698438e+02 4.901686844e+02 2.6e-04 0.56
15 2.1e-01 7.5e-01 1.2e+01 9.90e-01 -1.973509879e+02 2.838925614e+02 9.8e-05 0.58
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.194811857e+01 2.162406261e+02 4.9e-05 0.61
17 7.7e-02 2.8e-01 4.4e+00 1.01e+00 2.773537246e+01 2.014213349e+02 3.6e-05 0.63
18 5.2e-02 2.0e-01 3.0e+00 1.02e+00 7.871294194e+01 1.952117976e+02 2.4e-05 0.66
19 1.5e-02 1.1e-01 8.7e-01 1.00e+00 1.409223647e+02 1.747335735e+02 7.0e-06 0.69
20 4.0e-03 2.2e-01 2.5e-01 1.02e+00 1.602100315e+02 1.696953142e+02 2.0e-06 0.72
21 2.7e-03 2.2e-01 1.7e-01 1.01e+00 1.623237374e+02 1.687770989e+02 1.3e-06 0.76
22 2.0e-03 1.6e-01 1.2e-01 1.00e+00 1.636802070e+02 1.683152486e+02 9.7e-07 0.79
23 7.7e-04 9.6e-02 4.8e-02 1.01e+00 1.657770308e+02 1.676106464e+02 3.9e-07 0.81
24 3.6e-04 8.1e-02 2.3e-02 1.01e+00 1.664801351e+02 1.673455450e+02 1.8e-07 0.84
25 1.5e-04 8.1e-02 9.7e-03 1.01e+00 1.668359696e+02 1.672047012e+02 7.9e-08 0.88
26 1.4e-04 7.4e-02 8.7e-03 1.01e+00 1.668663894e+02 1.671983756e+02 7.1e-08 0.90
27 1.2e-04 6.7e-02 7.8e-03 1.01e+00 1.668896143e+02 1.671882822e+02 6.4e-08 0.93
28 1.1e-04 6.2e-02 7.0e-03 1.01e+00 1.669107990e+02 1.671795199e+02 5.8e-08 0.96
29 1.0e-04 5.6e-02 6.3e-03 1.01e+00 1.669296971e+02 1.671714767e+02 5.2e-08 0.99
30 9.0e-05 5.1e-02 5.7e-03 1.01e+00 1.669466503e+02 1.671641957e+02 4.7e-08 1.02
31 8.1e-05 4.7e-02 5.1e-03 1.01e+00 1.669618542e+02 1.671575988e+02 4.2e-08 1.05
32 7.3e-05 4.3e-02 4.6e-03 1.01e+00 1.669754951e+02 1.671516276e+02 3.8e-08 1.08
33 6.5e-05 4.0e-02 4.2e-03 1.01e+00 1.669877360e+02 1.671462246e+02 3.4e-08 1.10
34 5.9e-05 3.6e-02 3.7e-03 1.01e+00 1.669987223e+02 1.671413370e+02 3.1e-08 1.14
35 5.3e-05 3.4e-02 3.4e-03 1.00e+00 1.670085840e+02 1.671369170e+02 2.8e-08 1.16
36 4.8e-05 3.1e-02 3.0e-03 1.00e+00 1.670174375e+02 1.671329209e+02 2.5e-08 1.20
37 4.3e-05 2.9e-02 2.7e-03 1.00e+00 1.670253870e+02 1.671293089e+02 2.2e-08 1.22
38 3.9e-05 2.7e-02 2.5e-03 1.00e+00 1.670325255e+02 1.671260447e+02 2.0e-08 1.25
39 3.5e-05 2.5e-02 2.2e-03 1.00e+00 1.670389368e+02 1.671230955e+02 1.8e-08 1.28
40 3.1e-05 2.3e-02 2.0e-03 1.00e+00 1.670446954e+02 1.671204314e+02 1.6e-08 1.31
41 2.8e-05 2.2e-02 1.8e-03 1.00e+00 1.670498685e+02 1.671180255e+02 1.5e-08 1.33
42 2.5e-05 2.0e-02 1.6e-03 1.00e+00 1.670545161e+02 1.671158529e+02 1.3e-08 1.36
43 2.3e-05 1.9e-02 1.5e-03 1.00e+00 1.670586919e+02 1.671138916e+02 1.2e-08 1.39
44 2.1e-05 1.8e-02 1.3e-03 1.00e+00 1.670624442e+02 1.671121212e+02 1.1e-08 1.42
45 1.8e-05 1.7e-02 1.2e-03 1.00e+00 1.670658163e+02 1.671105234e+02 9.6e-09 1.45
46 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.670688470e+02 1.671090816e+02 8.7e-09 1.48
47 1.5e-05 1.5e-02 9.5e-04 1.00e+00 1.670715711e+02 1.671077808e+02 7.8e-09 1.51
48 1.3e-05 1.4e-02 8.6e-04 1.00e+00 1.670740197e+02 1.671066075e+02 7.0e-09 1.54
49 1.2e-05 1.4e-02 7.7e-04 1.00e+00 1.670762210e+02 1.671055491e+02 6.3e-09 1.57
50 1.1e-05 1.3e-02 6.9e-04 1.00e+00 1.670782000e+02 1.671045947e+02 5.7e-09 1.61
51 9.8e-06 1.3e-02 6.2e-04 1.00e+00 1.670799793e+02 1.671037340e+02 5.1e-09 1.64
52 8.8e-06 1.2e-02 5.6e-04 1.00e+00 1.670815793e+02 1.671029580e+02 4.6e-09 1.67
53 8.0e-06 1.2e-02 5.1e-04 1.00e+00 1.670830180e+02 1.671022586e+02 4.2e-09 1.70
54 7.2e-06 1.1e-02 4.6e-04 1.00e+00 1.670843118e+02 1.671016281e+02 3.7e-09 1.74
55 6.4e-06 1.1e-02 4.1e-04 1.00e+00 1.670854755e+02 1.671010599e+02 3.4e-09 1.77
56 5.8e-06 1.1e-02 3.7e-04 1.00e+00 1.670865220e+02 1.671005478e+02 3.0e-09 1.80
57 5.2e-06 1.0e-02 3.3e-04 1.00e+00 1.670874633e+02 1.671000864e+02 2.7e-09 1.84
58 1.6e-06 3.3e-03 1.1e-04 1.00e+00 1.670932310e+02 1.670972285e+02 8.6e-10 1.87
59 1.5e-06 3.0e-03 9.5e-05 1.00e+00 1.670934999e+02 1.670970978e+02 7.8e-10 1.91
60 1.3e-06 2.7e-03 8.5e-05 1.00e+00 1.670937437e+02 1.670969820e+02 7.0e-10 1.94
61 5.3e-07 1.1e-03 3.4e-05 1.00e+00 1.670950395e+02 1.670963301e+02 2.8e-10 1.97
62 4.8e-07 9.6e-04 3.1e-05 1.00e+00 1.670951280e+02 1.670962894e+02 2.5e-10 1.99
63 4.3e-07 8.6e-04 2.8e-05 1.00e+00 1.670952052e+02 1.670962503e+02 2.3e-10 2.02
64 3.9e-07 7.7e-04 2.5e-05 1.00e+00 1.670952747e+02 1.670962152e+02 2.0e-10 2.06
65 3.5e-07 7.0e-04 2.2e-05 1.00e+00 1.670953371e+02 1.670961837e+02 1.8e-10 2.08
66 3.1e-07 6.3e-04 2.0e-05 1.00e+00 1.670953933e+02 1.670961552e+02 1.6e-10 2.12
67 2.8e-07 5.6e-04 1.8e-05 1.00e+00 1.670954439e+02 1.670961296e+02 1.5e-10 2.15
68 2.5e-07 5.1e-04 1.6e-05 1.00e+00 1.670954894e+02 1.670961065e+02 1.3e-10 2.18
69 2.3e-07 4.6e-04 1.5e-05 1.00e+00 1.670955303e+02 1.670960856e+02 1.2e-10 2.21
70 2.1e-07 4.1e-04 1.3e-05 1.00e+00 1.670955671e+02 1.670960669e+02 1.1e-10 2.24
71 1.8e-07 3.7e-04 1.2e-05 1.00e+00 1.670956002e+02 1.670960500e+02 9.7e-11 2.28
72 1.7e-07 3.3e-04 1.1e-05 9.97e-01 1.670956300e+02 1.670960349e+02 8.7e-11 2.31
73 1.5e-07 3.0e-04 9.6e-06 9.99e-01 1.670956568e+02 1.670960212e+02 7.9e-11 2.34
74 1.3e-07 2.7e-04 8.6e-06 1.00e+00 1.670956811e+02 1.670960088e+02 7.1e-11 2.38
75 1.2e-07 2.4e-04 7.8e-06 1.00e+00 1.670957028e+02 1.670959977e+02 6.4e-11 2.41
76 1.1e-07 2.2e-04 7.0e-06 1.01e+00 1.670957229e+02 1.670959874e+02 5.8e-11 2.44
77 9.8e-08 2.0e-04 6.3e-06 1.01e+00 1.670957407e+02 1.670959783e+02 5.2e-11 2.47
78 8.8e-08 1.8e-04 5.7e-06 1.00e+00 1.670957564e+02 1.670959703e+02 4.7e-11 2.51
79 8.0e-08 1.6e-04 5.1e-06 9.83e-01 1.670957705e+02 1.670959632e+02 4.2e-11 2.54
80 7.2e-08 1.4e-04 4.6e-06 1.01e+00 1.670957835e+02 1.670959565e+02 3.8e-11 2.57
81 6.5e-08 1.3e-04 4.1e-06 9.95e-01 1.670957950e+02 1.670959507e+02 3.4e-11 2.61
82 5.8e-08 1.2e-04 3.7e-06 1.00e+00 1.670958053e+02 1.670959454e+02 3.1e-11 2.64
83 5.2e-08 1.0e-04 3.3e-06 1.01e+00 1.670958148e+02 1.670959405e+02 2.8e-11 2.67
84 4.7e-08 9.4e-05 3.0e-06 1.02e+00 1.670958236e+02 1.670959360e+02 2.5e-11 2.70
85 4.2e-08 8.5e-05 2.7e-06 9.93e-01 1.670958311e+02 1.670959322e+02 2.3e-11 2.74
86 3.8e-08 7.6e-05 2.4e-06 1.01e+00 1.670958379e+02 1.670959287e+02 2.0e-11 2.77
87 3.4e-08 6.9e-05 2.2e-06 1.02e+00 1.670958443e+02 1.670959254e+02 1.8e-11 2.80
88 3.1e-08 6.2e-05 2.0e-06 9.92e-01 1.670958497e+02 1.670959227e+02 1.7e-11 2.84
89 2.8e-08 5.6e-05 1.8e-06 1.02e+00 1.670958549e+02 1.670959200e+02 1.5e-11 2.89
90 2.5e-08 5.0e-05 1.6e-06 1.01e+00 1.670958595e+02 1.670959176e+02 1.4e-11 2.92
91 2.3e-08 4.5e-05 1.4e-06 1.03e+00 1.670958637e+02 1.670959154e+02 1.2e-11 2.96
92 2.0e-08 4.1e-05 1.3e-06 9.95e-01 1.670958672e+02 1.670959137e+02 1.1e-11 2.98
93 1.8e-08 3.6e-05 1.2e-06 1.10e+00 1.670958717e+02 1.670959112e+02 1.1e-11 3.02
94 1.6e-08 3.3e-05 1.0e-06 1.04e+00 1.670958747e+02 1.670959096e+02 9.7e-12 3.05
95 1.5e-08 3.0e-05 9.4e-07 1.02e+00 1.670958772e+02 1.670959083e+02 8.8e-12 3.08
Interior-point optimizer terminated. Time: 3.08.
Optimizer terminated. Time: 3.11
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587725e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709590833e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.13 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 : Linux/64-X86
Cores : 20
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 : 20
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 : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281650031e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260064484e+05 3.586598073e+00 4.8e-01 0.11
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.201037428e+05 9.955029920e+00 1.9e-01 0.15
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.153210056e+05 5.962247019e+01 1.3e-01 0.18
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.127513386e+05 2.237151821e+03 1.3e-01 0.21
5 7.6e+01 9.7e+01 4.2e+03 -7.55e-01 -7.475752538e+04 9.749523105e+03 3.3e-02 0.25
6 3.7e+01 4.7e+01 2.0e+03 -2.00e-01 -4.738515420e+04 1.028817136e+04 1.6e-02 0.28
7 2.3e+01 3.0e+01 1.3e+03 2.71e-01 -3.362160819e+04 7.292170877e+03 1.0e-02 0.31
8 1.4e+01 1.7e+01 7.6e+02 5.18e-01 -2.155807252e+04 4.842491381e+03 6.0e-03 0.34
9 5.4e+00 6.9e+00 3.0e+02 7.18e-01 -8.872510777e+03 2.461233908e+03 2.4e-03 0.37
10 2.4e+00 3.1e+00 1.4e+02 9.11e-01 -3.777325957e+03 1.422692360e+03 1.1e-03 0.40
11 1.8e+00 2.3e+00 1.0e+02 9.74e-01 -2.754276496e+03 1.093074205e+03 7.9e-04 0.44
12 8.1e-01 1.0e+00 4.6e+01 9.82e-01 -1.172187047e+03 5.956572092e+02 3.6e-04 0.47
13 7.5e-01 1.1e+00 4.2e+01 9.46e-01 -1.100303153e+03 5.584999161e+02 3.4e-04 0.50
14 6.2e-01 8.9e-01 3.5e+01 9.87e-01 -8.693299148e+02 5.054054018e+02 2.8e-04 0.53
15 1.8e-01 2.9e-01 1.0e+01 9.89e-01 -1.579525512e+02 2.544986506e+02 8.4e-05 0.56
16 1.0e-01 1.8e-01 5.8e+00 1.01e+00 -1.917036575e+01 2.099840094e+02 4.7e-05 0.59
17 1.0e-01 1.8e-01 5.8e+00 1.02e+00 -1.750106813e+01 2.103208240e+02 4.7e-05 0.62
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.630741709e+01 2.107226905e+02 4.0e-05 0.66
19 4.3e-02 9.8e-02 2.5e+00 1.01e+00 9.144559197e+01 1.875633394e+02 2.0e-05 0.69
20 1.2e-02 1.6e-01 7.1e-01 1.01e+00 1.464223199e+02 1.736011809e+02 5.7e-06 0.72
21 4.7e-03 3.6e-01 2.8e-01 1.01e+00 1.584910433e+02 1.691032121e+02 2.3e-06 0.75
22 1.2e-03 1.8e-01 7.5e-02 1.01e+00 1.645724832e+02 1.674403821e+02 6.1e-07 0.78
23 6.6e-04 1.2e-01 4.1e-02 9.80e-01 1.655128193e+02 1.670779590e+02 3.4e-07 0.82
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662879381e+02 1.667831359e+02 1.1e-07 0.85
25 6.9e-05 1.0e-01 4.5e-03 1.01e+00 1.665171013e+02 1.666889250e+02 3.8e-08 0.88
26 3.1e-05 8.7e-02 2.1e-03 1.01e+00 1.665829611e+02 1.666610875e+02 1.8e-08 0.92
27 2.8e-05 7.9e-02 1.9e-03 1.01e+00 1.665892614e+02 1.666595803e+02 1.6e-08 0.95
28 2.5e-05 7.2e-02 1.7e-03 1.00e+00 1.665940968e+02 1.666573668e+02 1.4e-08 0.98
29 2.3e-05 6.6e-02 1.5e-03 1.00e+00 1.665985127e+02 1.666554474e+02 1.3e-08 1.02
30 2.0e-05 6.0e-02 1.4e-03 1.00e+00 1.666024743e+02 1.666537078e+02 1.1e-08 1.05
31 1.8e-05 5.5e-02 1.2e-03 1.00e+00 1.666060354e+02 1.666521392e+02 1.0e-08 1.08
32 1.7e-05 5.0e-02 1.1e-03 1.00e+00 1.666092355e+02 1.666507236e+02 9.3e-09 1.10
33 1.5e-05 4.6e-02 9.9e-04 1.00e+00 1.666121116e+02 1.666494466e+02 8.4e-09 1.13
34 1.3e-05 4.2e-02 8.9e-04 1.00e+00 1.666146968e+02 1.666482947e+02 7.5e-09 1.16
35 1.2e-05 3.9e-02 8.0e-04 1.00e+00 1.666170205e+02 1.666472557e+02 6.8e-09 1.19
36 1.1e-05 3.5e-02 7.2e-04 1.00e+00 1.666191094e+02 1.666463187e+02 6.1e-09 1.22
37 9.8e-06 3.3e-02 6.5e-04 1.00e+00 1.666209873e+02 1.666454738e+02 5.5e-09 1.25
38 8.8e-06 3.0e-02 5.9e-04 1.00e+00 1.666226756e+02 1.666447119e+02 5.0e-09 1.28
39 7.9e-06 2.8e-02 5.3e-04 1.00e+00 1.666241936e+02 1.666440249e+02 4.5e-09 1.31
40 7.1e-06 2.6e-02 4.7e-04 1.00e+00 1.666255584e+02 1.666434055e+02 4.0e-09 1.34
41 6.4e-06 2.4e-02 4.3e-04 1.00e+00 1.666267856e+02 1.666428472e+02 3.6e-09 1.37
42 5.8e-06 2.3e-02 3.8e-04 1.00e+00 1.666278891e+02 1.666423439e+02 3.3e-09 1.40
43 5.2e-06 2.1e-02 3.5e-04 1.00e+00 1.666288814e+02 1.666418902e+02 2.9e-09 1.44
44 4.7e-06 2.0e-02 3.1e-04 1.00e+00 1.666297737e+02 1.666414812e+02 2.6e-09 1.47
45 4.2e-06 1.9e-02 2.8e-04 1.00e+00 1.666305762e+02 1.666411126e+02 2.4e-09 1.50
46 3.8e-06 1.7e-02 2.5e-04 1.00e+00 1.666312978e+02 1.666407803e+02 2.1e-09 1.53
47 3.4e-06 1.7e-02 2.3e-04 1.00e+00 1.666319467e+02 1.666404807e+02 1.9e-09 1.56
48 3.1e-06 1.6e-02 2.0e-04 1.00e+00 1.666325302e+02 1.666402106e+02 1.7e-09 1.59
49 2.8e-06 1.5e-02 1.8e-04 1.00e+00 1.666330549e+02 1.666399671e+02 1.6e-09 1.62
50 2.5e-06 1.4e-02 1.7e-04 1.00e+00 1.666335267e+02 1.666397476e+02 1.4e-09 1.65
51 2.2e-06 1.4e-02 1.5e-04 1.00e+00 1.666339511e+02 1.666395498e+02 1.3e-09 1.69
52 2.0e-06 1.3e-02 1.3e-04 1.00e+00 1.666343328e+02 1.666393715e+02 1.1e-09 1.72
53 1.8e-06 1.2e-02 1.2e-04 1.00e+00 1.666346761e+02 1.666392109e+02 1.0e-09 1.75
54 1.6e-06 1.2e-02 1.1e-04 1.00e+00 1.666349849e+02 1.666390662e+02 9.2e-10 1.78
55 1.5e-06 1.2e-02 9.8e-05 1.00e+00 1.666352626e+02 1.666389358e+02 8.3e-10 1.81
56 1.3e-06 1.1e-02 8.8e-05 1.00e+00 1.666355124e+02 1.666388182e+02 7.4e-10 1.84
57 1.2e-06 1.1e-02 7.9e-05 1.00e+00 1.666357372e+02 1.666387124e+02 6.7e-10 1.87
58 1.1e-06 1.1e-02 7.1e-05 1.00e+00 1.666359393e+02 1.666386170e+02 6.0e-10 1.90
59 9.6e-07 1.0e-02 6.4e-05 1.00e+00 1.666361211e+02 1.666385310e+02 5.4e-10 1.92
60 8.7e-07 1.0e-02 5.8e-05 1.00e+00 1.666362846e+02 1.666384535e+02 4.9e-10 1.95
61 7.8e-07 9.9e-03 5.2e-05 1.00e+00 1.666364316e+02 1.666383836e+02 4.4e-10 1.98
62 7.0e-07 9.7e-03 4.7e-05 1.00e+00 1.666365639e+02 1.666383207e+02 4.0e-10 2.01
63 6.3e-07 9.5e-03 4.2e-05 1.00e+00 1.666366828e+02 1.666382639e+02 3.6e-10 2.04
64 5.7e-07 9.3e-03 3.8e-05 1.00e+00 1.666367898e+02 1.666382128e+02 3.2e-10 2.07
65 5.1e-07 9.2e-03 3.4e-05 1.00e+00 1.666368859e+02 1.666381666e+02 2.9e-10 2.10
66 4.6e-07 9.0e-03 3.1e-05 1.00e+00 1.666369724e+02 1.666381250e+02 2.6e-10 2.14
67 4.1e-07 8.9e-03 2.8e-05 9.99e-01 1.666370502e+02 1.666380876e+02 2.3e-10 2.17
68 3.7e-07 8.8e-03 2.5e-05 1.00e+00 1.666371201e+02 1.666380538e+02 2.1e-10 2.20
69 3.4e-07 8.7e-03 2.2e-05 1.00e+00 1.666371830e+02 1.666380233e+02 1.9e-10 2.23
70 3.0e-07 8.6e-03 2.0e-05 1.00e+00 1.666372395e+02 1.666379958e+02 1.7e-10 2.26
71 2.7e-07 8.5e-03 1.8e-05 1.00e+00 1.666372904e+02 1.666379711e+02 1.5e-10 2.29
72 2.4e-07 8.5e-03 1.6e-05 1.00e+00 1.666373361e+02 1.666379487e+02 1.4e-10 2.32
73 2.2e-07 8.4e-03 1.5e-05 9.99e-01 1.666373773e+02 1.666379287e+02 1.2e-10 2.35
74 2.0e-07 8.3e-03 1.3e-05 1.00e+00 1.666374143e+02 1.666379105e+02 1.1e-10 2.38
75 1.8e-07 8.3e-03 1.2e-05 1.00e+00 1.666374476e+02 1.666378942e+02 1.0e-10 2.41
76 1.6e-07 8.2e-03 1.1e-05 9.99e-01 1.666374776e+02 1.666378795e+02 9.1e-11 2.44
77 1.4e-07 8.2e-03 9.6e-06 1.00e+00 1.666375046e+02 1.666378663e+02 8.1e-11 2.47
78 1.3e-07 8.1e-03 8.7e-06 1.00e+00 1.666375288e+02 1.666378544e+02 7.3e-11 2.50
79 1.2e-07 8.1e-03 7.8e-06 1.00e+00 1.666375507e+02 1.666378436e+02 6.6e-11 2.52
80 1.1e-07 8.0e-03 7.0e-06 9.97e-01 1.666375703e+02 1.666378340e+02 5.9e-11 2.55
81 9.5e-08 8.0e-03 6.3e-06 9.98e-01 1.666375880e+02 1.666378253e+02 5.3e-11 2.58
82 8.5e-08 8.0e-03 5.7e-06 1.00e+00 1.666376039e+02 1.666378175e+02 4.8e-11 2.61
83 7.7e-08 7.9e-03 5.1e-06 1.00e+00 1.666376182e+02 1.666378105e+02 4.3e-11 2.64
84 6.9e-08 7.9e-03 4.6e-06 1.00e+00 1.666376311e+02 1.666378041e+02 3.9e-11 2.67
85 6.2e-08 7.9e-03 4.1e-06 1.00e+00 1.666376427e+02 1.666377984e+02 3.5e-11 2.70
86 5.6e-08 7.8e-03 3.7e-06 9.98e-01 1.666376531e+02 1.666377933e+02 3.2e-11 2.73
87 5.0e-08 7.8e-03 3.4e-06 1.00e+00 1.666376625e+02 1.666377886e+02 2.8e-11 2.76
88 4.5e-08 7.0e-03 3.0e-06 1.01e+00 1.666376712e+02 1.666377843e+02 2.6e-11 2.79
89 4.1e-08 6.3e-03 2.7e-06 9.97e-01 1.666376788e+02 1.666377806e+02 2.3e-11 2.82
90 3.7e-08 5.7e-03 2.4e-06 1.01e+00 1.666376858e+02 1.666377772e+02 2.1e-11 2.85
91 3.3e-08 5.1e-03 2.2e-06 9.97e-01 1.666376919e+02 1.666377742e+02 1.9e-11 2.88
92 3.0e-08 4.6e-03 2.0e-06 9.95e-01 1.666376974e+02 1.666377715e+02 1.7e-11 2.91
93 2.7e-08 4.2e-03 1.8e-06 9.93e-01 1.666377024e+02 1.666377690e+02 1.5e-11 2.94
94 2.4e-08 3.7e-03 1.6e-06 1.02e+00 1.666377071e+02 1.666377666e+02 1.4e-11 2.98
95 2.2e-08 3.4e-03 1.4e-06 9.82e-01 1.666377111e+02 1.666377647e+02 1.2e-11 3.01
96 2.0e-08 3.0e-03 1.3e-06 1.00e+00 1.666377147e+02 1.666377629e+02 1.1e-11 3.04
97 1.8e-08 2.7e-03 1.2e-06 9.94e-01 1.666377179e+02 1.666377614e+02 1.0e-11 3.07
98 1.6e-08 2.5e-03 1.1e-06 1.00e+00 1.666377209e+02 1.666377599e+02 9.0e-12 3.10
99 1.4e-08 2.2e-03 9.5e-07 1.03e+00 1.666377238e+02 1.666377584e+02 8.3e-12 3.14
100 1.3e-08 2.0e-03 8.5e-07 9.92e-01 1.666377261e+02 1.666377573e+02 7.4e-12 3.17
101 1.2e-08 1.8e-03 7.7e-07 1.02e+00 1.666377285e+02 1.666377561e+02 6.8e-12 3.20
102 1.0e-08 1.6e-03 6.9e-07 9.85e-01 1.666377303e+02 1.666377552e+02 6.1e-12 3.23
103 9.3e-09 1.4e-03 6.2e-07 1.02e+00 1.666377322e+02 1.666377543e+02 5.5e-12 3.26
104 8.4e-09 1.3e-03 5.6e-07 9.59e-01 1.666377336e+02 1.666377536e+02 5.0e-12 3.29
105 7.6e-09 1.2e-03 5.0e-07 9.94e-01 1.666377350e+02 1.666377529e+02 4.5e-12 3.32
106 6.8e-09 1.1e-03 4.5e-07 9.16e-01 1.666377362e+02 1.666377524e+02 4.0e-12 3.36
107 6.2e-09 9.5e-04 4.1e-07 1.02e+00 1.666377374e+02 1.666377518e+02 3.7e-12 3.39
108 5.5e-09 8.6e-04 3.7e-07 1.04e+00 1.666377385e+02 1.666377512e+02 3.4e-12 3.42
109 5.0e-09 7.7e-04 3.3e-07 1.03e+00 1.666377395e+02 1.666377507e+02 3.1e-12 3.45
110 4.5e-09 6.9e-04 3.0e-07 9.79e-01 1.666377402e+02 1.666377503e+02 2.8e-12 3.48
111 4.1e-09 6.2e-04 2.7e-07 1.12e+00 1.666377413e+02 1.666377498e+02 2.6e-12 3.52
112 3.7e-09 5.6e-04 2.4e-07 1.02e+00 1.666377419e+02 1.666377495e+02 2.4e-12 3.55
113 3.1e-09 7.0e-05 3.0e-08 1.05e+00 1.666377463e+02 1.666377472e+02 2.6e-13 3.58
Interior-point optimizer terminated. Time: 3.58.
Optimizer terminated. Time: 3.61
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774634e+02 Viol. con: 7e-08 var: 0e+00
Dual. obj: 1.6663774724e+02 Viol. con: 0e+00 var: 4e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.63 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 : Linux/64-X86
Cores : 20
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 : 20
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 : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281256833e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259652930e+05 3.580273349e+00 4.8e-01 0.11
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.199461534e+05 1.005557464e+01 1.9e-01 0.15
3 2.9e+02 3.7e+02 1.6e+04 -8.41e-01 -1.152369989e+05 6.133797798e+01 1.3e-01 0.18
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.125939096e+05 2.293609562e+03 1.3e-01 0.21
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.359846618e+04 9.834562101e+03 3.2e-02 0.25
6 3.6e+01 4.5e+01 2.0e+03 -1.82e-01 -4.627609626e+04 1.009596340e+04 1.6e-02 0.27
7 2.1e+01 2.7e+01 1.2e+03 2.90e-01 -3.084224585e+04 6.881673154e+03 9.2e-03 0.31
8 1.2e+01 1.6e+01 6.7e+02 5.65e-01 -1.932392777e+04 4.483629211e+03 5.4e-03 0.34
9 4.7e+00 6.0e+00 2.6e+02 7.54e-01 -7.701991880e+03 2.174752500e+03 2.1e-03 0.37
10 2.3e+00 2.9e+00 1.3e+02 9.26e-01 -3.516868246e+03 1.397320434e+03 1.0e-03 0.40
11 1.5e+00 1.9e+00 8.4e+01 9.76e-01 -2.278063575e+03 9.686761398e+02 6.7e-04 0.43
12 8.5e-01 1.1e+00 4.7e+01 9.85e-01 -1.223620024e+03 6.225976920e+02 3.8e-04 0.46
13 7.5e-01 9.9e-01 4.2e+01 9.54e-01 -1.085113709e+03 5.622492683e+02 3.3e-04 0.49
14 3.7e-01 4.9e-01 2.1e+01 9.85e-01 -4.368164689e+02 3.757288616e+02 1.7e-04 0.52
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.425571854e+02 2.585351618e+02 8.2e-05 0.56
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 5.484501290e+00 2.044127657e+02 4.1e-05 0.59
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.455531513e+01 2.066562252e+02 4.0e-05 0.62
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 6.001214117e+01 1.948456310e+02 2.8e-05 0.65
19 2.9e-02 7.3e-02 1.7e+00 1.01e+00 1.156051686e+02 1.809648199e+02 1.4e-05 0.68
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.526398123e+02 1.716139743e+02 4.0e-06 0.71
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622522125e+02 1.679613486e+02 1.2e-06 0.74
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639807349e+02 1.674413344e+02 7.3e-07 0.77
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656593396e+02 1.668669764e+02 2.6e-07 0.80
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661981690e+02 1.666657459e+02 1.0e-07 0.83
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662345732e+02 1.666552715e+02 9.2e-08 0.86
26 1.6e-04 7.9e-02 9.9e-03 1.01e+00 1.662646308e+02 1.666431180e+02 8.3e-08 0.89
27 1.4e-04 7.2e-02 8.9e-03 1.01e+00 1.662918626e+02 1.666323888e+02 7.5e-08 0.92
28 1.3e-04 6.6e-02 8.0e-03 1.01e+00 1.663162458e+02 1.666226262e+02 6.7e-08 0.96
29 1.2e-04 6.0e-02 7.2e-03 1.01e+00 1.663381281e+02 1.666137936e+02 6.0e-08 0.99
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663577600e+02 1.666057959e+02 5.4e-08 1.01
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663753749e+02 1.665985555e+02 4.9e-08 1.04
32 8.4e-05 4.6e-02 5.3e-03 1.01e+00 1.663911808e+02 1.665920013e+02 4.4e-08 1.07
33 7.6e-05 4.2e-02 4.7e-03 1.01e+00 1.664053647e+02 1.665860687e+02 4.0e-08 1.10
34 6.8e-05 3.9e-02 4.3e-03 1.01e+00 1.664180940e+02 1.665806999e+02 3.6e-08 1.13
35 6.2e-05 3.5e-02 3.8e-03 1.01e+00 1.664295194e+02 1.665758421e+02 3.2e-08 1.17
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664397753e+02 1.665714477e+02 2.9e-08 1.20
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664489827e+02 1.665674733e+02 2.6e-08 1.23
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664572496e+02 1.665638795e+02 2.3e-08 1.26
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664646728e+02 1.665606304e+02 2.1e-08 1.29
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664713393e+02 1.665576937e+02 1.9e-08 1.32
41 3.3e-05 2.2e-02 2.0e-03 1.00e+00 1.664773267e+02 1.665550398e+02 1.7e-08 1.35
42 2.9e-05 2.1e-02 1.8e-03 1.00e+00 1.664827048e+02 1.665526420e+02 1.5e-08 1.40
43 2.6e-05 2.0e-02 1.7e-03 1.00e+00 1.664875360e+02 1.665504759e+02 1.4e-08 1.43
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664918765e+02 1.665485195e+02 1.2e-08 1.46
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664957764e+02 1.665467529e+02 1.1e-08 1.49
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664992809e+02 1.665451580e+02 1.0e-08 1.51
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665024304e+02 1.665437184e+02 9.1e-09 1.55
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665052611e+02 1.665424193e+02 8.2e-09 1.58
49 1.4e-05 1.4e-02 8.8e-04 1.00e+00 1.665078056e+02 1.665412472e+02 7.4e-09 1.61
50 1.3e-05 1.4e-02 7.9e-04 1.00e+00 1.665100931e+02 1.665401900e+02 6.6e-09 1.64
51 1.1e-05 1.3e-02 7.1e-04 1.00e+00 1.665121498e+02 1.665392366e+02 6.0e-09 1.68
52 1.0e-05 1.2e-02 6.4e-04 1.00e+00 1.665139991e+02 1.665383769e+02 5.4e-09 1.70
53 9.2e-06 1.2e-02 5.8e-04 1.00e+00 1.665156621e+02 1.665376020e+02 4.8e-09 1.74
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665171577e+02 1.665369035e+02 4.3e-09 1.77
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665185028e+02 1.665362740e+02 3.9e-09 1.80
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665197128e+02 1.665357067e+02 3.5e-09 1.83
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665208011e+02 1.665351956e+02 3.2e-09 1.86
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217800e+02 1.665347351e+02 2.9e-09 1.89
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226606e+02 1.665343202e+02 2.6e-09 1.92
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234527e+02 1.665339464e+02 2.3e-09 1.95
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241652e+02 1.665336096e+02 2.1e-09 1.98
62 3.6e-06 9.5e-03 2.2e-04 1.00e+00 1.665248061e+02 1.665333061e+02 1.9e-09 2.01
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253825e+02 1.665330325e+02 1.7e-09 2.04
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665259010e+02 1.665327860e+02 1.5e-09 2.08
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263673e+02 1.665325639e+02 1.4e-09 2.10
66 2.3e-06 9.0e-03 1.5e-04 1.00e+00 1.665267868e+02 1.665323637e+02 1.2e-09 2.13
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271642e+02 1.665321834e+02 1.1e-09 2.16
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665275036e+02 1.665320210e+02 1.0e-09 2.19
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665278090e+02 1.665318747e+02 9.0e-10 2.22
70 1.5e-06 8.6e-03 9.6e-05 1.00e+00 1.665280838e+02 1.665317429e+02 8.1e-10 2.25
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283309e+02 1.665316241e+02 7.3e-10 2.28
72 1.2e-06 8.5e-03 7.8e-05 1.00e+00 1.665285533e+02 1.665315171e+02 6.5e-10 2.31
73 1.1e-06 8.5e-03 7.0e-05 1.00e+00 1.665287533e+02 1.665314208e+02 5.9e-10 2.34
74 1.0e-06 8.4e-03 6.3e-05 1.00e+00 1.665289332e+02 1.665313339e+02 5.3e-10 2.37
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290950e+02 1.665312557e+02 4.8e-10 2.41
76 8.2e-07 8.3e-03 5.1e-05 1.00e+00 1.665292406e+02 1.665311853e+02 4.3e-10 2.44
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293715e+02 1.665311217e+02 3.9e-10 2.47
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294893e+02 1.665310645e+02 3.5e-10 2.51
79 6.0e-07 8.2e-03 3.7e-05 1.00e+00 1.665295952e+02 1.665310129e+02 3.1e-10 2.54
80 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.665296904e+02 1.665309664e+02 2.8e-10 2.57
81 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.665297761e+02 1.665309245e+02 2.5e-10 2.61
82 4.4e-07 8.1e-03 2.7e-05 1.00e+00 1.665298531e+02 1.665308867e+02 2.3e-10 2.64
83 3.9e-07 8.1e-03 2.5e-05 9.99e-01 1.665299224e+02 1.665308526e+02 2.1e-10 2.68
84 3.5e-07 8.0e-03 2.2e-05 1.00e+00 1.665299846e+02 1.665308219e+02 1.8e-10 2.71
85 3.2e-07 8.0e-03 2.0e-05 9.99e-01 1.665300407e+02 1.665307942e+02 1.7e-10 2.75
86 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.665300910e+02 1.665307692e+02 1.5e-10 2.78
87 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.665301364e+02 1.665307467e+02 1.3e-10 2.81
88 2.3e-07 7.9e-03 1.4e-05 1.00e+00 1.665301771e+02 1.665307265e+02 1.2e-10 2.84
89 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.665302138e+02 1.665307082e+02 1.1e-10 2.87
90 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.665302468e+02 1.665306917e+02 9.8e-11 2.91
91 1.7e-07 7.9e-03 1.1e-05 9.99e-01 1.665302765e+02 1.665306769e+02 8.8e-11 2.94
92 1.5e-07 7.9e-03 9.5e-06 1.00e+00 1.665303032e+02 1.665306635e+02 7.9e-11 2.97
93 1.4e-07 7.9e-03 8.6e-06 1.00e+00 1.665303272e+02 1.665306515e+02 7.2e-11 3.00
94 1.2e-07 7.8e-03 7.7e-06 9.98e-01 1.665303488e+02 1.665306407e+02 6.4e-11 3.03
95 1.1e-07 7.8e-03 6.9e-06 9.98e-01 1.665303683e+02 1.665306310e+02 5.8e-11 3.06
96 1.0e-07 7.8e-03 6.2e-06 9.98e-01 1.665303858e+02 1.665306223e+02 5.2e-11 3.09
97 9.0e-08 7.8e-03 5.6e-06 1.00e+00 1.665304015e+02 1.665306144e+02 4.7e-11 3.12
98 8.1e-08 7.0e-03 5.1e-06 1.01e+00 1.665304159e+02 1.665306071e+02 4.2e-11 3.16
99 7.3e-08 6.3e-03 4.5e-06 9.94e-01 1.665304286e+02 1.665306008e+02 3.8e-11 3.19
100 6.5e-08 5.7e-03 4.1e-06 1.01e+00 1.665304404e+02 1.665305948e+02 3.4e-11 3.22
101 5.9e-08 5.1e-03 3.7e-06 9.87e-01 1.665304507e+02 1.665305897e+02 3.1e-11 3.25
102 5.3e-08 4.6e-03 3.3e-06 9.98e-01 1.665304599e+02 1.665305850e+02 2.8e-11 3.28
103 4.8e-08 4.1e-03 3.0e-06 1.00e+00 1.665304683e+02 1.665305809e+02 2.5e-11 3.32
104 4.3e-08 3.7e-03 2.7e-06 1.00e+00 1.665304758e+02 1.665305771e+02 2.3e-11 3.35
105 3.9e-08 3.3e-03 2.4e-06 9.93e-01 1.665304825e+02 1.665305737e+02 2.0e-11 3.40
106 3.5e-08 3.0e-03 2.2e-06 1.01e+00 1.665304887e+02 1.665305706e+02 1.8e-11 3.44
107 3.1e-08 2.7e-03 2.0e-06 1.00e+00 1.665304941e+02 1.665305678e+02 1.6e-11 3.47
108 2.8e-08 2.4e-03 1.8e-06 1.00e+00 1.665304990e+02 1.665305654e+02 1.5e-11 3.50
109 2.5e-08 2.2e-03 1.6e-06 9.99e-01 1.665305035e+02 1.665305632e+02 1.3e-11 3.53
110 2.3e-08 2.0e-03 1.4e-06 9.89e-01 1.665305074e+02 1.665305612e+02 1.2e-11 3.57
111 2.1e-08 1.8e-03 1.3e-06 1.01e+00 1.665305112e+02 1.665305593e+02 1.1e-11 3.60
112 1.8e-08 1.6e-03 1.2e-06 1.00e+00 1.665305144e+02 1.665305577e+02 9.8e-12 3.64
113 1.7e-08 1.4e-03 1.0e-06 1.02e+00 1.665305175e+02 1.665305560e+02 8.9e-12 3.67
114 1.5e-08 1.3e-03 9.4e-07 9.91e-01 1.665305201e+02 1.665305548e+02 8.0e-12 3.70
115 1.3e-08 1.2e-03 8.4e-07 9.65e-01 1.665305224e+02 1.665305536e+02 7.2e-12 3.73
116 1.2e-08 1.1e-03 7.6e-07 1.01e+00 1.665305245e+02 1.665305526e+02 6.5e-12 3.77
117 1.1e-08 9.5e-04 6.8e-07 9.41e-01 1.665305264e+02 1.665305517e+02 5.9e-12 3.80
118 9.8e-09 8.5e-04 6.1e-07 9.65e-01 1.665305280e+02 1.665305509e+02 5.3e-12 3.83
119 8.9e-09 7.7e-04 5.5e-07 1.02e+00 1.665305297e+02 1.665305500e+02 4.8e-12 3.86
120 8.0e-09 6.9e-04 5.0e-07 1.00e+00 1.665305311e+02 1.665305493e+02 4.3e-12 3.90
121 7.2e-09 6.2e-04 4.5e-07 9.76e-01 1.665305323e+02 1.665305487e+02 3.9e-12 3.93
122 6.5e-09 5.6e-04 4.0e-07 9.65e-01 1.665305333e+02 1.665305482e+02 3.5e-12 3.96
123 5.8e-09 5.0e-04 3.6e-07 9.30e-01 1.665305343e+02 1.665305477e+02 3.2e-12 3.99
124 5.2e-09 4.5e-04 3.3e-07 9.71e-01 1.665305352e+02 1.665305473e+02 2.8e-12 4.02
125 4.7e-09 4.1e-04 2.9e-07 1.02e+00 1.665305360e+02 1.665305468e+02 2.6e-12 4.05
126 4.3e-09 3.7e-04 2.6e-07 1.10e+00 1.665305371e+02 1.665305462e+02 2.4e-12 4.09
127 3.9e-09 3.3e-04 2.4e-07 1.09e+00 1.665305380e+02 1.665305458e+02 2.3e-12 4.11
128 3.6e-09 3.0e-04 2.1e-07 8.66e-01 1.665305385e+02 1.665305456e+02 2.1e-12 4.15
129 3.2e-09 2.7e-04 1.9e-07 1.04e+00 1.665305390e+02 1.665305453e+02 1.9e-12 4.18
130 2.9e-09 2.4e-04 1.7e-07 1.00e+00 1.665305394e+02 1.665305451e+02 1.7e-12 4.21
131 1.1e-09 2.5e-05 1.8e-08 9.94e-01 1.665305428e+02 1.665305434e+02 1.8e-13 4.24
Interior-point optimizer terminated. Time: 4.24.
Optimizer terminated. Time: 4.27
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054279e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.6653054337e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.3 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 : Linux/64-X86
Cores : 20
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 : 20
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 : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281219225e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259510014e+05 3.575672593e+00 4.8e-01 0.13
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.198706845e+05 1.013520829e+01 1.9e-01 0.18
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.151566025e+05 6.243045793e+01 1.2e-01 0.21
4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125384739e+05 2.273182430e+03 1.2e-01 0.25
5 7.5e+01 9.6e+01 4.1e+03 -7.53e-01 -7.445605721e+04 9.639358173e+03 3.3e-02 0.28
6 3.3e+01 4.2e+01 1.8e+03 -1.95e-01 -4.330177379e+04 1.030586509e+04 1.4e-02 0.32
7 1.9e+01 2.5e+01 1.1e+03 3.42e-01 -2.853323904e+04 6.914887024e+03 8.5e-03 0.36
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.808894512e+04 4.388508452e+03 5.0e-03 0.39
9 4.5e+00 5.7e+00 2.5e+02 7.74e-01 -7.326210884e+03 2.100233167e+03 2.0e-03 0.43
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.203272596e+03 1.327239433e+03 9.3e-04 0.46
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.002125203e+03 8.889959868e+02 6.0e-04 0.49
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.160050149e+03 6.061240373e+02 3.6e-04 0.52
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.074194846e+02 5.061548071e+02 2.9e-04 0.55
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.159485623e+02 3.800109026e+02 1.6e-04 0.59
15 1.8e-01 2.4e-01 9.9e+00 9.93e-01 -1.329962761e+02 2.580948707e+02 8.0e-05 0.62
16 7.9e-02 1.3e-01 4.5e+00 1.01e+00 2.194831089e+01 1.995884422e+02 3.7e-05 0.65
17 6.8e-02 1.1e-01 3.9e+00 1.02e+00 4.516593935e+01 1.977868049e+02 3.2e-05 0.69
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.183233440e+02 1.806140776e+02 1.3e-05 0.72
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.533664572e+02 1.714094082e+02 3.8e-06 0.75
20 2.9e-03 2.4e-01 1.7e-01 1.00e+00 1.613683438e+02 1.680689347e+02 1.4e-06 0.78
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635977313e+02 1.674592380e+02 8.2e-07 0.82
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656258683e+02 1.668059047e+02 2.6e-07 0.85
23 1.8e-04 1.1e-01 1.1e-02 1.01e+00 1.661712178e+02 1.666014843e+02 9.5e-08 0.88
24 8.3e-05 8.8e-02 5.3e-03 1.01e+00 1.663353056e+02 1.665344366e+02 4.4e-08 0.92
25 3.7e-05 8.0e-02 2.4e-03 1.01e+00 1.664121461e+02 1.665025018e+02 2.0e-08 0.96
26 3.4e-05 7.3e-02 2.2e-03 1.01e+00 1.664199929e+02 1.665013350e+02 1.8e-08 1.00
27 3.0e-05 6.6e-02 1.9e-03 1.01e+00 1.664255135e+02 1.664986935e+02 1.6e-08 1.03
28 2.7e-05 6.1e-02 1.7e-03 1.01e+00 1.664306036e+02 1.664964515e+02 1.5e-08 1.07
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664351583e+02 1.664944091e+02 1.3e-08 1.11
30 2.2e-05 5.1e-02 1.4e-03 1.01e+00 1.664392525e+02 1.664925683e+02 1.2e-08 1.14
31 2.0e-05 4.6e-02 1.3e-03 1.00e+00 1.664429300e+02 1.664909061e+02 1.1e-08 1.18
32 1.8e-05 4.2e-02 1.1e-03 1.00e+00 1.664462341e+02 1.664894060e+02 9.7e-09 1.21
33 1.6e-05 3.9e-02 1.0e-03 1.00e+00 1.664492031e+02 1.664880524e+02 8.7e-09 1.25
34 1.5e-05 3.6e-02 9.3e-04 1.00e+00 1.664518711e+02 1.664868311e+02 7.8e-09 1.29
35 1.3e-05 3.3e-02 8.3e-04 1.00e+00 1.664542691e+02 1.664857295e+02 7.1e-09 1.32
36 1.2e-05 3.0e-02 7.5e-04 1.00e+00 1.664564244e+02 1.664847360e+02 6.4e-09 1.35
37 1.1e-05 2.8e-02 6.8e-04 1.00e+00 1.664583620e+02 1.664838401e+02 5.7e-09 1.39
38 9.5e-06 2.6e-02 6.1e-04 1.00e+00 1.664601040e+02 1.664830324e+02 5.2e-09 1.42
39 8.6e-06 2.4e-02 5.5e-04 1.00e+00 1.664616702e+02 1.664823044e+02 4.6e-09 1.46
40 7.7e-06 2.3e-02 4.9e-04 1.00e+00 1.664630786e+02 1.664816481e+02 4.2e-09 1.49
41 6.9e-06 2.1e-02 4.4e-04 1.00e+00 1.664643451e+02 1.664810568e+02 3.8e-09 1.52
42 6.3e-06 2.0e-02 4.0e-04 1.00e+00 1.664654842e+02 1.664805240e+02 3.4e-09 1.55
43 5.6e-06 1.9e-02 3.6e-04 1.00e+00 1.664665087e+02 1.664800439e+02 3.0e-09 1.59
44 5.1e-06 1.7e-02 3.2e-04 1.00e+00 1.664674302e+02 1.664796115e+02 2.7e-09 1.62
45 4.6e-06 1.6e-02 2.9e-04 1.00e+00 1.664682592e+02 1.664792219e+02 2.5e-09 1.66
46 4.1e-06 1.6e-02 2.6e-04 1.00e+00 1.664690049e+02 1.664788710e+02 2.2e-09 1.70
47 3.7e-06 1.5e-02 2.4e-04 1.00e+00 1.664696756e+02 1.664785550e+02 2.0e-09 1.73
48 3.3e-06 1.4e-02 2.1e-04 1.00e+00 1.664702791e+02 1.664782703e+02 1.8e-09 1.76
49 3.0e-06 1.3e-02 1.9e-04 1.00e+00 1.664708219e+02 1.664780138e+02 1.6e-09 1.79
50 2.7e-06 1.3e-02 1.7e-04 1.00e+00 1.664713102e+02 1.664777829e+02 1.5e-09 1.81
51 2.4e-06 1.2e-02 1.5e-04 1.00e+00 1.664717496e+02 1.664775749e+02 1.3e-09 1.84
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664721450e+02 1.664773877e+02 1.2e-09 1.87
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664725007e+02 1.664772191e+02 1.1e-09 1.91
54 1.8e-06 1.1e-02 1.1e-04 1.00e+00 1.664728209e+02 1.664770674e+02 9.6e-10 1.95
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664731090e+02 1.664769309e+02 8.6e-10 1.98
56 1.4e-06 1.0e-02 9.1e-05 1.00e+00 1.664733683e+02 1.664768079e+02 7.7e-10 2.01
57 1.3e-06 1.0e-02 8.2e-05 1.00e+00 1.664736016e+02 1.664766973e+02 7.0e-10 2.04
58 1.2e-06 9.9e-03 7.4e-05 1.00e+00 1.664738116e+02 1.664765977e+02 6.3e-10 2.07
59 1.0e-06 9.6e-03 6.7e-05 1.00e+00 1.664740005e+02 1.664765080e+02 5.6e-10 2.11
60 9.4e-07 9.4e-03 6.0e-05 1.00e+00 1.664741706e+02 1.664764273e+02 5.1e-10 2.14
61 8.4e-07 9.3e-03 5.4e-05 1.00e+00 1.664743236e+02 1.664763547e+02 4.6e-10 2.17
62 7.6e-07 9.1e-03 4.9e-05 1.00e+00 1.664744613e+02 1.664762893e+02 4.1e-10 2.20
63 6.8e-07 8.9e-03 4.4e-05 1.00e+00 1.664745852e+02 1.664762303e+02 3.7e-10 2.23
64 6.2e-07 8.8e-03 3.9e-05 1.00e+00 1.664746967e+02 1.664761772e+02 3.3e-10 2.26
65 5.5e-07 8.7e-03 3.5e-05 1.00e+00 1.664747969e+02 1.664761295e+02 3.0e-10 2.29
66 5.0e-07 8.6e-03 3.2e-05 1.00e+00 1.664748872e+02 1.664760864e+02 2.7e-10 2.33
67 4.5e-07 8.5e-03 2.9e-05 1.00e+00 1.664749683e+02 1.664760477e+02 2.4e-10 2.36
68 4.0e-07 8.4e-03 2.6e-05 1.00e+00 1.664750413e+02 1.664760127e+02 2.2e-10 2.39
69 3.6e-07 8.3e-03 2.3e-05 1.00e+00 1.664751069e+02 1.664759813e+02 2.0e-10 2.43
70 3.3e-07 8.2e-03 2.1e-05 1.00e+00 1.664751660e+02 1.664759529e+02 1.8e-10 2.47
71 2.9e-07 8.2e-03 1.9e-05 1.00e+00 1.664752192e+02 1.664759273e+02 1.6e-10 2.50
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752670e+02 1.664759043e+02 1.4e-10 2.53
73 2.4e-07 8.1e-03 1.5e-05 1.00e+00 1.664753100e+02 1.664758836e+02 1.3e-10 2.57
74 2.1e-07 8.0e-03 1.4e-05 1.00e+00 1.664753487e+02 1.664758649e+02 1.2e-10 2.60
75 1.9e-07 8.0e-03 1.2e-05 9.99e-01 1.664753835e+02 1.664758481e+02 1.0e-10 2.63
76 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.664754149e+02 1.664758329e+02 9.4e-11 2.66
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754431e+02 1.664758193e+02 8.5e-11 2.69
78 1.4e-07 7.9e-03 9.0e-06 1.01e+00 1.664754688e+02 1.664758068e+02 7.6e-11 2.73
79 1.3e-07 7.9e-03 8.1e-06 1.00e+00 1.664754916e+02 1.664757957e+02 6.9e-11 2.76
80 1.1e-07 7.8e-03 7.3e-06 9.96e-01 1.664755121e+02 1.664757859e+02 6.2e-11 2.79
81 1.0e-07 7.8e-03 6.6e-06 9.98e-01 1.664755306e+02 1.664757769e+02 5.6e-11 2.82
82 9.2e-08 7.7e-03 5.9e-06 9.98e-01 1.664755472e+02 1.664757689e+02 5.0e-11 2.85
83 8.3e-08 7.0e-03 5.3e-06 1.01e+00 1.664755625e+02 1.664757614e+02 4.5e-11 2.87
84 7.5e-08 6.3e-03 4.8e-06 1.00e+00 1.664755759e+02 1.664757550e+02 4.1e-11 2.90
85 6.7e-08 5.6e-03 4.3e-06 1.00e+00 1.664755880e+02 1.664757491e+02 3.7e-11 2.92
86 6.1e-08 5.1e-03 3.9e-06 1.01e+00 1.664755992e+02 1.664757436e+02 3.3e-11 2.95
87 5.5e-08 4.6e-03 3.5e-06 1.00e+00 1.664756089e+02 1.664757389e+02 3.0e-11 2.97
88 4.9e-08 4.1e-03 3.1e-06 1.00e+00 1.664756177e+02 1.664757347e+02 2.7e-11 3.01
89 4.4e-08 3.7e-03 2.8e-06 1.01e+00 1.664756259e+02 1.664757307e+02 2.4e-11 3.04
90 4.0e-08 3.3e-03 2.5e-06 1.00e+00 1.664756330e+02 1.664757272e+02 2.2e-11 3.07
91 3.6e-08 3.0e-03 2.3e-06 1.01e+00 1.664756396e+02 1.664757240e+02 2.0e-11 3.10
92 3.2e-08 2.7e-03 2.1e-06 1.00e+00 1.664756453e+02 1.664757213e+02 1.8e-11 3.13
93 2.9e-08 2.4e-03 1.9e-06 1.00e+00 1.664756505e+02 1.664757188e+02 1.6e-11 3.16
94 2.6e-08 2.2e-03 1.7e-06 1.00e+00 1.664756551e+02 1.664757165e+02 1.4e-11 3.19
95 2.4e-08 2.0e-03 1.5e-06 9.79e-01 1.664756592e+02 1.664757146e+02 1.3e-11 3.22
96 2.1e-08 1.8e-03 1.4e-06 1.00e+00 1.664756629e+02 1.664757128e+02 1.2e-11 3.24
97 1.9e-08 1.6e-03 1.2e-06 9.87e-01 1.664756663e+02 1.664757112e+02 1.0e-11 3.27
98 1.7e-08 1.4e-03 1.1e-06 9.89e-01 1.664756693e+02 1.664757097e+02 9.4e-12 3.29
99 1.5e-08 1.3e-03 9.8e-07 1.02e+00 1.664756723e+02 1.664757082e+02 8.6e-12 3.32
100 1.4e-08 1.2e-03 8.9e-07 9.73e-01 1.664756747e+02 1.664757071e+02 7.7e-12 3.35
101 1.3e-08 1.0e-03 8.0e-07 1.01e+00 1.664756770e+02 1.664757060e+02 7.0e-12 3.38
102 1.1e-08 9.4e-04 7.2e-07 9.89e-01 1.664756789e+02 1.664757051e+02 6.3e-12 3.41
103 1.0e-08 8.5e-04 6.5e-07 9.89e-01 1.664756807e+02 1.664757042e+02 5.7e-12 3.44
104 9.1e-09 7.6e-04 5.8e-07 1.05e+00 1.664756827e+02 1.664757032e+02 5.2e-12 3.47
105 2.0e-09 8.3e-05 6.3e-08 1.01e+00 1.664756950e+02 1.664756972e+02 5.4e-13 3.50
Interior-point optimizer terminated. Time: 3.50.
Optimizer terminated. Time: 3.53
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569499e+02 Viol. con: 4e-08 var: 0e+00
Dual. obj: 1.6647569720e+02 Viol. con: 0e+00 var: 5e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.55 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 : Linux/64-X86
Cores : 20
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 : 20
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 : 0.07 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280507083e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258771622e+05 3.574359658e+00 4.8e-01 0.55
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197600703e+05 1.017435657e+01 1.9e-01 0.58
3 2.9e+02 3.6e+02 1.6e+04 -8.40e-01 -1.150414974e+05 6.302902746e+01 1.2e-01 0.61
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124384905e+05 2.261517124e+03 1.2e-01 0.64
5 7.5e+01 9.6e+01 4.2e+03 -7.52e-01 -7.457692398e+04 9.579749141e+03 3.3e-02 0.68
6 3.0e+01 3.8e+01 1.7e+03 -1.97e-01 -4.046197480e+04 1.027492068e+04 1.3e-02 0.71
7 1.8e+01 2.3e+01 1.0e+03 3.92e-01 -2.694185409e+04 6.671808816e+03 7.9e-03 0.74
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.557345867e+04 3.882130459e+03 4.3e-03 0.77
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.391622417e+03 1.890794812e+03 1.7e-03 0.80
10 2.1e+00 2.6e+00 1.2e+02 9.41e-01 -3.269353443e+03 1.203687322e+03 9.2e-04 0.83
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.531766980e+03 7.332250699e+02 4.7e-04 0.86
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.183107195e+03 6.026626584e+02 3.6e-04 0.89
13 4.8e-01 6.1e-01 2.7e+01 9.74e-01 -6.438483215e+02 4.230518908e+02 2.2e-04 0.92
14 2.7e-01 3.5e-01 1.5e+01 1.00e+00 -2.811300483e+02 3.129232806e+02 1.2e-04 0.95
15 9.5e-02 1.5e-01 5.4e+00 1.00e+00 -7.756542690e+00 2.064997706e+02 4.4e-05 0.98
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.583765228e+01 2.085235964e+02 4.0e-05 1.01
17 5.8e-02 9.1e-02 3.3e+00 1.02e+00 6.550551838e+01 1.939213398e+02 2.7e-05 1.04
18 2.7e-02 7.0e-02 1.6e+00 1.02e+00 1.189879760e+02 1.798014772e+02 1.3e-05 1.07
19 7.7e-03 1.9e-01 4.5e-01 1.02e+00 1.538339884e+02 1.711161079e+02 3.6e-06 1.10
20 3.1e-03 2.3e-01 1.8e-01 1.01e+00 1.611248328e+02 1.680952994e+02 1.5e-06 1.13
21 1.8e-03 1.4e-01 1.1e-01 1.01e+00 1.633659957e+02 1.674682419e+02 8.8e-07 1.16
22 5.4e-04 1.3e-01 3.3e-02 1.01e+00 1.655412445e+02 1.667977633e+02 2.7e-07 1.19
23 3.9e-04 1.1e-01 2.4e-02 9.97e-01 1.657984530e+02 1.666980002e+02 2.0e-07 1.23
24 2.1e-04 7.7e-02 1.3e-02 9.85e-01 1.660841059e+02 1.665893352e+02 1.1e-07 1.25
25 1.8e-04 6.6e-02 1.1e-02 1.00e+00 1.661383206e+02 1.665728417e+02 9.5e-08 1.28
26 1.7e-04 6.0e-02 1.0e-02 1.01e+00 1.661705927e+02 1.665614007e+02 8.6e-08 1.31
27 1.5e-04 5.5e-02 9.3e-03 1.01e+00 1.661982535e+02 1.665498599e+02 7.7e-08 1.34
28 1.3e-04 5.0e-02 8.3e-03 1.01e+00 1.662232940e+02 1.665396644e+02 6.9e-08 1.37
29 1.2e-04 4.6e-02 7.5e-03 1.01e+00 1.662457216e+02 1.665303946e+02 6.2e-08 1.39
30 1.1e-04 4.2e-02 6.8e-03 1.01e+00 1.662658507e+02 1.665220072e+02 5.6e-08 1.42
31 9.8e-05 3.9e-02 6.1e-03 1.01e+00 1.662839126e+02 1.665144135e+02 5.1e-08 1.45
32 8.8e-05 3.5e-02 5.5e-03 1.01e+00 1.663001214e+02 1.665075397e+02 4.6e-08 1.48
33 7.9e-05 3.3e-02 4.9e-03 1.00e+00 1.663146675e+02 1.665013178e+02 4.1e-08 1.51
34 7.1e-05 3.0e-02 4.4e-03 1.00e+00 1.663277221e+02 1.664956863e+02 3.7e-08 1.54
35 6.4e-05 2.8e-02 4.0e-03 1.00e+00 1.663394389e+02 1.664905897e+02 3.3e-08 1.56
36 5.8e-05 2.6e-02 3.6e-03 1.00e+00 1.663499559e+02 1.664859781e+02 3.0e-08 1.59
37 5.2e-05 2.4e-02 3.2e-03 1.00e+00 1.663593969e+02 1.664818060e+02 2.7e-08 1.62
38 4.7e-05 2.2e-02 2.9e-03 1.00e+00 1.663678729e+02 1.664780324e+02 2.4e-08 1.65
39 4.2e-05 2.1e-02 2.6e-03 1.00e+00 1.663754832e+02 1.664746199e+02 2.2e-08 1.68
40 3.8e-05 2.0e-02 2.4e-03 1.00e+00 1.663823171e+02 1.664715347e+02 2.0e-08 1.71
41 3.4e-05 1.8e-02 2.1e-03 1.00e+00 1.663884543e+02 1.664687459e+02 1.8e-08 1.75
42 3.1e-05 1.7e-02 1.9e-03 1.00e+00 1.663939664e+02 1.664662256e+02 1.6e-08 1.78
43 2.8e-05 1.6e-02 1.7e-03 1.00e+00 1.663989175e+02 1.664639482e+02 1.4e-08 1.83
44 2.5e-05 1.6e-02 1.5e-03 1.00e+00 1.664033650e+02 1.664618906e+02 1.3e-08 1.87
45 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664073604e+02 1.664600319e+02 1.2e-08 1.90
46 2.0e-05 1.4e-02 1.3e-03 1.00e+00 1.664109499e+02 1.664583531e+02 1.0e-08 1.94
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664141750e+02 1.664568370e+02 9.4e-09 1.98
48 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664170728e+02 1.664554680e+02 8.5e-09 2.02
49 1.5e-05 1.2e-02 9.1e-04 1.00e+00 1.664196767e+02 1.664542320e+02 7.6e-09 2.06
50 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664220168e+02 1.664531162e+02 6.9e-09 2.09
51 1.2e-05 1.1e-02 7.4e-04 1.00e+00 1.664241198e+02 1.664521090e+02 6.2e-09 2.13
52 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.664260100e+02 1.664512001e+02 5.6e-09 2.17
53 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664277089e+02 1.664503800e+02 5.0e-09 2.20
54 8.7e-06 1.1e-02 5.4e-04 1.00e+00 1.664292360e+02 1.664496400e+02 4.5e-09 2.24
55 7.8e-06 1.0e-02 4.9e-04 1.00e+00 1.664306089e+02 1.664489725e+02 4.0e-09 2.28
56 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318431e+02 1.664483703e+02 3.6e-09 2.31
57 6.3e-06 9.8e-03 3.9e-04 1.00e+00 1.664329527e+02 1.664478273e+02 3.3e-09 2.35
58 5.7e-06 9.6e-03 3.5e-04 1.00e+00 1.664339504e+02 1.664473376e+02 3.0e-09 2.39
59 5.1e-06 9.4e-03 3.2e-04 1.00e+00 1.664348475e+02 1.664468959e+02 2.7e-09 2.43
60 4.6e-06 9.3e-03 2.9e-04 1.00e+00 1.664356541e+02 1.664464978e+02 2.4e-09 2.46
61 4.2e-06 9.1e-03 2.6e-04 1.00e+00 1.664363794e+02 1.664461388e+02 2.2e-09 2.50
62 3.7e-06 9.0e-03 2.3e-04 1.00e+00 1.664370316e+02 1.664458151e+02 1.9e-09 2.54
63 3.4e-06 8.9e-03 2.1e-04 1.00e+00 1.664376180e+02 1.664455233e+02 1.7e-09 2.58
64 3.0e-06 8.8e-03 1.9e-04 1.00e+00 1.664381454e+02 1.664452601e+02 1.6e-09 2.61
65 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386197e+02 1.664450230e+02 1.4e-09 2.64
66 2.5e-06 8.6e-03 1.5e-04 1.00e+00 1.664390463e+02 1.664448093e+02 1.3e-09 2.67
67 2.2e-06 8.5e-03 1.4e-04 1.00e+00 1.664394300e+02 1.664446167e+02 1.1e-09 2.71
68 2.0e-06 8.4e-03 1.2e-04 1.00e+00 1.664397751e+02 1.664444432e+02 1.0e-09 2.74
69 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400856e+02 1.664442870e+02 9.3e-10 2.77
70 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403650e+02 1.664441462e+02 8.3e-10 2.80
71 1.4e-06 8.2e-03 9.0e-05 1.00e+00 1.664406163e+02 1.664440194e+02 7.5e-10 2.83
72 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408424e+02 1.664439052e+02 6.8e-10 2.86
73 1.2e-06 8.1e-03 7.3e-05 1.00e+00 1.664410458e+02 1.664438023e+02 6.1e-10 2.89
74 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412288e+02 1.664437097e+02 5.5e-10 2.92
75 9.5e-07 8.0e-03 5.9e-05 1.00e+00 1.664413934e+02 1.664436263e+02 4.9e-10 2.95
76 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415415e+02 1.664435511e+02 4.4e-10 2.98
77 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416748e+02 1.664434834e+02 4.0e-10 3.01
78 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417946e+02 1.664434224e+02 3.6e-10 3.04
79 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419025e+02 1.664433675e+02 3.2e-10 3.07
80 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664419995e+02 1.664433180e+02 2.9e-10 3.10
81 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420867e+02 1.664432734e+02 2.6e-10 3.13
82 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421652e+02 1.664432333e+02 2.4e-10 3.16
83 4.1e-07 7.8e-03 2.5e-05 1.00e+00 1.664422359e+02 1.664431971e+02 2.1e-10 3.19
84 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422994e+02 1.664431645e+02 1.9e-10 3.22
85 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423566e+02 1.664431352e+02 1.7e-10 3.25
86 3.0e-07 7.7e-03 1.9e-05 9.99e-01 1.664424080e+02 1.664431088e+02 1.5e-10 3.27
87 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424543e+02 1.664430850e+02 1.4e-10 3.30
88 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424959e+02 1.664430635e+02 1.3e-10 3.33
89 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.664425334e+02 1.664430443e+02 1.1e-10 3.36
90 2.0e-07 7.6e-03 1.2e-05 1.00e+00 1.664425671e+02 1.664430269e+02 1.0e-10 3.39
91 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425975e+02 1.664430113e+02 9.1e-11 3.42
92 1.6e-07 7.6e-03 9.9e-06 1.00e+00 1.664426248e+02 1.664429972e+02 8.2e-11 3.45
93 1.4e-07 7.6e-03 8.9e-06 1.00e+00 1.664426494e+02 1.664429846e+02 7.4e-11 3.47
94 1.3e-07 7.6e-03 8.0e-06 1.00e+00 1.664426716e+02 1.664429732e+02 6.7e-11 3.50
95 1.2e-07 7.6e-03 7.2e-06 1.00e+00 1.664426915e+02 1.664429629e+02 6.0e-11 3.53
96 1.0e-07 7.6e-03 6.5e-06 9.98e-01 1.664427094e+02 1.664429537e+02 5.4e-11 3.56
97 9.4e-08 6.8e-03 5.8e-06 1.00e+00 1.664427256e+02 1.664429454e+02 4.9e-11 3.59
98 8.4e-08 6.1e-03 5.2e-06 9.92e-01 1.664427401e+02 1.664429380e+02 4.4e-11 3.62
99 7.6e-08 5.5e-03 4.7e-06 9.96e-01 1.664427532e+02 1.664429313e+02 3.9e-11 3.65
100 6.8e-08 5.0e-03 4.2e-06 1.00e+00 1.664427650e+02 1.664429252e+02 3.5e-11 3.68
101 6.1e-08 4.5e-03 3.8e-06 9.94e-01 1.664427755e+02 1.664429198e+02 3.2e-11 3.71
102 5.5e-08 4.0e-03 3.4e-06 1.01e+00 1.664427852e+02 1.664429148e+02 2.9e-11 3.74
103 5.0e-08 3.6e-03 3.1e-06 1.00e+00 1.664427938e+02 1.664429104e+02 2.6e-11 3.77
104 4.5e-08 3.3e-03 2.8e-06 1.01e+00 1.664428018e+02 1.664429063e+02 2.3e-11 3.80
105 4.0e-08 2.9e-03 2.5e-06 9.88e-01 1.664428087e+02 1.664429028e+02 2.1e-11 3.83
106 3.6e-08 2.6e-03 2.3e-06 1.01e+00 1.664428150e+02 1.664428995e+02 1.9e-11 3.86
107 3.3e-08 2.4e-03 2.0e-06 9.97e-01 1.664428206e+02 1.664428966e+02 1.7e-11 3.89
108 2.9e-08 2.1e-03 1.8e-06 9.79e-01 1.664428256e+02 1.664428941e+02 1.5e-11 3.92
109 2.6e-08 1.9e-03 1.6e-06 9.59e-01 1.664428301e+02 1.664428919e+02 1.4e-11 3.95
110 2.4e-08 1.7e-03 1.5e-06 1.01e+00 1.664428342e+02 1.664428897e+02 1.2e-11 3.98
111 2.1e-08 1.6e-03 1.3e-06 9.94e-01 1.664428379e+02 1.664428878e+02 1.1e-11 4.01
112 1.9e-08 1.4e-03 1.2e-06 1.02e+00 1.664428415e+02 1.664428859e+02 1.0e-11 4.05
113 1.7e-08 1.3e-03 1.1e-06 9.28e-01 1.664428444e+02 1.664428845e+02 9.2e-12 4.08
114 1.6e-08 1.1e-03 9.7e-07 9.90e-01 1.664428470e+02 1.664428831e+02 8.3e-12 4.11
115 1.4e-08 1.0e-03 8.7e-07 1.04e+00 1.664428499e+02 1.664428816e+02 7.6e-12 4.14
116 1.3e-08 9.2e-04 7.9e-07 1.04e+00 1.664428524e+02 1.664428803e+02 7.0e-12 4.17
117 1.1e-08 8.3e-04 7.1e-07 9.76e-01 1.664428542e+02 1.664428793e+02 6.3e-12 4.20
118 1.0e-08 7.4e-04 6.4e-07 1.03e+00 1.664428561e+02 1.664428784e+02 5.7e-12 4.23
119 9.4e-09 6.7e-04 5.7e-07 9.25e-01 1.664428575e+02 1.664428776e+02 5.1e-12 4.26
120 8.6e-09 6.0e-04 5.2e-07 1.23e+00 1.664428588e+02 1.664428771e+02 4.6e-12 4.29
121 7.9e-09 5.4e-04 4.6e-07 8.99e-01 1.664428600e+02 1.664428766e+02 4.2e-12 4.32
122 7.5e-09 4.9e-04 4.2e-07 1.09e+00 1.664428615e+02 1.664428757e+02 3.9e-12 4.35
123 7.2e-09 4.4e-04 3.8e-07 1.08e+00 1.664428628e+02 1.664428750e+02 3.7e-12 4.39
124 8.9e-09 4.0e-04 3.4e-07 1.27e+00 1.664428635e+02 1.664428749e+02 3.3e-12 4.43
125 8.3e-09 3.6e-04 3.0e-07 6.21e-01 1.664428642e+02 1.664428748e+02 3.0e-12 4.46
126 6.9e-09 3.2e-04 2.7e-07 7.09e-01 1.664428648e+02 1.664428745e+02 2.7e-12 4.49
127 6.9e-09 2.9e-04 2.5e-07 1.13e+00 1.664428658e+02 1.664428738e+02 2.6e-12 4.52
128 7.9e-09 2.6e-04 2.2e-07 6.44e-01 1.664428663e+02 1.664428733e+02 2.3e-12 4.55
129 7.5e-09 2.3e-04 2.0e-07 7.63e-01 1.664428667e+02 1.664428732e+02 2.1e-12 4.58
130 6.6e-09 2.1e-04 1.8e-07 6.18e-01 1.664428671e+02 1.664428730e+02 1.9e-12 4.62
131 5.4e-09 1.9e-04 1.6e-07 1.06e+00 1.664428676e+02 1.664428727e+02 1.7e-12 4.65
132 5.0e-09 1.7e-04 1.5e-07 7.72e-01 1.664428679e+02 1.664428724e+02 1.6e-12 4.68
133 4.6e-09 1.5e-04 1.3e-07 2.22e+00 1.664428682e+02 1.664428722e+02 1.4e-12 4.71
134 6.5e-09 1.4e-04 1.2e-07 5.60e-01 1.664428685e+02 1.664428722e+02 1.3e-12 4.75
135 5.6e-09 1.2e-04 1.1e-07 1.34e+00 1.664428687e+02 1.664428721e+02 1.1e-12 4.79
136 5.6e-09 1.1e-04 1.2e-07 1.00e+00 1.664428682e+02 1.664428719e+02 1.0e-12 4.82
137 5.6e-09 1.0e-04 1.1e-07 5.38e-01 1.664428685e+02 1.664428717e+02 9.2e-13 4.85
Interior-point optimizer terminated. Time: 4.85.
Optimizer terminated. Time: 4.87
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286849e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6644287174e+02 Viol. con: 0e+00 var: 6e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.9 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 : Linux/64-X86
Cores : 20
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 : 20
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 : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280489605e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258746550e+05 3.573540038e+00 4.8e-01 0.12
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197248502e+05 1.020048001e+01 1.9e-01 0.16
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150061316e+05 6.350462991e+01 1.2e-01 0.19
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124090171e+05 2.256518671e+03 1.2e-01 0.23
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.445953633e+04 9.583511609e+03 3.3e-02 0.26
6 3.0e+01 3.8e+01 1.7e+03 -1.95e-01 -4.029031273e+04 1.021235959e+04 1.3e-02 0.28
7 1.8e+01 2.3e+01 9.9e+02 3.95e-01 -2.693752553e+04 6.641967371e+03 7.9e-03 0.32
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.531786596e+04 3.830168268e+03 4.2e-03 0.35
9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.905186929e+03 1.796573230e+03 1.6e-03 0.38
10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.113322525e+03 1.193555021e+03 8.9e-04 0.41
11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.224279619e+03 6.160626362e+02 3.8e-04 0.44
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.207775168e+03 5.913563181e+02 3.7e-04 0.47
13 5.1e-01 6.6e-01 2.8e+01 9.72e-01 -7.035584069e+02 4.268399757e+02 2.3e-04 0.50
14 3.1e-01 4.1e-01 1.8e+01 1.00e+00 -3.505806021e+02 3.411868602e+02 1.4e-04 0.53
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.684455986e+01 2.143802390e+02 5.0e-05 0.56
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.198008658e+01 2.045205052e+02 3.8e-05 0.59
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.510888062e+01 1.869521916e+02 1.9e-05 0.62
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425311903e+02 1.741991265e+02 6.7e-06 0.65
19 6.3e-03 7.2e-02 3.6e-01 1.01e+00 1.556731473e+02 1.695991042e+02 2.9e-06 0.68
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638769100e+02 1.673910526e+02 7.5e-07 0.71
21 8.1e-04 1.1e-01 5.0e-02 9.78e-01 1.650487781e+02 1.669447533e+02 4.1e-07 0.73
22 2.5e-04 1.1e-01 1.6e-02 9.89e-01 1.659980464e+02 1.666010615e+02 1.3e-07 0.77
23 1.2e-04 8.9e-02 7.5e-03 1.01e+00 1.662206384e+02 1.665064893e+02 6.3e-08 0.79
24 4.6e-05 8.6e-02 3.0e-03 1.01e+00 1.663410666e+02 1.664565328e+02 2.6e-08 0.83
25 2.1e-05 7.8e-02 1.4e-03 1.01e+00 1.663845739e+02 1.664381912e+02 1.2e-08 0.86
26 1.9e-05 7.1e-02 1.3e-03 1.00e+00 1.663890840e+02 1.664373676e+02 1.1e-08 0.89
27 1.7e-05 6.5e-02 1.2e-03 1.01e+00 1.663923584e+02 1.664358010e+02 9.7e-09 0.92
28 1.6e-05 5.9e-02 1.0e-03 1.00e+00 1.663953646e+02 1.664344562e+02 8.8e-09 0.95
29 1.4e-05 5.4e-02 9.3e-04 1.00e+00 1.663980551e+02 1.664332315e+02 7.9e-09 0.98
30 1.3e-05 5.0e-02 8.4e-04 1.00e+00 1.664004745e+02 1.664321284e+02 7.1e-09 1.01
31 1.1e-05 4.5e-02 7.5e-04 1.00e+00 1.664026484e+02 1.664311329e+02 6.4e-09 1.04
32 1.0e-05 4.2e-02 6.8e-04 1.00e+00 1.664046022e+02 1.664302349e+02 5.8e-09 1.07
33 9.2e-06 3.8e-02 6.1e-04 1.00e+00 1.664063583e+02 1.664294251e+02 5.2e-09 1.10
34 8.3e-06 3.5e-02 5.5e-04 1.00e+00 1.664079368e+02 1.664286948e+02 4.7e-09 1.14
35 7.5e-06 3.3e-02 5.0e-04 1.00e+00 1.664093558e+02 1.664280362e+02 4.2e-09 1.18
36 6.7e-06 3.0e-02 4.5e-04 1.00e+00 1.664106315e+02 1.664274425e+02 3.8e-09 1.21
37 6.1e-06 2.8e-02 4.0e-04 1.00e+00 1.664117785e+02 1.664269072e+02 3.4e-09 1.24
38 5.5e-06 2.6e-02 3.6e-04 1.00e+00 1.664128097e+02 1.664264247e+02 3.1e-09 1.27
39 4.9e-06 2.4e-02 3.2e-04 1.00e+00 1.664137370e+02 1.664259898e+02 2.8e-09 1.31
40 4.4e-06 2.2e-02 2.9e-04 1.00e+00 1.664145709e+02 1.664255978e+02 2.5e-09 1.34
41 4.0e-06 2.1e-02 2.6e-04 1.00e+00 1.664153207e+02 1.664252445e+02 2.2e-09 1.37
42 3.6e-06 2.0e-02 2.4e-04 1.00e+00 1.664159950e+02 1.664249260e+02 2.0e-09 1.40
43 3.2e-06 1.8e-02 2.1e-04 1.00e+00 1.664166014e+02 1.664246390e+02 1.8e-09 1.42
44 2.9e-06 1.7e-02 1.9e-04 1.00e+00 1.664171467e+02 1.664243803e+02 1.6e-09 1.46
45 2.6e-06 1.6e-02 1.7e-04 1.00e+00 1.664176371e+02 1.664241472e+02 1.5e-09 1.50
46 2.3e-06 1.6e-02 1.6e-04 1.00e+00 1.664180783e+02 1.664239372e+02 1.3e-09 1.53
47 2.1e-06 1.5e-02 1.4e-04 1.00e+00 1.664184751e+02 1.664237480e+02 1.2e-09 1.56
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664188321e+02 1.664235777e+02 1.1e-09 1.58
49 1.7e-06 1.3e-02 1.1e-04 1.00e+00 1.664191533e+02 1.664234242e+02 9.6e-10 1.61
50 1.5e-06 1.3e-02 1.0e-04 1.00e+00 1.664194422e+02 1.664232860e+02 8.6e-10 1.64
51 1.4e-06 1.2e-02 9.2e-05 1.00e+00 1.664197022e+02 1.664231616e+02 7.8e-10 1.67
52 1.2e-06 1.2e-02 8.3e-05 1.00e+00 1.664199361e+02 1.664230495e+02 7.0e-10 1.70
53 1.1e-06 1.1e-02 7.4e-05 1.00e+00 1.664201465e+02 1.664229486e+02 6.3e-10 1.72
54 1.0e-06 1.1e-02 6.7e-05 1.00e+00 1.664203358e+02 1.664228577e+02 5.7e-10 1.76
55 9.1e-07 1.1e-02 6.0e-05 1.00e+00 1.664205061e+02 1.664227758e+02 5.1e-10 1.79
56 8.2e-07 1.0e-02 5.4e-05 1.00e+00 1.664206594e+02 1.664227021e+02 4.6e-10 1.81
57 7.4e-07 1.0e-02 4.9e-05 1.00e+00 1.664207973e+02 1.664226357e+02 4.1e-10 1.84
58 6.6e-07 9.9e-03 4.4e-05 1.00e+00 1.664209213e+02 1.664225759e+02 3.7e-10 1.87
59 6.0e-07 9.7e-03 4.0e-05 1.00e+00 1.664210329e+02 1.664225220e+02 3.3e-10 1.89
60 5.4e-07 9.5e-03 3.6e-05 1.00e+00 1.664211332e+02 1.664224735e+02 3.0e-10 1.92
61 4.8e-07 9.3e-03 3.2e-05 1.00e+00 1.664212235e+02 1.664224297e+02 2.7e-10 1.94
62 4.4e-07 9.1e-03 2.9e-05 9.99e-01 1.664213047e+02 1.664223904e+02 2.4e-10 1.97
63 3.9e-07 9.0e-03 2.6e-05 1.00e+00 1.664213778e+02 1.664223549e+02 2.2e-10 1.99
64 3.5e-07 8.9e-03 2.3e-05 1.00e+00 1.664214435e+02 1.664223229e+02 2.0e-10 2.02
65 3.2e-07 8.7e-03 2.1e-05 1.00e+00 1.664215027e+02 1.664222941e+02 1.8e-10 2.05
66 2.9e-07 8.6e-03 1.9e-05 1.00e+00 1.664215559e+02 1.664222681e+02 1.6e-10 2.09
67 2.6e-07 8.5e-03 1.7e-05 9.99e-01 1.664216037e+02 1.664222448e+02 1.4e-10 2.11
68 2.3e-07 8.4e-03 1.5e-05 1.00e+00 1.664216468e+02 1.664222237e+02 1.3e-10 2.14
69 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664216856e+02 1.664222048e+02 1.2e-10 2.16
70 1.9e-07 8.3e-03 1.2e-05 1.00e+00 1.664217204e+02 1.664221877e+02 1.1e-10 2.19
71 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217518e+02 1.664221723e+02 9.5e-11 2.22
72 1.5e-07 8.1e-03 1.0e-05 1.00e+00 1.664217801e+02 1.664221585e+02 8.5e-11 2.25
73 1.4e-07 8.1e-03 9.0e-06 9.99e-01 1.664218055e+02 1.664221461e+02 7.7e-11 2.28
74 1.2e-07 8.0e-03 8.1e-06 1.00e+00 1.664218283e+02 1.664221349e+02 6.9e-11 2.31
75 1.1e-07 8.0e-03 7.3e-06 1.00e+00 1.664218490e+02 1.664221248e+02 6.2e-11 2.34
76 1.0e-07 7.9e-03 6.6e-06 9.99e-01 1.664218675e+02 1.664221157e+02 5.6e-11 2.36
77 9.0e-08 7.9e-03 5.9e-06 9.99e-01 1.664218841e+02 1.664221076e+02 5.0e-11 2.39
78 8.1e-08 7.9e-03 5.3e-06 9.98e-01 1.664218991e+02 1.664221002e+02 4.5e-11 2.42
79 7.3e-08 7.8e-03 4.8e-06 1.00e+00 1.664219126e+02 1.664220936e+02 4.1e-11 2.45
80 6.5e-08 7.8e-03 4.3e-06 1.00e+00 1.664219248e+02 1.664220877e+02 3.7e-11 2.48
81 5.9e-08 7.8e-03 3.9e-06 1.00e+00 1.664219357e+02 1.664220823e+02 3.3e-11 2.51
82 5.3e-08 7.7e-03 3.5e-06 9.94e-01 1.664219455e+02 1.664220775e+02 3.0e-11 2.54
83 4.8e-08 7.7e-03 3.2e-06 9.90e-01 1.664219544e+02 1.664220732e+02 2.7e-11 2.58
84 4.3e-08 7.7e-03 2.8e-06 9.97e-01 1.664219623e+02 1.664220693e+02 2.4e-11 2.61
85 3.9e-08 7.6e-03 2.6e-06 9.77e-01 1.664219695e+02 1.664220659e+02 2.2e-11 2.63
86 3.5e-08 6.8e-03 2.3e-06 1.01e+00 1.664219762e+02 1.664220625e+02 2.0e-11 2.66
87 3.1e-08 6.1e-03 2.1e-06 9.99e-01 1.664219819e+02 1.664220597e+02 1.8e-11 2.69
88 2.8e-08 5.5e-03 1.9e-06 1.01e+00 1.664219874e+02 1.664220570e+02 1.6e-11 2.71
89 2.5e-08 5.0e-03 1.7e-06 9.95e-01 1.664219921e+02 1.664220547e+02 1.4e-11 2.75
90 2.3e-08 4.5e-03 1.5e-06 1.01e+00 1.664219965e+02 1.664220525e+02 1.3e-11 2.78
91 2.0e-08 4.0e-03 1.4e-06 9.67e-01 1.664220002e+02 1.664220507e+02 1.2e-11 2.81
92 1.8e-08 3.6e-03 1.2e-06 9.95e-01 1.664220036e+02 1.664220491e+02 1.1e-11 2.84
93 1.7e-08 3.3e-03 1.1e-06 9.99e-01 1.664220066e+02 1.664220476e+02 9.5e-12 2.87
94 1.5e-08 2.9e-03 9.9e-07 9.82e-01 1.664220094e+02 1.664220462e+02 8.5e-12 2.89
95 1.3e-08 2.6e-03 8.9e-07 9.58e-01 1.664220118e+02 1.664220451e+02 7.7e-12 2.92
96 1.2e-08 2.4e-03 8.0e-07 9.86e-01 1.664220140e+02 1.664220440e+02 6.9e-12 2.95
97 1.1e-08 2.1e-03 7.2e-07 1.00e+00 1.664220160e+02 1.664220430e+02 6.2e-12 2.98
98 9.8e-09 1.9e-03 6.5e-07 9.50e-01 1.664220178e+02 1.664220421e+02 5.6e-12 3.01
99 8.8e-09 1.7e-03 5.8e-07 1.03e+00 1.664220197e+02 1.664220412e+02 5.1e-12 3.04
100 7.9e-09 1.6e-03 5.3e-07 9.63e-01 1.664220211e+02 1.664220405e+02 4.6e-12 3.06
101 7.1e-09 1.4e-03 4.7e-07 1.00e+00 1.664220224e+02 1.664220398e+02 4.1e-12 3.09
102 6.4e-09 1.3e-03 4.3e-07 1.04e+00 1.664220238e+02 1.664220391e+02 3.8e-12 3.12
103 5.8e-09 1.1e-03 3.8e-07 1.04e+00 1.664220250e+02 1.664220385e+02 3.5e-12 3.14
104 5.3e-09 1.0e-03 3.5e-07 9.38e-01 1.664220259e+02 1.664220381e+02 3.1e-12 3.17
105 4.8e-09 9.2e-04 3.1e-07 1.10e+00 1.664220271e+02 1.664220374e+02 3.0e-12 3.20
106 4.3e-09 8.3e-04 2.8e-07 9.07e-01 1.664220278e+02 1.664220371e+02 2.7e-12 3.23
107 3.9e-09 7.5e-04 2.5e-07 1.02e+00 1.664220284e+02 1.664220368e+02 2.4e-12 3.27
108 3.6e-09 6.7e-04 2.3e-07 1.12e+00 1.664220293e+02 1.664220363e+02 2.3e-12 3.29
109 3.3e-09 6.0e-04 2.0e-07 9.40e-01 1.664220298e+02 1.664220361e+02 2.1e-12 3.32
110 2.9e-09 5.4e-04 1.8e-07 1.02e+00 1.664220302e+02 1.664220359e+02 1.9e-12 3.34
111 2.6e-09 4.9e-04 1.7e-07 1.06e+00 1.664220307e+02 1.664220356e+02 1.8e-12 3.37
112 2.4e-09 4.4e-04 1.5e-07 1.14e+00 1.664220313e+02 1.664220353e+02 1.7e-12 3.39
113 1.6e-09 6.4e-05 2.2e-08 1.09e+00 1.664220336e+02 1.664220342e+02 1.9e-13 3.42
Interior-point optimizer terminated. Time: 3.43.
Optimizer terminated. Time: 3.44
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203360e+02 Viol. con: 4e-08 var: 0e+00
Dual. obj: 1.6642203415e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.47 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 : Linux/64-X86
Cores : 20
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 : 20
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 : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280480907e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258735648e+05 3.573328708e+00 4.8e-01 0.12
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197005120e+05 1.021705271e+01 1.9e-01 0.16
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.149813358e+05 6.382290823e+01 1.2e-01 0.19
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.123855375e+05 2.255174179e+03 1.2e-01 0.22
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.423609758e+04 9.613727034e+03 3.3e-02 0.26
6 3.0e+01 3.8e+01 1.6e+03 -1.92e-01 -4.018141644e+04 1.017431617e+04 1.3e-02 0.29
7 1.8e+01 2.3e+01 9.9e+02 3.96e-01 -2.694056803e+04 6.639007963e+03 7.9e-03 0.32
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.520626151e+04 3.808636724e+03 4.1e-03 0.35
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.318854506e+03 1.679777236e+03 1.4e-03 0.38
10 1.6e+00 2.0e+00 8.9e+01 9.54e-01 -2.417643516e+03 1.055145352e+03 7.1e-04 0.40
11 9.5e-01 1.2e+00 5.3e+01 9.86e-01 -1.370560526e+03 7.033916081e+02 4.2e-04 0.44
12 8.6e-01 1.1e+00 4.8e+01 9.64e-01 -1.258995562e+03 6.421019573e+02 3.8e-04 0.47
13 4.8e-01 6.1e-01 2.7e+01 9.77e-01 -6.393542361e+02 4.225778013e+02 2.1e-04 0.50
14 2.6e-01 3.4e-01 1.4e+01 1.00e+00 -2.623814356e+02 3.061896559e+02 1.2e-04 0.54
15 9.2e-02 1.5e-01 5.3e+00 1.00e+00 -2.393845702e+00 2.056344855e+02 4.3e-05 0.56
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.576547264e+01 2.083367103e+02 4.0e-05 0.59
17 6.0e-02 9.5e-02 3.4e+00 1.02e+00 6.107229687e+01 1.952043213e+02 2.8e-05 0.62
18 3.4e-02 7.3e-02 1.9e+00 1.02e+00 1.081922693e+02 1.827214281e+02 1.6e-05 0.65
19 9.3e-03 1.7e-01 5.4e-01 1.02e+00 1.512033186e+02 1.719127337e+02 4.3e-06 0.69
20 3.4e-03 2.1e-01 2.0e-01 1.01e+00 1.605106230e+02 1.682876632e+02 1.7e-06 0.72
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642779403e+02 1.671863626e+02 6.2e-07 0.74
22 8.5e-04 1.0e-01 5.1e-02 9.84e-01 1.649813555e+02 1.669397481e+02 4.2e-07 0.78
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659710771e+02 1.665859671e+02 1.3e-07 0.81
24 9.4e-05 1.0e-01 6.0e-03 1.01e+00 1.662464773e+02 1.664756791e+02 5.1e-08 0.83
25 3.7e-05 9.6e-02 2.4e-03 1.01e+00 1.663445764e+02 1.664349665e+02 2.0e-08 0.86
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663787300e+02 1.664206000e+02 9.5e-09 0.88
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663822232e+02 1.664199215e+02 8.5e-09 0.91
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663847898e+02 1.664187110e+02 7.7e-09 0.94
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663871434e+02 1.664176672e+02 6.9e-09 0.97
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663892516e+02 1.664167186e+02 6.2e-09 1.01
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663911475e+02 1.664158643e+02 5.6e-09 1.03
32 9.0e-06 4.7e-02 5.9e-04 1.00e+00 1.663928516e+02 1.664150938e+02 5.0e-09 1.06
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663943835e+02 1.664143991e+02 4.5e-09 1.08
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663957608e+02 1.664137729e+02 4.1e-09 1.11
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969991e+02 1.664132084e+02 3.7e-09 1.14
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663981125e+02 1.664126996e+02 3.3e-09 1.17
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663991138e+02 1.664122411e+02 3.0e-09 1.20
38 4.8e-06 2.9e-02 3.1e-04 1.00e+00 1.664000141e+02 1.664118279e+02 2.7e-09 1.23
39 4.3e-06 2.7e-02 2.8e-04 1.00e+00 1.664008238e+02 1.664114555e+02 2.4e-09 1.26
40 3.9e-06 2.5e-02 2.5e-04 1.00e+00 1.664015520e+02 1.664111199e+02 2.2e-09 1.29
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664022068e+02 1.664108175e+02 2.0e-09 1.32
42 3.1e-06 2.1e-02 2.1e-04 1.00e+00 1.664027957e+02 1.664105450e+02 1.8e-09 1.34
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664033254e+02 1.664102994e+02 1.6e-09 1.38
44 2.5e-06 1.9e-02 1.7e-04 1.00e+00 1.664038017e+02 1.664100782e+02 1.4e-09 1.40
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042303e+02 1.664098789e+02 1.3e-09 1.43
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664046158e+02 1.664096994e+02 1.2e-09 1.46
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049626e+02 1.664095377e+02 1.0e-09 1.48
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052746e+02 1.664093922e+02 9.3e-10 1.51
49 1.5e-06 1.4e-02 9.8e-05 1.00e+00 1.664055554e+02 1.664092611e+02 8.4e-10 1.54
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664058080e+02 1.664091431e+02 7.6e-10 1.57
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060352e+02 1.664090368e+02 6.8e-10 1.60
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062397e+02 1.664089411e+02 6.1e-10 1.63
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064236e+02 1.664088549e+02 5.5e-10 1.66
54 8.9e-07 1.2e-02 5.8e-05 1.00e+00 1.664065891e+02 1.664087772e+02 5.0e-10 1.69
55 8.0e-07 1.1e-02 5.2e-05 1.00e+00 1.664067380e+02 1.664087073e+02 4.5e-10 1.72
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068720e+02 1.664086444e+02 4.0e-10 1.75
57 6.5e-07 1.0e-02 4.2e-05 1.00e+00 1.664069925e+02 1.664085876e+02 3.6e-10 1.78
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664071009e+02 1.664085365e+02 3.3e-10 1.80
59 5.2e-07 9.9e-03 3.4e-05 1.00e+00 1.664071985e+02 1.664084905e+02 2.9e-10 1.83
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072862e+02 1.664084490e+02 2.6e-10 1.86
61 4.2e-07 9.5e-03 2.8e-05 1.00e+00 1.664073651e+02 1.664084116e+02 2.4e-10 1.88
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074361e+02 1.664083780e+02 2.1e-10 1.91
63 3.4e-07 9.1e-03 2.3e-05 1.00e+00 1.664074999e+02 1.664083476e+02 1.9e-10 1.95
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075574e+02 1.664083203e+02 1.7e-10 1.98
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076091e+02 1.664082957e+02 1.6e-10 2.01
66 2.5e-07 8.7e-03 1.6e-05 1.00e+00 1.664076556e+02 1.664082735e+02 1.4e-10 2.03
67 2.3e-07 8.6e-03 1.5e-05 9.99e-01 1.664076974e+02 1.664082536e+02 1.3e-10 2.06
68 2.0e-07 8.5e-03 1.3e-05 9.99e-01 1.664077350e+02 1.664082356e+02 1.1e-10 2.09
69 1.8e-07 8.4e-03 1.2e-05 1.00e+00 1.664077689e+02 1.664082194e+02 1.0e-10 2.13
70 1.6e-07 8.3e-03 1.1e-05 9.99e-01 1.664077994e+02 1.664082048e+02 9.2e-11 2.15
71 1.5e-07 8.2e-03 9.7e-06 1.00e+00 1.664078268e+02 1.664081917e+02 8.3e-11 2.18
72 1.3e-07 8.2e-03 8.7e-06 1.00e+00 1.664078515e+02 1.664081799e+02 7.5e-11 2.21
73 1.2e-07 8.1e-03 7.9e-06 9.99e-01 1.664078737e+02 1.664081693e+02 6.7e-11 2.24
74 1.1e-07 8.0e-03 7.1e-06 9.99e-01 1.664078937e+02 1.664081597e+02 6.0e-11 2.26
75 9.7e-08 8.0e-03 6.4e-06 1.00e+00 1.664079117e+02 1.664081511e+02 5.4e-11 2.29
76 8.7e-08 7.9e-03 5.7e-06 1.00e+00 1.664079279e+02 1.664081433e+02 4.9e-11 2.32
77 7.9e-08 7.9e-03 5.2e-06 1.01e+00 1.664079426e+02 1.664081362e+02 4.4e-11 2.35
78 7.1e-08 7.9e-03 4.6e-06 1.01e+00 1.664079559e+02 1.664081298e+02 4.0e-11 2.38
79 6.4e-08 7.9e-03 4.2e-06 9.96e-01 1.664079677e+02 1.664081242e+02 3.6e-11 2.41
80 5.7e-08 7.8e-03 3.8e-06 9.96e-01 1.664079783e+02 1.664081192e+02 3.2e-11 2.44
81 5.2e-08 7.8e-03 3.4e-06 9.95e-01 1.664079878e+02 1.664081146e+02 2.9e-11 2.46
82 4.6e-08 7.0e-03 3.0e-06 1.01e+00 1.664079967e+02 1.664081103e+02 2.6e-11 2.49
83 4.2e-08 6.3e-03 2.7e-06 9.98e-01 1.664080044e+02 1.664081066e+02 2.4e-11 2.52
84 3.8e-08 5.7e-03 2.5e-06 1.01e+00 1.664080115e+02 1.664081032e+02 2.1e-11 2.55
85 3.4e-08 5.1e-03 2.2e-06 9.99e-01 1.664080177e+02 1.664081002e+02 1.9e-11 2.58
86 3.0e-08 4.6e-03 2.0e-06 1.00e+00 1.664080233e+02 1.664080976e+02 1.7e-11 2.61
87 2.7e-08 4.1e-03 1.8e-06 1.01e+00 1.664080285e+02 1.664080950e+02 1.6e-11 2.64
88 2.5e-08 3.7e-03 1.6e-06 9.81e-01 1.664080330e+02 1.664080929e+02 1.4e-11 2.67
89 2.2e-08 3.3e-03 1.5e-06 9.82e-01 1.664080370e+02 1.664080910e+02 1.3e-11 2.71
90 2.0e-08 3.0e-03 1.3e-06 9.83e-01 1.664080406e+02 1.664080893e+02 1.1e-11 2.74
91 1.8e-08 2.7e-03 1.2e-06 1.03e+00 1.664080443e+02 1.664080875e+02 1.0e-11 2.77
92 1.6e-08 2.4e-03 1.1e-06 9.73e-01 1.664080472e+02 1.664080861e+02 9.3e-12 2.80
93 1.5e-08 2.2e-03 9.6e-07 1.00e+00 1.664080498e+02 1.664080848e+02 8.4e-12 2.83
94 1.3e-08 2.0e-03 8.6e-07 1.03e+00 1.664080525e+02 1.664080835e+02 7.7e-12 2.87
95 1.2e-08 1.8e-03 7.7e-07 1.06e+00 1.664080552e+02 1.664080822e+02 7.1e-12 2.90
96 1.1e-08 1.6e-03 7.0e-07 1.02e+00 1.664080571e+02 1.664080812e+02 6.4e-12 2.93
97 9.6e-09 1.4e-03 6.3e-07 1.01e+00 1.664080588e+02 1.664080804e+02 5.8e-12 2.96
98 8.6e-09 1.3e-03 5.6e-07 9.73e-01 1.664080603e+02 1.664080797e+02 5.2e-12 2.99
99 7.8e-09 1.2e-03 5.1e-07 9.50e-01 1.664080616e+02 1.664080791e+02 4.7e-12 3.02
100 7.0e-09 1.1e-03 4.6e-07 9.53e-01 1.664080628e+02 1.664080786e+02 4.2e-12 3.05
101 6.3e-09 9.5e-04 4.1e-07 1.00e+00 1.664080638e+02 1.664080781e+02 3.8e-12 3.08
102 5.8e-09 8.5e-04 3.7e-07 9.50e-01 1.664080648e+02 1.664080776e+02 3.4e-12 3.11
103 5.2e-09 7.7e-04 3.3e-07 1.08e+00 1.664080660e+02 1.664080770e+02 3.2e-12 3.15
104 4.8e-09 6.9e-04 3.0e-07 9.44e-01 1.664080667e+02 1.664080767e+02 2.9e-12 3.18
105 4.3e-09 6.2e-04 2.7e-07 8.88e-01 1.664080674e+02 1.664080764e+02 2.6e-12 3.21
106 3.9e-09 5.6e-04 2.4e-07 9.48e-01 1.664080680e+02 1.664080761e+02 2.3e-12 3.24
107 3.5e-09 5.0e-04 2.2e-07 8.34e-01 1.664080685e+02 1.664080759e+02 2.1e-12 3.27
108 3.1e-09 4.5e-04 2.0e-07 8.87e-01 1.664080690e+02 1.664080757e+02 1.9e-12 3.30
109 2.8e-09 4.1e-04 1.8e-07 1.02e+00 1.664080695e+02 1.664080754e+02 1.7e-12 3.33
110 2.5e-09 3.7e-04 1.6e-07 8.93e-01 1.664080699e+02 1.664080752e+02 1.6e-12 3.36
111 2.3e-09 3.3e-04 1.4e-07 8.80e-01 1.664080702e+02 1.664080751e+02 1.4e-12 3.39
112 2.2e-09 3.0e-04 1.3e-07 8.58e-01 1.664080705e+02 1.664080749e+02 1.3e-12 3.42
113 2.2e-09 2.7e-04 1.2e-07 8.87e-01 1.664080708e+02 1.664080748e+02 1.1e-12 3.45
114 2.1e-09 2.4e-04 1.0e-07 8.84e-01 1.664080711e+02 1.664080747e+02 1.0e-12 3.48
115 3.3e-09 2.8e-05 1.2e-08 7.22e-01 1.664080733e+02 1.664080738e+02 2.1e-13 3.51
Interior-point optimizer terminated. Time: 3.51.
Optimizer terminated. Time: 3.53
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807334e+02 Viol. con: 9e-08 var: 0e+00
Dual. obj: 1.6640807382e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.55 seconds.
Solving took 9 GP solves and 43.2 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: 1.4957406134068056e+110 vs 1.4957028133e+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: 3.705364538621568e+72 vs 3.70524932162e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682493]
Total Aircraft Weight Percent Diff: [-21.48056708]
Engine Weight Percent Diff: -56.27825489082113
Fuselage Weight Percent Diff: -0.8697394728974878
Payload Weight Percent Diff: [-0.04003561]
VT Weight Percent Diff: -8.607913860100934
HT Weight Percent Diff: -93.2333080021332
Wing Weight Percent Diff: 8.267506583856752
WING DIFFERENCES
Wing Span Percent Diff: -0.029993109427158552
Wing Area Percent Diff: 32.899810943328944
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.48877287014672
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022350912858855
VT Area Percent Diff: -60.38684496729708
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54720888]
L/D Percent Diff: [24.01022945]
Nacelle Cd Percent Diff: [-94.27641703]
HT Cd Percent Diff: [-80.76941011] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00295916] dimensionless
Wing Cd percent Diff: [-14.2291599]
Induced Drag Cd Percent Diff: [1.21946206]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035891]
FUSELAGE DIFFERENCES
Weight of HB material: -38.36101283057006
Weight of VB material: 87.81695546167835
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260519]