![[Jenkins]](/csi/static/36dbc502/images/svgs/logo.svg){kind=logo}
Passed
gpkit.tests.from_paths.TestFiles.test_SPaircraft_py_mosek (from gpkit.tests.from_paths.TestFiles-20190827175652)
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: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 768
Optimizer - Cones : 0
Optimizer - Scalar variables : 3438 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.22 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285824792e+05 2.000000000e+00 1.0e+00 0.26
1 1.1e+03 1.5e+03 6.3e+04 -9.71e-01 -1.265132514e+05 3.611589420e+00 4.9e-01 0.29
2 4.1e+02 5.4e+02 2.3e+04 -9.38e-01 -1.199666169e+05 1.064041138e+01 1.8e-01 0.32
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.156309126e+05 6.812702963e+01 1.3e-01 0.36
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.131522901e+05 2.113211995e+03 1.3e-01 0.39
5 8.8e+01 1.2e+02 5.0e+03 -7.53e-01 -8.096538237e+04 8.430204037e+03 3.9e-02 0.42
6 3.7e+01 4.8e+01 2.1e+03 -2.92e-01 -4.806295568e+04 1.015705753e+04 1.6e-02 0.45
7 2.1e+01 2.8e+01 1.2e+03 2.53e-01 -3.183959973e+04 7.147574260e+03 9.5e-03 0.48
8 9.4e+00 1.2e+01 5.3e+02 5.37e-01 -1.516213576e+04 4.167067597e+03 4.2e-03 0.52
9 5.5e+00 7.2e+00 3.1e+02 8.14e-01 -8.873654488e+03 2.833843752e+03 2.5e-03 0.55
10 1.3e+00 1.8e+00 7.7e+01 9.07e-01 -2.032976954e+03 9.282385087e+02 6.1e-04 0.59
11 7.0e-01 9.2e-01 4.0e+01 9.94e-01 -8.350002142e+02 7.206024908e+02 3.2e-04 0.62
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.846306076e+02 5.632460213e+02 2.1e-04 0.66
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.148957258e+02 4.857769751e+02 1.6e-04 0.69
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.857417116e+01 3.656902710e+02 7.9e-05 0.73
15 5.5e-02 1.5e-01 3.3e+00 9.94e-01 1.620485362e+02 2.901550655e+02 2.6e-05 0.76
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.996394651e+02 2.746181590e+02 1.6e-05 0.80
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.444824012e+02 2.572405213e+02 2.8e-06 0.83
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509288752e+02 2.546905409e+02 8.3e-07 0.87
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527800443e+02 2.540213968e+02 2.8e-07 0.90
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532857302e+02 2.538354980e+02 1.2e-07 0.94
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533271035e+02 2.538219096e+02 1.1e-07 0.97
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533631909e+02 2.538084914e+02 1.0e-07 1.01
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533957124e+02 2.537964664e+02 9.0e-08 1.04
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534249555e+02 2.537856200e+02 8.1e-08 1.07
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534512557e+02 2.537758421e+02 7.3e-08 1.11
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534749084e+02 2.537670264e+02 6.6e-08 1.14
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534961824e+02 2.537590805e+02 5.9e-08 1.18
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535153179e+02 2.537519196e+02 5.3e-08 1.21
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535325308e+02 2.537454669e+02 4.8e-08 1.25
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535480148e+02 2.537396530e+02 4.3e-08 1.29
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535619442e+02 2.537344150e+02 3.9e-08 1.32
32 5.9e-05 2.9e-02 4.0e-03 1.00e+00 2.535744754e+02 2.537296963e+02 3.5e-08 1.36
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535857490e+02 2.537254456e+02 3.1e-08 1.39
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535958915e+02 2.537216167e+02 2.8e-08 1.43
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536050166e+02 2.537181679e+02 2.5e-08 1.47
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536132264e+02 2.537150615e+02 2.3e-08 1.50
37 3.5e-05 2.0e-02 2.4e-03 1.00e+00 2.536206130e+02 2.537122637e+02 2.1e-08 1.53
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536272589e+02 2.537097440e+02 1.9e-08 1.57
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536332386e+02 2.537074747e+02 1.7e-08 1.60
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536386189e+02 2.537054310e+02 1.5e-08 1.64
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536434601e+02 2.537035907e+02 1.4e-08 1.67
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536478161e+02 2.537019335e+02 1.2e-08 1.71
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536517357e+02 2.537004413e+02 1.1e-08 1.74
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536552627e+02 2.536990976e+02 9.8e-09 1.78
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536584365e+02 2.536978878e+02 8.9e-09 1.81
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536612924e+02 2.536967986e+02 8.0e-09 1.85
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536638623e+02 2.536958179e+02 7.2e-09 1.90
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536661750e+02 2.536949350e+02 6.5e-09 1.93
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536682562e+02 2.536941402e+02 5.8e-09 1.96
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536701290e+02 2.536934247e+02 5.2e-09 2.00
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536718144e+02 2.536927806e+02 4.7e-09 2.03
52 7.2e-06 1.0e-02 4.9e-04 1.00e+00 2.536733312e+02 2.536922007e+02 4.2e-09 2.07
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536746961e+02 2.536916788e+02 3.8e-09 2.10
54 5.9e-06 9.6e-03 3.9e-04 1.00e+00 2.536759245e+02 2.536912089e+02 3.4e-09 2.14
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770300e+02 2.536907860e+02 3.1e-09 2.17
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780248e+02 2.536904052e+02 2.8e-09 2.21
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789201e+02 2.536900625e+02 2.5e-09 2.24
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797258e+02 2.536897540e+02 2.3e-09 2.27
59 3.5e-06 8.7e-03 2.3e-04 1.00e+00 2.536804509e+02 2.536894763e+02 2.0e-09 2.31
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811034e+02 2.536892263e+02 1.8e-09 2.34
61 3.0e-06 8.4e-03 2.0e-04 1.00e+00 2.536813061e+02 2.536891487e+02 1.8e-09 2.37
62 1.2e-06 3.2e-03 7.8e-05 1.00e+00 2.536847817e+02 2.536878158e+02 6.8e-10 2.41
63 1.0e-06 2.9e-03 7.0e-05 1.00e+00 2.536850016e+02 2.536877323e+02 6.1e-10 2.44
64 6.0e-07 1.7e-03 4.0e-05 1.00e+00 2.536858417e+02 2.536874100e+02 3.5e-10 2.48
65 5.4e-07 1.5e-03 3.6e-05 1.00e+00 2.536859550e+02 2.536873665e+02 3.2e-10 2.51
66 5.3e-07 1.5e-03 3.6e-05 1.00e+00 2.536859747e+02 2.536873589e+02 3.1e-10 2.53
67 5.2e-07 1.5e-03 3.5e-05 1.00e+00 2.536859941e+02 2.536873515e+02 3.0e-10 2.57
68 4.7e-07 1.4e-03 3.2e-05 1.00e+00 2.536860826e+02 2.536873175e+02 2.8e-10 2.61
69 4.3e-07 1.2e-03 2.9e-05 1.00e+00 2.536861631e+02 2.536872866e+02 2.5e-10 2.63
70 4.0e-07 1.2e-03 2.7e-05 1.00e+00 2.536862170e+02 2.536872659e+02 2.4e-10 2.67
71 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862317e+02 2.536872603e+02 2.3e-10 2.71
72 3.6e-07 1.0e-03 2.4e-05 1.00e+00 2.536863023e+02 2.536872331e+02 2.1e-10 2.74
73 3.5e-07 1.0e-03 2.4e-05 1.00e+00 2.536863048e+02 2.536872322e+02 2.1e-10 2.78
74 3.2e-07 9.2e-04 2.1e-05 1.00e+00 2.536863718e+02 2.536872064e+02 1.9e-10 2.81
75 2.9e-07 8.3e-04 1.9e-05 1.00e+00 2.536864321e+02 2.536871833e+02 1.7e-10 2.84
76 2.6e-07 7.5e-04 1.7e-05 1.00e+00 2.536864864e+02 2.536871624e+02 1.5e-10 2.87
77 2.6e-07 7.5e-04 1.7e-05 1.00e+00 2.536864882e+02 2.536871617e+02 1.5e-10 2.90
78 2.3e-07 6.7e-04 1.6e-05 1.00e+00 2.536865369e+02 2.536871430e+02 1.4e-10 2.94
79 2.1e-07 6.0e-04 1.4e-05 1.00e+00 2.536865807e+02 2.536871262e+02 1.2e-10 2.97
80 1.9e-07 5.4e-04 1.3e-05 1.00e+00 2.536866201e+02 2.536871111e+02 1.1e-10 3.00
81 1.9e-07 5.4e-04 1.3e-05 1.00e+00 2.536866214e+02 2.536871106e+02 1.1e-10 3.03
82 1.7e-07 4.9e-04 1.1e-05 1.00e+00 2.536866550e+02 2.536870977e+02 9.9e-11 3.07
83 1.5e-07 4.4e-04 1.0e-05 1.00e+00 2.536866854e+02 2.536870860e+02 9.0e-11 3.10
84 1.5e-07 4.4e-04 1.0e-05 1.00e+00 2.536866864e+02 2.536870856e+02 9.0e-11 3.13
85 1.4e-07 4.0e-04 9.3e-06 1.00e+00 2.536867138e+02 2.536870750e+02 8.1e-11 3.17
86 1.4e-07 4.0e-04 9.3e-06 1.00e+00 2.536867148e+02 2.536870747e+02 8.1e-11 3.20
87 1.2e-07 3.6e-04 8.3e-06 1.00e+00 2.536867408e+02 2.536870647e+02 7.3e-11 3.23
88 1.1e-07 3.3e-04 7.6e-06 1.00e+00 2.536867619e+02 2.536870566e+02 6.6e-11 3.27
89 1.1e-07 3.3e-04 7.5e-06 1.00e+00 2.536867627e+02 2.536870563e+02 6.6e-11 3.30
90 1.0e-07 3.0e-04 6.9e-06 1.00e+00 2.536867818e+02 2.536870489e+02 6.0e-11 3.33
91 1.0e-07 3.0e-04 6.8e-06 1.00e+00 2.536867826e+02 2.536870486e+02 6.0e-11 3.37
92 9.3e-08 2.7e-04 6.3e-06 1.00e+00 2.536867982e+02 2.536870426e+02 5.5e-11 3.41
93 8.4e-08 2.5e-04 5.7e-06 1.00e+00 2.536868159e+02 2.536870358e+02 4.9e-11 3.43
94 7.6e-08 2.2e-04 5.1e-06 1.00e+00 2.536868318e+02 2.536870297e+02 4.4e-11 3.47
95 6.8e-08 2.0e-04 4.6e-06 1.00e+00 2.536868453e+02 2.536870245e+02 4.0e-11 3.50
96 6.8e-08 2.0e-04 4.6e-06 1.00e+00 2.536868453e+02 2.536870245e+02 4.0e-11 3.54
97 6.8e-08 2.0e-04 4.6e-06 1.00e+00 2.536868454e+02 2.536870245e+02 4.0e-11 3.57
98 6.2e-08 1.8e-04 4.2e-06 1.00e+00 2.536868577e+02 2.536870197e+02 3.6e-11 3.60
99 5.6e-08 1.6e-04 3.8e-06 1.00e+00 2.536868694e+02 2.536870152e+02 3.3e-11 3.63
100 5.6e-08 1.6e-04 3.8e-06 1.00e+00 2.536868694e+02 2.536870152e+02 3.3e-11 3.66
101 5.0e-08 1.5e-04 3.4e-06 1.00e+00 2.536868794e+02 2.536870114e+02 3.0e-11 3.69
102 4.6e-08 1.3e-04 3.1e-06 1.00e+00 2.536868884e+02 2.536870079e+02 2.7e-11 3.72
103 4.6e-08 1.3e-04 3.1e-06 1.00e+00 2.536868884e+02 2.536870079e+02 2.7e-11 3.75
104 4.1e-08 1.2e-04 2.8e-06 1.00e+00 2.536868971e+02 2.536870046e+02 2.4e-11 3.78
105 3.7e-08 1.1e-04 2.5e-06 1.00e+00 2.536869044e+02 2.536870017e+02 2.2e-11 3.81
106 3.3e-08 9.8e-05 2.3e-06 1.00e+00 2.536869115e+02 2.536869990e+02 2.0e-11 3.84
107 3.0e-08 8.8e-05 2.0e-06 1.00e+00 2.536869178e+02 2.536869966e+02 1.8e-11 3.87
108 2.7e-08 8.0e-05 1.8e-06 1.00e+00 2.536869232e+02 2.536869945e+02 1.6e-11 3.90
109 2.7e-08 8.0e-05 1.8e-06 9.99e-01 2.536869232e+02 2.536869945e+02 1.6e-11 3.93
110 2.5e-08 7.2e-05 1.7e-06 1.00e+00 2.536869281e+02 2.536869926e+02 1.4e-11 3.96
111 2.2e-08 6.5e-05 1.5e-06 9.99e-01 2.536869325e+02 2.536869909e+02 1.3e-11 4.00
112 2.2e-08 6.5e-05 1.5e-06 1.00e+00 2.536869325e+02 2.536869909e+02 1.3e-11 4.04
113 2.0e-08 5.9e-05 1.4e-06 9.98e-01 2.536869367e+02 2.536869893e+02 1.2e-11 4.07
114 1.8e-08 5.3e-05 1.2e-06 1.00e+00 2.536869405e+02 2.536869878e+02 1.1e-11 4.10
115 1.8e-08 5.2e-05 1.2e-06 1.00e+00 2.536869412e+02 2.536869876e+02 1.0e-11 4.13
116 1.6e-08 4.8e-05 1.1e-06 1.00e+00 2.536869439e+02 2.536869865e+02 9.6e-12 4.16
117 1.6e-08 4.8e-05 1.1e-06 1.00e+00 2.536869439e+02 2.536869865e+02 9.6e-12 4.19
118 1.5e-08 4.3e-05 9.9e-07 1.00e+00 2.536869470e+02 2.536869853e+02 8.6e-12 4.23
119 1.3e-08 3.9e-05 8.9e-07 1.00e+00 2.536869496e+02 2.536869843e+02 7.8e-12 4.25
120 1.2e-08 3.5e-05 8.1e-07 1.00e+00 2.536869520e+02 2.536869834e+02 7.1e-12 4.29
121 1.2e-08 3.5e-05 8.0e-07 1.00e+00 2.536869521e+02 2.536869834e+02 7.0e-12 4.32
122 1.2e-08 3.5e-05 8.0e-07 1.00e+00 2.536869521e+02 2.536869834e+02 7.0e-12 4.35
123 1.1e-08 3.2e-05 7.3e-07 1.00e+00 2.536869542e+02 2.536869825e+02 6.4e-12 4.38
124 9.7e-09 2.9e-05 6.6e-07 1.00e+00 2.536869563e+02 2.536869817e+02 5.7e-12 4.41
Interior-point optimizer terminated. Time: 4.42.
Optimizer terminated. Time: 4.45
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695631e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698172e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.47 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 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 : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286636032e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.264180260e+05 3.781070854e+00 4.7e-01 0.15
2 4.6e+02 6.0e+02 2.6e+04 -9.35e-01 -1.210471961e+05 9.871250669e+00 2.0e-01 0.19
3 2.9e+02 3.8e+02 1.6e+04 -8.50e-01 -1.158624976e+05 5.253701884e+01 1.3e-01 0.23
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.137381539e+05 1.863811988e+03 1.3e-01 0.26
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.842864604e+04 9.038469632e+03 3.6e-02 0.29
6 3.6e+01 4.7e+01 2.0e+03 -2.53e-01 -4.698030069e+04 1.010176984e+04 1.6e-02 0.33
7 1.8e+01 2.4e+01 1.0e+03 2.76e-01 -2.813348722e+04 6.397682971e+03 8.2e-03 0.36
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.477869517e+04 4.004072533e+03 4.0e-03 0.39
9 5.7e+00 7.4e+00 3.2e+02 8.20e-01 -9.247829958e+03 2.776682026e+03 2.5e-03 0.43
10 1.9e+00 2.5e+00 1.1e+02 9.03e-01 -3.003060375e+03 1.154002778e+03 8.5e-04 0.46
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.419019251e+03 1.010907189e+03 7.0e-04 0.50
12 1.0e+00 1.4e+00 5.7e+01 9.77e-01 -1.494909807e+03 7.263450336e+02 4.5e-04 0.53
13 4.7e-01 7.0e-01 2.7e+01 9.83e-01 -6.134620737e+02 4.375216515e+02 2.1e-04 0.56
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.355955545e+02 3.290669012e+02 1.1e-04 0.60
15 1.0e-01 1.7e-01 5.9e+00 1.00e+00 7.317580647e+00 2.369834159e+02 4.7e-05 0.63
16 5.0e-02 1.0e-01 2.9e+00 1.00e+00 9.073385247e+01 2.038614862e+02 2.3e-05 0.67
17 1.0e-02 1.5e-01 6.3e-01 1.01e+00 1.546017190e+02 1.791070632e+02 5.2e-06 0.70
18 6.2e-03 1.0e-01 3.8e-01 1.01e+00 1.615121012e+02 1.764421345e+02 3.2e-06 0.74
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.694752256e+02 1.734658677e+02 8.7e-07 0.77
20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717779151e+02 1.726253081e+02 1.9e-07 0.81
21 1.4e-04 1.0e-01 9.3e-03 9.93e-01 1.721395928e+02 1.725021456e+02 8.2e-08 0.84
22 8.8e-05 8.3e-02 5.9e-03 1.00e+00 1.722353227e+02 1.724645587e+02 5.2e-08 0.88
23 7.9e-05 7.7e-02 5.3e-03 1.00e+00 1.722533715e+02 1.724597546e+02 4.7e-08 0.93
24 7.1e-05 7.0e-02 4.8e-03 1.00e+00 1.722685694e+02 1.724543187e+02 4.2e-08 0.95
25 6.4e-05 6.4e-02 4.3e-03 1.00e+00 1.722822905e+02 1.724494657e+02 3.8e-08 0.99
26 5.8e-05 5.8e-02 3.9e-03 1.00e+00 1.722946103e+02 1.724450677e+02 3.4e-08 1.02
27 5.2e-05 5.3e-02 3.5e-03 1.00e+00 1.723056853e+02 1.724410961e+02 3.1e-08 1.05
28 4.7e-05 4.9e-02 3.1e-03 1.00e+00 1.723156378e+02 1.724375064e+02 2.8e-08 1.08
29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723245815e+02 1.724342621e+02 2.5e-08 1.10
30 3.8e-05 4.1e-02 2.5e-03 1.00e+00 1.723326187e+02 1.724313300e+02 2.2e-08 1.13
31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723398414e+02 1.724286806e+02 2.0e-08 1.17
32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723463328e+02 1.724262873e+02 1.8e-08 1.20
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723521676e+02 1.724241259e+02 1.6e-08 1.23
34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723574128e+02 1.724221747e+02 1.5e-08 1.26
35 2.2e-05 2.8e-02 1.5e-03 1.00e+00 1.723621285e+02 1.724204136e+02 1.3e-08 1.29
36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723663685e+02 1.724188247e+02 1.2e-08 1.32
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723701811e+02 1.724173914e+02 1.1e-08 1.35
38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723736096e+02 1.724160987e+02 9.6e-09 1.38
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723766930e+02 1.724149330e+02 8.6e-09 1.41
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723794661e+02 1.724138820e+02 7.8e-09 1.44
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723819603e+02 1.724129345e+02 7.0e-09 1.47
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723842037e+02 1.724120804e+02 6.3e-09 1.51
43 9.6e-06 1.6e-02 6.5e-04 1.00e+00 1.723862216e+02 1.724113107e+02 5.7e-09 1.54
44 8.7e-06 1.5e-02 5.8e-04 1.00e+00 1.723880368e+02 1.724106170e+02 5.1e-09 1.57
45 7.8e-06 1.5e-02 5.2e-04 1.00e+00 1.723896697e+02 1.724099918e+02 4.6e-09 1.60
46 7.0e-06 1.4e-02 4.7e-04 1.00e+00 1.723911386e+02 1.724094285e+02 4.1e-09 1.63
47 6.3e-06 1.3e-02 4.3e-04 1.00e+00 1.723924600e+02 1.724089211e+02 3.7e-09 1.67
48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723936489e+02 1.724084638e+02 3.3e-09 1.69
49 5.1e-06 1.2e-02 3.4e-04 1.00e+00 1.723947184e+02 1.724080520e+02 3.0e-09 1.72
50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723956807e+02 1.724076810e+02 2.7e-09 1.75
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965465e+02 1.724073468e+02 2.4e-09 1.78
52 3.7e-06 1.1e-02 2.5e-04 1.00e+00 1.723973255e+02 1.724070458e+02 2.2e-09 1.80
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980264e+02 1.724067747e+02 2.0e-09 1.83
54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986570e+02 1.724065305e+02 1.8e-09 1.86
55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992245e+02 1.724063107e+02 1.6e-09 1.90
56 2.5e-06 9.7e-03 1.6e-04 1.00e+00 1.723997351e+02 1.724061127e+02 1.4e-09 1.93
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001945e+02 1.724059344e+02 1.3e-09 1.96
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724006079e+02 1.724057738e+02 1.2e-09 2.00
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009799e+02 1.724056293e+02 1.1e-09 2.03
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013146e+02 1.724054991e+02 9.5e-10 2.06
61 1.4e-06 8.8e-03 9.7e-05 1.00e+00 1.724016158e+02 1.724053819e+02 8.5e-10 2.09
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018869e+02 1.724052763e+02 7.7e-10 2.12
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021308e+02 1.724051813e+02 6.9e-10 2.15
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023503e+02 1.724050957e+02 6.2e-10 2.18
65 9.5e-07 8.4e-03 6.4e-05 1.00e+00 1.724025478e+02 1.724050187e+02 5.6e-10 2.22
66 8.5e-07 8.3e-03 5.7e-05 1.00e+00 1.724027255e+02 1.724049493e+02 5.0e-10 2.26
67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028854e+02 1.724048869e+02 4.5e-10 2.29
68 6.9e-07 8.1e-03 4.7e-05 1.00e+00 1.724030293e+02 1.724048307e+02 4.1e-10 2.32
69 6.2e-07 8.1e-03 4.2e-05 1.00e+00 1.724031588e+02 1.724047800e+02 3.7e-10 2.35
70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032754e+02 1.724047345e+02 3.3e-10 2.38
71 5.0e-07 7.9e-03 3.4e-05 1.00e+00 1.724033803e+02 1.724046934e+02 3.0e-10 2.42
72 4.5e-07 7.9e-03 3.1e-05 1.00e+00 1.724034746e+02 1.724046565e+02 2.7e-10 2.45
73 4.1e-07 7.8e-03 2.7e-05 1.00e+00 1.724035595e+02 1.724046233e+02 2.4e-10 2.49
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036360e+02 1.724045933e+02 2.2e-10 2.51
75 3.3e-07 7.7e-03 2.2e-05 9.99e-01 1.724037047e+02 1.724045664e+02 1.9e-10 2.55
76 3.0e-07 7.7e-03 2.0e-05 9.99e-01 1.724037666e+02 1.724045421e+02 1.8e-10 2.58
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038223e+02 1.724045203e+02 1.6e-10 2.61
78 2.4e-07 7.6e-03 1.6e-05 9.99e-01 1.724038724e+02 1.724045006e+02 1.4e-10 2.65
79 2.2e-07 7.6e-03 1.5e-05 9.99e-01 1.724039175e+02 1.724044829e+02 1.3e-10 2.68
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039581e+02 1.724044670e+02 1.2e-10 2.71
81 1.8e-07 7.5e-03 1.2e-05 9.99e-01 1.724039946e+02 1.724044526e+02 1.0e-10 2.75
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040275e+02 1.724044397e+02 9.3e-11 2.78
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040571e+02 1.724044281e+02 8.4e-11 2.81
84 1.3e-07 7.5e-03 8.6e-06 1.00e+00 1.724040837e+02 1.724044176e+02 7.5e-11 2.84
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041076e+02 1.724044081e+02 6.8e-11 2.87
86 1.0e-07 7.4e-03 7.0e-06 1.00e+00 1.724041292e+02 1.724043996e+02 6.1e-11 2.91
87 9.4e-08 7.4e-03 6.3e-06 9.99e-01 1.724041486e+02 1.724043920e+02 5.5e-11 2.93
88 8.4e-08 7.4e-03 5.7e-06 9.99e-01 1.724041660e+02 1.724043851e+02 5.0e-11 2.97
89 7.6e-08 7.4e-03 5.1e-06 9.98e-01 1.724041817e+02 1.724043789e+02 4.5e-11 3.00
90 6.8e-08 7.4e-03 4.6e-06 1.00e+00 1.724041959e+02 1.724043733e+02 4.0e-11 3.03
91 6.1e-08 7.3e-03 4.1e-06 9.97e-01 1.724042086e+02 1.724043683e+02 3.6e-11 3.07
92 5.5e-08 6.6e-03 3.7e-06 1.00e+00 1.724042201e+02 1.724043638e+02 3.3e-11 3.10
93 5.0e-08 5.9e-03 3.3e-06 1.00e+00 1.724042304e+02 1.724043597e+02 2.9e-11 3.13
94 4.5e-08 5.3e-03 3.0e-06 1.00e+00 1.724042398e+02 1.724043560e+02 2.6e-11 3.16
95 4.0e-08 4.8e-03 2.7e-06 1.00e+00 1.724042481e+02 1.724043527e+02 2.4e-11 3.19
96 3.6e-08 4.3e-03 2.4e-06 1.00e+00 1.724042556e+02 1.724043497e+02 2.1e-11 3.22
97 3.3e-08 3.9e-03 2.2e-06 1.00e+00 1.724042624e+02 1.724043470e+02 1.9e-11 3.26
98 2.9e-08 3.5e-03 2.0e-06 1.01e+00 1.724042686e+02 1.724043445e+02 1.7e-11 3.29
99 2.6e-08 3.2e-03 1.8e-06 1.00e+00 1.724042741e+02 1.724043423e+02 1.6e-11 3.33
100 2.4e-08 2.8e-03 1.6e-06 9.91e-01 1.724042790e+02 1.724043404e+02 1.4e-11 3.36
101 2.1e-08 2.6e-03 1.4e-06 1.01e+00 1.724042836e+02 1.724043386e+02 1.3e-11 3.39
102 1.9e-08 2.3e-03 1.3e-06 9.95e-01 1.724042875e+02 1.724043371e+02 1.1e-11 3.42
103 1.7e-08 2.1e-03 1.2e-06 1.00e+00 1.724042911e+02 1.724043356e+02 1.0e-11 3.45
104 1.6e-08 1.9e-03 1.0e-06 1.01e+00 1.724042945e+02 1.724043343e+02 9.3e-12 3.48
105 4.0e-09 4.7e-04 2.7e-07 1.01e+00 1.724043158e+02 1.724043258e+02 2.3e-12 3.51
106 3.6e-09 4.2e-04 2.4e-07 9.61e-01 1.724043165e+02 1.724043255e+02 2.1e-12 3.54
107 1.5e-09 1.0e-04 5.8e-08 1.05e+00 1.724043214e+02 1.724043235e+02 4.8e-13 3.58
Interior-point optimizer terminated. Time: 3.58.
Optimizer terminated. Time: 3.60
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432140e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.7240432349e+02 Viol. con: 0e+00 var: 7e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.63 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
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 -1.289209256e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.267404374e+05 3.637046938e+00 4.8e-01 0.11
2 4.4e+02 5.7e+02 2.4e+04 -9.36e-01 -1.207993250e+05 1.004621976e+01 1.9e-01 0.15
3 2.9e+02 3.8e+02 1.6e+04 -8.43e-01 -1.160618632e+05 5.990663027e+01 1.3e-01 0.18
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.136045213e+05 2.136094069e+03 1.3e-01 0.21
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.752619477e+04 9.316591630e+03 3.5e-02 0.24
6 4.0e+01 5.2e+01 2.2e+03 -2.34e-01 -5.076742456e+04 1.003180058e+04 1.8e-02 0.28
7 3.0e+01 3.9e+01 1.7e+03 2.19e-01 -4.171035016e+04 8.294889518e+03 1.3e-02 0.31
8 1.9e+01 2.4e+01 1.0e+03 3.81e-01 -2.865137585e+04 5.387060322e+03 8.1e-03 0.35
9 7.9e+00 1.0e+01 4.4e+02 6.03e-01 -1.310594671e+04 3.143045351e+03 3.5e-03 0.38
10 4.0e+00 5.2e+00 2.2e+02 8.46e-01 -6.378097770e+03 2.128677373e+03 1.8e-03 0.41
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.514543645e+03 1.314872987e+03 9.9e-04 0.45
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.333949096e+03 6.456457820e+02 4.0e-04 0.48
13 8.2e-01 1.1e+00 4.6e+01 9.70e-01 -1.223648336e+03 5.999353669e+02 3.7e-04 0.52
14 5.9e-01 7.8e-01 3.3e+01 9.74e-01 -8.149789650e+02 4.893551822e+02 2.6e-04 0.55
15 2.2e-01 7.6e-01 1.2e+01 9.90e-01 -1.999801756e+02 2.844532825e+02 9.8e-05 0.58
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.241237605e+01 2.161155946e+02 4.9e-05 0.62
17 7.7e-02 2.8e-01 4.5e+00 1.01e+00 2.681041444e+01 2.015604711e+02 3.6e-05 0.65
18 5.1e-02 2.0e-01 3.0e+00 1.02e+00 7.891992406e+01 1.950359242e+02 2.4e-05 0.69
19 1.4e-02 1.1e-01 8.5e-01 1.00e+00 1.414696683e+02 1.745815815e+02 6.9e-06 0.72
20 4.0e-03 2.2e-01 2.4e-01 1.02e+00 1.602704071e+02 1.696481419e+02 1.9e-06 0.76
21 2.7e-03 2.1e-01 1.6e-01 1.01e+00 1.624283431e+02 1.687369911e+02 1.3e-06 0.78
22 1.9e-03 1.5e-01 1.2e-01 1.00e+00 1.637169747e+02 1.683012375e+02 9.5e-07 0.82
23 7.5e-04 9.5e-02 4.7e-02 1.01e+00 1.658030081e+02 1.676006409e+02 3.8e-07 0.85
24 3.6e-04 7.9e-02 2.3e-02 1.01e+00 1.664694342e+02 1.673480791e+02 1.9e-07 0.88
25 3.3e-04 7.2e-02 2.1e-02 1.01e+00 1.665375530e+02 1.673287271e+02 1.7e-07 0.91
26 3.0e-04 6.6e-02 1.9e-02 1.01e+00 1.665946468e+02 1.673064441e+02 1.5e-07 0.94
27 2.7e-04 6.0e-02 1.7e-02 1.01e+00 1.666462351e+02 1.672866460e+02 1.4e-07 0.98
28 2.4e-04 5.5e-02 1.5e-02 1.01e+00 1.666924294e+02 1.672686287e+02 1.2e-07 1.01
29 2.2e-04 5.0e-02 1.4e-02 1.01e+00 1.667338782e+02 1.672523182e+02 1.1e-07 1.05
30 1.9e-04 4.6e-02 1.2e-02 1.01e+00 1.667710415e+02 1.672375233e+02 9.9e-08 1.08
31 1.7e-04 4.2e-02 1.1e-02 1.01e+00 1.668043635e+02 1.672241039e+02 8.9e-08 1.11
32 1.6e-04 3.8e-02 9.9e-03 1.01e+00 1.668342395e+02 1.672119299e+02 8.0e-08 1.15
33 1.4e-04 3.5e-02 8.9e-03 1.01e+00 1.668610261e+02 1.672008856e+02 7.2e-08 1.18
34 1.3e-04 3.3e-02 8.0e-03 1.01e+00 1.668850437e+02 1.671908672e+02 6.5e-08 1.21
35 1.1e-04 3.0e-02 7.2e-03 1.00e+00 1.669065809e+02 1.671817815e+02 5.8e-08 1.25
36 1.0e-04 2.8e-02 6.5e-03 1.00e+00 1.669258967e+02 1.671735446e+02 5.3e-08 1.29
37 9.3e-05 2.6e-02 5.8e-03 1.00e+00 1.669432231e+02 1.671660802e+02 4.7e-08 1.32
38 8.3e-05 2.4e-02 5.3e-03 1.00e+00 1.669587678e+02 1.671593183e+02 4.3e-08 1.36
39 7.5e-05 2.2e-02 4.7e-03 1.00e+00 1.669727166e+02 1.671531955e+02 3.8e-08 1.39
40 6.8e-05 2.1e-02 4.3e-03 1.00e+00 1.669852350e+02 1.671476530e+02 3.5e-08 1.43
41 6.1e-05 2.0e-02 3.8e-03 1.00e+00 1.669964716e+02 1.671426374e+02 3.1e-08 1.46
42 5.5e-05 1.8e-02 3.4e-03 1.00e+00 1.670065590e+02 1.671381001e+02 2.8e-08 1.49
43 4.9e-05 1.7e-02 3.1e-03 1.00e+00 1.670156158e+02 1.671339966e+02 2.5e-08 1.53
44 4.4e-05 1.6e-02 2.8e-03 1.00e+00 1.670237483e+02 1.671302862e+02 2.3e-08 1.56
45 4.0e-05 1.6e-02 2.5e-03 1.00e+00 1.670310518e+02 1.671269322e+02 2.0e-08 1.59
46 3.6e-05 1.5e-02 2.3e-03 1.00e+00 1.670376115e+02 1.671239010e+02 1.8e-08 1.63
47 3.2e-05 1.4e-02 2.0e-03 1.00e+00 1.670435038e+02 1.671211623e+02 1.7e-08 1.67
48 2.9e-05 1.4e-02 1.8e-03 1.00e+00 1.670487971e+02 1.671186882e+02 1.5e-08 1.70
49 2.6e-05 1.3e-02 1.7e-03 1.00e+00 1.670535529e+02 1.671164538e+02 1.3e-08 1.74
50 2.4e-05 1.3e-02 1.5e-03 1.00e+00 1.670578260e+02 1.671144361e+02 1.2e-08 1.77
51 2.1e-05 1.2e-02 1.3e-03 1.00e+00 1.670616659e+02 1.671126144e+02 1.1e-08 1.81
52 1.9e-05 1.2e-02 1.2e-03 1.00e+00 1.670651167e+02 1.671109700e+02 9.8e-09 1.84
53 1.7e-05 1.1e-02 1.1e-03 1.00e+00 1.670682182e+02 1.671094860e+02 8.8e-09 1.88
54 1.5e-05 1.1e-02 9.7e-04 1.00e+00 1.670710059e+02 1.671081469e+02 7.9e-09 1.91
55 1.4e-05 1.1e-02 8.8e-04 1.00e+00 1.670735118e+02 1.671069387e+02 7.1e-09 1.94
56 1.3e-05 1.0e-02 7.9e-04 1.00e+00 1.670757645e+02 1.671058488e+02 6.4e-09 1.97
57 1.1e-05 1.0e-02 7.1e-04 1.00e+00 1.670777898e+02 1.671048657e+02 5.8e-09 2.01
58 1.0e-05 1.0e-02 6.4e-04 1.00e+00 1.670796108e+02 1.671039790e+02 5.2e-09 2.04
59 9.1e-06 9.8e-03 5.8e-04 1.00e+00 1.670812482e+02 1.671031796e+02 4.7e-09 2.08
60 8.2e-06 9.6e-03 5.2e-04 1.00e+00 1.670827205e+02 1.671024589e+02 4.2e-09 2.11
61 7.4e-06 9.5e-03 4.7e-04 1.00e+00 1.670840446e+02 1.671018093e+02 3.8e-09 2.14
62 6.6e-06 9.3e-03 4.2e-04 1.00e+00 1.670852354e+02 1.671012238e+02 3.4e-09 2.17
63 6.0e-06 9.2e-03 3.8e-04 1.00e+00 1.670863064e+02 1.671006960e+02 3.1e-09 2.20
64 5.4e-06 9.1e-03 3.4e-04 1.00e+00 1.670872696e+02 1.671002205e+02 2.8e-09 2.23
65 2.0e-06 3.4e-03 1.3e-04 1.00e+00 1.670926161e+02 1.670975509e+02 1.1e-09 2.26
66 6.9e-07 1.2e-03 4.4e-05 1.00e+00 1.670947925e+02 1.670964628e+02 3.6e-10 2.29
67 6.2e-07 1.0e-03 3.9e-05 1.00e+00 1.670949068e+02 1.670964100e+02 3.2e-10 2.32
68 5.6e-07 9.4e-04 3.6e-05 1.00e+00 1.670950063e+02 1.670963591e+02 2.9e-10 2.35
69 5.0e-07 8.5e-04 3.2e-05 1.00e+00 1.670950961e+02 1.670963136e+02 2.6e-10 2.38
70 4.5e-07 7.6e-04 2.9e-05 1.00e+00 1.670951768e+02 1.670962725e+02 2.3e-10 2.40
71 4.1e-07 6.9e-04 2.6e-05 1.00e+00 1.670952494e+02 1.670962355e+02 2.1e-10 2.43
72 3.7e-07 6.2e-04 2.3e-05 1.00e+00 1.670953147e+02 1.670962022e+02 1.9e-10 2.46
73 3.3e-07 5.6e-04 2.1e-05 1.00e+00 1.670953734e+02 1.670961722e+02 1.7e-10 2.48
74 3.0e-07 5.0e-04 1.9e-05 9.98e-01 1.670954262e+02 1.670961452e+02 1.5e-10 2.51
75 2.7e-07 4.5e-04 1.7e-05 1.00e+00 1.670954738e+02 1.670961208e+02 1.4e-10 2.56
76 2.4e-07 4.1e-04 1.5e-05 9.99e-01 1.670955166e+02 1.670960989e+02 1.2e-10 2.59
77 2.2e-07 3.7e-04 1.4e-05 1.00e+00 1.670955550e+02 1.670960792e+02 1.1e-10 2.62
78 2.0e-07 3.3e-04 1.2e-05 1.00e+00 1.670955897e+02 1.670960614e+02 1.0e-10 2.65
79 1.8e-07 3.0e-04 1.1e-05 9.99e-01 1.670956208e+02 1.670960454e+02 9.1e-11 2.68
80 1.6e-07 2.7e-04 1.0e-05 1.00e+00 1.670956491e+02 1.670960308e+02 8.2e-11 2.71
81 1.4e-07 2.4e-04 9.0e-06 9.99e-01 1.670956743e+02 1.670960179e+02 7.3e-11 2.74
82 1.3e-07 2.2e-04 8.1e-06 1.00e+00 1.670956970e+02 1.670960062e+02 6.6e-11 2.77
83 1.2e-07 1.9e-04 7.3e-06 9.95e-01 1.670957174e+02 1.670959957e+02 6.0e-11 2.80
84 1.0e-07 1.7e-04 6.6e-06 1.00e+00 1.670957357e+02 1.670959863e+02 5.4e-11 2.83
85 9.3e-08 1.6e-04 5.9e-06 9.96e-01 1.670957523e+02 1.670959778e+02 4.8e-11 2.86
86 8.4e-08 1.4e-04 5.3e-06 9.91e-01 1.670957671e+02 1.670959702e+02 4.3e-11 2.89
87 7.6e-08 1.3e-04 4.8e-06 9.99e-01 1.670957805e+02 1.670959633e+02 3.9e-11 2.93
88 6.8e-08 1.1e-04 4.3e-06 1.00e+00 1.670957926e+02 1.670959570e+02 3.5e-11 2.96
89 6.1e-08 1.0e-04 3.9e-06 1.01e+00 1.670958036e+02 1.670959513e+02 3.2e-11 2.99
90 5.5e-08 9.3e-05 3.5e-06 1.00e+00 1.670958134e+02 1.670959463e+02 2.9e-11 3.02
91 5.0e-08 8.4e-05 3.1e-06 9.97e-01 1.670958221e+02 1.670959418e+02 2.6e-11 3.05
92 4.5e-08 7.5e-05 2.8e-06 9.96e-01 1.670958300e+02 1.670959377e+02 2.3e-11 3.08
93 4.0e-08 6.8e-05 2.6e-06 9.90e-01 1.670958371e+02 1.670959341e+02 2.1e-11 3.11
94 3.6e-08 6.1e-05 2.3e-06 1.01e+00 1.670958437e+02 1.670959307e+02 1.9e-11 3.14
95 3.3e-08 5.5e-05 2.1e-06 9.80e-01 1.670958494e+02 1.670959278e+02 1.7e-11 3.17
96 2.9e-08 4.9e-05 1.9e-06 9.99e-01 1.670958546e+02 1.670959251e+02 1.5e-11 3.20
97 2.6e-08 4.4e-05 1.7e-06 9.92e-01 1.670958592e+02 1.670959227e+02 1.4e-11 3.24
98 2.4e-08 4.0e-05 1.5e-06 9.90e-01 1.670958634e+02 1.670959206e+02 1.2e-11 3.27
99 2.1e-08 3.6e-05 1.4e-06 1.02e+00 1.670958674e+02 1.670959184e+02 1.1e-11 3.31
100 1.9e-08 3.2e-05 1.2e-06 1.01e+00 1.670958709e+02 1.670959166e+02 1.0e-11 3.34
101 1.7e-08 2.9e-05 1.1e-06 1.04e+00 1.670958745e+02 1.670959147e+02 9.3e-12 3.37
Interior-point optimizer terminated. Time: 3.38.
Optimizer terminated. Time: 3.41
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587452e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6709591467e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.43 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286499290e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264834064e+05 3.586695174e+00 4.8e-01 0.11
2 4.3e+02 5.6e+02 2.4e+04 -9.36e-01 -1.204818349e+05 1.001253287e+01 1.9e-01 0.14
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.157492275e+05 6.085659933e+01 1.3e-01 0.17
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131499769e+05 2.257753783e+03 1.3e-01 0.20
5 7.4e+01 9.6e+01 4.1e+03 -7.55e-01 -7.449019723e+04 9.842642577e+03 3.3e-02 0.23
6 3.6e+01 4.7e+01 2.0e+03 -1.90e-01 -4.726340440e+04 1.026281424e+04 1.6e-02 0.27
7 2.2e+01 2.9e+01 1.3e+03 2.77e-01 -3.297718116e+04 7.148429256e+03 9.9e-03 0.30
8 1.4e+01 1.7e+01 7.5e+02 5.32e-01 -2.145904839e+04 4.808140852e+03 6.0e-03 0.33
9 5.3e+00 6.9e+00 3.0e+02 7.21e-01 -8.768019280e+03 2.417280908e+03 2.4e-03 0.36
10 2.4e+00 3.1e+00 1.3e+02 9.13e-01 -3.743280190e+03 1.405433149e+03 1.1e-03 0.39
11 1.7e+00 2.3e+00 9.8e+01 9.75e-01 -2.706760195e+03 1.075288120e+03 7.8e-04 0.43
12 8.2e-01 1.1e+00 4.6e+01 9.83e-01 -1.189762648e+03 5.993146715e+02 3.7e-04 0.46
13 7.5e-01 1.1e+00 4.2e+01 9.48e-01 -1.109365738e+03 5.596610480e+02 3.4e-04 0.49
14 6.3e-01 8.8e-01 3.5e+01 9.86e-01 -8.799148252e+02 5.072314314e+02 2.8e-04 0.52
15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.584741672e+02 2.541998339e+02 8.4e-05 0.56
16 1.0e-01 1.7e-01 5.9e+00 1.01e+00 -1.976705382e+01 2.098852976e+02 4.7e-05 0.59
17 1.0e-01 1.7e-01 5.8e+00 1.02e+00 -1.809002706e+01 2.102290807e+02 4.7e-05 0.62
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.591141147e+01 2.106371344e+02 4.0e-05 0.66
19 4.3e-02 9.6e-02 2.5e+00 1.01e+00 9.060707077e+01 1.877231310e+02 2.0e-05 0.69
20 1.2e-02 1.9e-01 6.8e-01 1.01e+00 1.471515151e+02 1.733931931e+02 5.5e-06 0.73
21 4.3e-03 3.5e-01 2.6e-01 1.01e+00 1.590275463e+02 1.689631176e+02 2.1e-06 0.77
22 1.2e-03 1.7e-01 7.5e-02 1.01e+00 1.645644772e+02 1.674295401e+02 6.1e-07 0.80
23 6.7e-04 1.2e-01 4.2e-02 9.81e-01 1.654777989e+02 1.670872698e+02 3.5e-07 0.83
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662934718e+02 1.667797827e+02 1.1e-07 0.87
25 6.2e-05 1.1e-01 4.1e-03 1.01e+00 1.665280475e+02 1.666838966e+02 3.5e-08 0.90
26 2.0e-05 1.1e-01 1.4e-03 1.01e+00 1.666013362e+02 1.666531250e+02 1.2e-08 0.93
27 6.5e-06 1.1e-01 4.4e-04 1.00e+00 1.666261891e+02 1.666427302e+02 3.8e-09 0.97
28 2.2e-06 1.0e-01 1.5e-04 1.00e+00 1.666337605e+02 1.666395177e+02 1.3e-09 1.01
29 7.7e-07 9.7e-02 5.3e-05 1.00e+00 1.666363784e+02 1.666383682e+02 4.5e-10 1.04
30 3.4e-07 8.2e-02 2.3e-05 1.00e+00 1.666371509e+02 1.666380163e+02 2.0e-10 1.07
31 7.3e-08 1.8e-02 5.0e-06 1.00e+00 1.666376162e+02 1.666378048e+02 4.3e-11 1.11
32 6.6e-08 1.6e-02 4.5e-06 1.00e+00 1.666376302e+02 1.666377999e+02 3.9e-11 1.14
33 5.9e-08 1.6e-02 4.1e-06 1.00e+00 1.666376418e+02 1.666377945e+02 3.5e-11 1.17
34 5.3e-08 1.5e-02 3.7e-06 1.00e+00 1.666376522e+02 1.666377896e+02 3.1e-11 1.21
35 4.8e-08 1.4e-02 3.3e-06 1.01e+00 1.666376617e+02 1.666377852e+02 2.8e-11 1.24
36 4.3e-08 1.3e-02 3.0e-06 9.95e-01 1.666376701e+02 1.666377812e+02 2.6e-11 1.27
37 3.9e-08 1.3e-02 2.7e-06 1.01e+00 1.666376780e+02 1.666377775e+02 2.3e-11 1.31
38 3.5e-08 1.2e-02 2.4e-06 9.91e-01 1.666376848e+02 1.666377743e+02 2.1e-11 1.34
39 3.1e-08 1.2e-02 2.2e-06 1.01e+00 1.666376910e+02 1.666377714e+02 1.9e-11 1.37
40 2.8e-08 1.1e-02 1.9e-06 9.91e-01 1.666376965e+02 1.666377688e+02 1.7e-11 1.41
41 2.5e-08 1.1e-02 1.8e-06 1.02e+00 1.666377017e+02 1.666377663e+02 1.5e-11 1.44
42 2.3e-08 1.1e-02 1.6e-06 9.89e-01 1.666377061e+02 1.666377643e+02 1.4e-11 1.47
43 2.1e-08 1.0e-02 1.4e-06 1.00e+00 1.666377101e+02 1.666377624e+02 1.2e-11 1.51
44 1.9e-08 1.0e-02 1.3e-06 9.78e-01 1.666377136e+02 1.666377608e+02 1.1e-11 1.54
45 1.7e-08 9.1e-03 1.1e-06 1.05e+00 1.666377175e+02 1.666377589e+02 1.0e-11 1.57
46 1.5e-08 8.9e-03 1.0e-06 1.00e+00 1.666377203e+02 1.666377576e+02 9.2e-12 1.61
47 1.4e-08 8.7e-03 9.3e-07 9.73e-01 1.666377228e+02 1.666377564e+02 8.3e-12 1.64
48 1.2e-08 7.9e-03 8.4e-07 1.01e+00 1.666377252e+02 1.666377553e+02 7.5e-12 1.68
49 1.1e-08 7.1e-03 7.5e-07 1.01e+00 1.666377274e+02 1.666377543e+02 6.8e-12 1.71
50 9.9e-09 6.4e-03 6.8e-07 1.05e+00 1.666377297e+02 1.666377532e+02 6.3e-12 1.74
51 8.9e-09 5.7e-03 6.1e-07 9.75e-01 1.666377313e+02 1.666377524e+02 5.7e-12 1.78
52 8.0e-09 5.2e-03 5.5e-07 9.70e-01 1.666377327e+02 1.666377518e+02 5.1e-12 1.81
53 7.2e-09 4.6e-03 4.9e-07 9.60e-01 1.666377340e+02 1.666377512e+02 4.6e-12 1.85
54 6.5e-09 4.2e-03 4.5e-07 1.01e+00 1.666377352e+02 1.666377506e+02 4.1e-12 1.88
55 3.5e-09 2.4e-04 2.6e-08 9.00e-01 1.666377454e+02 1.666377463e+02 4.2e-13 1.91
Interior-point optimizer terminated. Time: 1.92.
Optimizer terminated. Time: 1.94
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774536e+02 Viol. con: 8e-08 var: 0e+00
Dual. obj: 1.6663774631e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.96 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : 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 -1.286106757e+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 3.580364832e+00 4.8e-01 0.12
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.203332258e+05 1.010636768e+01 1.9e-01 0.15
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.156664722e+05 6.247805422e+01 1.3e-01 0.18
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.130152818e+05 2.295884559e+03 1.3e-01 0.21
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.379604291e+04 9.860980957e+03 3.2e-02 0.25
6 3.6e+01 4.6e+01 2.0e+03 -1.80e-01 -4.641913971e+04 1.009611505e+04 1.6e-02 0.28
7 2.1e+01 2.7e+01 1.2e+03 2.91e-01 -3.097467943e+04 6.886212881e+03 9.2e-03 0.30
8 1.2e+01 1.6e+01 6.8e+02 5.65e-01 -1.945487308e+04 4.491373350e+03 5.4e-03 0.34
9 4.7e+00 6.1e+00 2.6e+02 7.53e-01 -7.765155017e+03 2.180677372e+03 2.1e-03 0.37
10 2.3e+00 3.0e+00 1.3e+02 9.26e-01 -3.530374247e+03 1.395530029e+03 1.0e-03 0.40
11 1.5e+00 1.9e+00 8.5e+01 9.77e-01 -2.301318284e+03 9.721202402e+02 6.7e-04 0.43
12 8.5e-01 1.1e+00 4.8e+01 9.85e-01 -1.230530145e+03 6.224921280e+02 3.8e-04 0.47
13 7.5e-01 1.0e+00 4.2e+01 9.54e-01 -1.093831229e+03 5.630529554e+02 3.4e-04 0.49
14 3.7e-01 5.0e-01 2.1e+01 9.85e-01 -4.359003854e+02 3.737948093e+02 1.6e-04 0.53
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.440000120e+02 2.585349311e+02 8.2e-05 0.56
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 4.980093715e+00 2.043015030e+02 4.1e-05 0.60
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.398833629e+01 2.065699146e+02 4.0e-05 0.62
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 5.949226820e+01 1.948373500e+02 2.8e-05 0.66
19 3.0e-02 7.3e-02 1.7e+00 1.01e+00 1.152797988e+02 1.809927779e+02 1.4e-05 0.69
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.525612406e+02 1.716191987e+02 4.0e-06 0.72
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622330941e+02 1.679611406e+02 1.2e-06 0.75
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639702650e+02 1.674409716e+02 7.3e-07 0.78
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656550173e+02 1.668671102e+02 2.6e-07 0.80
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661959803e+02 1.666660327e+02 1.0e-07 0.84
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662326089e+02 1.666555346e+02 9.2e-08 0.87
26 1.6e-04 7.9e-02 1.0e-02 1.01e+00 1.662628637e+02 1.666433548e+02 8.3e-08 0.90
27 1.4e-04 7.2e-02 9.0e-03 1.01e+00 1.662902745e+02 1.666326036e+02 7.5e-08 0.94
28 1.3e-04 6.6e-02 8.1e-03 1.01e+00 1.663148182e+02 1.666228208e+02 6.7e-08 0.98
29 1.2e-04 6.0e-02 7.3e-03 1.01e+00 1.663368446e+02 1.666139699e+02 6.0e-08 1.01
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663566062e+02 1.666059555e+02 5.4e-08 1.04
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663743377e+02 1.665987001e+02 4.9e-08 1.07
32 8.5e-05 4.6e-02 5.3e-03 1.01e+00 1.663902483e+02 1.665921322e+02 4.4e-08 1.10
33 7.6e-05 4.2e-02 4.8e-03 1.01e+00 1.664045262e+02 1.665861873e+02 4.0e-08 1.13
34 6.9e-05 3.8e-02 4.3e-03 1.01e+00 1.664173402e+02 1.665808072e+02 3.6e-08 1.16
35 6.2e-05 3.5e-02 3.9e-03 1.01e+00 1.664288416e+02 1.665759392e+02 3.2e-08 1.20
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664391659e+02 1.665715356e+02 2.9e-08 1.24
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664484346e+02 1.665675527e+02 2.6e-08 1.27
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664567567e+02 1.665639513e+02 2.3e-08 1.30
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664642296e+02 1.665606954e+02 2.1e-08 1.33
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664709406e+02 1.665577524e+02 1.9e-08 1.35
41 3.3e-05 2.2e-02 2.1e-03 1.00e+00 1.664769682e+02 1.665550928e+02 1.7e-08 1.39
42 2.9e-05 2.1e-02 1.9e-03 1.00e+00 1.664823823e+02 1.665526898e+02 1.5e-08 1.42
43 2.7e-05 2.0e-02 1.7e-03 1.00e+00 1.664872460e+02 1.665505191e+02 1.4e-08 1.45
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664916156e+02 1.665485585e+02 1.2e-08 1.48
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664955417e+02 1.665467882e+02 1.1e-08 1.52
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664990698e+02 1.665451898e+02 1.0e-08 1.55
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665022404e+02 1.665437471e+02 9.1e-09 1.58
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665050902e+02 1.665424452e+02 8.2e-09 1.62
49 1.4e-05 1.4e-02 8.9e-04 1.00e+00 1.665076518e+02 1.665412706e+02 7.4e-09 1.65
50 1.3e-05 1.3e-02 8.0e-04 1.00e+00 1.665099547e+02 1.665402111e+02 6.6e-09 1.68
51 1.1e-05 1.3e-02 7.2e-04 1.00e+00 1.665120252e+02 1.665392556e+02 6.0e-09 1.72
52 1.0e-05 1.2e-02 6.5e-04 1.00e+00 1.665138870e+02 1.665383940e+02 5.4e-09 1.75
53 9.3e-06 1.2e-02 5.8e-04 1.00e+00 1.665155612e+02 1.665376174e+02 4.8e-09 1.79
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665170669e+02 1.665369174e+02 4.4e-09 1.82
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665184211e+02 1.665362865e+02 3.9e-09 1.86
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665196392e+02 1.665357180e+02 3.5e-09 1.89
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665207349e+02 1.665352058e+02 3.2e-09 1.92
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217204e+02 1.665347442e+02 2.9e-09 1.96
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226070e+02 1.665343285e+02 2.6e-09 1.99
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234044e+02 1.665339538e+02 2.3e-09 2.02
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241217e+02 1.665336162e+02 2.1e-09 2.05
62 3.6e-06 9.5e-03 2.3e-04 1.00e+00 1.665247670e+02 1.665333120e+02 1.9e-09 2.09
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253473e+02 1.665330379e+02 1.7e-09 2.12
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665258693e+02 1.665327909e+02 1.5e-09 2.16
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263387e+02 1.665325683e+02 1.4e-09 2.19
66 2.4e-06 9.0e-03 1.5e-04 1.00e+00 1.665267611e+02 1.665323677e+02 1.2e-09 2.23
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271410e+02 1.665321869e+02 1.1e-09 2.26
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665274827e+02 1.665320241e+02 1.0e-09 2.29
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665277902e+02 1.665318775e+02 9.0e-10 2.33
70 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.665280668e+02 1.665317454e+02 8.1e-10 2.36
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283156e+02 1.665316264e+02 7.3e-10 2.39
72 1.3e-06 8.5e-03 7.9e-05 1.00e+00 1.665285395e+02 1.665315192e+02 6.5e-10 2.43
73 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.665287408e+02 1.665314226e+02 5.9e-10 2.46
74 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.665289220e+02 1.665313356e+02 5.3e-10 2.50
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290849e+02 1.665312571e+02 4.8e-10 2.53
76 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.665292315e+02 1.665311865e+02 4.3e-10 2.56
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293633e+02 1.665311228e+02 3.9e-10 2.59
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294819e+02 1.665310654e+02 3.5e-10 2.62
79 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.665295885e+02 1.665310137e+02 3.1e-10 2.65
80 5.4e-07 8.2e-03 3.4e-05 9.99e-01 1.665296844e+02 1.665309671e+02 2.8e-10 2.69
81 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.665297706e+02 1.665309251e+02 2.5e-10 2.72
82 4.4e-07 8.1e-03 2.7e-05 9.99e-01 1.665298482e+02 1.665308872e+02 2.3e-10 2.75
83 3.9e-07 8.1e-03 2.5e-05 9.99e-01 1.665299179e+02 1.665308531e+02 2.1e-10 2.78
84 3.5e-07 8.0e-03 2.2e-05 9.99e-01 1.665299806e+02 1.665308223e+02 1.8e-10 2.81
85 3.2e-07 8.0e-03 2.0e-05 9.98e-01 1.665300370e+02 1.665307946e+02 1.7e-10 2.84
86 2.9e-07 8.0e-03 1.8e-05 9.99e-01 1.665300877e+02 1.665307696e+02 1.5e-10 2.87
87 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.665301333e+02 1.665307471e+02 1.3e-10 2.90
88 2.3e-07 7.9e-03 1.5e-05 1.00e+00 1.665301744e+02 1.665307267e+02 1.2e-10 2.93
89 2.1e-07 7.9e-03 1.3e-05 9.99e-01 1.665302113e+02 1.665307084e+02 1.1e-10 2.96
90 1.9e-07 7.9e-03 1.2e-05 9.99e-01 1.665302445e+02 1.665306920e+02 9.8e-11 3.00
91 1.7e-07 7.1e-03 1.1e-05 1.01e+00 1.665302747e+02 1.665306769e+02 8.9e-11 3.03
92 1.5e-07 6.4e-03 9.6e-06 1.00e+00 1.665303015e+02 1.665306635e+02 8.0e-11 3.07
93 1.4e-07 5.8e-03 8.6e-06 1.00e+00 1.665303258e+02 1.665306514e+02 7.2e-11 3.10
94 1.2e-07 5.2e-03 7.7e-06 9.99e-01 1.665303475e+02 1.665306406e+02 6.5e-11 3.13
95 1.1e-07 4.7e-03 7.0e-06 1.01e+00 1.665303673e+02 1.665306307e+02 5.8e-11 3.16
96 1.0e-07 4.2e-03 6.3e-06 9.93e-01 1.665303848e+02 1.665306220e+02 5.2e-11 3.19
97 9.0e-08 3.8e-03 5.6e-06 9.99e-01 1.665304007e+02 1.665306141e+02 4.7e-11 3.22
98 8.1e-08 3.4e-03 5.1e-06 9.92e-01 1.665304149e+02 1.665306071e+02 4.2e-11 3.25
99 7.3e-08 3.1e-03 4.6e-06 1.00e+00 1.665304278e+02 1.665306006e+02 3.8e-11 3.28
100 6.5e-08 2.8e-03 4.1e-06 1.00e+00 1.665304394e+02 1.665305948e+02 3.4e-11 3.32
101 5.9e-08 2.5e-03 3.7e-06 1.00e+00 1.665304497e+02 1.665305896e+02 3.1e-11 3.35
102 5.3e-08 2.2e-03 3.3e-06 1.01e+00 1.665304592e+02 1.665305849e+02 2.8e-11 3.37
103 4.8e-08 2.0e-03 3.0e-06 9.94e-01 1.665304676e+02 1.665305807e+02 2.5e-11 3.41
104 4.3e-08 1.8e-03 2.7e-06 9.88e-01 1.665304751e+02 1.665305770e+02 2.3e-11 3.44
105 3.9e-08 1.6e-03 2.4e-06 1.01e+00 1.665304820e+02 1.665305735e+02 2.0e-11 3.47
106 3.5e-08 1.5e-03 2.2e-06 1.00e+00 1.665304881e+02 1.665305704e+02 1.8e-11 3.50
107 3.1e-08 1.3e-03 2.0e-06 9.97e-01 1.665304936e+02 1.665305677e+02 1.7e-11 3.53
108 2.8e-08 1.2e-03 1.8e-06 1.02e+00 1.665304988e+02 1.665305650e+02 1.5e-11 3.57
109 2.5e-08 1.1e-03 1.6e-06 9.86e-01 1.665305033e+02 1.665305628e+02 1.3e-11 3.59
110 2.3e-08 9.6e-04 1.4e-06 1.02e+00 1.665305075e+02 1.665305607e+02 1.2e-11 3.62
111 2.1e-08 8.6e-04 1.3e-06 1.03e+00 1.665305115e+02 1.665305586e+02 1.1e-11 3.66
112 1.9e-08 7.8e-04 1.2e-06 9.73e-01 1.665305146e+02 1.665305571e+02 1.0e-11 3.69
113 1.7e-08 7.0e-04 1.0e-06 1.04e+00 1.665305180e+02 1.665305554e+02 9.2e-12 3.72
114 1.5e-08 6.3e-04 9.4e-07 9.69e-01 1.665305204e+02 1.665305542e+02 8.3e-12 3.75
115 1.3e-08 5.7e-04 8.5e-07 9.72e-01 1.665305227e+02 1.665305531e+02 7.4e-12 3.78
116 1.2e-08 5.1e-04 7.6e-07 1.03e+00 1.665305250e+02 1.665305519e+02 6.8e-12 3.81
117 1.1e-08 4.6e-04 6.9e-07 1.04e+00 1.665305271e+02 1.665305508e+02 6.2e-12 3.84
118 9.9e-09 4.1e-04 6.2e-07 1.01e+00 1.665305288e+02 1.665305500e+02 5.6e-12 3.86
119 8.9e-09 3.7e-04 5.6e-07 9.04e-01 1.665305302e+02 1.665305494e+02 5.1e-12 3.89
120 8.1e-09 3.3e-04 5.0e-07 9.85e-01 1.665305314e+02 1.665305487e+02 4.6e-12 3.92
121 7.3e-09 3.0e-04 4.5e-07 9.85e-01 1.665305326e+02 1.665305482e+02 4.1e-12 3.95
122 6.6e-09 2.7e-04 4.1e-07 1.04e+00 1.665305338e+02 1.665305475e+02 3.8e-12 3.99
123 5.9e-09 2.4e-04 3.6e-07 1.04e+00 1.665305349e+02 1.665305470e+02 3.5e-12 4.02
124 5.4e-09 2.2e-04 3.3e-07 1.26e+00 1.665305357e+02 1.665305465e+02 3.1e-12 4.05
125 4.8e-09 2.0e-04 3.0e-07 8.65e-01 1.665305364e+02 1.665305462e+02 2.8e-12 4.08
126 4.5e-09 1.8e-04 2.7e-07 1.09e+00 1.665305374e+02 1.665305457e+02 2.6e-12 4.11
127 4.0e-09 1.6e-04 2.4e-07 9.01e-01 1.665305379e+02 1.665305454e+02 2.4e-12 4.15
128 3.7e-09 1.4e-04 2.2e-07 1.35e+00 1.665305384e+02 1.665305451e+02 2.1e-12 4.18
129 3.3e-09 1.3e-04 1.9e-07 9.44e-01 1.665305389e+02 1.665305449e+02 1.9e-12 4.21
130 6.0e-10 1.3e-05 2.0e-08 9.89e-01 1.665305425e+02 1.665305432e+02 2.1e-13 4.24
Interior-point optimizer terminated. Time: 4.25.
Optimizer terminated. Time: 4.27
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054255e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.6653054317e+02 Viol. con: 0e+00 var: 7e-05
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.3 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 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 : 0.05 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 -1.286069771e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264280195e+05 3.575761956e+00 4.8e-01 0.13
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.202642636e+05 1.018055629e+01 1.9e-01 0.17
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.155864707e+05 6.348050947e+01 1.2e-01 0.20
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.129604577e+05 2.275516277e+03 1.2e-01 0.23
5 7.5e+01 9.6e+01 4.2e+03 -7.53e-01 -7.467564110e+04 9.661828969e+03 3.3e-02 0.27
6 3.3e+01 4.2e+01 1.8e+03 -1.93e-01 -4.344555710e+04 1.030574545e+04 1.4e-02 0.31
7 1.9e+01 2.5e+01 1.1e+03 3.43e-01 -2.866889240e+04 6.921959994e+03 8.5e-03 0.34
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.820598059e+04 4.395201532e+03 5.0e-03 0.38
9 4.5e+00 5.8e+00 2.5e+02 7.73e-01 -7.371167443e+03 2.103308991e+03 2.0e-03 0.41
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.214986984e+03 1.325822162e+03 9.3e-04 0.45
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.014765743e+03 8.899272242e+02 6.0e-04 0.49
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.165868959e+03 6.060218937e+02 3.6e-04 0.53
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.120469113e+02 5.060733827e+02 2.9e-04 0.56
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.191572225e+02 3.802512544e+02 1.6e-04 0.60
15 1.8e-01 2.4e-01 1.0e+01 9.93e-01 -1.346803581e+02 2.582571810e+02 8.0e-05 0.63
16 7.9e-02 1.4e-01 4.6e+00 1.01e+00 2.126842984e+01 1.996178224e+02 3.7e-05 0.67
17 6.8e-02 1.2e-01 3.9e+00 1.02e+00 4.474521198e+01 1.978716598e+02 3.2e-05 0.70
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.178051702e+02 1.806432855e+02 1.3e-05 0.73
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.531912395e+02 1.714401446e+02 3.8e-06 0.77
20 2.9e-03 2.3e-01 1.7e-01 1.00e+00 1.613910946e+02 1.680582304e+02 1.4e-06 0.80
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635874073e+02 1.674597143e+02 8.2e-07 0.83
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656228532e+02 1.668056693e+02 2.5e-07 0.88
23 1.9e-04 1.0e-01 1.2e-02 1.01e+00 1.661602754e+02 1.666050930e+02 9.7e-08 0.91
24 8.5e-05 8.7e-02 5.4e-03 1.01e+00 1.663313773e+02 1.665357262e+02 4.5e-08 0.93
25 3.9e-05 7.9e-02 2.5e-03 1.01e+00 1.664099224e+02 1.665032822e+02 2.1e-08 0.97
26 3.5e-05 7.2e-02 2.2e-03 1.01e+00 1.664180595e+02 1.665021076e+02 1.9e-08 1.00
27 3.1e-05 6.6e-02 2.0e-03 1.01e+00 1.664237705e+02 1.664993849e+02 1.7e-08 1.04
28 2.8e-05 6.0e-02 1.8e-03 1.01e+00 1.664290386e+02 1.664970771e+02 1.5e-08 1.07
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664337521e+02 1.664949740e+02 1.4e-08 1.10
30 2.3e-05 5.0e-02 1.5e-03 1.01e+00 1.664379890e+02 1.664930785e+02 1.2e-08 1.13
31 2.1e-05 4.6e-02 1.3e-03 1.00e+00 1.664417946e+02 1.664913667e+02 1.1e-08 1.17
32 1.8e-05 4.2e-02 1.2e-03 1.00e+00 1.664452137e+02 1.664898219e+02 1.0e-08 1.20
33 1.7e-05 3.9e-02 1.1e-03 1.00e+00 1.664482859e+02 1.664884277e+02 9.0e-09 1.23
34 1.5e-05 3.6e-02 9.6e-04 1.00e+00 1.664510467e+02 1.664871698e+02 8.1e-09 1.26
35 1.3e-05 3.3e-02 8.6e-04 1.00e+00 1.664535280e+02 1.664860351e+02 7.3e-09 1.29
36 1.2e-05 3.0e-02 7.8e-04 1.00e+00 1.664557582e+02 1.664850117e+02 6.5e-09 1.32
37 1.1e-05 2.8e-02 7.0e-04 1.00e+00 1.664577630e+02 1.664840887e+02 5.9e-09 1.35
38 9.8e-06 2.6e-02 6.3e-04 1.00e+00 1.664595653e+02 1.664832566e+02 5.3e-09 1.37
39 8.8e-06 2.4e-02 5.7e-04 1.00e+00 1.664611858e+02 1.664825065e+02 4.8e-09 1.40
40 8.0e-06 2.3e-02 5.1e-04 1.00e+00 1.664626429e+02 1.664818303e+02 4.3e-09 1.43
41 7.2e-06 2.1e-02 4.6e-04 1.00e+00 1.664639533e+02 1.664812209e+02 3.9e-09 1.47
42 6.4e-06 2.0e-02 4.1e-04 1.00e+00 1.664651318e+02 1.664806719e+02 3.5e-09 1.50
43 5.8e-06 1.9e-02 3.7e-04 1.00e+00 1.664661917e+02 1.664801772e+02 3.1e-09 1.54
44 5.2e-06 1.7e-02 3.3e-04 1.00e+00 1.664671450e+02 1.664797316e+02 2.8e-09 1.57
45 4.7e-06 1.6e-02 3.0e-04 1.00e+00 1.664680026e+02 1.664793301e+02 2.5e-09 1.60
46 4.2e-06 1.6e-02 2.7e-04 1.00e+00 1.664687741e+02 1.664789685e+02 2.3e-09 1.63
47 3.8e-06 1.5e-02 2.4e-04 1.00e+00 1.664694680e+02 1.664786427e+02 2.1e-09 1.66
48 3.4e-06 1.4e-02 2.2e-04 1.00e+00 1.664700923e+02 1.664783493e+02 1.8e-09 1.70
49 3.1e-06 1.3e-02 2.0e-04 1.00e+00 1.664706538e+02 1.664780850e+02 1.7e-09 1.73
50 2.8e-06 1.3e-02 1.8e-04 1.00e+00 1.664711590e+02 1.664778470e+02 1.5e-09 1.77
51 2.5e-06 1.2e-02 1.6e-04 1.00e+00 1.664716135e+02 1.664776327e+02 1.3e-09 1.79
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664720225e+02 1.664774397e+02 1.2e-09 1.82
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664723905e+02 1.664772660e+02 1.1e-09 1.85
54 1.8e-06 1.1e-02 1.2e-04 1.00e+00 1.664727217e+02 1.664771096e+02 9.8e-10 1.89
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664730197e+02 1.664769688e+02 8.8e-10 1.92
56 1.5e-06 1.0e-02 9.4e-05 1.00e+00 1.664732879e+02 1.664768421e+02 8.0e-10 1.95
57 1.3e-06 1.0e-02 8.5e-05 1.00e+00 1.664735293e+02 1.664767280e+02 7.2e-10 1.98
58 1.2e-06 9.9e-03 7.6e-05 1.00e+00 1.664737465e+02 1.664766253e+02 6.5e-10 2.01
59 1.1e-06 9.6e-03 6.9e-05 1.00e+00 1.664739420e+02 1.664765329e+02 5.8e-10 2.04
60 9.7e-07 9.4e-03 6.2e-05 1.00e+00 1.664741179e+02 1.664764497e+02 5.2e-10 2.07
61 8.7e-07 9.2e-03 5.6e-05 1.00e+00 1.664742762e+02 1.664763748e+02 4.7e-10 2.10
62 7.8e-07 9.1e-03 5.0e-05 1.00e+00 1.664744186e+02 1.664763074e+02 4.2e-10 2.14
63 7.1e-07 8.9e-03 4.5e-05 1.00e+00 1.664745468e+02 1.664762467e+02 3.8e-10 2.17
64 6.3e-07 8.8e-03 4.1e-05 1.00e+00 1.664746621e+02 1.664761920e+02 3.4e-10 2.20
65 5.7e-07 8.7e-03 3.7e-05 1.00e+00 1.664747659e+02 1.664761427e+02 3.1e-10 2.23
66 5.1e-07 8.6e-03 3.3e-05 1.00e+00 1.664748592e+02 1.664760984e+02 2.8e-10 2.26
67 4.6e-07 8.5e-03 3.0e-05 1.00e+00 1.664749431e+02 1.664760584e+02 2.5e-10 2.29
68 4.2e-07 8.4e-03 2.7e-05 1.00e+00 1.664750187e+02 1.664760224e+02 2.2e-10 2.32
69 3.7e-07 8.3e-03 2.4e-05 1.00e+00 1.664750866e+02 1.664759899e+02 2.0e-10 2.35
70 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664751477e+02 1.664759607e+02 1.8e-10 2.38
71 3.0e-07 8.2e-03 1.9e-05 1.00e+00 1.664752027e+02 1.664759344e+02 1.6e-10 2.41
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752521e+02 1.664759106e+02 1.5e-10 2.45
73 2.5e-07 8.1e-03 1.6e-05 9.99e-01 1.664752966e+02 1.664758893e+02 1.3e-10 2.48
74 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664753366e+02 1.664758701e+02 1.2e-10 2.50
75 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664753727e+02 1.664758528e+02 1.1e-10 2.53
76 1.8e-07 7.9e-03 1.1e-05 9.99e-01 1.664754051e+02 1.664758372e+02 9.7e-11 2.57
77 1.6e-07 7.9e-03 1.0e-05 9.97e-01 1.664754342e+02 1.664758232e+02 8.7e-11 2.60
78 1.5e-07 7.8e-03 9.3e-06 1.00e+00 1.664754605e+02 1.664758105e+02 7.8e-11 2.63
79 1.3e-07 7.8e-03 8.4e-06 1.00e+00 1.664754843e+02 1.664757990e+02 7.1e-11 2.66
80 1.2e-07 7.8e-03 7.5e-06 1.00e+00 1.664755056e+02 1.664757887e+02 6.4e-11 2.69
81 1.1e-07 7.8e-03 6.8e-06 1.00e+00 1.664755247e+02 1.664757795e+02 5.7e-11 2.72
82 9.5e-08 7.7e-03 6.1e-06 1.00e+00 1.664755418e+02 1.664757712e+02 5.2e-11 2.75
83 8.6e-08 7.7e-03 5.5e-06 1.00e+00 1.664755574e+02 1.664757637e+02 4.6e-11 2.79
84 7.7e-08 7.7e-03 4.9e-06 9.95e-01 1.664755713e+02 1.664757570e+02 4.2e-11 2.81
85 6.9e-08 6.9e-03 4.4e-06 1.00e+00 1.664755839e+02 1.664757509e+02 3.8e-11 2.84
86 6.3e-08 6.2e-03 4.0e-06 9.96e-01 1.664755952e+02 1.664757455e+02 3.4e-11 2.87
87 5.6e-08 5.6e-03 3.6e-06 1.00e+00 1.664756054e+02 1.664757405e+02 3.0e-11 2.91
88 5.1e-08 5.0e-03 3.2e-06 1.00e+00 1.664756146e+02 1.664757361e+02 2.7e-11 2.93
89 4.6e-08 4.5e-03 2.9e-06 9.97e-01 1.664756227e+02 1.664757321e+02 2.5e-11 2.96
90 4.1e-08 4.1e-03 2.6e-06 1.01e+00 1.664756305e+02 1.664757283e+02 2.2e-11 2.99
91 3.7e-08 3.7e-03 2.4e-06 1.01e+00 1.664756374e+02 1.664757250e+02 2.0e-11 3.03
92 3.3e-08 3.3e-03 2.1e-06 9.87e-01 1.664756433e+02 1.664757222e+02 1.8e-11 3.06
93 3.0e-08 3.0e-03 1.9e-06 9.86e-01 1.664756486e+02 1.664757196e+02 1.6e-11 3.08
94 2.7e-08 2.7e-03 1.7e-06 1.02e+00 1.664756538e+02 1.664757171e+02 1.5e-11 3.11
95 2.4e-08 2.4e-03 1.6e-06 9.89e-01 1.664756581e+02 1.664757150e+02 1.3e-11 3.14
96 2.2e-08 2.2e-03 1.4e-06 9.98e-01 1.664756619e+02 1.664757132e+02 1.2e-11 3.17
97 2.0e-08 2.0e-03 1.3e-06 1.03e+00 1.664756658e+02 1.664757113e+02 1.1e-11 3.20
98 1.8e-08 1.8e-03 1.1e-06 1.00e+00 1.664756688e+02 1.664757098e+02 9.9e-12 3.23
99 1.6e-08 1.6e-03 1.0e-06 1.02e+00 1.664756719e+02 1.664757083e+02 9.0e-12 3.26
100 1.4e-08 1.4e-03 9.2e-07 9.75e-01 1.664756743e+02 1.664757072e+02 8.1e-12 3.29
101 1.3e-08 1.3e-03 8.2e-07 1.05e+00 1.664756771e+02 1.664757058e+02 7.5e-12 3.32
102 1.2e-08 1.2e-03 7.4e-07 1.07e+00 1.664756797e+02 1.664757045e+02 7.0e-12 3.35
103 1.0e-08 1.0e-03 6.7e-07 1.00e+00 1.664756813e+02 1.664757037e+02 6.3e-12 3.38
104 3.7e-09 1.1e-04 6.9e-08 9.40e-01 1.664756951e+02 1.664756975e+02 8.0e-13 3.41
Interior-point optimizer terminated. Time: 3.42.
Optimizer terminated. Time: 3.44
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569511e+02 Viol. con: 7e-08 var: 0e+00
Dual. obj: 1.6647569748e+02 Viol. con: 0e+00 var: 7e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.47 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 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 : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285358129e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263542094e+05 3.574445820e+00 4.8e-01 0.21
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201588550e+05 1.021566649e+01 1.9e-01 0.24
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154718932e+05 6.399954821e+01 1.2e-01 0.27
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.128613781e+05 2.263785722e+03 1.2e-01 0.30
5 7.5e+01 9.7e+01 4.2e+03 -7.52e-01 -7.480733975e+04 9.600147430e+03 3.3e-02 0.33
6 3.0e+01 3.9e+01 1.7e+03 -1.96e-01 -4.068256306e+04 1.026881173e+04 1.3e-02 0.36
7 1.8e+01 2.3e+01 1.0e+03 3.91e-01 -2.712660911e+04 6.680871669e+03 7.9e-03 0.39
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.569363317e+04 3.889216627e+03 4.3e-03 0.42
9 3.9e+00 5.0e+00 2.2e+02 8.12e-01 -6.429961899e+03 1.893872954e+03 1.7e-03 0.45
10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.286677384e+03 1.204166016e+03 9.2e-04 0.48
11 1.0e+00 1.3e+00 5.9e+01 9.80e-01 -1.544941636e+03 7.355115732e+02 4.7e-04 0.51
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.184100894e+03 6.013206073e+02 3.6e-04 0.54
13 4.8e-01 6.2e-01 2.7e+01 9.74e-01 -6.380948864e+02 4.207592033e+02 2.1e-04 0.57
14 2.6e-01 3.6e-01 1.5e+01 1.00e+00 -2.718755243e+02 3.084913155e+02 1.2e-04 0.60
15 9.7e-02 1.5e-01 5.5e+00 1.00e+00 -1.010196696e+01 2.072399675e+02 4.5e-05 0.64
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.582470402e+01 2.085964178e+02 4.0e-05 0.67
17 5.3e-02 8.8e-02 3.1e+00 1.02e+00 7.252769411e+01 1.918881325e+02 2.5e-05 0.71
18 2.3e-02 6.9e-02 1.3e+00 1.02e+00 1.266647501e+02 1.778068317e+02 1.1e-05 0.74
19 6.2e-03 2.3e-01 3.7e-01 1.01e+00 1.562527617e+02 1.702800283e+02 2.9e-06 0.78
20 3.1e-03 3.1e-01 1.8e-01 1.00e+00 1.610358782e+02 1.681101357e+02 1.5e-06 0.81
21 1.6e-03 1.7e-01 9.8e-02 1.01e+00 1.636142599e+02 1.673814405e+02 8.0e-07 0.84
22 4.9e-04 1.4e-01 3.0e-02 1.01e+00 1.656242377e+02 1.667725444e+02 2.5e-07 0.87
23 3.1e-04 1.1e-01 1.9e-02 9.98e-01 1.659258377e+02 1.666521489e+02 1.6e-07 0.90
24 1.9e-04 7.7e-02 1.2e-02 9.85e-01 1.661267123e+02 1.665737827e+02 9.7e-08 0.93
25 1.7e-04 6.6e-02 1.0e-02 9.99e-01 1.661696316e+02 1.665612835e+02 8.5e-08 0.97
26 1.5e-04 6.0e-02 9.3e-03 1.01e+00 1.661982511e+02 1.665504954e+02 7.7e-08 1.00
27 1.3e-04 5.5e-02 8.4e-03 1.01e+00 1.662230705e+02 1.665399627e+02 6.9e-08 1.03
28 1.2e-04 5.0e-02 7.5e-03 1.01e+00 1.662455477e+02 1.665306828e+02 6.2e-08 1.06
29 1.1e-04 4.6e-02 6.8e-03 1.01e+00 1.662656851e+02 1.665222506e+02 5.6e-08 1.09
30 9.8e-05 4.2e-02 6.1e-03 1.01e+00 1.662837599e+02 1.665146235e+02 5.1e-08 1.13
31 8.8e-05 3.8e-02 5.5e-03 1.01e+00 1.662999792e+02 1.665077197e+02 4.5e-08 1.16
32 7.9e-05 3.5e-02 4.9e-03 1.01e+00 1.663145351e+02 1.665014718e+02 4.1e-08 1.19
33 7.1e-05 3.3e-02 4.4e-03 1.00e+00 1.663275988e+02 1.664958179e+02 3.7e-08 1.22
34 6.4e-05 3.0e-02 4.0e-03 1.00e+00 1.663393242e+02 1.664907022e+02 3.3e-08 1.25
35 5.8e-05 2.8e-02 3.6e-03 1.00e+00 1.663498494e+02 1.664860742e+02 3.0e-08 1.28
36 5.2e-05 2.6e-02 3.2e-03 1.00e+00 1.663592981e+02 1.664818881e+02 2.7e-08 1.32
37 4.7e-05 2.4e-02 2.9e-03 1.00e+00 1.663677814e+02 1.664781027e+02 2.4e-08 1.34
38 4.2e-05 2.2e-02 2.6e-03 1.00e+00 1.663753987e+02 1.664746802e+02 2.2e-08 1.37
39 3.8e-05 2.1e-02 2.4e-03 1.00e+00 1.663822392e+02 1.664715864e+02 2.0e-08 1.40
40 3.4e-05 1.9e-02 2.1e-03 1.00e+00 1.663883826e+02 1.664687903e+02 1.8e-08 1.42
41 3.1e-05 1.8e-02 1.9e-03 1.00e+00 1.663939005e+02 1.664662637e+02 1.6e-08 1.45
42 2.8e-05 1.7e-02 1.7e-03 1.00e+00 1.663988570e+02 1.664639810e+02 1.4e-08 1.48
43 2.5e-05 1.6e-02 1.6e-03 1.00e+00 1.664033096e+02 1.664619189e+02 1.3e-08 1.51
44 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664073097e+02 1.664600563e+02 1.2e-08 1.54
45 2.0e-05 1.5e-02 1.3e-03 1.00e+00 1.664109035e+02 1.664583741e+02 1.0e-08 1.57
46 1.8e-05 1.4e-02 1.1e-03 1.00e+00 1.664141326e+02 1.664568551e+02 9.4e-09 1.60
47 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664170341e+02 1.664554836e+02 8.4e-09 1.63
48 1.5e-05 1.3e-02 9.2e-04 1.00e+00 1.664196414e+02 1.664542454e+02 7.6e-09 1.66
49 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664219845e+02 1.664531277e+02 6.8e-09 1.69
50 1.2e-05 1.2e-02 7.4e-04 1.00e+00 1.664240904e+02 1.664521190e+02 6.2e-09 1.72
51 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.664259832e+02 1.664512087e+02 5.5e-09 1.75
52 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664276845e+02 1.664503873e+02 5.0e-09 1.78
53 8.6e-06 1.1e-02 5.4e-04 1.00e+00 1.664292138e+02 1.664496463e+02 4.5e-09 1.81
54 7.8e-06 1.0e-02 4.9e-04 1.00e+00 1.664305887e+02 1.664489779e+02 4.0e-09 1.85
55 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318247e+02 1.664483751e+02 3.6e-09 1.88
56 6.3e-06 9.9e-03 3.9e-04 1.00e+00 1.664329360e+02 1.664478314e+02 3.3e-09 1.90
57 5.7e-06 9.7e-03 3.5e-04 1.00e+00 1.664339352e+02 1.664473411e+02 2.9e-09 1.94
58 5.1e-06 9.6e-03 3.2e-04 1.00e+00 1.664348337e+02 1.664468991e+02 2.7e-09 1.96
59 4.6e-06 9.4e-03 2.9e-04 1.00e+00 1.664356416e+02 1.664465005e+02 2.4e-09 2.00
60 4.1e-06 9.2e-03 2.6e-04 1.00e+00 1.664363681e+02 1.664461412e+02 2.1e-09 2.03
61 3.7e-06 9.1e-03 2.3e-04 1.00e+00 1.664370214e+02 1.664458172e+02 1.9e-09 2.05
62 3.3e-06 9.0e-03 2.1e-04 1.00e+00 1.664376088e+02 1.664455251e+02 1.7e-09 2.08
63 3.0e-06 8.9e-03 1.9e-04 1.00e+00 1.664381370e+02 1.664452618e+02 1.6e-09 2.10
64 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386121e+02 1.664450245e+02 1.4e-09 2.13
65 2.4e-06 8.7e-03 1.5e-04 1.00e+00 1.664390394e+02 1.664448106e+02 1.3e-09 2.16
66 2.2e-06 8.6e-03 1.4e-04 1.00e+00 1.664394238e+02 1.664446179e+02 1.1e-09 2.19
67 2.0e-06 8.5e-03 1.2e-04 1.00e+00 1.664397695e+02 1.664444443e+02 1.0e-09 2.22
68 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400806e+02 1.664442879e+02 9.3e-10 2.25
69 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403604e+02 1.664441471e+02 8.3e-10 2.28
70 1.4e-06 8.3e-03 9.0e-05 1.00e+00 1.664406121e+02 1.664440202e+02 7.5e-10 2.31
71 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408386e+02 1.664439059e+02 6.7e-10 2.34
72 1.2e-06 8.2e-03 7.3e-05 1.00e+00 1.664410424e+02 1.664438030e+02 6.1e-10 2.37
73 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412257e+02 1.664437103e+02 5.5e-10 2.40
74 9.5e-07 8.1e-03 5.9e-05 1.00e+00 1.664413906e+02 1.664436268e+02 4.9e-10 2.43
75 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415390e+02 1.664435516e+02 4.4e-10 2.46
76 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416725e+02 1.664434838e+02 4.0e-10 2.49
77 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417926e+02 1.664434228e+02 3.6e-10 2.52
78 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419006e+02 1.664433678e+02 3.2e-10 2.55
79 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664419978e+02 1.664433183e+02 2.9e-10 2.58
80 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420853e+02 1.664432737e+02 2.6e-10 2.61
81 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421639e+02 1.664432335e+02 2.4e-10 2.64
82 4.1e-07 7.8e-03 2.5e-05 1.00e+00 1.664422347e+02 1.664431973e+02 2.1e-10 2.67
83 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422983e+02 1.664431646e+02 1.9e-10 2.70
84 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423556e+02 1.664431353e+02 1.7e-10 2.73
85 3.0e-07 7.7e-03 1.9e-05 9.99e-01 1.664424071e+02 1.664431089e+02 1.5e-10 2.76
86 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424535e+02 1.664430851e+02 1.4e-10 2.79
87 2.4e-07 7.7e-03 1.5e-05 9.99e-01 1.664424952e+02 1.664430637e+02 1.3e-10 2.83
88 2.2e-07 7.7e-03 1.4e-05 9.99e-01 1.664425328e+02 1.664430444e+02 1.1e-10 2.86
89 1.9e-07 7.6e-03 1.2e-05 1.00e+00 1.664425666e+02 1.664430270e+02 1.0e-10 2.89
90 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425970e+02 1.664430114e+02 9.1e-11 2.92
91 1.6e-07 7.6e-03 9.9e-06 9.99e-01 1.664426244e+02 1.664429974e+02 8.2e-11 2.95
92 1.4e-07 7.6e-03 8.9e-06 1.00e+00 1.664426490e+02 1.664429847e+02 7.4e-11 2.98
93 1.3e-07 7.6e-03 8.0e-06 1.00e+00 1.664426712e+02 1.664429733e+02 6.6e-11 3.02
94 1.2e-07 7.6e-03 7.2e-06 1.00e+00 1.664426912e+02 1.664429630e+02 6.0e-11 3.05
95 1.0e-07 7.6e-03 6.5e-06 1.00e+00 1.664427091e+02 1.664429538e+02 5.4e-11 3.08
96 9.3e-08 7.5e-03 5.8e-06 9.98e-01 1.664427253e+02 1.664429455e+02 4.8e-11 3.11
97 8.4e-08 7.5e-03 5.3e-06 9.98e-01 1.664427398e+02 1.664429381e+02 4.4e-11 3.14
98 7.5e-08 7.5e-03 4.7e-06 9.94e-01 1.664427529e+02 1.664429314e+02 3.9e-11 3.17
99 6.8e-08 7.5e-03 4.3e-06 9.97e-01 1.664427647e+02 1.664429254e+02 3.5e-11 3.20
100 6.1e-08 7.5e-03 3.8e-06 9.96e-01 1.664427753e+02 1.664429199e+02 3.2e-11 3.23
101 5.5e-08 7.5e-03 3.4e-06 9.96e-01 1.664427849e+02 1.664429150e+02 2.9e-11 3.26
102 5.0e-08 7.5e-03 3.1e-06 1.00e+00 1.664427935e+02 1.664429106e+02 2.6e-11 3.29
103 4.5e-08 7.4e-03 2.8e-06 9.96e-01 1.664428012e+02 1.664429067e+02 2.3e-11 3.32
104 4.0e-08 6.7e-03 2.5e-06 1.02e+00 1.664428087e+02 1.664429027e+02 2.1e-11 3.35
105 3.6e-08 6.0e-03 2.3e-06 9.94e-01 1.664428149e+02 1.664428996e+02 1.9e-11 3.38
106 3.2e-08 5.4e-03 2.0e-06 1.04e+00 1.664428215e+02 1.664428960e+02 1.7e-11 3.42
107 2.9e-08 4.9e-03 1.8e-06 1.02e+00 1.664428267e+02 1.664428933e+02 1.6e-11 3.45
108 2.6e-08 4.4e-03 1.6e-06 1.00e+00 1.664428311e+02 1.664428911e+02 1.4e-11 3.48
109 2.4e-08 4.0e-03 1.5e-06 1.02e+00 1.664428355e+02 1.664428888e+02 1.3e-11 3.51
110 2.1e-08 3.6e-03 1.3e-06 9.87e-01 1.664428390e+02 1.664428870e+02 1.2e-11 3.54
111 1.9e-08 3.2e-03 1.2e-06 9.71e-01 1.664428422e+02 1.664428855e+02 1.0e-11 3.56
112 1.7e-08 2.9e-03 1.1e-06 1.01e+00 1.664428452e+02 1.664428839e+02 9.4e-12 3.59
113 1.6e-08 2.6e-03 9.7e-07 1.10e+00 1.664428490e+02 1.664428818e+02 8.9e-12 3.63
114 1.4e-08 2.3e-03 8.8e-07 1.02e+00 1.664428514e+02 1.664428806e+02 8.1e-12 3.66
115 1.3e-08 2.1e-03 7.9e-07 1.03e+00 1.664428536e+02 1.664428794e+02 7.4e-12 3.69
116 1.2e-08 1.9e-03 7.1e-07 8.89e-01 1.664428553e+02 1.664428786e+02 6.7e-12 3.72
117 1.0e-08 1.7e-03 6.4e-07 8.82e-01 1.664428568e+02 1.664428779e+02 6.0e-12 3.75
118 9.4e-09 1.5e-03 5.7e-07 1.05e+00 1.664428586e+02 1.664428770e+02 5.5e-12 3.78
119 9.0e-09 1.4e-03 5.2e-07 1.16e+00 1.664428607e+02 1.664428757e+02 5.4e-12 3.81
120 8.5e-09 1.2e-03 4.7e-07 1.13e+00 1.664428623e+02 1.664428749e+02 5.2e-12 3.84
121 7.6e-09 1.1e-03 4.2e-07 9.22e-01 1.664428632e+02 1.664428745e+02 4.6e-12 3.87
122 6.8e-09 1.0e-03 3.8e-07 1.28e+00 1.664428639e+02 1.664428742e+02 4.2e-12 3.91
123 8.7e-09 9.0e-04 3.4e-07 8.17e-01 1.664428646e+02 1.664428740e+02 3.8e-12 3.94
124 8.3e-09 8.1e-04 3.1e-07 2.40e+00 1.664428650e+02 1.664428743e+02 3.4e-12 3.97
125 1.1e-08 7.3e-04 2.7e-07 7.90e-01 1.664428655e+02 1.664428741e+02 3.1e-12 4.00
126 9.8e-09 6.6e-04 2.5e-07 6.23e-01 1.664428661e+02 1.664428738e+02 2.8e-12 4.03
127 8.9e-09 5.9e-04 2.2e-07 1.24e+00 1.664428666e+02 1.664428735e+02 2.5e-12 4.07
128 9.0e-09 5.3e-04 2.0e-07 7.63e-01 1.664428670e+02 1.664428734e+02 2.2e-12 4.10
129 8.3e-09 4.8e-04 1.8e-07 8.02e-01 1.664428673e+02 1.664428732e+02 2.0e-12 4.13
130 7.4e-09 4.3e-04 1.6e-07 1.66e+00 1.664428677e+02 1.664428730e+02 1.8e-12 4.16
131 9.0e-09 3.9e-04 1.5e-07 8.29e-01 1.664428680e+02 1.664428729e+02 1.6e-12 4.19
132 8.0e-09 3.5e-04 1.3e-07 5.69e-01 1.664428683e+02 1.664428727e+02 1.5e-12 4.22
133 7.1e-09 3.2e-04 1.2e-07 1.24e+00 1.664428685e+02 1.664428724e+02 1.3e-12 4.26
134 1.2e-08 2.8e-04 1.4e-07 1.00e+00 1.664428677e+02 1.664428723e+02 1.2e-12 4.29
135 1.1e-08 2.6e-04 1.2e-07 4.45e-01 1.664428681e+02 1.664428720e+02 1.1e-12 4.32
136 1.6e-08 2.3e-04 1.1e-07 1.75e+00 1.664428684e+02 1.664428718e+02 9.5e-13 4.36
Interior-point optimizer terminated. Time: 4.37.
Optimizer terminated. Time: 4.40
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286843e+02 Viol. con: 5e-07 var: 0e+00
Dual. obj: 1.6644287179e+02 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.42 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 : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285340958e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263517277e+05 3.573621080e+00 4.8e-01 0.14
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201360072e+05 1.023272836e+01 1.8e-01 0.17
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154380573e+05 6.426643649e+01 1.2e-01 0.20
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.128348620e+05 2.258318271e+03 1.2e-01 0.23
5 7.5e+01 9.6e+01 4.1e+03 -7.52e-01 -7.471875770e+04 9.598264976e+03 3.3e-02 0.26
6 3.0e+01 3.9e+01 1.7e+03 -1.95e-01 -4.050835259e+04 1.020869261e+04 1.3e-02 0.29
7 1.8e+01 2.3e+01 1.0e+03 3.94e-01 -2.711079670e+04 6.648793629e+03 7.9e-03 0.32
8 9.5e+00 1.2e+01 5.3e+02 6.30e-01 -1.542140183e+04 3.834874199e+03 4.2e-03 0.35
9 3.6e+00 4.7e+00 2.0e+02 8.16e-01 -5.933701572e+03 1.798170435e+03 1.6e-03 0.38
10 2.0e+00 2.6e+00 1.1e+02 9.47e-01 -3.130696290e+03 1.194462788e+03 8.9e-04 0.41
11 8.4e-01 1.1e+00 4.7e+01 9.81e-01 -1.229432433e+03 6.158754851e+02 3.8e-04 0.44
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.213196003e+03 5.912527873e+02 3.7e-04 0.48
13 5.1e-01 6.6e-01 2.9e+01 9.72e-01 -7.067501101e+02 4.266798327e+02 2.3e-04 0.51
14 3.1e-01 4.2e-01 1.8e+01 1.00e+00 -3.527361072e+02 3.410986062e+02 1.4e-04 0.53
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.763035831e+01 2.143695732e+02 5.0e-05 0.56
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.135863675e+01 2.045406570e+02 3.8e-05 0.59
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.501630639e+01 1.868881278e+02 1.9e-05 0.62
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425025038e+02 1.741742457e+02 6.6e-06 0.65
19 6.2e-03 7.2e-02 3.6e-01 1.01e+00 1.557131800e+02 1.695763483e+02 2.9e-06 0.68
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638759448e+02 1.673862912e+02 7.4e-07 0.71
21 8.0e-04 1.1e-01 4.9e-02 9.78e-01 1.650622317e+02 1.669372920e+02 4.0e-07 0.74
22 2.4e-04 1.1e-01 1.6e-02 9.90e-01 1.660031660e+02 1.665978318e+02 1.3e-07 0.77
23 1.1e-04 8.9e-02 7.5e-03 1.01e+00 1.662212962e+02 1.665057527e+02 6.3e-08 0.80
24 4.7e-05 8.5e-02 3.1e-03 1.01e+00 1.663394229e+02 1.664571339e+02 2.6e-08 0.84
25 2.2e-05 7.7e-02 1.5e-03 1.01e+00 1.663835787e+02 1.664385511e+02 1.2e-08 0.86
26 2.0e-05 7.1e-02 1.3e-03 1.00e+00 1.663881971e+02 1.664377014e+02 1.1e-08 0.90
27 1.8e-05 6.4e-02 1.2e-03 1.01e+00 1.663915596e+02 1.664361004e+02 1.0e-08 0.93
28 1.6e-05 5.9e-02 1.1e-03 1.00e+00 1.663946471e+02 1.664347270e+02 9.0e-09 0.95
29 1.4e-05 5.4e-02 9.6e-04 1.00e+00 1.663974101e+02 1.664334758e+02 8.1e-09 0.99
30 1.3e-05 4.9e-02 8.6e-04 1.00e+00 1.663998947e+02 1.664323489e+02 7.3e-09 1.02
31 1.2e-05 4.5e-02 7.7e-04 1.00e+00 1.664021272e+02 1.664313319e+02 6.5e-09 1.05
32 1.0e-05 4.1e-02 7.0e-04 1.00e+00 1.664041337e+02 1.664304146e+02 5.9e-09 1.08
33 9.4e-06 3.8e-02 6.3e-04 1.00e+00 1.664059371e+02 1.664295872e+02 5.3e-09 1.11
34 8.5e-06 3.5e-02 5.6e-04 1.00e+00 1.664075581e+02 1.664288410e+02 4.8e-09 1.14
35 7.7e-06 3.2e-02 5.1e-04 1.00e+00 1.664090153e+02 1.664281681e+02 4.3e-09 1.16
36 6.9e-06 3.0e-02 4.6e-04 1.00e+00 1.664103253e+02 1.664275614e+02 3.9e-09 1.19
37 6.2e-06 2.8e-02 4.1e-04 1.00e+00 1.664115031e+02 1.664270145e+02 3.5e-09 1.22
38 5.6e-06 2.6e-02 3.7e-04 1.00e+00 1.664125621e+02 1.664265214e+02 3.1e-09 1.24
39 5.0e-06 2.4e-02 3.3e-04 1.00e+00 1.664135143e+02 1.664260770e+02 2.8e-09 1.27
40 4.5e-06 2.2e-02 3.0e-04 1.00e+00 1.664143706e+02 1.664256764e+02 2.5e-09 1.30
41 4.1e-06 2.1e-02 2.7e-04 1.00e+00 1.664151406e+02 1.664253153e+02 2.3e-09 1.33
42 3.7e-06 2.0e-02 2.4e-04 1.00e+00 1.664158330e+02 1.664249899e+02 2.1e-09 1.36
43 3.3e-06 1.8e-02 2.2e-04 1.00e+00 1.664164557e+02 1.664246966e+02 1.8e-09 1.39
44 3.0e-06 1.7e-02 2.0e-04 1.00e+00 1.664170157e+02 1.664244323e+02 1.7e-09 1.42
45 2.7e-06 1.6e-02 1.8e-04 1.00e+00 1.664175193e+02 1.664241940e+02 1.5e-09 1.45
46 2.4e-06 1.5e-02 1.6e-04 1.00e+00 1.664179723e+02 1.664239794e+02 1.3e-09 1.48
47 2.2e-06 1.5e-02 1.4e-04 1.00e+00 1.664183797e+02 1.664237860e+02 1.2e-09 1.51
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664187463e+02 1.664236119e+02 1.1e-09 1.54
49 1.8e-06 1.3e-02 1.2e-04 1.00e+00 1.664190761e+02 1.664234550e+02 9.8e-10 1.57
50 1.6e-06 1.3e-02 1.0e-04 1.00e+00 1.664193728e+02 1.664233138e+02 8.8e-10 1.60
51 1.4e-06 1.2e-02 9.4e-05 1.00e+00 1.664196397e+02 1.664231866e+02 8.0e-10 1.63
52 1.3e-06 1.2e-02 8.5e-05 1.00e+00 1.664198799e+02 1.664230721e+02 7.2e-10 1.66
53 1.1e-06 1.1e-02 7.6e-05 1.00e+00 1.664200959e+02 1.664229689e+02 6.4e-10 1.69
54 1.0e-06 1.1e-02 6.9e-05 1.00e+00 1.664202903e+02 1.664228760e+02 5.8e-10 1.72
55 9.3e-07 1.1e-02 6.2e-05 1.00e+00 1.664204652e+02 1.664227923e+02 5.2e-10 1.75
56 8.4e-07 1.0e-02 5.6e-05 1.00e+00 1.664206226e+02 1.664227169e+02 4.7e-10 1.78
57 7.5e-07 1.0e-02 5.0e-05 1.00e+00 1.664207641e+02 1.664226491e+02 4.2e-10 1.81
58 6.8e-07 9.9e-03 4.5e-05 1.00e+00 1.664208915e+02 1.664225880e+02 3.8e-10 1.85
59 6.1e-07 9.7e-03 4.1e-05 1.00e+00 1.664210061e+02 1.664225328e+02 3.4e-10 1.88
60 5.5e-07 9.5e-03 3.6e-05 1.00e+00 1.664211092e+02 1.664224831e+02 3.1e-10 1.90
61 4.9e-07 9.3e-03 3.3e-05 1.00e+00 1.664212019e+02 1.664224384e+02 2.8e-10 1.93
62 4.4e-07 9.1e-03 3.0e-05 1.00e+00 1.664212853e+02 1.664223981e+02 2.5e-10 1.97
63 4.0e-07 9.0e-03 2.7e-05 9.98e-01 1.664213603e+02 1.664223620e+02 2.2e-10 2.00
64 3.6e-07 8.8e-03 2.4e-05 1.00e+00 1.664214278e+02 1.664223293e+02 2.0e-10 2.03
65 3.2e-07 8.7e-03 2.2e-05 1.00e+00 1.664214885e+02 1.664222998e+02 1.8e-10 2.06
66 2.9e-07 8.6e-03 1.9e-05 9.99e-01 1.664215431e+02 1.664222733e+02 1.6e-10 2.10
67 2.6e-07 8.5e-03 1.7e-05 1.00e+00 1.664215923e+02 1.664222494e+02 1.5e-10 2.13
68 2.4e-07 8.4e-03 1.6e-05 9.97e-01 1.664216365e+02 1.664222279e+02 1.3e-10 2.16
69 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664216763e+02 1.664222086e+02 1.2e-10 2.19
70 1.9e-07 8.3e-03 1.3e-05 9.97e-01 1.664217121e+02 1.664221912e+02 1.1e-10 2.22
71 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217443e+02 1.664221755e+02 9.7e-11 2.25
72 1.6e-07 8.1e-03 1.0e-05 1.00e+00 1.664217733e+02 1.664221613e+02 8.7e-11 2.28
73 1.4e-07 8.1e-03 9.3e-06 1.00e+00 1.664217995e+02 1.664221485e+02 7.8e-11 2.31
74 1.3e-07 8.0e-03 8.3e-06 9.99e-01 1.664218230e+02 1.664221371e+02 7.1e-11 2.35
75 1.1e-07 8.0e-03 7.5e-06 1.00e+00 1.664218441e+02 1.664221268e+02 6.3e-11 2.38
76 1.0e-07 7.9e-03 6.8e-06 9.98e-01 1.664218631e+02 1.664221175e+02 5.7e-11 2.41
77 9.2e-08 7.9e-03 6.1e-06 9.98e-01 1.664218802e+02 1.664221092e+02 5.1e-11 2.44
78 8.2e-08 7.1e-03 5.5e-06 1.01e+00 1.664218963e+02 1.664221013e+02 4.6e-11 2.47
79 7.4e-08 6.4e-03 4.9e-06 9.95e-01 1.664219101e+02 1.664220946e+02 4.2e-11 2.50
80 6.7e-08 5.8e-03 4.4e-06 1.00e+00 1.664219225e+02 1.664220886e+02 3.8e-11 2.53
81 6.0e-08 5.2e-03 4.0e-06 9.93e-01 1.664219336e+02 1.664220832e+02 3.4e-11 2.56
82 5.4e-08 4.7e-03 3.6e-06 9.92e-01 1.664219437e+02 1.664220783e+02 3.1e-11 2.59
83 4.9e-08 4.2e-03 3.2e-06 9.96e-01 1.664219527e+02 1.664220739e+02 2.7e-11 2.61
84 4.4e-08 3.8e-03 2.9e-06 1.02e+00 1.664219613e+02 1.664220696e+02 2.5e-11 2.64
85 3.9e-08 3.4e-03 2.6e-06 1.00e+00 1.664219686e+02 1.664220661e+02 2.2e-11 2.67
86 3.5e-08 3.1e-03 2.4e-06 1.00e+00 1.664219752e+02 1.664220628e+02 2.0e-11 2.71
87 3.2e-08 2.8e-03 2.1e-06 1.01e+00 1.664219812e+02 1.664220599e+02 1.8e-11 2.74
88 2.9e-08 2.5e-03 1.9e-06 1.01e+00 1.664219867e+02 1.664220572e+02 1.6e-11 2.76
89 2.6e-08 2.2e-03 1.7e-06 1.01e+00 1.664219916e+02 1.664220548e+02 1.5e-11 2.79
90 2.3e-08 2.0e-03 1.5e-06 9.73e-01 1.664219958e+02 1.664220528e+02 1.3e-11 2.82
91 2.1e-08 1.8e-03 1.4e-06 9.88e-01 1.664219996e+02 1.664220509e+02 1.2e-11 2.86
92 1.9e-08 1.6e-03 1.3e-06 9.72e-01 1.664220031e+02 1.664220493e+02 1.1e-11 2.89
93 1.7e-08 1.5e-03 1.1e-06 1.01e+00 1.664220063e+02 1.664220477e+02 9.8e-12 2.92
94 1.5e-08 1.3e-03 1.0e-06 1.05e+00 1.664220097e+02 1.664220459e+02 9.0e-12 2.95
95 1.4e-08 1.2e-03 9.1e-07 1.02e+00 1.664220124e+02 1.664220446e+02 8.2e-12 2.98
96 1.2e-08 1.1e-03 8.2e-07 9.81e-01 1.664220146e+02 1.664220436e+02 7.4e-12 3.01
97 1.1e-08 9.6e-04 7.4e-07 9.23e-01 1.664220165e+02 1.664220427e+02 6.7e-12 3.04
98 1.0e-08 8.6e-04 6.7e-07 9.66e-01 1.664220183e+02 1.664220419e+02 6.0e-12 3.07
99 9.1e-09 7.8e-04 6.0e-07 9.88e-01 1.664220198e+02 1.664220411e+02 5.4e-12 3.10
100 8.3e-09 7.0e-04 5.4e-07 1.20e+00 1.664220225e+02 1.664220395e+02 5.3e-12 3.13
101 7.6e-09 6.3e-04 4.9e-07 8.59e-01 1.664220237e+02 1.664220391e+02 4.8e-12 3.16
102 6.8e-09 5.7e-04 4.4e-07 9.82e-01 1.664220247e+02 1.664220386e+02 4.3e-12 3.20
103 6.2e-09 5.1e-04 3.9e-07 1.12e+00 1.664220262e+02 1.664220378e+02 4.1e-12 3.23
104 5.6e-09 4.6e-04 3.5e-07 1.07e+00 1.664220272e+02 1.664220373e+02 3.8e-12 3.26
105 5.2e-09 4.1e-04 3.2e-07 9.95e-01 1.664220279e+02 1.664220370e+02 3.5e-12 3.29
106 4.7e-09 3.7e-04 2.9e-07 1.00e+00 1.664220285e+02 1.664220367e+02 3.1e-12 3.33
107 3.2e-09 2.3e-05 1.8e-08 7.98e-01 1.664220340e+02 1.664220346e+02 4.4e-13 3.36
Interior-point optimizer terminated. Time: 3.36.
Optimizer terminated. Time: 3.39
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203403e+02 Viol. con: 5e-08 var: 0e+00
Dual. obj: 1.6642203458e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.41 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 : 0.07 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 : 1.46e+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 -1.285332505e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263506599e+05 3.573405845e+00 4.8e-01 0.12
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201229618e+05 1.024109176e+01 1.8e-01 0.15
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154146791e+05 6.438969530e+01 1.2e-01 0.18
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.128141991e+05 2.256492927e+03 1.2e-01 0.21
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.452165870e+04 9.623277700e+03 3.3e-02 0.24
6 3.0e+01 3.8e+01 1.7e+03 -1.92e-01 -4.039645080e+04 1.017307111e+04 1.3e-02 0.27
7 1.8e+01 2.3e+01 1.0e+03 3.96e-01 -2.710380898e+04 6.644067134e+03 7.9e-03 0.31
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.529783943e+04 3.811650284e+03 4.1e-03 0.34
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.370868056e+03 1.685458212e+03 1.5e-03 0.37
10 1.6e+00 2.1e+00 9.1e+01 9.54e-01 -2.488128564e+03 1.068013698e+03 7.3e-04 0.40
11 9.3e-01 1.2e+00 5.2e+01 9.86e-01 -1.337543440e+03 6.866614353e+02 4.1e-04 0.44
12 8.5e-01 1.1e+00 4.8e+01 9.60e-01 -1.253937575e+03 6.354899187e+02 3.8e-04 0.47
13 4.7e-01 6.1e-01 2.7e+01 9.77e-01 -6.373733851e+02 4.197195361e+02 2.1e-04 0.50
14 2.5e-01 3.3e-01 1.4e+01 1.00e+00 -2.541636971e+02 3.021291083e+02 1.1e-04 0.53
15 9.3e-02 1.5e-01 5.3e+00 1.00e+00 -3.965429329e+00 2.060659844e+02 4.3e-05 0.56
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.475357770e+01 2.084812820e+02 4.0e-05 0.59
17 6.0e-02 9.6e-02 3.4e+00 1.02e+00 6.117836895e+01 1.950768832e+02 2.8e-05 0.62
18 3.3e-02 7.2e-02 1.9e+00 1.02e+00 1.091847447e+02 1.824028354e+02 1.5e-05 0.65
19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.513702771e+02 1.718414391e+02 4.3e-06 0.69
20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602184409e+02 1.683899314e+02 1.7e-06 0.71
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642699937e+02 1.671903167e+02 6.2e-07 0.75
22 8.6e-04 1.0e-01 5.2e-02 9.84e-01 1.649681659e+02 1.669443972e+02 4.3e-07 0.78
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659690908e+02 1.665864858e+02 1.3e-07 0.81
24 9.4e-05 1.0e-01 6.1e-03 1.01e+00 1.662459031e+02 1.664756907e+02 5.1e-08 0.84
25 3.7e-05 9.5e-02 2.4e-03 1.01e+00 1.663440802e+02 1.664350960e+02 2.0e-08 0.87
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663785046e+02 1.664206579e+02 9.5e-09 0.90
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663820227e+02 1.664199767e+02 8.5e-09 0.94
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663846094e+02 1.664187607e+02 7.7e-09 0.96
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663869813e+02 1.664177119e+02 6.9e-09 1.00
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663891058e+02 1.664167590e+02 6.2e-09 1.03
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663910164e+02 1.664159007e+02 5.6e-09 1.06
32 9.1e-06 4.7e-02 5.9e-04 1.00e+00 1.663927337e+02 1.664151266e+02 5.0e-09 1.09
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663942775e+02 1.664144287e+02 4.5e-09 1.12
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663956654e+02 1.664137995e+02 4.1e-09 1.15
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969134e+02 1.664132324e+02 3.7e-09 1.18
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663980354e+02 1.664127213e+02 3.3e-09 1.21
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663990444e+02 1.664122606e+02 3.0e-09 1.24
38 4.8e-06 2.9e-02 3.2e-04 1.00e+00 1.663999518e+02 1.664118455e+02 2.7e-09 1.27
39 4.3e-06 2.6e-02 2.8e-04 1.00e+00 1.664007677e+02 1.664114714e+02 2.4e-09 1.30
40 3.9e-06 2.5e-02 2.6e-04 1.00e+00 1.664015015e+02 1.664111343e+02 2.2e-09 1.33
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664021614e+02 1.664108305e+02 2.0e-09 1.36
42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027549e+02 1.664105567e+02 1.8e-09 1.39
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664032886e+02 1.664103099e+02 1.6e-09 1.42
44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037687e+02 1.664100877e+02 1.4e-09 1.45
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042006e+02 1.664098874e+02 1.3e-09 1.48
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045891e+02 1.664097071e+02 1.2e-09 1.51
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049386e+02 1.664095447e+02 1.0e-09 1.53
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052530e+02 1.664093984e+02 9.4e-10 1.56
49 1.5e-06 1.4e-02 9.9e-05 1.00e+00 1.664055359e+02 1.664092667e+02 8.4e-10 1.59
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664057905e+02 1.664091481e+02 7.6e-10 1.63
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060195e+02 1.664090414e+02 6.8e-10 1.65
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062255e+02 1.664089451e+02 6.1e-10 1.69
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064109e+02 1.664088585e+02 5.5e-10 1.71
54 8.9e-07 1.2e-02 5.9e-05 1.00e+00 1.664065777e+02 1.664087804e+02 5.0e-10 1.74
55 8.0e-07 1.1e-02 5.3e-05 1.00e+00 1.664067278e+02 1.664087102e+02 4.5e-10 1.77
56 7.2e-07 1.1e-02 4.7e-05 9.99e-01 1.664068628e+02 1.664086470e+02 4.0e-10 1.79
57 6.5e-07 1.0e-02 4.3e-05 1.00e+00 1.664069842e+02 1.664085900e+02 3.6e-10 1.82
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664070935e+02 1.664085387e+02 3.3e-10 1.85
59 5.3e-07 9.9e-03 3.5e-05 1.00e+00 1.664071918e+02 1.664084924e+02 2.9e-10 1.87
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072802e+02 1.664084507e+02 2.6e-10 1.90
61 4.3e-07 9.5e-03 2.8e-05 1.00e+00 1.664073597e+02 1.664084132e+02 2.4e-10 1.93
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074312e+02 1.664083794e+02 2.1e-10 1.96
63 3.5e-07 9.1e-03 2.3e-05 1.00e+00 1.664074956e+02 1.664083489e+02 1.9e-10 1.99
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075535e+02 1.664083215e+02 1.7e-10 2.03
65 2.8e-07 8.8e-03 1.8e-05 9.99e-01 1.664076055e+02 1.664082968e+02 1.6e-10 2.06
66 2.5e-07 8.7e-03 1.7e-05 1.00e+00 1.664076524e+02 1.664082745e+02 1.4e-10 2.09
67 2.3e-07 8.6e-03 1.5e-05 1.00e+00 1.664076946e+02 1.664082544e+02 1.3e-10 2.11
68 2.0e-07 8.5e-03 1.3e-05 9.98e-01 1.664077325e+02 1.664082364e+02 1.1e-10 2.14
69 1.8e-07 8.4e-03 1.2e-05 1.00e+00 1.664077666e+02 1.664082201e+02 1.0e-10 2.17
70 1.7e-07 8.3e-03 1.1e-05 1.00e+00 1.664077973e+02 1.664082055e+02 9.2e-11 2.20
71 1.5e-07 8.2e-03 9.8e-06 9.99e-01 1.664078250e+02 1.664081923e+02 8.3e-11 2.23
72 1.3e-07 8.2e-03 8.8e-06 1.00e+00 1.664078499e+02 1.664081804e+02 7.5e-11 2.26
73 1.2e-07 8.1e-03 7.9e-06 1.00e+00 1.664078723e+02 1.664081697e+02 6.7e-11 2.29
74 1.1e-07 8.1e-03 7.1e-06 1.00e+00 1.664078926e+02 1.664081600e+02 6.1e-11 2.32
75 9.8e-08 8.0e-03 6.4e-06 9.95e-01 1.664079107e+02 1.664081514e+02 5.5e-11 2.34
76 8.8e-08 7.9e-03 5.8e-06 9.97e-01 1.664079270e+02 1.664081436e+02 4.9e-11 2.37
77 7.9e-08 7.9e-03 5.2e-06 1.01e+00 1.664079418e+02 1.664081365e+02 4.4e-11 2.40
78 7.1e-08 7.9e-03 4.7e-06 1.00e+00 1.664079551e+02 1.664081301e+02 4.0e-11 2.43
79 6.4e-08 7.9e-03 4.2e-06 1.00e+00 1.664079670e+02 1.664081245e+02 3.6e-11 2.46
80 5.8e-08 7.8e-03 3.8e-06 1.00e+00 1.664079776e+02 1.664081194e+02 3.2e-11 2.49
81 5.2e-08 7.8e-03 3.4e-06 9.90e-01 1.664079872e+02 1.664081148e+02 2.9e-11 2.52
82 4.7e-08 7.8e-03 3.1e-06 1.00e+00 1.664079958e+02 1.664081107e+02 2.6e-11 2.55
83 4.2e-08 7.7e-03 2.8e-06 9.84e-01 1.664080036e+02 1.664081071e+02 2.4e-11 2.58
84 3.8e-08 7.6e-03 2.5e-06 9.60e-01 1.664080106e+02 1.664081038e+02 2.1e-11 2.61
85 3.4e-08 6.8e-03 2.2e-06 1.00e+00 1.664080169e+02 1.664081008e+02 1.9e-11 2.64
86 3.1e-08 6.2e-03 2.0e-06 9.81e-01 1.664080225e+02 1.664080981e+02 1.7e-11 2.68
87 2.8e-08 5.5e-03 1.8e-06 1.02e+00 1.664080280e+02 1.664080955e+02 1.6e-11 2.71
88 2.5e-08 5.0e-03 1.6e-06 9.86e-01 1.664080325e+02 1.664080933e+02 1.4e-11 2.74
89 2.2e-08 4.5e-03 1.5e-06 1.02e+00 1.664080369e+02 1.664080911e+02 1.3e-11 2.78
90 2.0e-08 4.0e-03 1.3e-06 1.02e+00 1.664080409e+02 1.664080892e+02 1.2e-11 2.81
91 1.8e-08 3.6e-03 1.2e-06 1.03e+00 1.664080446e+02 1.664080874e+02 1.1e-11 2.84
92 1.6e-08 3.3e-03 1.1e-06 1.05e+00 1.664080481e+02 1.664080856e+02 9.7e-12 2.87
93 1.5e-08 2.9e-03 9.6e-07 1.04e+00 1.664080511e+02 1.664080841e+02 8.9e-12 2.91
94 1.3e-08 2.6e-03 8.7e-07 9.47e-01 1.664080534e+02 1.664080831e+02 8.0e-12 2.94
95 1.2e-08 2.4e-03 7.8e-07 8.93e-01 1.664080553e+02 1.664080823e+02 7.2e-12 2.97
96 1.1e-08 2.1e-03 7.0e-07 9.89e-01 1.664080572e+02 1.664080814e+02 6.5e-12 3.00
97 9.7e-09 1.9e-03 6.3e-07 9.61e-01 1.664080588e+02 1.664080806e+02 5.8e-12 3.04
98 8.8e-09 1.7e-03 5.7e-07 1.00e+00 1.664080603e+02 1.664080799e+02 5.3e-12 3.07
99 7.9e-09 1.6e-03 5.1e-07 1.02e+00 1.664080617e+02 1.664080792e+02 4.8e-12 3.11
100 7.2e-09 1.4e-03 4.6e-07 1.07e+00 1.664080633e+02 1.664080784e+02 4.5e-12 3.14
101 6.7e-09 1.3e-03 4.1e-07 1.05e+00 1.664080645e+02 1.664080778e+02 4.1e-12 3.18
102 5.9e-09 1.1e-03 3.7e-07 1.29e+00 1.664080655e+02 1.664080773e+02 3.7e-12 3.22
103 5.8e-09 1.0e-03 3.4e-07 1.09e+00 1.664080666e+02 1.664080766e+02 3.5e-12 3.25
104 5.3e-09 9.2e-04 3.0e-07 8.77e-01 1.664080673e+02 1.664080764e+02 3.1e-12 3.28
105 5.0e-09 8.3e-04 2.7e-07 9.03e-01 1.664080679e+02 1.664080761e+02 2.8e-12 3.32
106 5.5e-09 7.5e-04 2.4e-07 1.20e+00 1.664080690e+02 1.664080755e+02 2.8e-12 3.35
107 5.5e-09 7.5e-04 2.4e-07 1.11e+00 1.664080690e+02 1.664080755e+02 2.8e-12 3.39
108 4.8e-09 6.7e-04 2.2e-07 8.42e-01 1.664080694e+02 1.664080753e+02 2.5e-12 3.43
109 4.3e-09 6.1e-04 2.0e-07 9.37e-01 1.664080698e+02 1.664080752e+02 2.3e-12 3.46
110 1.1e-08 7.0e-05 2.3e-08 7.91e-01 1.664080732e+02 1.664080739e+02 4.3e-13 3.50
Interior-point optimizer terminated. Time: 3.50.
Optimizer terminated. Time: 3.54
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807325e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6640807393e+02 Viol. con: 0e+00 var: 4e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.57 seconds.
Solving took 9 GP solves and 42.4 seconds.
Solves with these variables bounded:
value near lower bound: Mission.CruiseAlt
value near upper bound: Mission.Aircraft.HorizontalTail.WingBox.M_{r_{out}}, Mission.Aircraft.Engine.Thrust.\alpha_{max}, Mission.Aircraft.Wing.WingNoStruct.A_{tri}, Mission.TotalTime, Mission.Aircraft.LandingGear.d_{nacelle}, Mission.T_{t_{4.1_{max-Cruise}}}
Checking for relaxed constants...
Solution check warning: Primal solution computed cost did not match solver-returned cost: 1.495740506666648e+110 vs 1.49570261943e+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: 3.705387494035848e+72 vs 3.705239228e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682425]
Total Aircraft Weight Percent Diff: [-21.48056802]
Engine Weight Percent Diff: -56.27827407527712
Fuselage Weight Percent Diff: -0.8697389311135517
Payload Weight Percent Diff: [-0.0400356]
VT Weight Percent Diff: -8.607891268698591
HT Weight Percent Diff: -93.23330287287457
Wing Weight Percent Diff: 8.267516822400875
WING DIFFERENCES
Wing Span Percent Diff: -0.02999338759049897
Wing Area Percent Diff: 32.899764225289154
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.48869077344441
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022351143709498
VT Area Percent Diff: -60.3868451728067
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54718158]
L/D Percent Diff: [24.01022934]
Nacelle Cd Percent Diff: [-94.27641485]
HT Cd Percent Diff: [-80.76940665] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00294468] dimensionless
Wing Cd percent Diff: [-14.22913187]
Induced Drag Cd Percent Diff: [1.21949636]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035791]
FUSELAGE DIFFERENCES
Weight of HB material: -38.36101935302733
Weight of VB material: 87.81754491588352
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260515]
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 : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280976207e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.3e+04 -9.71e-01 -1.260360597e+05 3.611424052e+00 4.9e-01 0.11
2 4.1e+02 5.3e+02 2.3e+04 -9.38e-01 -1.195206719e+05 1.063331153e+01 1.8e-01 0.14
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.151942168e+05 6.795829655e+01 1.3e-01 0.18
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127212826e+05 2.109723808e+03 1.3e-01 0.21
5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.071413615e+04 8.411072422e+03 3.9e-02 0.24
6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.787028059e+04 1.016025756e+04 1.6e-02 0.27
7 2.1e+01 2.8e+01 1.2e+03 2.52e-01 -3.173778936e+04 7.155034269e+03 9.5e-03 0.30
8 9.4e+00 1.2e+01 5.3e+02 5.36e-01 -1.511150083e+04 4.167123567e+03 4.2e-03 0.33
9 5.5e+00 7.1e+00 3.1e+02 8.14e-01 -8.836155418e+03 2.832992813e+03 2.5e-03 0.36
10 1.3e+00 1.7e+00 7.6e+01 9.07e-01 -2.021517100e+03 9.278094940e+02 6.1e-04 0.39
11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.292899266e+02 7.204982019e+02 3.2e-04 0.42
12 4.7e-01 6.1e-01 2.7e+01 9.97e-01 -4.810408396e+02 5.632816117e+02 2.1e-04 0.45
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.119899248e+02 4.857188935e+02 1.6e-04 0.48
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.727746611e+01 3.656933383e+02 7.9e-05 0.50
15 5.5e-02 1.5e-01 3.2e+00 9.94e-01 1.624902967e+02 2.901499707e+02 2.7e-05 0.54
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.999027139e+02 2.746125040e+02 1.6e-05 0.57
17 5.1e-03 1.8e-01 3.2e-01 1.00e+00 2.445305033e+02 2.572371524e+02 2.8e-06 0.60
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509424510e+02 2.546897023e+02 8.3e-07 0.63
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527845502e+02 2.540210950e+02 2.8e-07 0.66
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532880856e+02 2.538352203e+02 1.2e-07 0.69
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533292209e+02 2.538216573e+02 1.1e-07 0.72
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533650963e+02 2.538082643e+02 1.0e-07 0.76
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533974268e+02 2.537962616e+02 9.0e-08 0.79
24 1.4e-04 5.9e-02 9.2e-03 1.00e+00 2.534264980e+02 2.537854354e+02 8.1e-08 0.81
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534526435e+02 2.537756756e+02 7.3e-08 0.84
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534761572e+02 2.537668763e+02 6.5e-08 0.87
27 1.0e-04 4.5e-02 6.7e-03 1.00e+00 2.534973060e+02 2.537589453e+02 5.9e-08 0.90
28 9.0e-05 4.1e-02 6.1e-03 1.00e+00 2.535163290e+02 2.537517977e+02 5.3e-08 0.93
29 8.1e-05 3.8e-02 5.4e-03 1.00e+00 2.535334405e+02 2.537453571e+02 4.8e-08 0.96
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535488335e+02 2.537395540e+02 4.3e-08 0.99
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535626809e+02 2.537343259e+02 3.9e-08 1.02
32 5.9e-05 3.0e-02 4.0e-03 1.00e+00 2.535751383e+02 2.537296160e+02 3.5e-08 1.05
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535863455e+02 2.537253733e+02 3.1e-08 1.07
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535964283e+02 2.537215515e+02 2.8e-08 1.10
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536054996e+02 2.537181092e+02 2.5e-08 1.13
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536136611e+02 2.537150086e+02 2.3e-08 1.16
37 3.5e-05 2.0e-02 2.3e-03 1.00e+00 2.536210042e+02 2.537122161e+02 2.1e-08 1.19
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276109e+02 2.537097011e+02 1.9e-08 1.22
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536335554e+02 2.537074360e+02 1.7e-08 1.25
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389040e+02 2.537053962e+02 1.5e-08 1.27
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536437166e+02 2.537035594e+02 1.3e-08 1.30
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536480470e+02 2.537019053e+02 1.2e-08 1.34
43 1.9e-05 1.4e-02 1.2e-03 1.00e+00 2.536519435e+02 2.537004158e+02 1.1e-08 1.36
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554497e+02 2.536990747e+02 9.8e-09 1.40
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586047e+02 2.536978672e+02 8.9e-09 1.42
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614438e+02 2.536967800e+02 8.0e-09 1.46
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536639986e+02 2.536958012e+02 7.2e-09 1.49
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536662977e+02 2.536949200e+02 6.5e-09 1.52
49 9.9e-06 1.1e-02 6.6e-04 1.00e+00 2.536683666e+02 2.536941267e+02 5.8e-09 1.54
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536702284e+02 2.536934125e+02 5.2e-09 1.57
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536719038e+02 2.536927696e+02 4.7e-09 1.61
52 7.2e-06 1.0e-02 4.8e-04 1.00e+00 2.536734116e+02 2.536921909e+02 4.2e-09 1.64
53 6.5e-06 9.9e-03 4.3e-04 1.00e+00 2.536747686e+02 2.536916699e+02 3.8e-09 1.66
54 5.8e-06 9.6e-03 3.9e-04 1.00e+00 2.536759897e+02 2.536912009e+02 3.4e-09 1.69
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770886e+02 2.536907788e+02 3.1e-09 1.72
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780776e+02 2.536903988e+02 2.8e-09 1.74
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789676e+02 2.536900567e+02 2.5e-09 1.78
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797686e+02 2.536897487e+02 2.3e-09 1.81
59 3.4e-06 8.7e-03 2.3e-04 1.00e+00 2.536804894e+02 2.536894716e+02 2.0e-09 1.84
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811381e+02 2.536892221e+02 1.8e-09 1.87
61 1.2e-06 3.3e-03 8.1e-05 1.00e+00 2.536846984e+02 2.536878513e+02 7.1e-10 1.90
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849266e+02 2.536877643e+02 6.4e-10 1.93
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862390e+02 2.536872586e+02 2.3e-10 1.96
64 3.5e-07 9.7e-04 2.4e-05 1.00e+00 2.536863127e+02 2.536872303e+02 2.1e-10 1.99
65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863788e+02 2.536872047e+02 1.9e-10 2.02
66 2.8e-07 7.9e-04 1.9e-05 1.00e+00 2.536864385e+02 2.536871817e+02 1.7e-10 2.05
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864921e+02 2.536871610e+02 1.5e-10 2.08
68 2.3e-07 6.4e-04 1.5e-05 1.00e+00 2.536865404e+02 2.536871424e+02 1.4e-10 2.11
69 2.1e-07 5.7e-04 1.4e-05 1.00e+00 2.536865838e+02 2.536871257e+02 1.2e-10 2.14
70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866229e+02 2.536871106e+02 1.1e-10 2.17
71 1.7e-07 4.7e-04 1.1e-05 9.99e-01 2.536866581e+02 2.536870970e+02 9.9e-11 2.20
72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866898e+02 2.536870848e+02 8.9e-11 2.23
73 1.4e-07 3.8e-04 9.1e-06 1.00e+00 2.536867183e+02 2.536870738e+02 8.0e-11 2.26
74 1.2e-07 3.4e-04 8.2e-06 1.00e+00 2.536867439e+02 2.536870639e+02 7.2e-11 2.29
75 1.1e-07 3.1e-04 7.4e-06 1.00e+00 2.536867670e+02 2.536870549e+02 6.5e-11 2.32
76 9.9e-08 2.7e-04 6.7e-06 1.00e+00 2.536867878e+02 2.536870469e+02 5.8e-11 2.36
77 8.9e-08 2.5e-04 6.0e-06 1.00e+00 2.536868065e+02 2.536870397e+02 5.3e-11 2.38
78 8.0e-08 2.2e-04 5.4e-06 1.00e+00 2.536868233e+02 2.536870332e+02 4.7e-11 2.42
79 7.2e-08 2.0e-04 4.9e-06 1.00e+00 2.536868385e+02 2.536870273e+02 4.3e-11 2.45
80 6.5e-08 1.8e-04 4.4e-06 1.00e+00 2.536868523e+02 2.536870219e+02 3.8e-11 2.48
81 5.9e-08 1.6e-04 3.9e-06 1.00e+00 2.536868646e+02 2.536870172e+02 3.5e-11 2.51
82 5.3e-08 1.5e-04 3.5e-06 9.99e-01 2.536868756e+02 2.536870130e+02 3.1e-11 2.54
83 4.8e-08 1.3e-04 3.2e-06 9.95e-01 2.536868855e+02 2.536870092e+02 2.8e-11 2.57
84 4.3e-08 1.2e-04 2.9e-06 1.00e+00 2.536868944e+02 2.536870057e+02 2.5e-11 2.60
85 3.8e-08 1.1e-04 2.6e-06 1.00e+00 2.536869025e+02 2.536870026e+02 2.3e-11 2.62
86 3.5e-08 9.6e-05 2.3e-06 1.00e+00 2.536869097e+02 2.536869998e+02 2.0e-11 2.66
87 3.1e-08 8.6e-05 2.1e-06 1.00e+00 2.536869162e+02 2.536869972e+02 1.8e-11 2.69
88 2.8e-08 7.8e-05 1.9e-06 9.99e-01 2.536869221e+02 2.536869950e+02 1.7e-11 2.72
89 2.5e-08 7.0e-05 1.7e-06 9.99e-01 2.536869273e+02 2.536869930e+02 1.5e-11 2.75
90 2.3e-08 6.3e-05 1.5e-06 9.97e-01 2.536869321e+02 2.536869911e+02 1.3e-11 2.78
91 2.0e-08 5.7e-05 1.4e-06 1.00e+00 2.536869363e+02 2.536869895e+02 1.2e-11 2.80
92 1.8e-08 5.1e-05 1.2e-06 1.01e+00 2.536869403e+02 2.536869879e+02 1.1e-11 2.83
93 1.7e-08 4.6e-05 1.1e-06 1.01e+00 2.536869438e+02 2.536869866e+02 9.8e-12 2.86
94 1.5e-08 4.1e-05 1.0e-06 1.01e+00 2.536869470e+02 2.536869853e+02 8.9e-12 2.89
95 1.3e-08 3.7e-05 9.0e-07 1.00e+00 2.536869498e+02 2.536869843e+02 8.0e-12 2.92
96 1.2e-08 3.3e-05 8.1e-07 9.95e-01 2.536869522e+02 2.536869833e+02 7.2e-12 2.95
97 1.1e-08 3.0e-05 7.3e-07 9.97e-01 2.536869545e+02 2.536869824e+02 6.5e-12 2.98
98 9.8e-09 2.7e-05 6.6e-07 9.96e-01 2.536869565e+02 2.536869817e+02 5.8e-12 3.01
Interior-point optimizer terminated. Time: 3.02.
Optimizer terminated. Time: 3.04
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695649e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698166e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.07 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 : 0.07 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281787446e+05 2.000000000e+00 1.0e+00 0.10
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.259414228e+05 3.780941016e+00 4.7e-01 0.13
2 4.6e+02 5.9e+02 2.6e+04 -9.35e-01 -1.205918795e+05 9.868922464e+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 9.031239867e+03 3.6e-02 0.26
6 3.6e+01 4.6e+01 2.0e+03 -2.53e-01 -4.675648579e+04 1.010078030e+04 1.6e-02 0.30
7 1.9e+01 2.4e+01 1.0e+03 2.76e-01 -2.801894176e+04 6.402312635e+03 8.2e-03 0.33
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.471216455e+04 4.005088024e+03 4.0e-03 0.36
9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.206577766e+03 2.776623698e+03 2.5e-03 0.39
10 1.9e+00 2.4e+00 1.1e+02 9.02e-01 -2.967188385e+03 1.150548951e+03 8.4e-04 0.41
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.411824623e+03 1.013250388e+03 7.0e-04 0.44
12 1.0e+00 1.4e+00 5.6e+01 9.78e-01 -1.467425702e+03 7.220755428e+02 4.4e-04 0.47
13 4.6e-01 6.8e-01 2.6e+01 9.83e-01 -5.896883170e+02 4.319681477e+02 2.1e-04 0.50
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.320840710e+02 3.288887952e+02 1.1e-04 0.53
15 1.0e-01 1.6e-01 5.7e+00 1.00e+00 1.044651842e+01 2.360029547e+02 4.6e-05 0.56
16 4.7e-02 1.0e-01 2.7e+00 1.00e+00 9.574902730e+01 2.020284259e+02 2.2e-05 0.59
17 1.0e-02 1.4e-01 6.2e-01 1.01e+00 1.548431131e+02 1.790677317e+02 5.2e-06 0.61
18 6.3e-03 1.0e-01 3.9e-01 1.01e+00 1.614292042e+02 1.765011124e+02 3.2e-06 0.64
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.695627744e+02 1.734405847e+02 8.5e-07 0.67
20 3.4e-04 1.4e-01 2.2e-02 1.01e+00 1.717721240e+02 1.726293360e+02 1.9e-07 0.70
21 1.4e-04 1.0e-01 9.5e-03 9.94e-01 1.721372137e+02 1.725037900e+02 8.3e-08 0.73
22 8.9e-05 8.2e-02 6.0e-03 1.00e+00 1.722347055e+02 1.724653291e+02 5.2e-08 0.76
23 8.0e-05 7.6e-02 5.4e-03 1.00e+00 1.722527903e+02 1.724604212e+02 4.7e-08 0.78
24 7.2e-05 6.9e-02 4.8e-03 1.00e+00 1.722680411e+02 1.724549097e+02 4.2e-08 0.81
25 6.5e-05 6.3e-02 4.3e-03 1.00e+00 1.722818158e+02 1.724499966e+02 3.8e-08 0.84
26 5.9e-05 5.7e-02 3.9e-03 1.00e+00 1.722941842e+02 1.724455455e+02 3.4e-08 0.87
27 5.3e-05 5.2e-02 3.5e-03 1.00e+00 1.723053032e+02 1.724415268e+02 3.1e-08 0.89
28 4.7e-05 4.8e-02 3.2e-03 1.00e+00 1.723152953e+02 1.724378950e+02 2.8e-08 0.92
29 4.3e-05 4.4e-02 2.8e-03 1.00e+00 1.723242746e+02 1.724346129e+02 2.5e-08 0.94
30 3.8e-05 4.0e-02 2.6e-03 1.00e+00 1.723323436e+02 1.724316468e+02 2.2e-08 0.97
31 3.5e-05 3.7e-02 2.3e-03 1.00e+00 1.723395949e+02 1.724289667e+02 2.0e-08 1.00
32 3.1e-05 3.4e-02 2.1e-03 1.00e+00 1.723461118e+02 1.724265456e+02 1.8e-08 1.03
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723519694e+02 1.724243591e+02 1.6e-08 1.06
34 2.5e-05 2.9e-02 1.7e-03 1.00e+00 1.723572350e+02 1.724223851e+02 1.5e-08 1.09
35 2.3e-05 2.7e-02 1.5e-03 1.00e+00 1.723619689e+02 1.724206036e+02 1.3e-08 1.11
36 2.0e-05 2.5e-02 1.4e-03 1.00e+00 1.723662252e+02 1.724189961e+02 1.2e-08 1.14
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723700525e+02 1.724175460e+02 1.1e-08 1.16
38 1.7e-05 2.2e-02 1.1e-03 1.00e+00 1.723734942e+02 1.724162381e+02 9.7e-09 1.19
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723765893e+02 1.724150588e+02 8.7e-09 1.22
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723793730e+02 1.724139954e+02 7.8e-09 1.25
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723818766e+02 1.724130367e+02 7.1e-09 1.27
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723841285e+02 1.724121726e+02 6.4e-09 1.30
43 9.8e-06 1.6e-02 6.5e-04 1.00e+00 1.723861540e+02 1.724113938e+02 5.7e-09 1.33
44 8.8e-06 1.5e-02 5.9e-04 1.00e+00 1.723879761e+02 1.724106918e+02 5.1e-09 1.36
45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723896151e+02 1.724100593e+02 4.6e-09 1.39
46 7.1e-06 1.4e-02 4.8e-04 1.00e+00 1.723910895e+02 1.724094894e+02 4.2e-09 1.42
47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723924159e+02 1.724089758e+02 3.8e-09 1.45
48 5.8e-06 1.3e-02 3.9e-04 1.00e+00 1.723936092e+02 1.724085132e+02 3.4e-09 1.47
49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723946828e+02 1.724080964e+02 3.0e-09 1.50
50 4.7e-06 1.2e-02 3.1e-04 1.00e+00 1.723956487e+02 1.724077210e+02 2.7e-09 1.53
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965177e+02 1.724073829e+02 2.5e-09 1.56
52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723972996e+02 1.724070783e+02 2.2e-09 1.58
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980031e+02 1.724068040e+02 2.0e-09 1.61
54 3.1e-06 1.0e-02 2.0e-04 1.00e+00 1.723986361e+02 1.724065569e+02 1.8e-09 1.64
55 2.8e-06 1.0e-02 1.8e-04 1.00e+00 1.723992057e+02 1.724063344e+02 1.6e-09 1.67
56 2.5e-06 9.7e-03 1.7e-04 1.00e+00 1.723997182e+02 1.724061341e+02 1.5e-09 1.70
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001793e+02 1.724059537e+02 1.3e-09 1.73
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724005942e+02 1.724057912e+02 1.2e-09 1.75
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009676e+02 1.724056449e+02 1.1e-09 1.78
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013036e+02 1.724055132e+02 9.5e-10 1.81
61 1.5e-06 8.8e-03 9.8e-05 1.00e+00 1.724016059e+02 1.724053946e+02 8.6e-10 1.84
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018780e+02 1.724052878e+02 7.7e-10 1.87
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021228e+02 1.724051916e+02 7.0e-10 1.89
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023430e+02 1.724051050e+02 6.3e-10 1.92
65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025413e+02 1.724050271e+02 5.6e-10 1.95
66 8.7e-07 8.3e-03 5.8e-05 1.00e+00 1.724027197e+02 1.724049569e+02 5.1e-10 1.98
67 7.8e-07 8.2e-03 5.2e-05 1.00e+00 1.724028802e+02 1.724048937e+02 4.6e-10 2.01
68 7.0e-07 8.1e-03 4.7e-05 1.00e+00 1.724030246e+02 1.724048368e+02 4.1e-10 2.04
69 6.3e-07 8.0e-03 4.2e-05 1.00e+00 1.724031546e+02 1.724047856e+02 3.7e-10 2.07
70 5.7e-07 8.0e-03 3.8e-05 1.00e+00 1.724032716e+02 1.724047394e+02 3.3e-10 2.10
71 5.1e-07 7.9e-03 3.4e-05 1.00e+00 1.724033768e+02 1.724046979e+02 3.0e-10 2.12
72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034716e+02 1.724046605e+02 2.7e-10 2.15
73 4.1e-07 7.8e-03 2.8e-05 1.00e+00 1.724035568e+02 1.724046269e+02 2.4e-10 2.18
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036335e+02 1.724045966e+02 2.2e-10 2.21
75 3.4e-07 7.7e-03 2.2e-05 1.00e+00 1.724037025e+02 1.724045693e+02 2.0e-10 2.23
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037646e+02 1.724045447e+02 1.8e-10 2.26
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038205e+02 1.724045226e+02 1.6e-10 2.29
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038708e+02 1.724045027e+02 1.4e-10 2.32
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039161e+02 1.724044848e+02 1.3e-10 2.34
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039568e+02 1.724044687e+02 1.2e-10 2.37
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039935e+02 1.724044542e+02 1.0e-10 2.40
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040265e+02 1.724044411e+02 9.4e-11 2.43
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040562e+02 1.724044293e+02 8.5e-11 2.45
84 1.3e-07 7.5e-03 8.7e-06 1.00e+00 1.724040829e+02 1.724044187e+02 7.6e-11 2.49
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041069e+02 1.724044091e+02 6.9e-11 2.52
86 1.1e-07 7.4e-03 7.0e-06 1.00e+00 1.724041285e+02 1.724044006e+02 6.2e-11 2.54
87 9.5e-08 7.4e-03 6.3e-06 1.00e+00 1.724041480e+02 1.724043928e+02 5.6e-11 2.57
88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041655e+02 1.724043859e+02 5.0e-11 2.60
89 7.7e-08 7.4e-03 5.1e-06 9.99e-01 1.724041813e+02 1.724043796e+02 4.5e-11 2.63
90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041955e+02 1.724043740e+02 4.0e-11 2.65
91 6.2e-08 7.4e-03 4.2e-06 1.00e+00 1.724042082e+02 1.724043689e+02 3.6e-11 2.68
92 5.6e-08 7.3e-03 3.7e-06 1.00e+00 1.724042197e+02 1.724043643e+02 3.3e-11 2.71
93 5.0e-08 7.3e-03 3.4e-06 1.00e+00 1.724042301e+02 1.724043602e+02 3.0e-11 2.73
94 4.5e-08 7.3e-03 3.0e-06 9.99e-01 1.724042394e+02 1.724043565e+02 2.7e-11 2.76
95 4.1e-08 7.3e-03 2.7e-06 1.00e+00 1.724042477e+02 1.724043531e+02 2.4e-11 2.79
96 3.7e-08 7.3e-03 2.5e-06 9.98e-01 1.724042553e+02 1.724043501e+02 2.2e-11 2.82
97 3.3e-08 7.3e-03 2.2e-06 1.00e+00 1.724042621e+02 1.724043474e+02 1.9e-11 2.85
98 3.0e-08 7.3e-03 2.0e-06 1.00e+00 1.724042682e+02 1.724043450e+02 1.7e-11 2.87
99 2.7e-08 7.3e-03 1.8e-06 1.00e+00 1.724042737e+02 1.724043428e+02 1.6e-11 2.90
100 2.4e-08 7.3e-03 1.6e-06 1.00e+00 1.724042786e+02 1.724043408e+02 1.4e-11 2.93
101 2.2e-08 7.2e-03 1.4e-06 1.00e+00 1.724042831e+02 1.724043391e+02 1.3e-11 2.95
102 2.0e-08 7.2e-03 1.3e-06 9.99e-01 1.724042871e+02 1.724043375e+02 1.1e-11 2.98
103 1.8e-08 6.5e-03 1.2e-06 1.00e+00 1.724042907e+02 1.724043360e+02 1.0e-11 3.01
104 1.6e-08 5.9e-03 1.1e-06 1.01e+00 1.724042940e+02 1.724043347e+02 9.3e-12 3.04
105 3.9e-09 1.5e-03 2.6e-07 1.00e+00 1.724043158e+02 1.724043259e+02 2.3e-12 3.07
106 3.5e-09 1.3e-03 2.4e-07 1.00e+00 1.724043165e+02 1.724043256e+02 2.1e-12 3.10
107 9.4e-10 2.9e-04 5.3e-08 1.01e+00 1.724043216e+02 1.724043236e+02 4.6e-13 3.13
Interior-point optimizer terminated. Time: 3.13.
Optimizer terminated. Time: 3.15
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432159e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432361e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.17 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.284360421e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.262635412e+05 3.636950452e+00 4.8e-01 0.12
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203756000e+05 1.002096586e+01 1.9e-01 0.15
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.156270293e+05 5.939414356e+01 1.3e-01 0.18
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131819786e+05 2.127639327e+03 1.3e-01 0.21
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.750684422e+04 9.253679677e+03 3.6e-02 0.23
6 4.0e+01 5.2e+01 2.2e+03 -2.39e-01 -5.068254930e+04 1.003928701e+04 1.8e-02 0.26
7 3.0e+01 3.9e+01 1.7e+03 2.16e-01 -4.166619154e+04 8.309958535e+03 1.3e-02 0.29
8 1.9e+01 2.4e+01 1.0e+03 3.78e-01 -2.878109100e+04 5.414643929e+03 8.2e-03 0.32
9 8.0e+00 1.0e+01 4.4e+02 5.99e-01 -1.315966572e+04 3.160786954e+03 3.5e-03 0.36
10 4.0e+00 5.1e+00 2.2e+02 8.45e-01 -6.347190088e+03 2.138382488e+03 1.8e-03 0.39
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.502128718e+03 1.318841661e+03 9.9e-04 0.42
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.332366822e+03 6.477131839e+02 4.1e-04 0.45
13 8.3e-01 1.1e+00 4.6e+01 9.70e-01 -1.217516367e+03 6.005383729e+02 3.7e-04 0.48
14 5.9e-01 7.7e-01 3.3e+01 9.74e-01 -8.114700126e+02 4.901687945e+02 2.6e-04 0.51
15 2.1e-01 7.5e-01 1.2e+01 9.90e-01 -1.973505703e+02 2.838923547e+02 9.8e-05 0.54
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.194807680e+01 2.162406066e+02 4.9e-05 0.56
17 7.7e-02 2.8e-01 4.4e+00 1.01e+00 2.773553748e+01 2.014212719e+02 3.6e-05 0.60
18 5.2e-02 2.0e-01 3.0e+00 1.02e+00 7.871293872e+01 1.952117948e+02 2.4e-05 0.62
19 1.5e-02 1.1e-01 8.7e-01 1.00e+00 1.409225145e+02 1.747335398e+02 7.0e-06 0.65
20 4.0e-03 2.2e-01 2.5e-01 1.02e+00 1.602100455e+02 1.696953072e+02 2.0e-06 0.68
21 2.7e-03 2.2e-01 1.7e-01 1.01e+00 1.623237631e+02 1.687770922e+02 1.3e-06 0.71
22 2.0e-03 1.6e-01 1.2e-01 1.00e+00 1.636802125e+02 1.683152486e+02 9.7e-07 0.74
23 7.7e-04 9.6e-02 4.8e-02 1.01e+00 1.657770313e+02 1.676106476e+02 3.9e-07 0.77
24 3.6e-04 8.1e-02 2.3e-02 1.01e+00 1.664801445e+02 1.673455430e+02 1.8e-07 0.80
25 1.5e-04 8.1e-02 9.7e-03 1.01e+00 1.668359726e+02 1.672047013e+02 7.9e-08 0.83
26 1.4e-04 7.4e-02 8.7e-03 1.01e+00 1.668663921e+02 1.671983758e+02 7.1e-08 0.85
27 1.2e-04 6.7e-02 7.8e-03 1.01e+00 1.668896168e+02 1.671882825e+02 6.4e-08 0.89
28 1.1e-04 6.2e-02 7.0e-03 1.01e+00 1.669108013e+02 1.671795202e+02 5.8e-08 0.91
29 1.0e-04 5.6e-02 6.3e-03 1.01e+00 1.669296993e+02 1.671714771e+02 5.2e-08 0.94
30 9.0e-05 5.1e-02 5.7e-03 1.01e+00 1.669466524e+02 1.671641961e+02 4.7e-08 0.97
31 8.1e-05 4.7e-02 5.1e-03 1.01e+00 1.669618561e+02 1.671575993e+02 4.2e-08 1.00
32 7.3e-05 4.3e-02 4.6e-03 1.01e+00 1.669754970e+02 1.671516281e+02 3.8e-08 1.03
33 6.5e-05 4.0e-02 4.2e-03 1.01e+00 1.669877377e+02 1.671462250e+02 3.4e-08 1.06
34 5.9e-05 3.6e-02 3.7e-03 1.01e+00 1.669987239e+02 1.671413375e+02 3.1e-08 1.09
35 5.3e-05 3.4e-02 3.4e-03 1.00e+00 1.670085856e+02 1.671369175e+02 2.8e-08 1.11
36 4.8e-05 3.1e-02 3.0e-03 1.00e+00 1.670174390e+02 1.671329214e+02 2.5e-08 1.14
37 4.3e-05 2.9e-02 2.7e-03 1.00e+00 1.670253884e+02 1.671293095e+02 2.2e-08 1.16
38 3.9e-05 2.7e-02 2.5e-03 1.00e+00 1.670325269e+02 1.671260453e+02 2.0e-08 1.19
39 3.5e-05 2.5e-02 2.2e-03 1.00e+00 1.670389381e+02 1.671230961e+02 1.8e-08 1.22
40 3.1e-05 2.3e-02 2.0e-03 1.00e+00 1.670446967e+02 1.671204321e+02 1.6e-08 1.25
41 2.8e-05 2.2e-02 1.8e-03 1.00e+00 1.670498698e+02 1.671180262e+02 1.5e-08 1.28
42 2.5e-05 2.0e-02 1.6e-03 1.00e+00 1.670545172e+02 1.671158537e+02 1.3e-08 1.30
43 2.3e-05 1.9e-02 1.5e-03 1.00e+00 1.670586930e+02 1.671138924e+02 1.2e-08 1.33
44 2.1e-05 1.8e-02 1.3e-03 1.00e+00 1.670624453e+02 1.671121220e+02 1.1e-08 1.36
45 1.8e-05 1.7e-02 1.2e-03 1.00e+00 1.670658174e+02 1.671105242e+02 9.6e-09 1.39
46 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.670688481e+02 1.671090824e+02 8.7e-09 1.42
47 1.5e-05 1.5e-02 9.5e-04 1.00e+00 1.670715721e+02 1.671077817e+02 7.8e-09 1.44
48 1.3e-05 1.4e-02 8.6e-04 1.00e+00 1.670740207e+02 1.671066083e+02 7.0e-09 1.47
49 1.2e-05 1.4e-02 7.7e-04 1.00e+00 1.670762220e+02 1.671055500e+02 6.3e-09 1.50
50 1.1e-05 1.3e-02 6.9e-04 1.00e+00 1.670782010e+02 1.671045955e+02 5.7e-09 1.53
51 9.8e-06 1.3e-02 6.2e-04 1.00e+00 1.670799803e+02 1.671037349e+02 5.1e-09 1.56
52 8.8e-06 1.2e-02 5.6e-04 1.00e+00 1.670815802e+02 1.671029589e+02 4.6e-09 1.58
53 8.0e-06 1.2e-02 5.1e-04 1.00e+00 1.670830190e+02 1.671022594e+02 4.2e-09 1.61
54 7.2e-06 1.1e-02 4.6e-04 1.00e+00 1.670843128e+02 1.671016290e+02 3.7e-09 1.65
55 6.4e-06 1.1e-02 4.1e-04 1.00e+00 1.670854764e+02 1.671010608e+02 3.4e-09 1.68
56 5.8e-06 1.1e-02 3.7e-04 1.00e+00 1.670865229e+02 1.671005487e+02 3.0e-09 1.71
57 5.2e-06 1.0e-02 3.3e-04 1.00e+00 1.670874642e+02 1.671000874e+02 2.7e-09 1.73
58 1.6e-06 3.3e-03 1.1e-04 1.00e+00 1.670932323e+02 1.670972295e+02 8.6e-10 1.76
59 1.5e-06 3.0e-03 9.5e-05 1.00e+00 1.670935012e+02 1.670970987e+02 7.8e-10 1.79
60 1.3e-06 2.7e-03 8.5e-05 1.00e+00 1.670937450e+02 1.670969829e+02 7.0e-10 1.82
61 5.3e-07 1.1e-03 3.4e-05 1.00e+00 1.670950406e+02 1.670963308e+02 2.8e-10 1.85
62 4.8e-07 9.6e-04 3.1e-05 1.00e+00 1.670951291e+02 1.670962901e+02 2.5e-10 1.88
63 4.3e-07 8.6e-04 2.7e-05 1.00e+00 1.670952062e+02 1.670962511e+02 2.3e-10 1.90
64 3.9e-07 7.7e-04 2.5e-05 1.00e+00 1.670952757e+02 1.670962160e+02 2.0e-10 1.93
65 3.5e-07 7.0e-04 2.2e-05 1.00e+00 1.670953382e+02 1.670961844e+02 1.8e-10 1.96
66 3.1e-07 6.3e-04 2.0e-05 1.00e+00 1.670953943e+02 1.670961560e+02 1.6e-10 1.99
67 2.8e-07 5.6e-04 1.8e-05 1.00e+00 1.670954449e+02 1.670961303e+02 1.5e-10 2.02
68 2.5e-07 5.1e-04 1.6e-05 9.99e-01 1.670954903e+02 1.670961073e+02 1.3e-10 2.05
69 2.3e-07 4.6e-04 1.5e-05 9.99e-01 1.670955312e+02 1.670960865e+02 1.2e-10 2.07
70 2.1e-07 4.1e-04 1.3e-05 1.00e+00 1.670955683e+02 1.670960676e+02 1.1e-10 2.10
71 1.8e-07 3.7e-04 1.2e-05 9.99e-01 1.670956014e+02 1.670960507e+02 9.7e-11 2.13
72 1.7e-07 3.3e-04 1.1e-05 1.00e+00 1.670956312e+02 1.670960355e+02 8.7e-11 2.16
73 1.5e-07 3.0e-04 9.6e-06 1.00e+00 1.670956580e+02 1.670960219e+02 7.9e-11 2.18
74 1.3e-07 2.7e-04 8.6e-06 9.99e-01 1.670956821e+02 1.670960096e+02 7.1e-11 2.21
75 1.2e-07 2.4e-04 7.8e-06 1.00e+00 1.670957038e+02 1.670959986e+02 6.4e-11 2.23
76 1.1e-07 2.2e-04 7.0e-06 1.01e+00 1.670957237e+02 1.670959883e+02 5.8e-11 2.26
77 9.8e-08 2.0e-04 6.3e-06 1.01e+00 1.670957417e+02 1.670959791e+02 5.2e-11 2.29
78 8.8e-08 1.8e-04 5.7e-06 9.97e-01 1.670957574e+02 1.670959711e+02 4.7e-11 2.32
79 8.0e-08 1.6e-04 5.1e-06 9.98e-01 1.670957716e+02 1.670959639e+02 4.2e-11 2.35
80 7.2e-08 1.4e-04 4.6e-06 9.97e-01 1.670957843e+02 1.670959574e+02 3.8e-11 2.38
81 6.4e-08 1.3e-04 4.1e-06 1.01e+00 1.670957964e+02 1.670959512e+02 3.4e-11 2.40
82 5.8e-08 1.2e-04 3.7e-06 9.96e-01 1.670958067e+02 1.670959460e+02 3.1e-11 2.43
83 5.2e-08 1.0e-04 3.3e-06 1.01e+00 1.670958162e+02 1.670959411e+02 2.8e-11 2.47
84 4.7e-08 9.4e-05 3.0e-06 1.01e+00 1.670958246e+02 1.670959367e+02 2.5e-11 2.50
85 4.2e-08 8.5e-05 2.7e-06 9.93e-01 1.670958320e+02 1.670959330e+02 2.3e-11 2.53
86 3.8e-08 7.6e-05 2.4e-06 9.88e-01 1.670958387e+02 1.670959296e+02 2.0e-11 2.55
87 3.4e-08 6.9e-05 2.2e-06 1.01e+00 1.670958450e+02 1.670959264e+02 1.8e-11 2.58
88 3.1e-08 6.2e-05 2.0e-06 9.90e-01 1.670958504e+02 1.670959237e+02 1.7e-11 2.61
89 2.8e-08 5.6e-05 1.8e-06 1.04e+00 1.670958560e+02 1.670959207e+02 1.5e-11 2.64
90 2.5e-08 5.0e-05 1.6e-06 1.02e+00 1.670958607e+02 1.670959183e+02 1.4e-11 2.66
91 2.3e-08 4.5e-05 1.4e-06 1.02e+00 1.670958647e+02 1.670959162e+02 1.2e-11 2.69
92 2.0e-08 4.1e-05 1.3e-06 9.98e-01 1.670958681e+02 1.670959145e+02 1.1e-11 2.72
93 1.8e-08 3.6e-05 1.2e-06 1.03e+00 1.670958717e+02 1.670959126e+02 1.0e-11 2.75
94 1.6e-08 3.3e-05 1.0e-06 1.05e+00 1.670958749e+02 1.670959109e+02 9.4e-12 2.78
95 1.5e-08 3.0e-05 9.4e-07 1.07e+00 1.670958781e+02 1.670959092e+02 8.8e-12 2.80
Interior-point optimizer terminated. Time: 2.81.
Optimizer terminated. Time: 2.84
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587807e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709590925e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.86 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 : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281650029e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260064481e+05 3.586598157e+00 4.8e-01 0.10
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.201037417e+05 9.955030978e+00 1.9e-01 0.13
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.153210057e+05 5.962248864e+01 1.3e-01 0.16
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.127513387e+05 2.237151759e+03 1.3e-01 0.19
5 7.6e+01 9.7e+01 4.2e+03 -7.55e-01 -7.475752518e+04 9.749523585e+03 3.3e-02 0.22
6 3.7e+01 4.7e+01 2.0e+03 -2.00e-01 -4.738515575e+04 1.028817136e+04 1.6e-02 0.25
7 2.3e+01 3.0e+01 1.3e+03 2.71e-01 -3.362159784e+04 7.292168445e+03 1.0e-02 0.28
8 1.4e+01 1.7e+01 7.6e+02 5.18e-01 -2.155807279e+04 4.842491577e+03 6.0e-03 0.31
9 5.4e+00 6.9e+00 3.0e+02 7.18e-01 -8.872510611e+03 2.461233658e+03 2.4e-03 0.34
10 2.4e+00 3.1e+00 1.4e+02 9.11e-01 -3.777325300e+03 1.422692159e+03 1.1e-03 0.37
11 1.8e+00 2.3e+00 1.0e+02 9.74e-01 -2.754276068e+03 1.093074078e+03 7.9e-04 0.40
12 8.1e-01 1.0e+00 4.6e+01 9.82e-01 -1.172187223e+03 5.956572722e+02 3.6e-04 0.43
13 7.5e-01 1.1e+00 4.2e+01 9.46e-01 -1.100303262e+03 5.584999486e+02 3.4e-04 0.46
14 6.2e-01 8.9e-01 3.5e+01 9.87e-01 -8.693299801e+02 5.054054226e+02 2.8e-04 0.49
15 1.8e-01 2.9e-01 1.0e+01 9.89e-01 -1.579524678e+02 2.544986087e+02 8.4e-05 0.52
16 1.0e-01 1.8e-01 5.8e+00 1.01e+00 -1.917038343e+01 2.099840119e+02 4.7e-05 0.55
17 1.0e-01 1.8e-01 5.8e+00 1.02e+00 -1.750108722e+01 2.103208260e+02 4.7e-05 0.59
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.630739910e+01 2.107226988e+02 4.0e-05 0.62
19 4.3e-02 9.8e-02 2.5e+00 1.01e+00 9.144567233e+01 1.875633165e+02 2.0e-05 0.66
20 1.2e-02 1.6e-01 7.1e-01 1.01e+00 1.464228868e+02 1.736010351e+02 5.7e-06 0.69
21 4.7e-03 3.6e-01 2.8e-01 1.01e+00 1.584913147e+02 1.691031427e+02 2.3e-06 0.73
22 1.2e-03 1.8e-01 7.5e-02 1.01e+00 1.645724838e+02 1.674403768e+02 6.1e-07 0.76
23 6.6e-04 1.2e-01 4.1e-02 9.80e-01 1.655128055e+02 1.670779636e+02 3.4e-07 0.79
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662879400e+02 1.667831351e+02 1.1e-07 0.83
25 6.9e-05 1.0e-01 4.5e-03 1.01e+00 1.665171013e+02 1.666889250e+02 3.8e-08 0.86
26 3.1e-05 8.7e-02 2.1e-03 1.01e+00 1.665829612e+02 1.666610876e+02 1.8e-08 0.89
27 2.8e-05 7.9e-02 1.9e-03 1.01e+00 1.665892616e+02 1.666595804e+02 1.6e-08 0.93
28 2.5e-05 7.2e-02 1.7e-03 1.00e+00 1.665940969e+02 1.666573669e+02 1.4e-08 0.96
29 2.3e-05 6.6e-02 1.5e-03 1.00e+00 1.665985128e+02 1.666554475e+02 1.3e-08 1.00
30 2.0e-05 6.0e-02 1.4e-03 1.00e+00 1.666024745e+02 1.666537079e+02 1.1e-08 1.03
31 1.8e-05 5.5e-02 1.2e-03 1.00e+00 1.666060355e+02 1.666521393e+02 1.0e-08 1.06
32 1.7e-05 5.0e-02 1.1e-03 1.00e+00 1.666092356e+02 1.666507237e+02 9.3e-09 1.10
33 1.5e-05 4.6e-02 9.9e-04 1.00e+00 1.666121118e+02 1.666494467e+02 8.4e-09 1.13
34 1.3e-05 4.2e-02 8.9e-04 1.00e+00 1.666146969e+02 1.666482948e+02 7.5e-09 1.17
35 1.2e-05 3.9e-02 8.0e-04 1.00e+00 1.666170207e+02 1.666472558e+02 6.8e-09 1.20
36 1.1e-05 3.5e-02 7.2e-04 1.00e+00 1.666191095e+02 1.666463189e+02 6.1e-09 1.23
37 9.8e-06 3.3e-02 6.5e-04 1.00e+00 1.666209874e+02 1.666454739e+02 5.5e-09 1.26
38 8.8e-06 3.0e-02 5.9e-04 1.00e+00 1.666226758e+02 1.666447120e+02 5.0e-09 1.29
39 7.9e-06 2.8e-02 5.3e-04 1.00e+00 1.666241937e+02 1.666440250e+02 4.5e-09 1.33
40 7.1e-06 2.6e-02 4.7e-04 1.00e+00 1.666255585e+02 1.666434057e+02 4.0e-09 1.35
41 6.4e-06 2.4e-02 4.3e-04 1.00e+00 1.666267857e+02 1.666428473e+02 3.6e-09 1.39
42 5.8e-06 2.3e-02 3.8e-04 1.00e+00 1.666278892e+02 1.666423440e+02 3.3e-09 1.42
43 5.2e-06 2.1e-02 3.5e-04 1.00e+00 1.666288815e+02 1.666418903e+02 2.9e-09 1.45
44 4.7e-06 2.0e-02 3.1e-04 1.00e+00 1.666297739e+02 1.666414813e+02 2.6e-09 1.48
45 4.2e-06 1.9e-02 2.8e-04 1.00e+00 1.666305763e+02 1.666411127e+02 2.4e-09 1.51
46 3.8e-06 1.7e-02 2.5e-04 1.00e+00 1.666312979e+02 1.666407804e+02 2.1e-09 1.54
47 3.4e-06 1.7e-02 2.3e-04 1.00e+00 1.666319468e+02 1.666404808e+02 1.9e-09 1.57
48 3.1e-06 1.6e-02 2.0e-04 1.00e+00 1.666325303e+02 1.666402107e+02 1.7e-09 1.60
49 2.8e-06 1.5e-02 1.8e-04 1.00e+00 1.666330550e+02 1.666399672e+02 1.6e-09 1.63
50 2.5e-06 1.4e-02 1.7e-04 1.00e+00 1.666335268e+02 1.666397477e+02 1.4e-09 1.66
51 2.2e-06 1.4e-02 1.5e-04 1.00e+00 1.666339512e+02 1.666395499e+02 1.3e-09 1.69
52 2.0e-06 1.3e-02 1.3e-04 1.00e+00 1.666343329e+02 1.666393717e+02 1.1e-09 1.72
53 1.8e-06 1.2e-02 1.2e-04 1.00e+00 1.666346762e+02 1.666392110e+02 1.0e-09 1.75
54 1.6e-06 1.2e-02 1.1e-04 1.00e+00 1.666349850e+02 1.666390663e+02 9.2e-10 1.79
55 1.5e-06 1.2e-02 9.8e-05 1.00e+00 1.666352627e+02 1.666389359e+02 8.3e-10 1.81
56 1.3e-06 1.1e-02 8.8e-05 1.00e+00 1.666355126e+02 1.666388184e+02 7.4e-10 1.84
57 1.2e-06 1.1e-02 7.9e-05 1.00e+00 1.666357373e+02 1.666387125e+02 6.7e-10 1.87
58 1.1e-06 1.1e-02 7.1e-05 1.00e+00 1.666359394e+02 1.666386170e+02 6.0e-10 1.90
59 9.6e-07 1.0e-02 6.4e-05 1.00e+00 1.666361212e+02 1.666385311e+02 5.4e-10 1.94
60 8.7e-07 1.0e-02 5.8e-05 1.00e+00 1.666362847e+02 1.666384536e+02 4.9e-10 1.96
61 7.8e-07 9.9e-03 5.2e-05 1.00e+00 1.666364317e+02 1.666383837e+02 4.4e-10 1.99
62 7.0e-07 9.7e-03 4.7e-05 1.00e+00 1.666365640e+02 1.666383208e+02 4.0e-10 2.02
63 6.3e-07 9.5e-03 4.2e-05 1.00e+00 1.666366829e+02 1.666382640e+02 3.6e-10 2.05
64 5.7e-07 9.3e-03 3.8e-05 1.00e+00 1.666367899e+02 1.666382129e+02 3.2e-10 2.08
65 5.1e-07 9.2e-03 3.4e-05 1.00e+00 1.666368860e+02 1.666381667e+02 2.9e-10 2.10
66 4.6e-07 9.0e-03 3.1e-05 1.00e+00 1.666369725e+02 1.666381252e+02 2.6e-10 2.13
67 4.1e-07 8.9e-03 2.8e-05 1.00e+00 1.666370503e+02 1.666380877e+02 2.3e-10 2.16
68 3.7e-07 8.8e-03 2.5e-05 1.00e+00 1.666371202e+02 1.666380539e+02 2.1e-10 2.19
69 3.4e-07 8.7e-03 2.2e-05 1.00e+00 1.666371831e+02 1.666380234e+02 1.9e-10 2.22
70 3.0e-07 8.6e-03 2.0e-05 1.00e+00 1.666372397e+02 1.666379959e+02 1.7e-10 2.24
71 2.7e-07 8.5e-03 1.8e-05 1.00e+00 1.666372905e+02 1.666379712e+02 1.5e-10 2.27
72 2.4e-07 8.5e-03 1.6e-05 9.99e-01 1.666373363e+02 1.666379489e+02 1.4e-10 2.30
73 2.2e-07 8.4e-03 1.5e-05 9.99e-01 1.666373774e+02 1.666379288e+02 1.2e-10 2.33
74 2.0e-07 8.3e-03 1.3e-05 9.99e-01 1.666374144e+02 1.666379107e+02 1.1e-10 2.35
75 1.8e-07 8.3e-03 1.2e-05 1.00e+00 1.666374477e+02 1.666378944e+02 1.0e-10 2.38
76 1.6e-07 8.2e-03 1.1e-05 1.00e+00 1.666374777e+02 1.666378797e+02 9.1e-11 2.41
77 1.4e-07 8.2e-03 9.6e-06 1.00e+00 1.666375048e+02 1.666378664e+02 8.1e-11 2.43
78 1.3e-07 8.1e-03 8.7e-06 1.00e+00 1.666375290e+02 1.666378545e+02 7.3e-11 2.46
79 1.2e-07 8.1e-03 7.8e-06 9.97e-01 1.666375508e+02 1.666378438e+02 6.6e-11 2.49
80 1.1e-07 8.0e-03 7.0e-06 1.00e+00 1.666375705e+02 1.666378341e+02 5.9e-11 2.53
81 9.5e-08 8.0e-03 6.3e-06 1.00e+00 1.666375882e+02 1.666378254e+02 5.3e-11 2.55
82 8.5e-08 8.0e-03 5.7e-06 1.00e+00 1.666376041e+02 1.666378176e+02 4.8e-11 2.58
83 7.7e-08 7.9e-03 5.1e-06 1.00e+00 1.666376184e+02 1.666378105e+02 4.3e-11 2.61
84 6.9e-08 7.9e-03 4.6e-06 9.97e-01 1.666376313e+02 1.666378042e+02 3.9e-11 2.64
85 6.2e-08 7.9e-03 4.1e-06 1.00e+00 1.666376428e+02 1.666377985e+02 3.5e-11 2.66
86 5.6e-08 7.8e-03 3.7e-06 1.00e+00 1.666376533e+02 1.666377934e+02 3.2e-11 2.69
87 5.0e-08 7.8e-03 3.4e-06 1.00e+00 1.666376627e+02 1.666377888e+02 2.8e-11 2.72
88 4.5e-08 7.8e-03 3.0e-06 1.00e+00 1.666376711e+02 1.666377846e+02 2.6e-11 2.75
89 4.1e-08 7.8e-03 2.7e-06 9.98e-01 1.666376787e+02 1.666377808e+02 2.3e-11 2.78
90 3.7e-08 7.0e-03 2.4e-06 1.00e+00 1.666376856e+02 1.666377774e+02 2.1e-11 2.81
91 3.3e-08 6.3e-03 2.2e-06 1.01e+00 1.666376919e+02 1.666377743e+02 1.9e-11 2.83
92 3.0e-08 5.7e-03 2.0e-06 1.00e+00 1.666376975e+02 1.666377716e+02 1.7e-11 2.86
93 2.7e-08 5.1e-03 1.8e-06 1.00e+00 1.666377024e+02 1.666377691e+02 1.5e-11 2.89
94 2.4e-08 4.6e-03 1.6e-06 9.99e-01 1.666377069e+02 1.666377669e+02 1.4e-11 2.92
95 2.2e-08 4.1e-03 1.4e-06 1.01e+00 1.666377110e+02 1.666377649e+02 1.2e-11 2.95
96 2.0e-08 3.7e-03 1.3e-06 9.95e-01 1.666377146e+02 1.666377631e+02 1.1e-11 2.97
97 1.8e-08 3.3e-03 1.2e-06 1.01e+00 1.666377181e+02 1.666377614e+02 1.0e-11 3.00
98 1.6e-08 3.0e-03 1.1e-06 9.93e-01 1.666377210e+02 1.666377600e+02 9.0e-12 3.03
99 1.4e-08 2.7e-03 9.5e-07 9.91e-01 1.666377236e+02 1.666377587e+02 8.1e-12 3.06
100 1.3e-08 2.4e-03 8.5e-07 1.02e+00 1.666377261e+02 1.666377575e+02 7.4e-12 3.09
101 1.2e-08 2.2e-03 7.7e-07 1.01e+00 1.666377283e+02 1.666377564e+02 6.7e-12 3.12
102 1.0e-08 2.0e-03 6.9e-07 1.03e+00 1.666377305e+02 1.666377553e+02 6.1e-12 3.15
103 9.4e-09 1.8e-03 6.2e-07 1.01e+00 1.666377322e+02 1.666377545e+02 5.5e-12 3.17
104 8.4e-09 1.6e-03 5.6e-07 9.79e-01 1.666377337e+02 1.666377537e+02 4.9e-12 3.20
105 7.6e-09 1.4e-03 5.0e-07 9.87e-01 1.666377350e+02 1.666377531e+02 4.5e-12 3.23
106 6.9e-09 1.3e-03 4.5e-07 1.01e+00 1.666377362e+02 1.666377525e+02 4.0e-12 3.26
107 6.2e-09 1.2e-03 4.1e-07 9.93e-01 1.666377373e+02 1.666377519e+02 3.6e-12 3.28
108 5.6e-09 1.0e-03 3.7e-07 1.05e+00 1.666377385e+02 1.666377513e+02 3.3e-12 3.31
109 5.0e-09 9.4e-04 3.3e-07 1.02e+00 1.666377394e+02 1.666377509e+02 3.0e-12 3.34
110 4.7e-09 8.5e-04 3.0e-07 1.17e+00 1.666377408e+02 1.666377501e+02 3.0e-12 3.36
111 4.3e-09 7.6e-04 2.7e-07 1.05e+00 1.666377416e+02 1.666377497e+02 2.7e-12 3.39
112 3.8e-09 9.5e-05 3.3e-08 1.04e+00 1.666377464e+02 1.666377474e+02 3.0e-13 3.42
Interior-point optimizer terminated. Time: 3.42.
Optimizer terminated. Time: 3.45
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774641e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6663774738e+02 Viol. con: 0e+00 var: 5e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.47 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.07 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 : 1.45e+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 -1.281256834e+05 2.000000000e+00 1.0e+00 0.11
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259652930e+05 3.580273357e+00 4.8e-01 0.14
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.199460141e+05 1.005567700e+01 1.9e-01 0.17
3 2.9e+02 3.7e+02 1.6e+04 -8.41e-01 -1.152369813e+05 6.134025148e+01 1.3e-01 0.20
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.125938772e+05 2.293614151e+03 1.3e-01 0.23
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.359809744e+04 9.834633456e+03 3.2e-02 0.25
6 3.6e+01 4.5e+01 2.0e+03 -1.82e-01 -4.627585276e+04 1.009594731e+04 1.6e-02 0.28
7 2.1e+01 2.7e+01 1.2e+03 2.90e-01 -3.084200646e+04 6.881643288e+03 9.2e-03 0.32
8 1.2e+01 1.6e+01 6.7e+02 5.65e-01 -1.932390574e+04 4.483624534e+03 5.4e-03 0.34
9 4.7e+00 6.0e+00 2.6e+02 7.54e-01 -7.701974505e+03 2.174744087e+03 2.1e-03 0.38
10 2.3e+00 2.9e+00 1.3e+02 9.26e-01 -3.516854262e+03 1.397318546e+03 1.0e-03 0.41
11 1.5e+00 1.9e+00 8.4e+01 9.76e-01 -2.278053795e+03 9.686736176e+02 6.7e-04 0.44
12 8.5e-01 1.1e+00 4.7e+01 9.85e-01 -1.223619719e+03 6.225979495e+02 3.8e-04 0.47
13 7.5e-01 9.9e-01 4.2e+01 9.54e-01 -1.085110113e+03 5.622483285e+02 3.3e-04 0.51
14 3.7e-01 4.9e-01 2.1e+01 9.85e-01 -4.368207537e+02 3.757311638e+02 1.7e-04 0.54
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.425570557e+02 2.585351475e+02 8.2e-05 0.57
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 5.484165996e+00 2.044129609e+02 4.1e-05 0.60
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.455514647e+01 2.066563752e+02 4.0e-05 0.63
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 6.001224828e+01 1.948456427e+02 2.8e-05 0.66
19 2.9e-02 7.3e-02 1.7e+00 1.01e+00 1.156053677e+02 1.809647650e+02 1.4e-05 0.68
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.526398489e+02 1.716139615e+02 4.0e-06 0.71
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622522157e+02 1.679613481e+02 1.2e-06 0.74
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639807361e+02 1.674413343e+02 7.3e-07 0.77
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656593404e+02 1.668669762e+02 2.6e-07 0.80
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661981700e+02 1.666657456e+02 1.0e-07 0.83
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662345741e+02 1.666552712e+02 9.2e-08 0.86
26 1.6e-04 7.9e-02 9.9e-03 1.01e+00 1.662646316e+02 1.666431177e+02 8.3e-08 0.89
27 1.4e-04 7.2e-02 8.9e-03 1.01e+00 1.662918633e+02 1.666323885e+02 7.5e-08 0.92
28 1.3e-04 6.6e-02 8.0e-03 1.01e+00 1.663162465e+02 1.666226260e+02 6.7e-08 0.95
29 1.2e-04 6.0e-02 7.2e-03 1.01e+00 1.663381286e+02 1.666137934e+02 6.0e-08 0.97
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663577605e+02 1.666057957e+02 5.4e-08 1.00
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663753754e+02 1.665985554e+02 4.9e-08 1.03
32 8.4e-05 4.6e-02 5.3e-03 1.01e+00 1.663911813e+02 1.665920011e+02 4.4e-08 1.05
33 7.6e-05 4.2e-02 4.7e-03 1.01e+00 1.664053650e+02 1.665860686e+02 4.0e-08 1.08
34 6.8e-05 3.9e-02 4.3e-03 1.01e+00 1.664180944e+02 1.665806998e+02 3.6e-08 1.11
35 6.2e-05 3.5e-02 3.8e-03 1.01e+00 1.664295197e+02 1.665758421e+02 3.2e-08 1.13
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664397756e+02 1.665714477e+02 2.9e-08 1.16
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664489829e+02 1.665674732e+02 2.6e-08 1.19
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664572498e+02 1.665638794e+02 2.3e-08 1.22
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664646730e+02 1.665606304e+02 2.1e-08 1.25
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664713394e+02 1.665576937e+02 1.9e-08 1.28
41 3.3e-05 2.2e-02 2.0e-03 1.00e+00 1.664773268e+02 1.665550398e+02 1.7e-08 1.31
42 2.9e-05 2.1e-02 1.8e-03 1.00e+00 1.664827049e+02 1.665526419e+02 1.5e-08 1.34
43 2.6e-05 2.0e-02 1.7e-03 1.00e+00 1.664875361e+02 1.665504758e+02 1.4e-08 1.37
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664918766e+02 1.665485195e+02 1.2e-08 1.40
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664957765e+02 1.665467529e+02 1.1e-08 1.43
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664992810e+02 1.665451580e+02 1.0e-08 1.46
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665024304e+02 1.665437184e+02 9.1e-09 1.48
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665052611e+02 1.665424193e+02 8.2e-09 1.51
49 1.4e-05 1.4e-02 8.8e-04 1.00e+00 1.665078056e+02 1.665412473e+02 7.4e-09 1.54
50 1.3e-05 1.4e-02 7.9e-04 1.00e+00 1.665100931e+02 1.665401900e+02 6.6e-09 1.57
51 1.1e-05 1.3e-02 7.1e-04 1.00e+00 1.665121498e+02 1.665392366e+02 6.0e-09 1.60
52 1.0e-05 1.2e-02 6.4e-04 1.00e+00 1.665139991e+02 1.665383769e+02 5.4e-09 1.63
53 9.2e-06 1.2e-02 5.8e-04 1.00e+00 1.665156621e+02 1.665376020e+02 4.8e-09 1.65
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665171577e+02 1.665369034e+02 4.3e-09 1.68
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665185029e+02 1.665362739e+02 3.9e-09 1.71
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665197128e+02 1.665357067e+02 3.5e-09 1.74
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665208011e+02 1.665351956e+02 3.2e-09 1.77
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217800e+02 1.665347351e+02 2.9e-09 1.80
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226606e+02 1.665343202e+02 2.6e-09 1.83
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234527e+02 1.665339464e+02 2.3e-09 1.86
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241652e+02 1.665336096e+02 2.1e-09 1.89
62 3.6e-06 9.5e-03 2.2e-04 1.00e+00 1.665248061e+02 1.665333061e+02 1.9e-09 1.92
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253825e+02 1.665330326e+02 1.7e-09 1.94
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665259010e+02 1.665327861e+02 1.5e-09 1.97
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263673e+02 1.665325639e+02 1.4e-09 2.01
66 2.3e-06 9.0e-03 1.5e-04 1.00e+00 1.665267868e+02 1.665323638e+02 1.2e-09 2.03
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271642e+02 1.665321835e+02 1.1e-09 2.06
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665275036e+02 1.665320211e+02 1.0e-09 2.09
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665278090e+02 1.665318747e+02 9.0e-10 2.12
70 1.5e-06 8.6e-03 9.6e-05 1.00e+00 1.665280837e+02 1.665317429e+02 8.1e-10 2.15
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283309e+02 1.665316242e+02 7.3e-10 2.18
72 1.2e-06 8.5e-03 7.8e-05 1.00e+00 1.665285532e+02 1.665315172e+02 6.5e-10 2.21
73 1.1e-06 8.5e-03 7.0e-05 1.00e+00 1.665287532e+02 1.665314209e+02 5.9e-10 2.23
74 1.0e-06 8.4e-03 6.3e-05 1.00e+00 1.665289331e+02 1.665313341e+02 5.3e-10 2.27
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290950e+02 1.665312558e+02 4.8e-10 2.29
76 8.2e-07 8.3e-03 5.1e-05 1.00e+00 1.665292406e+02 1.665311853e+02 4.3e-10 2.32
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293715e+02 1.665311218e+02 3.9e-10 2.34
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294893e+02 1.665310646e+02 3.5e-10 2.37
79 6.0e-07 8.2e-03 3.7e-05 1.00e+00 1.665295952e+02 1.665310130e+02 3.1e-10 2.40
80 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.665296904e+02 1.665309664e+02 2.8e-10 2.43
81 4.8e-07 8.1e-03 3.0e-05 9.99e-01 1.665297761e+02 1.665309245e+02 2.5e-10 2.47
82 4.4e-07 8.1e-03 2.7e-05 1.00e+00 1.665298531e+02 1.665308867e+02 2.3e-10 2.50
83 3.9e-07 8.1e-03 2.5e-05 9.99e-01 1.665299223e+02 1.665308527e+02 2.1e-10 2.53
84 3.5e-07 8.0e-03 2.2e-05 1.00e+00 1.665299846e+02 1.665308219e+02 1.8e-10 2.56
85 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.665300406e+02 1.665307942e+02 1.7e-10 2.59
86 2.9e-07 8.0e-03 1.8e-05 9.99e-01 1.665300910e+02 1.665307693e+02 1.5e-10 2.62
87 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.665301363e+02 1.665307468e+02 1.3e-10 2.65
88 2.3e-07 7.9e-03 1.4e-05 9.99e-01 1.665301771e+02 1.665307265e+02 1.2e-10 2.68
89 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.665302138e+02 1.665307083e+02 1.1e-10 2.71
90 1.9e-07 7.9e-03 1.2e-05 9.99e-01 1.665302468e+02 1.665306918e+02 9.8e-11 2.74
91 1.7e-07 7.9e-03 1.1e-05 9.98e-01 1.665302764e+02 1.665306770e+02 8.8e-11 2.76
92 1.5e-07 7.9e-03 9.5e-06 9.99e-01 1.665303031e+02 1.665306637e+02 7.9e-11 2.79
93 1.4e-07 7.8e-03 8.6e-06 1.00e+00 1.665303272e+02 1.665306516e+02 7.2e-11 2.82
94 1.2e-07 7.8e-03 7.7e-06 9.98e-01 1.665303488e+02 1.665306408e+02 6.4e-11 2.84
95 1.1e-07 7.8e-03 6.9e-06 9.95e-01 1.665303682e+02 1.665306311e+02 5.8e-11 2.87
96 1.0e-07 7.8e-03 6.2e-06 1.00e+00 1.665303857e+02 1.665306223e+02 5.2e-11 2.90
97 9.0e-08 7.0e-03 5.6e-06 1.00e+00 1.665304016e+02 1.665306143e+02 4.7e-11 2.93
98 8.1e-08 6.3e-03 5.1e-06 9.99e-01 1.665304158e+02 1.665306072e+02 4.2e-11 2.96
99 7.3e-08 5.7e-03 4.5e-06 1.00e+00 1.665304285e+02 1.665306008e+02 3.8e-11 2.99
100 6.5e-08 5.1e-03 4.1e-06 1.01e+00 1.665304401e+02 1.665305949e+02 3.4e-11 3.02
101 5.9e-08 4.6e-03 3.7e-06 9.94e-01 1.665304504e+02 1.665305898e+02 3.1e-11 3.05
102 5.3e-08 4.1e-03 3.3e-06 9.97e-01 1.665304597e+02 1.665305852e+02 2.8e-11 3.08
103 4.8e-08 3.7e-03 3.0e-06 9.92e-01 1.665304680e+02 1.665305810e+02 2.5e-11 3.11
104 4.3e-08 3.4e-03 2.7e-06 9.96e-01 1.665304755e+02 1.665305772e+02 2.2e-11 3.14
105 3.9e-08 3.0e-03 2.4e-06 9.94e-01 1.665304823e+02 1.665305738e+02 2.0e-11 3.16
106 3.5e-08 2.7e-03 2.2e-06 9.94e-01 1.665304884e+02 1.665305708e+02 1.8e-11 3.19
107 3.1e-08 2.4e-03 2.0e-06 1.00e+00 1.665304939e+02 1.665305680e+02 1.6e-11 3.22
108 2.8e-08 2.2e-03 1.8e-06 9.90e-01 1.665304988e+02 1.665305656e+02 1.5e-11 3.24
109 2.5e-08 2.0e-03 1.6e-06 9.97e-01 1.665305032e+02 1.665305633e+02 1.3e-11 3.27
110 2.3e-08 1.8e-03 1.4e-06 1.00e+00 1.665305072e+02 1.665305613e+02 1.2e-11 3.30
111 2.1e-08 1.6e-03 1.3e-06 1.03e+00 1.665305113e+02 1.665305592e+02 1.1e-11 3.32
112 1.8e-08 1.4e-03 1.2e-06 9.88e-01 1.665305145e+02 1.665305576e+02 9.8e-12 3.35
113 1.7e-08 1.3e-03 1.0e-06 1.02e+00 1.665305176e+02 1.665305560e+02 8.9e-12 3.37
114 1.5e-08 1.2e-03 9.4e-07 9.73e-01 1.665305201e+02 1.665305548e+02 8.0e-12 3.40
115 1.3e-08 1.1e-03 8.4e-07 9.66e-01 1.665305224e+02 1.665305537e+02 7.2e-12 3.43
116 1.2e-08 9.5e-04 7.6e-07 9.98e-01 1.665305245e+02 1.665305526e+02 6.5e-12 3.46
117 1.1e-08 8.5e-04 6.8e-07 9.99e-01 1.665305263e+02 1.665305517e+02 5.9e-12 3.49
118 9.8e-09 7.7e-04 6.1e-07 9.86e-01 1.665305280e+02 1.665305508e+02 5.3e-12 3.52
119 8.8e-09 6.9e-04 5.5e-07 9.45e-01 1.665305295e+02 1.665305501e+02 4.7e-12 3.55
120 8.0e-09 6.2e-04 5.0e-07 1.08e+00 1.665305314e+02 1.665305491e+02 4.4e-12 3.57
121 7.2e-09 5.6e-04 4.5e-07 9.78e-01 1.665305326e+02 1.665305485e+02 4.0e-12 3.60
122 6.4e-09 5.0e-04 4.0e-07 1.01e+00 1.665305337e+02 1.665305480e+02 3.6e-12 3.63
123 5.8e-09 4.5e-04 3.6e-07 1.07e+00 1.665305350e+02 1.665305473e+02 3.4e-12 3.66
124 5.2e-09 4.1e-04 3.3e-07 1.07e+00 1.665305360e+02 1.665305467e+02 3.1e-12 3.69
125 4.7e-09 3.7e-04 2.9e-07 9.30e-01 1.665305367e+02 1.665305464e+02 2.8e-12 3.72
126 4.2e-09 3.3e-04 2.6e-07 9.47e-01 1.665305374e+02 1.665305461e+02 2.5e-12 3.74
127 3.9e-09 3.0e-04 2.4e-07 1.13e+00 1.665305383e+02 1.665305456e+02 2.4e-12 3.77
128 3.5e-09 2.7e-04 2.1e-07 1.01e+00 1.665305388e+02 1.665305453e+02 2.2e-12 3.80
129 3.2e-09 2.4e-04 1.9e-07 1.03e+00 1.665305393e+02 1.665305451e+02 2.0e-12 3.83
130 9.7e-10 2.5e-05 2.0e-08 1.00e+00 1.665305427e+02 1.665305434e+02 2.1e-13 3.86
Interior-point optimizer terminated. Time: 3.86.
Optimizer terminated. Time: 3.89
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054275e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.6653054336e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.91 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 : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281219225e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259510014e+05 3.575672583e+00 4.8e-01 0.12
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.198706844e+05 1.013520834e+01 1.9e-01 0.15
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.151566025e+05 6.243045934e+01 1.2e-01 0.18
4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125384739e+05 2.273182447e+03 1.2e-01 0.21
5 7.5e+01 9.6e+01 4.1e+03 -7.53e-01 -7.445605692e+04 9.639358298e+03 3.3e-02 0.25
6 3.3e+01 4.2e+01 1.8e+03 -1.95e-01 -4.330177493e+04 1.030586513e+04 1.4e-02 0.28
7 1.9e+01 2.5e+01 1.1e+03 3.42e-01 -2.853323968e+04 6.914886908e+03 8.5e-03 0.31
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.808894599e+04 4.388508574e+03 5.0e-03 0.34
9 4.5e+00 5.7e+00 2.5e+02 7.74e-01 -7.326211268e+03 2.100233236e+03 2.0e-03 0.37
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.203273031e+03 1.327239557e+03 9.3e-04 0.40
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.002125652e+03 8.889961202e+02 6.0e-04 0.43
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.160050419e+03 6.061241281e+02 3.6e-04 0.47
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.074201138e+02 5.061550143e+02 2.9e-04 0.50
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.159485906e+02 3.800108719e+02 1.6e-04 0.53
15 1.8e-01 2.4e-01 9.9e+00 9.93e-01 -1.329961243e+02 2.580947915e+02 8.0e-05 0.56
16 7.9e-02 1.3e-01 4.5e+00 1.01e+00 2.194822440e+01 1.995884708e+02 3.7e-05 0.59
17 6.8e-02 1.1e-01 3.9e+00 1.02e+00 4.516590471e+01 1.977868721e+02 3.2e-05 0.63
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.183232439e+02 1.806140787e+02 1.3e-05 0.66
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.533664128e+02 1.714094196e+02 3.8e-06 0.69
20 2.9e-03 2.4e-01 1.7e-01 1.00e+00 1.613683629e+02 1.680689300e+02 1.4e-06 0.72
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635977315e+02 1.674592383e+02 8.2e-07 0.75
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656258685e+02 1.668059046e+02 2.6e-07 0.78
23 1.8e-04 1.1e-01 1.1e-02 1.01e+00 1.661712121e+02 1.666014864e+02 9.5e-08 0.81
24 8.3e-05 8.8e-02 5.3e-03 1.01e+00 1.663353036e+02 1.665344373e+02 4.4e-08 0.85
25 3.7e-05 8.0e-02 2.4e-03 1.01e+00 1.664121449e+02 1.665025022e+02 2.0e-08 0.88
26 3.4e-05 7.3e-02 2.2e-03 1.01e+00 1.664199918e+02 1.665013355e+02 1.8e-08 0.91
27 3.0e-05 6.6e-02 1.9e-03 1.01e+00 1.664255125e+02 1.664986939e+02 1.6e-08 0.94
28 2.7e-05 6.1e-02 1.7e-03 1.01e+00 1.664306028e+02 1.664964519e+02 1.5e-08 0.97
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664351575e+02 1.664944095e+02 1.3e-08 1.00
30 2.2e-05 5.1e-02 1.4e-03 1.01e+00 1.664392518e+02 1.664925686e+02 1.2e-08 1.04
31 2.0e-05 4.6e-02 1.3e-03 1.00e+00 1.664429293e+02 1.664909064e+02 1.1e-08 1.07
32 1.8e-05 4.2e-02 1.1e-03 1.00e+00 1.664462335e+02 1.664894063e+02 9.7e-09 1.10
33 1.6e-05 3.9e-02 1.0e-03 1.00e+00 1.664492025e+02 1.664880526e+02 8.7e-09 1.13
34 1.5e-05 3.6e-02 9.3e-04 1.00e+00 1.664518706e+02 1.664868313e+02 7.8e-09 1.16
35 1.3e-05 3.3e-02 8.3e-04 1.00e+00 1.664542686e+02 1.664857297e+02 7.1e-09 1.20
36 1.2e-05 3.0e-02 7.5e-04 1.00e+00 1.664564241e+02 1.664847362e+02 6.4e-09 1.23
37 1.1e-05 2.8e-02 6.8e-04 1.00e+00 1.664583617e+02 1.664838403e+02 5.7e-09 1.26
38 9.5e-06 2.6e-02 6.1e-04 1.00e+00 1.664601037e+02 1.664830326e+02 5.2e-09 1.29
39 8.6e-06 2.4e-02 5.5e-04 1.00e+00 1.664616699e+02 1.664823045e+02 4.6e-09 1.33
40 7.7e-06 2.3e-02 4.9e-04 1.00e+00 1.664630783e+02 1.664816482e+02 4.2e-09 1.36
41 6.9e-06 2.1e-02 4.4e-04 1.00e+00 1.664643449e+02 1.664810569e+02 3.8e-09 1.39
42 6.3e-06 2.0e-02 4.0e-04 1.00e+00 1.664654840e+02 1.664805240e+02 3.4e-09 1.42
43 5.6e-06 1.9e-02 3.6e-04 1.00e+00 1.664665085e+02 1.664800440e+02 3.0e-09 1.45
44 5.1e-06 1.7e-02 3.2e-04 1.00e+00 1.664674301e+02 1.664796115e+02 2.7e-09 1.48
45 4.6e-06 1.6e-02 2.9e-04 1.00e+00 1.664682590e+02 1.664792220e+02 2.5e-09 1.52
46 4.1e-06 1.6e-02 2.6e-04 1.00e+00 1.664690047e+02 1.664788711e+02 2.2e-09 1.55
47 3.7e-06 1.5e-02 2.4e-04 1.00e+00 1.664696755e+02 1.664785550e+02 2.0e-09 1.58
48 3.3e-06 1.4e-02 2.1e-04 1.00e+00 1.664702790e+02 1.664782703e+02 1.8e-09 1.61
49 3.0e-06 1.3e-02 1.9e-04 1.00e+00 1.664708218e+02 1.664780139e+02 1.6e-09 1.64
50 2.7e-06 1.3e-02 1.7e-04 1.00e+00 1.664713101e+02 1.664777829e+02 1.5e-09 1.67
51 2.4e-06 1.2e-02 1.5e-04 1.00e+00 1.664717495e+02 1.664775749e+02 1.3e-09 1.70
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664721449e+02 1.664773877e+02 1.2e-09 1.73
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664725006e+02 1.664772192e+02 1.1e-09 1.76
54 1.8e-06 1.1e-02 1.1e-04 1.00e+00 1.664728208e+02 1.664770674e+02 9.6e-10 1.79
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664731089e+02 1.664769309e+02 8.6e-10 1.82
56 1.4e-06 1.0e-02 9.1e-05 1.00e+00 1.664733682e+02 1.664768079e+02 7.7e-10 1.85
57 1.3e-06 1.0e-02 8.2e-05 1.00e+00 1.664736016e+02 1.664766973e+02 7.0e-10 1.88
58 1.2e-06 9.9e-03 7.4e-05 1.00e+00 1.664738115e+02 1.664765977e+02 6.3e-10 1.91
59 1.0e-06 9.6e-03 6.7e-05 1.00e+00 1.664740005e+02 1.664765080e+02 5.6e-10 1.94
60 9.4e-07 9.4e-03 6.0e-05 1.00e+00 1.664741706e+02 1.664764274e+02 5.1e-10 1.97
61 8.4e-07 9.3e-03 5.4e-05 1.00e+00 1.664743236e+02 1.664763547e+02 4.6e-10 2.00
62 7.6e-07 9.1e-03 4.9e-05 1.00e+00 1.664744613e+02 1.664762893e+02 4.1e-10 2.03
63 6.8e-07 8.9e-03 4.4e-05 1.00e+00 1.664745851e+02 1.664762304e+02 3.7e-10 2.06
64 6.2e-07 8.8e-03 3.9e-05 1.00e+00 1.664746966e+02 1.664761773e+02 3.3e-10 2.09
65 5.5e-07 8.7e-03 3.5e-05 1.00e+00 1.664747969e+02 1.664761295e+02 3.0e-10 2.12
66 5.0e-07 8.6e-03 3.2e-05 1.00e+00 1.664748871e+02 1.664760865e+02 2.7e-10 2.15
67 4.5e-07 8.5e-03 2.9e-05 1.00e+00 1.664749683e+02 1.664760477e+02 2.4e-10 2.18
68 4.0e-07 8.4e-03 2.6e-05 1.00e+00 1.664750413e+02 1.664760128e+02 2.2e-10 2.21
69 3.6e-07 8.3e-03 2.3e-05 1.00e+00 1.664751069e+02 1.664759813e+02 2.0e-10 2.24
70 3.3e-07 8.2e-03 2.1e-05 1.00e+00 1.664751660e+02 1.664759529e+02 1.8e-10 2.28
71 2.9e-07 8.2e-03 1.9e-05 1.00e+00 1.664752192e+02 1.664759273e+02 1.6e-10 2.31
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752670e+02 1.664759043e+02 1.4e-10 2.34
73 2.4e-07 8.1e-03 1.5e-05 1.00e+00 1.664753100e+02 1.664758835e+02 1.3e-10 2.38
74 2.1e-07 8.0e-03 1.4e-05 1.00e+00 1.664753487e+02 1.664758649e+02 1.2e-10 2.41
75 1.9e-07 8.0e-03 1.2e-05 9.99e-01 1.664753835e+02 1.664758481e+02 1.0e-10 2.44
76 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.664754148e+02 1.664758329e+02 9.4e-11 2.47
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754430e+02 1.664758193e+02 8.5e-11 2.51
78 1.4e-07 7.9e-03 9.0e-06 1.00e+00 1.664754684e+02 1.664758070e+02 7.6e-11 2.55
79 1.3e-07 7.8e-03 8.1e-06 1.00e+00 1.664754912e+02 1.664757960e+02 6.9e-11 2.58
80 1.1e-07 7.8e-03 7.3e-06 1.00e+00 1.664755118e+02 1.664757860e+02 6.2e-11 2.62
81 1.0e-07 7.8e-03 6.6e-06 1.00e+00 1.664755303e+02 1.664757771e+02 5.6e-11 2.65
82 9.2e-08 7.7e-03 5.9e-06 1.00e+00 1.664755469e+02 1.664757690e+02 5.0e-11 2.68
83 8.3e-08 7.7e-03 5.3e-06 1.00e+00 1.664755620e+02 1.664757617e+02 4.5e-11 2.71
84 7.5e-08 7.7e-03 4.8e-06 9.98e-01 1.664755754e+02 1.664757552e+02 4.1e-11 2.74
85 6.7e-08 6.9e-03 4.3e-06 1.01e+00 1.664755877e+02 1.664757492e+02 3.7e-11 2.77
86 6.1e-08 6.2e-03 3.9e-06 1.00e+00 1.664755986e+02 1.664757440e+02 3.3e-11 2.79
87 5.5e-08 5.6e-03 3.5e-06 9.96e-01 1.664756084e+02 1.664757393e+02 3.0e-11 2.82
88 4.9e-08 5.0e-03 3.1e-06 1.01e+00 1.664756173e+02 1.664757349e+02 2.7e-11 2.85
89 4.4e-08 4.5e-03 2.8e-06 1.01e+00 1.664756257e+02 1.664757308e+02 2.4e-11 2.88
90 4.0e-08 4.1e-03 2.5e-06 9.96e-01 1.664756328e+02 1.664757274e+02 2.2e-11 2.91
91 3.6e-08 3.7e-03 2.3e-06 1.02e+00 1.664756397e+02 1.664757240e+02 2.0e-11 2.93
92 3.2e-08 3.3e-03 2.1e-06 9.98e-01 1.664756454e+02 1.664757212e+02 1.8e-11 2.96
93 2.9e-08 3.0e-03 1.9e-06 1.00e+00 1.664756505e+02 1.664757188e+02 1.6e-11 2.99
94 2.6e-08 2.7e-03 1.7e-06 9.95e-01 1.664756551e+02 1.664757165e+02 1.4e-11 3.02
95 2.4e-08 2.4e-03 1.5e-06 9.83e-01 1.664756592e+02 1.664757146e+02 1.3e-11 3.05
96 2.1e-08 2.2e-03 1.4e-06 9.77e-01 1.664756629e+02 1.664757128e+02 1.2e-11 3.08
97 1.9e-08 2.0e-03 1.2e-06 1.02e+00 1.664756666e+02 1.664757110e+02 1.1e-11 3.11
98 1.7e-08 1.8e-03 1.1e-06 1.00e+00 1.664756696e+02 1.664757095e+02 9.5e-12 3.14
99 1.5e-08 1.6e-03 9.8e-07 9.99e-01 1.664756723e+02 1.664757082e+02 8.6e-12 3.16
100 1.4e-08 1.4e-03 8.9e-07 1.01e+00 1.664756748e+02 1.664757070e+02 7.8e-12 3.19
101 1.3e-08 1.3e-03 8.0e-07 9.82e-01 1.664756769e+02 1.664757060e+02 7.0e-12 3.22
102 1.1e-08 1.2e-03 7.2e-07 1.05e+00 1.664756794e+02 1.664757048e+02 6.4e-12 3.26
103 1.0e-08 1.0e-03 6.5e-07 1.01e+00 1.664756812e+02 1.664757039e+02 5.8e-12 3.29
104 1.6e-09 1.1e-04 6.6e-08 9.51e-01 1.664756951e+02 1.664756975e+02 7.1e-13 3.32
Interior-point optimizer terminated. Time: 3.33.
Optimizer terminated. Time: 3.35
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569511e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.6647569749e+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: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280507096e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258771632e+05 3.574360056e+00 4.8e-01 0.48
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197600789e+05 1.017435011e+01 1.9e-01 0.51
3 2.9e+02 3.6e+02 1.6e+04 -8.40e-01 -1.150414989e+05 6.302888451e+01 1.2e-01 0.54
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124384921e+05 2.261517146e+03 1.2e-01 0.56
5 7.5e+01 9.6e+01 4.2e+03 -7.52e-01 -7.457681983e+04 9.579766631e+03 3.3e-02 0.59
6 3.0e+01 3.8e+01 1.7e+03 -1.97e-01 -4.046191484e+04 1.027491684e+04 1.3e-02 0.62
7 1.8e+01 2.3e+01 1.0e+03 3.92e-01 -2.694190910e+04 6.671828177e+03 7.9e-03 0.65
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.557347468e+04 3.882131878e+03 4.3e-03 0.68
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.391612972e+03 1.890793722e+03 1.7e-03 0.71
10 2.1e+00 2.6e+00 1.2e+02 9.41e-01 -3.269353950e+03 1.203688211e+03 9.2e-04 0.74
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.531765244e+03 7.332242807e+02 4.7e-04 0.77
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.183109149e+03 6.026631786e+02 3.6e-04 0.80
13 4.8e-01 6.1e-01 2.7e+01 9.74e-01 -6.438516097e+02 4.230527059e+02 2.2e-04 0.83
14 2.7e-01 3.5e-01 1.5e+01 1.00e+00 -2.811343000e+02 3.129249711e+02 1.2e-04 0.86
15 9.5e-02 1.5e-01 5.4e+00 1.00e+00 -7.757764445e+00 2.065002119e+02 4.4e-05 0.89
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.583984890e+01 2.085236061e+02 4.0e-05 0.91
17 5.8e-02 9.1e-02 3.3e+00 1.02e+00 6.552023431e+01 1.939173848e+02 2.7e-05 0.94
18 2.7e-02 7.0e-02 1.6e+00 1.02e+00 1.190060316e+02 1.797968066e+02 1.3e-05 0.96
19 7.7e-03 1.9e-01 4.5e-01 1.02e+00 1.538397290e+02 1.711142123e+02 3.6e-06 0.99
20 3.1e-03 2.3e-01 1.8e-01 1.01e+00 1.611244450e+02 1.680953620e+02 1.5e-06 1.04
21 1.8e-03 1.4e-01 1.1e-01 1.01e+00 1.633663633e+02 1.674681030e+02 8.8e-07 1.06
22 5.4e-04 1.3e-01 3.3e-02 1.01e+00 1.655413990e+02 1.667977186e+02 2.7e-07 1.09
23 3.9e-04 1.1e-01 2.4e-02 9.97e-01 1.657987051e+02 1.666979133e+02 2.0e-07 1.11
24 2.1e-04 7.7e-02 1.3e-02 9.85e-01 1.660841609e+02 1.665893174e+02 1.1e-07 1.14
25 1.8e-04 6.6e-02 1.1e-02 1.00e+00 1.661383553e+02 1.665728314e+02 9.5e-08 1.17
26 1.7e-04 6.0e-02 1.0e-02 1.01e+00 1.661706233e+02 1.665613908e+02 8.6e-08 1.20
27 1.5e-04 5.5e-02 9.3e-03 1.01e+00 1.661982810e+02 1.665498508e+02 7.7e-08 1.23
28 1.3e-04 5.0e-02 8.3e-03 1.01e+00 1.662233186e+02 1.665396562e+02 6.9e-08 1.26
29 1.2e-04 4.6e-02 7.5e-03 1.01e+00 1.662457437e+02 1.665303872e+02 6.2e-08 1.28
30 1.1e-04 4.2e-02 6.8e-03 1.01e+00 1.662658706e+02 1.665220004e+02 5.6e-08 1.31
31 9.8e-05 3.9e-02 6.1e-03 1.01e+00 1.662839304e+02 1.665144074e+02 5.1e-08 1.34
32 8.8e-05 3.5e-02 5.5e-03 1.01e+00 1.663001373e+02 1.665075342e+02 4.6e-08 1.36
33 7.9e-05 3.3e-02 4.9e-03 1.00e+00 1.663146818e+02 1.665013127e+02 4.1e-08 1.39
34 7.1e-05 3.0e-02 4.4e-03 1.00e+00 1.663277349e+02 1.664956816e+02 3.7e-08 1.42
35 6.4e-05 2.8e-02 4.0e-03 1.00e+00 1.663394505e+02 1.664905856e+02 3.3e-08 1.45
36 5.8e-05 2.6e-02 3.6e-03 1.00e+00 1.663499663e+02 1.664859743e+02 3.0e-08 1.47
37 5.2e-05 2.4e-02 3.2e-03 1.00e+00 1.663594062e+02 1.664818026e+02 2.7e-08 1.50
38 4.7e-05 2.2e-02 2.9e-03 1.00e+00 1.663678812e+02 1.664780293e+02 2.4e-08 1.53
39 4.2e-05 2.1e-02 2.6e-03 1.00e+00 1.663754907e+02 1.664746171e+02 2.2e-08 1.56
40 3.8e-05 2.0e-02 2.4e-03 1.00e+00 1.663823238e+02 1.664715321e+02 2.0e-08 1.59
41 3.4e-05 1.8e-02 2.1e-03 1.00e+00 1.663884604e+02 1.664687436e+02 1.8e-08 1.62
42 3.1e-05 1.7e-02 1.9e-03 1.00e+00 1.663939719e+02 1.664662235e+02 1.6e-08 1.64
43 2.8e-05 1.6e-02 1.7e-03 1.00e+00 1.663989224e+02 1.664639462e+02 1.4e-08 1.68
44 2.5e-05 1.6e-02 1.5e-03 1.00e+00 1.664033694e+02 1.664618889e+02 1.3e-08 1.70
45 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664073643e+02 1.664600303e+02 1.2e-08 1.73
46 2.0e-05 1.4e-02 1.3e-03 1.00e+00 1.664109534e+02 1.664583517e+02 1.0e-08 1.76
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664141781e+02 1.664568357e+02 9.4e-09 1.79
48 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664170757e+02 1.664554668e+02 8.5e-09 1.82
49 1.5e-05 1.2e-02 9.1e-04 1.00e+00 1.664196793e+02 1.664542309e+02 7.6e-09 1.85
50 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664220191e+02 1.664531152e+02 6.9e-09 1.88
51 1.2e-05 1.1e-02 7.4e-04 1.00e+00 1.664241219e+02 1.664521082e+02 6.2e-09 1.90
52 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.664260118e+02 1.664511994e+02 5.6e-09 1.93
53 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664277106e+02 1.664503793e+02 5.0e-09 1.96
54 8.7e-06 1.1e-02 5.4e-04 1.00e+00 1.664292376e+02 1.664496394e+02 4.5e-09 1.99
55 7.8e-06 1.0e-02 4.9e-04 1.00e+00 1.664306103e+02 1.664489719e+02 4.0e-09 2.02
56 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318443e+02 1.664483698e+02 3.6e-09 2.05
57 6.3e-06 9.8e-03 3.9e-04 1.00e+00 1.664329538e+02 1.664478268e+02 3.3e-09 2.09
58 5.7e-06 9.6e-03 3.5e-04 1.00e+00 1.664339514e+02 1.664473372e+02 3.0e-09 2.12
59 5.1e-06 9.4e-03 3.2e-04 1.00e+00 1.664348484e+02 1.664468956e+02 2.7e-09 2.15
60 4.6e-06 9.3e-03 2.9e-04 1.00e+00 1.664356549e+02 1.664464975e+02 2.4e-09 2.17
61 4.2e-06 9.1e-03 2.6e-04 1.00e+00 1.664363801e+02 1.664461385e+02 2.2e-09 2.20
62 3.7e-06 9.0e-03 2.3e-04 1.00e+00 1.664370322e+02 1.664458149e+02 1.9e-09 2.23
63 3.4e-06 8.9e-03 2.1e-04 1.00e+00 1.664376186e+02 1.664455231e+02 1.7e-09 2.26
64 3.0e-06 8.8e-03 1.9e-04 1.00e+00 1.664381459e+02 1.664452600e+02 1.6e-09 2.30
65 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386201e+02 1.664450228e+02 1.4e-09 2.33
66 2.5e-06 8.6e-03 1.5e-04 1.00e+00 1.664390467e+02 1.664448092e+02 1.3e-09 2.36
67 2.2e-06 8.5e-03 1.4e-04 1.00e+00 1.664394303e+02 1.664446166e+02 1.1e-09 2.39
68 2.0e-06 8.4e-03 1.2e-04 1.00e+00 1.664397755e+02 1.664444431e+02 1.0e-09 2.42
69 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400859e+02 1.664442869e+02 9.3e-10 2.45
70 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403652e+02 1.664441461e+02 8.3e-10 2.47
71 1.4e-06 8.2e-03 9.0e-05 1.00e+00 1.664406165e+02 1.664440194e+02 7.5e-10 2.50
72 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408426e+02 1.664439052e+02 6.8e-10 2.53
73 1.2e-06 8.1e-03 7.3e-05 1.00e+00 1.664410460e+02 1.664438023e+02 6.1e-10 2.56
74 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412289e+02 1.664437097e+02 5.5e-10 2.59
75 9.5e-07 8.0e-03 5.9e-05 1.00e+00 1.664413935e+02 1.664436263e+02 4.9e-10 2.62
76 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415416e+02 1.664435511e+02 4.4e-10 2.65
77 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416749e+02 1.664434834e+02 4.0e-10 2.68
78 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417947e+02 1.664434225e+02 3.6e-10 2.71
79 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419026e+02 1.664433675e+02 3.2e-10 2.74
80 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664419996e+02 1.664433180e+02 2.9e-10 2.77
81 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420868e+02 1.664432734e+02 2.6e-10 2.80
82 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421653e+02 1.664432332e+02 2.4e-10 2.82
83 4.1e-07 7.8e-03 2.5e-05 1.00e+00 1.664422360e+02 1.664431970e+02 2.1e-10 2.85
84 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422995e+02 1.664431645e+02 1.9e-10 2.89
85 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423566e+02 1.664431351e+02 1.7e-10 2.92
86 3.0e-07 7.7e-03 1.9e-05 9.99e-01 1.664424081e+02 1.664431087e+02 1.5e-10 2.95
87 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424543e+02 1.664430849e+02 1.4e-10 2.97
88 2.4e-07 7.7e-03 1.5e-05 9.98e-01 1.664424960e+02 1.664430636e+02 1.3e-10 3.00
89 2.2e-07 7.6e-03 1.4e-05 9.99e-01 1.664425334e+02 1.664430443e+02 1.1e-10 3.04
90 2.0e-07 7.6e-03 1.2e-05 9.99e-01 1.664425672e+02 1.664430270e+02 1.0e-10 3.06
91 1.8e-07 7.6e-03 1.1e-05 9.99e-01 1.664425975e+02 1.664430114e+02 9.1e-11 3.09
92 1.6e-07 7.6e-03 9.9e-06 9.99e-01 1.664426248e+02 1.664429973e+02 8.2e-11 3.12
93 1.4e-07 7.6e-03 8.9e-06 1.00e+00 1.664426494e+02 1.664429847e+02 7.4e-11 3.15
94 1.3e-07 7.6e-03 8.0e-06 1.00e+00 1.664426716e+02 1.664429733e+02 6.7e-11 3.18
95 1.2e-07 6.8e-03 7.2e-06 1.00e+00 1.664426916e+02 1.664429630e+02 6.0e-11 3.21
96 1.0e-07 6.1e-03 6.5e-06 1.00e+00 1.664427095e+02 1.664429537e+02 5.4e-11 3.24
97 9.4e-08 5.5e-03 5.8e-06 1.00e+00 1.664427256e+02 1.664429455e+02 4.9e-11 3.27
98 8.4e-08 5.0e-03 5.2e-06 9.95e-01 1.664427401e+02 1.664429380e+02 4.4e-11 3.30
99 7.6e-08 4.5e-03 4.7e-06 9.99e-01 1.664427532e+02 1.664429313e+02 3.9e-11 3.33
100 6.8e-08 4.0e-03 4.2e-06 1.00e+00 1.664427650e+02 1.664429253e+02 3.5e-11 3.36
101 6.1e-08 3.6e-03 3.8e-06 1.00e+00 1.664427756e+02 1.664429198e+02 3.2e-11 3.39
102 5.5e-08 3.3e-03 3.4e-06 1.00e+00 1.664427851e+02 1.664429149e+02 2.9e-11 3.42
103 5.0e-08 2.9e-03 3.1e-06 9.95e-01 1.664427937e+02 1.664429105e+02 2.6e-11 3.45
104 4.5e-08 2.6e-03 2.8e-06 9.90e-01 1.664428014e+02 1.664429066e+02 2.3e-11 3.48
105 4.0e-08 2.4e-03 2.5e-06 1.01e+00 1.664428084e+02 1.664429029e+02 2.1e-11 3.50
106 3.6e-08 2.1e-03 2.3e-06 1.01e+00 1.664428148e+02 1.664428996e+02 1.9e-11 3.53
107 3.3e-08 1.9e-03 2.0e-06 1.01e+00 1.664428205e+02 1.664428967e+02 1.7e-11 3.56
108 2.9e-08 1.7e-03 1.8e-06 9.96e-01 1.664428256e+02 1.664428941e+02 1.5e-11 3.59
109 2.6e-08 1.6e-03 1.6e-06 1.03e+00 1.664428307e+02 1.664428914e+02 1.4e-11 3.62
110 2.4e-08 1.4e-03 1.5e-06 9.86e-01 1.664428347e+02 1.664428894e+02 1.3e-11 3.65
111 2.1e-08 1.3e-03 1.3e-06 9.58e-01 1.664428383e+02 1.664428876e+02 1.1e-11 3.68
112 1.9e-08 1.1e-03 1.2e-06 1.01e+00 1.664428416e+02 1.664428858e+02 1.0e-11 3.71
113 1.7e-08 1.0e-03 1.1e-06 1.00e+00 1.664428446e+02 1.664428843e+02 9.2e-12 3.74
114 1.6e-08 9.2e-04 9.7e-07 1.06e+00 1.664428478e+02 1.664428826e+02 8.5e-12 3.77
115 1.4e-08 8.3e-04 8.7e-07 9.55e-01 1.664428501e+02 1.664428814e+02 7.7e-12 3.81
116 1.3e-08 7.5e-04 7.9e-07 9.99e-01 1.664428522e+02 1.664428804e+02 6.9e-12 3.84
117 1.2e-08 6.7e-04 7.1e-07 1.01e+00 1.664428541e+02 1.664428794e+02 6.2e-12 3.87
118 1.1e-08 6.0e-04 6.4e-07 9.28e-01 1.664428557e+02 1.664428786e+02 5.6e-12 3.90
119 9.9e-09 5.4e-04 5.7e-07 1.05e+00 1.664428576e+02 1.664428776e+02 5.2e-12 3.94
120 9.2e-09 4.9e-04 5.2e-07 1.04e+00 1.664428591e+02 1.664428768e+02 4.7e-12 3.97
121 8.3e-09 4.4e-04 4.6e-07 1.04e+00 1.664428605e+02 1.664428760e+02 4.3e-12 4.00
122 7.4e-09 4.0e-04 4.2e-07 8.06e-01 1.664428615e+02 1.664428755e+02 3.9e-12 4.03
123 7.2e-09 3.6e-04 3.8e-07 8.38e-01 1.664428624e+02 1.664428752e+02 3.5e-12 4.07
124 7.0e-09 3.2e-04 3.4e-07 1.01e+00 1.664428633e+02 1.664428747e+02 3.2e-12 4.10
125 6.4e-09 2.9e-04 3.0e-07 9.35e-01 1.664428641e+02 1.664428743e+02 2.8e-12 4.13
126 5.9e-09 2.6e-04 2.7e-07 7.25e-01 1.664428647e+02 1.664428740e+02 2.6e-12 4.16
127 5.3e-09 2.3e-04 2.5e-07 2.86e+00 1.664428654e+02 1.664428736e+02 2.3e-12 4.19
128 7.7e-09 2.1e-04 2.2e-07 1.13e+00 1.664428663e+02 1.664428730e+02 2.2e-12 4.23
129 6.2e-09 1.9e-04 2.0e-07 4.27e-01 1.664428668e+02 1.664428725e+02 2.0e-12 4.26
130 1.4e-08 1.7e-04 1.8e-07 1.08e+00 1.664428674e+02 1.664428722e+02 1.8e-12 4.29
131 1.4e-08 1.5e-04 1.6e-07 3.88e-01 1.664428679e+02 1.664428718e+02 1.6e-12 4.32
132 2.2e-08 1.4e-04 1.5e-07 6.97e-01 1.664428681e+02 1.664428718e+02 1.5e-12 4.36
133 2.0e-08 1.2e-04 1.3e-07 4.65e-01 1.664428684e+02 1.664428717e+02 1.3e-12 4.39
134 1.6e-08 1.1e-04 1.2e-07 4.15e-01 1.664428686e+02 1.664428717e+02 1.2e-12 4.42
135 1.5e-08 1.0e-04 1.1e-07 9.43e-01 1.664428688e+02 1.664428716e+02 1.1e-12 4.45
136 1.5e-08 9.1e-05 9.6e-08 3.82e-01 1.664428690e+02 1.664428715e+02 9.5e-13 4.48
Interior-point optimizer terminated. Time: 4.49.
Optimizer terminated. Time: 4.51
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286903e+02 Viol. con: 4e-07 var: 0e+00
Dual. obj: 1.6644287150e+02 Viol. con: 0e+00 var: 4e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.53 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 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 : 0.06 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 -1.280489595e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258746549e+05 3.573539851e+00 4.8e-01 0.17
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197248437e+05 1.020048463e+01 1.9e-01 0.20
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150061316e+05 6.350474371e+01 1.2e-01 0.23
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124090165e+05 2.256519157e+03 1.2e-01 0.26
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.445964458e+04 9.583493505e+03 3.3e-02 0.28
6 3.0e+01 3.8e+01 1.7e+03 -1.95e-01 -4.029036974e+04 1.021236696e+04 1.3e-02 0.31
7 1.8e+01 2.3e+01 9.9e+02 3.95e-01 -2.693747270e+04 6.641949898e+03 7.9e-03 0.34
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.531785616e+04 3.830167699e+03 4.2e-03 0.37
9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.905208690e+03 1.796576381e+03 1.6e-03 0.39
10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.113331946e+03 1.193555687e+03 8.9e-04 0.42
11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.224279894e+03 6.160633385e+02 3.8e-04 0.45
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.207775356e+03 5.913569721e+02 3.7e-04 0.48
13 5.1e-01 6.6e-01 2.8e+01 9.72e-01 -7.035600261e+02 4.268403365e+02 2.3e-04 0.51
14 3.1e-01 4.1e-01 1.8e+01 1.00e+00 -3.505854185e+02 3.411888226e+02 1.4e-04 0.54
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.684536761e+01 2.143805248e+02 5.0e-05 0.57
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.197991180e+01 2.045204261e+02 3.8e-05 0.60
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.510763631e+01 1.869525509e+02 1.9e-05 0.63
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425306716e+02 1.741992895e+02 6.7e-06 0.66
19 6.3e-03 7.2e-02 3.6e-01 1.01e+00 1.556725777e+02 1.695992612e+02 2.9e-06 0.69
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638768559e+02 1.673910817e+02 7.5e-07 0.72
21 8.1e-04 1.1e-01 5.0e-02 9.78e-01 1.650486316e+02 1.669448104e+02 4.1e-07 0.77
22 2.5e-04 1.1e-01 1.6e-02 9.89e-01 1.659979933e+02 1.666010872e+02 1.3e-07 0.80
23 1.2e-04 8.9e-02 7.5e-03 1.01e+00 1.662206232e+02 1.665064965e+02 6.3e-08 0.83
24 4.6e-05 8.6e-02 3.0e-03 1.01e+00 1.663410740e+02 1.664565296e+02 2.6e-08 0.86
25 2.1e-05 7.8e-02 1.4e-03 1.01e+00 1.663845785e+02 1.664381894e+02 1.2e-08 0.89
26 1.9e-05 7.1e-02 1.3e-03 1.00e+00 1.663890881e+02 1.664373659e+02 1.1e-08 0.91
27 1.7e-05 6.5e-02 1.1e-03 1.01e+00 1.663923621e+02 1.664357994e+02 9.7e-09 0.94
28 1.6e-05 5.9e-02 1.0e-03 1.00e+00 1.663953679e+02 1.664344548e+02 8.8e-09 0.97
29 1.4e-05 5.4e-02 9.3e-04 1.00e+00 1.663980581e+02 1.664332302e+02 7.9e-09 1.01
30 1.3e-05 5.0e-02 8.4e-04 1.00e+00 1.664004772e+02 1.664321272e+02 7.1e-09 1.04
31 1.1e-05 4.5e-02 7.5e-04 1.00e+00 1.664026508e+02 1.664311318e+02 6.4e-09 1.07
32 1.0e-05 4.2e-02 6.8e-04 1.00e+00 1.664046044e+02 1.664302340e+02 5.8e-09 1.10
33 9.2e-06 3.8e-02 6.1e-04 1.00e+00 1.664063603e+02 1.664294243e+02 5.2e-09 1.13
34 8.3e-06 3.5e-02 5.5e-04 1.00e+00 1.664079386e+02 1.664286940e+02 4.7e-09 1.16
35 7.5e-06 3.3e-02 5.0e-04 1.00e+00 1.664093574e+02 1.664280356e+02 4.2e-09 1.19
36 6.7e-06 3.0e-02 4.5e-04 1.00e+00 1.664106329e+02 1.664274419e+02 3.8e-09 1.23
37 6.1e-06 2.8e-02 4.0e-04 1.00e+00 1.664117797e+02 1.664269067e+02 3.4e-09 1.26
38 5.5e-06 2.6e-02 3.6e-04 1.00e+00 1.664128109e+02 1.664264242e+02 3.1e-09 1.29
39 4.9e-06 2.4e-02 3.2e-04 1.00e+00 1.664137380e+02 1.664259893e+02 2.8e-09 1.32
40 4.4e-06 2.2e-02 2.9e-04 1.00e+00 1.664145718e+02 1.664255973e+02 2.5e-09 1.35
41 4.0e-06 2.1e-02 2.6e-04 1.00e+00 1.664153215e+02 1.664252440e+02 2.2e-09 1.39
42 3.6e-06 2.0e-02 2.4e-04 1.00e+00 1.664159957e+02 1.664249256e+02 2.0e-09 1.42
43 3.2e-06 1.8e-02 2.1e-04 1.00e+00 1.664166020e+02 1.664246387e+02 1.8e-09 1.45
44 2.9e-06 1.7e-02 1.9e-04 1.00e+00 1.664171473e+02 1.664243800e+02 1.6e-09 1.48
45 2.6e-06 1.6e-02 1.7e-04 1.00e+00 1.664176377e+02 1.664241469e+02 1.5e-09 1.51
46 2.3e-06 1.6e-02 1.6e-04 1.00e+00 1.664180788e+02 1.664239370e+02 1.3e-09 1.54
47 2.1e-06 1.5e-02 1.4e-04 1.00e+00 1.664184755e+02 1.664237478e+02 1.2e-09 1.59
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664188325e+02 1.664235775e+02 1.1e-09 1.63
49 1.7e-06 1.3e-02 1.1e-04 1.00e+00 1.664191536e+02 1.664234241e+02 9.6e-10 1.66
50 1.5e-06 1.3e-02 1.0e-04 1.00e+00 1.664194425e+02 1.664232859e+02 8.6e-10 1.69
51 1.4e-06 1.2e-02 9.2e-05 1.00e+00 1.664197025e+02 1.664231615e+02 7.8e-10 1.72
52 1.2e-06 1.2e-02 8.3e-05 1.00e+00 1.664199363e+02 1.664230494e+02 7.0e-10 1.75
53 1.1e-06 1.1e-02 7.4e-05 1.00e+00 1.664201467e+02 1.664229484e+02 6.3e-10 1.79
54 1.0e-06 1.1e-02 6.7e-05 1.00e+00 1.664203360e+02 1.664228575e+02 5.7e-10 1.82
55 9.1e-07 1.1e-02 6.0e-05 1.00e+00 1.664205063e+02 1.664227757e+02 5.1e-10 1.85
56 8.2e-07 1.0e-02 5.4e-05 1.00e+00 1.664206596e+02 1.664227020e+02 4.6e-10 1.88
57 7.4e-07 1.0e-02 4.9e-05 1.00e+00 1.664207974e+02 1.664226356e+02 4.1e-10 1.92
58 6.6e-07 9.9e-03 4.4e-05 1.00e+00 1.664209214e+02 1.664225758e+02 3.7e-10 1.95
59 6.0e-07 9.7e-03 4.0e-05 1.00e+00 1.664210330e+02 1.664225219e+02 3.3e-10 1.98
60 5.4e-07 9.5e-03 3.6e-05 1.00e+00 1.664211334e+02 1.664224734e+02 3.0e-10 2.02
61 4.8e-07 9.3e-03 3.2e-05 9.99e-01 1.664212236e+02 1.664224297e+02 2.7e-10 2.05
62 4.4e-07 9.1e-03 2.9e-05 1.00e+00 1.664213048e+02 1.664223904e+02 2.4e-10 2.08
63 3.9e-07 9.0e-03 2.6e-05 9.99e-01 1.664213779e+02 1.664223549e+02 2.2e-10 2.11
64 3.5e-07 8.9e-03 2.3e-05 1.00e+00 1.664214436e+02 1.664223229e+02 2.0e-10 2.14
65 3.2e-07 8.7e-03 2.1e-05 1.00e+00 1.664215027e+02 1.664222941e+02 1.8e-10 2.17
66 2.9e-07 8.6e-03 1.9e-05 1.00e+00 1.664215559e+02 1.664222681e+02 1.6e-10 2.21
67 2.6e-07 8.5e-03 1.7e-05 9.98e-01 1.664216038e+02 1.664222448e+02 1.4e-10 2.24
68 2.3e-07 8.4e-03 1.5e-05 9.99e-01 1.664216468e+02 1.664222238e+02 1.3e-10 2.27
69 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664216856e+02 1.664222048e+02 1.2e-10 2.30
70 1.9e-07 8.3e-03 1.2e-05 9.99e-01 1.664217204e+02 1.664221878e+02 1.1e-10 2.33
71 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217518e+02 1.664221724e+02 9.5e-11 2.37
72 1.5e-07 8.1e-03 1.0e-05 1.00e+00 1.664217801e+02 1.664221586e+02 8.5e-11 2.40
73 1.4e-07 8.1e-03 9.0e-06 1.00e+00 1.664218055e+02 1.664221461e+02 7.7e-11 2.44
74 1.2e-07 8.0e-03 8.1e-06 1.00e+00 1.664218283e+02 1.664221349e+02 6.9e-11 2.47
75 1.1e-07 8.0e-03 7.3e-06 9.98e-01 1.664218489e+02 1.664221248e+02 6.2e-11 2.50
76 9.9e-08 7.9e-03 6.6e-06 1.00e+00 1.664218674e+02 1.664221157e+02 5.6e-11 2.53
77 9.0e-08 7.9e-03 5.9e-06 1.01e+00 1.664218843e+02 1.664221074e+02 5.0e-11 2.56
78 8.1e-08 7.9e-03 5.3e-06 1.00e+00 1.664218993e+02 1.664221001e+02 4.5e-11 2.60
79 7.3e-08 7.9e-03 4.8e-06 1.00e+00 1.664219128e+02 1.664220935e+02 4.1e-11 2.63
80 6.5e-08 7.8e-03 4.3e-06 1.00e+00 1.664219250e+02 1.664220875e+02 3.7e-11 2.66
81 5.9e-08 7.8e-03 3.9e-06 9.97e-01 1.664219359e+02 1.664220821e+02 3.3e-11 2.69
82 5.3e-08 7.8e-03 3.5e-06 1.00e+00 1.664219458e+02 1.664220773e+02 3.0e-11 2.72
83 4.8e-08 7.8e-03 3.2e-06 1.00e+00 1.664219547e+02 1.664220729e+02 2.7e-11 2.76
84 4.3e-08 7.7e-03 2.8e-06 1.00e+00 1.664219626e+02 1.664220690e+02 2.4e-11 2.79
85 3.9e-08 7.0e-03 2.6e-06 1.01e+00 1.664219700e+02 1.664220654e+02 2.2e-11 2.83
86 3.5e-08 6.3e-03 2.3e-06 1.00e+00 1.664219765e+02 1.664220622e+02 2.0e-11 2.86
87 3.1e-08 5.6e-03 2.1e-06 1.00e+00 1.664219823e+02 1.664220593e+02 1.8e-11 2.89
88 2.8e-08 5.1e-03 1.9e-06 1.01e+00 1.664219876e+02 1.664220567e+02 1.6e-11 2.93
89 2.5e-08 4.6e-03 1.7e-06 1.01e+00 1.664219924e+02 1.664220544e+02 1.4e-11 2.96
90 2.3e-08 4.1e-03 1.5e-06 1.00e+00 1.664219965e+02 1.664220524e+02 1.3e-11 2.99
91 2.1e-08 3.7e-03 1.4e-06 1.01e+00 1.664220004e+02 1.664220505e+02 1.2e-11 3.02
92 1.8e-08 3.3e-03 1.2e-06 1.01e+00 1.664220039e+02 1.664220487e+02 1.1e-11 3.05
93 1.7e-08 3.0e-03 1.1e-06 1.01e+00 1.664220070e+02 1.664220472e+02 9.6e-12 3.09
94 1.5e-08 2.7e-03 9.9e-07 9.99e-01 1.664220097e+02 1.664220459e+02 8.6e-12 3.12
95 1.3e-08 2.4e-03 8.9e-07 9.79e-01 1.664220121e+02 1.664220447e+02 7.7e-12 3.15
96 1.2e-08 2.2e-03 8.0e-07 1.02e+00 1.664220145e+02 1.664220436e+02 7.0e-12 3.19
97 1.1e-08 2.0e-03 7.2e-07 1.04e+00 1.664220168e+02 1.664220424e+02 6.5e-12 3.22
98 9.9e-09 1.8e-03 6.5e-07 9.97e-01 1.664220186e+02 1.664220415e+02 5.8e-12 3.25
99 8.9e-09 1.6e-03 5.8e-07 1.02e+00 1.664220202e+02 1.664220407e+02 5.3e-12 3.28
100 8.0e-09 1.4e-03 5.3e-07 9.53e-01 1.664220216e+02 1.664220401e+02 4.7e-12 3.31
101 7.2e-09 1.3e-03 4.7e-07 1.08e+00 1.664220233e+02 1.664220392e+02 4.5e-12 3.34
102 6.5e-09 1.2e-03 4.3e-07 1.01e+00 1.664220244e+02 1.664220386e+02 4.0e-12 3.37
103 5.8e-09 1.0e-03 3.8e-07 9.84e-01 1.664220254e+02 1.664220382e+02 3.6e-12 3.41
104 5.2e-09 9.4e-04 3.5e-07 9.57e-01 1.664220262e+02 1.664220378e+02 3.3e-12 3.44
105 4.7e-09 8.5e-04 3.1e-07 9.21e-01 1.664220270e+02 1.664220374e+02 2.9e-12 3.47
106 4.3e-09 5.1e-05 1.9e-08 8.76e-01 1.664220338e+02 1.664220345e+02 3.3e-13 3.50
Interior-point optimizer terminated. Time: 3.51.
Optimizer terminated. Time: 3.53
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203383e+02 Viol. con: 8e-08 var: 0e+00
Dual. obj: 1.6642203450e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.55 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 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 2.9e+03 1.3e+05 0.00e+00 -1.280480922e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258735661e+05 3.573329031e+00 4.8e-01 0.17
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197005209e+05 1.021704633e+01 1.9e-01 0.20
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.149813377e+05 6.382276023e+01 1.2e-01 0.23
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.123855399e+05 2.255173843e+03 1.2e-01 0.26
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.423594316e+04 9.613753856e+03 3.3e-02 0.29
6 3.0e+01 3.8e+01 1.6e+03 -1.92e-01 -4.018134114e+04 1.017431004e+04 1.3e-02 0.33
7 1.8e+01 2.3e+01 9.9e+02 3.96e-01 -2.694063733e+04 6.639033206e+03 7.9e-03 0.36
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.520627795e+04 3.808638652e+03 4.1e-03 0.39
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.318877999e+03 1.679782179e+03 1.4e-03 0.42
10 1.6e+00 2.0e+00 8.9e+01 9.54e-01 -2.417683514e+03 1.055154631e+03 7.1e-04 0.45
11 9.5e-01 1.2e+00 5.3e+01 9.86e-01 -1.370540605e+03 7.033828928e+02 4.2e-04 0.48
12 8.6e-01 1.1e+00 4.8e+01 9.64e-01 -1.258992649e+03 6.420994950e+02 3.8e-04 0.52
13 4.8e-01 6.1e-01 2.7e+01 9.77e-01 -6.393594915e+02 4.225787350e+02 2.1e-04 0.55
14 2.6e-01 3.4e-01 1.4e+01 1.00e+00 -2.623863223e+02 3.061915885e+02 1.2e-04 0.59
15 9.2e-02 1.5e-01 5.3e+00 1.00e+00 -2.393361287e+00 2.056342470e+02 4.3e-05 0.62
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.576525856e+01 2.083366298e+02 4.0e-05 0.66
17 6.0e-02 9.5e-02 3.4e+00 1.02e+00 6.107149516e+01 1.952044628e+02 2.8e-05 0.69
18 3.4e-02 7.3e-02 1.9e+00 1.02e+00 1.081909997e+02 1.827217753e+02 1.6e-05 0.72
19 9.3e-03 1.7e-01 5.4e-01 1.02e+00 1.512030375e+02 1.719128202e+02 4.3e-06 0.76
20 3.4e-03 2.1e-01 2.0e-01 1.01e+00 1.605109293e+02 1.682875428e+02 1.7e-06 0.79
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642779418e+02 1.671863566e+02 6.2e-07 0.82
22 8.5e-04 1.0e-01 5.1e-02 9.84e-01 1.649813609e+02 1.669397437e+02 4.2e-07 0.86
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659710768e+02 1.665859666e+02 1.3e-07 0.89
24 9.4e-05 1.0e-01 6.0e-03 1.01e+00 1.662464759e+02 1.664756795e+02 5.1e-08 0.93
25 3.7e-05 9.6e-02 2.4e-03 1.01e+00 1.663445761e+02 1.664349665e+02 2.0e-08 0.96
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663787299e+02 1.664206000e+02 9.5e-09 0.99
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663822232e+02 1.664199216e+02 8.5e-09 1.03
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663847897e+02 1.664187111e+02 7.7e-09 1.06
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663871434e+02 1.664176672e+02 6.9e-09 1.10
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663892515e+02 1.664167187e+02 6.2e-09 1.13
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663911474e+02 1.664158643e+02 5.6e-09 1.17
32 9.0e-06 4.7e-02 5.9e-04 1.00e+00 1.663928515e+02 1.664150938e+02 5.0e-09 1.20
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663943835e+02 1.664143991e+02 4.5e-09 1.23
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663957607e+02 1.664137729e+02 4.1e-09 1.27
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969990e+02 1.664132084e+02 3.7e-09 1.30
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663981125e+02 1.664126996e+02 3.3e-09 1.34
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663991137e+02 1.664122411e+02 3.0e-09 1.37
38 4.8e-06 2.9e-02 3.1e-04 1.00e+00 1.664000141e+02 1.664118279e+02 2.7e-09 1.41
39 4.3e-06 2.7e-02 2.8e-04 1.00e+00 1.664008238e+02 1.664114555e+02 2.4e-09 1.44
40 3.9e-06 2.5e-02 2.5e-04 1.00e+00 1.664015519e+02 1.664111199e+02 2.2e-09 1.48
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664022068e+02 1.664108175e+02 2.0e-09 1.51
42 3.1e-06 2.1e-02 2.1e-04 1.00e+00 1.664027957e+02 1.664105450e+02 1.8e-09 1.55
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664033253e+02 1.664102994e+02 1.6e-09 1.58
44 2.5e-06 1.9e-02 1.7e-04 1.00e+00 1.664038017e+02 1.664100781e+02 1.4e-09 1.62
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042303e+02 1.664098788e+02 1.3e-09 1.65
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664046158e+02 1.664096993e+02 1.2e-09 1.68
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049626e+02 1.664095377e+02 1.0e-09 1.72
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052746e+02 1.664093921e+02 9.3e-10 1.75
49 1.5e-06 1.4e-02 9.8e-05 1.00e+00 1.664055554e+02 1.664092610e+02 8.4e-10 1.78
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664058079e+02 1.664091430e+02 7.6e-10 1.81
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060352e+02 1.664090367e+02 6.8e-10 1.85
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062397e+02 1.664089410e+02 6.1e-10 1.87
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064236e+02 1.664088548e+02 5.5e-10 1.91
54 8.9e-07 1.2e-02 5.8e-05 1.00e+00 1.664065891e+02 1.664087771e+02 5.0e-10 1.94
55 8.0e-07 1.1e-02 5.2e-05 1.00e+00 1.664067380e+02 1.664087072e+02 4.5e-10 1.97
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068720e+02 1.664086442e+02 4.0e-10 2.00
57 6.5e-07 1.0e-02 4.2e-05 1.00e+00 1.664069925e+02 1.664085875e+02 3.6e-10 2.03
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664071009e+02 1.664085364e+02 3.3e-10 2.06
59 5.2e-07 9.9e-03 3.4e-05 1.00e+00 1.664071984e+02 1.664084904e+02 2.9e-10 2.09
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072862e+02 1.664084489e+02 2.6e-10 2.12
61 4.2e-07 9.5e-03 2.8e-05 1.00e+00 1.664073651e+02 1.664084116e+02 2.4e-10 2.15
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074361e+02 1.664083779e+02 2.1e-10 2.18
63 3.4e-07 9.1e-03 2.3e-05 1.00e+00 1.664074999e+02 1.664083476e+02 1.9e-10 2.21
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075574e+02 1.664083202e+02 1.7e-10 2.24
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076090e+02 1.664082956e+02 1.6e-10 2.27
66 2.5e-07 8.7e-03 1.6e-05 1.00e+00 1.664076555e+02 1.664082734e+02 1.4e-10 2.30
67 2.3e-07 8.6e-03 1.5e-05 1.00e+00 1.664076974e+02 1.664082535e+02 1.3e-10 2.33
68 2.0e-07 8.5e-03 1.3e-05 9.98e-01 1.664077350e+02 1.664082356e+02 1.1e-10 2.36
69 1.8e-07 8.4e-03 1.2e-05 1.00e+00 1.664077689e+02 1.664082194e+02 1.0e-10 2.39
70 1.6e-07 8.3e-03 1.1e-05 1.00e+00 1.664077994e+02 1.664082048e+02 9.2e-11 2.42
71 1.5e-07 8.2e-03 9.7e-06 1.00e+00 1.664078268e+02 1.664081917e+02 8.3e-11 2.45
72 1.3e-07 8.2e-03 8.7e-06 1.00e+00 1.664078515e+02 1.664081799e+02 7.5e-11 2.47
73 1.2e-07 8.1e-03 7.9e-06 9.98e-01 1.664078737e+02 1.664081693e+02 6.7e-11 2.51
74 1.1e-07 8.0e-03 7.1e-06 1.00e+00 1.664078937e+02 1.664081597e+02 6.0e-11 2.53
75 9.7e-08 8.0e-03 6.4e-06 9.97e-01 1.664079117e+02 1.664081511e+02 5.4e-11 2.56
76 8.7e-08 7.9e-03 5.7e-06 9.96e-01 1.664079278e+02 1.664081434e+02 4.9e-11 2.59
77 7.9e-08 7.9e-03 5.2e-06 1.00e+00 1.664079424e+02 1.664081364e+02 4.4e-11 2.62
78 7.1e-08 7.9e-03 4.6e-06 1.00e+00 1.664079556e+02 1.664081300e+02 4.0e-11 2.65
79 6.4e-08 7.9e-03 4.2e-06 1.01e+00 1.664079676e+02 1.664081243e+02 3.6e-11 2.68
80 5.7e-08 7.1e-03 3.8e-06 1.01e+00 1.664079784e+02 1.664081190e+02 3.2e-11 2.70
81 5.2e-08 6.4e-03 3.4e-06 1.00e+00 1.664079879e+02 1.664081145e+02 2.9e-11 2.73
82 4.6e-08 5.7e-03 3.0e-06 9.80e-01 1.664079964e+02 1.664081105e+02 2.6e-11 2.76
83 4.2e-08 5.2e-03 2.7e-06 1.00e+00 1.664080041e+02 1.664081068e+02 2.3e-11 2.79
84 3.8e-08 4.6e-03 2.5e-06 9.85e-01 1.664080110e+02 1.664081035e+02 2.1e-11 2.82
85 3.4e-08 4.2e-03 2.2e-06 9.96e-01 1.664080173e+02 1.664081005e+02 1.9e-11 2.85
86 3.0e-08 3.8e-03 2.0e-06 9.98e-01 1.664080229e+02 1.664080978e+02 1.7e-11 2.88
87 2.7e-08 3.4e-03 1.8e-06 1.01e+00 1.664080280e+02 1.664080953e+02 1.5e-11 2.91
88 2.5e-08 3.0e-03 1.6e-06 1.03e+00 1.664080331e+02 1.664080928e+02 1.4e-11 2.93
89 2.2e-08 2.7e-03 1.5e-06 1.04e+00 1.664080378e+02 1.664080905e+02 1.3e-11 2.96
90 2.0e-08 2.5e-03 1.3e-06 1.01e+00 1.664080416e+02 1.664080886e+02 1.2e-11 2.99
91 1.8e-08 2.2e-03 1.2e-06 1.02e+00 1.664080450e+02 1.664080870e+02 1.1e-11 3.02
92 1.6e-08 2.0e-03 1.1e-06 9.78e-01 1.664080478e+02 1.664080857e+02 9.5e-12 3.05
93 1.5e-08 1.8e-03 9.6e-07 1.00e+00 1.664080504e+02 1.664080844e+02 8.6e-12 3.08
94 1.3e-08 1.6e-03 8.6e-07 9.80e-01 1.664080527e+02 1.664080834e+02 7.7e-12 3.11
95 1.2e-08 1.5e-03 7.7e-07 9.22e-01 1.664080547e+02 1.664080824e+02 6.9e-12 3.14
96 1.1e-08 1.3e-03 7.0e-07 9.88e-01 1.664080566e+02 1.664080815e+02 6.3e-12 3.17
97 9.6e-09 1.2e-03 6.3e-07 9.65e-01 1.664080583e+02 1.664080808e+02 5.6e-12 3.20
98 8.7e-09 1.1e-03 5.6e-07 1.11e+00 1.664080606e+02 1.664080795e+02 5.4e-12 3.23
99 7.9e-09 9.6e-04 5.1e-07 9.79e-01 1.664080618e+02 1.664080789e+02 4.8e-12 3.26
100 7.1e-09 8.6e-04 4.6e-07 1.04e+00 1.664080632e+02 1.664080782e+02 4.4e-12 3.28
101 6.4e-09 7.7e-04 4.1e-07 1.00e+00 1.664080642e+02 1.664080778e+02 4.0e-12 3.31
102 5.7e-09 7.0e-04 3.7e-07 8.12e-01 1.664080651e+02 1.664080774e+02 3.6e-12 3.34
103 5.2e-09 6.3e-04 3.3e-07 1.01e+00 1.664080660e+02 1.664080770e+02 3.2e-12 3.37
104 4.7e-09 5.6e-04 3.0e-07 1.02e+00 1.664080668e+02 1.664080766e+02 2.9e-12 3.40
105 4.4e-09 5.1e-04 2.7e-07 1.10e+00 1.664080677e+02 1.664080761e+02 2.8e-12 3.43
106 4.0e-09 4.6e-04 2.4e-07 9.64e-01 1.664080683e+02 1.664080758e+02 2.5e-12 3.46
107 3.5e-09 4.1e-04 2.2e-07 1.02e+00 1.664080689e+02 1.664080756e+02 2.3e-12 3.49
108 3.2e-09 3.7e-04 2.0e-07 8.79e-01 1.664080693e+02 1.664080754e+02 2.0e-12 3.52
109 3.0e-09 3.3e-04 1.8e-07 9.75e-01 1.664080697e+02 1.664080752e+02 1.8e-12 3.54
110 2.6e-09 3.0e-04 1.6e-07 9.90e-01 1.664080701e+02 1.664080750e+02 1.7e-12 3.58
111 2.4e-09 2.7e-04 1.4e-07 9.63e-01 1.664080704e+02 1.664080749e+02 1.5e-12 3.60
112 2.5e-09 2.4e-04 1.3e-07 1.11e+00 1.664080709e+02 1.664080746e+02 1.4e-12 3.63
113 2.4e-09 2.2e-04 1.2e-07 1.44e+00 1.664080711e+02 1.664080744e+02 1.3e-12 3.67
114 2.4e-09 2.0e-04 1.0e-07 1.82e+00 1.664080714e+02 1.664080743e+02 1.1e-12 3.70
115 3.1e-09 1.8e-04 9.4e-08 1.41e+00 1.664080716e+02 1.664080741e+02 1.0e-12 3.73
116 3.2e-09 1.6e-04 8.5e-08 9.45e-01 1.664080718e+02 1.664080741e+02 9.2e-13 3.77
Interior-point optimizer terminated. Time: 3.77.
Optimizer terminated. Time: 3.79
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807179e+02 Viol. con: 7e-08 var: 0e+00
Dual. obj: 1.6640807407e+02 Viol. con: 0e+00 var: 8e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.83 seconds.
Solving took 9 GP solves and 41.5 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: 1.4957405565215878e+110 vs 1.49570290288e+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: 3.705367936241917e+72 vs 3.70525236542e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682391]
Total Aircraft Weight Percent Diff: [-21.48056238]
Engine Weight Percent Diff: -56.27819834856956
Fuselage Weight Percent Diff: -0.8697222464782998
Payload Weight Percent Diff: [-0.04003558]
VT Weight Percent Diff: -8.607680768631662
HT Weight Percent Diff: -93.23325407610437
Wing Weight Percent Diff: 8.267433039242754
WING DIFFERENCES
Wing Span Percent Diff: -0.02999518919742597
Wing Area Percent Diff: 32.90015015631467
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.489398014633416
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022331851607227
VT Area Percent Diff: -60.38682799465711
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54733778]
L/D Percent Diff: [24.01021088]
Nacelle Cd Percent Diff: [-94.27641534]
HT Cd Percent Diff: [-80.76936555] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00305081] dimensionless
Wing Cd percent Diff: [-14.22931186]
Induced Drag Cd Percent Diff: [1.21936462]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.5703606]
FUSELAGE DIFFERENCES
Weight of HB material: -38.35998855685446
Weight of VB material: 87.82331184471013
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260522]