![[Jenkins]](/csi/static/a404d988/images/svgs/logo.svg){kind=logo}
Passed
gpkit.tests.from_paths.TestFiles.test_SPaircraft_py_mosek (from gpkit.tests.from_paths.TestFiles-20190901131240)
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: 0.05
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 : 0.30 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.07
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 0.36
1 1.1e+03 1.5e+03 6.3e+04 -9.71e-01 -1.265132514e+05 3.611589420e+00 4.9e-01 8.55
2 4.1e+02 5.4e+02 2.3e+04 -9.38e-01 -1.199666169e+05 1.064041138e+01 1.8e-01 15.27
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.156309126e+05 6.812702963e+01 1.3e-01 23.35
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.131522901e+05 2.113211995e+03 1.3e-01 31.80
5 8.8e+01 1.2e+02 5.0e+03 -7.53e-01 -8.096538237e+04 8.430204037e+03 3.9e-02 40.84
6 3.7e+01 4.8e+01 2.1e+03 -2.92e-01 -4.806295568e+04 1.015705753e+04 1.6e-02 41.07
7 2.1e+01 2.8e+01 1.2e+03 2.53e-01 -3.183959973e+04 7.147574260e+03 9.5e-03 41.22
8 9.4e+00 1.2e+01 5.3e+02 5.37e-01 -1.516213576e+04 4.167067597e+03 4.2e-03 41.25
9 5.5e+00 7.2e+00 3.1e+02 8.14e-01 -8.873654488e+03 2.833843752e+03 2.5e-03 41.36
10 1.3e+00 1.8e+00 7.7e+01 9.07e-01 -2.032976954e+03 9.282385087e+02 6.1e-04 48.96
11 7.0e-01 9.2e-01 4.0e+01 9.94e-01 -8.350002142e+02 7.206024908e+02 3.2e-04 56.65
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.846306076e+02 5.632460213e+02 2.1e-04 65.82
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.148957258e+02 4.857769751e+02 1.6e-04 74.27
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.857417116e+01 3.656902710e+02 7.9e-05 74.31
15 5.5e-02 1.5e-01 3.3e+00 9.94e-01 1.620485362e+02 2.901550655e+02 2.6e-05 74.34
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.996394651e+02 2.746181590e+02 1.6e-05 74.38
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.444824012e+02 2.572405213e+02 2.8e-06 74.41
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509288752e+02 2.546905409e+02 8.3e-07 74.44
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527800443e+02 2.540213968e+02 2.8e-07 74.46
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532857302e+02 2.538354980e+02 1.2e-07 74.49
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533271035e+02 2.538219096e+02 1.1e-07 74.52
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533631909e+02 2.538084914e+02 1.0e-07 74.56
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533957124e+02 2.537964664e+02 9.0e-08 74.59
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534249555e+02 2.537856200e+02 8.1e-08 74.62
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534512557e+02 2.537758421e+02 7.3e-08 74.66
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534749084e+02 2.537670264e+02 6.6e-08 74.69
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534961824e+02 2.537590805e+02 5.9e-08 74.72
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535153179e+02 2.537519196e+02 5.3e-08 74.76
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535325308e+02 2.537454669e+02 4.8e-08 74.79
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535480148e+02 2.537396530e+02 4.3e-08 74.82
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535619442e+02 2.537344150e+02 3.9e-08 74.85
32 5.9e-05 2.9e-02 4.0e-03 1.00e+00 2.535744754e+02 2.537296963e+02 3.5e-08 74.89
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535857490e+02 2.537254456e+02 3.1e-08 74.92
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535958915e+02 2.537216167e+02 2.8e-08 74.95
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536050166e+02 2.537181679e+02 2.5e-08 74.99
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536132264e+02 2.537150615e+02 2.3e-08 75.02
37 3.5e-05 2.0e-02 2.4e-03 1.00e+00 2.536206130e+02 2.537122637e+02 2.1e-08 75.05
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536272589e+02 2.537097440e+02 1.9e-08 75.09
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536332386e+02 2.537074747e+02 1.7e-08 75.12
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536386189e+02 2.537054310e+02 1.5e-08 75.15
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536434601e+02 2.537035907e+02 1.4e-08 75.19
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536478161e+02 2.537019335e+02 1.2e-08 75.22
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536517357e+02 2.537004413e+02 1.1e-08 75.25
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536552627e+02 2.536990976e+02 9.8e-09 75.28
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536584365e+02 2.536978878e+02 8.9e-09 75.32
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536612924e+02 2.536967986e+02 8.0e-09 75.35
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536638623e+02 2.536958179e+02 7.2e-09 75.38
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536661750e+02 2.536949350e+02 6.5e-09 75.42
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536682562e+02 2.536941402e+02 5.8e-09 75.45
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536701290e+02 2.536934247e+02 5.2e-09 75.48
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536718144e+02 2.536927806e+02 4.7e-09 75.52
52 7.2e-06 1.0e-02 4.9e-04 1.00e+00 2.536733312e+02 2.536922007e+02 4.2e-09 75.56
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536746961e+02 2.536916788e+02 3.8e-09 75.59
54 5.9e-06 9.6e-03 3.9e-04 1.00e+00 2.536759245e+02 2.536912089e+02 3.4e-09 75.62
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770300e+02 2.536907860e+02 3.1e-09 75.66
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780248e+02 2.536904052e+02 2.8e-09 75.69
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789201e+02 2.536900625e+02 2.5e-09 75.73
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797258e+02 2.536897540e+02 2.3e-09 75.76
59 3.5e-06 8.7e-03 2.3e-04 1.00e+00 2.536804509e+02 2.536894763e+02 2.0e-09 75.80
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811034e+02 2.536892263e+02 1.8e-09 75.83
61 1.2e-06 3.3e-03 8.1e-05 1.00e+00 2.536846840e+02 2.536878533e+02 7.1e-10 75.86
62 1.1e-06 3.0e-03 7.4e-05 1.00e+00 2.536848913e+02 2.536877746e+02 6.5e-10 75.90
63 9.9e-07 2.7e-03 6.7e-05 1.00e+00 2.536850996e+02 2.536876946e+02 5.8e-10 75.93
64 9.0e-07 2.5e-03 6.0e-05 1.00e+00 2.536852778e+02 2.536876263e+02 5.3e-10 75.96
65 8.8e-07 2.5e-03 5.9e-05 1.00e+00 2.536853107e+02 2.536876137e+02 5.2e-10 76.00
66 5.0e-07 1.4e-03 3.4e-05 1.00e+00 2.536860228e+02 2.536873405e+02 3.0e-10 76.03
67 4.9e-07 1.4e-03 3.3e-05 1.00e+00 2.536860412e+02 2.536873334e+02 2.9e-10 76.07
68 4.5e-07 1.3e-03 3.1e-05 1.00e+00 2.536861173e+02 2.536873042e+02 2.7e-10 76.10
69 4.1e-07 1.2e-03 2.8e-05 1.00e+00 2.536861947e+02 2.536872745e+02 2.4e-10 76.14
70 4.1e-07 1.2e-03 2.8e-05 1.00e+00 2.536861976e+02 2.536872733e+02 2.4e-10 76.17
71 3.7e-07 1.0e-03 2.5e-05 1.00e+00 2.536862753e+02 2.536872435e+02 2.2e-10 76.21
72 3.5e-07 1.0e-03 2.4e-05 1.00e+00 2.536863061e+02 2.536872317e+02 2.1e-10 76.24
73 3.5e-07 1.0e-03 2.4e-05 1.00e+00 2.536863086e+02 2.536872307e+02 2.1e-10 76.28
74 3.2e-07 9.0e-04 2.1e-05 1.00e+00 2.536863752e+02 2.536872051e+02 1.9e-10 76.32
75 3.2e-07 9.0e-04 2.1e-05 1.00e+00 2.536863775e+02 2.536872043e+02 1.9e-10 76.35
76 2.8e-07 8.1e-04 1.9e-05 1.00e+00 2.536864372e+02 2.536871813e+02 1.7e-10 76.39
77 2.6e-07 7.3e-04 1.7e-05 1.00e+00 2.536864910e+02 2.536871607e+02 1.5e-10 76.42
78 2.3e-07 6.5e-04 1.5e-05 1.00e+00 2.536865394e+02 2.536871421e+02 1.4e-10 76.45
79 2.1e-07 5.9e-04 1.4e-05 1.00e+00 2.536865807e+02 2.536871262e+02 1.2e-10 76.49
80 1.9e-07 5.4e-04 1.3e-05 1.00e+00 2.536866163e+02 2.536871125e+02 1.1e-10 76.52
81 1.7e-07 4.9e-04 1.2e-05 1.00e+00 2.536866504e+02 2.536870995e+02 1.0e-10 76.56
82 1.7e-07 4.9e-04 1.2e-05 1.00e+00 2.536866516e+02 2.536870990e+02 1.0e-10 76.59
83 1.7e-07 4.9e-04 1.1e-05 1.00e+00 2.536866528e+02 2.536870985e+02 1.0e-10 76.63
84 1.5e-07 4.4e-04 1.0e-05 1.00e+00 2.536866850e+02 2.536870861e+02 9.0e-11 76.66
85 1.5e-07 4.4e-04 1.0e-05 1.00e+00 2.536866861e+02 2.536870857e+02 9.0e-11 76.69
86 1.5e-07 4.4e-04 1.0e-05 1.00e+00 2.536866871e+02 2.536870853e+02 8.9e-11 76.72
87 1.4e-07 3.9e-04 9.2e-06 1.00e+00 2.536867159e+02 2.536870743e+02 8.1e-11 76.75
88 1.2e-07 3.5e-04 8.3e-06 1.00e+00 2.536867418e+02 2.536870643e+02 7.2e-11 76.79
89 1.1e-07 3.2e-04 7.5e-06 1.00e+00 2.536867639e+02 2.536870558e+02 6.6e-11 76.82
90 1.0e-07 2.9e-04 6.8e-06 1.00e+00 2.536867829e+02 2.536870485e+02 6.0e-11 76.85
91 9.7e-08 2.8e-04 6.5e-06 1.00e+00 2.536867914e+02 2.536870452e+02 5.7e-11 76.88
92 9.5e-08 2.7e-04 6.4e-06 1.00e+00 2.536867949e+02 2.536870439e+02 5.6e-11 76.92
93 9.5e-08 2.7e-04 6.4e-06 1.00e+00 2.536867956e+02 2.536870436e+02 5.6e-11 76.96
94 8.5e-08 2.4e-04 5.7e-06 1.00e+00 2.536868135e+02 2.536870367e+02 5.0e-11 76.99
95 8.5e-08 2.4e-04 5.7e-06 1.00e+00 2.536868141e+02 2.536870365e+02 5.0e-11 77.02
96 7.7e-08 2.2e-04 5.2e-06 1.00e+00 2.536868294e+02 2.536870306e+02 4.5e-11 77.05
97 7.0e-08 2.0e-04 4.7e-06 1.00e+00 2.536868432e+02 2.536870253e+02 4.1e-11 77.08
98 7.0e-08 2.0e-04 4.7e-06 1.00e+00 2.536868432e+02 2.536870253e+02 4.1e-11 77.11
99 6.4e-08 1.8e-04 4.3e-06 1.00e+00 2.536868539e+02 2.536870212e+02 3.8e-11 77.14
100 6.4e-08 1.8e-04 4.3e-06 1.00e+00 2.536868539e+02 2.536870212e+02 3.8e-11 77.18
101 5.8e-08 1.7e-04 3.9e-06 1.00e+00 2.536868660e+02 2.536870165e+02 3.4e-11 77.22
102 5.2e-08 1.5e-04 3.5e-06 1.00e+00 2.536868769e+02 2.536870123e+02 3.0e-11 77.25
103 4.8e-08 1.4e-04 3.2e-06 1.00e+00 2.536868848e+02 2.536870093e+02 2.8e-11 77.29
104 4.8e-08 1.4e-04 3.2e-06 1.00e+00 2.536868848e+02 2.536870093e+02 2.8e-11 77.32
105 4.3e-08 1.2e-04 2.9e-06 1.00e+00 2.536868930e+02 2.536870061e+02 2.5e-11 77.36
106 4.3e-08 1.2e-04 2.9e-06 1.00e+00 2.536868930e+02 2.536870061e+02 2.5e-11 77.40
107 3.9e-08 1.1e-04 2.6e-06 1.00e+00 2.536869011e+02 2.536870030e+02 2.3e-11 77.43
108 3.9e-08 1.1e-04 2.6e-06 1.00e+00 2.536869011e+02 2.536870030e+02 2.3e-11 77.47
109 3.5e-08 1.0e-04 2.4e-06 9.99e-01 2.536869085e+02 2.536870002e+02 2.1e-11 77.49
110 3.3e-08 9.4e-05 2.2e-06 1.00e+00 2.536869129e+02 2.536869985e+02 1.9e-11 77.52
111 3.3e-08 9.4e-05 2.2e-06 1.00e+00 2.536869129e+02 2.536869985e+02 1.9e-11 77.55
112 3.3e-08 9.4e-05 2.2e-06 1.00e+00 2.536869129e+02 2.536869985e+02 1.9e-11 77.58
113 2.9e-08 8.5e-05 2.0e-06 1.00e+00 2.536869191e+02 2.536869961e+02 1.7e-11 77.62
114 2.7e-08 7.7e-05 1.8e-06 1.00e+00 2.536869241e+02 2.536869941e+02 1.6e-11 77.65
115 2.4e-08 7.0e-05 1.6e-06 1.00e+00 2.536869287e+02 2.536869924e+02 1.4e-11 77.68
116 2.4e-08 7.0e-05 1.6e-06 9.99e-01 2.536869287e+02 2.536869924e+02 1.4e-11 77.72
117 2.2e-08 6.3e-05 1.5e-06 9.99e-01 2.536869333e+02 2.536869906e+02 1.3e-11 77.75
118 2.0e-08 5.7e-05 1.3e-06 9.99e-01 2.536869374e+02 2.536869890e+02 1.2e-11 77.78
119 1.8e-08 5.1e-05 1.2e-06 1.00e+00 2.536869411e+02 2.536869876e+02 1.0e-11 77.82
120 1.6e-08 4.7e-05 1.1e-06 1.00e+00 2.536869439e+02 2.536869865e+02 9.6e-12 77.85
121 1.5e-08 4.3e-05 9.9e-07 9.99e-01 2.536869468e+02 2.536869854e+02 8.7e-12 77.88
122 1.3e-08 3.8e-05 8.9e-07 1.00e+00 2.536869496e+02 2.536869843e+02 7.8e-12 77.92
123 1.3e-08 3.8e-05 8.9e-07 1.00e+00 2.536869496e+02 2.536869843e+02 7.8e-12 77.95
124 1.2e-08 3.4e-05 8.0e-07 1.00e+00 2.536869521e+02 2.536869834e+02 7.0e-12 77.98
125 1.1e-08 3.2e-05 7.4e-07 1.00e+00 2.536869539e+02 2.536869826e+02 6.5e-12 78.01
126 9.9e-09 2.9e-05 6.7e-07 1.00e+00 2.536869559e+02 2.536869819e+02 5.9e-12 78.05
Interior-point optimizer terminated. Time: 78.05.
Optimizer terminated. Time: 78.08
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695592e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698187e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 78.1 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : 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 0.09
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.264180260e+05 3.781070854e+00 4.7e-01 0.16
2 4.6e+02 6.0e+02 2.6e+04 -9.35e-01 -1.210471961e+05 9.871250673e+00 2.0e-01 0.19
3 2.9e+02 3.8e+02 1.6e+04 -8.50e-01 -1.158624976e+05 5.253701889e+01 1.3e-01 0.23
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.137381539e+05 1.863811989e+03 1.3e-01 0.26
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.842864607e+04 9.038469627e+03 3.6e-02 0.29
6 3.6e+01 4.7e+01 2.0e+03 -2.53e-01 -4.698030049e+04 1.010176985e+04 1.6e-02 0.32
7 1.8e+01 2.4e+01 1.0e+03 2.76e-01 -2.813348701e+04 6.397682952e+03 8.2e-03 0.35
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.477869520e+04 4.004072544e+03 4.0e-03 0.38
9 5.7e+00 7.4e+00 3.2e+02 8.20e-01 -9.247829891e+03 2.776682011e+03 2.5e-03 0.41
10 1.9e+00 2.5e+00 1.1e+02 9.03e-01 -3.003060347e+03 1.154002771e+03 8.5e-04 0.44
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.419019148e+03 1.010907165e+03 7.0e-04 0.47
12 1.0e+00 1.4e+00 5.7e+01 9.77e-01 -1.494909773e+03 7.263450172e+02 4.5e-04 0.50
13 4.7e-01 7.0e-01 2.7e+01 9.83e-01 -6.134620352e+02 4.375216382e+02 2.1e-04 0.54
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.355955494e+02 3.290668995e+02 1.1e-04 0.57
15 1.0e-01 1.7e-01 5.9e+00 1.00e+00 7.317585893e+00 2.369834134e+02 4.7e-05 0.61
16 5.0e-02 1.0e-01 2.9e+00 1.00e+00 9.073386194e+01 2.038614823e+02 2.3e-05 0.64
17 1.0e-02 1.5e-01 6.3e-01 1.01e+00 1.546017192e+02 1.791070629e+02 5.2e-06 0.67
18 6.2e-03 1.0e-01 3.8e-01 1.01e+00 1.615121008e+02 1.764421344e+02 3.2e-06 0.71
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.694752257e+02 1.734658675e+02 8.7e-07 0.74
20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717779144e+02 1.726253081e+02 1.9e-07 0.77
21 1.4e-04 1.0e-01 9.3e-03 9.93e-01 1.721395925e+02 1.725021455e+02 8.2e-08 0.81
22 8.8e-05 8.3e-02 5.9e-03 1.00e+00 1.722353224e+02 1.724645586e+02 5.2e-08 0.84
23 7.9e-05 7.7e-02 5.3e-03 1.00e+00 1.722533712e+02 1.724597544e+02 4.7e-08 0.87
24 7.1e-05 7.0e-02 4.8e-03 1.00e+00 1.722685691e+02 1.724543185e+02 4.2e-08 0.90
25 6.4e-05 6.4e-02 4.3e-03 1.00e+00 1.722822902e+02 1.724494656e+02 3.8e-08 0.94
26 5.8e-05 5.8e-02 3.9e-03 1.00e+00 1.722946101e+02 1.724450675e+02 3.4e-08 0.97
27 5.2e-05 5.3e-02 3.5e-03 1.00e+00 1.723056851e+02 1.724410959e+02 3.1e-08 1.00
28 4.7e-05 4.9e-02 3.1e-03 1.00e+00 1.723156376e+02 1.724375062e+02 2.8e-08 1.03
29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723245813e+02 1.724342619e+02 2.5e-08 1.06
30 3.8e-05 4.1e-02 2.5e-03 1.00e+00 1.723326184e+02 1.724313299e+02 2.2e-08 1.09
31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723398412e+02 1.724286805e+02 2.0e-08 1.12
32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723463326e+02 1.724262871e+02 1.8e-08 1.15
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723521674e+02 1.724241257e+02 1.6e-08 1.18
34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723574126e+02 1.724221745e+02 1.5e-08 1.22
35 2.2e-05 2.8e-02 1.5e-03 1.00e+00 1.723621283e+02 1.724204135e+02 1.3e-08 1.25
36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723663683e+02 1.724188246e+02 1.2e-08 1.29
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723701809e+02 1.724173913e+02 1.1e-08 1.33
38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723736094e+02 1.724160986e+02 9.6e-09 1.36
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723766928e+02 1.724149329e+02 8.6e-09 1.40
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723794659e+02 1.724138819e+02 7.8e-09 1.43
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723819601e+02 1.724129344e+02 7.0e-09 1.46
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723842035e+02 1.724120803e+02 6.3e-09 1.50
43 9.6e-06 1.6e-02 6.5e-04 1.00e+00 1.723862214e+02 1.724113105e+02 5.7e-09 1.53
44 8.7e-06 1.5e-02 5.8e-04 1.00e+00 1.723880366e+02 1.724106168e+02 5.1e-09 1.57
45 7.8e-06 1.5e-02 5.2e-04 1.00e+00 1.723896695e+02 1.724099917e+02 4.6e-09 1.67
46 7.0e-06 1.4e-02 4.7e-04 1.00e+00 1.723911384e+02 1.724094284e+02 4.1e-09 1.70
47 6.3e-06 1.3e-02 4.3e-04 1.00e+00 1.723924599e+02 1.724089209e+02 3.7e-09 1.72
48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723936487e+02 1.724084637e+02 3.3e-09 1.76
49 5.1e-06 1.2e-02 3.4e-04 1.00e+00 1.723947183e+02 1.724080518e+02 3.0e-09 1.79
50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723956806e+02 1.724076808e+02 2.7e-09 1.83
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965464e+02 1.724073466e+02 2.4e-09 1.86
52 3.7e-06 1.1e-02 2.5e-04 1.00e+00 1.723973253e+02 1.724070456e+02 2.2e-09 1.90
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980262e+02 1.724067745e+02 2.0e-09 1.93
54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986569e+02 1.724065304e+02 1.8e-09 1.97
55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992243e+02 1.724063105e+02 1.6e-09 2.00
56 2.5e-06 9.7e-03 1.6e-04 1.00e+00 1.723997349e+02 1.724061125e+02 1.4e-09 2.03
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001943e+02 1.724059342e+02 1.3e-09 2.06
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724006077e+02 1.724057737e+02 1.2e-09 2.09
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009797e+02 1.724056291e+02 1.1e-09 2.12
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013145e+02 1.724054989e+02 9.5e-10 2.15
61 1.4e-06 8.8e-03 9.7e-05 1.00e+00 1.724016157e+02 1.724053817e+02 8.5e-10 2.18
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018867e+02 1.724052762e+02 7.7e-10 2.22
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021306e+02 1.724051811e+02 6.9e-10 2.25
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023501e+02 1.724050956e+02 6.2e-10 2.29
65 9.5e-07 8.4e-03 6.4e-05 1.00e+00 1.724025476e+02 1.724050185e+02 5.6e-10 2.33
66 8.5e-07 8.3e-03 5.7e-05 1.00e+00 1.724027253e+02 1.724049492e+02 5.0e-10 2.36
67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028853e+02 1.724048867e+02 4.5e-10 2.40
68 6.9e-07 8.1e-03 4.7e-05 1.00e+00 1.724030292e+02 1.724048305e+02 4.1e-10 2.44
69 6.2e-07 8.0e-03 4.2e-05 1.00e+00 1.724031587e+02 1.724047799e+02 3.7e-10 2.47
70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032752e+02 1.724047343e+02 3.3e-10 2.51
71 5.0e-07 7.9e-03 3.4e-05 1.00e+00 1.724033801e+02 1.724046933e+02 3.0e-10 2.55
72 4.5e-07 7.9e-03 3.1e-05 9.99e-01 1.724034745e+02 1.724046564e+02 2.7e-10 2.58
73 4.1e-07 7.8e-03 2.7e-05 1.00e+00 1.724035594e+02 1.724046231e+02 2.4e-10 2.61
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036358e+02 1.724045932e+02 2.2e-10 2.64
75 3.3e-07 7.7e-03 2.2e-05 1.00e+00 1.724037046e+02 1.724045662e+02 1.9e-10 2.67
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037665e+02 1.724045419e+02 1.8e-10 2.71
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038222e+02 1.724045201e+02 1.6e-10 2.74
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038723e+02 1.724045004e+02 1.4e-10 2.78
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039174e+02 1.724044826e+02 1.3e-10 2.81
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039580e+02 1.724044667e+02 1.2e-10 2.84
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039945e+02 1.724044523e+02 1.0e-10 2.88
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040274e+02 1.724044394e+02 9.3e-11 2.91
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040569e+02 1.724044278e+02 8.4e-11 2.95
84 1.3e-07 7.5e-03 8.6e-06 1.00e+00 1.724040836e+02 1.724044173e+02 7.5e-11 2.98
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041075e+02 1.724044078e+02 6.8e-11 3.01
86 1.0e-07 7.4e-03 7.0e-06 9.99e-01 1.724041291e+02 1.724043993e+02 6.1e-11 3.04
87 9.4e-08 7.4e-03 6.3e-06 1.00e+00 1.724041485e+02 1.724043917e+02 5.5e-11 3.07
88 8.4e-08 7.4e-03 5.7e-06 9.99e-01 1.724041659e+02 1.724043848e+02 5.0e-11 3.18
89 7.6e-08 7.4e-03 5.1e-06 9.93e-01 1.724041816e+02 1.724043787e+02 4.5e-11 3.21
90 6.8e-08 7.4e-03 4.6e-06 9.98e-01 1.724041957e+02 1.724043731e+02 4.0e-11 3.24
91 6.1e-08 7.4e-03 4.1e-06 1.00e+00 1.724042085e+02 1.724043681e+02 3.6e-11 3.28
92 5.5e-08 7.4e-03 3.7e-06 1.00e+00 1.724042200e+02 1.724043635e+02 3.3e-11 3.31
93 5.0e-08 6.6e-03 3.3e-06 1.01e+00 1.724042305e+02 1.724043594e+02 2.9e-11 3.35
94 4.5e-08 6.0e-03 3.0e-06 1.00e+00 1.724042397e+02 1.724043557e+02 2.6e-11 3.41
95 4.0e-08 5.4e-03 2.7e-06 9.97e-01 1.724042480e+02 1.724043525e+02 2.4e-11 3.46
96 3.6e-08 4.8e-03 2.4e-06 9.97e-01 1.724042555e+02 1.724043495e+02 2.1e-11 3.53
97 3.3e-08 4.3e-03 2.2e-06 9.99e-01 1.724042622e+02 1.724043469e+02 1.9e-11 3.57
98 2.9e-08 3.9e-03 2.0e-06 1.00e+00 1.724042683e+02 1.724043444e+02 1.7e-11 3.63
99 2.6e-08 3.5e-03 1.8e-06 9.97e-01 1.724042738e+02 1.724043423e+02 1.6e-11 3.68
100 2.4e-08 3.2e-03 1.6e-06 1.02e+00 1.724042790e+02 1.724043402e+02 1.4e-11 6.24
101 2.1e-08 2.8e-03 1.4e-06 9.97e-01 1.724042834e+02 1.724043385e+02 1.3e-11 9.20
102 1.9e-08 2.6e-03 1.3e-06 9.97e-01 1.724042873e+02 1.724043369e+02 1.1e-11 14.77
103 1.7e-08 2.3e-03 1.2e-06 9.95e-01 1.724042909e+02 1.724043355e+02 1.0e-11 23.25
104 1.6e-08 2.1e-03 1.0e-06 1.00e+00 1.724042941e+02 1.724043342e+02 9.3e-12 34.11
105 3.9e-09 5.2e-04 2.6e-07 1.01e+00 1.724043156e+02 1.724043256e+02 2.3e-12 42.32
106 3.5e-09 4.7e-04 2.4e-07 9.86e-01 1.724043163e+02 1.724043254e+02 2.1e-12 51.37
107 1.6e-09 1.1e-04 5.8e-08 1.06e+00 1.724043212e+02 1.724043233e+02 4.8e-13 60.87
Interior-point optimizer terminated. Time: 60.88.
Optimizer terminated. Time: 60.91
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432121e+02 Viol. con: 5e-08 var: 0e+00
Dual. obj: 1.7240432333e+02 Viol. con: 0e+00 var: 8e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 60.9 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 : 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 : 0.08 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.05
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 -1.289209256e+05 2.000000000e+00 1.0e+00 0.12
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.267404374e+05 3.637046943e+00 4.8e-01 9.88
2 4.4e+02 5.7e+02 2.4e+04 -9.36e-01 -1.207993251e+05 1.004621975e+01 1.9e-01 19.28
3 2.9e+02 3.8e+02 1.6e+04 -8.43e-01 -1.160618632e+05 5.990662922e+01 1.3e-01 28.69
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.136045213e+05 2.136094024e+03 1.3e-01 38.24
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.752619474e+04 9.316591541e+03 3.5e-02 46.64
6 4.0e+01 5.2e+01 2.2e+03 -2.34e-01 -5.076742399e+04 1.003180048e+04 1.8e-02 56.73
7 3.0e+01 3.9e+01 1.7e+03 2.19e-01 -4.171034978e+04 8.294889486e+03 1.3e-02 65.77
8 1.9e+01 2.4e+01 1.0e+03 3.81e-01 -2.865137583e+04 5.387060278e+03 8.1e-03 74.00
9 7.9e+00 1.0e+01 4.4e+02 6.03e-01 -1.310594697e+04 3.143045415e+03 3.5e-03 82.66
10 4.0e+00 5.2e+00 2.2e+02 8.46e-01 -6.378097851e+03 2.128677339e+03 1.8e-03 91.60
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.514544032e+03 1.314873103e+03 9.9e-04 99.38
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.333949239e+03 6.456458233e+02 4.0e-04 108.28
13 8.2e-01 1.1e+00 4.6e+01 9.70e-01 -1.223648347e+03 5.999353752e+02 3.7e-04 113.57
14 5.9e-01 7.8e-01 3.3e+01 9.74e-01 -8.149789334e+02 4.893551793e+02 2.6e-04 113.61
15 2.2e-01 7.6e-01 1.2e+01 9.90e-01 -1.999801181e+02 2.844532582e+02 9.8e-05 113.64
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.241235910e+01 2.161155885e+02 4.9e-05 113.67
17 7.7e-02 2.8e-01 4.5e+00 1.01e+00 2.681043322e+01 2.015604650e+02 3.6e-05 113.71
18 5.1e-02 2.0e-01 3.0e+00 1.02e+00 7.891994855e+01 1.950359161e+02 2.4e-05 113.74
19 1.4e-02 1.1e-01 8.5e-01 1.00e+00 1.414697313e+02 1.745815673e+02 6.9e-06 113.77
20 4.0e-03 2.2e-01 2.4e-01 1.02e+00 1.602704154e+02 1.696481376e+02 1.9e-06 113.81
21 2.7e-03 2.1e-01 1.6e-01 1.01e+00 1.624283547e+02 1.687369874e+02 1.3e-06 113.84
22 1.9e-03 1.5e-01 1.2e-01 1.00e+00 1.637169794e+02 1.683012364e+02 9.5e-07 113.87
23 7.5e-04 9.5e-02 4.7e-02 1.01e+00 1.658030118e+02 1.676006400e+02 3.8e-07 113.90
24 3.6e-04 7.9e-02 2.3e-02 1.01e+00 1.664694350e+02 1.673480790e+02 1.9e-07 113.94
25 3.3e-04 7.2e-02 2.1e-02 1.01e+00 1.665375538e+02 1.673287270e+02 1.7e-07 113.97
26 3.0e-04 6.6e-02 1.9e-02 1.01e+00 1.665946475e+02 1.673064440e+02 1.5e-07 114.00
27 2.7e-04 6.0e-02 1.7e-02 1.01e+00 1.666462358e+02 1.672866459e+02 1.4e-07 114.04
28 2.4e-04 5.5e-02 1.5e-02 1.01e+00 1.666924300e+02 1.672686286e+02 1.2e-07 114.07
29 2.2e-04 5.0e-02 1.4e-02 1.01e+00 1.667338788e+02 1.672523182e+02 1.1e-07 114.10
30 1.9e-04 4.6e-02 1.2e-02 1.01e+00 1.667710420e+02 1.672375233e+02 9.9e-08 114.13
31 1.7e-04 4.2e-02 1.1e-02 1.01e+00 1.668043640e+02 1.672241039e+02 8.9e-08 114.17
32 1.6e-04 3.8e-02 9.9e-03 1.01e+00 1.668342400e+02 1.672119299e+02 8.0e-08 114.20
33 1.4e-04 3.5e-02 8.9e-03 1.01e+00 1.668610265e+02 1.672008856e+02 7.2e-08 114.23
34 1.3e-04 3.3e-02 8.0e-03 1.01e+00 1.668850442e+02 1.671908673e+02 6.5e-08 114.27
35 1.1e-04 3.0e-02 7.2e-03 1.00e+00 1.669065813e+02 1.671817816e+02 5.8e-08 114.30
36 1.0e-04 2.8e-02 6.5e-03 1.00e+00 1.669258970e+02 1.671735447e+02 5.3e-08 114.33
37 9.3e-05 2.6e-02 5.8e-03 1.00e+00 1.669432234e+02 1.671660802e+02 4.7e-08 114.36
38 8.3e-05 2.4e-02 5.3e-03 1.00e+00 1.669587682e+02 1.671593184e+02 4.3e-08 114.39
39 7.5e-05 2.2e-02 4.7e-03 1.00e+00 1.669727169e+02 1.671531955e+02 3.8e-08 114.43
40 6.8e-05 2.1e-02 4.3e-03 1.00e+00 1.669852354e+02 1.671476531e+02 3.5e-08 114.46
41 6.1e-05 2.0e-02 3.8e-03 1.00e+00 1.669964719e+02 1.671426376e+02 3.1e-08 114.50
42 5.5e-05 1.8e-02 3.4e-03 1.00e+00 1.670065592e+02 1.671381002e+02 2.8e-08 114.53
43 4.9e-05 1.7e-02 3.1e-03 1.00e+00 1.670156160e+02 1.671339967e+02 2.5e-08 114.57
44 4.4e-05 1.6e-02 2.8e-03 1.00e+00 1.670237486e+02 1.671302863e+02 2.3e-08 114.60
45 4.0e-05 1.6e-02 2.5e-03 1.00e+00 1.670310521e+02 1.671269323e+02 2.0e-08 114.64
46 3.6e-05 1.5e-02 2.3e-03 1.00e+00 1.670376118e+02 1.671239012e+02 1.8e-08 114.67
47 3.2e-05 1.4e-02 2.0e-03 1.00e+00 1.670435040e+02 1.671211625e+02 1.7e-08 114.70
48 2.9e-05 1.4e-02 1.8e-03 1.00e+00 1.670487973e+02 1.671186884e+02 1.5e-08 114.74
49 2.6e-05 1.3e-02 1.7e-03 1.00e+00 1.670535531e+02 1.671164539e+02 1.3e-08 114.77
50 2.4e-05 1.3e-02 1.5e-03 1.00e+00 1.670578262e+02 1.671144361e+02 1.2e-08 114.80
51 2.1e-05 1.2e-02 1.3e-03 1.00e+00 1.670616661e+02 1.671126145e+02 1.1e-08 114.89
52 1.9e-05 1.2e-02 1.2e-03 1.00e+00 1.670651169e+02 1.671109702e+02 9.8e-09 115.35
53 1.7e-05 1.1e-02 1.1e-03 1.00e+00 1.670682184e+02 1.671094861e+02 8.8e-09 115.69
54 1.5e-05 1.1e-02 9.7e-04 1.00e+00 1.670710061e+02 1.671081470e+02 7.9e-09 116.05
55 1.4e-05 1.1e-02 8.8e-04 1.00e+00 1.670735120e+02 1.671069388e+02 7.1e-09 116.12
56 1.3e-05 1.0e-02 7.9e-04 1.00e+00 1.670757648e+02 1.671058488e+02 6.4e-09 117.53
57 1.1e-05 1.0e-02 7.1e-04 1.00e+00 1.670777901e+02 1.671048657e+02 5.8e-09 117.94
58 1.0e-05 1.0e-02 6.4e-04 1.00e+00 1.670796110e+02 1.671039791e+02 5.2e-09 122.32
59 9.1e-06 9.8e-03 5.8e-04 1.00e+00 1.670812484e+02 1.671031798e+02 4.7e-09 122.85
60 8.2e-06 9.6e-03 5.2e-04 1.00e+00 1.670827207e+02 1.671024591e+02 4.2e-09 122.98
61 7.4e-06 9.5e-03 4.7e-04 1.00e+00 1.670840448e+02 1.671018094e+02 3.8e-09 123.35
62 6.6e-06 9.3e-03 4.2e-04 1.00e+00 1.670852356e+02 1.671012238e+02 3.4e-09 123.75
63 6.0e-06 9.2e-03 3.8e-04 1.00e+00 1.670863066e+02 1.671006961e+02 3.1e-09 125.79
64 5.4e-06 9.1e-03 3.4e-04 1.00e+00 1.670872699e+02 1.671002205e+02 2.8e-09 126.20
65 2.0e-06 3.4e-03 1.3e-04 1.00e+00 1.670926160e+02 1.670975509e+02 1.1e-09 127.07
66 6.9e-07 1.2e-03 4.4e-05 1.00e+00 1.670947923e+02 1.670964628e+02 3.6e-10 127.25
67 6.2e-07 1.0e-03 3.9e-05 1.00e+00 1.670949066e+02 1.670964100e+02 3.2e-10 130.23
68 5.6e-07 9.4e-04 3.6e-05 1.00e+00 1.670950062e+02 1.670963592e+02 2.9e-10 130.35
69 5.0e-07 8.5e-04 3.2e-05 1.00e+00 1.670950959e+02 1.670963137e+02 2.6e-10 132.85
70 4.5e-07 7.6e-04 2.9e-05 1.00e+00 1.670951767e+02 1.670962726e+02 2.3e-10 134.07
71 4.1e-07 6.9e-04 2.6e-05 1.00e+00 1.670952493e+02 1.670962357e+02 2.1e-10 134.29
72 3.7e-07 6.2e-04 2.3e-05 1.00e+00 1.670953146e+02 1.670962023e+02 1.9e-10 135.63
73 3.3e-07 5.6e-04 2.1e-05 1.00e+00 1.670953734e+02 1.670961722e+02 1.7e-10 135.71
74 3.0e-07 5.0e-04 1.9e-05 1.00e+00 1.670954263e+02 1.670961452e+02 1.5e-10 135.75
75 2.7e-07 4.5e-04 1.7e-05 1.00e+00 1.670954738e+02 1.670961209e+02 1.4e-10 135.79
76 2.4e-07 4.1e-04 1.5e-05 1.00e+00 1.670955166e+02 1.670960989e+02 1.2e-10 135.92
77 2.2e-07 3.7e-04 1.4e-05 1.00e+00 1.670955551e+02 1.670960791e+02 1.1e-10 137.36
78 2.0e-07 3.3e-04 1.2e-05 1.00e+00 1.670955898e+02 1.670960614e+02 1.0e-10 137.72
79 1.8e-07 3.0e-04 1.1e-05 9.98e-01 1.670956209e+02 1.670960454e+02 9.1e-11 138.52
80 1.6e-07 2.7e-04 1.0e-05 9.98e-01 1.670956490e+02 1.670960311e+02 8.2e-11 140.31
81 1.4e-07 2.4e-04 9.0e-06 9.97e-01 1.670956742e+02 1.670960181e+02 7.3e-11 140.37
82 1.3e-07 2.2e-04 8.1e-06 1.00e+00 1.670956969e+02 1.670960064e+02 6.6e-11 140.43
83 1.2e-07 1.9e-04 7.3e-06 9.98e-01 1.670957173e+02 1.670959959e+02 5.9e-11 146.18
84 1.0e-07 1.7e-04 6.6e-06 1.00e+00 1.670957359e+02 1.670959864e+02 5.4e-11 146.94
85 9.3e-08 1.6e-04 5.9e-06 9.96e-01 1.670957524e+02 1.670959779e+02 4.8e-11 147.42
86 8.4e-08 1.4e-04 5.3e-06 1.01e+00 1.670957681e+02 1.670959697e+02 4.4e-11 148.52
87 7.6e-08 1.3e-04 4.8e-06 1.01e+00 1.670957819e+02 1.670959625e+02 3.9e-11 148.96
88 6.8e-08 1.1e-04 4.3e-06 1.01e+00 1.670957941e+02 1.670959562e+02 3.6e-11 150.68
89 6.1e-08 1.0e-04 3.9e-06 1.01e+00 1.670958051e+02 1.670959505e+02 3.2e-11 153.15
90 5.5e-08 9.3e-05 3.5e-06 1.01e+00 1.670958149e+02 1.670959455e+02 2.9e-11 153.83
91 5.0e-08 8.4e-05 3.1e-06 1.00e+00 1.670958235e+02 1.670959411e+02 2.6e-11 153.87
92 4.5e-08 7.5e-05 2.8e-06 9.94e-01 1.670958313e+02 1.670959371e+02 2.3e-11 153.91
93 4.0e-08 6.8e-05 2.6e-06 1.00e+00 1.670958383e+02 1.670959335e+02 2.1e-11 153.94
94 3.6e-08 6.1e-05 2.3e-06 1.01e+00 1.670958447e+02 1.670959302e+02 1.9e-11 153.98
95 3.3e-08 5.5e-05 2.1e-06 1.00e+00 1.670958504e+02 1.670959273e+02 1.7e-11 154.01
96 2.9e-08 4.9e-05 1.9e-06 1.00e+00 1.670958555e+02 1.670959247e+02 1.5e-11 154.05
97 2.6e-08 4.4e-05 1.7e-06 1.01e+00 1.670958602e+02 1.670959222e+02 1.4e-11 154.08
98 2.4e-08 4.0e-05 1.5e-06 9.88e-01 1.670958643e+02 1.670959202e+02 1.3e-11 154.12
99 2.1e-08 3.6e-05 1.4e-06 9.63e-01 1.670958679e+02 1.670959183e+02 1.1e-11 154.15
100 1.9e-08 3.2e-05 1.2e-06 9.65e-01 1.670958712e+02 1.670959167e+02 1.0e-11 154.19
101 1.7e-08 2.9e-05 1.1e-06 1.02e+00 1.670958745e+02 1.670959150e+02 9.2e-12 154.22
Interior-point optimizer terminated. Time: 154.23.
Optimizer terminated. Time: 154.28
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587449e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6709591497e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 154 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 : 0.08 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 -1.286499296e+05 2.000000000e+00 1.0e+00 0.11
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264834068e+05 3.586695367e+00 4.8e-01 4.34
2 4.3e+02 5.6e+02 2.4e+04 -9.36e-01 -1.204818394e+05 1.001252940e+01 1.9e-01 4.37
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.157492284e+05 6.085652345e+01 1.3e-01 4.40
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131499786e+05 2.257753064e+03 1.3e-01 4.44
5 7.4e+01 9.6e+01 4.1e+03 -7.55e-01 -7.449022560e+04 9.842637572e+03 3.3e-02 4.47
6 3.6e+01 4.7e+01 2.0e+03 -1.90e-01 -4.726342527e+04 1.026281574e+04 1.6e-02 4.50
7 2.2e+01 2.9e+01 1.3e+03 2.77e-01 -3.297727483e+04 7.148447373e+03 9.9e-03 4.54
8 1.4e+01 1.7e+01 7.5e+02 5.32e-01 -2.145909662e+04 4.808149082e+03 6.0e-03 4.57
9 5.3e+00 6.9e+00 3.0e+02 7.21e-01 -8.768051119e+03 2.417288445e+03 2.4e-03 4.60
10 2.4e+00 3.1e+00 1.3e+02 9.13e-01 -3.743291205e+03 1.405436738e+03 1.1e-03 4.64
11 1.7e+00 2.3e+00 9.8e+01 9.75e-01 -2.706773798e+03 1.075291950e+03 7.8e-04 4.67
12 8.2e-01 1.1e+00 4.6e+01 9.83e-01 -1.189760208e+03 5.993138375e+02 3.7e-04 4.70
13 7.5e-01 1.1e+00 4.2e+01 9.48e-01 -1.109365250e+03 5.596608204e+02 3.4e-04 4.74
14 6.3e-01 8.8e-01 3.5e+01 9.86e-01 -8.799136013e+02 5.072310312e+02 2.8e-04 4.77
15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.584745789e+02 2.541999979e+02 8.4e-05 4.80
16 1.0e-01 1.7e-01 5.9e+00 1.01e+00 -1.976704429e+01 2.098853013e+02 4.7e-05 4.84
17 1.0e-01 1.7e-01 5.8e+00 1.02e+00 -1.809001566e+01 2.102290851e+02 4.7e-05 4.87
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.591143853e+01 2.106371289e+02 4.0e-05 4.90
19 4.3e-02 9.6e-02 2.5e+00 1.01e+00 9.060674776e+01 1.877232243e+02 2.0e-05 4.94
20 1.2e-02 1.9e-01 6.8e-01 1.01e+00 1.471514230e+02 1.733932176e+02 5.5e-06 4.97
21 4.3e-03 3.6e-01 2.6e-01 1.01e+00 1.590223650e+02 1.689643124e+02 2.1e-06 5.01
22 1.2e-03 1.7e-01 7.5e-02 1.01e+00 1.645644042e+02 1.674296799e+02 6.1e-07 5.04
23 6.7e-04 1.2e-01 4.2e-02 9.81e-01 1.654781166e+02 1.670871822e+02 3.5e-07 5.08
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662934660e+02 1.667797915e+02 1.1e-07 5.11
25 6.2e-05 1.1e-01 4.1e-03 1.01e+00 1.665280883e+02 1.666838815e+02 3.5e-08 5.14
26 2.0e-05 1.1e-01 1.4e-03 1.01e+00 1.666013500e+02 1.666531197e+02 1.2e-08 5.18
27 6.5e-06 1.1e-01 4.4e-04 1.00e+00 1.666261933e+02 1.666427285e+02 3.8e-09 5.21
28 2.2e-06 1.0e-01 1.5e-04 1.00e+00 1.666337612e+02 1.666395174e+02 1.3e-09 5.24
29 7.7e-07 9.7e-02 5.3e-05 1.00e+00 1.666363783e+02 1.666383682e+02 4.5e-10 5.28
30 3.4e-07 8.2e-02 2.3e-05 1.00e+00 1.666371512e+02 1.666380162e+02 2.0e-10 5.31
31 7.3e-08 1.8e-02 5.0e-06 1.00e+00 1.666376160e+02 1.666378045e+02 4.3e-11 5.34
32 6.6e-08 1.6e-02 4.5e-06 9.98e-01 1.666376300e+02 1.666377997e+02 3.9e-11 5.38
33 5.9e-08 1.6e-02 4.1e-06 9.91e-01 1.666376416e+02 1.666377943e+02 3.5e-11 5.41
34 5.3e-08 1.5e-02 3.7e-06 9.98e-01 1.666376520e+02 1.666377895e+02 3.1e-11 5.43
35 4.8e-08 1.4e-02 3.3e-06 9.86e-01 1.666376613e+02 1.666377851e+02 2.8e-11 5.47
36 4.3e-08 1.3e-02 3.0e-06 9.94e-01 1.666376698e+02 1.666377812e+02 2.5e-11 5.50
37 3.9e-08 1.3e-02 2.7e-06 9.81e-01 1.666376773e+02 1.666377777e+02 2.3e-11 5.53
38 3.5e-08 1.2e-02 2.4e-06 9.96e-01 1.666376842e+02 1.666377745e+02 2.1e-11 5.57
39 3.1e-08 1.2e-02 2.2e-06 1.02e+00 1.666376908e+02 1.666377714e+02 1.9e-11 5.60
40 2.8e-08 1.1e-02 1.9e-06 9.85e-01 1.666376963e+02 1.666377688e+02 1.7e-11 5.63
41 2.6e-08 1.1e-02 1.8e-06 9.99e-01 1.666377012e+02 1.666377665e+02 1.5e-11 5.66
42 2.3e-08 1.1e-02 1.6e-06 9.96e-01 1.666377056e+02 1.666377644e+02 1.4e-11 5.68
43 2.1e-08 1.0e-02 1.4e-06 1.00e+00 1.666377097e+02 1.666377625e+02 1.2e-11 5.72
44 1.9e-08 1.0e-02 1.3e-06 9.95e-01 1.666377133e+02 1.666377609e+02 1.1e-11 5.75
45 1.7e-08 9.7e-03 1.1e-06 9.56e-01 1.666377165e+02 1.666377594e+02 1.0e-11 5.78
46 1.5e-08 8.7e-03 1.0e-06 1.02e+00 1.666377197e+02 1.666377579e+02 9.0e-12 5.82
47 1.4e-08 8.5e-03 9.3e-07 9.87e-01 1.666377223e+02 1.666377567e+02 8.1e-12 5.85
48 1.2e-08 8.4e-03 8.4e-07 9.91e-01 1.666377246e+02 1.666377556e+02 7.3e-12 5.88
49 1.1e-08 7.6e-03 7.5e-07 1.01e+00 1.666377268e+02 1.666377545e+02 6.6e-12 5.92
50 9.9e-09 6.8e-03 6.8e-07 1.06e+00 1.666377293e+02 1.666377533e+02 6.2e-12 5.95
51 8.9e-09 6.1e-03 6.1e-07 1.03e+00 1.666377311e+02 1.666377524e+02 5.6e-12 5.98
52 8.0e-09 6.1e-03 5.5e-07 9.04e-01 1.666377325e+02 1.666377518e+02 5.1e-12 6.01
53 7.2e-09 5.5e-03 4.9e-07 1.01e+00 1.666377339e+02 1.666377512e+02 4.6e-12 6.05
54 6.5e-09 4.9e-03 4.5e-07 9.74e-01 1.666377350e+02 1.666377507e+02 4.1e-12 6.10
55 5.8e-09 4.4e-03 4.0e-07 9.90e-01 1.666377361e+02 1.666377502e+02 3.7e-12 6.13
56 5.3e-09 4.0e-03 3.6e-07 1.08e+00 1.666377374e+02 1.666377495e+02 3.5e-12 6.16
57 3.4e-09 2.4e-04 2.2e-08 8.83e-01 1.666377454e+02 1.666377462e+02 3.8e-13 6.19
Interior-point optimizer terminated. Time: 6.20.
Optimizer terminated. Time: 6.23
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774540e+02 Viol. con: 8e-08 var: 0e+00
Dual. obj: 1.6663774617e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 6.25 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 : 0.06 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 -1.286106756e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264422998e+05 3.580364725e+00 4.8e-01 0.14
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.203332247e+05 1.010636806e+01 1.9e-01 0.17
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.156664722e+05 6.247807195e+01 1.3e-01 0.21
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.130152819e+05 2.295884472e+03 1.3e-01 0.24
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.379604771e+04 9.860980313e+03 3.2e-02 0.28
6 3.6e+01 4.6e+01 2.0e+03 -1.80e-01 -4.641914120e+04 1.009611434e+04 1.6e-02 0.31
7 2.1e+01 2.7e+01 1.2e+03 2.91e-01 -3.097466770e+04 6.886210397e+03 9.2e-03 0.35
8 1.2e+01 1.6e+01 6.8e+02 5.65e-01 -1.945486422e+04 4.491371971e+03 5.4e-03 0.38
9 4.7e+00 6.1e+00 2.6e+02 7.53e-01 -7.765150737e+03 2.180676396e+03 2.1e-03 0.41
10 2.3e+00 3.0e+00 1.3e+02 9.26e-01 -3.530371503e+03 1.395529413e+03 1.0e-03 0.44
11 1.5e+00 1.9e+00 8.5e+01 9.77e-01 -2.301317238e+03 9.721199365e+02 6.7e-04 0.48
12 8.5e-01 1.1e+00 4.8e+01 9.85e-01 -1.230530021e+03 6.224921189e+02 3.8e-04 0.66
13 7.5e-01 1.0e+00 4.2e+01 9.54e-01 -1.093830767e+03 5.630528250e+02 3.4e-04 1.23
14 3.7e-01 5.0e-01 2.1e+01 9.85e-01 -4.359006311e+02 3.737949834e+02 1.6e-04 1.44
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.439999986e+02 2.585349383e+02 8.2e-05 1.66
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 4.980069339e+00 2.043015219e+02 4.1e-05 3.19
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.398833270e+01 2.065699300e+02 4.0e-05 4.23
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 5.949229039e+01 1.948373492e+02 2.8e-05 4.26
19 3.0e-02 7.3e-02 1.7e+00 1.01e+00 1.152798156e+02 1.809927736e+02 1.4e-05 4.29
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.525612451e+02 1.716191973e+02 4.0e-06 4.33
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622330953e+02 1.679611390e+02 1.2e-06 4.37
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639702659e+02 1.674409711e+02 7.3e-07 4.41
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656550180e+02 1.668671100e+02 2.6e-07 4.44
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661959809e+02 1.666660325e+02 1.0e-07 4.48
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662326095e+02 1.666555344e+02 9.2e-08 4.63
26 1.6e-04 7.9e-02 1.0e-02 1.01e+00 1.662628642e+02 1.666433547e+02 8.3e-08 4.81
27 1.4e-04 7.2e-02 9.0e-03 1.01e+00 1.662902749e+02 1.666326035e+02 7.5e-08 5.18
28 1.3e-04 6.6e-02 8.1e-03 1.01e+00 1.663148186e+02 1.666228208e+02 6.7e-08 6.11
29 1.2e-04 6.0e-02 7.3e-03 1.01e+00 1.663368450e+02 1.666139698e+02 6.0e-08 6.28
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663566065e+02 1.666059555e+02 5.4e-08 7.21
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663743380e+02 1.665987001e+02 4.9e-08 7.30
32 8.5e-05 4.6e-02 5.3e-03 1.01e+00 1.663902486e+02 1.665921321e+02 4.4e-08 8.61
33 7.6e-05 4.2e-02 4.8e-03 1.01e+00 1.664045265e+02 1.665861873e+02 4.0e-08 9.79
34 6.9e-05 3.8e-02 4.3e-03 1.01e+00 1.664173404e+02 1.665808072e+02 3.6e-08 9.82
35 6.2e-05 3.5e-02 3.9e-03 1.01e+00 1.664288418e+02 1.665759393e+02 3.2e-08 9.86
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664391661e+02 1.665715356e+02 2.9e-08 9.89
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664484348e+02 1.665675528e+02 2.6e-08 9.93
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664567569e+02 1.665639513e+02 2.3e-08 9.96
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664642298e+02 1.665606954e+02 2.1e-08 10.00
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664709408e+02 1.665577524e+02 1.9e-08 10.04
41 3.3e-05 2.2e-02 2.1e-03 1.00e+00 1.664769683e+02 1.665550928e+02 1.7e-08 10.07
42 2.9e-05 2.1e-02 1.9e-03 1.00e+00 1.664823824e+02 1.665526899e+02 1.5e-08 10.11
43 2.7e-05 2.0e-02 1.7e-03 1.00e+00 1.664872461e+02 1.665505192e+02 1.4e-08 10.14
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664916157e+02 1.665485586e+02 1.2e-08 10.17
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664955418e+02 1.665467882e+02 1.1e-08 10.21
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664990699e+02 1.665451899e+02 1.0e-08 10.24
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665022405e+02 1.665437472e+02 9.1e-09 10.28
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665050903e+02 1.665424452e+02 8.2e-09 10.31
49 1.4e-05 1.4e-02 8.9e-04 1.00e+00 1.665076519e+02 1.665412706e+02 7.4e-09 10.35
50 1.3e-05 1.3e-02 8.0e-04 1.00e+00 1.665099548e+02 1.665402111e+02 6.6e-09 10.38
51 1.1e-05 1.3e-02 7.2e-04 1.00e+00 1.665120253e+02 1.665392556e+02 6.0e-09 10.42
52 1.0e-05 1.2e-02 6.5e-04 1.00e+00 1.665138871e+02 1.665383941e+02 5.4e-09 10.44
53 9.3e-06 1.2e-02 5.8e-04 1.00e+00 1.665155613e+02 1.665376174e+02 4.8e-09 10.47
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665170670e+02 1.665369174e+02 4.4e-09 10.50
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665184212e+02 1.665362865e+02 3.9e-09 10.53
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665196393e+02 1.665357180e+02 3.5e-09 10.56
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665207349e+02 1.665352058e+02 3.2e-09 10.59
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217205e+02 1.665347443e+02 2.9e-09 10.62
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226070e+02 1.665343285e+02 2.6e-09 10.66
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234045e+02 1.665339538e+02 2.3e-09 10.69
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241218e+02 1.665336162e+02 2.1e-09 10.72
62 3.6e-06 9.5e-03 2.3e-04 1.00e+00 1.665247670e+02 1.665333121e+02 1.9e-09 10.75
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253474e+02 1.665330379e+02 1.7e-09 10.79
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665258693e+02 1.665327909e+02 1.5e-09 10.82
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263388e+02 1.665325683e+02 1.4e-09 10.85
66 2.4e-06 9.0e-03 1.5e-04 1.00e+00 1.665267611e+02 1.665323677e+02 1.2e-09 10.88
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271410e+02 1.665321869e+02 1.1e-09 10.92
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665274828e+02 1.665320242e+02 1.0e-09 10.95
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665277903e+02 1.665318775e+02 9.0e-10 10.98
70 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.665280669e+02 1.665317454e+02 8.1e-10 11.01
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283157e+02 1.665316264e+02 7.3e-10 11.05
72 1.3e-06 8.5e-03 7.9e-05 1.00e+00 1.665285395e+02 1.665315192e+02 6.5e-10 11.08
73 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.665287409e+02 1.665314227e+02 5.9e-10 11.11
74 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.665289220e+02 1.665313356e+02 5.3e-10 11.15
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290850e+02 1.665312572e+02 4.8e-10 11.18
76 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.665292315e+02 1.665311866e+02 4.3e-10 11.22
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293634e+02 1.665311229e+02 3.9e-10 11.25
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294819e+02 1.665310655e+02 3.5e-10 11.29
79 6.0e-07 8.2e-03 3.8e-05 9.99e-01 1.665295885e+02 1.665310139e+02 3.1e-10 11.32
80 5.4e-07 8.2e-03 3.4e-05 9.98e-01 1.665296844e+02 1.665309673e+02 2.8e-10 11.35
81 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.665297706e+02 1.665309253e+02 2.5e-10 11.39
82 4.4e-07 8.1e-03 2.7e-05 9.99e-01 1.665298482e+02 1.665308874e+02 2.3e-10 11.42
83 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.665299179e+02 1.665308532e+02 2.1e-10 11.47
84 3.5e-07 8.0e-03 2.2e-05 1.00e+00 1.665299807e+02 1.665308224e+02 1.8e-10 11.51
85 3.2e-07 8.0e-03 2.0e-05 9.98e-01 1.665300371e+02 1.665307947e+02 1.7e-10 11.54
86 2.9e-07 8.0e-03 1.8e-05 1.01e+00 1.665300879e+02 1.665307695e+02 1.5e-10 11.58
87 2.6e-07 8.0e-03 1.6e-05 9.99e-01 1.665301335e+02 1.665307470e+02 1.3e-10 11.61
88 2.3e-07 8.0e-03 1.5e-05 1.00e+00 1.665301745e+02 1.665307266e+02 1.2e-10 11.65
89 2.1e-07 7.9e-03 1.3e-05 9.97e-01 1.665302114e+02 1.665307083e+02 1.1e-10 11.68
90 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.665302447e+02 1.665306918e+02 9.8e-11 11.72
91 1.7e-07 7.9e-03 1.1e-05 9.94e-01 1.665302745e+02 1.665306771e+02 8.8e-11 11.75
92 1.5e-07 7.9e-03 9.6e-06 9.99e-01 1.665303014e+02 1.665306637e+02 8.0e-11 11.79
93 1.4e-07 7.8e-03 8.6e-06 9.94e-01 1.665303256e+02 1.665306517e+02 7.2e-11 11.82
94 1.2e-07 7.8e-03 7.7e-06 9.97e-01 1.665303473e+02 1.665306409e+02 6.4e-11 11.86
95 1.1e-07 7.8e-03 7.0e-06 1.00e+00 1.665303669e+02 1.665306311e+02 5.8e-11 11.89
96 1.0e-07 7.7e-03 6.3e-06 9.85e-01 1.665303845e+02 1.665306225e+02 5.2e-11 11.93
97 9.0e-08 7.0e-03 5.6e-06 1.00e+00 1.665304003e+02 1.665306145e+02 4.7e-11 11.96
98 8.1e-08 6.3e-03 5.1e-06 1.00e+00 1.665304146e+02 1.665306074e+02 4.2e-11 12.00
99 7.3e-08 5.6e-03 4.6e-06 1.00e+00 1.665304275e+02 1.665306009e+02 3.8e-11 12.03
100 6.5e-08 5.1e-03 4.1e-06 1.01e+00 1.665304395e+02 1.665305949e+02 3.4e-11 12.07
101 5.9e-08 4.6e-03 3.7e-06 1.00e+00 1.665304499e+02 1.665305896e+02 3.1e-11 12.10
102 5.3e-08 4.1e-03 3.3e-06 9.96e-01 1.665304592e+02 1.665305850e+02 2.8e-11 12.14
103 4.8e-08 3.7e-03 3.0e-06 1.01e+00 1.665304680e+02 1.665305805e+02 2.5e-11 12.18
104 4.3e-08 3.3e-03 2.7e-06 9.93e-01 1.665304755e+02 1.665305768e+02 2.3e-11 12.21
105 3.9e-08 3.0e-03 2.4e-06 9.83e-01 1.665304822e+02 1.665305735e+02 2.0e-11 12.24
106 3.5e-08 2.7e-03 2.2e-06 9.78e-01 1.665304883e+02 1.665305705e+02 1.8e-11 12.27
107 3.1e-08 2.4e-03 2.0e-06 1.01e+00 1.665304939e+02 1.665305677e+02 1.7e-11 12.30
108 2.8e-08 2.2e-03 1.8e-06 9.97e-01 1.665304988e+02 1.665305652e+02 1.5e-11 12.33
109 2.5e-08 2.0e-03 1.6e-06 9.81e-01 1.665305032e+02 1.665305631e+02 1.3e-11 12.37
110 2.3e-08 1.8e-03 1.4e-06 1.05e+00 1.665305080e+02 1.665305605e+02 1.2e-11 12.40
111 2.1e-08 1.6e-03 1.3e-06 1.02e+00 1.665305119e+02 1.665305586e+02 1.1e-11 12.43
112 1.9e-08 1.4e-03 1.2e-06 1.03e+00 1.665305155e+02 1.665305567e+02 1.0e-11 12.47
113 1.7e-08 1.3e-03 1.0e-06 1.04e+00 1.665305188e+02 1.665305550e+02 9.5e-12 12.50
114 1.5e-08 1.2e-03 9.4e-07 9.84e-01 1.665305212e+02 1.665305538e+02 8.5e-12 12.54
115 1.4e-08 1.0e-03 8.5e-07 1.00e+00 1.665305234e+02 1.665305527e+02 7.7e-12 12.57
116 1.2e-08 9.4e-04 7.6e-07 1.07e+00 1.665305260e+02 1.665305514e+02 7.2e-12 12.61
117 1.1e-08 8.5e-04 6.9e-07 9.97e-01 1.665305277e+02 1.665305505e+02 6.4e-12 12.64
118 9.9e-09 7.6e-04 6.2e-07 1.07e+00 1.665305298e+02 1.665305494e+02 6.0e-12 12.68
119 9.0e-09 6.9e-04 5.6e-07 1.03e+00 1.665305312e+02 1.665305487e+02 5.5e-12 12.71
120 8.1e-09 6.2e-04 5.0e-07 9.96e-01 1.665305324e+02 1.665305482e+02 4.9e-12 12.74
121 7.3e-09 5.6e-04 4.5e-07 9.95e-01 1.665305335e+02 1.665305476e+02 4.4e-12 12.78
122 6.6e-09 5.0e-04 4.1e-07 9.19e-01 1.665305344e+02 1.665305472e+02 4.0e-12 12.81
123 6.0e-09 4.5e-04 3.6e-07 1.13e+00 1.665305358e+02 1.665305465e+02 3.8e-12 12.85
124 5.8e-09 4.1e-04 3.3e-07 1.21e+00 1.665305372e+02 1.665305457e+02 3.8e-12 12.88
125 5.3e-09 3.6e-04 3.0e-07 1.31e+00 1.665305378e+02 1.665305453e+02 3.4e-12 12.93
126 4.8e-09 3.3e-04 2.7e-07 9.41e-01 1.665305383e+02 1.665305451e+02 3.1e-12 12.99
127 4.3e-09 3.0e-04 2.4e-07 6.97e-01 1.665305388e+02 1.665305450e+02 2.8e-12 13.03
128 3.8e-09 2.7e-04 2.2e-07 9.08e-01 1.665305392e+02 1.665305448e+02 2.5e-12 13.21
129 3.4e-09 2.4e-04 1.9e-07 1.03e+00 1.665305396e+02 1.665305446e+02 2.3e-12 13.33
130 7.9e-10 2.6e-05 2.2e-08 1.02e+00 1.665305426e+02 1.665305432e+02 2.4e-13 13.44
Interior-point optimizer terminated. Time: 13.45.
Optimizer terminated. Time: 13.49
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054263e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.6653054317e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 13.5 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : 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 -1.286069769e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264280193e+05 3.575761870e+00 4.8e-01 0.32
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.202644004e+05 1.018045721e+01 1.9e-01 0.35
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.155864887e+05 6.347815147e+01 1.2e-01 0.38
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.129604927e+05 2.275510718e+03 1.2e-01 0.41
5 7.5e+01 9.6e+01 4.2e+03 -7.53e-01 -7.467601446e+04 9.661757869e+03 3.3e-02 0.44
6 3.3e+01 4.2e+01 1.8e+03 -1.93e-01 -4.344579633e+04 1.030575813e+04 1.4e-02 0.47
7 1.9e+01 2.5e+01 1.1e+03 3.43e-01 -2.866907441e+04 6.921978905e+03 8.5e-03 0.51
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.820601437e+04 4.395211191e+03 5.0e-03 0.54
9 4.5e+00 5.8e+00 2.5e+02 7.73e-01 -7.371159595e+03 2.103310725e+03 2.0e-03 0.57
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.215008083e+03 1.325827185e+03 9.3e-04 0.60
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.014781845e+03 8.899314283e+02 6.0e-04 0.63
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.165880162e+03 6.060253917e+02 3.6e-04 0.66
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.120727352e+02 5.060816941e+02 2.9e-04 0.69
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.191575973e+02 3.802496235e+02 1.6e-04 0.72
15 1.8e-01 2.4e-01 1.0e+01 9.93e-01 -1.346741473e+02 2.582539410e+02 8.0e-05 0.76
16 7.9e-02 1.4e-01 4.6e+00 1.01e+00 2.126495181e+01 1.996189770e+02 3.7e-05 0.79
17 6.8e-02 1.2e-01 3.9e+00 1.02e+00 4.474379272e+01 1.978743266e+02 3.2e-05 0.82
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.178011962e+02 1.806433574e+02 1.3e-05 0.85
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.531895255e+02 1.714405730e+02 3.8e-06 0.88
20 2.9e-03 2.3e-01 1.7e-01 1.00e+00 1.613918418e+02 1.680580461e+02 1.4e-06 0.91
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635875590e+02 1.674596880e+02 8.2e-07 0.95
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656228811e+02 1.668056585e+02 2.5e-07 0.98
23 1.9e-04 1.0e-01 1.2e-02 1.01e+00 1.661601841e+02 1.666051269e+02 9.8e-08 1.01
24 8.5e-05 8.7e-02 5.4e-03 1.01e+00 1.663313458e+02 1.665357384e+02 4.5e-08 1.05
25 3.9e-05 7.9e-02 2.5e-03 1.01e+00 1.664099042e+02 1.665032894e+02 2.1e-08 1.08
26 3.5e-05 7.2e-02 2.2e-03 1.01e+00 1.664180437e+02 1.665021149e+02 1.9e-08 1.12
27 3.1e-05 6.6e-02 2.0e-03 1.01e+00 1.664237562e+02 1.664993914e+02 1.7e-08 1.15
28 2.8e-05 6.0e-02 1.8e-03 1.01e+00 1.664290258e+02 1.664970830e+02 1.5e-08 1.18
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664337406e+02 1.664949793e+02 1.4e-08 1.21
30 2.3e-05 5.0e-02 1.5e-03 1.01e+00 1.664379787e+02 1.664930833e+02 1.2e-08 1.25
31 2.1e-05 4.6e-02 1.3e-03 1.00e+00 1.664417853e+02 1.664913711e+02 1.1e-08 1.28
32 1.8e-05 4.2e-02 1.2e-03 1.00e+00 1.664452054e+02 1.664898258e+02 1.0e-08 1.31
33 1.7e-05 3.9e-02 1.1e-03 1.00e+00 1.664482784e+02 1.664884313e+02 9.0e-09 1.35
34 1.5e-05 3.6e-02 9.6e-04 1.00e+00 1.664510400e+02 1.664871730e+02 8.1e-09 1.38
35 1.3e-05 3.3e-02 8.6e-04 1.00e+00 1.664535219e+02 1.664860380e+02 7.3e-09 1.41
36 1.2e-05 3.0e-02 7.8e-04 1.00e+00 1.664557527e+02 1.664850143e+02 6.5e-09 1.45
37 1.1e-05 2.8e-02 7.0e-04 1.00e+00 1.664577581e+02 1.664840911e+02 5.9e-09 1.48
38 9.8e-06 2.6e-02 6.3e-04 1.00e+00 1.664595609e+02 1.664832588e+02 5.3e-09 1.51
39 8.8e-06 2.4e-02 5.7e-04 1.00e+00 1.664611818e+02 1.664825084e+02 4.8e-09 1.55
40 8.0e-06 2.3e-02 5.1e-04 1.00e+00 1.664626394e+02 1.664818320e+02 4.3e-09 1.58
41 7.2e-06 2.1e-02 4.6e-04 1.00e+00 1.664639501e+02 1.664812225e+02 3.9e-09 1.61
42 6.4e-06 2.0e-02 4.1e-04 1.00e+00 1.664651289e+02 1.664806733e+02 3.5e-09 1.65
43 5.8e-06 1.9e-02 3.7e-04 1.00e+00 1.664661891e+02 1.664801785e+02 3.1e-09 1.68
44 5.2e-06 1.7e-02 3.3e-04 1.00e+00 1.664671428e+02 1.664797326e+02 2.8e-09 1.71
45 4.7e-06 1.6e-02 3.0e-04 1.00e+00 1.664680006e+02 1.664793311e+02 2.5e-09 1.75
46 4.2e-06 1.6e-02 2.7e-04 1.00e+00 1.664687722e+02 1.664789694e+02 2.3e-09 1.78
47 3.8e-06 1.5e-02 2.4e-04 1.00e+00 1.664694663e+02 1.664786436e+02 2.1e-09 1.81
48 3.4e-06 1.4e-02 2.2e-04 1.00e+00 1.664700908e+02 1.664783501e+02 1.8e-09 1.85
49 3.1e-06 1.3e-02 2.0e-04 1.00e+00 1.664706525e+02 1.664780857e+02 1.7e-09 1.88
50 2.8e-06 1.3e-02 1.8e-04 1.00e+00 1.664711578e+02 1.664778476e+02 1.5e-09 1.91
51 2.5e-06 1.2e-02 1.6e-04 1.00e+00 1.664716125e+02 1.664776332e+02 1.3e-09 1.95
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664720216e+02 1.664774402e+02 1.2e-09 1.98
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664723897e+02 1.664772664e+02 1.1e-09 2.01
54 1.8e-06 1.1e-02 1.2e-04 1.00e+00 1.664727209e+02 1.664771099e+02 9.8e-10 2.05
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664730191e+02 1.664769691e+02 8.9e-10 2.08
56 1.5e-06 1.0e-02 9.4e-05 1.00e+00 1.664732873e+02 1.664768423e+02 8.0e-10 2.11
57 1.3e-06 1.0e-02 8.5e-05 1.00e+00 1.664735288e+02 1.664767283e+02 7.2e-10 2.15
58 1.2e-06 9.9e-03 7.6e-05 1.00e+00 1.664737460e+02 1.664766256e+02 6.5e-10 2.18
59 1.1e-06 9.6e-03 6.9e-05 1.00e+00 1.664739416e+02 1.664765331e+02 5.8e-10 2.21
60 9.7e-07 9.4e-03 6.2e-05 1.00e+00 1.664741175e+02 1.664764499e+02 5.2e-10 2.25
61 8.7e-07 9.2e-03 5.6e-05 1.00e+00 1.664742758e+02 1.664763750e+02 4.7e-10 2.28
62 7.8e-07 9.1e-03 5.0e-05 1.00e+00 1.664744183e+02 1.664763076e+02 4.2e-10 2.31
63 7.1e-07 8.9e-03 4.5e-05 1.00e+00 1.664745465e+02 1.664762469e+02 3.8e-10 2.34
64 6.3e-07 8.8e-03 4.1e-05 1.00e+00 1.664746618e+02 1.664761922e+02 3.4e-10 2.38
65 5.7e-07 8.7e-03 3.7e-05 1.00e+00 1.664747656e+02 1.664761430e+02 3.1e-10 2.41
66 5.1e-07 8.6e-03 3.3e-05 1.00e+00 1.664748590e+02 1.664760986e+02 2.8e-10 2.44
67 4.6e-07 8.5e-03 3.0e-05 1.00e+00 1.664749429e+02 1.664760586e+02 2.5e-10 2.48
68 4.2e-07 8.4e-03 2.7e-05 1.00e+00 1.664750185e+02 1.664760226e+02 2.3e-10 2.51
69 3.7e-07 8.3e-03 2.4e-05 1.00e+00 1.664750864e+02 1.664759901e+02 2.0e-10 2.54
70 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664751475e+02 1.664759609e+02 1.8e-10 2.58
71 3.0e-07 8.2e-03 1.9e-05 1.00e+00 1.664752026e+02 1.664759345e+02 1.6e-10 2.61
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752521e+02 1.664759107e+02 1.5e-10 2.64
73 2.5e-07 8.1e-03 1.6e-05 1.00e+00 1.664752966e+02 1.664758893e+02 1.3e-10 2.68
74 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664753366e+02 1.664758701e+02 1.2e-10 2.71
75 2.0e-07 8.0e-03 1.3e-05 9.97e-01 1.664753726e+02 1.664758528e+02 1.1e-10 2.74
76 1.8e-07 7.9e-03 1.1e-05 9.99e-01 1.664754050e+02 1.664758372e+02 9.7e-11 2.77
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754342e+02 1.664758231e+02 8.7e-11 2.82
78 1.5e-07 7.8e-03 9.3e-06 1.00e+00 1.664754605e+02 1.664758105e+02 7.8e-11 2.89
79 1.3e-07 7.8e-03 8.4e-06 1.00e+00 1.664754841e+02 1.664757991e+02 7.1e-11 2.96
80 1.2e-07 7.8e-03 7.5e-06 9.98e-01 1.664755053e+02 1.664757889e+02 6.4e-11 3.00
81 1.1e-07 7.0e-03 6.8e-06 1.00e+00 1.664755247e+02 1.664757795e+02 5.7e-11 3.04
82 9.5e-08 6.3e-03 6.1e-06 1.00e+00 1.664755419e+02 1.664757712e+02 5.2e-11 3.08
83 8.6e-08 5.7e-03 5.5e-06 9.97e-01 1.664755573e+02 1.664757638e+02 4.6e-11 3.12
84 7.7e-08 5.1e-03 4.9e-06 9.97e-01 1.664755712e+02 1.664757571e+02 4.2e-11 3.17
85 6.9e-08 4.6e-03 4.4e-06 1.01e+00 1.664755841e+02 1.664757508e+02 3.8e-11 3.22
86 6.3e-08 4.1e-03 4.0e-06 1.01e+00 1.664755956e+02 1.664757452e+02 3.4e-11 3.28
87 5.6e-08 3.7e-03 3.6e-06 1.00e+00 1.664756058e+02 1.664757403e+02 3.1e-11 3.34
88 5.1e-08 3.3e-03 3.2e-06 1.00e+00 1.664756148e+02 1.664757359e+02 2.8e-11 3.39
89 4.6e-08 3.0e-03 2.9e-06 1.01e+00 1.664756233e+02 1.664757318e+02 2.5e-11 3.45
90 4.1e-08 2.7e-03 2.6e-06 1.02e+00 1.664756312e+02 1.664757280e+02 2.3e-11 3.55
91 3.7e-08 2.4e-03 2.4e-06 9.95e-01 1.664756377e+02 1.664757248e+02 2.0e-11 3.78
92 3.3e-08 2.2e-03 2.1e-06 1.00e+00 1.664756436e+02 1.664757220e+02 1.8e-11 3.85
93 3.0e-08 2.0e-03 1.9e-06 1.01e+00 1.664756491e+02 1.664757193e+02 1.7e-11 4.08
94 2.7e-08 1.8e-03 1.7e-06 9.96e-01 1.664756538e+02 1.664757171e+02 1.5e-11 4.12
95 2.4e-08 1.6e-03 1.6e-06 1.02e+00 1.664756584e+02 1.664757148e+02 1.3e-11 4.15
96 2.2e-08 1.4e-03 1.4e-06 1.03e+00 1.664756627e+02 1.664757127e+02 1.2e-11 4.18
97 2.0e-08 1.3e-03 1.3e-06 9.86e-01 1.664756661e+02 1.664757111e+02 1.1e-11 4.21
98 1.8e-08 1.2e-03 1.1e-06 9.92e-01 1.664756691e+02 1.664757097e+02 1.0e-11 4.25
99 1.6e-08 1.1e-03 1.0e-06 1.03e+00 1.664756722e+02 1.664757082e+02 9.1e-12 4.28
100 1.4e-08 9.5e-04 9.2e-07 9.57e-01 1.664756746e+02 1.664757071e+02 8.2e-12 4.32
101 1.3e-08 8.5e-04 8.2e-07 1.00e+00 1.664756768e+02 1.664757060e+02 7.4e-12 4.35
102 1.2e-08 7.7e-04 7.4e-07 1.00e+00 1.664756788e+02 1.664757051e+02 6.6e-12 4.38
103 1.0e-08 6.9e-04 6.7e-07 1.04e+00 1.664756808e+02 1.664757040e+02 6.1e-12 4.42
104 9.4e-09 6.2e-04 6.0e-07 9.76e-01 1.664756824e+02 1.664757033e+02 5.5e-12 4.45
105 2.0e-09 6.6e-05 6.4e-08 1.01e+00 1.664756950e+02 1.664756972e+02 5.7e-13 4.49
Interior-point optimizer terminated. Time: 4.50.
Optimizer terminated. Time: 4.52
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569498e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.6647569720e+02 Viol. con: 0e+00 var: 4e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.55 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 : 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 : 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 -1.285358115e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263542084e+05 3.574445403e+00 4.8e-01 2.71
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201589839e+05 1.021557368e+01 1.9e-01 2.74
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154719096e+05 6.399729452e+01 1.2e-01 2.77
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.128614121e+05 2.263779730e+03 1.2e-01 2.80
5 7.5e+01 9.7e+01 4.2e+03 -7.52e-01 -7.480779725e+04 9.600062269e+03 3.3e-02 2.83
6 3.0e+01 3.9e+01 1.7e+03 -1.96e-01 -4.068260303e+04 1.026884543e+04 1.3e-02 2.86
7 1.8e+01 2.3e+01 1.0e+03 3.91e-01 -2.712642651e+04 6.680828428e+03 7.9e-03 2.89
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.569348014e+04 3.889194794e+03 4.3e-03 2.92
9 3.9e+00 5.0e+00 2.2e+02 8.12e-01 -6.429900188e+03 1.893857787e+03 1.7e-03 2.95
10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.286662453e+03 1.204163935e+03 9.2e-04 2.98
11 1.0e+00 1.3e+00 5.9e+01 9.80e-01 -1.544907652e+03 7.354981801e+02 4.7e-04 3.01
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.184144190e+03 6.013334697e+02 3.6e-04 3.05
13 4.8e-01 6.2e-01 2.7e+01 9.74e-01 -6.381737705e+02 4.207790434e+02 2.1e-04 3.09
14 2.6e-01 3.6e-01 1.5e+01 1.00e+00 -2.719683031e+02 3.085276612e+02 1.2e-04 3.19
15 9.7e-02 1.5e-01 5.5e+00 1.00e+00 -1.008403397e+01 2.072320561e+02 4.5e-05 3.35
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.581181278e+01 2.085963284e+02 4.0e-05 3.42
17 5.4e-02 8.8e-02 3.1e+00 1.02e+00 7.237547267e+01 1.919308734e+02 2.5e-05 3.60
18 2.3e-02 6.9e-02 1.3e+00 1.02e+00 1.265210624e+02 1.778429325e+02 1.1e-05 3.68
19 6.3e-03 2.3e-01 3.7e-01 1.01e+00 1.562237932e+02 1.702914827e+02 2.9e-06 3.78
20 3.1e-03 3.2e-01 1.8e-01 1.00e+00 1.610306647e+02 1.681113144e+02 1.5e-06 3.84
21 1.6e-03 1.7e-01 9.8e-02 1.01e+00 1.636118952e+02 1.673821461e+02 8.0e-07 7.25
22 4.9e-04 1.4e-01 3.0e-02 1.01e+00 1.656238345e+02 1.667726731e+02 2.5e-07 7.29
23 3.1e-04 1.1e-01 1.9e-02 9.98e-01 1.659255833e+02 1.666522222e+02 1.6e-07 7.32
24 1.9e-04 7.7e-02 1.2e-02 9.85e-01 1.661265589e+02 1.665738214e+02 9.7e-08 7.35
25 1.7e-04 6.6e-02 1.0e-02 9.99e-01 1.661694711e+02 1.665613224e+02 8.5e-08 7.38
26 1.5e-04 6.0e-02 9.3e-03 1.01e+00 1.661981110e+02 1.665505252e+02 7.7e-08 7.41
27 1.3e-04 5.5e-02 8.4e-03 1.01e+00 1.662229447e+02 1.665399890e+02 6.9e-08 7.45
28 1.2e-04 5.0e-02 7.5e-03 1.01e+00 1.662454345e+02 1.665307066e+02 6.2e-08 7.48
29 1.1e-04 4.6e-02 6.8e-03 1.01e+00 1.662655831e+02 1.665222723e+02 5.6e-08 7.51
30 9.8e-05 4.2e-02 6.1e-03 1.01e+00 1.662836681e+02 1.665146432e+02 5.1e-08 7.54
31 8.8e-05 3.9e-02 5.5e-03 1.01e+00 1.662998965e+02 1.665077375e+02 4.5e-08 7.57
32 7.9e-05 3.5e-02 4.9e-03 1.01e+00 1.663144607e+02 1.665014880e+02 4.1e-08 7.60
33 7.1e-05 3.3e-02 4.4e-03 1.00e+00 1.663275319e+02 1.664958326e+02 3.7e-08 7.63
34 6.4e-05 3.0e-02 4.0e-03 1.00e+00 1.663392640e+02 1.664907156e+02 3.3e-08 7.66
35 5.8e-05 2.8e-02 3.6e-03 1.00e+00 1.663497952e+02 1.664860863e+02 3.0e-08 7.69
36 5.2e-05 2.6e-02 3.2e-03 1.00e+00 1.663592494e+02 1.664818992e+02 2.7e-08 7.72
37 4.7e-05 2.4e-02 2.9e-03 1.00e+00 1.663677375e+02 1.664781127e+02 2.4e-08 7.75
38 4.2e-05 2.2e-02 2.6e-03 1.00e+00 1.663753593e+02 1.664746893e+02 2.2e-08 7.78
39 3.8e-05 2.1e-02 2.4e-03 1.00e+00 1.663822037e+02 1.664715947e+02 2.0e-08 7.81
40 3.4e-05 2.0e-02 2.1e-03 1.00e+00 1.663883507e+02 1.664687978e+02 1.8e-08 7.84
41 3.1e-05 1.8e-02 1.9e-03 1.00e+00 1.663938719e+02 1.664662706e+02 1.6e-08 7.87
42 2.8e-05 1.7e-02 1.7e-03 1.00e+00 1.663988313e+02 1.664639872e+02 1.4e-08 7.90
43 2.5e-05 1.6e-02 1.6e-03 1.00e+00 1.664032864e+02 1.664619245e+02 1.3e-08 7.93
44 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664072888e+02 1.664600614e+02 1.2e-08 7.96
45 2.0e-05 1.5e-02 1.3e-03 1.00e+00 1.664108848e+02 1.664583787e+02 1.0e-08 7.99
46 1.8e-05 1.4e-02 1.1e-03 1.00e+00 1.664141157e+02 1.664568592e+02 9.4e-09 8.02
47 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664170189e+02 1.664554873e+02 8.5e-09 8.05
48 1.5e-05 1.3e-02 9.2e-04 1.00e+00 1.664196278e+02 1.664542488e+02 7.6e-09 8.08
49 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664219723e+02 1.664531308e+02 6.8e-09 8.11
50 1.2e-05 1.2e-02 7.4e-04 1.00e+00 1.664240794e+02 1.664521218e+02 6.2e-09 8.14
51 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.664259733e+02 1.664512112e+02 5.5e-09 8.17
52 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664276756e+02 1.664503896e+02 5.0e-09 8.22
53 8.7e-06 1.1e-02 5.4e-04 1.00e+00 1.664292058e+02 1.664496484e+02 4.5e-09 8.26
54 7.8e-06 1.0e-02 4.9e-04 1.00e+00 1.664305815e+02 1.664489798e+02 4.0e-09 8.28
55 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318182e+02 1.664483767e+02 3.6e-09 8.31
56 6.3e-06 9.9e-03 3.9e-04 1.00e+00 1.664329302e+02 1.664478329e+02 3.3e-09 8.34
57 5.7e-06 9.7e-03 3.6e-04 1.00e+00 1.664339300e+02 1.664473425e+02 2.9e-09 8.37
58 5.1e-06 9.6e-03 3.2e-04 1.00e+00 1.664348290e+02 1.664469004e+02 2.7e-09 8.41
59 4.6e-06 9.4e-03 2.9e-04 1.00e+00 1.664356374e+02 1.664465017e+02 2.4e-09 8.45
60 4.1e-06 9.2e-03 2.6e-04 1.00e+00 1.664363643e+02 1.664461422e+02 2.2e-09 8.48
61 3.7e-06 9.1e-03 2.3e-04 1.00e+00 1.664370179e+02 1.664458181e+02 1.9e-09 8.52
62 3.4e-06 9.0e-03 2.1e-04 1.00e+00 1.664376057e+02 1.664455259e+02 1.7e-09 8.55
63 3.0e-06 8.9e-03 1.9e-04 1.00e+00 1.664381343e+02 1.664452625e+02 1.6e-09 8.59
64 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386096e+02 1.664450252e+02 1.4e-09 8.63
65 2.4e-06 8.7e-03 1.5e-04 1.00e+00 1.664390371e+02 1.664448112e+02 1.3e-09 8.66
66 2.2e-06 8.6e-03 1.4e-04 1.00e+00 1.664394217e+02 1.664446185e+02 1.1e-09 8.69
67 2.0e-06 8.5e-03 1.2e-04 1.00e+00 1.664397677e+02 1.664444448e+02 1.0e-09 8.73
68 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400789e+02 1.664442884e+02 9.3e-10 8.77
69 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403589e+02 1.664441475e+02 8.3e-10 8.80
70 1.4e-06 8.3e-03 9.0e-05 1.00e+00 1.664406108e+02 1.664440205e+02 7.5e-10 8.84
71 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408374e+02 1.664439062e+02 6.8e-10 8.87
72 1.2e-06 8.2e-03 7.3e-05 1.00e+00 1.664410413e+02 1.664438033e+02 6.1e-10 8.90
73 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412247e+02 1.664437105e+02 5.5e-10 8.93
74 9.5e-07 8.1e-03 5.9e-05 1.00e+00 1.664413898e+02 1.664436270e+02 4.9e-10 8.96
75 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415383e+02 1.664435517e+02 4.4e-10 9.00
76 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416718e+02 1.664434839e+02 4.0e-10 9.04
77 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417920e+02 1.664434229e+02 3.6e-10 9.07
78 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419001e+02 1.664433679e+02 3.2e-10 9.10
79 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664419973e+02 1.664433184e+02 2.9e-10 9.14
80 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420848e+02 1.664432738e+02 2.6e-10 9.17
81 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421635e+02 1.664432335e+02 2.4e-10 9.20
82 4.1e-07 7.8e-03 2.6e-05 1.00e+00 1.664422343e+02 1.664431973e+02 2.1e-10 9.23
83 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422980e+02 1.664431647e+02 1.9e-10 9.26
84 3.3e-07 7.7e-03 2.1e-05 9.99e-01 1.664423553e+02 1.664431354e+02 1.7e-10 9.29
85 3.0e-07 7.7e-03 1.9e-05 9.99e-01 1.664424068e+02 1.664431089e+02 1.5e-10 9.32
86 2.7e-07 7.7e-03 1.7e-05 9.99e-01 1.664424532e+02 1.664430852e+02 1.4e-10 9.35
87 2.4e-07 7.7e-03 1.5e-05 9.99e-01 1.664424950e+02 1.664430638e+02 1.3e-10 9.39
88 2.2e-07 7.7e-03 1.4e-05 9.99e-01 1.664425326e+02 1.664430445e+02 1.1e-10 9.43
89 1.9e-07 7.6e-03 1.2e-05 9.99e-01 1.664425664e+02 1.664430271e+02 1.0e-10 9.46
90 1.8e-07 7.6e-03 1.1e-05 9.99e-01 1.664425968e+02 1.664430115e+02 9.1e-11 9.49
91 1.6e-07 7.6e-03 9.9e-06 9.99e-01 1.664426242e+02 1.664429975e+02 8.2e-11 9.52
92 1.4e-07 7.6e-03 8.9e-06 1.00e+00 1.664426489e+02 1.664429848e+02 7.4e-11 9.55
93 1.3e-07 6.8e-03 8.0e-06 1.01e+00 1.664426712e+02 1.664429732e+02 6.7e-11 9.58
94 1.2e-07 6.2e-03 7.2e-06 1.00e+00 1.664426912e+02 1.664429630e+02 6.0e-11 9.60
95 1.0e-07 5.5e-03 6.5e-06 1.00e+00 1.664427092e+02 1.664429538e+02 5.4e-11 9.63
96 9.3e-08 5.0e-03 5.8e-06 1.00e+00 1.664427254e+02 1.664429454e+02 4.9e-11 9.66
97 8.4e-08 4.5e-03 5.3e-06 1.00e+00 1.664427399e+02 1.664429380e+02 4.4e-11 9.69
98 7.6e-08 4.0e-03 4.7e-06 1.01e+00 1.664427532e+02 1.664429311e+02 3.9e-11 9.72
99 6.8e-08 3.6e-03 4.3e-06 9.99e-01 1.664427650e+02 1.664429251e+02 3.5e-11 9.75
100 6.1e-08 3.3e-03 3.8e-06 1.01e+00 1.664427760e+02 1.664429193e+02 3.2e-11 9.79
101 5.5e-08 2.9e-03 3.4e-06 1.00e+00 1.664427855e+02 1.664429145e+02 2.9e-11 9.82
102 5.0e-08 2.6e-03 3.1e-06 1.00e+00 1.664427941e+02 1.664429101e+02 2.6e-11 9.85
103 4.5e-08 2.4e-03 2.8e-06 1.01e+00 1.664428021e+02 1.664429059e+02 2.3e-11 9.88
104 4.0e-08 2.1e-03 2.5e-06 1.01e+00 1.664428093e+02 1.664429022e+02 2.1e-11 9.91
105 3.6e-08 1.9e-03 2.3e-06 1.01e+00 1.664428157e+02 1.664428989e+02 1.9e-11 9.95
106 3.3e-08 1.7e-03 2.0e-06 1.00e+00 1.664428213e+02 1.664428961e+02 1.7e-11 9.98
107 2.9e-08 1.6e-03 1.8e-06 9.68e-01 1.664428262e+02 1.664428936e+02 1.6e-11 10.01
108 2.6e-08 1.4e-03 1.6e-06 9.99e-01 1.664428307e+02 1.664428913e+02 1.4e-11 10.04
109 2.4e-08 1.3e-03 1.5e-06 1.06e+00 1.664428357e+02 1.664428886e+02 1.3e-11 10.07
110 2.1e-08 1.1e-03 1.3e-06 1.01e+00 1.664428394e+02 1.664428868e+02 1.2e-11 10.11
111 1.9e-08 1.0e-03 1.2e-06 9.36e-01 1.664428425e+02 1.664428852e+02 1.1e-11 10.14
112 1.7e-08 9.2e-04 1.1e-06 1.01e+00 1.664428455e+02 1.664428837e+02 9.5e-12 10.17
113 1.6e-08 8.3e-04 9.7e-07 1.13e+00 1.664428495e+02 1.664428813e+02 9.1e-12 10.20
114 1.4e-08 7.5e-04 8.8e-07 1.13e+00 1.664428529e+02 1.664428795e+02 8.7e-12 10.24
115 1.3e-08 6.7e-04 7.9e-07 9.47e-01 1.664428547e+02 1.664428786e+02 7.9e-12 10.27
116 1.2e-08 6.1e-04 7.1e-07 1.34e+00 1.664428562e+02 1.664428781e+02 7.1e-12 10.30
117 1.2e-08 5.5e-04 6.4e-07 1.03e+00 1.664428578e+02 1.664428774e+02 6.5e-12 10.34
118 1.1e-08 4.9e-04 5.8e-07 1.22e+00 1.664428604e+02 1.664428758e+02 6.5e-12 10.37
119 1.0e-08 4.4e-04 5.2e-07 8.71e-01 1.664428615e+02 1.664428752e+02 5.8e-12 10.40
120 9.5e-09 4.0e-04 4.7e-07 8.40e-01 1.664428624e+02 1.664428749e+02 5.2e-12 10.43
121 8.4e-09 3.6e-04 4.2e-07 7.36e-01 1.664428632e+02 1.664428745e+02 4.7e-12 10.46
122 7.9e-09 3.2e-04 3.8e-07 7.15e-01 1.664428639e+02 1.664428743e+02 4.2e-12 10.50
123 9.0e-09 2.9e-04 3.4e-07 8.16e-01 1.664428646e+02 1.664428740e+02 3.8e-12 10.53
124 1.6e-08 2.7e-04 3.1e-07 6.89e+00 1.664428646e+02 1.664428753e+02 3.4e-12 10.56
125 1.4e-08 2.4e-04 2.8e-07 6.35e-01 1.664428652e+02 1.664428751e+02 3.1e-12 10.59
126 1.2e-08 2.2e-04 2.5e-07 2.05e+00 1.664428658e+02 1.664428748e+02 2.8e-12 10.63
127 1.1e-08 1.9e-04 2.3e-07 6.87e-01 1.664428663e+02 1.664428746e+02 2.5e-12 10.66
128 1.1e-08 1.7e-04 2.0e-07 1.02e+00 1.664428668e+02 1.664428742e+02 2.3e-12 10.69
129 1.0e-08 1.6e-04 1.8e-07 1.21e+00 1.664428675e+02 1.664428734e+02 2.3e-12 10.72
130 9.5e-09 1.4e-04 1.7e-07 1.05e+00 1.664428680e+02 1.664428731e+02 2.1e-12 10.75
131 8.1e-09 1.3e-04 1.5e-07 7.48e-01 1.664428682e+02 1.664428728e+02 1.9e-12 10.79
132 7.2e-09 1.1e-04 1.3e-07 1.65e+00 1.664428685e+02 1.664428726e+02 1.7e-12 10.82
133 8.8e-09 1.0e-04 1.2e-07 5.65e-01 1.664428687e+02 1.664428726e+02 1.5e-12 10.85
134 6.8e-09 9.3e-05 1.1e-07 8.63e-01 1.664428689e+02 1.664428725e+02 1.4e-12 10.89
135 9.2e-09 8.4e-05 9.8e-08 4.31e+00 1.664428691e+02 1.664428728e+02 1.2e-12 10.92
136 8.5e-09 7.5e-05 8.8e-08 1.43e+00 1.664428693e+02 1.664428725e+02 1.1e-12 10.96
137 1.1e-08 6.8e-05 7.9e-08 7.68e-01 1.664428695e+02 1.664428725e+02 1.0e-12 10.99
138 9.8e-09 6.1e-05 7.1e-08 6.11e-01 1.664428696e+02 1.664428723e+02 9.0e-13 11.02
Interior-point optimizer terminated. Time: 11.03.
Optimizer terminated. Time: 11.05
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286961e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6644287231e+02 Viol. con: 0e+00 var: 4e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 11.1 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : 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 : 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 -1.285340978e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263517283e+05 3.573621580e+00 4.8e-01 0.13
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201360157e+05 1.023272215e+01 1.8e-01 0.17
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154380573e+05 6.426628340e+01 1.2e-01 0.20
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.128348623e+05 2.258317823e+03 1.2e-01 0.23
5 7.5e+01 9.6e+01 4.1e+03 -7.52e-01 -7.471854264e+04 9.598301072e+03 3.3e-02 0.27
6 3.0e+01 3.9e+01 1.7e+03 -1.95e-01 -4.050824498e+04 1.020867916e+04 1.3e-02 0.30
7 1.8e+01 2.3e+01 1.0e+03 3.94e-01 -2.711090018e+04 6.648827759e+03 7.9e-03 0.33
8 9.5e+00 1.2e+01 5.3e+02 6.30e-01 -1.542142693e+04 3.834876281e+03 4.2e-03 0.36
9 3.6e+00 4.7e+00 2.0e+02 8.16e-01 -5.933669427e+03 1.798166228e+03 1.6e-03 0.40
10 2.0e+00 2.6e+00 1.1e+02 9.47e-01 -3.130684843e+03 1.194462462e+03 8.9e-04 0.44
11 8.4e-01 1.1e+00 4.7e+01 9.81e-01 -1.229432037e+03 6.158745362e+02 3.8e-04 0.47
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.213195729e+03 5.912519097e+02 3.7e-04 0.50
13 5.1e-01 6.6e-01 2.9e+01 9.72e-01 -7.067478892e+02 4.266793301e+02 2.3e-04 0.53
14 3.1e-01 4.2e-01 1.8e+01 1.00e+00 -3.527297399e+02 3.410960314e+02 1.4e-04 0.56
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.762936901e+01 2.143692292e+02 5.0e-05 0.60
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.135886370e+01 2.045407448e+02 3.8e-05 0.63
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.501772836e+01 1.868877187e+02 1.9e-05 0.66
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425031475e+02 1.741740475e+02 6.6e-06 0.69
19 6.2e-03 7.2e-02 3.6e-01 1.01e+00 1.557138726e+02 1.695761542e+02 2.9e-06 0.81
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638760058e+02 1.673862572e+02 7.4e-07 0.84
21 8.0e-04 1.1e-01 4.9e-02 9.78e-01 1.650624254e+02 1.669372172e+02 4.0e-07 0.87
22 2.4e-04 1.1e-01 1.6e-02 9.90e-01 1.660032081e+02 1.665978085e+02 1.3e-07 0.90
23 1.1e-04 8.9e-02 7.5e-03 1.01e+00 1.662213185e+02 1.665057431e+02 6.3e-08 0.93
24 4.7e-05 8.5e-02 3.1e-03 1.01e+00 1.663394222e+02 1.664571341e+02 2.6e-08 0.96
25 2.2e-05 7.7e-02 1.5e-03 1.01e+00 1.663835791e+02 1.664385508e+02 1.2e-08 1.00
26 2.0e-05 7.1e-02 1.3e-03 1.00e+00 1.663881975e+02 1.664377011e+02 1.1e-08 1.03
27 1.8e-05 6.4e-02 1.2e-03 1.01e+00 1.663915600e+02 1.664361003e+02 1.0e-08 1.06
28 1.6e-05 5.9e-02 1.1e-03 1.00e+00 1.663946474e+02 1.664347268e+02 9.0e-09 1.10
29 1.4e-05 5.4e-02 9.6e-04 1.00e+00 1.663974104e+02 1.664334757e+02 8.1e-09 1.14
30 1.3e-05 4.9e-02 8.6e-04 1.00e+00 1.663998950e+02 1.664323488e+02 7.3e-09 1.18
31 1.2e-05 4.5e-02 7.7e-04 1.00e+00 1.664021274e+02 1.664313318e+02 6.5e-09 1.21
32 1.0e-05 4.1e-02 7.0e-04 1.00e+00 1.664041339e+02 1.664304145e+02 5.9e-09 1.24
33 9.4e-06 3.8e-02 6.3e-04 1.00e+00 1.664059372e+02 1.664295871e+02 5.3e-09 1.27
34 8.5e-06 3.5e-02 5.6e-04 1.00e+00 1.664075582e+02 1.664288409e+02 4.8e-09 1.30
35 7.7e-06 3.2e-02 5.1e-04 1.00e+00 1.664090154e+02 1.664281680e+02 4.3e-09 1.33
36 6.9e-06 3.0e-02 4.6e-04 1.00e+00 1.664103254e+02 1.664275614e+02 3.9e-09 1.36
37 6.2e-06 2.8e-02 4.1e-04 1.00e+00 1.664115032e+02 1.664270144e+02 3.5e-09 1.39
38 5.6e-06 2.6e-02 3.7e-04 1.00e+00 1.664125622e+02 1.664265213e+02 3.1e-09 1.43
39 5.0e-06 2.4e-02 3.3e-04 1.00e+00 1.664135144e+02 1.664260769e+02 2.8e-09 1.46
40 4.5e-06 2.2e-02 3.0e-04 1.00e+00 1.664143707e+02 1.664256764e+02 2.5e-09 1.49
41 4.1e-06 2.1e-02 2.7e-04 1.00e+00 1.664151407e+02 1.664253153e+02 2.3e-09 1.52
42 3.7e-06 2.0e-02 2.4e-04 1.00e+00 1.664158331e+02 1.664249899e+02 2.1e-09 1.55
43 3.3e-06 1.8e-02 2.2e-04 1.00e+00 1.664164558e+02 1.664246966e+02 1.8e-09 1.58
44 3.0e-06 1.7e-02 2.0e-04 1.00e+00 1.664170157e+02 1.664244322e+02 1.7e-09 1.62
45 2.7e-06 1.6e-02 1.8e-04 1.00e+00 1.664175194e+02 1.664241940e+02 1.5e-09 1.65
46 2.4e-06 1.5e-02 1.6e-04 1.00e+00 1.664179723e+02 1.664239794e+02 1.3e-09 1.68
47 2.2e-06 1.5e-02 1.4e-04 1.00e+00 1.664183798e+02 1.664237860e+02 1.2e-09 1.71
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664187464e+02 1.664236119e+02 1.1e-09 1.74
49 1.8e-06 1.3e-02 1.2e-04 1.00e+00 1.664190762e+02 1.664234550e+02 9.8e-10 1.77
50 1.6e-06 1.3e-02 1.0e-04 1.00e+00 1.664193728e+02 1.664233138e+02 8.8e-10 1.81
51 1.4e-06 1.2e-02 9.4e-05 1.00e+00 1.664196398e+02 1.664231867e+02 8.0e-10 1.84
52 1.3e-06 1.2e-02 8.5e-05 1.00e+00 1.664198799e+02 1.664230721e+02 7.2e-10 1.87
53 1.1e-06 1.1e-02 7.6e-05 1.00e+00 1.664200960e+02 1.664229689e+02 6.4e-10 1.91
54 1.0e-06 1.1e-02 6.9e-05 1.00e+00 1.664202904e+02 1.664228760e+02 5.8e-10 1.94
55 9.3e-07 1.1e-02 6.2e-05 1.00e+00 1.664204653e+02 1.664227923e+02 5.2e-10 1.98
56 8.4e-07 1.0e-02 5.6e-05 1.00e+00 1.664206226e+02 1.664227169e+02 4.7e-10 2.02
57 7.5e-07 1.0e-02 5.0e-05 1.00e+00 1.664207642e+02 1.664226491e+02 4.2e-10 2.07
58 6.8e-07 9.9e-03 4.5e-05 1.00e+00 1.664208915e+02 1.664225880e+02 3.8e-10 2.11
59 6.1e-07 9.7e-03 4.1e-05 1.00e+00 1.664210061e+02 1.664225328e+02 3.4e-10 2.14
60 5.5e-07 9.5e-03 3.6e-05 1.00e+00 1.664211092e+02 1.664224832e+02 3.1e-10 2.17
61 4.9e-07 9.3e-03 3.3e-05 1.00e+00 1.664212019e+02 1.664224384e+02 2.8e-10 2.21
62 4.4e-07 9.1e-03 3.0e-05 1.00e+00 1.664212853e+02 1.664223982e+02 2.5e-10 2.24
63 4.0e-07 9.0e-03 2.7e-05 9.98e-01 1.664213603e+02 1.664223620e+02 2.2e-10 2.27
64 3.6e-07 8.8e-03 2.4e-05 9.96e-01 1.664214278e+02 1.664223295e+02 2.0e-10 2.31
65 3.2e-07 8.7e-03 2.2e-05 1.00e+00 1.664214885e+02 1.664223000e+02 1.8e-10 2.34
66 2.9e-07 8.6e-03 1.9e-05 9.96e-01 1.664215431e+02 1.664222736e+02 1.6e-10 2.37
67 2.6e-07 8.5e-03 1.7e-05 1.00e+00 1.664215923e+02 1.664222496e+02 1.5e-10 2.40
68 2.4e-07 8.4e-03 1.6e-05 1.00e+00 1.664216365e+02 1.664222281e+02 1.3e-10 2.44
69 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664216763e+02 1.664222087e+02 1.2e-10 2.47
70 1.9e-07 8.3e-03 1.3e-05 1.00e+00 1.664217121e+02 1.664221913e+02 1.1e-10 2.50
71 1.7e-07 8.2e-03 1.1e-05 9.98e-01 1.664217443e+02 1.664221756e+02 9.7e-11 2.53
72 1.6e-07 8.1e-03 1.0e-05 1.00e+00 1.664217733e+02 1.664221615e+02 8.7e-11 2.57
73 1.4e-07 8.1e-03 9.3e-06 1.00e+00 1.664217994e+02 1.664221488e+02 7.8e-11 2.60
74 1.3e-07 8.0e-03 8.3e-06 1.00e+00 1.664218229e+02 1.664221373e+02 7.1e-11 2.63
75 1.1e-07 8.0e-03 7.5e-06 1.00e+00 1.664218440e+02 1.664221270e+02 6.3e-11 2.66
76 1.0e-07 7.9e-03 6.8e-06 1.00e+00 1.664218630e+02 1.664221177e+02 5.7e-11 2.70
77 9.2e-08 7.9e-03 6.1e-06 9.98e-01 1.664218802e+02 1.664221093e+02 5.1e-11 2.73
78 8.2e-08 7.8e-03 5.5e-06 9.97e-01 1.664218955e+02 1.664221018e+02 4.6e-11 2.76
79 7.4e-08 7.1e-03 4.9e-06 1.01e+00 1.664219097e+02 1.664220949e+02 4.2e-11 2.80
80 6.7e-08 6.4e-03 4.4e-06 1.02e+00 1.664219230e+02 1.664220883e+02 3.8e-11 2.83
81 6.0e-08 5.7e-03 4.0e-06 1.01e+00 1.664219343e+02 1.664220828e+02 3.4e-11 2.86
82 5.4e-08 5.1e-03 3.6e-06 1.01e+00 1.664219446e+02 1.664220777e+02 3.1e-11 2.90
83 4.9e-08 4.6e-03 3.2e-06 9.96e-01 1.664219536e+02 1.664220734e+02 2.8e-11 2.93
84 4.4e-08 4.2e-03 2.9e-06 9.93e-01 1.664219616e+02 1.664220695e+02 2.5e-11 2.96
85 3.9e-08 3.8e-03 2.6e-06 1.02e+00 1.664219694e+02 1.664220656e+02 2.3e-11 3.00
86 3.5e-08 3.4e-03 2.4e-06 1.03e+00 1.664219766e+02 1.664220620e+02 2.1e-11 3.03
87 3.2e-08 3.0e-03 2.1e-06 1.01e+00 1.664219825e+02 1.664220591e+02 1.9e-11 3.06
88 2.9e-08 2.7e-03 1.9e-06 1.01e+00 1.664219879e+02 1.664220565e+02 1.7e-11 3.10
89 2.6e-08 2.5e-03 1.7e-06 9.72e-01 1.664219925e+02 1.664220543e+02 1.5e-11 3.13
90 2.3e-08 2.2e-03 1.5e-06 9.64e-01 1.664219966e+02 1.664220524e+02 1.4e-11 3.16
91 2.1e-08 2.0e-03 1.4e-06 9.89e-01 1.664220004e+02 1.664220506e+02 1.2e-11 3.20
92 1.9e-08 1.8e-03 1.3e-06 1.00e+00 1.664220037e+02 1.664220489e+02 1.1e-11 3.23
93 1.7e-08 1.6e-03 1.1e-06 1.02e+00 1.664220070e+02 1.664220473e+02 1.0e-11 3.26
94 1.5e-08 1.5e-03 1.0e-06 9.88e-01 1.664220097e+02 1.664220460e+02 9.0e-12 3.30
95 1.4e-08 1.3e-03 9.1e-07 9.55e-01 1.664220121e+02 1.664220449e+02 8.1e-12 3.33
96 1.2e-08 1.2e-03 8.2e-07 1.06e+00 1.664220149e+02 1.664220435e+02 7.5e-12 3.36
97 1.1e-08 1.1e-03 7.4e-07 1.01e+00 1.664220169e+02 1.664220425e+02 6.8e-12 3.40
98 1.0e-08 9.5e-04 6.7e-07 1.07e+00 1.664220191e+02 1.664220413e+02 6.3e-12 3.43
99 9.2e-09 8.6e-04 6.0e-07 1.13e+00 1.664220215e+02 1.664220400e+02 6.0e-12 3.47
100 8.3e-09 7.7e-04 5.4e-07 9.68e-01 1.664220228e+02 1.664220395e+02 5.4e-12 3.50
101 7.4e-09 7.0e-04 4.9e-07 9.28e-01 1.664220239e+02 1.664220390e+02 4.9e-12 3.54
102 6.7e-09 6.3e-04 4.4e-07 9.12e-01 1.664220249e+02 1.664220385e+02 4.4e-12 3.57
103 6.1e-09 5.6e-04 3.9e-07 9.65e-01 1.664220258e+02 1.664220381e+02 4.0e-12 3.61
104 5.5e-09 5.1e-04 3.5e-07 8.68e-01 1.664220266e+02 1.664220378e+02 3.6e-12 3.64
105 5.0e-09 4.6e-04 3.2e-07 9.21e-01 1.664220274e+02 1.664220374e+02 3.2e-12 3.68
106 4.5e-09 2.7e-05 1.9e-08 8.82e-01 1.664220339e+02 1.664220345e+02 3.5e-13 3.71
Interior-point optimizer terminated. Time: 3.72.
Optimizer terminated. Time: 3.75
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203391e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6642203455e+02 Viol. con: 0e+00 var: 2e-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: 0.02
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 -1.285332503e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263506596e+05 3.573405956e+00 4.8e-01 0.13
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201229622e+05 1.024109103e+01 1.8e-01 0.17
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154146786e+05 6.438968276e+01 1.2e-01 0.20
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.128141983e+05 2.256493338e+03 1.2e-01 0.23
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.452171546e+04 9.623266999e+03 3.3e-02 0.26
6 3.0e+01 3.8e+01 1.7e+03 -1.92e-01 -4.039646881e+04 1.017307269e+04 1.3e-02 0.30
7 1.8e+01 2.3e+01 1.0e+03 3.96e-01 -2.710378474e+04 6.644058117e+03 7.9e-03 0.33
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.529783047e+04 3.811648711e+03 4.1e-03 0.36
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.370854270e+03 1.685455259e+03 1.5e-03 0.39
10 1.6e+00 2.1e+00 9.1e+01 9.54e-01 -2.488108126e+03 1.068009059e+03 7.3e-04 0.43
11 9.3e-01 1.2e+00 5.2e+01 9.86e-01 -1.337556168e+03 6.866666869e+02 4.1e-04 0.46
12 8.5e-01 1.1e+00 4.8e+01 9.60e-01 -1.253942563e+03 6.354925228e+02 3.8e-04 0.49
13 4.7e-01 6.1e-01 2.7e+01 9.77e-01 -6.373783876e+02 4.197213727e+02 2.1e-04 0.53
14 2.5e-01 3.3e-01 1.4e+01 1.00e+00 -2.541700442e+02 3.021316067e+02 1.1e-04 0.56
15 9.3e-02 1.5e-01 5.3e+00 1.00e+00 -3.964860273e+00 2.060657117e+02 4.3e-05 0.59
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.475403828e+01 2.084811836e+02 4.0e-05 0.62
17 6.0e-02 9.6e-02 3.4e+00 1.02e+00 6.117824872e+01 1.950769343e+02 2.8e-05 0.66
18 3.3e-02 7.2e-02 1.9e+00 1.02e+00 1.091843174e+02 1.824029355e+02 1.5e-05 0.69
19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.513702101e+02 1.718414588e+02 4.3e-06 0.72
20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602185321e+02 1.683899005e+02 1.7e-06 0.76
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642699959e+02 1.671903151e+02 6.2e-07 0.79
22 8.6e-04 1.0e-01 5.2e-02 9.84e-01 1.649681697e+02 1.669443952e+02 4.3e-07 0.82
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659690908e+02 1.665864857e+02 1.3e-07 0.85
24 9.4e-05 1.0e-01 6.1e-03 1.01e+00 1.662459045e+02 1.664756901e+02 5.1e-08 0.88
25 3.7e-05 9.5e-02 2.4e-03 1.01e+00 1.663440808e+02 1.664350958e+02 2.0e-08 0.91
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663785048e+02 1.664206578e+02 9.5e-09 0.94
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663820228e+02 1.664199765e+02 8.5e-09 0.97
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663846095e+02 1.664187605e+02 7.7e-09 1.00
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663869814e+02 1.664177118e+02 6.9e-09 1.03
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663891059e+02 1.664167589e+02 6.2e-09 1.07
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663910165e+02 1.664159006e+02 5.6e-09 1.10
32 9.1e-06 4.7e-02 5.9e-04 1.00e+00 1.663927338e+02 1.664151265e+02 5.0e-09 1.14
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663942776e+02 1.664144286e+02 4.5e-09 1.18
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663956655e+02 1.664137995e+02 4.1e-09 1.21
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969134e+02 1.664132324e+02 3.7e-09 1.25
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663980355e+02 1.664127213e+02 3.3e-09 1.29
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663990445e+02 1.664122606e+02 3.0e-09 1.32
38 4.8e-06 2.9e-02 3.2e-04 1.00e+00 1.663999518e+02 1.664118456e+02 2.7e-09 1.36
39 4.3e-06 2.6e-02 2.8e-04 1.00e+00 1.664007678e+02 1.664114714e+02 2.4e-09 1.39
40 3.9e-06 2.5e-02 2.6e-04 1.00e+00 1.664015016e+02 1.664111343e+02 2.2e-09 1.43
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664021615e+02 1.664108305e+02 2.0e-09 1.46
42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027549e+02 1.664105567e+02 1.8e-09 1.50
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664032887e+02 1.664103100e+02 1.6e-09 1.53
44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037687e+02 1.664100878e+02 1.4e-09 1.56
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042006e+02 1.664098875e+02 1.3e-09 1.60
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045891e+02 1.664097071e+02 1.2e-09 1.64
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049386e+02 1.664095447e+02 1.0e-09 1.67
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052531e+02 1.664093985e+02 9.4e-10 1.71
49 1.5e-06 1.4e-02 9.9e-05 1.00e+00 1.664055360e+02 1.664092668e+02 8.4e-10 1.74
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664057905e+02 1.664091481e+02 7.6e-10 1.77
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060195e+02 1.664090413e+02 6.8e-10 1.81
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062256e+02 1.664089451e+02 6.1e-10 1.84
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064110e+02 1.664088585e+02 5.5e-10 1.87
54 8.9e-07 1.2e-02 5.9e-05 1.00e+00 1.664065778e+02 1.664087805e+02 5.0e-10 1.91
55 8.0e-07 1.1e-02 5.3e-05 1.00e+00 1.664067278e+02 1.664087103e+02 4.5e-10 1.95
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068628e+02 1.664086471e+02 4.0e-10 1.98
57 6.5e-07 1.0e-02 4.3e-05 1.00e+00 1.664069843e+02 1.664085901e+02 3.6e-10 2.02
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664070935e+02 1.664085387e+02 3.3e-10 2.05
59 5.3e-07 9.9e-03 3.5e-05 1.00e+00 1.664071918e+02 1.664084925e+02 2.9e-10 2.09
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072802e+02 1.664084508e+02 2.6e-10 2.12
61 4.3e-07 9.5e-03 2.8e-05 9.99e-01 1.664073597e+02 1.664084133e+02 2.4e-10 2.16
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074313e+02 1.664083794e+02 2.1e-10 2.20
63 3.5e-07 9.1e-03 2.3e-05 1.00e+00 1.664074956e+02 1.664083490e+02 1.9e-10 2.23
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075535e+02 1.664083215e+02 1.7e-10 2.27
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076056e+02 1.664082968e+02 1.6e-10 2.31
66 2.5e-07 8.7e-03 1.7e-05 1.00e+00 1.664076524e+02 1.664082745e+02 1.4e-10 2.34
67 2.3e-07 8.6e-03 1.5e-05 1.00e+00 1.664076946e+02 1.664082545e+02 1.3e-10 2.38
68 2.0e-07 8.5e-03 1.3e-05 9.96e-01 1.664077325e+02 1.664082365e+02 1.1e-10 2.41
69 1.8e-07 8.4e-03 1.2e-05 1.00e+00 1.664077667e+02 1.664082202e+02 1.0e-10 2.44
70 1.7e-07 8.3e-03 1.1e-05 1.00e+00 1.664077974e+02 1.664082055e+02 9.2e-11 2.48
71 1.5e-07 8.3e-03 9.8e-06 1.01e+00 1.664078256e+02 1.664081920e+02 8.3e-11 2.51
72 1.3e-07 8.2e-03 8.8e-06 1.00e+00 1.664078504e+02 1.664081802e+02 7.5e-11 2.54
73 1.2e-07 8.1e-03 7.9e-06 9.99e-01 1.664078727e+02 1.664081695e+02 6.7e-11 2.58
74 1.1e-07 8.1e-03 7.1e-06 9.99e-01 1.664078928e+02 1.664081600e+02 6.1e-11 2.61
75 9.8e-08 8.0e-03 6.4e-06 9.94e-01 1.664079109e+02 1.664081514e+02 5.5e-11 2.64
76 8.8e-08 8.0e-03 5.8e-06 9.98e-01 1.664079272e+02 1.664081436e+02 4.9e-11 2.68
77 7.9e-08 7.9e-03 5.2e-06 1.00e+00 1.664079418e+02 1.664081366e+02 4.4e-11 2.71
78 7.1e-08 7.9e-03 4.7e-06 1.00e+00 1.664079551e+02 1.664081302e+02 4.0e-11 2.75
79 6.4e-08 7.9e-03 4.2e-06 1.00e+00 1.664079669e+02 1.664081246e+02 3.6e-11 2.79
80 5.8e-08 7.8e-03 3.8e-06 9.95e-01 1.664079776e+02 1.664081195e+02 3.2e-11 2.82
81 5.2e-08 7.8e-03 3.4e-06 9.98e-01 1.664079872e+02 1.664081149e+02 2.9e-11 2.86
82 4.7e-08 7.7e-03 3.1e-06 9.74e-01 1.664079958e+02 1.664081109e+02 2.6e-11 2.90
83 4.2e-08 7.7e-03 2.8e-06 9.89e-01 1.664080036e+02 1.664081072e+02 2.4e-11 2.93
84 3.8e-08 7.7e-03 2.5e-06 1.00e+00 1.664080106e+02 1.664081038e+02 2.1e-11 2.97
85 3.4e-08 7.6e-03 2.2e-06 9.96e-01 1.664080169e+02 1.664081008e+02 1.9e-11 3.01
86 3.1e-08 6.9e-03 2.0e-06 1.01e+00 1.664080227e+02 1.664080980e+02 1.7e-11 3.04
87 2.8e-08 6.8e-03 1.8e-06 9.61e-01 1.664080277e+02 1.664080957e+02 1.5e-11 3.08
88 2.5e-08 6.1e-03 1.6e-06 9.80e-01 1.664080323e+02 1.664080935e+02 1.4e-11 3.12
89 2.2e-08 5.5e-03 1.5e-06 9.93e-01 1.664080364e+02 1.664080915e+02 1.3e-11 3.15
90 2.0e-08 5.0e-03 1.3e-06 9.80e-01 1.664080401e+02 1.664080898e+02 1.1e-11 3.19
91 1.8e-08 4.5e-03 1.2e-06 1.01e+00 1.664080436e+02 1.664080881e+02 1.0e-11 3.22
92 1.6e-08 4.0e-03 1.1e-06 1.00e+00 1.664080466e+02 1.664080866e+02 9.2e-12 3.26
93 1.5e-08 3.6e-03 9.6e-07 1.03e+00 1.664080497e+02 1.664080851e+02 8.4e-12 3.30
94 1.3e-08 3.3e-03 8.7e-07 1.00e+00 1.664080521e+02 1.664080839e+02 7.6e-12 3.33
95 1.2e-08 2.9e-03 7.8e-07 9.90e-01 1.664080543e+02 1.664080829e+02 6.8e-12 3.37
96 1.1e-08 2.6e-03 7.0e-07 9.28e-01 1.664080562e+02 1.664080820e+02 6.1e-12 3.40
97 9.8e-09 2.4e-03 6.3e-07 1.03e+00 1.664080582e+02 1.664080810e+02 5.6e-12 3.44
98 8.8e-09 2.1e-03 5.7e-07 9.83e-01 1.664080597e+02 1.664080803e+02 5.0e-12 3.48
99 7.9e-09 1.9e-03 5.1e-07 9.47e-01 1.664080611e+02 1.664080796e+02 4.5e-12 3.51
100 7.1e-09 1.7e-03 4.6e-07 1.02e+00 1.664080624e+02 1.664080790e+02 4.1e-12 3.56
101 6.4e-09 1.6e-03 4.1e-07 8.45e-01 1.664080635e+02 1.664080785e+02 3.7e-12 3.59
102 5.9e-09 1.4e-03 3.7e-07 1.18e+00 1.664080653e+02 1.664080774e+02 3.6e-12 3.63
103 5.3e-09 1.3e-03 3.4e-07 9.80e-01 1.664080662e+02 1.664080771e+02 3.3e-12 3.66
104 4.8e-09 1.1e-03 3.0e-07 1.01e+00 1.664080669e+02 1.664080767e+02 3.0e-12 3.70
105 4.4e-09 1.0e-03 2.7e-07 8.33e-01 1.664080676e+02 1.664080764e+02 2.7e-12 3.73
106 6.3e-09 1.2e-04 3.3e-08 6.42e-01 1.664080734e+02 1.664080746e+02 6.3e-13 3.77
Interior-point optimizer terminated. Time: 3.77.
Optimizer terminated. Time: 3.80
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807336e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6640807462e+02 Viol. con: 0e+00 var: 9e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.82 seconds.
Solving took 9 GP solves and 349 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: 1.4957407367594268e+110 vs 1.49570203988e+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: 3.7053886277538174e+72 vs 3.70523909511e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682122]
Total Aircraft Weight Percent Diff: [-21.48055415]
Engine Weight Percent Diff: -56.2782480370628
Fuselage Weight Percent Diff: -0.8697164144062938
Payload Weight Percent Diff: [-0.04003553]
VT Weight Percent Diff: -8.607507613553691
HT Weight Percent Diff: -93.23325082994506
Wing Weight Percent Diff: 8.267506308948219
WING DIFFERENCES
Wing Span Percent Diff: -0.029996907914039313
Wing Area Percent Diff: 32.89989976003779
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.488975447505794
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022321726207009
VT Area Percent Diff: -60.386818979136606
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54724519]
L/D Percent Diff: [24.01021367]
Nacelle Cd Percent Diff: [-94.27640287]
HT Cd Percent Diff: [-80.76937236] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00295795] dimensionless
Wing Cd percent Diff: [-14.22920925]
Induced Drag Cd Percent Diff: [1.21942187]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.5703569]
FUSELAGE DIFFERENCES
Weight of HB material: -38.35991576052706
Weight of VB material: 87.82693668427625
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260511]
Mission1
========
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission1.Aircraft.Wing.WingBox.N_{lift} = 3
Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/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: 0.03
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 : 3438 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.09 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.06
Factor - nonzeros before factor : 1.64e+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 0.13
1 1.1e+03 1.4e+03 6.3e+04 -9.71e-01 -1.260360597e+05 3.611424052e+00 4.9e-01 7.35
2 4.1e+02 5.3e+02 2.3e+04 -9.38e-01 -1.195206719e+05 1.063331153e+01 1.8e-01 15.68
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.151942168e+05 6.795829655e+01 1.3e-01 20.26
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127212826e+05 2.109723808e+03 1.3e-01 25.95
5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.071413615e+04 8.411072422e+03 3.9e-02 34.17
6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.787028059e+04 1.016025756e+04 1.6e-02 41.87
7 2.1e+01 2.8e+01 1.2e+03 2.52e-01 -3.173778936e+04 7.155034269e+03 9.5e-03 49.51
8 9.4e+00 1.2e+01 5.3e+02 5.36e-01 -1.511150083e+04 4.167123567e+03 4.2e-03 57.58
9 5.5e+00 7.1e+00 3.1e+02 8.14e-01 -8.836155418e+03 2.832992813e+03 2.5e-03 65.76
10 1.3e+00 1.7e+00 7.6e+01 9.07e-01 -2.021517100e+03 9.278094940e+02 6.1e-04 74.32
11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.292899266e+02 7.204982019e+02 3.2e-04 82.50
12 4.7e-01 6.1e-01 2.7e+01 9.97e-01 -4.810408396e+02 5.632816117e+02 2.1e-04 90.89
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.119899248e+02 4.857188935e+02 1.6e-04 98.23
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.727746611e+01 3.656933383e+02 7.9e-05 103.98
15 5.5e-02 1.5e-01 3.2e+00 9.94e-01 1.624902967e+02 2.901499707e+02 2.7e-05 104.41
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.999027139e+02 2.746125040e+02 1.6e-05 113.02
17 5.1e-03 1.8e-01 3.2e-01 1.00e+00 2.445305033e+02 2.572371524e+02 2.8e-06 121.39
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509424510e+02 2.546897023e+02 8.3e-07 129.13
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527845502e+02 2.540210950e+02 2.8e-07 137.50
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532880856e+02 2.538352203e+02 1.2e-07 145.90
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533292209e+02 2.538216573e+02 1.1e-07 154.65
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533650962e+02 2.538082643e+02 1.0e-07 163.41
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533974267e+02 2.537962616e+02 9.0e-08 171.38
24 1.4e-04 5.9e-02 9.2e-03 1.00e+00 2.534264980e+02 2.537854354e+02 8.1e-08 180.28
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534526435e+02 2.537756756e+02 7.3e-08 187.78
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534761571e+02 2.537668763e+02 6.5e-08 195.32
27 1.0e-04 4.5e-02 6.7e-03 1.00e+00 2.534973060e+02 2.537589453e+02 5.9e-08 202.99
28 9.0e-05 4.1e-02 6.1e-03 1.00e+00 2.535163290e+02 2.537517977e+02 5.3e-08 211.04
29 8.1e-05 3.8e-02 5.4e-03 1.00e+00 2.535334405e+02 2.537453571e+02 4.8e-08 219.87
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535488334e+02 2.537395540e+02 4.3e-08 227.29
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535626808e+02 2.537343259e+02 3.9e-08 234.97
32 5.9e-05 3.0e-02 4.0e-03 1.00e+00 2.535751383e+02 2.537296160e+02 3.5e-08 242.29
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535863455e+02 2.537253733e+02 3.1e-08 250.35
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535964283e+02 2.537215515e+02 2.8e-08 258.50
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536054996e+02 2.537181092e+02 2.5e-08 267.41
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536136611e+02 2.537150086e+02 2.3e-08 275.31
37 3.5e-05 2.0e-02 2.3e-03 1.00e+00 2.536210041e+02 2.537122161e+02 2.1e-08 282.24
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276109e+02 2.537097011e+02 1.9e-08 290.59
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536335554e+02 2.537074360e+02 1.7e-08 298.33
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389040e+02 2.537053963e+02 1.5e-08 304.62
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536437166e+02 2.537035594e+02 1.3e-08 312.70
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536480470e+02 2.537019053e+02 1.2e-08 319.54
43 1.9e-05 1.4e-02 1.2e-03 1.00e+00 2.536519435e+02 2.537004159e+02 1.1e-08 322.05
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554497e+02 2.536990748e+02 9.8e-09 322.08
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586047e+02 2.536978673e+02 8.9e-09 322.12
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614438e+02 2.536967801e+02 8.0e-09 322.15
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536639986e+02 2.536958013e+02 7.2e-09 322.19
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536662977e+02 2.536949200e+02 6.5e-09 322.23
49 9.9e-06 1.1e-02 6.6e-04 1.00e+00 2.536683665e+02 2.536941267e+02 5.8e-09 322.26
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536702284e+02 2.536934126e+02 5.2e-09 322.30
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536719038e+02 2.536927697e+02 4.7e-09 322.35
52 7.2e-06 1.0e-02 4.8e-04 1.00e+00 2.536734116e+02 2.536921909e+02 4.2e-09 322.38
53 6.5e-06 9.9e-03 4.3e-04 1.00e+00 2.536747685e+02 2.536916699e+02 3.8e-09 322.41
54 5.8e-06 9.6e-03 3.9e-04 1.00e+00 2.536759897e+02 2.536912010e+02 3.4e-09 322.45
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770886e+02 2.536907788e+02 3.1e-09 322.48
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780776e+02 2.536903988e+02 2.8e-09 322.52
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789676e+02 2.536900567e+02 2.5e-09 322.55
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797686e+02 2.536897488e+02 2.3e-09 322.58
59 3.4e-06 8.7e-03 2.3e-04 1.00e+00 2.536804894e+02 2.536894716e+02 2.0e-09 322.62
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811381e+02 2.536892221e+02 1.8e-09 322.65
61 1.2e-06 3.3e-03 8.1e-05 1.00e+00 2.536846982e+02 2.536878512e+02 7.1e-10 322.69
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849265e+02 2.536877642e+02 6.4e-10 322.72
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862389e+02 2.536872586e+02 2.3e-10 322.75
64 3.5e-07 9.7e-04 2.4e-05 1.00e+00 2.536863126e+02 2.536872303e+02 2.1e-10 322.79
65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863788e+02 2.536872047e+02 1.9e-10 322.82
66 2.8e-07 7.9e-04 1.9e-05 1.00e+00 2.536864384e+02 2.536871817e+02 1.7e-10 322.86
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864921e+02 2.536871611e+02 1.5e-10 322.90
68 2.3e-07 6.4e-04 1.5e-05 1.00e+00 2.536865403e+02 2.536871424e+02 1.4e-10 322.93
69 2.1e-07 5.7e-04 1.4e-05 1.00e+00 2.536865838e+02 2.536871257e+02 1.2e-10 322.97
70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866229e+02 2.536871106e+02 1.1e-10 323.00
71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866581e+02 2.536870970e+02 9.9e-11 323.04
72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866899e+02 2.536870847e+02 8.9e-11 323.08
73 1.4e-07 3.8e-04 9.1e-06 9.98e-01 2.536867183e+02 2.536870737e+02 8.0e-11 323.11
74 1.2e-07 3.4e-04 8.2e-06 1.00e+00 2.536867440e+02 2.536870638e+02 7.2e-11 323.15
75 1.1e-07 3.1e-04 7.4e-06 1.00e+00 2.536867672e+02 2.536870549e+02 6.5e-11 323.18
76 9.9e-08 2.7e-04 6.7e-06 1.00e+00 2.536867879e+02 2.536870468e+02 5.8e-11 323.22
77 8.9e-08 2.5e-04 6.0e-06 1.00e+00 2.536868066e+02 2.536870396e+02 5.3e-11 323.25
78 8.0e-08 2.2e-04 5.4e-06 1.00e+00 2.536868234e+02 2.536870331e+02 4.7e-11 323.28
79 7.2e-08 2.0e-04 4.9e-06 9.99e-01 2.536868385e+02 2.536870273e+02 4.3e-11 323.31
80 6.5e-08 1.8e-04 4.4e-06 1.00e+00 2.536868524e+02 2.536870219e+02 3.8e-11 323.34
81 5.9e-08 1.6e-04 3.9e-06 9.98e-01 2.536868646e+02 2.536870172e+02 3.5e-11 323.37
82 5.3e-08 1.5e-04 3.5e-06 1.00e+00 2.536868756e+02 2.536870129e+02 3.1e-11 323.41
83 4.8e-08 1.3e-04 3.2e-06 1.00e+00 2.536868855e+02 2.536870091e+02 2.8e-11 323.44
84 4.3e-08 1.2e-04 2.9e-06 1.00e+00 2.536868945e+02 2.536870056e+02 2.5e-11 323.47
85 3.8e-08 1.1e-04 2.6e-06 1.00e+00 2.536869025e+02 2.536870025e+02 2.3e-11 323.51
86 3.5e-08 9.6e-05 2.3e-06 9.99e-01 2.536869097e+02 2.536869998e+02 2.0e-11 323.54
87 3.1e-08 8.6e-05 2.1e-06 1.01e+00 2.536869163e+02 2.536869972e+02 1.8e-11 323.57
88 2.8e-08 7.8e-05 1.9e-06 9.93e-01 2.536869222e+02 2.536869950e+02 1.7e-11 323.60
89 2.5e-08 7.0e-05 1.7e-06 9.97e-01 2.536869274e+02 2.536869929e+02 1.5e-11 323.64
90 2.3e-08 6.3e-05 1.5e-06 9.96e-01 2.536869321e+02 2.536869911e+02 1.3e-11 323.67
91 2.0e-08 5.7e-05 1.4e-06 1.00e+00 2.536869364e+02 2.536869894e+02 1.2e-11 323.70
92 1.8e-08 5.1e-05 1.2e-06 9.96e-01 2.536869403e+02 2.536869880e+02 1.1e-11 323.74
93 1.7e-08 4.6e-05 1.1e-06 1.00e+00 2.536869437e+02 2.536869866e+02 9.8e-12 323.77
94 1.5e-08 4.1e-05 1.0e-06 9.93e-01 2.536869468e+02 2.536869854e+02 8.8e-12 323.81
95 1.3e-08 3.7e-05 9.0e-07 1.01e+00 2.536869496e+02 2.536869843e+02 8.0e-12 323.84
96 1.2e-08 3.3e-05 8.1e-07 1.00e+00 2.536869521e+02 2.536869834e+02 7.2e-12 323.87
97 1.1e-08 3.0e-05 7.3e-07 1.01e+00 2.536869545e+02 2.536869824e+02 6.5e-12 323.91
98 9.8e-09 2.7e-05 6.6e-07 9.86e-01 2.536869565e+02 2.536869817e+02 5.8e-12 323.94
Interior-point optimizer terminated. Time: 323.95.
Optimizer terminated. Time: 323.97
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695651e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698167e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 324 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 0.09
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 0.17
3 2.9e+02 3.7e+02 1.6e+04 -8.50e-01 -1.154239527e+05 5.250197661e+01 1.3e-01 0.20
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.133019475e+05 1.862130071e+03 1.3e-01 0.23
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.812142135e+04 9.031239866e+03 3.6e-02 0.27
6 3.6e+01 4.6e+01 2.0e+03 -2.53e-01 -4.675648629e+04 1.010078033e+04 1.6e-02 0.30
7 1.9e+01 2.4e+01 1.0e+03 2.76e-01 -2.801894233e+04 6.402312706e+03 8.2e-03 0.33
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.471216462e+04 4.005088030e+03 4.0e-03 0.44
9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.206577980e+03 2.776623744e+03 2.5e-03 0.59
10 1.9e+00 2.4e+00 1.1e+02 9.02e-01 -2.967188532e+03 1.150548991e+03 8.4e-04 0.82
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.411824507e+03 1.013250366e+03 7.0e-04 1.72
12 1.0e+00 1.4e+00 5.6e+01 9.78e-01 -1.467425869e+03 7.220755780e+02 4.4e-04 5.76
13 4.6e-01 6.8e-01 2.6e+01 9.83e-01 -5.896884642e+02 4.319681869e+02 2.1e-04 11.76
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.320840912e+02 3.288887993e+02 1.1e-04 16.00
15 1.0e-01 1.6e-01 5.7e+00 1.00e+00 1.044650256e+01 2.360029612e+02 4.6e-05 20.63
16 4.7e-02 1.0e-01 2.7e+00 1.00e+00 9.574899199e+01 2.020284399e+02 2.2e-05 25.61
17 1.0e-02 1.4e-01 6.2e-01 1.01e+00 1.548431108e+02 1.790677324e+02 5.2e-06 30.65
18 6.3e-03 1.0e-01 3.9e-01 1.01e+00 1.614292048e+02 1.765011120e+02 3.2e-06 36.68
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.695627736e+02 1.734405850e+02 8.5e-07 41.77
20 3.4e-04 1.4e-01 2.2e-02 1.01e+00 1.717721241e+02 1.726293360e+02 1.9e-07 47.29
21 1.4e-04 1.0e-01 9.5e-03 9.94e-01 1.721372137e+02 1.725037900e+02 8.3e-08 52.79
22 8.9e-05 8.2e-02 6.0e-03 1.00e+00 1.722347055e+02 1.724653290e+02 5.2e-08 58.46
23 8.0e-05 7.6e-02 5.4e-03 1.00e+00 1.722527903e+02 1.724604212e+02 4.7e-08 63.81
24 7.2e-05 6.9e-02 4.8e-03 1.00e+00 1.722680411e+02 1.724549097e+02 4.2e-08 69.19
25 6.5e-05 6.3e-02 4.3e-03 1.00e+00 1.722818158e+02 1.724499966e+02 3.8e-08 73.70
26 5.9e-05 5.7e-02 3.9e-03 1.00e+00 1.722941842e+02 1.724455455e+02 3.4e-08 79.15
27 5.3e-05 5.2e-02 3.5e-03 1.00e+00 1.723053032e+02 1.724415268e+02 3.1e-08 84.37
28 4.7e-05 4.8e-02 3.2e-03 1.00e+00 1.723152953e+02 1.724378950e+02 2.8e-08 89.96
29 4.3e-05 4.4e-02 2.8e-03 1.00e+00 1.723242746e+02 1.724346129e+02 2.5e-08 95.58
30 3.8e-05 4.0e-02 2.6e-03 1.00e+00 1.723323436e+02 1.724316468e+02 2.2e-08 96.70
31 3.5e-05 3.7e-02 2.3e-03 1.00e+00 1.723395949e+02 1.724289667e+02 2.0e-08 96.73
32 3.1e-05 3.4e-02 2.1e-03 1.00e+00 1.723461118e+02 1.724265456e+02 1.8e-08 96.76
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723519694e+02 1.724243591e+02 1.6e-08 96.79
34 2.5e-05 2.9e-02 1.7e-03 1.00e+00 1.723572350e+02 1.724223851e+02 1.5e-08 96.82
35 2.3e-05 2.7e-02 1.5e-03 1.00e+00 1.723619689e+02 1.724206036e+02 1.3e-08 96.85
36 2.0e-05 2.5e-02 1.4e-03 1.00e+00 1.723662252e+02 1.724189961e+02 1.2e-08 96.88
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723700525e+02 1.724175460e+02 1.1e-08 96.92
38 1.7e-05 2.2e-02 1.1e-03 1.00e+00 1.723734942e+02 1.724162381e+02 9.7e-09 103.85
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723765893e+02 1.724150587e+02 8.7e-09 109.62
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723793730e+02 1.724139954e+02 7.8e-09 115.64
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723818766e+02 1.724130367e+02 7.1e-09 121.88
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723841285e+02 1.724121726e+02 6.4e-09 127.52
43 9.8e-06 1.6e-02 6.5e-04 1.00e+00 1.723861540e+02 1.724113937e+02 5.7e-09 132.73
44 8.8e-06 1.5e-02 5.9e-04 1.00e+00 1.723879761e+02 1.724106918e+02 5.1e-09 139.77
45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723896151e+02 1.724100593e+02 4.6e-09 146.17
46 7.1e-06 1.4e-02 4.8e-04 1.00e+00 1.723910895e+02 1.724094893e+02 4.2e-09 150.81
47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723924159e+02 1.724089758e+02 3.8e-09 158.34
48 5.8e-06 1.3e-02 3.9e-04 1.00e+00 1.723936092e+02 1.724085132e+02 3.4e-09 165.89
49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723946828e+02 1.724080964e+02 3.0e-09 171.98
50 4.7e-06 1.2e-02 3.1e-04 1.00e+00 1.723956487e+02 1.724077210e+02 2.7e-09 177.42
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965177e+02 1.724073828e+02 2.5e-09 183.35
52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723972996e+02 1.724070783e+02 2.2e-09 190.61
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980031e+02 1.724068039e+02 2.0e-09 196.22
54 3.1e-06 1.0e-02 2.0e-04 1.00e+00 1.723986361e+02 1.724065569e+02 1.8e-09 196.25
55 2.8e-06 1.0e-02 1.8e-04 1.00e+00 1.723992057e+02 1.724063344e+02 1.6e-09 196.28
56 2.5e-06 9.7e-03 1.7e-04 1.00e+00 1.723997182e+02 1.724061341e+02 1.5e-09 196.31
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001793e+02 1.724059536e+02 1.3e-09 196.34
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724005942e+02 1.724057912e+02 1.2e-09 196.37
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009676e+02 1.724056449e+02 1.1e-09 196.40
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013036e+02 1.724055132e+02 9.5e-10 196.43
61 1.5e-06 8.8e-03 9.8e-05 1.00e+00 1.724016059e+02 1.724053946e+02 8.6e-10 196.47
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018779e+02 1.724052877e+02 7.7e-10 196.50
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021228e+02 1.724051916e+02 7.0e-10 196.53
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023430e+02 1.724051050e+02 6.3e-10 196.56
65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025413e+02 1.724050270e+02 5.6e-10 196.59
66 8.7e-07 8.3e-03 5.8e-05 1.00e+00 1.724027197e+02 1.724049569e+02 5.1e-10 196.62
67 7.8e-07 8.2e-03 5.2e-05 1.00e+00 1.724028802e+02 1.724048937e+02 4.6e-10 196.67
68 7.0e-07 8.1e-03 4.7e-05 1.00e+00 1.724030246e+02 1.724048368e+02 4.1e-10 196.75
69 6.3e-07 8.0e-03 4.2e-05 1.00e+00 1.724031546e+02 1.724047855e+02 3.7e-10 198.42
70 5.7e-07 8.0e-03 3.8e-05 1.00e+00 1.724032716e+02 1.724047394e+02 3.3e-10 205.03
71 5.1e-07 7.9e-03 3.4e-05 1.00e+00 1.724033768e+02 1.724046979e+02 3.0e-10 212.07
72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034716e+02 1.724046605e+02 2.7e-10 219.00
73 4.1e-07 7.8e-03 2.8e-05 1.00e+00 1.724035568e+02 1.724046269e+02 2.4e-10 226.03
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036335e+02 1.724045966e+02 2.2e-10 232.71
75 3.4e-07 7.7e-03 2.2e-05 1.00e+00 1.724037025e+02 1.724045693e+02 2.0e-10 239.61
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037646e+02 1.724045447e+02 1.8e-10 247.06
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038205e+02 1.724045226e+02 1.6e-10 253.56
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038708e+02 1.724045027e+02 1.4e-10 259.69
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039161e+02 1.724044848e+02 1.3e-10 264.81
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039568e+02 1.724044686e+02 1.2e-10 269.46
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039935e+02 1.724044541e+02 1.0e-10 274.24
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040265e+02 1.724044410e+02 9.4e-11 278.34
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040561e+02 1.724044293e+02 8.5e-11 280.42
84 1.3e-07 7.5e-03 8.7e-06 1.00e+00 1.724040829e+02 1.724044187e+02 7.6e-11 285.39
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041069e+02 1.724044091e+02 6.9e-11 290.01
86 1.1e-07 7.4e-03 7.0e-06 1.00e+00 1.724041285e+02 1.724044005e+02 6.2e-11 294.25
87 9.5e-08 7.4e-03 6.3e-06 1.00e+00 1.724041480e+02 1.724043928e+02 5.6e-11 299.57
88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041655e+02 1.724043859e+02 5.0e-11 299.60
89 7.7e-08 7.4e-03 5.1e-06 1.00e+00 1.724041813e+02 1.724043796e+02 4.5e-11 299.65
90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041955e+02 1.724043739e+02 4.0e-11 299.71
91 6.2e-08 7.4e-03 4.2e-06 9.99e-01 1.724042082e+02 1.724043689e+02 3.6e-11 299.75
92 5.6e-08 7.3e-03 3.7e-06 1.00e+00 1.724042197e+02 1.724043643e+02 3.3e-11 299.78
93 5.0e-08 7.3e-03 3.4e-06 9.99e-01 1.724042301e+02 1.724043602e+02 3.0e-11 299.82
94 4.5e-08 7.3e-03 3.0e-06 9.99e-01 1.724042394e+02 1.724043565e+02 2.7e-11 299.85
95 4.1e-08 7.3e-03 2.7e-06 1.00e+00 1.724042477e+02 1.724043531e+02 2.4e-11 299.88
96 3.7e-08 7.3e-03 2.5e-06 1.00e+00 1.724042553e+02 1.724043501e+02 2.2e-11 299.92
97 3.3e-08 7.3e-03 2.2e-06 9.98e-01 1.724042621e+02 1.724043474e+02 1.9e-11 299.96
98 3.0e-08 7.3e-03 2.0e-06 9.98e-01 1.724042682e+02 1.724043450e+02 1.7e-11 299.99
99 2.7e-08 7.3e-03 1.8e-06 9.99e-01 1.724042736e+02 1.724043428e+02 1.6e-11 300.02
100 2.4e-08 7.2e-03 1.6e-06 9.99e-01 1.724042786e+02 1.724043408e+02 1.4e-11 300.04
101 2.2e-08 7.2e-03 1.4e-06 1.00e+00 1.724042830e+02 1.724043391e+02 1.3e-11 300.07
102 2.0e-08 6.5e-03 1.3e-06 1.00e+00 1.724042871e+02 1.724043375e+02 1.1e-11 300.09
103 1.8e-08 5.9e-03 1.2e-06 1.00e+00 1.724042907e+02 1.724043360e+02 1.0e-11 300.13
104 1.6e-08 5.3e-03 1.1e-06 9.99e-01 1.724042939e+02 1.724043347e+02 9.3e-12 300.17
105 3.9e-09 1.3e-03 2.6e-07 1.00e+00 1.724043157e+02 1.724043259e+02 2.3e-12 300.20
106 3.6e-09 1.2e-03 2.4e-07 1.01e+00 1.724043165e+02 1.724043256e+02 2.1e-12 300.23
107 8.1e-10 2.6e-04 5.2e-08 1.00e+00 1.724043216e+02 1.724043236e+02 4.6e-13 300.26
Interior-point optimizer terminated. Time: 300.27.
Optimizer terminated. Time: 300.31
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: 1.7240432360e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 300 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 -1.284360424e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.262635415e+05 3.636950505e+00 4.8e-01 0.15
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203757413e+05 1.002085880e+01 1.9e-01 0.17
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.156270476e+05 5.939196485e+01 1.3e-01 0.21
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131820434e+05 2.127606496e+03 1.3e-01 0.24
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.750857507e+04 9.253342869e+03 3.6e-02 0.28
6 4.0e+01 5.2e+01 2.2e+03 -2.39e-01 -5.068346440e+04 1.003935328e+04 1.8e-02 0.31
7 3.0e+01 3.9e+01 1.7e+03 2.16e-01 -4.166688150e+04 8.310011388e+03 1.3e-02 0.34
8 1.9e+01 2.4e+01 1.0e+03 3.78e-01 -2.878216596e+04 5.414761054e+03 8.2e-03 0.37
9 8.0e+00 1.0e+01 4.4e+02 5.99e-01 -1.316010487e+04 3.160857601e+03 3.5e-03 0.84
10 4.0e+00 5.1e+00 2.2e+02 8.45e-01 -6.347176853e+03 2.138436044e+03 1.8e-03 2.05
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.502092984e+03 1.318845912e+03 9.9e-04 7.15
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.332353409e+03 6.477138640e+02 4.1e-04 8.42
13 8.3e-01 1.1e+00 4.6e+01 9.70e-01 -1.217518660e+03 6.005422412e+02 3.7e-04 9.03
14 5.9e-01 7.7e-01 3.3e+01 9.74e-01 -8.114645774e+02 4.901671618e+02 2.6e-04 9.46
15 2.1e-01 7.5e-01 1.2e+01 9.90e-01 -1.973605654e+02 2.838975717e+02 9.8e-05 10.04
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.194424093e+01 2.162391004e+02 4.9e-05 16.36
17 7.7e-02 2.8e-01 4.4e+00 1.01e+00 2.773273941e+01 2.014222732e+02 3.6e-05 18.92
18 5.2e-02 2.0e-01 3.0e+00 1.02e+00 7.871598223e+01 1.952109649e+02 2.4e-05 23.72
19 1.5e-02 1.1e-01 8.7e-01 1.00e+00 1.409225508e+02 1.747335149e+02 7.0e-06 29.06
20 4.0e-03 2.2e-01 2.5e-01 1.02e+00 1.602102632e+02 1.696952436e+02 2.0e-06 35.24
21 2.7e-03 2.2e-01 1.7e-01 1.01e+00 1.623239195e+02 1.687770399e+02 1.3e-06 40.85
22 2.0e-03 1.6e-01 1.2e-01 1.00e+00 1.636804111e+02 1.683151866e+02 9.6e-07 46.49
23 7.7e-04 9.6e-02 4.8e-02 1.01e+00 1.657772228e+02 1.676105820e+02 3.9e-07 52.18
24 3.6e-04 8.1e-02 2.3e-02 1.01e+00 1.664800876e+02 1.673455604e+02 1.8e-07 56.88
25 1.5e-04 8.1e-02 9.6e-03 1.01e+00 1.668359795e+02 1.672046967e+02 7.9e-08 62.43
26 1.4e-04 7.4e-02 8.7e-03 1.01e+00 1.668663988e+02 1.671983722e+02 7.1e-08 67.01
27 1.2e-04 6.7e-02 7.8e-03 1.01e+00 1.668896230e+02 1.671882794e+02 6.4e-08 72.27
28 1.1e-04 6.2e-02 7.0e-03 1.01e+00 1.669108069e+02 1.671795174e+02 5.8e-08 77.50
29 1.0e-04 5.6e-02 6.3e-03 1.01e+00 1.669297044e+02 1.671714747e+02 5.2e-08 82.68
30 9.0e-05 5.1e-02 5.7e-03 1.01e+00 1.669466570e+02 1.671641939e+02 4.7e-08 87.53
31 8.1e-05 4.7e-02 5.1e-03 1.01e+00 1.669618603e+02 1.671575974e+02 4.2e-08 92.58
32 7.3e-05 4.3e-02 4.6e-03 1.01e+00 1.669755008e+02 1.671516264e+02 3.8e-08 99.35
33 6.5e-05 4.0e-02 4.2e-03 1.01e+00 1.669877412e+02 1.671462235e+02 3.4e-08 105.72
34 5.9e-05 3.6e-02 3.7e-03 1.01e+00 1.669987270e+02 1.671413362e+02 3.1e-08 111.27
35 5.3e-05 3.4e-02 3.4e-03 1.00e+00 1.670085884e+02 1.671369165e+02 2.8e-08 118.59
36 4.8e-05 3.1e-02 3.0e-03 1.00e+00 1.670174416e+02 1.671329205e+02 2.5e-08 124.53
37 4.3e-05 2.9e-02 2.7e-03 1.00e+00 1.670253907e+02 1.671293086e+02 2.2e-08 131.20
38 3.9e-05 2.7e-02 2.5e-03 1.00e+00 1.670325291e+02 1.671260446e+02 2.0e-08 137.54
39 3.5e-05 2.5e-02 2.2e-03 1.00e+00 1.670389401e+02 1.671230955e+02 1.8e-08 144.23
40 3.1e-05 2.3e-02 2.0e-03 1.00e+00 1.670446985e+02 1.671204316e+02 1.6e-08 150.92
41 2.8e-05 2.2e-02 1.8e-03 1.00e+00 1.670498714e+02 1.671180257e+02 1.5e-08 157.14
42 2.5e-05 2.0e-02 1.6e-03 1.00e+00 1.670545188e+02 1.671158533e+02 1.3e-08 164.24
43 2.3e-05 1.9e-02 1.5e-03 1.00e+00 1.670586945e+02 1.671138921e+02 1.2e-08 171.11
44 2.1e-05 1.8e-02 1.3e-03 1.00e+00 1.670624466e+02 1.671121218e+02 1.1e-08 178.30
45 1.8e-05 1.7e-02 1.2e-03 1.00e+00 1.670658186e+02 1.671105240e+02 9.6e-09 183.84
46 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.670688492e+02 1.671090823e+02 8.7e-09 189.78
47 1.5e-05 1.5e-02 9.5e-04 1.00e+00 1.670715732e+02 1.671077816e+02 7.8e-09 195.80
48 1.3e-05 1.4e-02 8.6e-04 1.00e+00 1.670740217e+02 1.671066082e+02 7.0e-09 197.17
49 1.2e-05 1.4e-02 7.7e-04 1.00e+00 1.670762229e+02 1.671055500e+02 6.3e-09 197.22
50 1.1e-05 1.3e-02 6.9e-04 1.00e+00 1.670782018e+02 1.671045956e+02 5.7e-09 197.25
51 9.8e-06 1.3e-02 6.2e-04 1.00e+00 1.670799811e+02 1.671037350e+02 5.1e-09 197.29
52 8.8e-06 1.2e-02 5.6e-04 1.00e+00 1.670815810e+02 1.671029590e+02 4.6e-09 197.36
53 8.0e-06 1.2e-02 5.1e-04 1.00e+00 1.670830197e+02 1.671022596e+02 4.2e-09 197.42
54 7.2e-06 1.1e-02 4.6e-04 1.00e+00 1.670843135e+02 1.671016291e+02 3.7e-09 197.46
55 6.4e-06 1.1e-02 4.1e-04 1.00e+00 1.670854771e+02 1.671010609e+02 3.4e-09 197.49
56 5.8e-06 1.1e-02 3.7e-04 1.00e+00 1.670865236e+02 1.671005489e+02 3.0e-09 197.51
57 5.2e-06 1.0e-02 3.3e-04 1.00e+00 1.670874648e+02 1.671000876e+02 2.7e-09 197.61
58 1.6e-06 3.3e-03 1.1e-04 1.00e+00 1.670932325e+02 1.670972298e+02 8.6e-10 197.72
59 1.5e-06 3.0e-03 9.5e-05 1.00e+00 1.670935013e+02 1.670970991e+02 7.8e-10 197.89
60 1.3e-06 2.7e-03 8.5e-05 1.00e+00 1.670937452e+02 1.670969832e+02 7.0e-10 197.97
61 5.3e-07 1.1e-03 3.4e-05 1.00e+00 1.670950407e+02 1.670963310e+02 2.8e-10 199.88
62 4.8e-07 9.6e-04 3.1e-05 1.00e+00 1.670951292e+02 1.670962904e+02 2.5e-10 200.21
63 4.3e-07 8.6e-04 2.8e-05 1.00e+00 1.670952064e+02 1.670962514e+02 2.3e-10 207.37
64 3.9e-07 7.7e-04 2.5e-05 1.00e+00 1.670952759e+02 1.670962163e+02 2.0e-10 213.02
65 3.5e-07 7.0e-04 2.2e-05 9.98e-01 1.670953383e+02 1.670961848e+02 1.8e-10 217.34
66 3.1e-07 6.3e-04 2.0e-05 1.00e+00 1.670953945e+02 1.670961563e+02 1.6e-10 221.05
67 2.8e-07 5.6e-04 1.8e-05 9.99e-01 1.670954451e+02 1.670961308e+02 1.5e-10 226.88
68 2.5e-07 5.1e-04 1.6e-05 1.00e+00 1.670954906e+02 1.670961076e+02 1.3e-10 233.56
69 2.3e-07 4.6e-04 1.5e-05 1.00e+00 1.670955315e+02 1.670960868e+02 1.2e-10 239.52
70 2.1e-07 4.1e-04 1.3e-05 1.00e+00 1.670955683e+02 1.670960681e+02 1.1e-10 245.73
71 1.8e-07 3.7e-04 1.2e-05 1.00e+00 1.670956014e+02 1.670960513e+02 9.7e-11 250.96
72 1.7e-07 3.3e-04 1.1e-05 9.94e-01 1.670956312e+02 1.670960362e+02 8.7e-11 257.92
73 1.5e-07 3.0e-04 9.6e-06 9.98e-01 1.670956580e+02 1.670960225e+02 7.9e-11 264.31
74 1.3e-07 2.7e-04 8.6e-06 9.96e-01 1.670956821e+02 1.670960103e+02 7.1e-11 270.64
75 1.2e-07 2.4e-04 7.8e-06 9.97e-01 1.670957039e+02 1.670959992e+02 6.4e-11 276.77
76 1.1e-07 2.2e-04 7.0e-06 9.99e-01 1.670957234e+02 1.670959892e+02 5.7e-11 283.17
77 9.8e-08 2.0e-04 6.3e-06 1.00e+00 1.670957410e+02 1.670959802e+02 5.2e-11 286.35
78 8.8e-08 1.8e-04 5.7e-06 1.00e+00 1.670957568e+02 1.670959721e+02 4.6e-11 292.09
79 8.0e-08 1.6e-04 5.1e-06 9.97e-01 1.670957711e+02 1.670959649e+02 4.2e-11 298.64
80 7.2e-08 1.4e-04 4.6e-06 1.00e+00 1.670957840e+02 1.670959582e+02 3.8e-11 304.97
81 6.4e-08 1.3e-04 4.1e-06 1.01e+00 1.670957958e+02 1.670959522e+02 3.4e-11 311.72
82 5.8e-08 1.2e-04 3.7e-06 1.01e+00 1.670958064e+02 1.670959467e+02 3.1e-11 317.80
83 5.2e-08 1.0e-04 3.3e-06 1.00e+00 1.670958157e+02 1.670959420e+02 2.8e-11 322.69
84 4.7e-08 9.4e-05 3.0e-06 1.01e+00 1.670958245e+02 1.670959374e+02 2.5e-11 324.95
85 4.2e-08 8.5e-05 2.7e-06 9.97e-01 1.670958320e+02 1.670959336e+02 2.2e-11 331.72
86 3.8e-08 7.6e-05 2.4e-06 9.76e-01 1.670958387e+02 1.670959303e+02 2.0e-11 337.52
87 3.4e-08 6.9e-05 2.2e-06 9.99e-01 1.670958448e+02 1.670959272e+02 1.8e-11 344.62
88 3.1e-08 6.2e-05 2.0e-06 1.03e+00 1.670958510e+02 1.670959239e+02 1.7e-11 350.18
89 2.8e-08 5.6e-05 1.8e-06 1.00e+00 1.670958558e+02 1.670959214e+02 1.5e-11 357.60
90 2.5e-08 5.0e-05 1.6e-06 9.94e-01 1.670958602e+02 1.670959192e+02 1.3e-11 364.56
91 2.2e-08 4.5e-05 1.4e-06 1.00e+00 1.670958641e+02 1.670959172e+02 1.2e-11 372.23
92 2.0e-08 4.1e-05 1.3e-06 1.00e+00 1.670958676e+02 1.670959154e+02 1.1e-11 380.71
93 1.8e-08 3.6e-05 1.2e-06 1.07e+00 1.670958719e+02 1.670959131e+02 1.0e-11 386.70
94 1.6e-08 3.3e-05 1.0e-06 1.02e+00 1.670958749e+02 1.670959116e+02 9.3e-12 388.00
95 1.5e-08 3.0e-05 9.4e-07 1.05e+00 1.670958779e+02 1.670959099e+02 8.6e-12 394.34
Interior-point optimizer terminated. Time: 394.34.
Optimizer terminated. Time: 394.38
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587793e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709590995e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 394 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 : 0.10 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.07
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 -1.281650040e+05 2.000000000e+00 1.0e+00 0.14
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260064488e+05 3.586598563e+00 4.8e-01 0.46
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.201036128e+05 9.955125221e+00 1.9e-01 0.49
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.153209893e+05 5.962447810e+01 1.3e-01 0.53
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.127512769e+05 2.237183694e+03 1.3e-01 0.57
5 7.6e+01 9.7e+01 4.2e+03 -7.55e-01 -7.475664192e+04 9.749659852e+03 3.3e-02 1.11
6 3.7e+01 4.7e+01 2.0e+03 -1.99e-01 -4.738444247e+04 1.028818953e+04 1.6e-02 2.02
7 2.3e+01 3.0e+01 1.3e+03 2.71e-01 -3.362052549e+04 7.292012163e+03 1.0e-02 2.35
8 1.4e+01 1.7e+01 7.6e+02 5.18e-01 -2.155826433e+04 4.842537822e+03 6.0e-03 8.95
9 5.4e+00 6.9e+00 3.0e+02 7.18e-01 -8.872619260e+03 2.461231420e+03 2.4e-03 15.39
10 2.4e+00 3.1e+00 1.4e+02 9.11e-01 -3.777344529e+03 1.422699357e+03 1.1e-03 21.67
11 1.8e+00 2.3e+00 1.0e+02 9.74e-01 -2.754291599e+03 1.093078216e+03 7.9e-04 27.05
12 8.1e-01 1.0e+00 4.6e+01 9.82e-01 -1.172185465e+03 5.956567363e+02 3.6e-04 32.96
13 7.5e-01 1.1e+00 4.2e+01 9.46e-01 -1.100303400e+03 5.585000358e+02 3.4e-04 39.73
14 6.2e-01 8.9e-01 3.5e+01 9.87e-01 -8.693258564e+02 5.054043744e+02 2.8e-04 45.96
15 1.8e-01 2.9e-01 1.0e+01 9.89e-01 -1.579532743e+02 2.544988584e+02 8.4e-05 51.32
16 1.0e-01 1.8e-01 5.8e+00 1.01e+00 -1.917029387e+01 2.099840079e+02 4.7e-05 53.16
17 1.0e-01 1.8e-01 5.8e+00 1.02e+00 -1.750099475e+01 2.103208213e+02 4.7e-05 58.20
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.630739433e+01 2.107226834e+02 4.0e-05 64.85
19 4.3e-02 9.8e-02 2.5e+00 1.01e+00 9.144543993e+01 1.875633819e+02 2.0e-05 70.52
20 1.2e-02 1.6e-01 7.1e-01 1.01e+00 1.464213038e+02 1.736014436e+02 5.7e-06 75.85
21 4.7e-03 3.6e-01 2.8e-01 1.01e+00 1.584905542e+02 1.691033375e+02 2.3e-06 81.30
22 1.2e-03 1.8e-01 7.5e-02 1.01e+00 1.645724843e+02 1.674403912e+02 6.1e-07 87.80
23 6.6e-04 1.2e-01 4.1e-02 9.80e-01 1.655128492e+02 1.670779490e+02 3.4e-07 93.18
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662879396e+02 1.667831358e+02 1.1e-07 98.77
25 6.9e-05 1.0e-01 4.5e-03 1.01e+00 1.665171033e+02 1.666889243e+02 3.8e-08 101.95
26 3.1e-05 8.7e-02 2.1e-03 1.01e+00 1.665829620e+02 1.666610872e+02 1.8e-08 108.31
27 2.8e-05 7.9e-02 1.9e-03 1.01e+00 1.665892622e+02 1.666595799e+02 1.6e-08 114.58
28 2.5e-05 7.2e-02 1.7e-03 1.00e+00 1.665940974e+02 1.666573665e+02 1.4e-08 121.16
29 2.3e-05 6.6e-02 1.5e-03 1.00e+00 1.665985133e+02 1.666554471e+02 1.3e-08 127.92
30 2.0e-05 6.0e-02 1.4e-03 1.00e+00 1.666024749e+02 1.666537075e+02 1.1e-08 134.86
31 1.8e-05 5.5e-02 1.2e-03 1.00e+00 1.666060359e+02 1.666521389e+02 1.0e-08 140.88
32 1.7e-05 5.0e-02 1.1e-03 1.00e+00 1.666092359e+02 1.666507234e+02 9.3e-09 146.12
33 1.5e-05 4.6e-02 9.9e-04 1.00e+00 1.666121120e+02 1.666494464e+02 8.4e-09 147.16
34 1.3e-05 4.2e-02 8.9e-04 1.00e+00 1.666146971e+02 1.666482945e+02 7.5e-09 152.86
35 1.2e-05 3.9e-02 8.0e-04 1.00e+00 1.666170208e+02 1.666472556e+02 6.8e-09 159.05
36 1.1e-05 3.5e-02 7.2e-04 1.00e+00 1.666191097e+02 1.666463186e+02 6.1e-09 165.97
37 9.8e-06 3.3e-02 6.5e-04 1.00e+00 1.666209875e+02 1.666454736e+02 5.5e-09 172.12
38 8.8e-06 3.0e-02 5.9e-04 1.00e+00 1.666226758e+02 1.666447117e+02 5.0e-09 175.85
39 7.9e-06 2.8e-02 5.3e-04 1.00e+00 1.666241937e+02 1.666440248e+02 4.5e-09 175.89
40 7.1e-06 2.6e-02 4.7e-04 1.00e+00 1.666255585e+02 1.666434054e+02 4.0e-09 175.92
41 6.4e-06 2.4e-02 4.3e-04 1.00e+00 1.666267857e+02 1.666428471e+02 3.6e-09 175.95
42 5.8e-06 2.3e-02 3.8e-04 1.00e+00 1.666278892e+02 1.666423438e+02 3.3e-09 175.98
43 5.2e-06 2.1e-02 3.5e-04 1.00e+00 1.666288815e+02 1.666418901e+02 2.9e-09 176.01
44 4.7e-06 2.0e-02 3.1e-04 1.00e+00 1.666297738e+02 1.666414811e+02 2.6e-09 176.04
45 4.2e-06 1.9e-02 2.8e-04 1.00e+00 1.666305763e+02 1.666411125e+02 2.4e-09 176.07
46 3.8e-06 1.7e-02 2.5e-04 1.00e+00 1.666312978e+02 1.666407801e+02 2.1e-09 176.10
47 3.4e-06 1.7e-02 2.3e-04 1.00e+00 1.666319467e+02 1.666404806e+02 1.9e-09 176.13
48 3.1e-06 1.6e-02 2.0e-04 1.00e+00 1.666325302e+02 1.666402105e+02 1.7e-09 176.16
49 2.8e-06 1.5e-02 1.8e-04 1.00e+00 1.666330549e+02 1.666399670e+02 1.6e-09 176.19
50 2.5e-06 1.4e-02 1.7e-04 1.00e+00 1.666335267e+02 1.666397476e+02 1.4e-09 176.22
51 2.2e-06 1.4e-02 1.5e-04 1.00e+00 1.666339511e+02 1.666395497e+02 1.3e-09 176.25
52 2.0e-06 1.3e-02 1.3e-04 1.00e+00 1.666343328e+02 1.666393715e+02 1.1e-09 176.28
53 1.8e-06 1.2e-02 1.2e-04 1.00e+00 1.666346761e+02 1.666392108e+02 1.0e-09 176.31
54 1.6e-06 1.2e-02 1.1e-04 1.00e+00 1.666349849e+02 1.666390661e+02 9.2e-10 176.35
55 1.5e-06 1.2e-02 9.8e-05 1.00e+00 1.666352626e+02 1.666389357e+02 8.3e-10 176.38
56 1.3e-06 1.1e-02 8.8e-05 1.00e+00 1.666355124e+02 1.666388182e+02 7.4e-10 176.40
57 1.2e-06 1.1e-02 7.9e-05 1.00e+00 1.666357372e+02 1.666387123e+02 6.7e-10 176.43
58 1.1e-06 1.1e-02 7.1e-05 1.00e+00 1.666359393e+02 1.666386169e+02 6.0e-10 176.46
59 9.6e-07 1.0e-02 6.4e-05 1.00e+00 1.666361211e+02 1.666385309e+02 5.4e-10 176.49
60 8.7e-07 1.0e-02 5.8e-05 1.00e+00 1.666362846e+02 1.666384534e+02 4.9e-10 176.53
61 7.8e-07 9.9e-03 5.2e-05 1.00e+00 1.666364316e+02 1.666383836e+02 4.4e-10 176.56
62 7.0e-07 9.7e-03 4.7e-05 1.00e+00 1.666365638e+02 1.666383206e+02 4.0e-10 176.60
63 6.3e-07 9.5e-03 4.2e-05 1.00e+00 1.666366828e+02 1.666382639e+02 3.6e-10 176.63
64 5.7e-07 9.3e-03 3.8e-05 1.00e+00 1.666367897e+02 1.666382127e+02 3.2e-10 176.67
65 5.1e-07 9.2e-03 3.4e-05 1.00e+00 1.666368859e+02 1.666381666e+02 2.9e-10 176.70
66 4.6e-07 9.0e-03 3.1e-05 1.00e+00 1.666369724e+02 1.666381250e+02 2.6e-10 176.74
67 4.1e-07 8.9e-03 2.8e-05 9.99e-01 1.666370501e+02 1.666380875e+02 2.3e-10 176.76
68 3.7e-07 8.8e-03 2.5e-05 1.00e+00 1.666371200e+02 1.666380537e+02 2.1e-10 176.80
69 3.4e-07 8.7e-03 2.2e-05 1.00e+00 1.666371829e+02 1.666380233e+02 1.9e-10 176.83
70 3.0e-07 8.6e-03 2.0e-05 1.00e+00 1.666372395e+02 1.666379958e+02 1.7e-10 176.86
71 2.7e-07 8.5e-03 1.8e-05 1.00e+00 1.666372903e+02 1.666379710e+02 1.5e-10 176.89
72 2.4e-07 8.5e-03 1.6e-05 1.00e+00 1.666373361e+02 1.666379487e+02 1.4e-10 176.92
73 2.2e-07 8.4e-03 1.5e-05 1.00e+00 1.666373773e+02 1.666379286e+02 1.2e-10 176.95
74 2.0e-07 8.3e-03 1.3e-05 1.00e+00 1.666374143e+02 1.666379105e+02 1.1e-10 176.98
75 1.8e-07 8.3e-03 1.2e-05 1.00e+00 1.666374476e+02 1.666378942e+02 1.0e-10 177.01
76 1.6e-07 8.2e-03 1.1e-05 1.00e+00 1.666374776e+02 1.666378795e+02 9.1e-11 177.04
77 1.4e-07 8.2e-03 9.6e-06 1.00e+00 1.666375045e+02 1.666378662e+02 8.1e-11 177.07
78 1.3e-07 8.1e-03 8.7e-06 1.00e+00 1.666375288e+02 1.666378543e+02 7.3e-11 177.10
79 1.2e-07 8.1e-03 7.8e-06 9.96e-01 1.666375506e+02 1.666378436e+02 6.6e-11 177.13
80 1.1e-07 8.0e-03 7.0e-06 9.96e-01 1.666375702e+02 1.666378340e+02 5.9e-11 177.16
81 9.5e-08 8.0e-03 6.3e-06 9.98e-01 1.666375879e+02 1.666378254e+02 5.3e-11 177.19
82 8.5e-08 7.9e-03 5.7e-06 1.00e+00 1.666376038e+02 1.666378175e+02 4.8e-11 177.22
83 7.7e-08 7.9e-03 5.1e-06 1.00e+00 1.666376182e+02 1.666378105e+02 4.3e-11 177.25
84 6.9e-08 7.9e-03 4.6e-06 1.00e+00 1.666376310e+02 1.666378041e+02 3.9e-11 177.28
85 6.2e-08 7.9e-03 4.1e-06 1.00e+00 1.666376426e+02 1.666377984e+02 3.5e-11 177.31
86 5.6e-08 7.8e-03 3.7e-06 9.89e-01 1.666376531e+02 1.666377933e+02 3.2e-11 177.35
87 5.0e-08 7.8e-03 3.4e-06 9.91e-01 1.666376624e+02 1.666377887e+02 2.8e-11 177.38
88 4.5e-08 7.8e-03 3.0e-06 9.99e-01 1.666376709e+02 1.666377846e+02 2.6e-11 177.41
89 4.1e-08 7.0e-03 2.7e-06 1.01e+00 1.666376787e+02 1.666377807e+02 2.3e-11 177.43
90 3.7e-08 6.3e-03 2.4e-06 1.01e+00 1.666376858e+02 1.666377771e+02 2.1e-11 177.46
91 3.3e-08 5.6e-03 2.2e-06 9.83e-01 1.666376919e+02 1.666377742e+02 1.9e-11 177.49
92 3.0e-08 5.1e-03 2.0e-06 9.91e-01 1.666376974e+02 1.666377715e+02 1.7e-11 177.52
93 2.7e-08 4.6e-03 1.8e-06 9.90e-01 1.666377024e+02 1.666377691e+02 1.5e-11 177.55
94 2.4e-08 4.1e-03 1.6e-06 1.01e+00 1.666377069e+02 1.666377668e+02 1.4e-11 177.58
95 2.2e-08 3.7e-03 1.4e-06 9.97e-01 1.666377109e+02 1.666377648e+02 1.2e-11 177.61
96 2.0e-08 3.3e-03 1.3e-06 1.00e+00 1.666377146e+02 1.666377630e+02 1.1e-11 177.64
97 1.8e-08 3.0e-03 1.2e-06 1.01e+00 1.666377179e+02 1.666377613e+02 1.0e-11 177.67
98 1.6e-08 2.7e-03 1.1e-06 9.84e-01 1.666377208e+02 1.666377599e+02 9.1e-12 177.71
99 1.4e-08 2.4e-03 9.5e-07 9.81e-01 1.666377234e+02 1.666377586e+02 8.1e-12 177.73
100 1.3e-08 2.2e-03 8.5e-07 9.87e-01 1.666377258e+02 1.666377575e+02 7.3e-12 177.76
101 1.2e-08 2.0e-03 7.7e-07 1.01e+00 1.666377280e+02 1.666377564e+02 6.6e-12 177.79
102 1.0e-08 1.8e-03 6.9e-07 9.82e-01 1.666377299e+02 1.666377554e+02 6.0e-12 177.82
103 9.4e-09 1.6e-03 6.2e-07 9.39e-01 1.666377316e+02 1.666377546e+02 5.4e-12 177.86
104 8.4e-09 1.4e-03 5.6e-07 1.09e+00 1.666377337e+02 1.666377535e+02 5.0e-12 177.89
105 7.6e-09 1.3e-03 5.0e-07 9.51e-01 1.666377350e+02 1.666377529e+02 4.5e-12 177.92
106 6.8e-09 1.2e-03 4.5e-07 9.76e-01 1.666377362e+02 1.666377523e+02 4.1e-12 177.95
107 6.2e-09 1.0e-03 4.1e-07 1.02e+00 1.666377374e+02 1.666377517e+02 3.7e-12 177.98
108 5.6e-09 9.4e-04 3.7e-07 1.04e+00 1.666377386e+02 1.666377511e+02 3.4e-12 178.01
109 5.0e-09 8.5e-04 3.3e-07 1.03e+00 1.666377395e+02 1.666377506e+02 3.1e-12 178.03
110 4.6e-09 7.6e-04 3.0e-07 1.10e+00 1.666377406e+02 1.666377500e+02 2.9e-12 178.06
111 4.1e-09 6.9e-04 2.7e-07 9.65e-01 1.666377412e+02 1.666377497e+02 2.7e-12 178.09
112 3.7e-09 6.2e-04 2.4e-07 1.01e+00 1.666377418e+02 1.666377495e+02 2.4e-12 178.11
113 1.5e-09 6.7e-05 2.6e-08 1.01e+00 1.666377464e+02 1.666377472e+02 2.5e-13 178.15
Interior-point optimizer terminated. Time: 178.15.
Optimizer terminated. Time: 178.18
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774639e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.6663774722e+02 Viol. con: 0e+00 var: 4e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 178 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 : 0.03
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 -1.281256837e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259652933e+05 3.580273412e+00 4.8e-01 0.12
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.199460156e+05 1.005567606e+01 1.9e-01 0.15
3 2.9e+02 3.7e+02 1.6e+04 -8.41e-01 -1.152369813e+05 6.134022791e+01 1.3e-01 0.18
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.125938774e+05 2.293613993e+03 1.3e-01 0.22
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.359808203e+04 9.834635746e+03 3.2e-02 0.25
6 3.6e+01 4.5e+01 2.0e+03 -1.82e-01 -4.627584801e+04 1.009594859e+04 1.6e-02 0.27
7 2.1e+01 2.7e+01 1.2e+03 2.90e-01 -3.084202342e+04 6.881647777e+03 9.2e-03 0.30
8 1.2e+01 1.6e+01 6.7e+02 5.65e-01 -1.932391985e+04 4.483626738e+03 5.4e-03 0.34
9 4.7e+00 6.0e+00 2.6e+02 7.54e-01 -7.701982874e+03 2.174745860e+03 2.1e-03 0.37
10 2.3e+00 2.9e+00 1.3e+02 9.26e-01 -3.516858933e+03 1.397319535e+03 1.0e-03 0.40
11 1.5e+00 1.9e+00 8.4e+01 9.76e-01 -2.278055939e+03 9.686742010e+02 6.7e-04 0.43
12 8.5e-01 1.1e+00 4.7e+01 9.85e-01 -1.223619868e+03 6.225979235e+02 3.8e-04 0.46
13 7.5e-01 9.9e-01 4.2e+01 9.54e-01 -1.085111001e+03 5.622485733e+02 3.3e-04 0.49
14 3.7e-01 4.9e-01 2.1e+01 9.85e-01 -4.368197940e+02 3.757306143e+02 1.7e-04 0.52
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.425570441e+02 2.585351236e+02 8.2e-05 0.55
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 5.484230033e+00 2.044129203e+02 4.1e-05 0.59
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.455516076e+01 2.066563397e+02 4.0e-05 0.62
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 6.001220938e+01 1.948456427e+02 2.8e-05 0.66
19 2.9e-02 7.3e-02 1.7e+00 1.01e+00 1.156053029e+02 1.809647824e+02 1.4e-05 0.69
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.526398332e+02 1.716139666e+02 4.0e-06 0.71
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622522119e+02 1.679613497e+02 1.2e-06 0.74
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639807322e+02 1.674413356e+02 7.3e-07 0.78
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656593403e+02 1.668669763e+02 2.6e-07 0.82
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661981695e+02 1.666657458e+02 1.0e-07 0.85
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662345736e+02 1.666552713e+02 9.2e-08 0.88
26 1.6e-04 7.9e-02 9.9e-03 1.01e+00 1.662646311e+02 1.666431178e+02 8.3e-08 0.91
27 1.4e-04 7.2e-02 8.9e-03 1.01e+00 1.662918629e+02 1.666323887e+02 7.5e-08 0.94
28 1.3e-04 6.6e-02 8.0e-03 1.01e+00 1.663162461e+02 1.666226262e+02 6.7e-08 0.97
29 1.2e-04 6.0e-02 7.2e-03 1.01e+00 1.663381283e+02 1.666137935e+02 6.0e-08 1.01
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663577602e+02 1.666057958e+02 5.4e-08 1.04
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663753751e+02 1.665985555e+02 4.9e-08 1.06
32 8.4e-05 4.6e-02 5.3e-03 1.01e+00 1.663911810e+02 1.665920012e+02 4.4e-08 1.09
33 7.6e-05 4.2e-02 4.7e-03 1.01e+00 1.664053648e+02 1.665860687e+02 4.0e-08 1.12
34 6.8e-05 3.9e-02 4.3e-03 1.01e+00 1.664180942e+02 1.665806998e+02 3.6e-08 1.15
35 6.2e-05 3.5e-02 3.8e-03 1.01e+00 1.664295195e+02 1.665758421e+02 3.2e-08 1.18
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664397755e+02 1.665714477e+02 2.9e-08 1.21
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664489828e+02 1.665674733e+02 2.6e-08 1.24
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664572497e+02 1.665638795e+02 2.3e-08 1.28
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664646729e+02 1.665606304e+02 2.1e-08 1.31
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664713393e+02 1.665576937e+02 1.9e-08 1.34
41 3.3e-05 2.2e-02 2.0e-03 1.00e+00 1.664773267e+02 1.665550398e+02 1.7e-08 1.37
42 2.9e-05 2.1e-02 1.8e-03 1.00e+00 1.664827048e+02 1.665526419e+02 1.5e-08 1.40
43 2.6e-05 2.0e-02 1.7e-03 1.00e+00 1.664875361e+02 1.665504758e+02 1.4e-08 1.44
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664918765e+02 1.665485195e+02 1.2e-08 1.47
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664957765e+02 1.665467529e+02 1.1e-08 1.50
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664992809e+02 1.665451580e+02 1.0e-08 1.54
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665024304e+02 1.665437184e+02 9.1e-09 1.57
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665052611e+02 1.665424193e+02 8.2e-09 1.60
49 1.4e-05 1.4e-02 8.8e-04 1.00e+00 1.665078056e+02 1.665412472e+02 7.4e-09 1.64
50 1.3e-05 1.4e-02 7.9e-04 1.00e+00 1.665100931e+02 1.665401900e+02 6.6e-09 1.67
51 1.1e-05 1.3e-02 7.1e-04 1.00e+00 1.665121498e+02 1.665392365e+02 6.0e-09 1.70
52 1.0e-05 1.2e-02 6.4e-04 1.00e+00 1.665139991e+02 1.665383769e+02 5.4e-09 1.73
53 9.2e-06 1.2e-02 5.8e-04 1.00e+00 1.665156621e+02 1.665376019e+02 4.8e-09 1.75
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665171577e+02 1.665369034e+02 4.3e-09 1.78
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665185029e+02 1.665362739e+02 3.9e-09 1.82
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665197128e+02 1.665357066e+02 3.5e-09 1.85
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665208011e+02 1.665351956e+02 3.2e-09 1.88
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217800e+02 1.665347351e+02 2.9e-09 1.93
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226606e+02 1.665343202e+02 2.6e-09 1.96
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234527e+02 1.665339464e+02 2.3e-09 2.00
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241652e+02 1.665336096e+02 2.1e-09 2.03
62 3.6e-06 9.5e-03 2.2e-04 1.00e+00 1.665248061e+02 1.665333061e+02 1.9e-09 2.07
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253825e+02 1.665330325e+02 1.7e-09 2.10
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665259010e+02 1.665327861e+02 1.5e-09 2.14
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263673e+02 1.665325639e+02 1.4e-09 2.17
66 2.3e-06 9.0e-03 1.5e-04 1.00e+00 1.665267868e+02 1.665323638e+02 1.2e-09 2.20
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271641e+02 1.665321835e+02 1.1e-09 2.24
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665275036e+02 1.665320211e+02 1.0e-09 2.27
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665278090e+02 1.665318747e+02 9.0e-10 2.30
70 1.5e-06 8.6e-03 9.6e-05 1.00e+00 1.665280837e+02 1.665317429e+02 8.1e-10 2.34
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283309e+02 1.665316242e+02 7.3e-10 2.37
72 1.2e-06 8.5e-03 7.8e-05 1.00e+00 1.665285532e+02 1.665315172e+02 6.5e-10 2.41
73 1.1e-06 8.5e-03 7.0e-05 1.00e+00 1.665287532e+02 1.665314208e+02 5.9e-10 2.44
74 1.0e-06 8.4e-03 6.3e-05 1.00e+00 1.665289331e+02 1.665313340e+02 5.3e-10 2.47
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290950e+02 1.665312558e+02 4.8e-10 2.51
76 8.2e-07 8.3e-03 5.1e-05 1.00e+00 1.665292406e+02 1.665311853e+02 4.3e-10 2.54
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293715e+02 1.665311218e+02 3.9e-10 2.58
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294893e+02 1.665310645e+02 3.5e-10 2.61
79 6.0e-07 8.2e-03 3.7e-05 1.00e+00 1.665295952e+02 1.665310129e+02 3.1e-10 2.64
80 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.665296904e+02 1.665309664e+02 2.8e-10 2.68
81 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.665297761e+02 1.665309245e+02 2.5e-10 2.72
82 4.4e-07 8.1e-03 2.7e-05 1.00e+00 1.665298531e+02 1.665308866e+02 2.3e-10 2.75
83 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.665299224e+02 1.665308526e+02 2.1e-10 2.78
84 3.5e-07 8.0e-03 2.2e-05 1.00e+00 1.665299846e+02 1.665308219e+02 1.8e-10 2.82
85 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.665300407e+02 1.665307942e+02 1.7e-10 2.85
86 2.9e-07 8.0e-03 1.8e-05 9.99e-01 1.665300910e+02 1.665307692e+02 1.5e-10 2.88
87 2.6e-07 8.0e-03 1.6e-05 9.99e-01 1.665301363e+02 1.665307468e+02 1.3e-10 2.92
88 2.3e-07 7.9e-03 1.4e-05 9.99e-01 1.665301771e+02 1.665307265e+02 1.2e-10 2.95
89 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.665302138e+02 1.665307082e+02 1.1e-10 2.98
90 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.665302468e+02 1.665306918e+02 9.8e-11 3.02
91 1.7e-07 7.9e-03 1.1e-05 9.99e-01 1.665302764e+02 1.665306770e+02 8.8e-11 3.05
92 1.5e-07 7.9e-03 9.5e-06 9.99e-01 1.665303031e+02 1.665306636e+02 7.9e-11 3.08
93 1.4e-07 7.8e-03 8.6e-06 1.00e+00 1.665303272e+02 1.665306516e+02 7.2e-11 3.12
94 1.2e-07 7.8e-03 7.7e-06 9.99e-01 1.665303488e+02 1.665306408e+02 6.4e-11 3.15
95 1.1e-07 7.8e-03 6.9e-06 1.00e+00 1.665303682e+02 1.665306310e+02 5.8e-11 3.18
96 1.0e-07 7.8e-03 6.2e-06 1.00e+00 1.665303858e+02 1.665306222e+02 5.2e-11 3.21
97 9.0e-08 7.8e-03 5.6e-06 1.00e+00 1.665304015e+02 1.665306143e+02 4.7e-11 3.24
98 8.1e-08 7.8e-03 5.1e-06 9.96e-01 1.665304157e+02 1.665306072e+02 4.2e-11 3.27
99 7.3e-08 7.7e-03 4.5e-06 1.00e+00 1.665304284e+02 1.665306008e+02 3.8e-11 3.31
100 6.5e-08 7.7e-03 4.1e-06 1.00e+00 1.665304399e+02 1.665305950e+02 3.4e-11 3.34
101 5.9e-08 7.0e-03 3.7e-06 1.01e+00 1.665304504e+02 1.665305897e+02 3.1e-11 3.38
102 5.3e-08 6.3e-03 3.3e-06 9.90e-01 1.665304597e+02 1.665305851e+02 2.8e-11 3.41
103 4.8e-08 5.6e-03 3.0e-06 1.00e+00 1.665304681e+02 1.665305809e+02 2.5e-11 3.44
104 4.3e-08 5.1e-03 2.7e-06 9.93e-01 1.665304756e+02 1.665305771e+02 2.3e-11 3.48
105 3.9e-08 4.6e-03 2.4e-06 9.91e-01 1.665304824e+02 1.665305738e+02 2.0e-11 3.51
106 3.5e-08 4.1e-03 2.2e-06 1.00e+00 1.665304884e+02 1.665305707e+02 1.8e-11 3.55
107 3.1e-08 3.7e-03 2.0e-06 1.01e+00 1.665304940e+02 1.665305679e+02 1.6e-11 3.58
108 2.8e-08 3.3e-03 1.8e-06 9.89e-01 1.665304989e+02 1.665305654e+02 1.5e-11 3.61
109 2.5e-08 3.0e-03 1.6e-06 9.97e-01 1.665305033e+02 1.665305632e+02 1.3e-11 3.65
110 2.3e-08 2.7e-03 1.4e-06 9.92e-01 1.665305073e+02 1.665305612e+02 1.2e-11 3.68
111 2.1e-08 2.4e-03 1.3e-06 1.00e+00 1.665305109e+02 1.665305594e+02 1.1e-11 3.71
112 1.8e-08 2.2e-03 1.2e-06 9.76e-01 1.665305141e+02 1.665305578e+02 9.7e-12 3.74
113 1.7e-08 2.0e-03 1.0e-06 9.87e-01 1.665305170e+02 1.665305564e+02 8.7e-12 3.78
114 1.5e-08 1.8e-03 9.4e-07 9.75e-01 1.665305196e+02 1.665305551e+02 7.9e-12 3.81
115 1.3e-08 1.6e-03 8.4e-07 9.86e-01 1.665305220e+02 1.665305539e+02 7.1e-12 3.84
116 1.2e-08 1.4e-03 7.6e-07 9.64e-01 1.665305241e+02 1.665305529e+02 6.4e-12 3.88
117 1.1e-08 1.3e-03 6.8e-07 9.92e-01 1.665305260e+02 1.665305519e+02 5.7e-12 3.91
118 9.8e-09 1.2e-03 6.1e-07 9.67e-01 1.665305277e+02 1.665305511e+02 5.2e-12 3.94
119 8.8e-09 1.0e-03 5.5e-07 9.54e-01 1.665305292e+02 1.665305503e+02 4.7e-12 3.97
120 8.0e-09 9.4e-04 5.0e-07 1.06e+00 1.665305310e+02 1.665305494e+02 4.3e-12 4.01
121 7.2e-09 8.5e-04 4.5e-07 9.70e-01 1.665305322e+02 1.665305488e+02 3.9e-12 4.04
122 6.5e-09 7.6e-04 4.0e-07 1.04e+00 1.665305335e+02 1.665305481e+02 3.6e-12 4.07
123 5.8e-09 6.8e-04 3.6e-07 1.04e+00 1.665305346e+02 1.665305475e+02 3.3e-12 4.10
124 5.3e-09 6.2e-04 3.3e-07 9.58e-01 1.665305355e+02 1.665305471e+02 2.9e-12 4.14
125 4.8e-09 5.5e-04 2.9e-07 9.05e-01 1.665305362e+02 1.665305467e+02 2.6e-12 4.17
126 4.3e-09 5.0e-04 2.6e-07 1.05e+00 1.665305371e+02 1.665305463e+02 2.4e-12 4.20
127 3.8e-09 4.5e-04 2.4e-07 1.02e+00 1.665305378e+02 1.665305459e+02 2.2e-12 4.24
128 3.5e-09 4.0e-04 2.1e-07 1.00e+00 1.665305383e+02 1.665305456e+02 2.0e-12 4.27
129 3.1e-09 3.6e-04 1.9e-07 9.39e-01 1.665305388e+02 1.665305454e+02 1.8e-12 4.30
130 2.8e-09 3.3e-04 1.7e-07 1.04e+00 1.665305393e+02 1.665305451e+02 1.6e-12 4.34
131 2.5e-09 2.9e-04 1.6e-07 1.04e+00 1.665305397e+02 1.665305449e+02 1.5e-12 4.37
132 6.2e-10 3.0e-05 1.6e-08 9.85e-01 1.665305428e+02 1.665305433e+02 1.6e-13 4.40
Interior-point optimizer terminated. Time: 4.40.
Optimizer terminated. Time: 4.43
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054282e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6653054335e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.46 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 : 0.07 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 -1.281219225e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259510014e+05 3.575672576e+00 4.8e-01 0.13
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.198706843e+05 1.013520853e+01 1.9e-01 0.16
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.151566024e+05 6.243046247e+01 1.2e-01 0.19
4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125384739e+05 2.273182373e+03 1.2e-01 0.22
5 7.5e+01 9.6e+01 4.1e+03 -7.53e-01 -7.445606507e+04 9.639356680e+03 3.3e-02 0.25
6 3.3e+01 4.2e+01 1.8e+03 -1.95e-01 -4.330176851e+04 1.030586558e+04 1.4e-02 0.28
7 1.9e+01 2.5e+01 1.1e+03 3.42e-01 -2.853323480e+04 6.914887137e+03 8.5e-03 0.31
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.808894173e+04 4.388508306e+03 5.0e-03 0.34
9 4.5e+00 5.7e+00 2.5e+02 7.74e-01 -7.326209862e+03 2.100233093e+03 2.0e-03 0.37
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.203271777e+03 1.327239178e+03 9.3e-04 0.40
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.002124058e+03 8.889956307e+02 6.0e-04 0.43
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.160049560e+03 6.061238357e+02 3.6e-04 0.46
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.074180708e+02 5.061543374e+02 2.9e-04 0.50
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.159485373e+02 3.800109880e+02 1.6e-04 0.53
15 1.8e-01 2.4e-01 9.9e+00 9.93e-01 -1.329966182e+02 2.580950489e+02 8.0e-05 0.56
16 7.9e-02 1.3e-01 4.5e+00 1.01e+00 2.194851969e+01 1.995883716e+02 3.7e-05 0.59
17 6.8e-02 1.1e-01 3.9e+00 1.02e+00 4.516599547e+01 1.977866343e+02 3.2e-05 0.62
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.183236306e+02 1.806140709e+02 1.3e-05 0.65
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.533665808e+02 1.714093766e+02 3.8e-06 0.69
20 2.9e-03 2.4e-01 1.7e-01 1.00e+00 1.613682904e+02 1.680689480e+02 1.4e-06 0.72
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635977258e+02 1.674592383e+02 8.2e-07 0.76
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656258670e+02 1.668059052e+02 2.6e-07 0.79
23 1.8e-04 1.1e-01 1.1e-02 1.01e+00 1.661712278e+02 1.666014805e+02 9.5e-08 0.82
24 8.3e-05 8.8e-02 5.3e-03 1.01e+00 1.663353091e+02 1.665344352e+02 4.4e-08 0.85
25 3.7e-05 8.0e-02 2.4e-03 1.01e+00 1.664121483e+02 1.665025010e+02 2.0e-08 0.89
26 3.4e-05 7.3e-02 2.2e-03 1.01e+00 1.664199948e+02 1.665013342e+02 1.8e-08 0.92
27 3.0e-05 6.6e-02 1.9e-03 1.01e+00 1.664255152e+02 1.664986928e+02 1.6e-08 0.95
28 2.7e-05 6.1e-02 1.7e-03 1.01e+00 1.664306052e+02 1.664964509e+02 1.5e-08 0.98
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664351597e+02 1.664944085e+02 1.3e-08 1.01
30 2.2e-05 5.1e-02 1.4e-03 1.01e+00 1.664392537e+02 1.664925678e+02 1.2e-08 1.04
31 2.0e-05 4.6e-02 1.3e-03 1.00e+00 1.664429311e+02 1.664909056e+02 1.1e-08 1.07
32 1.8e-05 4.2e-02 1.1e-03 1.00e+00 1.664462351e+02 1.664894056e+02 9.7e-09 1.10
33 1.6e-05 3.9e-02 1.0e-03 1.00e+00 1.664492039e+02 1.664880520e+02 8.7e-09 1.13
34 1.5e-05 3.6e-02 9.3e-04 1.00e+00 1.664518719e+02 1.664868308e+02 7.8e-09 1.16
35 1.3e-05 3.3e-02 8.3e-04 1.00e+00 1.664542698e+02 1.664857292e+02 7.1e-09 1.19
36 1.2e-05 3.0e-02 7.5e-04 1.00e+00 1.664564251e+02 1.664847357e+02 6.4e-09 1.22
37 1.1e-05 2.8e-02 6.8e-04 1.00e+00 1.664583626e+02 1.664838399e+02 5.7e-09 1.25
38 9.5e-06 2.6e-02 6.1e-04 1.00e+00 1.664601045e+02 1.664830322e+02 5.2e-09 1.28
39 8.6e-06 2.4e-02 5.5e-04 1.00e+00 1.664616707e+02 1.664823041e+02 4.6e-09 1.31
40 7.7e-06 2.3e-02 4.9e-04 1.00e+00 1.664630790e+02 1.664816479e+02 4.2e-09 1.34
41 6.9e-06 2.1e-02 4.4e-04 1.00e+00 1.664643455e+02 1.664810566e+02 3.8e-09 1.37
42 6.3e-06 2.0e-02 4.0e-04 1.00e+00 1.664654845e+02 1.664805238e+02 3.4e-09 1.40
43 5.6e-06 1.9e-02 3.6e-04 1.00e+00 1.664665090e+02 1.664800437e+02 3.0e-09 1.43
44 5.1e-06 1.7e-02 3.2e-04 1.00e+00 1.664674305e+02 1.664796113e+02 2.7e-09 1.46
45 4.6e-06 1.6e-02 2.9e-04 1.00e+00 1.664682594e+02 1.664792218e+02 2.5e-09 1.49
46 4.1e-06 1.6e-02 2.6e-04 1.00e+00 1.664690051e+02 1.664788709e+02 2.2e-09 1.52
47 3.7e-06 1.5e-02 2.4e-04 1.00e+00 1.664696759e+02 1.664785548e+02 2.0e-09 1.55
48 3.3e-06 1.4e-02 2.1e-04 1.00e+00 1.664702793e+02 1.664782701e+02 1.8e-09 1.58
49 3.0e-06 1.3e-02 1.9e-04 1.00e+00 1.664708221e+02 1.664780137e+02 1.6e-09 1.61
50 2.7e-06 1.3e-02 1.7e-04 1.00e+00 1.664713104e+02 1.664777828e+02 1.5e-09 1.64
51 2.4e-06 1.2e-02 1.5e-04 1.00e+00 1.664717498e+02 1.664775748e+02 1.3e-09 1.67
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664721451e+02 1.664773875e+02 1.2e-09 1.70
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664725009e+02 1.664772190e+02 1.1e-09 1.73
54 1.8e-06 1.1e-02 1.1e-04 1.00e+00 1.664728210e+02 1.664770673e+02 9.6e-10 1.77
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664731091e+02 1.664769307e+02 8.6e-10 1.80
56 1.4e-06 1.0e-02 9.1e-05 1.00e+00 1.664733684e+02 1.664768078e+02 7.7e-10 1.83
57 1.3e-06 1.0e-02 8.2e-05 1.00e+00 1.664736017e+02 1.664766972e+02 7.0e-10 1.86
58 1.2e-06 9.9e-03 7.4e-05 1.00e+00 1.664738117e+02 1.664765976e+02 6.3e-10 1.89
59 1.0e-06 9.6e-03 6.7e-05 1.00e+00 1.664740006e+02 1.664765079e+02 5.6e-10 1.92
60 9.4e-07 9.4e-03 6.0e-05 1.00e+00 1.664741707e+02 1.664764272e+02 5.1e-10 1.95
61 8.4e-07 9.3e-03 5.4e-05 1.00e+00 1.664743237e+02 1.664763546e+02 4.6e-10 1.98
62 7.6e-07 9.1e-03 4.9e-05 1.00e+00 1.664744614e+02 1.664762892e+02 4.1e-10 2.01
63 6.8e-07 8.9e-03 4.4e-05 1.00e+00 1.664745852e+02 1.664762303e+02 3.7e-10 2.04
64 6.2e-07 8.8e-03 3.9e-05 1.00e+00 1.664746967e+02 1.664761772e+02 3.3e-10 2.07
65 5.5e-07 8.7e-03 3.5e-05 1.00e+00 1.664747970e+02 1.664761294e+02 3.0e-10 2.10
66 5.0e-07 8.6e-03 3.2e-05 1.00e+00 1.664748872e+02 1.664760864e+02 2.7e-10 2.13
67 4.5e-07 8.5e-03 2.9e-05 1.00e+00 1.664749683e+02 1.664760476e+02 2.4e-10 2.16
68 4.0e-07 8.4e-03 2.6e-05 1.00e+00 1.664750413e+02 1.664760127e+02 2.2e-10 2.19
69 3.6e-07 8.3e-03 2.3e-05 1.00e+00 1.664751070e+02 1.664759812e+02 2.0e-10 2.22
70 3.3e-07 8.2e-03 2.1e-05 9.98e-01 1.664751660e+02 1.664759529e+02 1.8e-10 2.25
71 2.9e-07 8.2e-03 1.9e-05 1.00e+00 1.664752192e+02 1.664759274e+02 1.6e-10 2.28
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752670e+02 1.664759043e+02 1.4e-10 2.31
73 2.4e-07 8.1e-03 1.5e-05 1.00e+00 1.664753100e+02 1.664758836e+02 1.3e-10 2.34
74 2.1e-07 8.0e-03 1.4e-05 1.00e+00 1.664753487e+02 1.664758650e+02 1.2e-10 2.38
75 1.9e-07 8.0e-03 1.2e-05 9.99e-01 1.664753835e+02 1.664758482e+02 1.0e-10 2.41
76 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.664754148e+02 1.664758330e+02 9.4e-11 2.44
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754430e+02 1.664758194e+02 8.5e-11 2.47
78 1.4e-07 7.8e-03 9.0e-06 1.00e+00 1.664754684e+02 1.664758071e+02 7.6e-11 2.50
79 1.3e-07 7.8e-03 8.1e-06 9.99e-01 1.664754912e+02 1.664757960e+02 6.9e-11 2.53
80 1.1e-07 7.8e-03 7.3e-06 1.00e+00 1.664755118e+02 1.664757861e+02 6.2e-11 2.56
81 1.0e-07 7.8e-03 6.6e-06 1.00e+00 1.664755303e+02 1.664757771e+02 5.6e-11 2.59
82 9.2e-08 7.7e-03 5.9e-06 9.97e-01 1.664755469e+02 1.664757691e+02 5.0e-11 2.63
83 8.3e-08 7.7e-03 5.3e-06 9.99e-01 1.664755618e+02 1.664757619e+02 4.5e-11 2.66
84 7.5e-08 6.9e-03 4.8e-06 1.01e+00 1.664755755e+02 1.664757552e+02 4.1e-11 2.69
85 6.7e-08 6.2e-03 4.3e-06 1.00e+00 1.664755876e+02 1.664757493e+02 3.7e-11 2.72
86 6.1e-08 5.6e-03 3.9e-06 9.99e-01 1.664755985e+02 1.664757441e+02 3.3e-11 2.75
87 5.5e-08 5.0e-03 3.5e-06 1.00e+00 1.664756084e+02 1.664757393e+02 3.0e-11 2.78
88 4.9e-08 4.5e-03 3.1e-06 9.95e-01 1.664756172e+02 1.664757350e+02 2.7e-11 2.81
89 4.4e-08 4.1e-03 2.8e-06 1.01e+00 1.664756254e+02 1.664757310e+02 2.4e-11 2.84
90 4.0e-08 3.7e-03 2.5e-06 1.00e+00 1.664756326e+02 1.664757275e+02 2.2e-11 2.88
91 3.6e-08 3.3e-03 2.3e-06 1.01e+00 1.664756392e+02 1.664757243e+02 2.0e-11 2.91
92 3.2e-08 3.0e-03 2.1e-06 9.97e-01 1.664756450e+02 1.664757215e+02 1.8e-11 2.94
93 2.9e-08 2.7e-03 1.9e-06 1.00e+00 1.664756502e+02 1.664757189e+02 1.6e-11 2.97
94 2.6e-08 2.4e-03 1.7e-06 9.82e-01 1.664756548e+02 1.664757167e+02 1.4e-11 3.00
95 2.4e-08 2.2e-03 1.5e-06 1.00e+00 1.664756590e+02 1.664757147e+02 1.3e-11 3.03
96 2.1e-08 2.0e-03 1.4e-06 9.99e-01 1.664756628e+02 1.664757129e+02 1.2e-11 3.06
97 1.9e-08 1.8e-03 1.2e-06 9.86e-01 1.664756661e+02 1.664757113e+02 1.0e-11 3.09
98 1.7e-08 1.6e-03 1.1e-06 1.02e+00 1.664756694e+02 1.664757097e+02 9.5e-12 3.12
99 1.5e-08 1.4e-03 9.8e-07 1.01e+00 1.664756722e+02 1.664757083e+02 8.6e-12 3.15
100 1.4e-08 1.3e-03 8.9e-07 9.98e-01 1.664756747e+02 1.664757071e+02 7.7e-12 3.18
101 1.2e-08 1.2e-03 8.0e-07 9.67e-01 1.664756768e+02 1.664757061e+02 6.9e-12 3.21
102 1.1e-08 1.0e-03 7.2e-07 9.96e-01 1.664756788e+02 1.664757051e+02 6.2e-12 3.24
103 1.0e-08 9.4e-04 6.5e-07 9.72e-01 1.664756806e+02 1.664757043e+02 5.6e-12 3.27
104 9.1e-09 8.4e-04 5.8e-07 1.03e+00 1.664756824e+02 1.664757034e+02 5.1e-12 3.30
105 1.9e-09 1.0e-04 7.1e-08 1.04e+00 1.664756947e+02 1.664756972e+02 5.6e-13 3.33
Interior-point optimizer terminated. Time: 3.34.
Optimizer terminated. Time: 3.36
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569472e+02 Viol. con: 4e-08 var: 0e+00
Dual. obj: 1.6647569719e+02 Viol. con: 0e+00 var: 7e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.38 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 -1.280507083e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258771622e+05 3.574359665e+00 4.8e-01 0.12
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197602086e+05 1.017425645e+01 1.9e-01 0.15
3 2.9e+02 3.6e+02 1.6e+04 -8.40e-01 -1.150415151e+05 6.302667794e+01 1.2e-01 0.18
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124385249e+05 2.261511435e+03 1.2e-01 0.21
5 7.5e+01 9.6e+01 4.2e+03 -7.52e-01 -7.457726571e+04 9.579682959e+03 3.3e-02 0.24
6 3.0e+01 3.8e+01 1.7e+03 -1.97e-01 -4.046194978e+04 1.027494994e+04 1.3e-02 0.27
7 1.8e+01 2.3e+01 1.0e+03 3.92e-01 -2.694173355e+04 6.671786437e+03 7.9e-03 0.31
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.557332328e+04 3.882110033e+03 4.3e-03 0.34
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.391549009e+03 1.890778222e+03 1.7e-03 0.37
10 2.1e+00 2.6e+00 1.2e+02 9.41e-01 -3.269338902e+03 1.203686302e+03 9.2e-04 0.40
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.531728452e+03 7.332099060e+02 4.7e-04 0.43
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.183153890e+03 6.026765028e+02 3.6e-04 0.46
13 4.8e-01 6.1e-01 2.7e+01 9.74e-01 -6.439286501e+02 4.230718665e+02 2.2e-04 0.49
14 2.7e-01 3.5e-01 1.5e+01 1.00e+00 -2.812261511e+02 3.129612260e+02 1.2e-04 0.53
15 9.6e-02 1.5e-01 5.4e+00 1.00e+00 -7.783315317e+00 2.065095020e+02 4.4e-05 0.56
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.588791820e+01 2.085235854e+02 4.0e-05 0.59
17 5.7e-02 9.1e-02 3.3e+00 1.02e+00 6.584486140e+01 1.938299195e+02 2.7e-05 0.62
18 2.7e-02 7.0e-02 1.6e+00 1.02e+00 1.194014305e+02 1.796946097e+02 1.3e-05 0.64
19 7.7e-03 1.9e-01 4.5e-01 1.02e+00 1.539657959e+02 1.710725488e+02 3.6e-06 0.67
20 3.1e-03 2.3e-01 1.8e-01 1.01e+00 1.611159961e+02 1.680967525e+02 1.5e-06 0.71
21 1.8e-03 1.4e-01 1.1e-01 1.01e+00 1.633748107e+02 1.674649477e+02 8.7e-07 0.73
22 5.3e-04 1.3e-01 3.3e-02 1.01e+00 1.655448927e+02 1.667967077e+02 2.7e-07 0.76
23 3.8e-04 1.1e-01 2.4e-02 9.97e-01 1.658044019e+02 1.666959472e+02 1.9e-07 0.80
24 2.1e-04 7.7e-02 1.3e-02 9.85e-01 1.660854097e+02 1.665889119e+02 1.1e-07 0.82
25 1.8e-04 6.6e-02 1.1e-02 1.00e+00 1.661391609e+02 1.665725879e+02 9.5e-08 0.85
26 1.7e-04 6.0e-02 1.0e-02 1.01e+00 1.661713336e+02 1.665611559e+02 8.5e-08 0.88
27 1.5e-04 5.5e-02 9.2e-03 1.01e+00 1.661989183e+02 1.665496367e+02 7.7e-08 0.91
28 1.3e-04 5.0e-02 8.3e-03 1.01e+00 1.662238902e+02 1.665394618e+02 6.9e-08 0.93
29 1.2e-04 4.6e-02 7.5e-03 1.01e+00 1.662462565e+02 1.665302108e+02 6.2e-08 0.96
30 1.1e-04 4.2e-02 6.7e-03 1.01e+00 1.662663307e+02 1.665218404e+02 5.6e-08 1.00
31 9.8e-05 3.9e-02 6.1e-03 1.01e+00 1.662843433e+02 1.665142622e+02 5.0e-08 1.03
32 8.8e-05 3.5e-02 5.5e-03 1.01e+00 1.663005078e+02 1.665074025e+02 4.5e-08 1.06
33 7.9e-05 3.3e-02 4.9e-03 1.00e+00 1.663150142e+02 1.665011933e+02 4.1e-08 1.08
34 7.1e-05 3.0e-02 4.4e-03 1.00e+00 1.663280332e+02 1.664955734e+02 3.7e-08 1.12
35 6.4e-05 2.8e-02 4.0e-03 1.00e+00 1.663397182e+02 1.664904874e+02 3.3e-08 1.15
36 5.8e-05 2.6e-02 3.6e-03 1.00e+00 1.663502066e+02 1.664858853e+02 3.0e-08 1.19
37 5.2e-05 2.4e-02 3.2e-03 1.00e+00 1.663596219e+02 1.664817219e+02 2.7e-08 1.21
38 4.7e-05 2.2e-02 2.9e-03 1.00e+00 1.663680748e+02 1.664779562e+02 2.4e-08 1.24
39 4.2e-05 2.1e-02 2.6e-03 1.00e+00 1.663756645e+02 1.664745510e+02 2.2e-08 1.27
40 3.8e-05 2.0e-02 2.4e-03 1.00e+00 1.663824799e+02 1.664714723e+02 2.0e-08 1.30
41 3.4e-05 1.8e-02 2.1e-03 1.00e+00 1.663886005e+02 1.664686895e+02 1.8e-08 1.32
42 3.1e-05 1.7e-02 1.9e-03 1.00e+00 1.663940978e+02 1.664661745e+02 1.6e-08 1.35
43 2.8e-05 1.6e-02 1.7e-03 1.00e+00 1.663990355e+02 1.664639020e+02 1.4e-08 1.39
44 2.5e-05 1.5e-02 1.5e-03 1.00e+00 1.664034709e+02 1.664618488e+02 1.3e-08 1.42
45 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664074556e+02 1.664599941e+02 1.2e-08 1.45
46 2.0e-05 1.4e-02 1.3e-03 1.00e+00 1.664110354e+02 1.664583190e+02 1.0e-08 1.48
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664142518e+02 1.664568061e+02 9.4e-09 1.51
48 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664171418e+02 1.664554401e+02 8.4e-09 1.54
49 1.5e-05 1.2e-02 9.1e-04 1.00e+00 1.664197388e+02 1.664542068e+02 7.6e-09 1.58
50 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664220726e+02 1.664530934e+02 6.8e-09 1.61
51 1.2e-05 1.1e-02 7.4e-04 1.00e+00 1.664241699e+02 1.664520885e+02 6.2e-09 1.64
52 1.1e-05 1.1e-02 6.6e-04 1.00e+00 1.664260550e+02 1.664511816e+02 5.5e-09 1.67
53 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664277494e+02 1.664503632e+02 5.0e-09 1.70
54 8.7e-06 1.0e-02 5.4e-04 1.00e+00 1.664292725e+02 1.664496249e+02 4.5e-09 1.74
55 7.8e-06 1.0e-02 4.8e-04 1.00e+00 1.664306416e+02 1.664489588e+02 4.0e-09 1.77
56 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318725e+02 1.664483580e+02 3.6e-09 1.80
57 6.3e-06 9.8e-03 3.9e-04 1.00e+00 1.664329792e+02 1.664478162e+02 3.3e-09 1.83
58 5.7e-06 9.6e-03 3.5e-04 1.00e+00 1.664339742e+02 1.664473276e+02 2.9e-09 1.86
59 5.1e-06 9.4e-03 3.2e-04 1.00e+00 1.664348688e+02 1.664468870e+02 2.7e-09 1.89
60 4.6e-06 9.3e-03 2.9e-04 1.00e+00 1.664356733e+02 1.664464897e+02 2.4e-09 1.92
61 4.1e-06 9.1e-03 2.6e-04 1.00e+00 1.664363967e+02 1.664461315e+02 2.1e-09 1.95
62 3.7e-06 9.0e-03 2.3e-04 1.00e+00 1.664370471e+02 1.664458085e+02 1.9e-09 1.98
63 3.4e-06 8.9e-03 2.1e-04 1.00e+00 1.664376320e+02 1.664455174e+02 1.7e-09 2.01
64 3.0e-06 8.8e-03 1.9e-04 1.00e+00 1.664381580e+02 1.664452549e+02 1.6e-09 2.04
65 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386310e+02 1.664450182e+02 1.4e-09 2.07
66 2.4e-06 8.6e-03 1.5e-04 1.00e+00 1.664390564e+02 1.664448050e+02 1.3e-09 2.09
67 2.2e-06 8.5e-03 1.4e-04 1.00e+00 1.664394391e+02 1.664446129e+02 1.1e-09 2.12
68 2.0e-06 8.4e-03 1.2e-04 1.00e+00 1.664397833e+02 1.664444397e+02 1.0e-09 2.15
69 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400930e+02 1.664442838e+02 9.2e-10 2.18
70 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403716e+02 1.664441434e+02 8.3e-10 2.21
71 1.4e-06 8.2e-03 9.0e-05 1.00e+00 1.664406223e+02 1.664440169e+02 7.5e-10 2.23
72 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408477e+02 1.664439030e+02 6.7e-10 2.26
73 1.2e-06 8.1e-03 7.3e-05 1.00e+00 1.664410506e+02 1.664438004e+02 6.1e-10 2.30
74 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412331e+02 1.664437079e+02 5.5e-10 2.33
75 9.5e-07 8.0e-03 5.9e-05 1.00e+00 1.664413973e+02 1.664436247e+02 4.9e-10 2.36
76 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415450e+02 1.664435497e+02 4.4e-10 2.39
77 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416779e+02 1.664434821e+02 4.0e-10 2.42
78 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417975e+02 1.664434213e+02 3.6e-10 2.46
79 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419050e+02 1.664433665e+02 3.2e-10 2.49
80 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664420018e+02 1.664433171e+02 2.9e-10 2.52
81 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420888e+02 1.664432726e+02 2.6e-10 2.55
82 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421671e+02 1.664432325e+02 2.4e-10 2.58
83 4.1e-07 7.8e-03 2.5e-05 1.00e+00 1.664422375e+02 1.664431964e+02 2.1e-10 2.61
84 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664423009e+02 1.664431639e+02 1.9e-10 2.65
85 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423579e+02 1.664431347e+02 1.7e-10 2.68
86 3.0e-07 7.7e-03 1.9e-05 9.99e-01 1.664424092e+02 1.664431083e+02 1.5e-10 2.71
87 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424554e+02 1.664430845e+02 1.4e-10 2.74
88 2.4e-07 7.7e-03 1.5e-05 9.99e-01 1.664424969e+02 1.664430632e+02 1.3e-10 2.78
89 2.2e-07 7.7e-03 1.3e-05 1.00e+00 1.664425343e+02 1.664430439e+02 1.1e-10 2.81
90 2.0e-07 7.6e-03 1.2e-05 9.99e-01 1.664425679e+02 1.664430266e+02 1.0e-10 2.84
91 1.8e-07 7.6e-03 1.1e-05 9.99e-01 1.664425982e+02 1.664430111e+02 9.1e-11 2.87
92 1.6e-07 7.6e-03 9.8e-06 1.00e+00 1.664426255e+02 1.664429970e+02 8.2e-11 2.90
93 1.4e-07 7.6e-03 8.9e-06 9.99e-01 1.664426500e+02 1.664429844e+02 7.4e-11 2.94
94 1.3e-07 7.6e-03 8.0e-06 1.00e+00 1.664426721e+02 1.664429731e+02 6.6e-11 2.97
95 1.2e-07 7.6e-03 7.2e-06 9.99e-01 1.664426919e+02 1.664429628e+02 6.0e-11 3.01
96 1.0e-07 7.6e-03 6.5e-06 1.00e+00 1.664427098e+02 1.664429536e+02 5.4e-11 3.03
97 9.3e-08 7.5e-03 5.8e-06 9.99e-01 1.664427259e+02 1.664429453e+02 4.8e-11 3.06
98 8.4e-08 7.5e-03 5.2e-06 9.91e-01 1.664427404e+02 1.664429380e+02 4.4e-11 3.10
99 7.6e-08 7.5e-03 4.7e-06 9.98e-01 1.664427534e+02 1.664429313e+02 3.9e-11 3.13
100 6.8e-08 7.5e-03 4.2e-06 1.00e+00 1.664427652e+02 1.664429252e+02 3.5e-11 3.16
101 6.1e-08 7.5e-03 3.8e-06 9.98e-01 1.664427757e+02 1.664429198e+02 3.2e-11 3.19
102 5.5e-08 7.5e-03 3.4e-06 9.96e-01 1.664427852e+02 1.664429149e+02 2.9e-11 3.21
103 5.0e-08 6.7e-03 3.1e-06 1.00e+00 1.664427938e+02 1.664429105e+02 2.6e-11 3.24
104 4.5e-08 6.0e-03 2.8e-06 9.93e-01 1.664428015e+02 1.664429066e+02 2.3e-11 3.27
105 4.0e-08 5.4e-03 2.5e-06 9.92e-01 1.664428084e+02 1.664429030e+02 2.1e-11 3.30
106 3.6e-08 4.9e-03 2.3e-06 9.95e-01 1.664428147e+02 1.664428998e+02 1.9e-11 3.34
107 3.3e-08 4.4e-03 2.0e-06 1.02e+00 1.664428206e+02 1.664428967e+02 1.7e-11 3.36
108 2.9e-08 4.0e-03 1.8e-06 1.02e+00 1.664428260e+02 1.664428939e+02 1.5e-11 3.39
109 2.6e-08 3.6e-03 1.6e-06 1.01e+00 1.664428305e+02 1.664428915e+02 1.4e-11 3.42
110 2.4e-08 3.2e-03 1.5e-06 9.94e-01 1.664428345e+02 1.664428895e+02 1.3e-11 3.45
111 2.1e-08 2.9e-03 1.3e-06 9.84e-01 1.664428382e+02 1.664428876e+02 1.1e-11 3.48
112 1.9e-08 2.6e-03 1.2e-06 1.03e+00 1.664428418e+02 1.664428857e+02 1.0e-11 3.51
113 1.7e-08 2.3e-03 1.1e-06 1.03e+00 1.664428451e+02 1.664428840e+02 9.4e-12 3.54
114 1.6e-08 2.1e-03 9.7e-07 1.01e+00 1.664428477e+02 1.664428827e+02 8.4e-12 3.57
115 1.4e-08 1.9e-03 8.7e-07 1.05e+00 1.664428505e+02 1.664428811e+02 7.8e-12 3.60
116 1.3e-08 1.7e-03 7.8e-07 1.02e+00 1.664428527e+02 1.664428800e+02 7.0e-12 3.62
117 1.1e-08 1.5e-03 7.1e-07 1.02e+00 1.664428547e+02 1.664428790e+02 6.4e-12 3.65
118 1.0e-08 1.4e-03 6.4e-07 9.96e-01 1.664428563e+02 1.664428782e+02 5.8e-12 3.68
119 1.0e-08 1.2e-03 5.7e-07 1.09e+00 1.664428584e+02 1.664428770e+02 5.4e-12 3.73
120 8.9e-09 1.1e-03 5.1e-07 8.05e-01 1.664428596e+02 1.664428764e+02 4.9e-12 3.76
121 1.2e-08 1.0e-03 4.6e-07 1.04e+00 1.664428610e+02 1.664428756e+02 4.5e-12 3.80
122 1.1e-08 9.1e-04 4.2e-07 8.40e-01 1.664428620e+02 1.664428751e+02 4.0e-12 3.83
123 9.0e-09 8.2e-04 3.8e-07 7.80e-01 1.664428628e+02 1.664428748e+02 3.6e-12 3.85
124 8.2e-09 7.3e-04 3.4e-07 6.29e-01 1.664428636e+02 1.664428744e+02 3.3e-12 3.88
125 7.2e-09 6.6e-04 3.0e-07 8.76e-01 1.664428643e+02 1.664428741e+02 2.9e-12 3.91
126 5.4e-09 6.0e-04 2.7e-07 2.85e+00 1.664428648e+02 1.664428743e+02 2.6e-12 3.94
127 8.0e-09 5.4e-04 2.5e-07 9.94e-01 1.664428654e+02 1.664428739e+02 2.4e-12 3.98
128 7.1e-09 4.8e-04 2.2e-07 7.87e-01 1.664428660e+02 1.664428736e+02 2.1e-12 4.01
129 6.3e-09 4.3e-04 2.0e-07 1.46e+00 1.664428664e+02 1.664428733e+02 1.9e-12 4.05
130 2.1e-08 3.9e-04 1.8e-07 1.15e+00 1.664428672e+02 1.664428727e+02 1.9e-12 4.09
131 1.9e-08 3.5e-04 1.6e-07 9.19e-01 1.664428676e+02 1.664428725e+02 1.7e-12 4.12
132 2.3e-08 3.2e-04 1.5e-07 1.04e+00 1.664428679e+02 1.664428723e+02 1.5e-12 4.15
133 2.3e-08 2.8e-04 1.3e-07 1.06e+00 1.664428683e+02 1.664428721e+02 1.4e-12 4.19
134 2.1e-08 2.6e-04 1.2e-07 6.71e-01 1.664428686e+02 1.664428720e+02 1.3e-12 4.22
135 1.7e-08 2.3e-04 1.1e-07 7.26e-01 1.664428688e+02 1.664428719e+02 1.1e-12 4.26
136 1.5e-08 2.1e-04 9.5e-08 4.98e-01 1.664428690e+02 1.664428718e+02 1.0e-12 4.28
137 1.2e-08 1.9e-04 8.6e-08 5.46e-01 1.664428691e+02 1.664428718e+02 9.3e-13 4.31
Interior-point optimizer terminated. Time: 4.32.
Optimizer terminated. Time: 4.35
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286914e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6644287177e+02 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.37 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 : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.06 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
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 -1.280489606e+05 2.000000000e+00 1.0e+00 0.10
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258746552e+05 3.573540114e+00 4.8e-01 0.16
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197249890e+05 1.020037957e+01 1.9e-01 0.20
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150061496e+05 6.350224060e+01 1.2e-01 0.23
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124090523e+05 2.256512785e+03 1.2e-01 0.26
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.445987456e+04 9.583446166e+03 3.3e-02 0.29
6 3.0e+01 3.8e+01 1.7e+03 -1.95e-01 -4.029027845e+04 1.021238999e+04 1.3e-02 0.32
7 1.8e+01 2.3e+01 9.9e+02 3.95e-01 -2.693740472e+04 6.641946749e+03 7.9e-03 0.34
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.531773911e+04 3.830149473e+03 4.2e-03 0.37
9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.905085566e+03 1.796550125e+03 1.6e-03 0.40
10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.113265841e+03 1.193544707e+03 8.9e-04 0.44
11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.224280780e+03 6.160606911e+02 3.8e-04 0.46
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.207776150e+03 5.913544939e+02 3.7e-04 0.50
13 5.1e-01 6.6e-01 2.8e+01 9.72e-01 -7.035531975e+02 4.268389777e+02 2.3e-04 0.53
14 3.1e-01 4.1e-01 1.7e+01 1.00e+00 -3.505613899e+02 3.411790015e+02 1.4e-04 0.56
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.684098565e+01 2.143789590e+02 5.0e-05 0.59
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.198088561e+01 2.045208221e+02 3.8e-05 0.62
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.511479518e+01 1.869505109e+02 1.9e-05 0.65
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425334445e+02 1.741984092e+02 6.7e-06 0.68
19 6.3e-03 7.2e-02 3.6e-01 1.01e+00 1.556756896e+02 1.695984336e+02 2.9e-06 0.71
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638772080e+02 1.673909122e+02 7.5e-07 0.74
21 8.1e-04 1.1e-01 5.0e-02 9.78e-01 1.650493401e+02 1.669445356e+02 4.1e-07 0.78
22 2.5e-04 1.1e-01 1.6e-02 9.89e-01 1.659982700e+02 1.666009589e+02 1.3e-07 0.81
23 1.2e-04 8.9e-02 7.5e-03 1.01e+00 1.662206798e+02 1.665064683e+02 6.3e-08 0.84
24 4.6e-05 8.6e-02 3.1e-03 1.01e+00 1.663410273e+02 1.664565508e+02 2.6e-08 0.88
25 2.1e-05 7.8e-02 1.4e-03 1.01e+00 1.663845482e+02 1.664382023e+02 1.2e-08 0.91
26 1.9e-05 7.1e-02 1.3e-03 1.00e+00 1.663890612e+02 1.664373779e+02 1.1e-08 0.95
27 1.7e-05 6.5e-02 1.2e-03 1.01e+00 1.663923378e+02 1.664358102e+02 9.7e-09 0.98
28 1.6e-05 5.9e-02 1.0e-03 1.00e+00 1.663953461e+02 1.664344646e+02 8.8e-09 1.02
29 1.4e-05 5.4e-02 9.3e-04 1.00e+00 1.663980385e+02 1.664332390e+02 7.9e-09 1.05
30 1.3e-05 5.0e-02 8.4e-04 1.00e+00 1.664004596e+02 1.664321351e+02 7.1e-09 1.08
31 1.1e-05 4.5e-02 7.6e-04 1.00e+00 1.664026350e+02 1.664311390e+02 6.4e-09 1.11
32 1.0e-05 4.2e-02 6.8e-04 1.00e+00 1.664045902e+02 1.664302404e+02 5.8e-09 1.15
33 9.2e-06 3.8e-02 6.1e-04 1.00e+00 1.664063475e+02 1.664294301e+02 5.2e-09 1.18
34 8.3e-06 3.5e-02 5.5e-04 1.00e+00 1.664079271e+02 1.664286992e+02 4.7e-09 1.22
35 7.5e-06 3.3e-02 5.0e-04 1.00e+00 1.664093471e+02 1.664280403e+02 4.2e-09 1.25
36 6.7e-06 3.0e-02 4.5e-04 1.00e+00 1.664106237e+02 1.664274461e+02 3.8e-09 1.28
37 6.1e-06 2.8e-02 4.0e-04 1.00e+00 1.664117714e+02 1.664269105e+02 3.4e-09 1.31
38 5.5e-06 2.6e-02 3.6e-04 1.00e+00 1.664128034e+02 1.664264276e+02 3.1e-09 1.34
39 4.9e-06 2.4e-02 3.3e-04 1.00e+00 1.664137313e+02 1.664259924e+02 2.8e-09 1.37
40 4.4e-06 2.2e-02 2.9e-04 1.00e+00 1.664145657e+02 1.664256002e+02 2.5e-09 1.41
41 4.0e-06 2.1e-02 2.6e-04 1.00e+00 1.664153161e+02 1.664252466e+02 2.2e-09 1.45
42 3.6e-06 2.0e-02 2.4e-04 1.00e+00 1.664159908e+02 1.664249279e+02 2.0e-09 1.48
43 3.2e-06 1.8e-02 2.1e-04 1.00e+00 1.664165976e+02 1.664246407e+02 1.8e-09 1.51
44 2.9e-06 1.7e-02 1.9e-04 1.00e+00 1.664171433e+02 1.664243819e+02 1.6e-09 1.54
45 2.6e-06 1.6e-02 1.7e-04 1.00e+00 1.664176341e+02 1.664241486e+02 1.5e-09 1.57
46 2.3e-06 1.6e-02 1.6e-04 1.00e+00 1.664180756e+02 1.664239384e+02 1.3e-09 1.61
47 2.1e-06 1.5e-02 1.4e-04 1.00e+00 1.664184727e+02 1.664237492e+02 1.2e-09 1.64
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664188299e+02 1.664235787e+02 1.1e-09 1.67
49 1.7e-06 1.3e-02 1.1e-04 1.00e+00 1.664191513e+02 1.664234251e+02 9.6e-10 1.71
50 1.5e-06 1.3e-02 1.0e-04 1.00e+00 1.664194405e+02 1.664232868e+02 8.6e-10 1.74
51 1.4e-06 1.2e-02 9.2e-05 1.00e+00 1.664197006e+02 1.664231623e+02 7.8e-10 1.77
52 1.2e-06 1.2e-02 8.3e-05 1.00e+00 1.664199346e+02 1.664230502e+02 7.0e-10 1.81
53 1.1e-06 1.1e-02 7.4e-05 1.00e+00 1.664201452e+02 1.664229492e+02 6.3e-10 1.84
54 1.0e-06 1.1e-02 6.7e-05 1.00e+00 1.664203346e+02 1.664228583e+02 5.7e-10 1.88
55 9.1e-07 1.1e-02 6.0e-05 1.00e+00 1.664205051e+02 1.664227764e+02 5.1e-10 1.91
56 8.2e-07 1.0e-02 5.4e-05 1.00e+00 1.664206584e+02 1.664227026e+02 4.6e-10 1.94
57 7.4e-07 1.0e-02 4.9e-05 1.00e+00 1.664207964e+02 1.664226362e+02 4.1e-10 1.97
58 6.6e-07 9.9e-03 4.4e-05 1.00e+00 1.664209205e+02 1.664225763e+02 3.7e-10 2.01
59 6.0e-07 9.7e-03 4.0e-05 1.00e+00 1.664210322e+02 1.664225224e+02 3.4e-10 2.04
60 5.4e-07 9.5e-03 3.6e-05 1.00e+00 1.664211326e+02 1.664224738e+02 3.0e-10 2.07
61 4.8e-07 9.3e-03 3.2e-05 1.00e+00 1.664212230e+02 1.664224301e+02 2.7e-10 2.10
62 4.4e-07 9.1e-03 2.9e-05 1.00e+00 1.664213042e+02 1.664223906e+02 2.4e-10 2.14
63 3.9e-07 9.0e-03 2.6e-05 1.00e+00 1.664213773e+02 1.664223551e+02 2.2e-10 2.17
64 3.5e-07 8.9e-03 2.3e-05 1.00e+00 1.664214431e+02 1.664223231e+02 2.0e-10 2.20
65 3.2e-07 8.7e-03 2.1e-05 9.98e-01 1.664215023e+02 1.664222943e+02 1.8e-10 2.23
66 2.9e-07 8.6e-03 1.9e-05 1.00e+00 1.664215555e+02 1.664222684e+02 1.6e-10 2.27
67 2.6e-07 8.5e-03 1.7e-05 1.00e+00 1.664216034e+02 1.664222450e+02 1.4e-10 2.30
68 2.3e-07 8.4e-03 1.5e-05 9.99e-01 1.664216465e+02 1.664222239e+02 1.3e-10 2.33
69 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664216853e+02 1.664222050e+02 1.2e-10 2.37
70 1.9e-07 8.3e-03 1.2e-05 9.98e-01 1.664217202e+02 1.664221879e+02 1.1e-10 2.40
71 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217516e+02 1.664221725e+02 9.5e-11 2.43
72 1.5e-07 8.1e-03 1.0e-05 1.00e+00 1.664217799e+02 1.664221587e+02 8.5e-11 2.46
73 1.4e-07 8.1e-03 9.1e-06 9.99e-01 1.664218053e+02 1.664221462e+02 7.7e-11 2.50
74 1.2e-07 8.0e-03 8.1e-06 9.98e-01 1.664218282e+02 1.664221351e+02 6.9e-11 2.53
75 1.1e-07 8.0e-03 7.3e-06 1.00e+00 1.664218488e+02 1.664221250e+02 6.2e-11 2.56
76 1.0e-07 7.9e-03 6.6e-06 1.00e+00 1.664218673e+02 1.664221159e+02 5.6e-11 2.59
77 9.0e-08 7.9e-03 5.9e-06 9.96e-01 1.664218840e+02 1.664221077e+02 5.0e-11 2.63
78 8.1e-08 7.8e-03 5.3e-06 9.94e-01 1.664218990e+02 1.664221004e+02 4.5e-11 2.66
79 7.3e-08 7.8e-03 4.8e-06 9.92e-01 1.664219125e+02 1.664220938e+02 4.1e-11 2.69
80 6.5e-08 7.8e-03 4.3e-06 9.98e-01 1.664219246e+02 1.664220879e+02 3.7e-11 2.72
81 5.9e-08 7.7e-03 3.9e-06 9.95e-01 1.664219356e+02 1.664220825e+02 3.3e-11 2.75
82 5.3e-08 7.7e-03 3.5e-06 9.96e-01 1.664219454e+02 1.664220777e+02 3.0e-11 2.79
83 4.8e-08 7.7e-03 3.2e-06 1.00e+00 1.664219543e+02 1.664220733e+02 2.7e-11 2.82
84 4.3e-08 7.6e-03 2.8e-06 1.00e+00 1.664219622e+02 1.664220694e+02 2.4e-11 2.85
85 3.9e-08 7.6e-03 2.6e-06 9.98e-01 1.664219694e+02 1.664220659e+02 2.2e-11 2.88
86 3.5e-08 7.6e-03 2.3e-06 1.00e+00 1.664219759e+02 1.664220627e+02 2.0e-11 2.91
87 3.1e-08 6.9e-03 2.1e-06 1.01e+00 1.664219819e+02 1.664220597e+02 1.8e-11 2.95
88 2.8e-08 6.2e-03 1.9e-06 1.00e+00 1.664219872e+02 1.664220571e+02 1.6e-11 2.98
89 2.5e-08 5.5e-03 1.7e-06 1.00e+00 1.664219919e+02 1.664220548e+02 1.4e-11 3.01
90 2.3e-08 5.0e-03 1.5e-06 1.02e+00 1.664219965e+02 1.664220525e+02 1.3e-11 3.04
91 2.1e-08 4.5e-03 1.4e-06 9.84e-01 1.664220002e+02 1.664220507e+02 1.2e-11 3.07
92 1.8e-08 4.0e-03 1.2e-06 1.01e+00 1.664220037e+02 1.664220489e+02 1.1e-11 3.11
93 1.7e-08 3.6e-03 1.1e-06 9.76e-01 1.664220067e+02 1.664220475e+02 9.5e-12 3.14
94 1.5e-08 3.3e-03 9.9e-07 9.78e-01 1.664220095e+02 1.664220462e+02 8.6e-12 3.17
95 1.3e-08 2.9e-03 8.9e-07 9.93e-01 1.664220119e+02 1.664220450e+02 7.7e-12 3.20
96 1.2e-08 2.7e-03 8.0e-07 1.03e+00 1.664220145e+02 1.664220437e+02 7.0e-12 3.23
97 1.1e-08 2.4e-03 7.2e-07 1.04e+00 1.664220167e+02 1.664220425e+02 6.4e-12 3.26
98 9.8e-09 2.1e-03 6.5e-07 1.01e+00 1.664220186e+02 1.664220416e+02 5.8e-12 3.29
99 8.9e-09 1.9e-03 5.8e-07 1.03e+00 1.664220203e+02 1.664220407e+02 5.3e-12 3.32
100 8.0e-09 1.7e-03 5.3e-07 1.03e+00 1.664220219e+02 1.664220399e+02 4.9e-12 3.35
101 7.2e-09 1.6e-03 4.7e-07 1.06e+00 1.664220235e+02 1.664220391e+02 4.5e-12 3.38
102 6.6e-09 1.4e-03 4.3e-07 1.06e+00 1.664220248e+02 1.664220385e+02 4.2e-12 3.41
103 5.9e-09 1.3e-03 3.8e-07 9.54e-01 1.664220257e+02 1.664220380e+02 3.8e-12 3.44
104 5.3e-09 1.1e-03 3.5e-07 9.81e-01 1.664220265e+02 1.664220377e+02 3.4e-12 3.47
105 5.0e-09 1.0e-03 3.1e-07 1.11e+00 1.664220277e+02 1.664220370e+02 3.2e-12 3.50
106 4.6e-09 9.3e-04 2.8e-07 1.09e+00 1.664220286e+02 1.664220366e+02 3.0e-12 3.53
107 3.5e-09 5.5e-05 1.7e-08 8.85e-01 1.664220339e+02 1.664220344e+02 3.3e-13 3.57
Interior-point optimizer terminated. Time: 3.57.
Optimizer terminated. Time: 3.60
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203386e+02 Viol. con: 7e-08 var: 0e+00
Dual. obj: 1.6642203437e+02 Viol. con: 0e+00 var: 3e-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: 0.03
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 : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.08 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 -1.280480916e+05 2.000000000e+00 1.0e+00 0.11
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258735655e+05 3.573328947e+00 4.8e-01 0.39
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197005176e+05 1.021704852e+01 1.9e-01 0.42
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.149813369e+05 6.382281222e+01 1.2e-01 0.46
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.123855388e+05 2.255174079e+03 1.2e-01 0.49
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.423601486e+04 9.613741164e+03 3.3e-02 0.52
6 3.0e+01 3.8e+01 1.6e+03 -1.92e-01 -4.018137350e+04 1.017431267e+04 1.3e-02 0.56
7 1.8e+01 2.3e+01 9.9e+02 3.96e-01 -2.694060553e+04 6.639021538e+03 7.9e-03 0.59
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.520626947e+04 3.808637516e+03 4.1e-03 0.62
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.318865987e+03 1.679779631e+03 1.4e-03 0.66
10 1.6e+00 2.0e+00 8.9e+01 9.54e-01 -2.417663280e+03 1.055149951e+03 7.1e-04 0.69
11 9.5e-01 1.2e+00 5.3e+01 9.86e-01 -1.370550711e+03 7.033873135e+02 4.2e-04 0.72
12 8.6e-01 1.1e+00 4.8e+01 9.64e-01 -1.258994134e+03 6.421007512e+02 3.8e-04 0.75
13 4.8e-01 6.1e-01 2.7e+01 9.77e-01 -6.393570522e+02 4.225783254e+02 2.1e-04 0.79
14 2.6e-01 3.4e-01 1.4e+01 1.00e+00 -2.623842314e+02 3.061907618e+02 1.2e-04 0.82
15 9.2e-02 1.5e-01 5.3e+00 1.00e+00 -2.393526973e+00 2.056343331e+02 4.3e-05 0.85
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.576534827e+01 2.083366605e+02 4.0e-05 0.88
17 6.0e-02 9.5e-02 3.4e+00 1.02e+00 6.107180575e+01 1.952044088e+02 2.8e-05 0.91
18 3.4e-02 7.3e-02 1.9e+00 1.02e+00 1.081914980e+02 1.827216386e+02 1.6e-05 0.95
19 9.3e-03 1.7e-01 5.4e-01 1.02e+00 1.512031491e+02 1.719127858e+02 4.3e-06 0.98
20 3.4e-03 2.1e-01 2.0e-01 1.01e+00 1.605108075e+02 1.682875921e+02 1.7e-06 1.01
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642779431e+02 1.671863585e+02 6.2e-07 1.05
22 8.5e-04 1.0e-01 5.1e-02 9.84e-01 1.649813588e+02 1.669397455e+02 4.2e-07 1.08
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659710770e+02 1.665859669e+02 1.3e-07 1.11
24 9.4e-05 1.0e-01 6.0e-03 1.01e+00 1.662464770e+02 1.664756792e+02 5.1e-08 1.14
25 3.7e-05 9.6e-02 2.4e-03 1.01e+00 1.663445764e+02 1.664349665e+02 2.0e-08 1.17
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663787299e+02 1.664205999e+02 9.5e-09 1.21
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663822231e+02 1.664199215e+02 8.5e-09 1.24
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663847897e+02 1.664187110e+02 7.7e-09 1.27
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663871433e+02 1.664176671e+02 6.9e-09 1.30
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663892515e+02 1.664167186e+02 6.2e-09 1.33
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663911474e+02 1.664158643e+02 5.6e-09 1.37
32 9.0e-06 4.7e-02 5.9e-04 1.00e+00 1.663928515e+02 1.664150937e+02 5.0e-09 1.40
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663943834e+02 1.664143991e+02 4.5e-09 1.43
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663957607e+02 1.664137728e+02 4.1e-09 1.46
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969990e+02 1.664132084e+02 3.7e-09 1.49
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663981125e+02 1.664126996e+02 3.3e-09 1.51
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663991137e+02 1.664122411e+02 3.0e-09 1.54
38 4.8e-06 2.9e-02 3.1e-04 1.00e+00 1.664000141e+02 1.664118279e+02 2.7e-09 1.58
39 4.3e-06 2.7e-02 2.8e-04 1.00e+00 1.664008238e+02 1.664114555e+02 2.4e-09 1.61
40 3.9e-06 2.5e-02 2.5e-04 1.00e+00 1.664015520e+02 1.664111199e+02 2.2e-09 1.64
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664022068e+02 1.664108175e+02 2.0e-09 1.67
42 3.1e-06 2.1e-02 2.1e-04 1.00e+00 1.664027957e+02 1.664105450e+02 1.8e-09 1.70
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664033253e+02 1.664102994e+02 1.6e-09 1.74
44 2.5e-06 1.9e-02 1.7e-04 1.00e+00 1.664038017e+02 1.664100782e+02 1.4e-09 1.77
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042303e+02 1.664098789e+02 1.3e-09 1.81
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664046158e+02 1.664096994e+02 1.2e-09 1.84
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049626e+02 1.664095377e+02 1.0e-09 1.88
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052746e+02 1.664093922e+02 9.3e-10 1.90
49 1.5e-06 1.4e-02 9.8e-05 1.00e+00 1.664055554e+02 1.664092611e+02 8.4e-10 1.94
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664058080e+02 1.664091430e+02 7.6e-10 1.97
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060352e+02 1.664090367e+02 6.8e-10 2.00
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062397e+02 1.664089410e+02 6.1e-10 2.03
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064236e+02 1.664088548e+02 5.5e-10 2.06
54 8.9e-07 1.2e-02 5.8e-05 1.00e+00 1.664065891e+02 1.664087772e+02 5.0e-10 2.09
55 8.0e-07 1.1e-02 5.2e-05 1.00e+00 1.664067380e+02 1.664087072e+02 4.5e-10 2.12
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068720e+02 1.664086443e+02 4.0e-10 2.15
57 6.5e-07 1.0e-02 4.2e-05 1.00e+00 1.664069925e+02 1.664085876e+02 3.6e-10 2.18
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664071009e+02 1.664085364e+02 3.3e-10 2.21
59 5.2e-07 9.9e-03 3.4e-05 1.00e+00 1.664071985e+02 1.664084904e+02 2.9e-10 2.24
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072862e+02 1.664084490e+02 2.6e-10 2.28
61 4.2e-07 9.5e-03 2.8e-05 1.00e+00 1.664073651e+02 1.664084116e+02 2.4e-10 2.31
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074361e+02 1.664083779e+02 2.1e-10 2.34
63 3.4e-07 9.1e-03 2.3e-05 1.00e+00 1.664074999e+02 1.664083476e+02 1.9e-10 2.37
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075574e+02 1.664083203e+02 1.7e-10 2.40
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076091e+02 1.664082956e+02 1.6e-10 2.43
66 2.5e-07 8.7e-03 1.6e-05 1.00e+00 1.664076556e+02 1.664082734e+02 1.4e-10 2.46
67 2.3e-07 8.6e-03 1.5e-05 9.99e-01 1.664076974e+02 1.664082535e+02 1.3e-10 2.50
68 2.0e-07 8.5e-03 1.3e-05 1.00e+00 1.664077350e+02 1.664082355e+02 1.1e-10 2.53
69 1.8e-07 8.4e-03 1.2e-05 9.99e-01 1.664077689e+02 1.664082194e+02 1.0e-10 2.56
70 1.6e-07 8.3e-03 1.1e-05 1.00e+00 1.664077994e+02 1.664082048e+02 9.2e-11 2.59
71 1.5e-07 8.2e-03 9.7e-06 1.00e+00 1.664078268e+02 1.664081917e+02 8.3e-11 2.62
72 1.3e-07 8.2e-03 8.7e-06 1.00e+00 1.664078515e+02 1.664081799e+02 7.5e-11 2.65
73 1.2e-07 8.1e-03 7.9e-06 1.00e+00 1.664078738e+02 1.664081692e+02 6.7e-11 2.69
74 1.1e-07 8.1e-03 7.1e-06 1.00e+00 1.664078938e+02 1.664081596e+02 6.0e-11 2.72
75 9.7e-08 8.0e-03 6.4e-06 1.00e+00 1.664079117e+02 1.664081510e+02 5.4e-11 2.75
76 8.7e-08 7.9e-03 5.7e-06 1.00e+00 1.664079279e+02 1.664081433e+02 4.9e-11 2.78
77 7.9e-08 7.9e-03 5.2e-06 1.00e+00 1.664079425e+02 1.664081363e+02 4.4e-11 2.81
78 7.1e-08 7.9e-03 4.6e-06 1.00e+00 1.664079556e+02 1.664081300e+02 4.0e-11 2.85
79 6.4e-08 7.8e-03 4.2e-06 9.97e-01 1.664079674e+02 1.664081244e+02 3.6e-11 2.88
80 5.7e-08 7.8e-03 3.8e-06 9.98e-01 1.664079780e+02 1.664081193e+02 3.2e-11 2.91
81 5.2e-08 7.7e-03 3.4e-06 9.94e-01 1.664079875e+02 1.664081147e+02 2.9e-11 2.94
82 4.6e-08 7.7e-03 3.0e-06 1.00e+00 1.664079961e+02 1.664081106e+02 2.6e-11 2.97
83 4.2e-08 7.7e-03 2.7e-06 1.00e+00 1.664080039e+02 1.664081069e+02 2.3e-11 3.00
84 3.8e-08 7.7e-03 2.5e-06 9.91e-01 1.664080108e+02 1.664081036e+02 2.1e-11 3.03
85 3.4e-08 6.9e-03 2.2e-06 1.00e+00 1.664080171e+02 1.664081005e+02 1.9e-11 3.06
86 3.0e-08 6.2e-03 2.0e-06 9.85e-01 1.664080228e+02 1.664080979e+02 1.7e-11 3.10
87 2.7e-08 5.6e-03 1.8e-06 1.02e+00 1.664080282e+02 1.664080952e+02 1.5e-11 3.13
88 2.5e-08 5.0e-03 1.6e-06 1.02e+00 1.664080330e+02 1.664080929e+02 1.4e-11 3.16
89 2.2e-08 4.5e-03 1.5e-06 1.02e+00 1.664080373e+02 1.664080908e+02 1.3e-11 3.19
90 2.0e-08 4.1e-03 1.3e-06 1.06e+00 1.664080420e+02 1.664080884e+02 1.2e-11 3.22
91 1.8e-08 3.7e-03 1.2e-06 9.79e-01 1.664080451e+02 1.664080870e+02 1.1e-11 3.26
92 1.6e-08 3.3e-03 1.1e-06 1.04e+00 1.664080484e+02 1.664080853e+02 9.7e-12 3.29
93 1.5e-08 3.0e-03 9.6e-07 1.02e+00 1.664080511e+02 1.664080840e+02 8.8e-12 3.32
94 1.3e-08 2.7e-03 8.6e-07 9.85e-01 1.664080533e+02 1.664080830e+02 7.9e-12 3.36
95 1.2e-08 2.4e-03 7.7e-07 9.82e-01 1.664080553e+02 1.664080820e+02 7.1e-12 3.39
96 1.1e-08 2.2e-03 7.0e-07 1.02e+00 1.664080573e+02 1.664080811e+02 6.5e-12 3.42
97 9.6e-09 1.9e-03 6.3e-07 9.58e-01 1.664080589e+02 1.664080804e+02 5.8e-12 3.45
98 8.6e-09 1.8e-03 5.6e-07 9.65e-01 1.664080603e+02 1.664080797e+02 5.3e-12 3.48
99 7.8e-09 1.6e-03 5.1e-07 8.94e-01 1.664080616e+02 1.664080791e+02 4.7e-12 3.52
100 7.0e-09 1.4e-03 4.6e-07 9.14e-01 1.664080628e+02 1.664080786e+02 4.3e-12 3.55
101 6.9e-09 1.3e-03 4.1e-07 1.20e+00 1.664080648e+02 1.664080774e+02 4.2e-12 3.59
102 6.1e-09 1.1e-03 3.7e-07 9.47e-01 1.664080657e+02 1.664080771e+02 3.8e-12 3.62
103 5.6e-09 1.0e-03 3.3e-07 1.01e+00 1.664080665e+02 1.664080767e+02 3.4e-12 3.65
104 5.1e-09 9.3e-04 3.0e-07 1.00e+00 1.664080672e+02 1.664080763e+02 3.1e-12 3.68
105 4.8e-09 8.4e-04 2.7e-07 1.08e+00 1.664080681e+02 1.664080759e+02 2.9e-12 3.72
106 4.3e-09 7.5e-04 2.4e-07 1.07e+00 1.664080688e+02 1.664080756e+02 2.7e-12 3.75
107 3.8e-09 6.8e-04 2.2e-07 9.51e-01 1.664080692e+02 1.664080754e+02 2.4e-12 3.78
108 3.4e-09 6.1e-04 2.0e-07 8.51e-01 1.664080696e+02 1.664080752e+02 2.2e-12 3.81
109 3.0e-09 5.5e-04 1.8e-07 8.93e-01 1.664080700e+02 1.664080751e+02 2.0e-12 3.85
110 2.8e-09 4.9e-04 1.6e-07 1.10e+00 1.664080705e+02 1.664080748e+02 1.9e-12 3.88
111 2.5e-09 4.5e-04 1.4e-07 1.05e+00 1.664080709e+02 1.664080746e+02 1.7e-12 3.91
112 3.2e-09 5.0e-05 1.6e-08 8.19e-01 1.664080732e+02 1.664080737e+02 3.1e-13 3.95
Interior-point optimizer terminated. Time: 3.95.
Optimizer terminated. Time: 3.98
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807325e+02 Viol. con: 9e-08 var: 0e+00
Dual. obj: 1.6640807371e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4 seconds.
Solving took 9 GP solves and 1.23e+03 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: 1.495740572508974e+110 vs 1.495702927e+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: 3.70537052269901e+72 vs 3.70525186668e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682536]
Total Aircraft Weight Percent Diff: [-21.48056993]
Engine Weight Percent Diff: -56.278260346853266
Fuselage Weight Percent Diff: -0.8697422653750285
Payload Weight Percent Diff: [-0.04003562]
VT Weight Percent Diff: -8.607972707369946
HT Weight Percent Diff: -93.23331383628873
Wing Weight Percent Diff: 8.267503979227877
WING DIFFERENCES
Wing Span Percent Diff: -0.029992582848839367
Wing Area Percent Diff: 32.89980348439964
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.488751932316426
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022355810284898
VT Area Percent Diff: -60.38684932800146
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54720807]
L/D Percent Diff: [24.01023168]
Nacelle Cd Percent Diff: [-94.27641957]
HT Cd Percent Diff: [-80.76941289] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00296173] dimensionless
Wing Cd percent Diff: [-14.22915714]
Induced Drag Cd Percent Diff: [1.21946074]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035897]
FUSELAGE DIFFERENCES
Weight of HB material: -38.361126413157
Weight of VB material: 87.81559525357619
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260519]