![[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-20190901162702)
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[:]*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: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 768
Optimizer - Cones : 0
Optimizer - Scalar variables : 3438 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.18 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 0.20
1 1.1e+03 1.5e+03 6.3e+04 -9.71e-01 -1.265132514e+05 3.611589420e+00 4.9e-01 0.49
2 4.1e+02 5.4e+02 2.3e+04 -9.38e-01 -1.199666169e+05 1.064041138e+01 1.8e-01 0.54
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.156309126e+05 6.812702963e+01 1.3e-01 0.57
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.131522901e+05 2.113211995e+03 1.3e-01 0.60
5 8.8e+01 1.2e+02 5.0e+03 -7.53e-01 -8.096538237e+04 8.430204037e+03 3.9e-02 0.63
6 3.7e+01 4.8e+01 2.1e+03 -2.92e-01 -4.806295568e+04 1.015705753e+04 1.6e-02 0.66
7 2.1e+01 2.8e+01 1.2e+03 2.53e-01 -3.183959973e+04 7.147574260e+03 9.5e-03 0.69
8 9.4e+00 1.2e+01 5.3e+02 5.37e-01 -1.516213576e+04 4.167067597e+03 4.2e-03 0.73
9 5.5e+00 7.2e+00 3.1e+02 8.14e-01 -8.873654488e+03 2.833843752e+03 2.5e-03 0.77
10 1.3e+00 1.8e+00 7.7e+01 9.07e-01 -2.032976954e+03 9.282385087e+02 6.1e-04 0.81
11 7.0e-01 9.2e-01 4.0e+01 9.94e-01 -8.350002142e+02 7.206024908e+02 3.2e-04 0.84
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.846306076e+02 5.632460213e+02 2.1e-04 0.87
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.148957258e+02 4.857769751e+02 1.6e-04 0.90
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.857417116e+01 3.656902710e+02 7.9e-05 0.94
15 5.5e-02 1.5e-01 3.3e+00 9.94e-01 1.620485362e+02 2.901550655e+02 2.6e-05 0.97
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.996394651e+02 2.746181590e+02 1.6e-05 1.00
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.444824012e+02 2.572405213e+02 2.8e-06 1.04
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509288752e+02 2.546905409e+02 8.3e-07 1.07
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527800443e+02 2.540213968e+02 2.8e-07 1.10
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532857302e+02 2.538354980e+02 1.2e-07 1.13
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533271035e+02 2.538219096e+02 1.1e-07 1.16
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533631909e+02 2.538084914e+02 1.0e-07 1.20
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533957124e+02 2.537964664e+02 9.0e-08 1.23
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534249555e+02 2.537856200e+02 8.1e-08 1.26
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534512557e+02 2.537758421e+02 7.3e-08 1.29
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534749084e+02 2.537670264e+02 6.6e-08 1.32
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534961824e+02 2.537590805e+02 5.9e-08 1.36
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535153179e+02 2.537519196e+02 5.3e-08 1.39
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535325308e+02 2.537454669e+02 4.8e-08 1.42
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535480148e+02 2.537396530e+02 4.3e-08 1.46
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535619442e+02 2.537344150e+02 3.9e-08 1.49
32 5.9e-05 2.9e-02 4.0e-03 1.00e+00 2.535744754e+02 2.537296963e+02 3.5e-08 1.52
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535857490e+02 2.537254456e+02 3.1e-08 1.55
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535958915e+02 2.537216167e+02 2.8e-08 1.58
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536050166e+02 2.537181679e+02 2.5e-08 1.61
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536132264e+02 2.537150615e+02 2.3e-08 1.65
37 3.5e-05 2.0e-02 2.4e-03 1.00e+00 2.536206130e+02 2.537122637e+02 2.1e-08 1.68
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536272589e+02 2.537097440e+02 1.9e-08 1.71
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536332386e+02 2.537074747e+02 1.7e-08 1.74
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536386189e+02 2.537054310e+02 1.5e-08 1.77
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536434601e+02 2.537035907e+02 1.4e-08 1.80
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536478161e+02 2.537019335e+02 1.2e-08 1.84
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536517357e+02 2.537004413e+02 1.1e-08 1.87
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536552627e+02 2.536990976e+02 9.8e-09 1.90
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536584365e+02 2.536978878e+02 8.9e-09 1.93
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536612924e+02 2.536967986e+02 8.0e-09 1.96
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536638623e+02 2.536958179e+02 7.2e-09 1.99
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536661750e+02 2.536949350e+02 6.5e-09 2.02
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536682562e+02 2.536941402e+02 5.8e-09 2.06
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536701290e+02 2.536934247e+02 5.2e-09 2.09
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536718144e+02 2.536927806e+02 4.7e-09 2.12
52 7.2e-06 1.0e-02 4.9e-04 1.00e+00 2.536733312e+02 2.536922007e+02 4.2e-09 2.16
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536746961e+02 2.536916788e+02 3.8e-09 2.19
54 5.9e-06 9.6e-03 3.9e-04 1.00e+00 2.536759245e+02 2.536912089e+02 3.4e-09 2.22
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770300e+02 2.536907860e+02 3.1e-09 2.25
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780248e+02 2.536904052e+02 2.8e-09 2.28
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789201e+02 2.536900625e+02 2.5e-09 2.31
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797258e+02 2.536897540e+02 2.3e-09 2.35
59 3.5e-06 8.7e-03 2.3e-04 1.00e+00 2.536804509e+02 2.536894763e+02 2.0e-09 2.38
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811034e+02 2.536892263e+02 1.8e-09 2.41
61 1.2e-06 3.3e-03 8.1e-05 1.00e+00 2.536846840e+02 2.536878533e+02 7.1e-10 2.44
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849137e+02 2.536877661e+02 6.4e-10 2.47
63 1.1e-06 3.0e-03 7.2e-05 1.00e+00 2.536849536e+02 2.536877507e+02 6.3e-10 2.51
64 6.1e-07 1.7e-03 4.1e-05 1.00e+00 2.536858135e+02 2.536874208e+02 3.6e-10 2.54
65 5.5e-07 1.5e-03 3.7e-05 1.00e+00 2.536859297e+02 2.536873762e+02 3.2e-10 2.57
66 5.2e-07 1.4e-03 3.5e-05 1.00e+00 2.536859990e+02 2.536873496e+02 3.0e-10 2.61
67 5.1e-07 1.4e-03 3.4e-05 1.00e+00 2.536860179e+02 2.536873423e+02 3.0e-10 2.64
68 5.0e-07 1.4e-03 3.3e-05 1.00e+00 2.536860364e+02 2.536873352e+02 2.9e-10 2.67
69 4.5e-07 1.3e-03 3.0e-05 1.00e+00 2.536861303e+02 2.536872992e+02 2.6e-10 2.71
70 4.1e-07 1.2e-03 2.7e-05 1.00e+00 2.536862065e+02 2.536872699e+02 2.4e-10 2.76
71 3.7e-07 1.1e-03 2.5e-05 1.00e+00 2.536862759e+02 2.536872433e+02 2.2e-10 2.81
72 3.5e-07 1.0e-03 2.4e-05 1.00e+00 2.536863066e+02 2.536872315e+02 2.1e-10 2.84
73 3.5e-07 1.0e-03 2.4e-05 1.00e+00 2.536863091e+02 2.536872305e+02 2.1e-10 2.88
74 3.2e-07 9.2e-04 2.1e-05 1.00e+00 2.536863724e+02 2.536872062e+02 1.9e-10 2.90
75 3.2e-07 9.2e-04 2.1e-05 1.00e+00 2.536863746e+02 2.536872054e+02 1.9e-10 2.93
76 2.9e-07 8.3e-04 1.9e-05 1.00e+00 2.536864347e+02 2.536871823e+02 1.7e-10 2.96
77 2.7e-07 7.7e-04 1.8e-05 1.00e+00 2.536864705e+02 2.536871685e+02 1.6e-10 2.99
78 2.7e-07 7.7e-04 1.8e-05 1.00e+00 2.536864724e+02 2.536871678e+02 1.6e-10 3.03
79 2.4e-07 6.9e-04 1.6e-05 1.00e+00 2.536865226e+02 2.536871485e+02 1.4e-10 3.06
80 2.4e-07 6.9e-04 1.6e-05 1.00e+00 2.536865243e+02 2.536871479e+02 1.4e-10 3.09
81 2.1e-07 6.2e-04 1.4e-05 1.00e+00 2.536865694e+02 2.536871306e+02 1.3e-10 3.13
82 1.9e-07 5.6e-04 1.3e-05 1.00e+00 2.536866099e+02 2.536871150e+02 1.1e-10 3.16
83 1.7e-07 5.1e-04 1.2e-05 1.00e+00 2.536866446e+02 2.536871017e+02 1.0e-10 3.19
84 1.7e-07 5.1e-04 1.2e-05 1.00e+00 2.536866458e+02 2.536871012e+02 1.0e-10 3.22
85 1.6e-07 4.6e-04 1.1e-05 1.00e+00 2.536866771e+02 2.536870892e+02 9.3e-11 3.25
86 1.6e-07 4.6e-04 1.1e-05 1.00e+00 2.536866782e+02 2.536870888e+02 9.2e-11 3.28
87 1.6e-07 4.6e-04 1.1e-05 1.00e+00 2.536866793e+02 2.536870883e+02 9.2e-11 3.31
88 1.4e-07 4.1e-04 9.5e-06 1.00e+00 2.536867074e+02 2.536870775e+02 8.3e-11 3.35
89 1.3e-07 3.7e-04 8.6e-06 1.00e+00 2.536867341e+02 2.536870673e+02 7.5e-11 3.38
90 1.2e-07 3.4e-04 7.8e-06 1.00e+00 2.536867558e+02 2.536870589e+02 6.8e-11 3.41
91 1.0e-07 3.1e-04 7.1e-06 1.00e+00 2.536867766e+02 2.536870509e+02 6.2e-11 3.44
92 1.0e-07 3.1e-04 7.0e-06 1.00e+00 2.536867774e+02 2.536870506e+02 6.1e-11 3.48
93 9.5e-08 2.8e-04 6.4e-06 1.00e+00 2.536867952e+02 2.536870438e+02 5.6e-11 3.51
94 8.9e-08 2.6e-04 6.0e-06 1.00e+00 2.536868071e+02 2.536870392e+02 5.2e-11 3.54
95 8.0e-08 2.4e-04 5.4e-06 1.00e+00 2.536868230e+02 2.536870331e+02 4.7e-11 3.58
96 7.2e-08 2.1e-04 4.9e-06 1.00e+00 2.536868382e+02 2.536870272e+02 4.2e-11 3.61
97 6.9e-08 2.0e-04 4.6e-06 1.00e+00 2.536868442e+02 2.536870249e+02 4.1e-11 3.64
98 6.9e-08 2.0e-04 4.6e-06 1.00e+00 2.536868442e+02 2.536870249e+02 4.1e-11 3.68
99 6.2e-08 1.8e-04 4.2e-06 1.00e+00 2.536868572e+02 2.536870199e+02 3.7e-11 3.71
100 6.2e-08 1.8e-04 4.2e-06 1.00e+00 2.536868573e+02 2.536870199e+02 3.7e-11 3.74
101 5.6e-08 1.6e-04 3.8e-06 1.00e+00 2.536868690e+02 2.536870154e+02 3.3e-11 3.78
102 5.0e-08 1.5e-04 3.4e-06 1.00e+00 2.536868796e+02 2.536870113e+02 3.0e-11 3.81
103 4.6e-08 1.3e-04 3.1e-06 1.00e+00 2.536868882e+02 2.536870080e+02 2.7e-11 3.84
104 4.2e-08 1.2e-04 2.8e-06 1.00e+00 2.536868960e+02 2.536870050e+02 2.4e-11 3.87
105 4.2e-08 1.2e-04 2.8e-06 1.00e+00 2.536868960e+02 2.536870050e+02 2.4e-11 3.91
106 4.2e-08 1.2e-04 2.8e-06 1.00e+00 2.536868960e+02 2.536870050e+02 2.4e-11 3.94
107 3.8e-08 1.1e-04 2.5e-06 1.00e+00 2.536869039e+02 2.536870019e+02 2.2e-11 3.97
108 3.4e-08 9.9e-05 2.3e-06 1.00e+00 2.536869109e+02 2.536869992e+02 2.0e-11 4.00
109 3.3e-08 9.7e-05 2.2e-06 1.00e+00 2.536869122e+02 2.536869987e+02 1.9e-11 4.04
110 3.0e-08 8.8e-05 2.0e-06 1.00e+00 2.536869178e+02 2.536869966e+02 1.8e-11 4.07
111 3.0e-08 8.8e-05 2.0e-06 1.00e+00 2.536869178e+02 2.536869966e+02 1.8e-11 4.11
112 2.7e-08 8.0e-05 1.8e-06 1.00e+00 2.536869232e+02 2.536869945e+02 1.6e-11 4.14
113 2.5e-08 7.4e-05 1.7e-06 1.00e+00 2.536869266e+02 2.536869932e+02 1.5e-11 4.17
114 2.5e-08 7.4e-05 1.7e-06 9.99e-01 2.536869266e+02 2.536869932e+02 1.5e-11 4.20
115 2.4e-08 7.0e-05 1.6e-06 9.99e-01 2.536869298e+02 2.536869919e+02 1.4e-11 4.23
116 2.2e-08 6.3e-05 1.5e-06 1.00e+00 2.536869339e+02 2.536869904e+02 1.3e-11 4.26
117 1.9e-08 5.7e-05 1.3e-06 9.98e-01 2.536869379e+02 2.536869888e+02 1.1e-11 4.30
118 1.8e-08 5.2e-05 1.2e-06 1.00e+00 2.536869413e+02 2.536869875e+02 1.0e-11 4.33
119 1.6e-08 4.7e-05 1.1e-06 1.00e+00 2.536869443e+02 2.536869864e+02 9.5e-12 4.36
120 1.6e-08 4.7e-05 1.1e-06 1.00e+00 2.536869443e+02 2.536869864e+02 9.5e-12 4.39
121 1.4e-08 4.2e-05 9.7e-07 1.00e+00 2.536869473e+02 2.536869852e+02 8.5e-12 4.43
122 1.3e-08 3.8e-05 8.8e-07 9.99e-01 2.536869499e+02 2.536869842e+02 7.7e-12 4.45
123 1.2e-08 3.5e-05 8.0e-07 1.00e+00 2.536869523e+02 2.536869833e+02 7.0e-12 4.48
124 1.1e-08 3.2e-05 7.3e-07 9.99e-01 2.536869541e+02 2.536869826e+02 6.4e-12 4.51
125 1.1e-08 3.2e-05 7.3e-07 1.00e+00 2.536869541e+02 2.536869826e+02 6.4e-12 4.53
126 9.8e-09 2.9e-05 6.6e-07 1.00e+00 2.536869562e+02 2.536869818e+02 5.8e-12 4.57
Interior-point optimizer terminated. Time: 4.57.
Optimizer terminated. Time: 4.62
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695618e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698177e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.64 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 0.07
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.264180260e+05 3.781070854e+00 4.7e-01 0.12
2 4.6e+02 6.0e+02 2.6e+04 -9.35e-01 -1.210471961e+05 9.871250670e+00 2.0e-01 0.15
3 2.9e+02 3.8e+02 1.6e+04 -8.50e-01 -1.158624976e+05 5.253701885e+01 1.3e-01 0.21
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.137381539e+05 1.863811988e+03 1.3e-01 0.28
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.842864605e+04 9.038469630e+03 3.6e-02 0.31
6 3.6e+01 4.7e+01 2.0e+03 -2.53e-01 -4.698030060e+04 1.010176984e+04 1.6e-02 0.36
7 1.8e+01 2.4e+01 1.0e+03 2.76e-01 -2.813348713e+04 6.397682961e+03 8.2e-03 0.39
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.477869518e+04 4.004072536e+03 4.0e-03 0.42
9 5.7e+00 7.4e+00 3.2e+02 8.20e-01 -9.247829925e+03 2.776682019e+03 2.5e-03 0.45
10 1.9e+00 2.5e+00 1.1e+02 9.03e-01 -3.003060358e+03 1.154002774e+03 8.5e-04 0.48
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.419019226e+03 1.010907183e+03 7.0e-04 0.52
12 1.0e+00 1.4e+00 5.7e+01 9.77e-01 -1.494909791e+03 7.263450277e+02 4.5e-04 0.55
13 4.7e-01 7.0e-01 2.7e+01 9.83e-01 -6.134620592e+02 4.375216469e+02 2.1e-04 0.59
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.355955526e+02 3.290669006e+02 1.1e-04 0.63
15 1.0e-01 1.7e-01 5.9e+00 1.00e+00 7.317582394e+00 2.369834151e+02 4.7e-05 0.66
16 5.0e-02 1.0e-01 2.9e+00 1.00e+00 9.073385568e+01 2.038614849e+02 2.3e-05 0.69
17 1.0e-02 1.5e-01 6.3e-01 1.01e+00 1.546017191e+02 1.791070631e+02 5.2e-06 0.72
18 6.2e-03 1.0e-01 3.8e-01 1.01e+00 1.615121011e+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 1.734658676e+02 8.7e-07 0.77
20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717779149e+02 1.726253081e+02 1.9e-07 0.80
21 1.4e-04 1.0e-01 9.3e-03 9.93e-01 1.721395927e+02 1.725021456e+02 8.2e-08 0.83
22 8.8e-05 8.3e-02 5.9e-03 1.00e+00 1.722353226e+02 1.724645586e+02 5.2e-08 0.87
23 7.9e-05 7.7e-02 5.3e-03 1.00e+00 1.722533713e+02 1.724597544e+02 4.7e-08 0.90
24 7.1e-05 7.0e-02 4.8e-03 1.00e+00 1.722685693e+02 1.724543186e+02 4.2e-08 0.93
25 6.4e-05 6.4e-02 4.3e-03 1.00e+00 1.722822904e+02 1.724494656e+02 3.8e-08 0.96
26 5.8e-05 5.8e-02 3.9e-03 1.00e+00 1.722946102e+02 1.724450676e+02 3.4e-08 1.00
27 5.2e-05 5.3e-02 3.5e-03 1.00e+00 1.723056852e+02 1.724410960e+02 3.1e-08 1.03
28 4.7e-05 4.9e-02 3.1e-03 1.00e+00 1.723156377e+02 1.724375063e+02 2.8e-08 1.05
29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723245814e+02 1.724342620e+02 2.5e-08 1.08
30 3.8e-05 4.1e-02 2.5e-03 1.00e+00 1.723326186e+02 1.724313299e+02 2.2e-08 1.11
31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723398413e+02 1.724286805e+02 2.0e-08 1.14
32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723463328e+02 1.724262872e+02 1.8e-08 1.19
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723521676e+02 1.724241258e+02 1.6e-08 1.22
34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723574127e+02 1.724221746e+02 1.5e-08 1.27
35 2.2e-05 2.8e-02 1.5e-03 1.00e+00 1.723621284e+02 1.724204136e+02 1.3e-08 1.30
36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723663684e+02 1.724188247e+02 1.2e-08 1.32
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723701810e+02 1.724173913e+02 1.1e-08 1.35
38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723736096e+02 1.724160986e+02 9.6e-09 1.38
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723766929e+02 1.724149330e+02 8.6e-09 1.42
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723794660e+02 1.724138820e+02 7.8e-09 1.45
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723819602e+02 1.724129345e+02 7.0e-09 1.48
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723842036e+02 1.724120804e+02 6.3e-09 1.51
43 9.6e-06 1.6e-02 6.5e-04 1.00e+00 1.723862215e+02 1.724113107e+02 5.7e-09 1.55
44 8.7e-06 1.5e-02 5.8e-04 1.00e+00 1.723880367e+02 1.724106169e+02 5.1e-09 1.58
45 7.8e-06 1.5e-02 5.2e-04 1.00e+00 1.723896696e+02 1.724099918e+02 4.6e-09 1.61
46 7.0e-06 1.4e-02 4.7e-04 1.00e+00 1.723911385e+02 1.724094285e+02 4.1e-09 1.64
47 6.3e-06 1.3e-02 4.3e-04 1.00e+00 1.723924600e+02 1.724089210e+02 3.7e-09 1.67
48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723936488e+02 1.724084638e+02 3.3e-09 1.70
49 5.1e-06 1.2e-02 3.4e-04 1.00e+00 1.723947184e+02 1.724080519e+02 3.0e-09 1.73
50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723956807e+02 1.724076809e+02 2.7e-09 1.78
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965465e+02 1.724073467e+02 2.4e-09 1.81
52 3.7e-06 1.1e-02 2.5e-04 1.00e+00 1.723973255e+02 1.724070457e+02 2.2e-09 1.84
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980263e+02 1.724067746e+02 2.0e-09 1.88
54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986570e+02 1.724065305e+02 1.8e-09 1.91
55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992244e+02 1.724063106e+02 1.6e-09 1.94
56 2.5e-06 9.7e-03 1.6e-04 1.00e+00 1.723997350e+02 1.724061126e+02 1.4e-09 1.97
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001945e+02 1.724059343e+02 1.3e-09 2.01
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724006079e+02 1.724057738e+02 1.2e-09 2.04
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009798e+02 1.724056292e+02 1.1e-09 2.08
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013146e+02 1.724054990e+02 9.5e-10 2.11
61 1.4e-06 8.8e-03 9.7e-05 1.00e+00 1.724016158e+02 1.724053818e+02 8.5e-10 2.14
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018868e+02 1.724052763e+02 7.7e-10 2.17
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021307e+02 1.724051812e+02 6.9e-10 2.20
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023502e+02 1.724050957e+02 6.2e-10 2.23
65 9.5e-07 8.4e-03 6.4e-05 1.00e+00 1.724025477e+02 1.724050187e+02 5.6e-10 2.25
66 8.5e-07 8.3e-03 5.7e-05 1.00e+00 1.724027254e+02 1.724049493e+02 5.0e-10 2.28
67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028854e+02 1.724048869e+02 4.5e-10 2.31
68 6.9e-07 8.1e-03 4.7e-05 1.00e+00 1.724030293e+02 1.724048306e+02 4.1e-10 2.33
69 6.2e-07 8.1e-03 4.2e-05 1.00e+00 1.724031588e+02 1.724047800e+02 3.7e-10 2.37
70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032753e+02 1.724047344e+02 3.3e-10 2.40
71 5.0e-07 7.9e-03 3.4e-05 1.00e+00 1.724033802e+02 1.724046934e+02 3.0e-10 2.43
72 4.5e-07 7.9e-03 3.1e-05 1.00e+00 1.724034746e+02 1.724046565e+02 2.7e-10 2.46
73 4.1e-07 7.8e-03 2.7e-05 1.00e+00 1.724035595e+02 1.724046232e+02 2.4e-10 2.50
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036359e+02 1.724045933e+02 2.2e-10 2.53
75 3.3e-07 7.7e-03 2.2e-05 1.00e+00 1.724037047e+02 1.724045663e+02 1.9e-10 2.56
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037666e+02 1.724045420e+02 1.8e-10 2.60
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038223e+02 1.724045201e+02 1.6e-10 2.62
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038724e+02 1.724045005e+02 1.4e-10 2.65
79 2.2e-07 7.6e-03 1.5e-05 9.99e-01 1.724039175e+02 1.724044828e+02 1.3e-10 2.68
80 2.0e-07 7.6e-03 1.3e-05 9.99e-01 1.724039581e+02 1.724044669e+02 1.2e-10 2.72
81 1.8e-07 7.6e-03 1.2e-05 1.00e+00 1.724039946e+02 1.724044524e+02 1.0e-10 2.75
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040275e+02 1.724044395e+02 9.3e-11 2.78
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040571e+02 1.724044279e+02 8.4e-11 2.81
84 1.3e-07 7.5e-03 8.6e-06 1.00e+00 1.724040837e+02 1.724044174e+02 7.5e-11 2.85
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041076e+02 1.724044080e+02 6.8e-11 2.88
86 1.0e-07 7.4e-03 7.0e-06 1.00e+00 1.724041292e+02 1.724043995e+02 6.1e-11 2.91
87 9.4e-08 7.4e-03 6.3e-06 9.96e-01 1.724041486e+02 1.724043919e+02 5.5e-11 2.94
88 8.4e-08 7.4e-03 5.7e-06 1.00e+00 1.724041660e+02 1.724043850e+02 5.0e-11 2.98
89 7.6e-08 7.4e-03 5.1e-06 1.00e+00 1.724041817e+02 1.724043788e+02 4.5e-11 3.01
90 6.8e-08 7.4e-03 4.6e-06 9.96e-01 1.724041958e+02 1.724043733e+02 4.0e-11 3.03
91 6.1e-08 7.3e-03 4.1e-06 1.00e+00 1.724042086e+02 1.724043683e+02 3.6e-11 3.07
92 5.5e-08 7.3e-03 3.7e-06 1.00e+00 1.724042200e+02 1.724043637e+02 3.2e-11 3.10
93 5.0e-08 7.3e-03 3.3e-06 1.00e+00 1.724042303e+02 1.724043597e+02 2.9e-11 3.13
94 4.5e-08 7.3e-03 3.0e-06 1.00e+00 1.724042396e+02 1.724043560e+02 2.6e-11 3.16
95 4.0e-08 6.6e-03 2.7e-06 1.00e+00 1.724042480e+02 1.724043527e+02 2.4e-11 3.20
96 3.6e-08 5.9e-03 2.4e-06 1.00e+00 1.724042555e+02 1.724043497e+02 2.1e-11 3.23
97 3.3e-08 5.3e-03 2.2e-06 1.00e+00 1.724042623e+02 1.724043470e+02 1.9e-11 3.26
98 2.9e-08 4.8e-03 2.0e-06 1.00e+00 1.724042684e+02 1.724043446e+02 1.7e-11 3.29
99 2.6e-08 4.3e-03 1.8e-06 9.94e-01 1.724042739e+02 1.724043424e+02 1.6e-11 3.32
100 2.4e-08 3.9e-03 1.6e-06 9.99e-01 1.724042788e+02 1.724043405e+02 1.4e-11 3.35
101 2.1e-08 3.5e-03 1.4e-06 1.00e+00 1.724042832e+02 1.724043387e+02 1.3e-11 3.39
102 1.9e-08 3.1e-03 1.3e-06 1.01e+00 1.724042873e+02 1.724043371e+02 1.1e-11 3.42
103 1.7e-08 2.8e-03 1.2e-06 1.01e+00 1.724042909e+02 1.724043357e+02 1.0e-11 3.45
104 1.6e-08 2.5e-03 1.0e-06 1.00e+00 1.724042941e+02 1.724043344e+02 9.2e-12 3.48
105 4.0e-09 6.5e-04 2.7e-07 1.02e+00 1.724043155e+02 1.724043257e+02 2.3e-12 3.51
106 3.7e-09 5.8e-04 2.4e-07 1.06e+00 1.724043165e+02 1.724043254e+02 2.2e-12 3.54
107 1.4e-09 6.5e-05 2.7e-08 8.87e-01 1.724043224e+02 1.724043234e+02 3.3e-13 3.58
Interior-point optimizer terminated. Time: 3.58.
Optimizer terminated. Time: 3.63
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432238e+02 Viol. con: 4e-08 var: 0e+00
Dual. obj: 1.7240432342e+02 Viol. con: 0e+00 var: 5e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.65 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.289209298e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.267404412e+05 3.637047695e+00 4.8e-01 0.09
2 4.4e+02 5.7e+02 2.4e+04 -9.36e-01 -1.207993264e+05 1.004622073e+01 1.9e-01 0.12
3 2.9e+02 3.8e+02 1.6e+04 -8.43e-01 -1.160618620e+05 5.990662348e+01 1.3e-01 0.16
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.136045222e+05 2.136091991e+03 1.3e-01 0.19
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.752618196e+04 9.316590309e+03 3.5e-02 0.24
6 4.0e+01 5.2e+01 2.2e+03 -2.34e-01 -5.076740454e+04 1.003179606e+04 1.8e-02 0.29
7 3.0e+01 3.9e+01 1.7e+03 2.19e-01 -4.171035490e+04 8.294890375e+03 1.3e-02 0.32
8 1.9e+01 2.4e+01 1.0e+03 3.81e-01 -2.865143572e+04 5.387065619e+03 8.1e-03 0.35
9 7.9e+00 1.0e+01 4.4e+02 6.03e-01 -1.310598776e+04 3.143052200e+03 3.5e-03 0.38
10 4.0e+00 5.2e+00 2.2e+02 8.46e-01 -6.378105787e+03 2.128675359e+03 1.8e-03 0.41
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.514568920e+03 1.314879955e+03 9.9e-04 0.45
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.333958220e+03 6.456478401e+02 4.0e-04 0.49
13 8.2e-01 1.1e+00 4.6e+01 9.70e-01 -1.223648399e+03 5.999352247e+02 3.7e-04 0.52
14 5.9e-01 7.8e-01 3.3e+01 9.74e-01 -8.149803382e+02 4.893560076e+02 2.6e-04 0.56
15 2.2e-01 7.6e-01 1.2e+01 9.90e-01 -1.999776034e+02 2.844519858e+02 9.8e-05 0.59
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.241236553e+01 2.161155719e+02 4.9e-05 0.62
17 7.7e-02 2.8e-01 4.5e+00 1.01e+00 2.681141874e+01 2.015600885e+02 3.6e-05 0.65
18 5.1e-02 2.0e-01 3.0e+00 1.02e+00 7.891961347e+01 1.950359972e+02 2.4e-05 0.69
19 1.4e-02 1.1e-01 8.5e-01 1.00e+00 1.414701431e+02 1.745814770e+02 6.9e-06 0.71
20 4.0e-03 2.2e-01 2.4e-01 1.02e+00 1.602704382e+02 1.696481210e+02 1.9e-06 0.75
21 2.7e-03 2.1e-01 1.6e-01 1.01e+00 1.624284102e+02 1.687369733e+02 1.3e-06 0.78
22 1.9e-03 1.5e-01 1.2e-01 1.00e+00 1.637169813e+02 1.683012416e+02 9.5e-07 0.81
23 7.5e-04 9.5e-02 4.7e-02 1.01e+00 1.658030003e+02 1.676006491e+02 3.8e-07 0.84
24 3.6e-04 7.9e-02 2.3e-02 1.01e+00 1.664694796e+02 1.673480686e+02 1.9e-07 0.87
25 3.3e-04 7.2e-02 2.1e-02 1.01e+00 1.665375940e+02 1.673287176e+02 1.7e-07 0.90
26 3.0e-04 6.6e-02 1.9e-02 1.01e+00 1.665946837e+02 1.673064357e+02 1.5e-07 0.93
27 2.7e-04 6.0e-02 1.7e-02 1.01e+00 1.666462687e+02 1.672866387e+02 1.4e-07 0.97
28 2.4e-04 5.5e-02 1.5e-02 1.01e+00 1.666924598e+02 1.672686224e+02 1.2e-07 1.01
29 2.2e-04 5.0e-02 1.4e-02 1.01e+00 1.667339060e+02 1.672523129e+02 1.1e-07 1.05
30 1.9e-04 4.6e-02 1.2e-02 1.01e+00 1.667710668e+02 1.672375189e+02 9.9e-08 1.08
31 1.7e-04 4.2e-02 1.1e-02 1.01e+00 1.668043866e+02 1.672241002e+02 8.9e-08 1.11
32 1.6e-04 3.8e-02 9.9e-03 1.01e+00 1.668342606e+02 1.672119268e+02 8.0e-08 1.14
33 1.4e-04 3.5e-02 8.9e-03 1.01e+00 1.668610454e+02 1.672008832e+02 7.2e-08 1.17
34 1.3e-04 3.3e-02 8.0e-03 1.01e+00 1.668850615e+02 1.671908654e+02 6.5e-08 1.23
35 1.1e-04 3.0e-02 7.2e-03 1.00e+00 1.669065972e+02 1.671817803e+02 5.8e-08 1.25
36 1.0e-04 2.8e-02 6.5e-03 1.00e+00 1.669259116e+02 1.671735439e+02 5.3e-08 1.29
37 9.3e-05 2.6e-02 5.8e-03 1.00e+00 1.669432369e+02 1.671660798e+02 4.7e-08 1.32
38 8.3e-05 2.4e-02 5.3e-03 1.00e+00 1.669587806e+02 1.671593183e+02 4.3e-08 1.35
39 7.5e-05 2.2e-02 4.7e-03 1.00e+00 1.669727285e+02 1.671531958e+02 3.8e-08 1.39
40 6.7e-05 2.1e-02 4.3e-03 1.00e+00 1.669852461e+02 1.671476536e+02 3.5e-08 1.42
41 6.1e-05 2.0e-02 3.8e-03 1.00e+00 1.669964820e+02 1.671426384e+02 3.1e-08 1.45
42 5.5e-05 1.8e-02 3.4e-03 1.00e+00 1.670065687e+02 1.671381013e+02 2.8e-08 1.49
43 4.9e-05 1.7e-02 3.1e-03 1.00e+00 1.670156249e+02 1.671339979e+02 2.5e-08 1.52
44 4.4e-05 1.6e-02 2.8e-03 1.00e+00 1.670237569e+02 1.671302879e+02 2.3e-08 1.55
45 4.0e-05 1.6e-02 2.5e-03 1.00e+00 1.670310599e+02 1.671269341e+02 2.0e-08 1.59
46 3.6e-05 1.5e-02 2.3e-03 1.00e+00 1.670376192e+02 1.671239032e+02 1.8e-08 1.62
47 3.2e-05 1.4e-02 2.0e-03 1.00e+00 1.670435110e+02 1.671211646e+02 1.7e-08 1.66
48 2.9e-05 1.4e-02 1.8e-03 1.00e+00 1.670488040e+02 1.671186907e+02 1.5e-08 1.69
49 2.6e-05 1.3e-02 1.7e-03 1.00e+00 1.670535594e+02 1.671164564e+02 1.3e-08 1.72
50 2.4e-05 1.3e-02 1.5e-03 1.00e+00 1.670578323e+02 1.671144388e+02 1.2e-08 1.76
51 2.1e-05 1.2e-02 1.3e-03 1.00e+00 1.670616719e+02 1.671126173e+02 1.1e-08 1.79
52 1.9e-05 1.2e-02 1.2e-03 1.00e+00 1.670651225e+02 1.671109730e+02 9.8e-09 1.82
53 1.7e-05 1.1e-02 1.1e-03 1.00e+00 1.670682238e+02 1.671094891e+02 8.8e-09 1.85
54 1.5e-05 1.1e-02 9.7e-04 1.00e+00 1.670710114e+02 1.671081500e+02 7.9e-09 1.88
55 1.4e-05 1.1e-02 8.8e-04 1.00e+00 1.670735171e+02 1.671069418e+02 7.1e-09 1.92
56 1.3e-05 1.0e-02 7.9e-04 1.00e+00 1.670757697e+02 1.671058520e+02 6.4e-09 1.96
57 1.1e-05 1.0e-02 7.1e-04 1.00e+00 1.670777948e+02 1.671048690e+02 5.8e-09 1.99
58 1.0e-05 1.0e-02 6.4e-04 1.00e+00 1.670796157e+02 1.671039824e+02 5.2e-09 2.02
59 9.1e-06 9.8e-03 5.8e-04 1.00e+00 1.670812529e+02 1.671031831e+02 4.7e-09 2.05
60 8.2e-06 9.6e-03 5.2e-04 1.00e+00 1.670827252e+02 1.671024624e+02 4.2e-09 2.08
61 7.4e-06 9.5e-03 4.7e-04 1.00e+00 1.670840492e+02 1.671018127e+02 3.8e-09 2.12
62 6.6e-06 9.3e-03 4.2e-04 1.00e+00 1.670852399e+02 1.671012271e+02 3.4e-09 2.15
63 6.0e-06 9.2e-03 3.8e-04 1.00e+00 1.670863109e+02 1.671006994e+02 3.1e-09 2.18
64 5.4e-06 9.1e-03 3.4e-04 1.00e+00 1.670872741e+02 1.671002239e+02 2.8e-09 2.22
65 2.0e-06 3.4e-03 1.3e-04 1.00e+00 1.670926195e+02 1.670975545e+02 1.1e-09 2.26
66 6.9e-07 1.2e-03 4.4e-05 1.00e+00 1.670947958e+02 1.670964663e+02 3.6e-10 2.30
67 6.2e-07 1.0e-03 3.9e-05 1.00e+00 1.670949102e+02 1.670964136e+02 3.2e-10 2.33
68 5.6e-07 9.4e-04 3.6e-05 1.00e+00 1.670950097e+02 1.670963627e+02 2.9e-10 2.36
69 5.0e-07 8.5e-04 3.2e-05 1.00e+00 1.670950995e+02 1.670963172e+02 2.6e-10 2.39
70 4.5e-07 7.6e-04 2.9e-05 1.00e+00 1.670951803e+02 1.670962762e+02 2.3e-10 2.42
71 4.1e-07 6.9e-04 2.6e-05 1.00e+00 1.670952529e+02 1.670962392e+02 2.1e-10 2.45
72 3.7e-07 6.2e-04 2.3e-05 9.99e-01 1.670953182e+02 1.670962059e+02 1.9e-10 2.48
73 3.3e-07 5.6e-04 2.1e-05 1.00e+00 1.670953770e+02 1.670961759e+02 1.7e-10 2.51
74 3.0e-07 5.0e-04 1.9e-05 9.99e-01 1.670954299e+02 1.670961489e+02 1.5e-10 2.55
75 2.7e-07 4.5e-04 1.7e-05 1.00e+00 1.670954774e+02 1.670961246e+02 1.4e-10 2.58
76 2.4e-07 4.1e-04 1.5e-05 1.00e+00 1.670955202e+02 1.670961026e+02 1.2e-10 2.61
77 2.2e-07 3.7e-04 1.4e-05 1.00e+00 1.670955587e+02 1.670960829e+02 1.1e-10 2.64
78 2.0e-07 3.3e-04 1.2e-05 1.00e+00 1.670955934e+02 1.670960651e+02 1.0e-10 2.67
79 1.8e-07 3.0e-04 1.1e-05 9.99e-01 1.670956245e+02 1.670960492e+02 9.1e-11 2.70
80 1.6e-07 2.7e-04 1.0e-05 1.00e+00 1.670956526e+02 1.670960347e+02 8.2e-11 2.73
81 1.4e-07 2.4e-04 9.0e-06 1.00e+00 1.670956778e+02 1.670960218e+02 7.3e-11 2.76
82 1.3e-07 2.2e-04 8.1e-06 1.00e+00 1.670957006e+02 1.670960100e+02 6.6e-11 2.80
83 1.2e-07 1.9e-04 7.3e-06 1.00e+00 1.670957210e+02 1.670959995e+02 5.9e-11 2.83
84 1.0e-07 1.7e-04 6.6e-06 9.97e-01 1.670957394e+02 1.670959901e+02 5.4e-11 2.86
85 9.3e-08 1.6e-04 5.9e-06 9.99e-01 1.670957559e+02 1.670959816e+02 4.8e-11 2.89
86 8.4e-08 1.4e-04 5.3e-06 1.01e+00 1.670957714e+02 1.670959736e+02 4.4e-11 2.92
87 7.6e-08 1.3e-04 4.8e-06 9.95e-01 1.670957847e+02 1.670959667e+02 3.9e-11 2.95
88 6.8e-08 1.1e-04 4.3e-06 1.01e+00 1.670957969e+02 1.670959604e+02 3.5e-11 2.98
89 6.1e-08 1.0e-04 3.9e-06 9.93e-01 1.670958077e+02 1.670959549e+02 3.2e-11 3.01
90 5.5e-08 9.3e-05 3.5e-06 9.98e-01 1.670958174e+02 1.670959499e+02 2.9e-11 3.04
91 5.0e-08 8.4e-05 3.1e-06 1.00e+00 1.670958262e+02 1.670959454e+02 2.6e-11 3.07
92 4.5e-08 7.5e-05 2.8e-06 9.91e-01 1.670958340e+02 1.670959414e+02 2.3e-11 3.10
93 4.0e-08 6.8e-05 2.6e-06 9.80e-01 1.670958411e+02 1.670959378e+02 2.1e-11 3.14
94 3.6e-08 6.1e-05 2.3e-06 1.01e+00 1.670958476e+02 1.670959344e+02 1.9e-11 3.17
95 3.3e-08 5.5e-05 2.1e-06 9.97e-01 1.670958533e+02 1.670959315e+02 1.7e-11 3.20
96 2.9e-08 4.9e-05 1.9e-06 1.03e+00 1.670958591e+02 1.670959284e+02 1.5e-11 3.23
97 2.6e-08 4.4e-05 1.7e-06 9.91e-01 1.670958637e+02 1.670959261e+02 1.4e-11 3.26
98 2.4e-08 4.0e-05 1.5e-06 1.00e+00 1.670958678e+02 1.670959240e+02 1.3e-11 3.29
99 2.1e-08 3.6e-05 1.4e-06 1.00e+00 1.670958715e+02 1.670959220e+02 1.1e-11 3.31
100 1.9e-08 3.2e-05 1.2e-06 1.00e+00 1.670958748e+02 1.670959203e+02 1.0e-11 3.34
101 1.7e-08 2.9e-05 1.1e-06 1.03e+00 1.670958783e+02 1.670959185e+02 9.3e-12 3.36
Interior-point optimizer terminated. Time: 3.37.
Optimizer terminated. Time: 3.41
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587825e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6709591851e+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 -1.286499292e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264834065e+05 3.586695347e+00 4.8e-01 0.11
2 4.3e+02 5.6e+02 2.4e+04 -9.36e-01 -1.204818365e+05 1.001253198e+01 1.9e-01 0.13
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.157492287e+05 6.085657190e+01 1.3e-01 0.16
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131499797e+05 2.257752483e+03 1.3e-01 0.19
5 7.4e+01 9.6e+01 4.1e+03 -7.55e-01 -7.449023438e+04 9.842637803e+03 3.3e-02 0.22
6 3.6e+01 4.7e+01 2.0e+03 -1.90e-01 -4.726342381e+04 1.026281804e+04 1.6e-02 0.25
7 2.2e+01 2.9e+01 1.3e+03 2.77e-01 -3.297726524e+04 7.148446581e+03 9.9e-03 0.28
8 1.4e+01 1.7e+01 7.5e+02 5.32e-01 -2.145910125e+04 4.808150970e+03 6.0e-03 0.31
9 5.3e+00 6.9e+00 3.0e+02 7.21e-01 -8.768055973e+03 2.417289271e+03 2.4e-03 0.33
10 2.4e+00 3.1e+00 1.3e+02 9.13e-01 -3.743290472e+03 1.405436764e+03 1.1e-03 0.36
11 1.7e+00 2.3e+00 9.8e+01 9.75e-01 -2.706773895e+03 1.075292037e+03 7.8e-04 0.39
12 8.2e-01 1.1e+00 4.6e+01 9.83e-01 -1.189760397e+03 5.993139256e+02 3.7e-04 0.42
13 7.5e-01 1.1e+00 4.2e+01 9.48e-01 -1.109365445e+03 5.596608721e+02 3.4e-04 0.46
14 6.3e-01 8.8e-01 3.5e+01 9.86e-01 -8.799137144e+02 5.072310605e+02 2.8e-04 0.48
15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.584743726e+02 2.541998849e+02 8.4e-05 0.51
16 1.0e-01 1.7e-01 5.9e+00 1.01e+00 -1.976710212e+01 2.098853096e+02 4.7e-05 0.55
17 1.0e-01 1.7e-01 5.8e+00 1.02e+00 -1.809007796e+01 2.102290914e+02 4.7e-05 0.58
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.591136828e+01 2.106371565e+02 4.0e-05 0.60
19 4.3e-02 9.6e-02 2.5e+00 1.01e+00 9.060694247e+01 1.877231677e+02 2.0e-05 0.64
20 1.2e-02 1.9e-01 6.8e-01 1.01e+00 1.471515677e+02 1.733931855e+02 5.5e-06 0.67
21 4.3e-03 3.5e-01 2.6e-01 1.01e+00 1.590336055e+02 1.689617233e+02 2.1e-06 0.70
22 1.2e-03 1.7e-01 7.5e-02 1.01e+00 1.645645597e+02 1.674293777e+02 6.1e-07 0.73
23 6.7e-04 1.2e-01 4.2e-02 9.81e-01 1.654774334e+02 1.670873702e+02 3.5e-07 0.76
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662934820e+02 1.667797713e+02 1.1e-07 0.79
25 6.2e-05 1.1e-01 4.1e-03 1.01e+00 1.665280016e+02 1.666839137e+02 3.5e-08 0.82
26 2.0e-05 1.1e-01 1.4e-03 1.01e+00 1.666013207e+02 1.666531311e+02 1.2e-08 0.84
27 6.5e-06 1.1e-01 4.4e-04 1.00e+00 1.666261846e+02 1.666427323e+02 3.8e-09 0.89
28 2.2e-06 1.0e-01 1.5e-04 1.00e+00 1.666337601e+02 1.666395182e+02 1.3e-09 0.91
29 7.7e-07 9.7e-02 5.3e-05 1.00e+00 1.666363790e+02 1.666383687e+02 4.5e-10 0.94
30 3.4e-07 8.2e-02 2.3e-05 1.00e+00 1.666371513e+02 1.666380168e+02 2.0e-10 0.97
31 7.3e-08 1.8e-02 5.0e-06 1.00e+00 1.666376164e+02 1.666378051e+02 4.3e-11 0.99
32 6.6e-08 1.6e-02 4.5e-06 1.00e+00 1.666376304e+02 1.666378002e+02 3.9e-11 1.02
33 5.9e-08 1.6e-02 4.1e-06 1.00e+00 1.666376421e+02 1.666377948e+02 3.5e-11 1.05
34 5.3e-08 1.5e-02 3.7e-06 1.00e+00 1.666376525e+02 1.666377899e+02 3.1e-11 1.08
35 4.8e-08 1.4e-02 3.3e-06 1.01e+00 1.666376623e+02 1.666377852e+02 2.8e-11 1.12
36 4.3e-08 1.3e-02 3.0e-06 9.94e-01 1.666376706e+02 1.666377813e+02 2.6e-11 1.15
37 3.9e-08 1.3e-02 2.7e-06 1.02e+00 1.666376788e+02 1.666377775e+02 2.3e-11 1.18
38 3.5e-08 1.2e-02 2.4e-06 9.96e-01 1.666376855e+02 1.666377743e+02 2.1e-11 1.20
39 3.1e-08 1.2e-02 2.2e-06 1.04e+00 1.666376926e+02 1.666377709e+02 1.9e-11 1.23
40 2.8e-08 1.2e-02 1.9e-06 1.00e+00 1.666376979e+02 1.666377684e+02 1.7e-11 1.26
41 2.5e-08 1.1e-02 1.8e-06 1.00e+00 1.666377028e+02 1.666377661e+02 1.6e-11 1.29
42 2.3e-08 1.1e-02 1.6e-06 9.89e-01 1.666377071e+02 1.666377642e+02 1.4e-11 1.33
43 2.1e-08 1.1e-02 1.4e-06 9.93e-01 1.666377110e+02 1.666377624e+02 1.3e-11 1.36
44 1.9e-08 1.0e-02 1.3e-06 9.97e-01 1.666377145e+02 1.666377607e+02 1.1e-11 1.39
45 1.7e-08 1.0e-02 1.1e-06 1.02e+00 1.666377179e+02 1.666377591e+02 1.0e-11 1.42
46 1.5e-08 1.0e-02 1.0e-06 1.01e+00 1.666377208e+02 1.666377577e+02 9.3e-12 1.45
47 1.4e-08 9.9e-03 9.3e-07 9.87e-01 1.666377233e+02 1.666377566e+02 8.4e-12 1.47
48 1.2e-08 9.6e-03 8.4e-07 9.87e-01 1.666377256e+02 1.666377555e+02 7.5e-12 1.51
49 1.1e-08 8.7e-03 7.5e-07 1.02e+00 1.666377278e+02 1.666377545e+02 6.8e-12 1.54
50 9.9e-09 8.4e-03 6.8e-07 9.52e-01 1.666377296e+02 1.666377537e+02 6.2e-12 1.57
51 8.9e-09 7.6e-03 6.1e-07 1.03e+00 1.666377315e+02 1.666377528e+02 5.6e-12 1.60
52 8.0e-09 7.5e-03 5.5e-07 9.55e-01 1.666377329e+02 1.666377521e+02 5.1e-12 1.63
53 7.2e-09 6.7e-03 4.9e-07 1.08e+00 1.666377347e+02 1.666377512e+02 4.7e-12 1.65
54 6.5e-09 6.1e-03 4.5e-07 1.00e+00 1.666377358e+02 1.666377507e+02 4.3e-12 1.68
55 5.9e-09 5.5e-03 4.0e-07 1.01e+00 1.666377369e+02 1.666377502e+02 3.9e-12 1.71
56 3.0e-09 3.3e-04 2.4e-08 8.79e-01 1.666377457e+02 1.666377466e+02 4.2e-13 1.73
Interior-point optimizer terminated. Time: 1.74.
Optimizer terminated. Time: 1.77
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774573e+02 Viol. con: 6e-08 var: 0e+00
Dual. obj: 1.6663774658e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.8 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286106757e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264422998e+05 3.580364826e+00 4.8e-01 0.51
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.203332255e+05 1.010636793e+01 1.9e-01 0.54
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.156664723e+05 6.247806030e+01 1.3e-01 0.57
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.130152819e+05 2.295884523e+03 1.3e-01 0.60
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.379604552e+04 9.860980658e+03 3.2e-02 0.65
6 3.6e+01 4.6e+01 2.0e+03 -1.80e-01 -4.641914085e+04 1.009611535e+04 1.6e-02 0.70
7 2.1e+01 2.7e+01 1.2e+03 2.91e-01 -3.097467932e+04 6.886212983e+03 9.2e-03 0.74
8 1.2e+01 1.6e+01 6.8e+02 5.65e-01 -1.945487251e+04 4.491373384e+03 5.4e-03 0.77
9 4.7e+00 6.1e+00 2.6e+02 7.53e-01 -7.765155116e+03 2.180677418e+03 2.1e-03 0.80
10 2.3e+00 3.0e+00 1.3e+02 9.26e-01 -3.530373935e+03 1.395529958e+03 1.0e-03 0.83
11 1.5e+00 1.9e+00 8.5e+01 9.77e-01 -2.301318248e+03 9.721202191e+02 6.7e-04 0.86
12 8.5e-01 1.1e+00 4.8e+01 9.85e-01 -1.230530066e+03 6.224920977e+02 3.8e-04 0.89
13 7.5e-01 1.0e+00 4.2e+01 9.54e-01 -1.093831160e+03 5.630529251e+02 3.4e-04 0.92
14 3.7e-01 5.0e-01 2.1e+01 9.85e-01 -4.359005540e+02 3.737949016e+02 1.6e-04 0.95
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.440000457e+02 2.585349484e+02 8.2e-05 0.98
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 4.980073832e+00 2.043015125e+02 4.1e-05 1.01
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.398831778e+01 2.065699222e+02 4.0e-05 1.04
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 5.949225306e+01 1.948373557e+02 2.8e-05 1.06
19 3.0e-02 7.3e-02 1.7e+00 1.01e+00 1.152798154e+02 1.809927743e+02 1.4e-05 1.09
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.525612455e+02 1.716191973e+02 4.0e-06 1.12
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622330947e+02 1.679611399e+02 1.2e-06 1.15
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639702673e+02 1.674409708e+02 7.3e-07 1.18
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656550190e+02 1.668671095e+02 2.6e-07 1.21
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661959805e+02 1.666660325e+02 1.0e-07 1.24
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662326091e+02 1.666555344e+02 9.2e-08 1.27
26 1.6e-04 7.9e-02 1.0e-02 1.01e+00 1.662628639e+02 1.666433547e+02 8.3e-08 1.30
27 1.4e-04 7.2e-02 9.0e-03 1.01e+00 1.662902745e+02 1.666326035e+02 7.5e-08 1.33
28 1.3e-04 6.6e-02 8.1e-03 1.01e+00 1.663148182e+02 1.666228207e+02 6.7e-08 1.36
29 1.2e-04 6.0e-02 7.3e-03 1.01e+00 1.663368447e+02 1.666139698e+02 6.0e-08 1.39
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663566062e+02 1.666059554e+02 5.4e-08 1.42
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663743377e+02 1.665987000e+02 4.9e-08 1.45
32 8.5e-05 4.6e-02 5.3e-03 1.01e+00 1.663902483e+02 1.665921321e+02 4.4e-08 1.48
33 7.6e-05 4.2e-02 4.8e-03 1.01e+00 1.664045262e+02 1.665861872e+02 4.0e-08 1.51
34 6.9e-05 3.8e-02 4.3e-03 1.01e+00 1.664173402e+02 1.665808071e+02 3.6e-08 1.54
35 6.2e-05 3.5e-02 3.9e-03 1.01e+00 1.664288415e+02 1.665759392e+02 3.2e-08 1.57
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664391658e+02 1.665715355e+02 2.9e-08 1.60
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664484346e+02 1.665675527e+02 2.6e-08 1.63
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664567567e+02 1.665639512e+02 2.3e-08 1.67
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664642295e+02 1.665606953e+02 2.1e-08 1.70
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664709406e+02 1.665577524e+02 1.9e-08 1.73
41 3.3e-05 2.2e-02 2.1e-03 1.00e+00 1.664769681e+02 1.665550928e+02 1.7e-08 1.76
42 2.9e-05 2.1e-02 1.9e-03 1.00e+00 1.664823822e+02 1.665526898e+02 1.5e-08 1.79
43 2.7e-05 2.0e-02 1.7e-03 1.00e+00 1.664872459e+02 1.665505191e+02 1.4e-08 1.82
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664916155e+02 1.665485585e+02 1.2e-08 1.85
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664955416e+02 1.665467881e+02 1.1e-08 1.87
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664990697e+02 1.665451897e+02 1.0e-08 1.90
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665022403e+02 1.665437470e+02 9.1e-09 1.94
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665050901e+02 1.665424451e+02 8.2e-09 1.96
49 1.4e-05 1.4e-02 8.9e-04 1.00e+00 1.665076517e+02 1.665412705e+02 7.4e-09 1.99
50 1.3e-05 1.3e-02 8.0e-04 1.00e+00 1.665099546e+02 1.665402110e+02 6.6e-09 2.01
51 1.1e-05 1.3e-02 7.2e-04 1.00e+00 1.665120252e+02 1.665392555e+02 6.0e-09 2.04
52 1.0e-05 1.2e-02 6.5e-04 1.00e+00 1.665138869e+02 1.665383939e+02 5.4e-09 2.07
53 9.3e-06 1.2e-02 5.8e-04 1.00e+00 1.665155611e+02 1.665376173e+02 4.8e-09 2.09
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665170668e+02 1.665369172e+02 4.4e-09 2.12
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665184211e+02 1.665362864e+02 3.9e-09 2.15
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665196391e+02 1.665357179e+02 3.5e-09 2.17
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665207348e+02 1.665352057e+02 3.2e-09 2.20
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217203e+02 1.665347442e+02 2.9e-09 2.23
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226069e+02 1.665343283e+02 2.6e-09 2.26
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234043e+02 1.665339537e+02 2.3e-09 2.29
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241217e+02 1.665336161e+02 2.1e-09 2.32
62 3.6e-06 9.5e-03 2.3e-04 1.00e+00 1.665247669e+02 1.665333119e+02 1.9e-09 2.36
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253472e+02 1.665330378e+02 1.7e-09 2.39
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665258692e+02 1.665327907e+02 1.5e-09 2.42
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263387e+02 1.665325681e+02 1.4e-09 2.46
66 2.4e-06 9.0e-03 1.5e-04 1.00e+00 1.665267610e+02 1.665323675e+02 1.2e-09 2.49
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271409e+02 1.665321868e+02 1.1e-09 2.52
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665274827e+02 1.665320240e+02 1.0e-09 2.56
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665277901e+02 1.665318774e+02 9.0e-10 2.59
70 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.665280667e+02 1.665317452e+02 8.1e-10 2.62
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283155e+02 1.665316263e+02 7.3e-10 2.65
72 1.3e-06 8.5e-03 7.9e-05 1.00e+00 1.665285394e+02 1.665315190e+02 6.5e-10 2.68
73 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.665287408e+02 1.665314225e+02 5.9e-10 2.71
74 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.665289219e+02 1.665313355e+02 5.3e-10 2.73
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290848e+02 1.665312571e+02 4.8e-10 2.76
76 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.665292314e+02 1.665311864e+02 4.3e-10 2.79
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293632e+02 1.665311228e+02 3.9e-10 2.81
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294818e+02 1.665310654e+02 3.5e-10 2.84
79 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.665295884e+02 1.665310137e+02 3.1e-10 2.86
80 5.4e-07 8.2e-03 3.4e-05 9.99e-01 1.665296843e+02 1.665309671e+02 2.8e-10 2.89
81 4.8e-07 8.1e-03 3.0e-05 9.99e-01 1.665297705e+02 1.665309251e+02 2.5e-10 2.92
82 4.4e-07 8.1e-03 2.7e-05 1.00e+00 1.665298480e+02 1.665308872e+02 2.3e-10 2.94
83 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.665299178e+02 1.665308531e+02 2.1e-10 2.97
84 3.5e-07 8.0e-03 2.2e-05 1.00e+00 1.665299805e+02 1.665308222e+02 1.8e-10 3.00
85 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.665300369e+02 1.665307945e+02 1.7e-10 3.02
86 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.665300876e+02 1.665307695e+02 1.5e-10 3.05
87 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.665301333e+02 1.665307469e+02 1.3e-10 3.07
88 2.3e-07 7.9e-03 1.5e-05 1.00e+00 1.665301743e+02 1.665307266e+02 1.2e-10 3.10
89 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.665302112e+02 1.665307082e+02 1.1e-10 3.13
90 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.665302445e+02 1.665306917e+02 9.8e-11 3.15
91 1.7e-07 7.9e-03 1.1e-05 9.92e-01 1.665302743e+02 1.665306770e+02 8.8e-11 3.18
92 1.5e-07 7.1e-03 9.6e-06 1.00e+00 1.665303012e+02 1.665306635e+02 8.0e-11 3.21
93 1.4e-07 6.4e-03 8.6e-06 9.95e-01 1.665303254e+02 1.665306516e+02 7.2e-11 3.23
94 1.2e-07 5.7e-03 7.7e-06 1.00e+00 1.665303472e+02 1.665306407e+02 6.4e-11 3.26
95 1.1e-07 5.2e-03 7.0e-06 1.00e+00 1.665303668e+02 1.665306309e+02 5.8e-11 3.29
96 1.0e-07 4.6e-03 6.3e-06 1.00e+00 1.665303844e+02 1.665306221e+02 5.2e-11 3.31
97 9.0e-08 4.2e-03 5.6e-06 9.92e-01 1.665304003e+02 1.665306142e+02 4.7e-11 3.34
98 8.1e-08 3.8e-03 5.1e-06 9.85e-01 1.665304145e+02 1.665306072e+02 4.2e-11 3.37
99 7.3e-08 3.4e-03 4.6e-06 9.75e-01 1.665304273e+02 1.665306009e+02 3.8e-11 3.39
100 6.5e-08 3.0e-03 4.1e-06 9.95e-01 1.665304388e+02 1.665305952e+02 3.4e-11 3.42
101 5.9e-08 2.7e-03 3.7e-06 1.02e+00 1.665304502e+02 1.665305893e+02 3.1e-11 3.44
102 5.3e-08 2.5e-03 3.3e-06 1.02e+00 1.665304602e+02 1.665305842e+02 2.8e-11 3.47
103 4.8e-08 2.2e-03 3.0e-06 9.83e-01 1.665304685e+02 1.665305802e+02 2.5e-11 3.50
104 4.3e-08 2.0e-03 2.7e-06 9.97e-01 1.665304759e+02 1.665305765e+02 2.3e-11 3.52
105 3.9e-08 1.8e-03 2.4e-06 9.83e-01 1.665304826e+02 1.665305732e+02 2.1e-11 3.55
106 3.5e-08 1.6e-03 2.2e-06 1.03e+00 1.665304893e+02 1.665305697e+02 1.9e-11 3.59
107 3.1e-08 1.5e-03 2.0e-06 9.69e-01 1.665304946e+02 1.665305671e+02 1.7e-11 3.62
108 2.8e-08 1.3e-03 1.8e-06 1.00e+00 1.665304995e+02 1.665305647e+02 1.5e-11 3.65
109 2.5e-08 1.2e-03 1.6e-06 1.00e+00 1.665305038e+02 1.665305625e+02 1.4e-11 3.68
110 2.3e-08 1.1e-03 1.4e-06 1.02e+00 1.665305081e+02 1.665305603e+02 1.2e-11 3.72
111 2.1e-08 9.6e-04 1.3e-06 1.05e+00 1.665305123e+02 1.665305581e+02 1.1e-11 3.75
112 1.9e-08 8.6e-04 1.2e-06 1.01e+00 1.665305155e+02 1.665305565e+02 1.0e-11 3.78
113 1.7e-08 7.8e-04 1.0e-06 1.02e+00 1.665305185e+02 1.665305550e+02 9.4e-12 3.82
114 1.5e-08 7.0e-04 9.4e-07 1.07e+00 1.665305217e+02 1.665305533e+02 8.8e-12 3.85
115 1.4e-08 6.3e-04 8.5e-07 9.96e-01 1.665305238e+02 1.665305522e+02 7.9e-12 3.88
116 1.2e-08 5.6e-04 7.6e-07 1.08e+00 1.665305264e+02 1.665305509e+02 7.4e-12 3.91
117 1.1e-08 5.1e-04 6.9e-07 9.57e-01 1.665305280e+02 1.665305501e+02 6.7e-12 3.95
118 1.0e-08 4.6e-04 6.2e-07 1.05e+00 1.665305298e+02 1.665305492e+02 6.1e-12 3.98
119 9.4e-09 4.1e-04 5.6e-07 1.17e+00 1.665305321e+02 1.665305479e+02 6.0e-12 4.01
120 8.4e-09 3.7e-04 5.0e-07 1.16e+00 1.665305340e+02 1.665305469e+02 5.8e-12 4.04
121 7.6e-09 3.3e-04 4.5e-07 1.05e+00 1.665305351e+02 1.665305464e+02 5.4e-12 4.08
122 6.9e-09 3.0e-04 4.1e-07 9.38e-01 1.665305359e+02 1.665305461e+02 4.8e-12 4.11
123 6.2e-09 2.7e-04 3.6e-07 1.01e+00 1.665305366e+02 1.665305457e+02 4.4e-12 4.14
124 5.6e-09 2.4e-04 3.3e-07 9.34e-01 1.665305372e+02 1.665305455e+02 3.9e-12 4.17
125 5.0e-09 2.2e-04 3.0e-07 1.03e+00 1.665305378e+02 1.665305452e+02 3.6e-12 4.20
126 4.6e-09 2.0e-04 2.7e-07 1.00e+00 1.665305383e+02 1.665305449e+02 3.2e-12 4.22
127 4.3e-09 1.8e-04 2.4e-07 1.05e+00 1.665305389e+02 1.665305447e+02 3.0e-12 4.25
128 9.3e-10 1.8e-05 2.5e-08 9.97e-01 1.665305425e+02 1.665305430e+02 3.1e-13 4.27
Interior-point optimizer terminated. Time: 4.28.
Optimizer terminated. Time: 4.31
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054245e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.6653054304e+02 Viol. con: 0e+00 var: 8e-05
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.33 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 -1.286069770e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264280194e+05 3.575761927e+00 4.8e-01 0.10
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.202642630e+05 1.018055675e+01 1.9e-01 0.13
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.155864707e+05 6.348052043e+01 1.2e-01 0.17
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.129604575e+05 2.275516320e+03 1.2e-01 0.20
5 7.5e+01 9.6e+01 4.2e+03 -7.53e-01 -7.467564690e+04 9.661828129e+03 3.3e-02 0.23
6 3.3e+01 4.2e+01 1.8e+03 -1.93e-01 -4.344556214e+04 1.030574602e+04 1.4e-02 0.26
7 1.9e+01 2.5e+01 1.1e+03 3.43e-01 -2.866889522e+04 6.921959969e+03 8.5e-03 0.28
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.820598459e+04 4.395202458e+03 5.0e-03 0.31
9 4.5e+00 5.8e+00 2.5e+02 7.73e-01 -7.371168425e+03 2.103309276e+03 2.0e-03 0.33
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.214988925e+03 1.325822706e+03 9.3e-04 0.36
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.014767660e+03 8.899277697e+02 6.0e-04 0.38
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.165870149e+03 6.060222788e+02 3.6e-04 0.41
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.120497118e+02 5.060742952e+02 2.9e-04 0.44
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.191573546e+02 3.802511332e+02 1.6e-04 0.46
15 1.8e-01 2.4e-01 1.0e+01 9.93e-01 -1.346797752e+02 2.582568753e+02 8.0e-05 0.49
16 7.9e-02 1.4e-01 4.6e+00 1.01e+00 2.126798857e+01 1.996179674e+02 3.7e-05 0.51
17 6.8e-02 1.2e-01 3.9e+00 1.02e+00 4.474510765e+01 1.978720177e+02 3.2e-05 0.54
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.178045463e+02 1.806433072e+02 1.3e-05 0.57
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.531909802e+02 1.714402103e+02 3.8e-06 0.60
20 2.9e-03 2.3e-01 1.7e-01 1.00e+00 1.613912058e+02 1.680582031e+02 1.4e-06 0.63
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635874270e+02 1.674597112e+02 8.2e-07 0.66
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656228566e+02 1.668056678e+02 2.5e-07 0.69
23 1.9e-04 1.0e-01 1.2e-02 1.01e+00 1.661602582e+02 1.666050993e+02 9.7e-08 0.72
24 8.5e-05 8.7e-02 5.4e-03 1.01e+00 1.663313713e+02 1.665357284e+02 4.5e-08 0.74
25 3.9e-05 7.9e-02 2.5e-03 1.01e+00 1.664099187e+02 1.665032834e+02 2.1e-08 0.78
26 3.5e-05 7.2e-02 2.2e-03 1.01e+00 1.664180563e+02 1.665021089e+02 1.9e-08 0.81
27 3.1e-05 6.6e-02 2.0e-03 1.01e+00 1.664237675e+02 1.664993860e+02 1.7e-08 0.84
28 2.8e-05 6.0e-02 1.8e-03 1.01e+00 1.664290360e+02 1.664970781e+02 1.5e-08 0.87
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664337498e+02 1.664949749e+02 1.4e-08 0.90
30 2.3e-05 5.0e-02 1.5e-03 1.01e+00 1.664379869e+02 1.664930793e+02 1.2e-08 0.94
31 2.1e-05 4.6e-02 1.3e-03 1.00e+00 1.664417927e+02 1.664913674e+02 1.1e-08 0.97
32 1.8e-05 4.2e-02 1.2e-03 1.00e+00 1.664452120e+02 1.664898225e+02 1.0e-08 1.00
33 1.7e-05 3.9e-02 1.1e-03 1.00e+00 1.664482844e+02 1.664884282e+02 9.0e-09 1.03
34 1.5e-05 3.6e-02 9.6e-04 1.00e+00 1.664510453e+02 1.664871704e+02 8.1e-09 1.06
35 1.3e-05 3.3e-02 8.6e-04 1.00e+00 1.664535267e+02 1.664860356e+02 7.3e-09 1.09
36 1.2e-05 3.0e-02 7.8e-04 1.00e+00 1.664557570e+02 1.664850121e+02 6.5e-09 1.12
37 1.1e-05 2.8e-02 7.0e-04 1.00e+00 1.664577619e+02 1.664840891e+02 5.9e-09 1.15
38 9.8e-06 2.6e-02 6.3e-04 1.00e+00 1.664595643e+02 1.664832570e+02 5.3e-09 1.18
39 8.8e-06 2.4e-02 5.7e-04 1.00e+00 1.664611849e+02 1.664825068e+02 4.8e-09 1.21
40 8.0e-06 2.3e-02 5.1e-04 1.00e+00 1.664626421e+02 1.664818306e+02 4.3e-09 1.24
41 7.2e-06 2.1e-02 4.6e-04 1.00e+00 1.664639526e+02 1.664812212e+02 3.9e-09 1.27
42 6.4e-06 2.0e-02 4.1e-04 1.00e+00 1.664651311e+02 1.664806721e+02 3.5e-09 1.30
43 5.8e-06 1.9e-02 3.7e-04 1.00e+00 1.664661911e+02 1.664801774e+02 3.1e-09 1.33
44 5.2e-06 1.7e-02 3.3e-04 1.00e+00 1.664671445e+02 1.664797317e+02 2.8e-09 1.36
45 4.7e-06 1.6e-02 3.0e-04 1.00e+00 1.664680021e+02 1.664793302e+02 2.5e-09 1.40
46 4.2e-06 1.6e-02 2.7e-04 1.00e+00 1.664687736e+02 1.664789686e+02 2.3e-09 1.42
47 3.8e-06 1.5e-02 2.4e-04 1.00e+00 1.664694676e+02 1.664786428e+02 2.1e-09 1.47
48 3.4e-06 1.4e-02 2.2e-04 1.00e+00 1.664700919e+02 1.664783494e+02 1.8e-09 1.50
49 3.1e-06 1.3e-02 2.0e-04 1.00e+00 1.664706535e+02 1.664780851e+02 1.7e-09 1.53
50 2.8e-06 1.3e-02 1.8e-04 1.00e+00 1.664711587e+02 1.664778470e+02 1.5e-09 1.56
51 2.5e-06 1.2e-02 1.6e-04 1.00e+00 1.664716132e+02 1.664776327e+02 1.3e-09 1.59
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664720222e+02 1.664774397e+02 1.2e-09 1.62
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664723903e+02 1.664772660e+02 1.1e-09 1.65
54 1.8e-06 1.1e-02 1.2e-04 1.00e+00 1.664727215e+02 1.664771096e+02 9.8e-10 1.68
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664730195e+02 1.664769688e+02 8.8e-10 1.71
56 1.5e-06 1.0e-02 9.4e-05 1.00e+00 1.664732878e+02 1.664768421e+02 8.0e-10 1.74
57 1.3e-06 1.0e-02 8.5e-05 1.00e+00 1.664735291e+02 1.664767281e+02 7.2e-10 1.77
58 1.2e-06 9.9e-03 7.6e-05 1.00e+00 1.664737463e+02 1.664766254e+02 6.5e-10 1.80
59 1.1e-06 9.6e-03 6.9e-05 1.00e+00 1.664739418e+02 1.664765330e+02 5.8e-10 1.83
60 9.7e-07 9.4e-03 6.2e-05 1.00e+00 1.664741177e+02 1.664764498e+02 5.2e-10 1.86
61 8.7e-07 9.2e-03 5.6e-05 1.00e+00 1.664742760e+02 1.664763749e+02 4.7e-10 1.89
62 7.8e-07 9.1e-03 5.0e-05 1.00e+00 1.664744185e+02 1.664763074e+02 4.2e-10 1.92
63 7.1e-07 8.9e-03 4.5e-05 1.00e+00 1.664745467e+02 1.664762467e+02 3.8e-10 1.95
64 6.3e-07 8.8e-03 4.1e-05 1.00e+00 1.664746620e+02 1.664761920e+02 3.4e-10 1.98
65 5.7e-07 8.7e-03 3.7e-05 1.00e+00 1.664747657e+02 1.664761427e+02 3.1e-10 2.01
66 5.1e-07 8.6e-03 3.3e-05 1.00e+00 1.664748591e+02 1.664760984e+02 2.8e-10 2.04
67 4.6e-07 8.5e-03 3.0e-05 1.00e+00 1.664749430e+02 1.664760583e+02 2.5e-10 2.08
68 4.2e-07 8.4e-03 2.7e-05 1.00e+00 1.664750186e+02 1.664760223e+02 2.2e-10 2.11
69 3.7e-07 8.3e-03 2.4e-05 1.00e+00 1.664750865e+02 1.664759899e+02 2.0e-10 2.14
70 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664751476e+02 1.664759606e+02 1.8e-10 2.18
71 3.0e-07 8.2e-03 1.9e-05 1.00e+00 1.664752026e+02 1.664759342e+02 1.6e-10 2.21
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752521e+02 1.664759105e+02 1.5e-10 2.24
73 2.5e-07 8.1e-03 1.6e-05 9.99e-01 1.664752966e+02 1.664758892e+02 1.3e-10 2.27
74 2.2e-07 8.0e-03 1.4e-05 9.99e-01 1.664753366e+02 1.664758700e+02 1.2e-10 2.30
75 2.0e-07 8.0e-03 1.3e-05 9.99e-01 1.664753726e+02 1.664758527e+02 1.1e-10 2.33
76 1.8e-07 7.9e-03 1.1e-05 9.97e-01 1.664754050e+02 1.664758371e+02 9.7e-11 2.36
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754342e+02 1.664758231e+02 8.7e-11 2.39
78 1.5e-07 7.8e-03 9.3e-06 9.98e-01 1.664754604e+02 1.664758104e+02 7.8e-11 2.42
79 1.3e-07 7.1e-03 8.4e-06 1.01e+00 1.664754844e+02 1.664757988e+02 7.1e-11 2.45
80 1.2e-07 6.3e-03 7.5e-06 9.99e-01 1.664755056e+02 1.664757886e+02 6.4e-11 2.48
81 1.1e-07 5.7e-03 6.8e-06 1.00e+00 1.664755249e+02 1.664757793e+02 5.7e-11 2.51
82 9.5e-08 5.1e-03 6.1e-06 1.00e+00 1.664755420e+02 1.664757710e+02 5.2e-11 2.54
83 8.6e-08 4.6e-03 5.5e-06 1.00e+00 1.664755575e+02 1.664757635e+02 4.6e-11 2.57
84 7.7e-08 4.2e-03 4.9e-06 1.00e+00 1.664755714e+02 1.664757568e+02 4.2e-11 2.60
85 6.9e-08 3.7e-03 4.4e-06 1.00e+00 1.664755840e+02 1.664757507e+02 3.8e-11 2.63
86 6.2e-08 3.4e-03 4.0e-06 9.96e-01 1.664755952e+02 1.664757453e+02 3.4e-11 2.66
87 5.6e-08 3.0e-03 3.6e-06 1.00e+00 1.664756053e+02 1.664757404e+02 3.1e-11 2.69
88 5.1e-08 2.7e-03 3.2e-06 9.89e-01 1.664756144e+02 1.664757361e+02 2.7e-11 2.72
89 4.6e-08 2.5e-03 2.9e-06 1.00e+00 1.664756227e+02 1.664757321e+02 2.5e-11 2.75
90 4.1e-08 2.2e-03 2.6e-06 1.00e+00 1.664756301e+02 1.664757285e+02 2.2e-11 2.78
91 3.7e-08 2.0e-03 2.4e-06 1.00e+00 1.664756368e+02 1.664757253e+02 2.0e-11 2.81
92 3.3e-08 1.8e-03 2.1e-06 9.98e-01 1.664756427e+02 1.664757224e+02 1.8e-11 2.84
93 3.0e-08 1.6e-03 1.9e-06 1.01e+00 1.664756483e+02 1.664757197e+02 1.6e-11 2.87
94 2.7e-08 1.5e-03 1.7e-06 1.00e+00 1.664756532e+02 1.664757173e+02 1.5e-11 2.90
95 2.4e-08 1.3e-03 1.6e-06 1.01e+00 1.664756577e+02 1.664757151e+02 1.3e-11 2.94
96 2.2e-08 1.2e-03 1.4e-06 9.98e-01 1.664756616e+02 1.664757132e+02 1.2e-11 2.97
97 2.0e-08 1.1e-03 1.3e-06 9.95e-01 1.664756651e+02 1.664757116e+02 1.1e-11 3.00
98 1.8e-08 9.5e-04 1.1e-06 1.01e+00 1.664756683e+02 1.664757100e+02 9.7e-12 3.03
99 1.6e-08 8.6e-04 1.0e-06 9.82e-01 1.664756711e+02 1.664757087e+02 8.7e-12 3.06
100 1.4e-08 7.7e-04 9.2e-07 1.04e+00 1.664756740e+02 1.664757072e+02 8.0e-12 3.10
101 1.3e-08 6.9e-04 8.2e-07 1.00e+00 1.664756763e+02 1.664757061e+02 7.2e-12 3.13
102 1.2e-08 6.2e-04 7.4e-07 1.00e+00 1.664756783e+02 1.664757052e+02 6.5e-12 3.16
103 1.0e-08 5.6e-04 6.7e-07 9.89e-01 1.664756801e+02 1.664757043e+02 5.8e-12 3.19
104 9.4e-09 5.1e-04 6.0e-07 1.07e+00 1.664756823e+02 1.664757032e+02 5.4e-12 3.22
105 3.1e-09 5.2e-05 6.2e-08 9.81e-01 1.664756950e+02 1.664756972e+02 6.0e-13 3.25
Interior-point optimizer terminated. Time: 3.26.
Optimizer terminated. Time: 3.30
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569503e+02 Viol. con: 8e-08 var: 0e+00
Dual. obj: 1.6647569719e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.33 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285358118e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263542085e+05 3.574445502e+00 4.8e-01 0.12
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201588480e+05 1.021567175e+01 1.9e-01 0.15
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154718919e+05 6.399966801e+01 1.2e-01 0.18
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.128613766e+05 2.263785738e+03 1.2e-01 0.21
5 7.5e+01 9.7e+01 4.2e+03 -7.52e-01 -7.480741988e+04 9.600134129e+03 3.3e-02 0.24
6 3.0e+01 3.9e+01 1.7e+03 -1.96e-01 -4.068261011e+04 1.026881480e+04 1.3e-02 0.28
7 1.8e+01 2.3e+01 1.0e+03 3.91e-01 -2.712656433e+04 6.680856309e+03 7.9e-03 0.31
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.569362095e+04 3.889215654e+03 4.3e-03 0.34
9 3.9e+00 5.0e+00 2.2e+02 8.12e-01 -6.429970051e+03 1.893873907e+03 1.7e-03 0.37
10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.286677030e+03 1.204165277e+03 9.2e-04 0.40
11 1.0e+00 1.3e+00 5.9e+01 9.80e-01 -1.544943527e+03 7.355124061e+02 4.7e-04 0.43
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.184098749e+03 6.013200186e+02 3.6e-04 0.46
13 4.8e-01 6.2e-01 2.7e+01 9.74e-01 -6.380907856e+02 4.207581779e+02 2.1e-04 0.49
14 2.6e-01 3.6e-01 1.5e+01 1.00e+00 -2.718702873e+02 3.084892578e+02 1.2e-04 0.53
15 9.7e-02 1.5e-01 5.5e+00 1.00e+00 -1.010307935e+01 2.072404588e+02 4.5e-05 0.56
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.582569760e+01 2.085964044e+02 4.0e-05 0.59
17 5.3e-02 8.8e-02 3.1e+00 1.02e+00 7.253889598e+01 1.918849826e+02 2.5e-05 0.62
18 2.3e-02 6.9e-02 1.3e+00 1.02e+00 1.266753244e+02 1.778041753e+02 1.1e-05 0.65
19 6.2e-03 2.3e-01 3.7e-01 1.01e+00 1.562548971e+02 1.702791836e+02 2.9e-06 0.68
20 3.1e-03 3.1e-01 1.8e-01 1.00e+00 1.610362591e+02 1.681100500e+02 1.5e-06 0.71
21 1.6e-03 1.7e-01 9.8e-02 1.01e+00 1.636144421e+02 1.673813864e+02 8.0e-07 0.75
22 4.9e-04 1.4e-01 3.0e-02 1.01e+00 1.656242715e+02 1.667725335e+02 2.5e-07 0.78
23 3.1e-04 1.1e-01 1.9e-02 9.98e-01 1.659258633e+02 1.666521409e+02 1.6e-07 0.81
24 1.9e-04 7.7e-02 1.2e-02 9.85e-01 1.661267253e+02 1.665737792e+02 9.7e-08 0.84
25 1.7e-04 6.6e-02 1.0e-02 9.99e-01 1.661696452e+02 1.665612800e+02 8.5e-08 0.87
26 1.5e-04 6.0e-02 9.3e-03 1.01e+00 1.661982631e+02 1.665504925e+02 7.7e-08 0.90
27 1.3e-04 5.5e-02 8.4e-03 1.01e+00 1.662230812e+02 1.665399601e+02 6.9e-08 0.93
28 1.2e-04 5.0e-02 7.5e-03 1.01e+00 1.662455574e+02 1.665306804e+02 6.2e-08 0.97
29 1.1e-04 4.6e-02 6.8e-03 1.01e+00 1.662656938e+02 1.665222485e+02 5.6e-08 1.00
30 9.8e-05 4.2e-02 6.1e-03 1.01e+00 1.662837678e+02 1.665146216e+02 5.0e-08 1.03
31 8.8e-05 3.8e-02 5.5e-03 1.01e+00 1.662999862e+02 1.665077179e+02 4.5e-08 1.06
32 7.9e-05 3.5e-02 4.9e-03 1.01e+00 1.663145414e+02 1.665014702e+02 4.1e-08 1.09
33 7.1e-05 3.3e-02 4.4e-03 1.00e+00 1.663276045e+02 1.664958165e+02 3.7e-08 1.12
34 6.4e-05 3.0e-02 4.0e-03 1.00e+00 1.663393293e+02 1.664907009e+02 3.3e-08 1.15
35 5.8e-05 2.8e-02 3.6e-03 1.00e+00 1.663498540e+02 1.664860730e+02 3.0e-08 1.18
36 5.2e-05 2.6e-02 3.2e-03 1.00e+00 1.663593022e+02 1.664818870e+02 2.7e-08 1.21
37 4.7e-05 2.4e-02 2.9e-03 1.00e+00 1.663677851e+02 1.664781017e+02 2.4e-08 1.24
38 4.2e-05 2.2e-02 2.6e-03 1.00e+00 1.663754020e+02 1.664746793e+02 2.2e-08 1.27
39 3.8e-05 2.1e-02 2.4e-03 1.00e+00 1.663822422e+02 1.664715856e+02 2.0e-08 1.30
40 3.4e-05 1.9e-02 2.1e-03 1.00e+00 1.663883853e+02 1.664687896e+02 1.8e-08 1.33
41 3.1e-05 1.8e-02 1.9e-03 1.00e+00 1.663939030e+02 1.664662631e+02 1.6e-08 1.36
42 2.8e-05 1.7e-02 1.7e-03 1.00e+00 1.663988592e+02 1.664639804e+02 1.4e-08 1.39
43 2.5e-05 1.6e-02 1.6e-03 1.00e+00 1.664033115e+02 1.664619183e+02 1.3e-08 1.42
44 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664073114e+02 1.664600558e+02 1.2e-08 1.45
45 2.0e-05 1.5e-02 1.3e-03 1.00e+00 1.664109051e+02 1.664583736e+02 1.0e-08 1.48
46 1.8e-05 1.4e-02 1.1e-03 1.00e+00 1.664141340e+02 1.664568547e+02 9.4e-09 1.51
47 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664170353e+02 1.664554832e+02 8.4e-09 1.54
48 1.5e-05 1.3e-02 9.2e-04 1.00e+00 1.664196425e+02 1.664542450e+02 7.6e-09 1.56
49 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664219856e+02 1.664531274e+02 6.8e-09 1.59
50 1.2e-05 1.2e-02 7.4e-04 1.00e+00 1.664240913e+02 1.664521187e+02 6.2e-09 1.61
51 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.664259840e+02 1.664512084e+02 5.5e-09 1.64
52 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664276852e+02 1.664503871e+02 5.0e-09 1.66
53 8.6e-06 1.1e-02 5.4e-04 1.00e+00 1.664292145e+02 1.664496461e+02 4.5e-09 1.69
54 7.8e-06 1.0e-02 4.9e-04 1.00e+00 1.664305893e+02 1.664489777e+02 4.0e-09 1.71
55 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318252e+02 1.664483749e+02 3.6e-09 1.74
56 6.3e-06 9.9e-03 3.9e-04 1.00e+00 1.664329365e+02 1.664478312e+02 3.3e-09 1.77
57 5.7e-06 9.7e-03 3.5e-04 1.00e+00 1.664339357e+02 1.664473410e+02 2.9e-09 1.80
58 5.1e-06 9.6e-03 3.2e-04 1.00e+00 1.664348341e+02 1.664468989e+02 2.7e-09 1.83
59 4.6e-06 9.4e-03 2.9e-04 1.00e+00 1.664356420e+02 1.664465004e+02 2.4e-09 1.86
60 4.1e-06 9.2e-03 2.6e-04 1.00e+00 1.664363684e+02 1.664461411e+02 2.1e-09 1.89
61 3.7e-06 9.1e-03 2.3e-04 1.00e+00 1.664370216e+02 1.664458171e+02 1.9e-09 1.92
62 3.3e-06 9.0e-03 2.1e-04 1.00e+00 1.664376090e+02 1.664455250e+02 1.7e-09 1.95
63 3.0e-06 8.9e-03 1.9e-04 1.00e+00 1.664381372e+02 1.664452617e+02 1.6e-09 1.98
64 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386123e+02 1.664450244e+02 1.4e-09 2.01
65 2.4e-06 8.7e-03 1.5e-04 1.00e+00 1.664390396e+02 1.664448105e+02 1.3e-09 2.04
66 2.2e-06 8.6e-03 1.4e-04 1.00e+00 1.664394239e+02 1.664446178e+02 1.1e-09 2.07
67 2.0e-06 8.5e-03 1.2e-04 1.00e+00 1.664397696e+02 1.664444442e+02 1.0e-09 2.10
68 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400807e+02 1.664442878e+02 9.3e-10 2.13
69 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403605e+02 1.664441470e+02 8.3e-10 2.15
70 1.4e-06 8.3e-03 9.0e-05 1.00e+00 1.664406122e+02 1.664440201e+02 7.5e-10 2.18
71 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408387e+02 1.664439059e+02 6.7e-10 2.21
72 1.2e-06 8.2e-03 7.3e-05 1.00e+00 1.664410425e+02 1.664438029e+02 6.1e-10 2.24
73 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412258e+02 1.664437103e+02 5.5e-10 2.27
74 9.5e-07 8.1e-03 5.9e-05 1.00e+00 1.664413907e+02 1.664436267e+02 4.9e-10 2.30
75 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415391e+02 1.664435515e+02 4.4e-10 2.33
76 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416726e+02 1.664434838e+02 4.0e-10 2.36
77 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417926e+02 1.664434228e+02 3.6e-10 2.39
78 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419007e+02 1.664433678e+02 3.2e-10 2.42
79 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664419978e+02 1.664433183e+02 2.9e-10 2.45
80 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420853e+02 1.664432736e+02 2.6e-10 2.48
81 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421639e+02 1.664432334e+02 2.4e-10 2.50
82 4.1e-07 7.8e-03 2.5e-05 1.00e+00 1.664422347e+02 1.664431972e+02 2.1e-10 2.53
83 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422983e+02 1.664431646e+02 1.9e-10 2.56
84 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423556e+02 1.664431353e+02 1.7e-10 2.60
85 3.0e-07 7.7e-03 1.9e-05 9.99e-01 1.664424071e+02 1.664431089e+02 1.5e-10 2.63
86 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424535e+02 1.664430851e+02 1.4e-10 2.66
87 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424952e+02 1.664430636e+02 1.3e-10 2.69
88 2.2e-07 7.7e-03 1.4e-05 9.99e-01 1.664425328e+02 1.664430444e+02 1.1e-10 2.72
89 1.9e-07 7.6e-03 1.2e-05 9.98e-01 1.664425665e+02 1.664430270e+02 1.0e-10 2.75
90 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425970e+02 1.664430114e+02 9.1e-11 2.78
91 1.6e-07 7.6e-03 9.9e-06 9.97e-01 1.664426243e+02 1.664429974e+02 8.2e-11 2.81
92 1.4e-07 7.6e-03 8.9e-06 1.00e+00 1.664426490e+02 1.664429847e+02 7.4e-11 2.85
93 1.3e-07 7.6e-03 8.0e-06 9.97e-01 1.664426712e+02 1.664429733e+02 6.6e-11 2.88
94 1.2e-07 7.6e-03 7.2e-06 1.00e+00 1.664426911e+02 1.664429631e+02 6.0e-11 2.91
95 1.0e-07 7.6e-03 6.5e-06 1.00e+00 1.664427091e+02 1.664429538e+02 5.4e-11 2.93
96 9.3e-08 7.5e-03 5.8e-06 1.00e+00 1.664427253e+02 1.664429455e+02 4.8e-11 2.97
97 8.4e-08 7.5e-03 5.2e-06 9.98e-01 1.664427398e+02 1.664429381e+02 4.4e-11 3.00
98 7.5e-08 6.8e-03 4.7e-06 1.00e+00 1.664427530e+02 1.664429313e+02 3.9e-11 3.03
99 6.8e-08 6.1e-03 4.3e-06 9.95e-01 1.664427648e+02 1.664429253e+02 3.5e-11 3.06
100 6.1e-08 5.5e-03 3.8e-06 1.00e+00 1.664427754e+02 1.664429198e+02 3.2e-11 3.09
101 5.5e-08 4.9e-03 3.4e-06 1.00e+00 1.664427850e+02 1.664429149e+02 2.9e-11 3.12
102 4.9e-08 4.4e-03 3.1e-06 1.00e+00 1.664427935e+02 1.664429105e+02 2.6e-11 3.15
103 4.5e-08 4.0e-03 2.8e-06 1.01e+00 1.664428014e+02 1.664429064e+02 2.3e-11 3.17
104 4.0e-08 3.6e-03 2.5e-06 1.03e+00 1.664428091e+02 1.664429024e+02 2.1e-11 3.20
105 3.6e-08 3.2e-03 2.3e-06 1.00e+00 1.664428153e+02 1.664428992e+02 1.9e-11 3.23
106 3.2e-08 2.9e-03 2.0e-06 1.01e+00 1.664428209e+02 1.664428963e+02 1.7e-11 3.26
107 2.9e-08 2.6e-03 1.8e-06 1.02e+00 1.664428263e+02 1.664428936e+02 1.6e-11 3.30
108 2.6e-08 2.4e-03 1.6e-06 1.03e+00 1.664428313e+02 1.664428909e+02 1.4e-11 3.33
109 2.4e-08 2.1e-03 1.5e-06 1.01e+00 1.664428354e+02 1.664428888e+02 1.3e-11 3.36
110 2.1e-08 1.9e-03 1.3e-06 9.35e-01 1.664428389e+02 1.664428871e+02 1.2e-11 3.39
111 1.9e-08 1.7e-03 1.2e-06 1.06e+00 1.664428430e+02 1.664428848e+02 1.1e-11 3.41
112 1.7e-08 1.5e-03 1.1e-06 1.00e+00 1.664428458e+02 1.664428834e+02 9.6e-12 3.44
113 1.6e-08 1.4e-03 9.7e-07 9.65e-01 1.664428483e+02 1.664428822e+02 8.7e-12 3.46
114 1.4e-08 1.3e-03 8.8e-07 1.07e+00 1.664428513e+02 1.664428805e+02 8.1e-12 3.49
115 1.3e-08 1.1e-03 7.9e-07 1.07e+00 1.664428539e+02 1.664428792e+02 7.5e-12 3.52
116 1.2e-08 1.0e-03 7.1e-07 9.38e-01 1.664428556e+02 1.664428783e+02 6.8e-12 3.55
117 1.1e-08 9.1e-04 6.4e-07 9.95e-01 1.664428571e+02 1.664428776e+02 6.1e-12 3.58
118 1.0e-08 8.2e-04 5.7e-07 9.86e-01 1.664428585e+02 1.664428769e+02 5.5e-12 3.60
119 8.8e-09 7.4e-04 5.2e-07 1.08e+00 1.664428602e+02 1.664428760e+02 5.1e-12 3.63
120 8.1e-09 6.7e-04 4.7e-07 1.00e+00 1.664428612e+02 1.664428755e+02 4.6e-12 3.66
121 7.2e-09 6.0e-04 4.2e-07 9.77e-01 1.664428622e+02 1.664428751e+02 4.2e-12 3.69
122 6.6e-09 5.4e-04 3.8e-07 8.74e-01 1.664428631e+02 1.664428747e+02 3.8e-12 3.73
123 6.0e-09 4.9e-04 3.4e-07 6.93e-01 1.664428638e+02 1.664428743e+02 3.4e-12 3.77
124 5.4e-09 4.4e-04 3.1e-07 5.92e-01 1.664428645e+02 1.664428741e+02 3.0e-12 3.80
125 5.4e-09 3.9e-04 2.7e-07 7.35e-01 1.664428651e+02 1.664428739e+02 2.7e-12 3.83
126 4.9e-09 3.5e-04 2.5e-07 5.38e-01 1.664428656e+02 1.664428736e+02 2.5e-12 3.86
127 5.0e-09 3.2e-04 2.2e-07 6.13e-01 1.664428661e+02 1.664428735e+02 2.2e-12 3.90
128 5.0e-09 2.9e-04 2.0e-07 1.17e+00 1.664428670e+02 1.664428729e+02 2.2e-12 3.93
129 4.8e-09 2.6e-04 1.8e-07 1.10e+00 1.664428675e+02 1.664428726e+02 2.1e-12 3.96
130 4.6e-09 2.3e-04 1.6e-07 5.97e-01 1.664428679e+02 1.664428723e+02 1.8e-12 3.99
131 3.6e-09 2.1e-04 1.5e-07 5.86e-01 1.664428681e+02 1.664428723e+02 1.7e-12 4.02
132 4.0e-09 1.9e-04 1.3e-07 9.66e-01 1.664428684e+02 1.664428721e+02 1.5e-12 4.05
133 3.9e-09 1.9e-04 1.3e-07 1.18e+00 1.664428684e+02 1.664428721e+02 1.5e-12 4.08
134 3.9e-09 1.7e-04 1.2e-07 9.41e-01 1.664428687e+02 1.664428720e+02 1.3e-12 4.11
135 3.5e-09 1.5e-04 1.1e-07 6.96e-01 1.664428689e+02 1.664428719e+02 1.2e-12 4.14
136 2.9e-09 1.4e-04 9.5e-08 5.36e-01 1.664428691e+02 1.664428718e+02 1.1e-12 4.17
137 2.1e-09 1.2e-04 8.6e-08 4.39e-01 1.664428692e+02 1.664428718e+02 9.8e-13 4.20
Interior-point optimizer terminated. Time: 4.20.
Optimizer terminated. Time: 4.24
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286923e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.6644287176e+02 Viol. con: 0e+00 var: 7e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.26 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285340957e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263517278e+05 3.573621145e+00 4.8e-01 0.66
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201360076e+05 1.023272787e+01 1.8e-01 0.69
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154380575e+05 6.426642759e+01 1.2e-01 0.72
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.128348621e+05 2.258318452e+03 1.2e-01 0.75
5 7.5e+01 9.6e+01 4.1e+03 -7.52e-01 -7.471876829e+04 9.598263129e+03 3.3e-02 0.78
6 3.0e+01 3.9e+01 1.7e+03 -1.95e-01 -4.050835658e+04 1.020869390e+04 1.3e-02 0.81
7 1.8e+01 2.3e+01 1.0e+03 3.94e-01 -2.711078965e+04 6.648791847e+03 7.9e-03 0.84
8 9.5e+00 1.2e+01 5.3e+02 6.30e-01 -1.542140137e+04 3.834874195e+03 4.2e-03 0.87
9 3.6e+00 4.7e+00 2.0e+02 8.16e-01 -5.933705705e+03 1.798170986e+03 1.6e-03 0.90
10 2.0e+00 2.6e+00 1.1e+02 9.47e-01 -3.130699086e+03 1.194463061e+03 8.9e-04 0.93
11 8.4e-01 1.1e+00 4.7e+01 9.81e-01 -1.229432645e+03 6.158757416e+02 3.8e-04 0.96
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.213196167e+03 5.912530212e+02 3.7e-04 0.99
13 5.1e-01 6.6e-01 2.9e+01 9.72e-01 -7.067505980e+02 4.266799574e+02 2.3e-04 1.02
14 3.1e-01 4.2e-01 1.8e+01 1.00e+00 -3.527373779e+02 3.410991259e+02 1.4e-04 1.05
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.763057110e+01 2.143696514e+02 5.0e-05 1.09
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.135861143e+01 2.045406240e+02 3.8e-05 1.12
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.501590296e+01 1.868882457e+02 1.9e-05 1.15
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425023480e+02 1.741742958e+02 6.6e-06 1.18
19 6.2e-03 7.2e-02 3.6e-01 1.01e+00 1.557130016e+02 1.695763960e+02 2.9e-06 1.21
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638759275e+02 1.673863004e+02 7.4e-07 1.24
21 8.0e-04 1.1e-01 4.9e-02 9.78e-01 1.650621871e+02 1.669373094e+02 4.0e-07 1.26
22 2.4e-04 1.1e-01 1.6e-02 9.90e-01 1.660031574e+02 1.665978367e+02 1.3e-07 1.29
23 1.1e-04 8.9e-02 7.5e-03 1.01e+00 1.662212912e+02 1.665057548e+02 6.3e-08 1.32
24 4.7e-05 8.5e-02 3.1e-03 1.01e+00 1.663394237e+02 1.664571338e+02 2.6e-08 1.35
25 2.2e-05 7.7e-02 1.5e-03 1.01e+00 1.663835793e+02 1.664385510e+02 1.2e-08 1.39
26 2.0e-05 7.1e-02 1.3e-03 1.00e+00 1.663881976e+02 1.664377013e+02 1.1e-08 1.42
27 1.8e-05 6.4e-02 1.2e-03 1.01e+00 1.663915601e+02 1.664361004e+02 1.0e-08 1.45
28 1.6e-05 5.9e-02 1.1e-03 1.00e+00 1.663946475e+02 1.664347270e+02 9.0e-09 1.48
29 1.4e-05 5.4e-02 9.6e-04 1.00e+00 1.663974104e+02 1.664334758e+02 8.1e-09 1.51
30 1.3e-05 4.9e-02 8.6e-04 1.00e+00 1.663998950e+02 1.664323489e+02 7.3e-09 1.54
31 1.2e-05 4.5e-02 7.7e-04 1.00e+00 1.664021275e+02 1.664313319e+02 6.5e-09 1.57
32 1.0e-05 4.1e-02 7.0e-04 1.00e+00 1.664041339e+02 1.664304145e+02 5.9e-09 1.60
33 9.4e-06 3.8e-02 6.3e-04 1.00e+00 1.664059373e+02 1.664295872e+02 5.3e-09 1.63
34 8.5e-06 3.5e-02 5.6e-04 1.00e+00 1.664075583e+02 1.664288410e+02 4.8e-09 1.66
35 7.7e-06 3.2e-02 5.1e-04 1.00e+00 1.664090155e+02 1.664281681e+02 4.3e-09 1.69
36 6.9e-06 3.0e-02 4.6e-04 1.00e+00 1.664103255e+02 1.664275614e+02 3.9e-09 1.73
37 6.2e-06 2.8e-02 4.1e-04 1.00e+00 1.664115033e+02 1.664270145e+02 3.5e-09 1.76
38 5.6e-06 2.6e-02 3.7e-04 1.00e+00 1.664125622e+02 1.664265214e+02 3.1e-09 1.78
39 5.0e-06 2.4e-02 3.3e-04 1.00e+00 1.664135145e+02 1.664260770e+02 2.8e-09 1.81
40 4.5e-06 2.2e-02 3.0e-04 1.00e+00 1.664143707e+02 1.664256764e+02 2.5e-09 1.84
41 4.1e-06 2.1e-02 2.7e-04 1.00e+00 1.664151407e+02 1.664253153e+02 2.3e-09 1.87
42 3.7e-06 2.0e-02 2.4e-04 1.00e+00 1.664158331e+02 1.664249899e+02 2.1e-09 1.90
43 3.3e-06 1.8e-02 2.2e-04 1.00e+00 1.664164558e+02 1.664246966e+02 1.8e-09 1.92
44 3.0e-06 1.7e-02 2.0e-04 1.00e+00 1.664170157e+02 1.664244322e+02 1.7e-09 1.96
45 2.7e-06 1.6e-02 1.8e-04 1.00e+00 1.664175193e+02 1.664241940e+02 1.5e-09 1.99
46 2.4e-06 1.5e-02 1.6e-04 1.00e+00 1.664179723e+02 1.664239794e+02 1.3e-09 2.02
47 2.2e-06 1.5e-02 1.4e-04 1.00e+00 1.664183798e+02 1.664237860e+02 1.2e-09 2.04
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664187464e+02 1.664236119e+02 1.1e-09 2.07
49 1.8e-06 1.3e-02 1.2e-04 1.00e+00 1.664190761e+02 1.664234551e+02 9.8e-10 2.12
50 1.6e-06 1.3e-02 1.0e-04 1.00e+00 1.664193728e+02 1.664233138e+02 8.8e-10 2.14
51 1.4e-06 1.2e-02 9.4e-05 1.00e+00 1.664196397e+02 1.664231867e+02 8.0e-10 2.18
52 1.3e-06 1.2e-02 8.5e-05 1.00e+00 1.664198799e+02 1.664230721e+02 7.2e-10 2.21
53 1.1e-06 1.1e-02 7.6e-05 1.00e+00 1.664200960e+02 1.664229688e+02 6.4e-10 2.24
54 1.0e-06 1.1e-02 6.9e-05 1.00e+00 1.664202904e+02 1.664228759e+02 5.8e-10 2.27
55 9.3e-07 1.1e-02 6.2e-05 1.00e+00 1.664204653e+02 1.664227922e+02 5.2e-10 2.30
56 8.4e-07 1.0e-02 5.6e-05 1.00e+00 1.664206226e+02 1.664227168e+02 4.7e-10 2.33
57 7.5e-07 1.0e-02 5.0e-05 1.00e+00 1.664207642e+02 1.664226490e+02 4.2e-10 2.37
58 6.8e-07 9.9e-03 4.5e-05 1.00e+00 1.664208915e+02 1.664225879e+02 3.8e-10 2.40
59 6.1e-07 9.7e-03 4.1e-05 1.00e+00 1.664210061e+02 1.664225328e+02 3.4e-10 2.45
60 5.5e-07 9.5e-03 3.6e-05 1.00e+00 1.664211092e+02 1.664224832e+02 3.1e-10 2.48
61 4.9e-07 9.3e-03 3.3e-05 1.00e+00 1.664212019e+02 1.664224385e+02 2.8e-10 2.51
62 4.4e-07 9.1e-03 3.0e-05 1.00e+00 1.664212853e+02 1.664223982e+02 2.5e-10 2.55
63 4.0e-07 9.0e-03 2.7e-05 1.00e+00 1.664213603e+02 1.664223619e+02 2.2e-10 2.58
64 3.6e-07 8.8e-03 2.4e-05 9.97e-01 1.664214278e+02 1.664223294e+02 2.0e-10 2.62
65 3.2e-07 8.7e-03 2.2e-05 1.00e+00 1.664214885e+02 1.664222999e+02 1.8e-10 2.66
66 2.9e-07 8.6e-03 1.9e-05 1.00e+00 1.664215431e+02 1.664222734e+02 1.6e-10 2.69
67 2.6e-07 8.5e-03 1.7e-05 1.00e+00 1.664215923e+02 1.664222495e+02 1.5e-10 2.73
68 2.4e-07 8.4e-03 1.6e-05 1.00e+00 1.664216365e+02 1.664222280e+02 1.3e-10 2.76
69 2.1e-07 8.3e-03 1.4e-05 9.98e-01 1.664216763e+02 1.664222087e+02 1.2e-10 2.79
70 1.9e-07 8.3e-03 1.3e-05 9.97e-01 1.664217120e+02 1.664221913e+02 1.1e-10 2.82
71 1.7e-07 8.2e-03 1.1e-05 9.98e-01 1.664217443e+02 1.664221756e+02 9.7e-11 2.86
72 1.6e-07 8.2e-03 1.0e-05 1.01e+00 1.664217738e+02 1.664221611e+02 8.7e-11 2.89
73 1.4e-07 8.1e-03 9.3e-06 1.00e+00 1.664217999e+02 1.664221484e+02 7.9e-11 2.92
74 1.3e-07 8.1e-03 8.3e-06 1.00e+00 1.664218234e+02 1.664221369e+02 7.1e-11 2.95
75 1.1e-07 8.0e-03 7.5e-06 1.00e+00 1.664218446e+02 1.664221266e+02 6.4e-11 2.98
76 1.0e-07 8.0e-03 6.8e-06 1.00e+00 1.664218636e+02 1.664221173e+02 5.7e-11 3.01
77 9.2e-08 7.9e-03 6.1e-06 9.96e-01 1.664218806e+02 1.664221090e+02 5.2e-11 3.05
78 8.2e-08 7.9e-03 5.5e-06 1.00e+00 1.664218960e+02 1.664221015e+02 4.6e-11 3.08
79 7.4e-08 7.9e-03 4.9e-06 9.93e-01 1.664219098e+02 1.664220948e+02 4.2e-11 3.11
80 6.7e-08 7.8e-03 4.4e-06 1.00e+00 1.664219223e+02 1.664220887e+02 3.8e-11 3.14
81 6.0e-08 7.8e-03 4.0e-06 1.00e+00 1.664219335e+02 1.664220832e+02 3.4e-11 3.17
82 5.4e-08 7.8e-03 3.6e-06 1.00e+00 1.664219437e+02 1.664220782e+02 3.1e-11 3.20
83 4.9e-08 7.7e-03 3.2e-06 9.85e-01 1.664219527e+02 1.664220739e+02 2.7e-11 3.23
84 4.4e-08 7.7e-03 2.9e-06 1.00e+00 1.664219608e+02 1.664220699e+02 2.5e-11 3.27
85 3.9e-08 7.7e-03 2.6e-06 9.97e-01 1.664219681e+02 1.664220663e+02 2.2e-11 3.30
86 3.5e-08 6.9e-03 2.4e-06 1.00e+00 1.664219748e+02 1.664220631e+02 2.0e-11 3.33
87 3.2e-08 6.2e-03 2.1e-06 1.01e+00 1.664219809e+02 1.664220601e+02 1.8e-11 3.36
88 2.9e-08 5.6e-03 1.9e-06 9.86e-01 1.664219862e+02 1.664220575e+02 1.6e-11 3.39
89 2.6e-08 5.0e-03 1.7e-06 9.87e-01 1.664219910e+02 1.664220552e+02 1.5e-11 3.42
90 2.3e-08 4.5e-03 1.5e-06 9.62e-01 1.664219953e+02 1.664220532e+02 1.3e-11 3.45
91 2.1e-08 4.1e-03 1.4e-06 9.87e-01 1.664219991e+02 1.664220513e+02 1.2e-11 3.50
92 1.9e-08 3.7e-03 1.3e-06 9.92e-01 1.664220026e+02 1.664220496e+02 1.1e-11 3.53
93 1.7e-08 3.3e-03 1.1e-06 1.02e+00 1.664220060e+02 1.664220479e+02 9.7e-12 3.56
94 1.5e-08 3.0e-03 1.0e-06 9.69e-01 1.664220088e+02 1.664220466e+02 8.7e-12 3.59
95 1.4e-08 2.7e-03 9.1e-07 1.04e+00 1.664220118e+02 1.664220450e+02 8.0e-12 3.62
96 1.2e-08 2.4e-03 8.2e-07 9.77e-01 1.664220140e+02 1.664220440e+02 7.2e-12 3.65
97 1.1e-08 2.2e-03 7.4e-07 9.52e-01 1.664220160e+02 1.664220430e+02 6.5e-12 3.68
98 1.0e-08 2.0e-03 6.7e-07 1.03e+00 1.664220180e+02 1.664220420e+02 5.9e-12 3.71
99 9.1e-09 1.8e-03 6.0e-07 9.87e-01 1.664220196e+02 1.664220412e+02 5.3e-12 3.74
100 8.3e-09 1.6e-03 5.4e-07 1.01e+00 1.664220211e+02 1.664220405e+02 4.8e-12 3.77
101 7.4e-09 1.4e-03 4.9e-07 1.07e+00 1.664220229e+02 1.664220395e+02 4.5e-12 3.81
102 6.9e-09 1.3e-03 4.4e-07 1.08e+00 1.664220244e+02 1.664220388e+02 4.2e-12 3.84
103 6.2e-09 1.2e-03 3.9e-07 8.79e-01 1.664220253e+02 1.664220383e+02 3.8e-12 3.87
104 5.6e-09 1.0e-03 3.5e-07 1.04e+00 1.664220264e+02 1.664220378e+02 3.5e-12 3.90
105 5.1e-09 9.4e-04 3.2e-07 9.39e-01 1.664220271e+02 1.664220375e+02 3.1e-12 3.93
106 4.6e-09 8.4e-04 2.9e-07 1.13e+00 1.664220282e+02 1.664220369e+02 3.0e-12 3.96
107 4.2e-09 7.6e-04 2.6e-07 1.03e+00 1.664220289e+02 1.664220365e+02 2.7e-12 3.99
108 3.7e-09 6.8e-04 2.3e-07 9.32e-01 1.664220294e+02 1.664220363e+02 2.5e-12 4.02
109 3.4e-09 6.1e-04 2.1e-07 9.48e-01 1.664220299e+02 1.664220361e+02 2.2e-12 4.05
110 3.1e-09 5.5e-04 1.9e-07 9.56e-01 1.664220303e+02 1.664220359e+02 2.0e-12 4.08
111 2.8e-09 5.0e-04 1.7e-07 1.07e+00 1.664220308e+02 1.664220356e+02 1.9e-12 4.11
112 2.5e-09 4.5e-04 1.5e-07 1.01e+00 1.664220311e+02 1.664220355e+02 1.7e-12 4.15
113 2.2e-09 4.0e-04 1.4e-07 1.07e+00 1.664220315e+02 1.664220353e+02 1.6e-12 4.18
114 2.4e-09 2.4e-05 8.2e-09 8.54e-01 1.664220340e+02 1.664220343e+02 1.9e-13 4.21
Interior-point optimizer terminated. Time: 4.21.
Optimizer terminated. Time: 4.28
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203402e+02 Viol. con: 5e-08 var: 0e+00
Dual. obj: 1.6642203426e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.3 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.06 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 : 1.46e+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 -1.285332490e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263506588e+05 3.573405454e+00 4.8e-01 0.11
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201229547e+05 1.024109719e+01 1.8e-01 0.14
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154146777e+05 6.438981723e+01 1.2e-01 0.17
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.128141978e+05 2.256492846e+03 1.2e-01 0.20
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.452178159e+04 9.623256934e+03 3.3e-02 0.24
6 3.0e+01 3.8e+01 1.7e+03 -1.92e-01 -4.039651243e+04 1.017307640e+04 1.3e-02 0.27
7 1.8e+01 2.3e+01 1.0e+03 3.96e-01 -2.710375295e+04 6.644047429e+03 7.9e-03 0.31
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.529782485e+04 3.811648863e+03 4.1e-03 0.34
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.370848034e+03 1.685454206e+03 1.5e-03 0.37
10 1.6e+00 2.1e+00 9.1e+01 9.54e-01 -2.488081908e+03 1.068003348e+03 7.3e-04 0.41
11 9.3e-01 1.2e+00 5.2e+01 9.86e-01 -1.337572716e+03 6.866736574e+02 4.1e-04 0.44
12 8.5e-01 1.1e+00 4.8e+01 9.60e-01 -1.253948841e+03 6.354958892e+02 3.8e-04 0.47
13 4.7e-01 6.1e-01 2.7e+01 9.77e-01 -6.373830369e+02 4.197232916e+02 2.1e-04 0.50
14 2.5e-01 3.3e-01 1.4e+01 1.00e+00 -2.541759621e+02 3.021339696e+02 1.1e-04 0.53
15 9.3e-02 1.5e-01 5.3e+00 1.00e+00 -3.964805909e+00 2.060656393e+02 4.3e-05 0.57
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.475452207e+01 2.084811394e+02 4.0e-05 0.61
17 6.0e-02 9.6e-02 3.4e+00 1.02e+00 6.117857967e+01 1.950768927e+02 2.8e-05 0.65
18 3.3e-02 7.2e-02 1.9e+00 1.02e+00 1.091844937e+02 1.824028745e+02 1.5e-05 0.68
19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.513702697e+02 1.718414398e+02 4.3e-06 0.71
20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602184559e+02 1.683899240e+02 1.7e-06 0.74
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642699848e+02 1.671903194e+02 6.2e-07 0.77
22 8.6e-04 1.0e-01 5.2e-02 9.84e-01 1.649681738e+02 1.669443941e+02 4.3e-07 0.80
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659690941e+02 1.665864846e+02 1.3e-07 0.83
24 9.4e-05 1.0e-01 6.1e-03 1.01e+00 1.662459032e+02 1.664756907e+02 5.1e-08 0.86
25 3.7e-05 9.5e-02 2.4e-03 1.01e+00 1.663440808e+02 1.664350960e+02 2.0e-08 0.89
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663785049e+02 1.664206579e+02 9.5e-09 0.92
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663820229e+02 1.664199767e+02 8.5e-09 0.95
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663846096e+02 1.664187607e+02 7.7e-09 0.97
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663869814e+02 1.664177120e+02 6.9e-09 1.00
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663891060e+02 1.664167590e+02 6.2e-09 1.03
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663910166e+02 1.664159007e+02 5.6e-09 1.05
32 9.1e-06 4.7e-02 5.9e-04 1.00e+00 1.663927338e+02 1.664151266e+02 5.0e-09 1.08
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663942776e+02 1.664144287e+02 4.5e-09 1.11
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663956656e+02 1.664137995e+02 4.1e-09 1.14
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969135e+02 1.664132324e+02 3.7e-09 1.17
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663980355e+02 1.664127213e+02 3.3e-09 1.20
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663990445e+02 1.664122607e+02 3.0e-09 1.23
38 4.8e-06 2.9e-02 3.2e-04 1.00e+00 1.663999518e+02 1.664118455e+02 2.7e-09 1.26
39 4.3e-06 2.6e-02 2.8e-04 1.00e+00 1.664007678e+02 1.664114714e+02 2.4e-09 1.29
40 3.9e-06 2.5e-02 2.6e-04 1.00e+00 1.664015016e+02 1.664111343e+02 2.2e-09 1.32
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664021615e+02 1.664108304e+02 2.0e-09 1.35
42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027550e+02 1.664105566e+02 1.8e-09 1.38
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664032887e+02 1.664103099e+02 1.6e-09 1.41
44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037688e+02 1.664100877e+02 1.4e-09 1.43
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042006e+02 1.664098874e+02 1.3e-09 1.46
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045891e+02 1.664097071e+02 1.2e-09 1.49
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049386e+02 1.664095447e+02 1.0e-09 1.52
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052531e+02 1.664093985e+02 9.4e-10 1.56
49 1.5e-06 1.4e-02 9.9e-05 1.00e+00 1.664055360e+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 1.62
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060195e+02 1.664090413e+02 6.8e-10 1.66
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062256e+02 1.664089451e+02 6.1e-10 1.70
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064110e+02 1.664088584e+02 5.5e-10 1.73
54 8.9e-07 1.2e-02 5.9e-05 1.00e+00 1.664065778e+02 1.664087804e+02 5.0e-10 1.77
55 8.0e-07 1.1e-02 5.3e-05 1.00e+00 1.664067278e+02 1.664087102e+02 4.5e-10 1.80
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068628e+02 1.664086470e+02 4.0e-10 1.83
57 6.5e-07 1.0e-02 4.3e-05 1.00e+00 1.664069842e+02 1.664085900e+02 3.6e-10 1.86
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664070935e+02 1.664085387e+02 3.3e-10 1.90
59 5.3e-07 9.9e-03 3.5e-05 1.00e+00 1.664071918e+02 1.664084924e+02 2.9e-10 1.93
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072802e+02 1.664084507e+02 2.6e-10 1.96
61 4.3e-07 9.5e-03 2.8e-05 1.00e+00 1.664073597e+02 1.664084132e+02 2.4e-10 1.99
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074312e+02 1.664083794e+02 2.1e-10 2.02
63 3.5e-07 9.1e-03 2.3e-05 1.00e+00 1.664074956e+02 1.664083489e+02 1.9e-10 2.06
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075535e+02 1.664083214e+02 1.7e-10 2.09
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076056e+02 1.664082967e+02 1.6e-10 2.12
66 2.5e-07 8.7e-03 1.7e-05 1.00e+00 1.664076524e+02 1.664082744e+02 1.4e-10 2.15
67 2.3e-07 8.6e-03 1.5e-05 9.99e-01 1.664076946e+02 1.664082544e+02 1.3e-10 2.18
68 2.0e-07 8.5e-03 1.3e-05 9.98e-01 1.664077325e+02 1.664082364e+02 1.1e-10 2.21
69 1.8e-07 8.4e-03 1.2e-05 1.00e+00 1.664077667e+02 1.664082201e+02 1.0e-10 2.25
70 1.7e-07 8.3e-03 1.1e-05 1.00e+00 1.664077974e+02 1.664082054e+02 9.2e-11 2.28
71 1.5e-07 8.2e-03 9.8e-06 1.00e+00 1.664078250e+02 1.664081922e+02 8.3e-11 2.31
72 1.3e-07 8.2e-03 8.8e-06 1.00e+00 1.664078499e+02 1.664081804e+02 7.5e-11 2.35
73 1.2e-07 8.1e-03 7.9e-06 1.00e+00 1.664078723e+02 1.664081697e+02 6.7e-11 2.38
74 1.1e-07 8.0e-03 7.1e-06 1.00e+00 1.664078924e+02 1.664081601e+02 6.1e-11 2.41
75 9.8e-08 8.0e-03 6.4e-06 9.93e-01 1.664079105e+02 1.664081515e+02 5.4e-11 2.44
76 8.8e-08 7.2e-03 5.8e-06 1.01e+00 1.664079272e+02 1.664081435e+02 4.9e-11 2.48
77 7.9e-08 6.5e-03 5.2e-06 1.01e+00 1.664079420e+02 1.664081364e+02 4.4e-11 2.52
78 7.1e-08 5.8e-03 4.7e-06 1.00e+00 1.664079552e+02 1.664081301e+02 4.0e-11 2.55
79 6.4e-08 5.2e-03 4.2e-06 9.90e-01 1.664079670e+02 1.664081245e+02 3.6e-11 2.58
80 5.8e-08 4.7e-03 3.8e-06 1.01e+00 1.664079779e+02 1.664081193e+02 3.2e-11 2.61
81 5.2e-08 4.2e-03 3.4e-06 1.01e+00 1.664079877e+02 1.664081146e+02 2.9e-11 2.64
82 4.7e-08 3.8e-03 3.1e-06 9.78e-01 1.664079963e+02 1.664081106e+02 2.6e-11 2.67
83 4.2e-08 3.4e-03 2.8e-06 9.76e-01 1.664080040e+02 1.664081070e+02 2.4e-11 2.70
84 3.8e-08 3.1e-03 2.5e-06 9.99e-01 1.664080109e+02 1.664081036e+02 2.1e-11 2.74
85 3.4e-08 2.8e-03 2.2e-06 1.01e+00 1.664080173e+02 1.664081006e+02 1.9e-11 2.77
86 3.1e-08 2.5e-03 2.0e-06 1.00e+00 1.664080229e+02 1.664080979e+02 1.7e-11 2.80
87 2.8e-08 2.3e-03 1.8e-06 1.01e+00 1.664080282e+02 1.664080953e+02 1.6e-11 2.83
88 2.5e-08 2.0e-03 1.6e-06 9.73e-01 1.664080328e+02 1.664080932e+02 1.4e-11 2.86
89 2.2e-08 1.8e-03 1.5e-06 9.74e-01 1.664080368e+02 1.664080912e+02 1.3e-11 2.92
90 2.0e-08 1.6e-03 1.3e-06 1.02e+00 1.664080407e+02 1.664080893e+02 1.1e-11 2.95
91 1.8e-08 1.5e-03 1.2e-06 1.03e+00 1.664080444e+02 1.664080875e+02 1.0e-11 2.98
92 1.6e-08 1.3e-03 1.1e-06 9.97e-01 1.664080474e+02 1.664080861e+02 9.4e-12 3.02
93 1.5e-08 1.2e-03 9.6e-07 1.04e+00 1.664080505e+02 1.664080846e+02 8.6e-12 3.05
94 1.3e-08 1.1e-03 8.7e-07 8.94e-01 1.664080527e+02 1.664080835e+02 7.8e-12 3.08
95 1.2e-08 9.7e-04 7.8e-07 9.70e-01 1.664080548e+02 1.664080826e+02 7.0e-12 3.11
96 1.1e-08 8.7e-04 7.0e-07 1.06e+00 1.664080572e+02 1.664080814e+02 6.5e-12 3.15
97 9.7e-09 7.9e-04 6.3e-07 9.83e-01 1.664080588e+02 1.664080806e+02 5.8e-12 3.17
98 8.8e-09 7.1e-04 5.7e-07 1.02e+00 1.664080604e+02 1.664080798e+02 5.3e-12 3.20
99 8.1e-09 6.4e-04 5.1e-07 9.45e-01 1.664080617e+02 1.664080792e+02 4.8e-12 3.23
100 7.3e-09 5.7e-04 4.6e-07 8.33e-01 1.664080629e+02 1.664080787e+02 4.3e-12 3.26
101 6.5e-09 5.2e-04 4.1e-07 8.89e-01 1.664080639e+02 1.664080783e+02 3.9e-12 3.29
102 5.9e-09 4.6e-04 3.7e-07 8.74e-01 1.664080649e+02 1.664080779e+02 3.5e-12 3.32
103 5.3e-09 4.2e-04 3.4e-07 1.11e+00 1.664080662e+02 1.664080771e+02 3.3e-12 3.35
104 4.9e-09 3.8e-04 3.0e-07 1.05e+00 1.664080671e+02 1.664080767e+02 3.1e-12 3.38
105 4.4e-09 3.4e-04 2.7e-07 1.04e+00 1.664080679e+02 1.664080763e+02 2.8e-12 3.41
106 5.3e-09 4.1e-05 3.3e-08 6.35e-01 1.664080734e+02 1.664080746e+02 6.7e-13 3.44
Interior-point optimizer terminated. Time: 3.44.
Optimizer terminated. Time: 3.49
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807335e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6640807457e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.51 seconds.
Solving took 9 GP solves and 43.2 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: 1.4957405797829475e+110 vs 1.49570243772e+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: 3.705401735877883e+72 vs 3.70525305e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.9468215]
Total Aircraft Weight Percent Diff: [-21.48055934]
Engine Weight Percent Diff: -56.27822011140008
Fuselage Weight Percent Diff: -0.8697142090047817
Payload Weight Percent Diff: [-0.04003554]
VT Weight Percent Diff: -8.607525654438774
HT Weight Percent Diff: -93.23323321690889
Wing Weight Percent Diff: 8.267439320756838
WING DIFFERENCES
Wing Span Percent Diff: -0.029996749709645835
Wing Area Percent Diff: 32.900145213416984
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.4894023373619
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022323319774982
VT Area Percent Diff: -60.38682039807038
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54731976]
L/D Percent Diff: [24.01020183]
Nacelle Cd Percent Diff: [-94.27640811]
HT Cd Percent Diff: [-80.76935329] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00304135] dimensionless
Wing Cd percent Diff: [-14.22929907]
Induced Drag Cd Percent Diff: [1.21939566]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035877]
FUSELAGE DIFFERENCES
Weight of HB material: -38.3597038922603
Weight of VB material: 87.82721475671461
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260516]
Mission1
========
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission1.Aircraft.Wing.WingBox.N_{lift} = 3
Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission1.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission1.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*Mission1.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission1.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission1.Aircraft.Wing.WingBox.r_{w/c} = Mission1.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission1.Aircraft.Fuselage.N_{lift} = Mission1.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission1.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission1.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission1.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission1.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3438 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.07 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 2.9e+03 1.3e+05 0.00e+00 -1.280976207e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.3e+04 -9.71e-01 -1.260360597e+05 3.611424052e+00 4.9e-01 0.13
2 4.1e+02 5.3e+02 2.3e+04 -9.38e-01 -1.195206719e+05 1.063331153e+01 1.8e-01 0.16
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.151942168e+05 6.795829655e+01 1.3e-01 0.19
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127212826e+05 2.109723808e+03 1.3e-01 0.23
5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.071413615e+04 8.411072422e+03 3.9e-02 0.25
6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.787028059e+04 1.016025756e+04 1.6e-02 0.28
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 0.35
10 1.3e+00 1.7e+00 7.6e+01 9.07e-01 -2.021517100e+03 9.278094940e+02 6.1e-04 0.38
11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.292899266e+02 7.204982019e+02 3.2e-04 0.40
12 4.7e-01 6.1e-01 2.7e+01 9.97e-01 -4.810408396e+02 5.632816117e+02 2.1e-04 0.43
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.119899248e+02 4.857188935e+02 1.6e-04 0.45
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.727746611e+01 3.656933383e+02 7.9e-05 0.47
15 5.5e-02 1.5e-01 3.2e+00 9.94e-01 1.624902967e+02 2.901499707e+02 2.7e-05 0.50
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.999027139e+02 2.746125040e+02 1.6e-05 0.52
17 5.1e-03 1.8e-01 3.2e-01 1.00e+00 2.445305033e+02 2.572371524e+02 2.8e-06 0.55
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509424510e+02 2.546897023e+02 8.3e-07 0.57
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527845502e+02 2.540210950e+02 2.8e-07 0.60
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532880856e+02 2.538352203e+02 1.2e-07 0.62
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533292209e+02 2.538216573e+02 1.1e-07 0.65
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533650962e+02 2.538082643e+02 1.0e-07 0.68
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533974267e+02 2.537962616e+02 9.0e-08 0.70
24 1.4e-04 5.9e-02 9.2e-03 1.00e+00 2.534264980e+02 2.537854354e+02 8.1e-08 0.73
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534526435e+02 2.537756756e+02 7.3e-08 0.75
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534761571e+02 2.537668763e+02 6.5e-08 0.78
27 1.0e-04 4.5e-02 6.7e-03 1.00e+00 2.534973060e+02 2.537589453e+02 5.9e-08 0.81
28 9.0e-05 4.1e-02 6.1e-03 1.00e+00 2.535163290e+02 2.537517977e+02 5.3e-08 0.84
29 8.1e-05 3.8e-02 5.4e-03 1.00e+00 2.535334405e+02 2.537453571e+02 4.8e-08 0.86
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535488334e+02 2.537395540e+02 4.3e-08 0.90
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535626808e+02 2.537343259e+02 3.9e-08 0.93
32 5.9e-05 3.0e-02 4.0e-03 1.00e+00 2.535751383e+02 2.537296160e+02 3.5e-08 0.95
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535863455e+02 2.537253733e+02 3.1e-08 0.98
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535964283e+02 2.537215516e+02 2.8e-08 1.00
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536054996e+02 2.537181092e+02 2.5e-08 1.03
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536136611e+02 2.537150086e+02 2.3e-08 1.06
37 3.5e-05 2.0e-02 2.3e-03 1.00e+00 2.536210041e+02 2.537122161e+02 2.1e-08 1.08
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276109e+02 2.537097011e+02 1.9e-08 1.11
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536335554e+02 2.537074361e+02 1.7e-08 1.13
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389040e+02 2.537053963e+02 1.5e-08 1.16
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536437166e+02 2.537035594e+02 1.3e-08 1.19
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536480470e+02 2.537019053e+02 1.2e-08 1.21
43 1.9e-05 1.4e-02 1.2e-03 1.00e+00 2.536519435e+02 2.537004159e+02 1.1e-08 1.24
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554497e+02 2.536990748e+02 9.8e-09 1.26
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586047e+02 2.536978673e+02 8.9e-09 1.29
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614438e+02 2.536967801e+02 8.0e-09 1.31
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536639986e+02 2.536958013e+02 7.2e-09 1.34
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536662977e+02 2.536949200e+02 6.5e-09 1.36
49 9.9e-06 1.1e-02 6.6e-04 1.00e+00 2.536683666e+02 2.536941267e+02 5.8e-09 1.39
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536702284e+02 2.536934125e+02 5.2e-09 1.41
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536719038e+02 2.536927696e+02 4.7e-09 1.44
52 7.2e-06 1.0e-02 4.8e-04 1.00e+00 2.536734116e+02 2.536921909e+02 4.2e-09 1.46
53 6.5e-06 9.9e-03 4.3e-04 1.00e+00 2.536747686e+02 2.536916699e+02 3.8e-09 1.49
54 5.8e-06 9.6e-03 3.9e-04 1.00e+00 2.536759897e+02 2.536912009e+02 3.4e-09 1.52
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770886e+02 2.536907788e+02 3.1e-09 1.54
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780776e+02 2.536903987e+02 2.8e-09 1.57
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789676e+02 2.536900567e+02 2.5e-09 1.60
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797686e+02 2.536897487e+02 2.3e-09 1.63
59 3.4e-06 8.7e-03 2.3e-04 1.00e+00 2.536804894e+02 2.536894716e+02 2.0e-09 1.65
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811381e+02 2.536892221e+02 1.8e-09 1.68
61 1.2e-06 3.3e-03 8.1e-05 1.00e+00 2.536846983e+02 2.536878513e+02 7.1e-10 1.71
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849266e+02 2.536877642e+02 6.4e-10 1.73
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862390e+02 2.536872586e+02 2.3e-10 1.76
64 3.5e-07 9.7e-04 2.4e-05 1.00e+00 2.536863127e+02 2.536872303e+02 2.1e-10 1.80
65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863789e+02 2.536872048e+02 1.9e-10 1.82
66 2.8e-07 7.9e-04 1.9e-05 9.99e-01 2.536864384e+02 2.536871818e+02 1.7e-10 1.85
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864921e+02 2.536871611e+02 1.5e-10 1.88
68 2.3e-07 6.4e-04 1.5e-05 1.00e+00 2.536865404e+02 2.536871425e+02 1.4e-10 1.91
69 2.1e-07 5.7e-04 1.4e-05 1.00e+00 2.536865838e+02 2.536871257e+02 1.2e-10 1.93
70 1.9e-07 5.2e-04 1.3e-05 9.99e-01 2.536866229e+02 2.536871106e+02 1.1e-10 1.96
71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866581e+02 2.536870970e+02 9.9e-11 2.00
72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866898e+02 2.536870848e+02 8.9e-11 2.03
73 1.4e-07 3.8e-04 9.1e-06 1.00e+00 2.536867183e+02 2.536870738e+02 8.0e-11 2.06
74 1.2e-07 3.4e-04 8.2e-06 9.99e-01 2.536867439e+02 2.536870639e+02 7.2e-11 2.10
75 1.1e-07 3.1e-04 7.4e-06 1.00e+00 2.536867670e+02 2.536870550e+02 6.5e-11 2.13
76 9.9e-08 2.7e-04 6.7e-06 1.00e+00 2.536867878e+02 2.536870469e+02 5.8e-11 2.16
77 8.9e-08 2.5e-04 6.0e-06 1.00e+00 2.536868065e+02 2.536870397e+02 5.3e-11 2.18
78 8.0e-08 2.2e-04 5.4e-06 1.00e+00 2.536868234e+02 2.536870331e+02 4.7e-11 2.21
79 7.2e-08 2.0e-04 4.9e-06 9.98e-01 2.536868385e+02 2.536870273e+02 4.3e-11 2.24
80 6.5e-08 1.8e-04 4.4e-06 1.00e+00 2.536868521e+02 2.536870220e+02 3.8e-11 2.28
81 5.9e-08 1.6e-04 3.9e-06 1.00e+00 2.536868644e+02 2.536870173e+02 3.5e-11 2.30
82 5.3e-08 1.5e-04 3.5e-06 9.99e-01 2.536868754e+02 2.536870130e+02 3.1e-11 2.33
83 4.8e-08 1.3e-04 3.2e-06 9.99e-01 2.536868853e+02 2.536870092e+02 2.8e-11 2.35
84 4.3e-08 1.2e-04 2.9e-06 9.98e-01 2.536868943e+02 2.536870058e+02 2.5e-11 2.38
85 3.8e-08 1.1e-04 2.6e-06 9.92e-01 2.536869023e+02 2.536870027e+02 2.3e-11 2.40
86 3.5e-08 9.6e-05 2.3e-06 1.00e+00 2.536869095e+02 2.536869999e+02 2.0e-11 2.43
87 3.1e-08 8.6e-05 2.1e-06 9.98e-01 2.536869160e+02 2.536869974e+02 1.8e-11 2.47
88 2.8e-08 7.8e-05 1.9e-06 1.00e+00 2.536869220e+02 2.536869951e+02 1.7e-11 2.49
89 2.5e-08 7.0e-05 1.7e-06 9.94e-01 2.536869272e+02 2.536869930e+02 1.5e-11 2.52
90 2.3e-08 6.3e-05 1.5e-06 9.97e-01 2.536869320e+02 2.536869912e+02 1.3e-11 2.55
91 2.0e-08 5.7e-05 1.4e-06 9.92e-01 2.536869362e+02 2.536869896e+02 1.2e-11 2.58
92 1.8e-08 5.1e-05 1.2e-06 1.00e+00 2.536869401e+02 2.536869881e+02 1.1e-11 2.61
93 1.7e-08 4.6e-05 1.1e-06 9.88e-01 2.536869436e+02 2.536869867e+02 9.8e-12 2.64
94 1.5e-08 4.1e-05 1.0e-06 1.00e+00 2.536869467e+02 2.536869855e+02 8.8e-12 2.66
95 1.3e-08 3.7e-05 9.0e-07 9.91e-01 2.536869495e+02 2.536869845e+02 7.9e-12 2.69
96 1.2e-08 3.3e-05 8.1e-07 9.98e-01 2.536869520e+02 2.536869835e+02 7.1e-12 2.72
97 1.1e-08 3.0e-05 7.3e-07 9.82e-01 2.536869542e+02 2.536869826e+02 6.4e-12 2.75
98 9.8e-09 2.7e-05 6.6e-07 9.84e-01 2.536869563e+02 2.536869818e+02 5.8e-12 2.78
Interior-point optimizer terminated. Time: 2.78.
Optimizer terminated. Time: 2.83
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695627e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698183e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.85 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 : 0.09 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 0.12
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.259414228e+05 3.780941016e+00 4.7e-01 0.15
2 4.6e+02 5.9e+02 2.6e+04 -9.35e-01 -1.205918795e+05 9.868922469e+00 2.0e-01 0.18
3 2.9e+02 3.7e+02 1.6e+04 -8.50e-01 -1.154239527e+05 5.250197665e+01 1.3e-01 0.21
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.133019475e+05 1.862130071e+03 1.3e-01 0.24
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.812142137e+04 9.031239862e+03 3.6e-02 0.27
6 3.6e+01 4.6e+01 2.0e+03 -2.53e-01 -4.675648660e+04 1.010078036e+04 1.6e-02 0.29
7 1.9e+01 2.4e+01 1.0e+03 2.76e-01 -2.801894271e+04 6.402312760e+03 8.2e-03 0.32
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.471216471e+04 4.005088046e+03 4.0e-03 0.35
9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.206578130e+03 2.776623777e+03 2.5e-03 0.38
10 1.9e+00 2.4e+00 1.1e+02 9.02e-01 -2.967188654e+03 1.150549025e+03 8.4e-04 0.40
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.411824302e+03 1.013250323e+03 7.0e-04 0.43
12 1.0e+00 1.4e+00 5.6e+01 9.78e-01 -1.467426015e+03 7.220756007e+02 4.4e-04 0.46
13 4.6e-01 6.8e-01 2.6e+01 9.83e-01 -5.896885850e+02 4.319682164e+02 2.1e-04 0.49
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.320841050e+02 3.288888011e+02 1.1e-04 0.51
15 1.0e-01 1.6e-01 5.7e+00 1.00e+00 1.044649105e+01 2.360029657e+02 4.6e-05 0.54
16 4.7e-02 1.0e-01 2.7e+00 1.00e+00 9.574896581e+01 2.020284501e+02 2.2e-05 0.56
17 1.0e-02 1.4e-01 6.2e-01 1.01e+00 1.548431092e+02 1.790677327e+02 5.2e-06 0.58
18 6.3e-03 1.0e-01 3.9e-01 1.01e+00 1.614292053e+02 1.765011116e+02 3.2e-06 0.60
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.695627729e+02 1.734405850e+02 8.5e-07 0.63
20 3.4e-04 1.4e-01 2.2e-02 1.01e+00 1.717721236e+02 1.726293360e+02 1.9e-07 0.67
21 1.4e-04 1.0e-01 9.5e-03 9.94e-01 1.721372135e+02 1.725037898e+02 8.3e-08 0.70
22 8.9e-05 8.2e-02 6.0e-03 1.00e+00 1.722347053e+02 1.724653289e+02 5.2e-08 0.73
23 8.0e-05 7.6e-02 5.4e-03 1.00e+00 1.722527901e+02 1.724604210e+02 4.7e-08 0.76
24 7.2e-05 6.9e-02 4.8e-03 1.00e+00 1.722680409e+02 1.724549096e+02 4.2e-08 0.79
25 6.5e-05 6.3e-02 4.3e-03 1.00e+00 1.722818156e+02 1.724499964e+02 3.8e-08 0.82
26 5.9e-05 5.7e-02 3.9e-03 1.00e+00 1.722941840e+02 1.724455453e+02 3.4e-08 0.85
27 5.3e-05 5.2e-02 3.5e-03 1.00e+00 1.723053030e+02 1.724415267e+02 3.1e-08 0.88
28 4.7e-05 4.8e-02 3.2e-03 1.00e+00 1.723152951e+02 1.724378949e+02 2.8e-08 0.91
29 4.3e-05 4.4e-02 2.8e-03 1.00e+00 1.723242744e+02 1.724346128e+02 2.5e-08 0.94
30 3.8e-05 4.0e-02 2.6e-03 1.00e+00 1.723323434e+02 1.724316467e+02 2.2e-08 0.98
31 3.5e-05 3.7e-02 2.3e-03 1.00e+00 1.723395947e+02 1.724289666e+02 2.0e-08 1.01
32 3.1e-05 3.4e-02 2.1e-03 1.00e+00 1.723461117e+02 1.724265454e+02 1.8e-08 1.04
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723519693e+02 1.724243590e+02 1.6e-08 1.07
34 2.5e-05 2.9e-02 1.7e-03 1.00e+00 1.723572348e+02 1.724223850e+02 1.5e-08 1.10
35 2.3e-05 2.7e-02 1.5e-03 1.00e+00 1.723619687e+02 1.724206034e+02 1.3e-08 1.13
36 2.0e-05 2.5e-02 1.4e-03 1.00e+00 1.723662251e+02 1.724189959e+02 1.2e-08 1.16
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723700523e+02 1.724175458e+02 1.1e-08 1.19
38 1.7e-05 2.2e-02 1.1e-03 1.00e+00 1.723734940e+02 1.724162380e+02 9.7e-09 1.23
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723765891e+02 1.724150586e+02 8.7e-09 1.26
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723793728e+02 1.724139952e+02 7.8e-09 1.29
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723818764e+02 1.724130366e+02 7.1e-09 1.32
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723841283e+02 1.724121725e+02 6.4e-09 1.35
43 9.8e-06 1.6e-02 6.5e-04 1.00e+00 1.723861539e+02 1.724113936e+02 5.7e-09 1.39
44 8.8e-06 1.5e-02 5.9e-04 1.00e+00 1.723879759e+02 1.724106917e+02 5.1e-09 1.42
45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723896149e+02 1.724100592e+02 4.6e-09 1.45
46 7.1e-06 1.4e-02 4.8e-04 1.00e+00 1.723910894e+02 1.724094892e+02 4.2e-09 1.48
47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723924158e+02 1.724089757e+02 3.8e-09 1.51
48 5.8e-06 1.3e-02 3.9e-04 1.00e+00 1.723936091e+02 1.724085131e+02 3.4e-09 1.54
49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723946827e+02 1.724080963e+02 3.0e-09 1.59
50 4.7e-06 1.2e-02 3.1e-04 1.00e+00 1.723956486e+02 1.724077209e+02 2.7e-09 1.62
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965176e+02 1.724073827e+02 2.5e-09 1.65
52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723972995e+02 1.724070781e+02 2.2e-09 1.68
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980030e+02 1.724068038e+02 2.0e-09 1.71
54 3.1e-06 1.0e-02 2.0e-04 1.00e+00 1.723986360e+02 1.724065568e+02 1.8e-09 1.75
55 2.8e-06 1.0e-02 1.8e-04 1.00e+00 1.723992055e+02 1.724063343e+02 1.6e-09 1.78
56 2.5e-06 9.7e-03 1.7e-04 1.00e+00 1.723997180e+02 1.724061339e+02 1.5e-09 1.81
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001791e+02 1.724059535e+02 1.3e-09 1.84
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724005941e+02 1.724057910e+02 1.2e-09 1.87
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009675e+02 1.724056447e+02 1.1e-09 1.90
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013034e+02 1.724055130e+02 9.5e-10 1.94
61 1.5e-06 8.8e-03 9.8e-05 1.00e+00 1.724016058e+02 1.724053944e+02 8.6e-10 1.97
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018778e+02 1.724052876e+02 7.7e-10 2.00
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021226e+02 1.724051914e+02 7.0e-10 2.03
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023429e+02 1.724051049e+02 6.3e-10 2.06
65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025411e+02 1.724050269e+02 5.6e-10 2.09
66 8.7e-07 8.3e-03 5.8e-05 1.00e+00 1.724027195e+02 1.724049567e+02 5.1e-10 2.12
67 7.8e-07 8.2e-03 5.2e-05 1.00e+00 1.724028800e+02 1.724048935e+02 4.6e-10 2.15
68 7.0e-07 8.1e-03 4.7e-05 1.00e+00 1.724030245e+02 1.724048366e+02 4.1e-10 2.19
69 6.3e-07 8.0e-03 4.2e-05 1.00e+00 1.724031544e+02 1.724047854e+02 3.7e-10 2.22
70 5.7e-07 8.0e-03 3.8e-05 1.00e+00 1.724032714e+02 1.724047393e+02 3.3e-10 2.25
71 5.1e-07 7.9e-03 3.4e-05 1.00e+00 1.724033767e+02 1.724046978e+02 3.0e-10 2.28
72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034714e+02 1.724046604e+02 2.7e-10 2.31
73 4.1e-07 7.8e-03 2.8e-05 1.00e+00 1.724035566e+02 1.724046267e+02 2.4e-10 2.34
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036333e+02 1.724045964e+02 2.2e-10 2.37
75 3.4e-07 7.7e-03 2.2e-05 1.00e+00 1.724037024e+02 1.724045692e+02 2.0e-10 2.40
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037645e+02 1.724045446e+02 1.8e-10 2.43
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038204e+02 1.724045225e+02 1.6e-10 2.47
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038707e+02 1.724045026e+02 1.4e-10 2.50
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039159e+02 1.724044847e+02 1.3e-10 2.53
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039567e+02 1.724044685e+02 1.2e-10 2.56
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039933e+02 1.724044540e+02 1.0e-10 2.59
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040263e+02 1.724044409e+02 9.4e-11 2.62
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040560e+02 1.724044291e+02 8.5e-11 2.65
84 1.3e-07 7.5e-03 8.7e-06 1.00e+00 1.724040827e+02 1.724044185e+02 7.6e-11 2.68
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041068e+02 1.724044090e+02 6.9e-11 2.72
86 1.1e-07 7.4e-03 7.0e-06 1.00e+00 1.724041284e+02 1.724044004e+02 6.2e-11 2.75
87 9.5e-08 7.4e-03 6.3e-06 1.00e+00 1.724041479e+02 1.724043927e+02 5.6e-11 2.78
88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041654e+02 1.724043857e+02 5.0e-11 2.81
89 7.7e-08 7.4e-03 5.1e-06 1.00e+00 1.724041811e+02 1.724043794e+02 4.5e-11 2.84
90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041953e+02 1.724043738e+02 4.0e-11 2.88
91 6.2e-08 7.4e-03 4.2e-06 1.00e+00 1.724042081e+02 1.724043687e+02 3.6e-11 2.91
92 5.6e-08 7.3e-03 3.7e-06 1.00e+00 1.724042196e+02 1.724043641e+02 3.3e-11 2.94
93 5.0e-08 7.3e-03 3.4e-06 1.00e+00 1.724042299e+02 1.724043600e+02 3.0e-11 2.97
94 4.5e-08 7.3e-03 3.0e-06 1.00e+00 1.724042392e+02 1.724043563e+02 2.7e-11 3.00
95 4.1e-08 7.3e-03 2.7e-06 9.98e-01 1.724042476e+02 1.724043530e+02 2.4e-11 3.03
96 3.7e-08 7.3e-03 2.5e-06 1.00e+00 1.724042551e+02 1.724043500e+02 2.2e-11 3.06
97 3.3e-08 7.3e-03 2.2e-06 1.00e+00 1.724042619e+02 1.724043473e+02 1.9e-11 3.09
98 3.0e-08 6.6e-03 2.0e-06 1.00e+00 1.724042680e+02 1.724043448e+02 1.7e-11 3.13
99 2.7e-08 5.9e-03 1.8e-06 1.00e+00 1.724042735e+02 1.724043426e+02 1.6e-11 3.16
100 2.4e-08 5.3e-03 1.6e-06 1.00e+00 1.724042785e+02 1.724043407e+02 1.4e-11 3.19
101 2.2e-08 4.8e-03 1.4e-06 9.97e-01 1.724042829e+02 1.724043389e+02 1.3e-11 3.22
102 2.0e-08 4.3e-03 1.3e-06 1.00e+00 1.724042869e+02 1.724043373e+02 1.1e-11 3.25
103 1.8e-08 3.9e-03 1.2e-06 1.00e+00 1.724042905e+02 1.724043359e+02 1.0e-11 3.28
104 1.6e-08 3.5e-03 1.1e-06 1.00e+00 1.724042938e+02 1.724043346e+02 9.3e-12 3.31
105 3.9e-09 8.6e-04 2.6e-07 9.98e-01 1.724043157e+02 1.724043258e+02 2.3e-12 3.35
106 3.5e-09 7.8e-04 2.4e-07 1.01e+00 1.724043164e+02 1.724043255e+02 2.1e-12 3.38
107 8.1e-10 1.7e-04 5.2e-08 1.01e+00 1.724043214e+02 1.724043235e+02 4.6e-13 3.41
Interior-point optimizer terminated. Time: 3.41.
Optimizer terminated. Time: 3.47
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432145e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432346e+02 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.49 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.06 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.284360422e+05 2.000000000e+00 1.0e+00 0.10
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.262635413e+05 3.636950463e+00 4.8e-01 0.13
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203756001e+05 1.002096575e+01 1.9e-01 0.16
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.156270293e+05 5.939414124e+01 1.3e-01 0.19
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131819787e+05 2.127639257e+03 1.3e-01 0.22
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.750684559e+04 9.253679316e+03 3.6e-02 0.25
6 4.0e+01 5.2e+01 2.2e+03 -2.39e-01 -5.068254963e+04 1.003928691e+04 1.8e-02 0.28
7 3.0e+01 3.9e+01 1.7e+03 2.16e-01 -4.166619150e+04 8.309958447e+03 1.3e-02 0.32
8 1.9e+01 2.4e+01 1.0e+03 3.78e-01 -2.878108983e+04 5.414643712e+03 8.2e-03 0.35
9 8.0e+00 1.0e+01 4.4e+02 5.99e-01 -1.315966555e+04 3.160786935e+03 3.5e-03 0.38
10 4.0e+00 5.1e+00 2.2e+02 8.45e-01 -6.347190257e+03 2.138382322e+03 1.8e-03 0.41
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.502129318e+03 1.318841798e+03 9.9e-04 0.43
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.332367035e+03 6.477132241e+02 4.1e-04 0.47
13 8.3e-01 1.1e+00 4.6e+01 9.70e-01 -1.217516355e+03 6.005383597e+02 3.7e-04 0.50
14 5.9e-01 7.7e-01 3.3e+01 9.74e-01 -8.114700339e+02 4.901688087e+02 2.6e-04 0.54
15 2.1e-01 7.5e-01 1.2e+01 9.90e-01 -1.973504796e+02 2.838923107e+02 9.8e-05 0.57
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.194808700e+01 2.162406109e+02 4.9e-05 0.60
17 7.7e-02 2.8e-01 4.4e+00 1.01e+00 2.773556725e+01 2.014212611e+02 3.6e-05 0.63
18 5.2e-02 2.0e-01 3.0e+00 1.02e+00 7.871292714e+01 1.952117975e+02 2.4e-05 0.67
19 1.5e-02 1.1e-01 8.7e-01 1.00e+00 1.409225299e+02 1.747335364e+02 7.0e-06 0.70
20 4.0e-03 2.2e-01 2.5e-01 1.02e+00 1.602100463e+02 1.696953067e+02 2.0e-06 0.73
21 2.7e-03 2.2e-01 1.7e-01 1.01e+00 1.623237653e+02 1.687770916e+02 1.3e-06 0.77
22 2.0e-03 1.6e-01 1.2e-01 1.00e+00 1.636802125e+02 1.683152488e+02 9.7e-07 0.80
23 7.7e-04 9.6e-02 4.8e-02 1.01e+00 1.657770310e+02 1.676106478e+02 3.9e-07 0.83
24 3.6e-04 8.1e-02 2.3e-02 1.01e+00 1.664801456e+02 1.673455427e+02 1.8e-07 0.86
25 1.5e-04 8.1e-02 9.7e-03 1.01e+00 1.668359730e+02 1.672047014e+02 7.9e-08 0.90
26 1.4e-04 7.4e-02 8.7e-03 1.01e+00 1.668663925e+02 1.671983758e+02 7.1e-08 0.93
27 1.2e-04 6.7e-02 7.8e-03 1.01e+00 1.668896171e+02 1.671882826e+02 6.4e-08 0.96
28 1.1e-04 6.2e-02 7.0e-03 1.01e+00 1.669108016e+02 1.671795202e+02 5.8e-08 1.00
29 1.0e-04 5.6e-02 6.3e-03 1.01e+00 1.669296996e+02 1.671714772e+02 5.2e-08 1.03
30 9.0e-05 5.1e-02 5.7e-03 1.01e+00 1.669466526e+02 1.671641961e+02 4.7e-08 1.06
31 8.1e-05 4.7e-02 5.1e-03 1.01e+00 1.669618563e+02 1.671575994e+02 4.2e-08 1.10
32 7.3e-05 4.3e-02 4.6e-03 1.01e+00 1.669754972e+02 1.671516282e+02 3.8e-08 1.13
33 6.5e-05 4.0e-02 4.2e-03 1.01e+00 1.669877379e+02 1.671462251e+02 3.4e-08 1.16
34 5.9e-05 3.6e-02 3.7e-03 1.01e+00 1.669987241e+02 1.671413376e+02 3.1e-08 1.19
35 5.3e-05 3.4e-02 3.4e-03 1.00e+00 1.670085857e+02 1.671369177e+02 2.8e-08 1.23
36 4.8e-05 3.1e-02 3.0e-03 1.00e+00 1.670174392e+02 1.671329216e+02 2.5e-08 1.26
37 4.3e-05 2.9e-02 2.7e-03 1.00e+00 1.670253886e+02 1.671293096e+02 2.2e-08 1.29
38 3.9e-05 2.7e-02 2.5e-03 1.00e+00 1.670325271e+02 1.671260454e+02 2.0e-08 1.33
39 3.5e-05 2.5e-02 2.2e-03 1.00e+00 1.670389383e+02 1.671230962e+02 1.8e-08 1.36
40 3.1e-05 2.3e-02 2.0e-03 1.00e+00 1.670446969e+02 1.671204321e+02 1.6e-08 1.39
41 2.8e-05 2.2e-02 1.8e-03 1.00e+00 1.670498699e+02 1.671180262e+02 1.5e-08 1.42
42 2.5e-05 2.0e-02 1.6e-03 1.00e+00 1.670545174e+02 1.671158537e+02 1.3e-08 1.45
43 2.3e-05 1.9e-02 1.5e-03 1.00e+00 1.670586932e+02 1.671138924e+02 1.2e-08 1.49
44 2.1e-05 1.8e-02 1.3e-03 1.00e+00 1.670624455e+02 1.671121220e+02 1.1e-08 1.52
45 1.8e-05 1.7e-02 1.2e-03 1.00e+00 1.670658175e+02 1.671105243e+02 9.6e-09 1.54
46 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.670688482e+02 1.671090825e+02 8.7e-09 1.57
47 1.5e-05 1.5e-02 9.5e-04 1.00e+00 1.670715722e+02 1.671077817e+02 7.8e-09 1.59
48 1.3e-05 1.4e-02 8.6e-04 1.00e+00 1.670740209e+02 1.671066084e+02 7.0e-09 1.63
49 1.2e-05 1.4e-02 7.7e-04 1.00e+00 1.670762221e+02 1.671055500e+02 6.3e-09 1.66
50 1.1e-05 1.3e-02 6.9e-04 1.00e+00 1.670782011e+02 1.671045956e+02 5.7e-09 1.69
51 9.8e-06 1.3e-02 6.2e-04 1.00e+00 1.670799804e+02 1.671037350e+02 5.1e-09 1.72
52 8.8e-06 1.2e-02 5.6e-04 1.00e+00 1.670815803e+02 1.671029590e+02 4.6e-09 1.75
53 8.0e-06 1.2e-02 5.1e-04 1.00e+00 1.670830190e+02 1.671022595e+02 4.2e-09 1.78
54 7.2e-06 1.1e-02 4.6e-04 1.00e+00 1.670843129e+02 1.671016290e+02 3.7e-09 1.81
55 6.4e-06 1.1e-02 4.1e-04 1.00e+00 1.670854765e+02 1.671010609e+02 3.4e-09 1.84
56 5.8e-06 1.1e-02 3.7e-04 1.00e+00 1.670865230e+02 1.671005488e+02 3.0e-09 1.87
57 5.2e-06 1.0e-02 3.3e-04 1.00e+00 1.670874643e+02 1.671000875e+02 2.7e-09 1.89
58 1.6e-06 3.3e-03 1.1e-04 1.00e+00 1.670932319e+02 1.670972295e+02 8.6e-10 1.92
59 1.5e-06 3.0e-03 9.5e-05 1.00e+00 1.670935008e+02 1.670970988e+02 7.8e-10 1.95
60 1.3e-06 2.7e-03 8.5e-05 9.99e-01 1.670937447e+02 1.670969830e+02 7.0e-10 1.98
61 5.3e-07 1.1e-03 3.4e-05 1.00e+00 1.670950403e+02 1.670963309e+02 2.8e-10 2.01
62 4.8e-07 9.6e-04 3.1e-05 1.00e+00 1.670951288e+02 1.670962902e+02 2.5e-10 2.04
63 4.3e-07 8.6e-04 2.8e-05 1.00e+00 1.670952060e+02 1.670962511e+02 2.3e-10 2.06
64 3.9e-07 7.7e-04 2.5e-05 1.00e+00 1.670952755e+02 1.670962161e+02 2.0e-10 2.09
65 3.5e-07 7.0e-04 2.2e-05 1.00e+00 1.670953380e+02 1.670961845e+02 1.8e-10 2.12
66 3.1e-07 6.3e-04 2.0e-05 1.00e+00 1.670953942e+02 1.670961560e+02 1.6e-10 2.15
67 2.8e-07 5.6e-04 1.8e-05 9.98e-01 1.670954447e+02 1.670961305e+02 1.5e-10 2.18
68 2.5e-07 5.1e-04 1.6e-05 1.00e+00 1.670954902e+02 1.670961073e+02 1.3e-10 2.21
69 2.3e-07 4.6e-04 1.5e-05 9.96e-01 1.670955311e+02 1.670960866e+02 1.2e-10 2.24
70 2.1e-07 4.1e-04 1.3e-05 1.00e+00 1.670955681e+02 1.670960678e+02 1.1e-10 2.27
71 1.9e-07 3.7e-04 1.2e-05 1.00e+00 1.670956012e+02 1.670960509e+02 9.7e-11 2.30
72 1.7e-07 3.3e-04 1.1e-05 9.95e-01 1.670956310e+02 1.670960358e+02 8.7e-11 2.32
73 1.5e-07 3.0e-04 9.6e-06 9.97e-01 1.670956578e+02 1.670960222e+02 7.9e-11 2.35
74 1.3e-07 2.7e-04 8.6e-06 9.96e-01 1.670956819e+02 1.670960099e+02 7.1e-11 2.38
75 1.2e-07 2.4e-04 7.8e-06 9.97e-01 1.670957036e+02 1.670959989e+02 6.4e-11 2.41
76 1.1e-07 2.2e-04 7.0e-06 1.00e+00 1.670957232e+02 1.670959888e+02 5.7e-11 2.44
77 9.8e-08 2.0e-04 6.3e-06 1.01e+00 1.670957412e+02 1.670959796e+02 5.2e-11 2.47
78 8.8e-08 1.8e-04 5.7e-06 9.99e-01 1.670957570e+02 1.670959716e+02 4.7e-11 2.50
79 8.0e-08 1.6e-04 5.1e-06 9.96e-01 1.670957712e+02 1.670959643e+02 4.2e-11 2.53
80 7.2e-08 1.4e-04 4.6e-06 9.97e-01 1.670957839e+02 1.670959578e+02 3.8e-11 2.56
81 6.5e-08 1.3e-04 4.1e-06 1.01e+00 1.670957959e+02 1.670959516e+02 3.4e-11 2.60
82 5.8e-08 1.2e-04 3.7e-06 9.89e-01 1.670958062e+02 1.670959464e+02 3.1e-11 2.63
83 5.2e-08 1.0e-04 3.3e-06 1.01e+00 1.670958157e+02 1.670959416e+02 2.8e-11 2.66
84 4.7e-08 9.4e-05 3.0e-06 1.01e+00 1.670958241e+02 1.670959372e+02 2.5e-11 2.69
85 4.2e-08 8.5e-05 2.7e-06 9.76e-01 1.670958316e+02 1.670959335e+02 2.2e-11 2.72
86 3.8e-08 7.6e-05 2.4e-06 1.01e+00 1.670958386e+02 1.670959299e+02 2.0e-11 2.76
87 3.4e-08 6.9e-05 2.2e-06 1.01e+00 1.670958449e+02 1.670959266e+02 1.8e-11 2.79
88 3.1e-08 6.2e-05 2.0e-06 1.04e+00 1.670958512e+02 1.670959233e+02 1.7e-11 2.82
89 2.8e-08 5.6e-05 1.8e-06 1.01e+00 1.670958561e+02 1.670959208e+02 1.5e-11 2.85
90 2.5e-08 5.0e-05 1.6e-06 1.02e+00 1.670958607e+02 1.670959184e+02 1.4e-11 2.88
91 2.3e-08 4.5e-05 1.4e-06 1.05e+00 1.670958655e+02 1.670959159e+02 1.3e-11 2.91
92 2.0e-08 4.1e-05 1.3e-06 9.76e-01 1.670958688e+02 1.670959142e+02 1.1e-11 2.94
93 1.8e-08 3.6e-05 1.2e-06 1.06e+00 1.670958727e+02 1.670959122e+02 1.1e-11 2.98
94 1.7e-08 3.3e-05 1.0e-06 1.07e+00 1.670958762e+02 1.670959103e+02 9.9e-12 3.01
95 1.5e-08 3.0e-05 9.4e-07 9.98e-01 1.670958784e+02 1.670959092e+02 8.9e-12 3.04
Interior-point optimizer terminated. Time: 3.04.
Optimizer terminated. Time: 3.08
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587845e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709590918e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.1 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 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 : 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 -1.281650029e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260064483e+05 3.586597968e+00 4.8e-01 0.10
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.201037415e+05 9.955030828e+00 1.9e-01 0.13
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.153210056e+05 5.962248852e+01 1.3e-01 0.16
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.127513387e+05 2.237151751e+03 1.3e-01 0.18
5 7.6e+01 9.7e+01 4.2e+03 -7.55e-01 -7.475752406e+04 9.749523764e+03 3.3e-02 0.21
6 3.7e+01 4.7e+01 2.0e+03 -2.00e-01 -4.738514976e+04 1.028817134e+04 1.6e-02 0.24
7 2.3e+01 3.0e+01 1.3e+03 2.71e-01 -3.362159042e+04 7.292168039e+03 1.0e-02 0.27
8 1.4e+01 1.7e+01 7.6e+02 5.18e-01 -2.155807140e+04 4.842491690e+03 6.0e-03 0.30
9 5.4e+00 6.9e+00 3.0e+02 7.18e-01 -8.872510911e+03 2.461233649e+03 2.4e-03 0.34
10 2.4e+00 3.1e+00 1.4e+02 9.11e-01 -3.777325205e+03 1.422692230e+03 1.1e-03 0.37
11 1.8e+00 2.3e+00 1.0e+02 9.74e-01 -2.754275733e+03 1.093074012e+03 7.9e-04 0.40
12 8.1e-01 1.0e+00 4.6e+01 9.82e-01 -1.172187253e+03 5.956572889e+02 3.6e-04 0.43
13 7.5e-01 1.1e+00 4.2e+01 9.46e-01 -1.100303259e+03 5.584999531e+02 3.4e-04 0.46
14 6.2e-01 8.9e-01 3.5e+01 9.87e-01 -8.693299890e+02 5.054054268e+02 2.8e-04 0.49
15 1.8e-01 2.9e-01 1.0e+01 9.89e-01 -1.579524852e+02 2.544986144e+02 8.4e-05 0.52
16 1.0e-01 1.8e-01 5.8e+00 1.01e+00 -1.917038280e+01 2.099840132e+02 4.7e-05 0.55
17 1.0e-01 1.8e-01 5.8e+00 1.02e+00 -1.750108652e+01 2.103208273e+02 4.7e-05 0.58
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.630738893e+01 2.107226995e+02 4.0e-05 0.61
19 4.3e-02 9.8e-02 2.5e+00 1.01e+00 9.144567348e+01 1.875633156e+02 2.0e-05 0.64
20 1.2e-02 1.6e-01 7.1e-01 1.01e+00 1.464227412e+02 1.736010724e+02 5.7e-06 0.67
21 4.7e-03 3.6e-01 2.8e-01 1.01e+00 1.584912457e+02 1.691031603e+02 2.3e-06 0.70
22 1.2e-03 1.8e-01 7.5e-02 1.01e+00 1.645724830e+02 1.674403784e+02 6.1e-07 0.73
23 6.6e-04 1.2e-01 4.1e-02 9.80e-01 1.655128090e+02 1.670779624e+02 3.4e-07 0.76
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662879384e+02 1.667831357e+02 1.1e-07 0.79
25 6.9e-05 1.0e-01 4.5e-03 1.01e+00 1.665171011e+02 1.666889251e+02 3.8e-08 0.82
26 3.1e-05 8.7e-02 2.1e-03 1.01e+00 1.665829610e+02 1.666610877e+02 1.8e-08 0.85
27 2.8e-05 7.9e-02 1.9e-03 1.01e+00 1.665892614e+02 1.666595804e+02 1.6e-08 0.88
28 2.5e-05 7.2e-02 1.7e-03 1.00e+00 1.665940967e+02 1.666573669e+02 1.4e-08 0.91
29 2.3e-05 6.6e-02 1.5e-03 1.00e+00 1.665985127e+02 1.666554475e+02 1.3e-08 0.94
30 2.0e-05 6.0e-02 1.4e-03 1.00e+00 1.666024743e+02 1.666537079e+02 1.1e-08 0.97
31 1.8e-05 5.5e-02 1.2e-03 1.00e+00 1.666060354e+02 1.666521393e+02 1.0e-08 1.00
32 1.7e-05 5.0e-02 1.1e-03 1.00e+00 1.666092355e+02 1.666507237e+02 9.3e-09 1.02
33 1.5e-05 4.6e-02 9.9e-04 1.00e+00 1.666121117e+02 1.666494467e+02 8.4e-09 1.05
34 1.3e-05 4.2e-02 8.9e-04 1.00e+00 1.666146968e+02 1.666482948e+02 7.5e-09 1.08
35 1.2e-05 3.9e-02 8.0e-04 1.00e+00 1.666170206e+02 1.666472559e+02 6.8e-09 1.11
36 1.1e-05 3.5e-02 7.2e-04 1.00e+00 1.666191095e+02 1.666463189e+02 6.1e-09 1.14
37 9.8e-06 3.3e-02 6.5e-04 1.00e+00 1.666209874e+02 1.666454739e+02 5.5e-09 1.17
38 8.8e-06 3.0e-02 5.9e-04 1.00e+00 1.666226757e+02 1.666447120e+02 5.0e-09 1.20
39 7.9e-06 2.8e-02 5.3e-04 1.00e+00 1.666241936e+02 1.666440250e+02 4.5e-09 1.24
40 7.1e-06 2.6e-02 4.7e-04 1.00e+00 1.666255584e+02 1.666434057e+02 4.0e-09 1.27
41 6.4e-06 2.4e-02 4.3e-04 1.00e+00 1.666267857e+02 1.666428473e+02 3.6e-09 1.29
42 5.8e-06 2.3e-02 3.8e-04 1.00e+00 1.666278892e+02 1.666423440e+02 3.3e-09 1.32
43 5.2e-06 2.1e-02 3.5e-04 1.00e+00 1.666288815e+02 1.666418903e+02 2.9e-09 1.34
44 4.7e-06 2.0e-02 3.1e-04 1.00e+00 1.666297738e+02 1.666414813e+02 2.6e-09 1.37
45 4.2e-06 1.9e-02 2.8e-04 1.00e+00 1.666305763e+02 1.666411127e+02 2.4e-09 1.40
46 3.8e-06 1.7e-02 2.5e-04 1.00e+00 1.666312979e+02 1.666407804e+02 2.1e-09 1.42
47 3.4e-06 1.7e-02 2.3e-04 1.00e+00 1.666319468e+02 1.666404808e+02 1.9e-09 1.46
48 3.1e-06 1.6e-02 2.0e-04 1.00e+00 1.666325302e+02 1.666402107e+02 1.7e-09 1.49
49 2.8e-06 1.5e-02 1.8e-04 1.00e+00 1.666330549e+02 1.666399672e+02 1.6e-09 1.51
50 2.5e-06 1.4e-02 1.7e-04 1.00e+00 1.666335268e+02 1.666397477e+02 1.4e-09 1.54
51 2.2e-06 1.4e-02 1.5e-04 1.00e+00 1.666339512e+02 1.666395499e+02 1.3e-09 1.57
52 2.0e-06 1.3e-02 1.3e-04 1.00e+00 1.666343328e+02 1.666393717e+02 1.1e-09 1.60
53 1.8e-06 1.2e-02 1.2e-04 1.00e+00 1.666346762e+02 1.666392110e+02 1.0e-09 1.63
54 1.6e-06 1.2e-02 1.1e-04 1.00e+00 1.666349849e+02 1.666390663e+02 9.2e-10 1.66
55 1.5e-06 1.2e-02 9.8e-05 1.00e+00 1.666352627e+02 1.666389359e+02 8.3e-10 1.68
56 1.3e-06 1.1e-02 8.8e-05 1.00e+00 1.666355125e+02 1.666388184e+02 7.4e-10 1.71
57 1.2e-06 1.1e-02 7.9e-05 1.00e+00 1.666357373e+02 1.666387125e+02 6.7e-10 1.74
58 1.1e-06 1.1e-02 7.1e-05 1.00e+00 1.666359394e+02 1.666386171e+02 6.0e-10 1.77
59 9.6e-07 1.0e-02 6.4e-05 1.00e+00 1.666361212e+02 1.666385311e+02 5.4e-10 1.80
60 8.7e-07 1.0e-02 5.8e-05 1.00e+00 1.666362847e+02 1.666384536e+02 4.9e-10 1.83
61 7.8e-07 9.9e-03 5.2e-05 1.00e+00 1.666364317e+02 1.666383837e+02 4.4e-10 1.86
62 7.0e-07 9.7e-03 4.7e-05 1.00e+00 1.666365640e+02 1.666383208e+02 4.0e-10 1.89
63 6.3e-07 9.5e-03 4.2e-05 1.00e+00 1.666366829e+02 1.666382640e+02 3.6e-10 1.92
64 5.7e-07 9.3e-03 3.8e-05 1.00e+00 1.666367899e+02 1.666382129e+02 3.2e-10 1.95
65 5.1e-07 9.2e-03 3.4e-05 1.00e+00 1.666368860e+02 1.666381667e+02 2.9e-10 1.98
66 4.6e-07 9.0e-03 3.1e-05 1.00e+00 1.666369725e+02 1.666381252e+02 2.6e-10 2.01
67 4.1e-07 8.9e-03 2.8e-05 1.00e+00 1.666370503e+02 1.666380877e+02 2.3e-10 2.03
68 3.7e-07 8.8e-03 2.5e-05 1.00e+00 1.666371202e+02 1.666380539e+02 2.1e-10 2.07
69 3.4e-07 8.7e-03 2.2e-05 1.00e+00 1.666371831e+02 1.666380234e+02 1.9e-10 2.10
70 3.0e-07 8.6e-03 2.0e-05 1.00e+00 1.666372396e+02 1.666379959e+02 1.7e-10 2.13
71 2.7e-07 8.5e-03 1.8e-05 1.00e+00 1.666372905e+02 1.666379712e+02 1.5e-10 2.16
72 2.4e-07 8.5e-03 1.6e-05 1.00e+00 1.666373363e+02 1.666379488e+02 1.4e-10 2.19
73 2.2e-07 8.4e-03 1.5e-05 9.99e-01 1.666373774e+02 1.666379288e+02 1.2e-10 2.22
74 2.0e-07 8.3e-03 1.3e-05 1.00e+00 1.666374144e+02 1.666379107e+02 1.1e-10 2.25
75 1.8e-07 8.3e-03 1.2e-05 9.98e-01 1.666374477e+02 1.666378944e+02 1.0e-10 2.28
76 1.6e-07 8.2e-03 1.1e-05 1.00e+00 1.666374777e+02 1.666378797e+02 9.1e-11 2.33
77 1.4e-07 8.2e-03 9.6e-06 1.00e+00 1.666375047e+02 1.666378664e+02 8.1e-11 2.36
78 1.3e-07 8.1e-03 8.7e-06 1.00e+00 1.666375289e+02 1.666378545e+02 7.3e-11 2.39
79 1.2e-07 8.1e-03 7.8e-06 9.99e-01 1.666375508e+02 1.666378438e+02 6.6e-11 2.42
80 1.1e-07 8.0e-03 7.0e-06 9.97e-01 1.666375704e+02 1.666378342e+02 5.9e-11 2.46
81 9.5e-08 8.0e-03 6.3e-06 9.97e-01 1.666375881e+02 1.666378255e+02 5.3e-11 2.49
82 8.5e-08 8.0e-03 5.7e-06 1.00e+00 1.666376040e+02 1.666378177e+02 4.8e-11 2.52
83 7.7e-08 7.9e-03 5.1e-06 1.00e+00 1.666376183e+02 1.666378106e+02 4.3e-11 2.55
84 6.9e-08 7.9e-03 4.6e-06 1.00e+00 1.666376312e+02 1.666378042e+02 3.9e-11 2.58
85 6.2e-08 7.9e-03 4.1e-06 1.00e+00 1.666376428e+02 1.666377985e+02 3.5e-11 2.61
86 5.6e-08 7.8e-03 3.7e-06 9.92e-01 1.666376532e+02 1.666377934e+02 3.2e-11 2.64
87 5.0e-08 7.8e-03 3.4e-06 1.00e+00 1.666376626e+02 1.666377888e+02 2.8e-11 2.68
88 4.5e-08 7.0e-03 3.0e-06 1.01e+00 1.666376713e+02 1.666377845e+02 2.6e-11 2.71
89 4.1e-08 6.3e-03 2.7e-06 9.98e-01 1.666376789e+02 1.666377807e+02 2.3e-11 2.75
90 3.7e-08 5.7e-03 2.4e-06 9.97e-01 1.666376857e+02 1.666377774e+02 2.1e-11 2.78
91 3.3e-08 5.1e-03 2.2e-06 1.00e+00 1.666376919e+02 1.666377743e+02 1.9e-11 2.81
92 3.0e-08 4.6e-03 2.0e-06 9.89e-01 1.666376975e+02 1.666377716e+02 1.7e-11 2.84
93 2.7e-08 4.1e-03 1.8e-06 9.93e-01 1.666377024e+02 1.666377692e+02 1.5e-11 2.86
94 2.4e-08 3.7e-03 1.6e-06 1.02e+00 1.666377072e+02 1.666377668e+02 1.4e-11 2.89
95 2.2e-08 3.4e-03 1.4e-06 1.02e+00 1.666377115e+02 1.666377646e+02 1.2e-11 2.92
96 2.0e-08 3.0e-03 1.3e-06 9.91e-01 1.666377151e+02 1.666377629e+02 1.1e-11 2.95
97 1.8e-08 2.7e-03 1.2e-06 9.98e-01 1.666377183e+02 1.666377613e+02 1.0e-11 2.98
98 1.6e-08 2.4e-03 1.1e-06 1.01e+00 1.666377213e+02 1.666377598e+02 9.1e-12 3.01
99 1.4e-08 2.2e-03 9.5e-07 9.85e-01 1.666377239e+02 1.666377586e+02 8.2e-12 3.04
100 1.3e-08 2.0e-03 8.5e-07 1.00e+00 1.666377262e+02 1.666377574e+02 7.4e-12 3.07
101 1.2e-08 1.8e-03 7.7e-07 1.00e+00 1.666377283e+02 1.666377564e+02 6.7e-12 3.10
102 1.0e-08 1.6e-03 6.9e-07 1.03e+00 1.666377304e+02 1.666377553e+02 6.1e-12 3.13
103 9.4e-09 1.4e-03 6.2e-07 1.03e+00 1.666377323e+02 1.666377544e+02 5.6e-12 3.16
104 8.5e-09 1.3e-03 5.6e-07 9.88e-01 1.666377338e+02 1.666377537e+02 5.0e-12 3.19
105 7.6e-09 1.2e-03 5.0e-07 9.73e-01 1.666377351e+02 1.666377530e+02 4.5e-12 3.22
106 6.9e-09 1.1e-03 4.5e-07 1.02e+00 1.666377365e+02 1.666377524e+02 4.1e-12 3.25
107 6.2e-09 9.5e-04 4.1e-07 1.07e+00 1.666377379e+02 1.666377516e+02 3.8e-12 3.28
108 5.6e-09 8.5e-04 3.7e-07 1.06e+00 1.666377390e+02 1.666377510e+02 3.5e-12 3.31
109 5.0e-09 7.7e-04 3.3e-07 1.08e+00 1.666377401e+02 1.666377505e+02 3.3e-12 3.33
110 4.6e-09 6.9e-04 3.0e-07 1.04e+00 1.666377409e+02 1.666377501e+02 3.0e-12 3.37
111 4.1e-09 6.2e-04 2.7e-07 9.55e-01 1.666377415e+02 1.666377498e+02 2.7e-12 3.40
112 2.5e-09 3.5e-05 1.5e-08 9.78e-01 1.666377468e+02 1.666377473e+02 1.8e-13 3.43
Interior-point optimizer terminated. Time: 3.43.
Optimizer terminated. Time: 3.46
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774684e+02 Viol. con: 6e-08 var: 0e+00
Dual. obj: 1.6663774731e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.48 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 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 : 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 -1.281256830e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259652927e+05 3.580273314e+00 4.8e-01 0.10
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.199460114e+05 1.005567932e+01 1.9e-01 0.13
3 2.9e+02 3.7e+02 1.6e+04 -8.41e-01 -1.152369806e+05 6.134029634e+01 1.3e-01 0.15
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.125938767e+05 2.293614017e+03 1.3e-01 0.18
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.359812942e+04 9.834627868e+03 3.2e-02 0.21
6 3.6e+01 4.5e+01 2.0e+03 -1.82e-01 -4.627587466e+04 1.009595139e+04 1.6e-02 0.25
7 2.1e+01 2.7e+01 1.2e+03 2.90e-01 -3.084203550e+04 6.881648384e+03 9.2e-03 0.27
8 1.2e+01 1.6e+01 6.7e+02 5.65e-01 -1.932392942e+04 4.483629672e+03 5.4e-03 0.30
9 4.7e+00 6.0e+00 2.6e+02 7.54e-01 -7.701994168e+03 2.174749005e+03 2.1e-03 0.34
10 2.3e+00 2.9e+00 1.3e+02 9.26e-01 -3.516866664e+03 1.397320940e+03 1.0e-03 0.37
11 1.5e+00 1.9e+00 8.4e+01 9.76e-01 -2.278057911e+03 9.686746419e+02 6.7e-04 0.40
12 8.5e-01 1.1e+00 4.7e+01 9.85e-01 -1.223620164e+03 6.225979383e+02 3.8e-04 0.43
13 7.5e-01 9.9e-01 4.2e+01 9.54e-01 -1.085112173e+03 5.622488998e+02 3.3e-04 0.46
14 3.7e-01 4.9e-01 2.1e+01 9.85e-01 -4.368184959e+02 3.757299619e+02 1.7e-04 0.49
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.425571393e+02 2.585351603e+02 8.2e-05 0.52
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 5.484303549e+00 2.044128723e+02 4.1e-05 0.55
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.455519477e+01 2.066563008e+02 4.0e-05 0.58
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 6.001216522e+01 1.948456425e+02 2.8e-05 0.62
19 2.9e-02 7.3e-02 1.7e+00 1.01e+00 1.156052365e+02 1.809648008e+02 1.4e-05 0.65
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.526398199e+02 1.716139713e+02 4.0e-06 0.68
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622522099e+02 1.679613501e+02 1.2e-06 0.72
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639807336e+02 1.674413351e+02 7.3e-07 0.75
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656593398e+02 1.668669764e+02 2.6e-07 0.78
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661981692e+02 1.666657458e+02 1.0e-07 0.81
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662345734e+02 1.666552714e+02 9.2e-08 0.84
26 1.6e-04 7.9e-02 9.9e-03 1.01e+00 1.662646310e+02 1.666431179e+02 8.3e-08 0.87
27 1.4e-04 7.2e-02 8.9e-03 1.01e+00 1.662918627e+02 1.666323887e+02 7.5e-08 0.90
28 1.3e-04 6.6e-02 8.0e-03 1.01e+00 1.663162460e+02 1.666226261e+02 6.7e-08 0.93
29 1.2e-04 6.0e-02 7.2e-03 1.01e+00 1.663381282e+02 1.666137935e+02 6.0e-08 0.97
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663577601e+02 1.666057958e+02 5.4e-08 1.00
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663753750e+02 1.665985555e+02 4.9e-08 1.03
32 8.4e-05 4.6e-02 5.3e-03 1.01e+00 1.663911809e+02 1.665920012e+02 4.4e-08 1.06
33 7.6e-05 4.2e-02 4.7e-03 1.01e+00 1.664053647e+02 1.665860687e+02 4.0e-08 1.09
34 6.8e-05 3.9e-02 4.3e-03 1.01e+00 1.664180941e+02 1.665806999e+02 3.6e-08 1.12
35 6.2e-05 3.5e-02 3.8e-03 1.01e+00 1.664295194e+02 1.665758421e+02 3.2e-08 1.15
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664397754e+02 1.665714477e+02 2.9e-08 1.18
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664489828e+02 1.665674733e+02 2.6e-08 1.21
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664572496e+02 1.665638795e+02 2.3e-08 1.24
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664646729e+02 1.665606304e+02 2.1e-08 1.28
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664713393e+02 1.665576937e+02 1.9e-08 1.31
41 3.3e-05 2.2e-02 2.0e-03 1.00e+00 1.664773267e+02 1.665550398e+02 1.7e-08 1.34
42 2.9e-05 2.1e-02 1.8e-03 1.00e+00 1.664827048e+02 1.665526420e+02 1.5e-08 1.37
43 2.6e-05 2.0e-02 1.7e-03 1.00e+00 1.664875361e+02 1.665504759e+02 1.4e-08 1.40
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664918765e+02 1.665485195e+02 1.2e-08 1.43
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664957765e+02 1.665467529e+02 1.1e-08 1.46
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664992809e+02 1.665451580e+02 1.0e-08 1.49
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665024304e+02 1.665437184e+02 9.1e-09 1.53
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665052611e+02 1.665424193e+02 8.2e-09 1.56
49 1.4e-05 1.4e-02 8.8e-04 1.00e+00 1.665078056e+02 1.665412472e+02 7.4e-09 1.59
50 1.3e-05 1.4e-02 7.9e-04 1.00e+00 1.665100931e+02 1.665401900e+02 6.6e-09 1.62
51 1.1e-05 1.3e-02 7.1e-04 1.00e+00 1.665121498e+02 1.665392366e+02 6.0e-09 1.65
52 1.0e-05 1.2e-02 6.4e-04 1.00e+00 1.665139991e+02 1.665383769e+02 5.4e-09 1.68
53 9.2e-06 1.2e-02 5.8e-04 1.00e+00 1.665156621e+02 1.665376020e+02 4.8e-09 1.71
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665171577e+02 1.665369034e+02 4.3e-09 1.74
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665185029e+02 1.665362739e+02 3.9e-09 1.77
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665197128e+02 1.665357067e+02 3.5e-09 1.81
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665208011e+02 1.665351956e+02 3.2e-09 1.84
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217800e+02 1.665347352e+02 2.9e-09 1.87
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226606e+02 1.665343203e+02 2.6e-09 1.90
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234527e+02 1.665339465e+02 2.3e-09 1.93
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241652e+02 1.665336097e+02 2.1e-09 1.97
62 3.6e-06 9.5e-03 2.2e-04 1.00e+00 1.665248061e+02 1.665333062e+02 1.9e-09 2.00
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253825e+02 1.665330326e+02 1.7e-09 2.03
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665259010e+02 1.665327861e+02 1.5e-09 2.05
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263673e+02 1.665325640e+02 1.4e-09 2.08
66 2.3e-06 9.0e-03 1.5e-04 1.00e+00 1.665267868e+02 1.665323638e+02 1.2e-09 2.11
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271642e+02 1.665321835e+02 1.1e-09 2.14
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665275036e+02 1.665320211e+02 1.0e-09 2.17
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665278090e+02 1.665318747e+02 9.0e-10 2.20
70 1.5e-06 8.6e-03 9.6e-05 1.00e+00 1.665280838e+02 1.665317429e+02 8.1e-10 2.23
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283309e+02 1.665316242e+02 7.3e-10 2.26
72 1.2e-06 8.5e-03 7.8e-05 1.00e+00 1.665285533e+02 1.665315172e+02 6.5e-10 2.29
73 1.1e-06 8.5e-03 7.0e-05 1.00e+00 1.665287533e+02 1.665314208e+02 5.9e-10 2.32
74 1.0e-06 8.4e-03 6.3e-05 1.00e+00 1.665289332e+02 1.665313340e+02 5.3e-10 2.35
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290950e+02 1.665312558e+02 4.8e-10 2.38
76 8.2e-07 8.3e-03 5.1e-05 1.00e+00 1.665292406e+02 1.665311853e+02 4.3e-10 2.40
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293715e+02 1.665311218e+02 3.9e-10 2.43
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294893e+02 1.665310646e+02 3.5e-10 2.46
79 6.0e-07 8.2e-03 3.7e-05 1.00e+00 1.665295952e+02 1.665310129e+02 3.1e-10 2.49
80 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.665296904e+02 1.665309664e+02 2.8e-10 2.52
81 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.665297761e+02 1.665309245e+02 2.5e-10 2.55
82 4.4e-07 8.1e-03 2.7e-05 1.00e+00 1.665298531e+02 1.665308867e+02 2.3e-10 2.58
83 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.665299224e+02 1.665308526e+02 2.1e-10 2.60
84 3.5e-07 8.0e-03 2.2e-05 1.00e+00 1.665299847e+02 1.665308219e+02 1.8e-10 2.63
85 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.665300407e+02 1.665307941e+02 1.7e-10 2.66
86 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.665300911e+02 1.665307692e+02 1.5e-10 2.70
87 2.6e-07 8.0e-03 1.6e-05 9.99e-01 1.665301364e+02 1.665307467e+02 1.3e-10 2.72
88 2.3e-07 7.9e-03 1.4e-05 9.99e-01 1.665301771e+02 1.665307265e+02 1.2e-10 2.74
89 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.665302138e+02 1.665307082e+02 1.1e-10 2.77
90 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.665302468e+02 1.665306918e+02 9.8e-11 2.80
91 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.665302765e+02 1.665306769e+02 8.8e-11 2.83
92 1.5e-07 7.9e-03 9.5e-06 1.00e+00 1.665303032e+02 1.665306636e+02 7.9e-11 2.86
93 1.4e-07 7.9e-03 8.6e-06 1.00e+00 1.665303272e+02 1.665306516e+02 7.2e-11 2.89
94 1.2e-07 7.8e-03 7.7e-06 1.00e+00 1.665303488e+02 1.665306407e+02 6.4e-11 2.91
95 1.1e-07 7.8e-03 6.9e-06 1.00e+00 1.665303683e+02 1.665306310e+02 5.8e-11 2.94
96 1.0e-07 7.8e-03 6.2e-06 1.00e+00 1.665303858e+02 1.665306222e+02 5.2e-11 2.98
97 9.0e-08 7.8e-03 5.6e-06 1.00e+00 1.665304015e+02 1.665306143e+02 4.7e-11 3.01
98 8.1e-08 7.8e-03 5.1e-06 1.00e+00 1.665304157e+02 1.665306072e+02 4.2e-11 3.03
99 7.3e-08 7.0e-03 4.5e-06 1.01e+00 1.665304287e+02 1.665306006e+02 3.8e-11 3.06
100 6.5e-08 6.3e-03 4.1e-06 1.00e+00 1.665304402e+02 1.665305949e+02 3.4e-11 3.09
101 5.9e-08 5.7e-03 3.7e-06 9.92e-01 1.665304505e+02 1.665305898e+02 3.1e-11 3.12
102 5.3e-08 5.1e-03 3.3e-06 9.93e-01 1.665304597e+02 1.665305851e+02 2.8e-11 3.15
103 4.8e-08 4.6e-03 3.0e-06 9.98e-01 1.665304681e+02 1.665305810e+02 2.5e-11 3.17
104 4.3e-08 4.1e-03 2.7e-06 1.00e+00 1.665304756e+02 1.665305772e+02 2.2e-11 3.20
105 3.9e-08 3.7e-03 2.4e-06 9.94e-01 1.665304823e+02 1.665305738e+02 2.0e-11 3.25
106 3.5e-08 3.3e-03 2.2e-06 9.96e-01 1.665304884e+02 1.665305707e+02 1.8e-11 3.27
107 3.1e-08 3.0e-03 2.0e-06 1.00e+00 1.665304939e+02 1.665305680e+02 1.6e-11 3.30
108 2.8e-08 2.7e-03 1.8e-06 9.89e-01 1.665304989e+02 1.665305655e+02 1.5e-11 3.33
109 2.5e-08 2.4e-03 1.6e-06 9.92e-01 1.665305033e+02 1.665305633e+02 1.3e-11 3.37
110 2.3e-08 2.2e-03 1.4e-06 9.89e-01 1.665305073e+02 1.665305613e+02 1.2e-11 3.40
111 2.1e-08 2.0e-03 1.3e-06 1.02e+00 1.665305111e+02 1.665305593e+02 1.1e-11 3.42
112 1.8e-08 1.8e-03 1.2e-06 1.01e+00 1.665305144e+02 1.665305577e+02 9.8e-12 3.45
113 1.7e-08 1.6e-03 1.0e-06 1.03e+00 1.665305177e+02 1.665305560e+02 8.9e-12 3.48
114 1.5e-08 1.4e-03 9.4e-07 9.92e-01 1.665305202e+02 1.665305547e+02 8.1e-12 3.51
115 1.3e-08 1.3e-03 8.4e-07 9.69e-01 1.665305225e+02 1.665305536e+02 7.2e-12 3.54
116 1.2e-08 1.2e-03 7.6e-07 1.01e+00 1.665305246e+02 1.665305525e+02 6.5e-12 3.57
117 1.1e-08 1.0e-03 6.8e-07 9.58e-01 1.665305265e+02 1.665305516e+02 5.9e-12 3.60
118 9.8e-09 9.4e-04 6.1e-07 9.60e-01 1.665305281e+02 1.665305508e+02 5.3e-12 3.63
119 8.8e-09 8.5e-04 5.5e-07 1.01e+00 1.665305297e+02 1.665305500e+02 4.8e-12 3.66
120 8.0e-09 7.6e-04 5.0e-07 9.63e-01 1.665305310e+02 1.665305494e+02 4.3e-12 3.69
121 7.2e-09 6.9e-04 4.5e-07 1.01e+00 1.665305323e+02 1.665305487e+02 3.9e-12 3.72
122 6.5e-09 6.2e-04 4.0e-07 9.96e-01 1.665305334e+02 1.665305482e+02 3.5e-12 3.75
123 5.8e-09 5.6e-04 3.6e-07 9.86e-01 1.665305344e+02 1.665305477e+02 3.2e-12 3.78
124 5.3e-09 5.0e-04 3.3e-07 9.60e-01 1.665305352e+02 1.665305473e+02 2.8e-12 3.81
125 4.8e-09 4.5e-04 2.9e-07 9.93e-01 1.665305360e+02 1.665305469e+02 2.6e-12 3.84
126 4.3e-09 4.1e-04 2.6e-07 9.80e-01 1.665305367e+02 1.665305465e+02 2.3e-12 3.87
127 3.9e-09 3.7e-04 2.4e-07 1.15e+00 1.665305378e+02 1.665305459e+02 2.2e-12 3.90
128 3.5e-09 3.3e-04 2.1e-07 9.90e-01 1.665305384e+02 1.665305456e+02 2.0e-12 3.93
129 3.2e-09 3.0e-04 1.9e-07 8.86e-01 1.665305388e+02 1.665305454e+02 1.8e-12 3.96
130 2.9e-09 2.7e-04 1.7e-07 1.00e+00 1.665305393e+02 1.665305452e+02 1.6e-12 3.99
131 6.5e-10 2.8e-05 1.8e-08 1.00e+00 1.665305428e+02 1.665305434e+02 1.7e-13 4.02
Interior-point optimizer terminated. Time: 4.02.
Optimizer terminated. Time: 4.05
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054276e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6653054339e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.07 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 -1.281219225e+05 2.000000000e+00 1.0e+00 0.10
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259510014e+05 3.575672616e+00 4.8e-01 0.78
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.198708232e+05 1.013510754e+01 1.9e-01 0.83
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.151566203e+05 6.242813677e+01 1.2e-01 0.87
4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125385078e+05 2.273177145e+03 1.2e-01 0.90
5 7.5e+01 9.6e+01 4.1e+03 -7.53e-01 -7.445640398e+04 9.639291036e+03 3.3e-02 0.93
6 3.3e+01 4.2e+01 1.8e+03 -1.95e-01 -4.330198985e+04 1.030587633e+04 1.4e-02 0.95
7 1.9e+01 2.5e+01 1.1e+03 3.42e-01 -2.853339987e+04 6.914904024e+03 8.5e-03 0.98
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.808895427e+04 4.388512525e+03 5.0e-03 1.01
9 4.5e+00 5.7e+00 2.5e+02 7.74e-01 -7.326196789e+03 2.100233078e+03 2.0e-03 1.04
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.203281751e+03 1.327240909e+03 9.3e-04 1.07
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.002130366e+03 8.889970518e+02 6.0e-04 1.10
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.160054298e+03 6.061252337e+02 3.6e-04 1.13
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.074290206e+02 5.061578287e+02 2.9e-04 1.16
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.159485519e+02 3.800102217e+02 1.6e-04 1.19
15 1.8e-01 2.4e-01 9.9e+00 9.93e-01 -1.329938297e+02 2.580936012e+02 8.0e-05 1.22
16 7.9e-02 1.3e-01 4.5e+00 1.01e+00 2.194718319e+01 1.995888148e+02 3.7e-05 1.25
17 6.8e-02 1.1e-01 3.9e+00 1.02e+00 4.516537444e+01 1.977876453e+02 3.2e-05 1.30
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.183222794e+02 1.806140605e+02 1.3e-05 1.33
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.533659609e+02 1.714095325e+02 3.8e-06 1.36
20 2.9e-03 2.4e-01 1.7e-01 1.00e+00 1.613685607e+02 1.680688805e+02 1.4e-06 1.39
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635977571e+02 1.674592356e+02 8.2e-07 1.42
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656258735e+02 1.668059027e+02 2.6e-07 1.44
23 1.8e-04 1.1e-01 1.1e-02 1.01e+00 1.661711778e+02 1.666014993e+02 9.5e-08 1.47
24 8.3e-05 8.8e-02 5.3e-03 1.01e+00 1.663352916e+02 1.665344421e+02 4.4e-08 1.50
25 3.7e-05 8.0e-02 2.4e-03 1.01e+00 1.664121380e+02 1.665025050e+02 2.0e-08 1.53
26 3.4e-05 7.3e-02 2.2e-03 1.01e+00 1.664199858e+02 1.665013383e+02 1.8e-08 1.56
27 3.0e-05 6.6e-02 1.9e-03 1.01e+00 1.664255071e+02 1.664986965e+02 1.6e-08 1.59
28 2.7e-05 6.1e-02 1.7e-03 1.01e+00 1.664305979e+02 1.664964542e+02 1.5e-08 1.62
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664351532e+02 1.664944115e+02 1.3e-08 1.65
30 2.2e-05 5.0e-02 1.4e-03 1.01e+00 1.664392479e+02 1.664925705e+02 1.2e-08 1.67
31 2.0e-05 4.6e-02 1.3e-03 1.00e+00 1.664429258e+02 1.664909081e+02 1.1e-08 1.70
32 1.8e-05 4.2e-02 1.1e-03 1.00e+00 1.664462304e+02 1.664894078e+02 9.7e-09 1.73
33 1.6e-05 3.9e-02 1.0e-03 1.00e+00 1.664491997e+02 1.664880540e+02 8.7e-09 1.76
34 1.5e-05 3.6e-02 9.3e-04 1.00e+00 1.664518681e+02 1.664868326e+02 7.8e-09 1.79
35 1.3e-05 3.3e-02 8.3e-04 1.00e+00 1.664542663e+02 1.664857309e+02 7.1e-09 1.82
36 1.2e-05 3.0e-02 7.5e-04 1.00e+00 1.664564220e+02 1.664847372e+02 6.4e-09 1.85
37 1.1e-05 2.8e-02 6.8e-04 1.00e+00 1.664583598e+02 1.664838412e+02 5.7e-09 1.87
38 9.5e-06 2.6e-02 6.1e-04 1.00e+00 1.664601020e+02 1.664830334e+02 5.2e-09 1.90
39 8.6e-06 2.4e-02 5.5e-04 1.00e+00 1.664616684e+02 1.664823052e+02 4.6e-09 1.93
40 7.7e-06 2.3e-02 4.9e-04 1.00e+00 1.664630770e+02 1.664816489e+02 4.2e-09 1.96
41 6.9e-06 2.1e-02 4.4e-04 1.00e+00 1.664643437e+02 1.664810575e+02 3.8e-09 1.99
42 6.3e-06 2.0e-02 4.0e-04 1.00e+00 1.664654829e+02 1.664805246e+02 3.4e-09 2.02
43 5.6e-06 1.9e-02 3.6e-04 1.00e+00 1.664665076e+02 1.664800445e+02 3.0e-09 2.05
44 5.1e-06 1.7e-02 3.2e-04 1.00e+00 1.664674292e+02 1.664796120e+02 2.7e-09 2.07
45 4.6e-06 1.6e-02 2.9e-04 1.00e+00 1.664682583e+02 1.664792224e+02 2.5e-09 2.10
46 4.1e-06 1.6e-02 2.6e-04 1.00e+00 1.664690040e+02 1.664788715e+02 2.2e-09 2.13
47 3.7e-06 1.5e-02 2.4e-04 1.00e+00 1.664696749e+02 1.664785554e+02 2.0e-09 2.16
48 3.3e-06 1.4e-02 2.1e-04 1.00e+00 1.664702784e+02 1.664782706e+02 1.8e-09 2.19
49 3.0e-06 1.3e-02 1.9e-04 1.00e+00 1.664708213e+02 1.664780142e+02 1.6e-09 2.22
50 2.7e-06 1.3e-02 1.7e-04 1.00e+00 1.664713097e+02 1.664777832e+02 1.5e-09 2.25
51 2.4e-06 1.2e-02 1.5e-04 1.00e+00 1.664717491e+02 1.664775752e+02 1.3e-09 2.27
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664721445e+02 1.664773879e+02 1.2e-09 2.30
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664725003e+02 1.664772193e+02 1.1e-09 2.33
54 1.8e-06 1.1e-02 1.1e-04 1.00e+00 1.664728205e+02 1.664770676e+02 9.6e-10 2.36
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664731087e+02 1.664769310e+02 8.6e-10 2.39
56 1.4e-06 1.0e-02 9.1e-05 1.00e+00 1.664733680e+02 1.664768081e+02 7.7e-10 2.42
57 1.3e-06 1.0e-02 8.2e-05 1.00e+00 1.664736013e+02 1.664766974e+02 7.0e-10 2.45
58 1.2e-06 9.9e-03 7.4e-05 1.00e+00 1.664738113e+02 1.664765978e+02 6.3e-10 2.48
59 1.0e-06 9.6e-03 6.7e-05 1.00e+00 1.664740003e+02 1.664765081e+02 5.6e-10 2.50
60 9.4e-07 9.4e-03 6.0e-05 1.00e+00 1.664741704e+02 1.664764274e+02 5.1e-10 2.53
61 8.4e-07 9.3e-03 5.4e-05 1.00e+00 1.664743235e+02 1.664763547e+02 4.6e-10 2.56
62 7.6e-07 9.1e-03 4.9e-05 1.00e+00 1.664744612e+02 1.664762893e+02 4.1e-10 2.59
63 6.8e-07 8.9e-03 4.4e-05 1.00e+00 1.664745851e+02 1.664762304e+02 3.7e-10 2.62
64 6.2e-07 8.8e-03 3.9e-05 1.00e+00 1.664746965e+02 1.664761773e+02 3.3e-10 2.65
65 5.5e-07 8.7e-03 3.5e-05 1.00e+00 1.664747968e+02 1.664761295e+02 3.0e-10 2.68
66 5.0e-07 8.6e-03 3.2e-05 1.00e+00 1.664748871e+02 1.664760865e+02 2.7e-10 2.70
67 4.5e-07 8.5e-03 2.9e-05 1.00e+00 1.664749682e+02 1.664760477e+02 2.4e-10 2.73
68 4.0e-07 8.4e-03 2.6e-05 1.00e+00 1.664750412e+02 1.664760127e+02 2.2e-10 2.76
69 3.6e-07 8.3e-03 2.3e-05 1.00e+00 1.664751069e+02 1.664759813e+02 2.0e-10 2.79
70 3.3e-07 8.2e-03 2.1e-05 1.00e+00 1.664751660e+02 1.664759529e+02 1.8e-10 2.82
71 2.9e-07 8.2e-03 1.9e-05 1.00e+00 1.664752191e+02 1.664759273e+02 1.6e-10 2.85
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752669e+02 1.664759042e+02 1.4e-10 2.88
73 2.4e-07 8.1e-03 1.5e-05 1.00e+00 1.664753100e+02 1.664758835e+02 1.3e-10 2.90
74 2.1e-07 8.0e-03 1.4e-05 1.00e+00 1.664753487e+02 1.664758648e+02 1.2e-10 2.93
75 1.9e-07 8.0e-03 1.2e-05 9.99e-01 1.664753835e+02 1.664758481e+02 1.0e-10 2.96
76 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.664754148e+02 1.664758329e+02 9.4e-11 2.99
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754430e+02 1.664758193e+02 8.5e-11 3.02
78 1.4e-07 7.9e-03 9.0e-06 1.00e+00 1.664754686e+02 1.664758069e+02 7.6e-11 3.05
79 1.3e-07 7.9e-03 8.1e-06 1.01e+00 1.664754917e+02 1.664757957e+02 6.9e-11 3.08
80 1.1e-07 7.8e-03 7.3e-06 1.00e+00 1.664755122e+02 1.664757858e+02 6.2e-11 3.10
81 1.0e-07 7.8e-03 6.6e-06 1.00e+00 1.664755306e+02 1.664757769e+02 5.6e-11 3.13
82 9.2e-08 7.8e-03 5.9e-06 9.96e-01 1.664755472e+02 1.664757689e+02 5.0e-11 3.16
83 8.3e-08 7.0e-03 5.3e-06 1.01e+00 1.664755625e+02 1.664757614e+02 4.5e-11 3.19
84 7.5e-08 6.3e-03 4.8e-06 1.00e+00 1.664755759e+02 1.664757549e+02 4.1e-11 3.22
85 6.7e-08 5.7e-03 4.3e-06 1.00e+00 1.664755881e+02 1.664757490e+02 3.7e-11 3.25
86 6.1e-08 5.1e-03 3.9e-06 9.93e-01 1.664755989e+02 1.664757438e+02 3.3e-11 3.28
87 5.5e-08 4.6e-03 3.5e-06 9.99e-01 1.664756087e+02 1.664757391e+02 3.0e-11 3.32
88 4.9e-08 4.1e-03 3.1e-06 9.98e-01 1.664756175e+02 1.664757348e+02 2.7e-11 3.35
89 4.4e-08 3.7e-03 2.8e-06 9.97e-01 1.664756254e+02 1.664757310e+02 2.4e-11 3.38
90 4.0e-08 3.3e-03 2.5e-06 1.01e+00 1.664756327e+02 1.664757275e+02 2.2e-11 3.41
91 3.6e-08 3.0e-03 2.3e-06 1.01e+00 1.664756394e+02 1.664757242e+02 2.0e-11 3.44
92 3.2e-08 2.7e-03 2.1e-06 9.98e-01 1.664756451e+02 1.664757214e+02 1.8e-11 3.47
93 2.9e-08 2.4e-03 1.9e-06 1.01e+00 1.664756505e+02 1.664757188e+02 1.6e-11 3.50
94 2.6e-08 2.2e-03 1.7e-06 9.91e-01 1.664756551e+02 1.664757166e+02 1.4e-11 3.54
95 2.3e-08 2.0e-03 1.5e-06 9.85e-01 1.664756593e+02 1.664757146e+02 1.3e-11 3.57
96 2.1e-08 1.8e-03 1.4e-06 1.00e+00 1.664756630e+02 1.664757127e+02 1.2e-11 3.59
97 1.9e-08 1.6e-03 1.2e-06 9.87e-01 1.664756664e+02 1.664757111e+02 1.1e-11 3.62
98 1.7e-08 1.4e-03 1.1e-06 1.02e+00 1.664756697e+02 1.664757095e+02 9.6e-12 3.64
99 1.5e-08 1.3e-03 9.8e-07 9.82e-01 1.664756724e+02 1.664757082e+02 8.6e-12 3.67
100 1.4e-08 1.2e-03 8.9e-07 9.81e-01 1.664756748e+02 1.664757071e+02 7.8e-12 3.70
101 1.2e-08 1.0e-03 8.0e-07 9.92e-01 1.664756770e+02 1.664757060e+02 7.0e-12 3.73
102 1.1e-08 9.4e-04 7.2e-07 1.02e+00 1.664756791e+02 1.664757050e+02 6.4e-12 3.76
103 1.0e-08 8.5e-04 6.5e-07 1.05e+00 1.664756813e+02 1.664757039e+02 5.9e-12 3.79
104 2.0e-09 8.7e-05 6.6e-08 9.92e-01 1.664756950e+02 1.664756973e+02 6.2e-13 3.82
Interior-point optimizer terminated. Time: 3.82.
Optimizer terminated. Time: 3.87
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569499e+02 Viol. con: 5e-08 var: 0e+00
Dual. obj: 1.6647569731e+02 Viol. con: 0e+00 var: 6e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.89 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.06 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280507087e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258771625e+05 3.574359808e+00 4.8e-01 0.16
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197602115e+05 1.017425428e+01 1.9e-01 0.19
3 2.9e+02 3.6e+02 1.6e+04 -8.40e-01 -1.150415156e+05 6.302662967e+01 1.2e-01 0.22
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124385254e+05 2.261511463e+03 1.2e-01 0.25
5 7.5e+01 9.6e+01 4.2e+03 -7.52e-01 -7.457723042e+04 9.579688907e+03 3.3e-02 0.28
6 3.0e+01 3.8e+01 1.7e+03 -1.97e-01 -4.046192974e+04 1.027494877e+04 1.3e-02 0.31
7 1.8e+01 2.3e+01 1.0e+03 3.92e-01 -2.694175169e+04 6.671792990e+03 7.9e-03 0.34
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.557332921e+04 3.882110617e+03 4.3e-03 0.37
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.391546663e+03 1.890777990e+03 1.7e-03 0.40
10 2.1e+00 2.6e+00 1.2e+02 9.41e-01 -3.269338996e+03 1.203686509e+03 9.2e-04 0.43
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.531728678e+03 7.332099487e+02 4.7e-04 0.46
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.183153662e+03 6.026764145e+02 3.6e-04 0.49
13 4.8e-01 6.1e-01 2.7e+01 9.74e-01 -6.439282029e+02 4.230717526e+02 2.2e-04 0.52
14 2.7e-01 3.5e-01 1.5e+01 1.00e+00 -2.812256489e+02 3.129610308e+02 1.2e-04 0.55
15 9.6e-02 1.5e-01 5.4e+00 1.00e+00 -7.783179659e+00 2.065094520e+02 4.4e-05 0.58
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.588766220e+01 2.085235854e+02 4.0e-05 0.61
17 5.7e-02 9.1e-02 3.3e+00 1.02e+00 6.584310357e+01 1.938303938e+02 2.7e-05 0.64
18 2.7e-02 7.0e-02 1.6e+00 1.02e+00 1.193993049e+02 1.796951587e+02 1.3e-05 0.67
19 7.7e-03 1.9e-01 4.5e-01 1.02e+00 1.539651162e+02 1.710727735e+02 3.6e-06 0.70
20 3.1e-03 2.3e-01 1.8e-01 1.01e+00 1.611160428e+02 1.680967445e+02 1.5e-06 0.73
21 1.8e-03 1.4e-01 1.1e-01 1.01e+00 1.633747617e+02 1.674649657e+02 8.7e-07 0.76
22 5.3e-04 1.3e-01 3.3e-02 1.01e+00 1.655448731e+02 1.667967134e+02 2.7e-07 0.79
23 3.8e-04 1.1e-01 2.4e-02 9.97e-01 1.658043697e+02 1.666959583e+02 1.9e-07 0.82
24 2.1e-04 7.7e-02 1.3e-02 9.85e-01 1.660854029e+02 1.665889141e+02 1.1e-07 0.85
25 1.8e-04 6.6e-02 1.1e-02 1.00e+00 1.661391564e+02 1.665725893e+02 9.5e-08 0.88
26 1.7e-04 6.0e-02 1.0e-02 1.01e+00 1.661713296e+02 1.665611572e+02 8.5e-08 0.91
27 1.5e-04 5.5e-02 9.2e-03 1.01e+00 1.661989147e+02 1.665496379e+02 7.7e-08 0.94
28 1.3e-04 5.0e-02 8.3e-03 1.01e+00 1.662238870e+02 1.665394629e+02 6.9e-08 0.97
29 1.2e-04 4.6e-02 7.5e-03 1.01e+00 1.662462536e+02 1.665302117e+02 6.2e-08 1.00
30 1.1e-04 4.2e-02 6.7e-03 1.01e+00 1.662663281e+02 1.665218413e+02 5.6e-08 1.04
31 9.8e-05 3.9e-02 6.1e-03 1.01e+00 1.662843410e+02 1.665142630e+02 5.0e-08 1.07
32 8.8e-05 3.5e-02 5.5e-03 1.01e+00 1.663005057e+02 1.665074033e+02 4.5e-08 1.10
33 7.9e-05 3.3e-02 4.9e-03 1.00e+00 1.663150123e+02 1.665011940e+02 4.1e-08 1.13
34 7.1e-05 3.0e-02 4.4e-03 1.00e+00 1.663280316e+02 1.664955740e+02 3.7e-08 1.16
35 6.4e-05 2.8e-02 4.0e-03 1.00e+00 1.663397167e+02 1.664904880e+02 3.3e-08 1.19
36 5.8e-05 2.6e-02 3.6e-03 1.00e+00 1.663502052e+02 1.664858859e+02 3.0e-08 1.22
37 5.2e-05 2.4e-02 3.2e-03 1.00e+00 1.663596207e+02 1.664817225e+02 2.7e-08 1.25
38 4.7e-05 2.2e-02 2.9e-03 1.00e+00 1.663680737e+02 1.664779567e+02 2.4e-08 1.28
39 4.2e-05 2.1e-02 2.6e-03 1.00e+00 1.663756635e+02 1.664745514e+02 2.2e-08 1.31
40 3.8e-05 2.0e-02 2.4e-03 1.00e+00 1.663824790e+02 1.664714727e+02 2.0e-08 1.34
41 3.4e-05 1.8e-02 2.1e-03 1.00e+00 1.663885997e+02 1.664686898e+02 1.8e-08 1.39
42 3.1e-05 1.7e-02 1.9e-03 1.00e+00 1.663940970e+02 1.664661748e+02 1.6e-08 1.42
43 2.8e-05 1.6e-02 1.7e-03 1.00e+00 1.663990348e+02 1.664639022e+02 1.4e-08 1.45
44 2.5e-05 1.5e-02 1.5e-03 1.00e+00 1.664034704e+02 1.664618490e+02 1.3e-08 1.48
45 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664074551e+02 1.664599943e+02 1.2e-08 1.51
46 2.0e-05 1.4e-02 1.3e-03 1.00e+00 1.664110350e+02 1.664583191e+02 1.0e-08 1.54
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664142514e+02 1.664568063e+02 9.4e-09 1.56
48 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664171415e+02 1.664554402e+02 8.4e-09 1.59
49 1.5e-05 1.2e-02 9.1e-04 1.00e+00 1.664197385e+02 1.664542069e+02 7.6e-09 1.63
50 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664220723e+02 1.664530935e+02 6.8e-09 1.67
51 1.2e-05 1.1e-02 7.4e-04 1.00e+00 1.664241697e+02 1.664520886e+02 6.2e-09 1.70
52 1.1e-05 1.1e-02 6.6e-04 1.00e+00 1.664260548e+02 1.664511817e+02 5.5e-09 1.73
53 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664277492e+02 1.664503633e+02 5.0e-09 1.76
54 8.7e-06 1.0e-02 5.4e-04 1.00e+00 1.664292723e+02 1.664496250e+02 4.5e-09 1.79
55 7.8e-06 1.0e-02 4.8e-04 1.00e+00 1.664306415e+02 1.664489589e+02 4.0e-09 1.82
56 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318724e+02 1.664483581e+02 3.6e-09 1.85
57 6.3e-06 9.8e-03 3.9e-04 1.00e+00 1.664329790e+02 1.664478163e+02 3.3e-09 1.89
58 5.7e-06 9.6e-03 3.5e-04 1.00e+00 1.664339741e+02 1.664473276e+02 2.9e-09 1.92
59 5.1e-06 9.4e-03 3.2e-04 1.00e+00 1.664348687e+02 1.664468870e+02 2.7e-09 1.95
60 4.6e-06 9.3e-03 2.9e-04 1.00e+00 1.664356732e+02 1.664464897e+02 2.4e-09 1.98
61 4.1e-06 9.1e-03 2.6e-04 1.00e+00 1.664363966e+02 1.664461315e+02 2.1e-09 2.01
62 3.7e-06 9.0e-03 2.3e-04 1.00e+00 1.664370470e+02 1.664458085e+02 1.9e-09 2.04
63 3.4e-06 8.9e-03 2.1e-04 1.00e+00 1.664376319e+02 1.664455174e+02 1.7e-09 2.07
64 3.0e-06 8.8e-03 1.9e-04 1.00e+00 1.664381579e+02 1.664452548e+02 1.6e-09 2.10
65 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386309e+02 1.664450182e+02 1.4e-09 2.13
66 2.4e-06 8.6e-03 1.5e-04 1.00e+00 1.664390564e+02 1.664448050e+02 1.3e-09 2.15
67 2.2e-06 8.5e-03 1.4e-04 1.00e+00 1.664394390e+02 1.664446129e+02 1.1e-09 2.18
68 2.0e-06 8.4e-03 1.2e-04 1.00e+00 1.664397833e+02 1.664444398e+02 1.0e-09 2.21
69 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400930e+02 1.664442839e+02 9.2e-10 2.25
70 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403716e+02 1.664441434e+02 8.3e-10 2.28
71 1.4e-06 8.2e-03 9.0e-05 1.00e+00 1.664406222e+02 1.664440169e+02 7.5e-10 2.31
72 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408477e+02 1.664439030e+02 6.7e-10 2.34
73 1.2e-06 8.1e-03 7.3e-05 1.00e+00 1.664410506e+02 1.664438003e+02 6.1e-10 2.37
74 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412331e+02 1.664437079e+02 5.5e-10 2.40
75 9.5e-07 8.0e-03 5.9e-05 1.00e+00 1.664413973e+02 1.664436247e+02 4.9e-10 2.43
76 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415450e+02 1.664435497e+02 4.4e-10 2.46
77 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416779e+02 1.664434821e+02 4.0e-10 2.49
78 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417975e+02 1.664434213e+02 3.6e-10 2.52
79 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419050e+02 1.664433665e+02 3.2e-10 2.55
80 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664420018e+02 1.664433171e+02 2.9e-10 2.58
81 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420888e+02 1.664432726e+02 2.6e-10 2.61
82 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421671e+02 1.664432326e+02 2.4e-10 2.64
83 4.1e-07 7.8e-03 2.5e-05 1.00e+00 1.664422375e+02 1.664431964e+02 2.1e-10 2.67
84 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664423009e+02 1.664431639e+02 1.9e-10 2.70
85 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423579e+02 1.664431346e+02 1.7e-10 2.73
86 3.0e-07 7.7e-03 1.9e-05 1.00e+00 1.664424092e+02 1.664431083e+02 1.5e-10 2.76
87 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424554e+02 1.664430845e+02 1.4e-10 2.79
88 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424969e+02 1.664430631e+02 1.3e-10 2.82
89 2.2e-07 7.7e-03 1.3e-05 9.99e-01 1.664425343e+02 1.664430439e+02 1.1e-10 2.85
90 2.0e-07 7.6e-03 1.2e-05 1.00e+00 1.664425679e+02 1.664430266e+02 1.0e-10 2.88
91 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425982e+02 1.664430110e+02 9.1e-11 2.93
92 1.6e-07 7.6e-03 9.8e-06 1.00e+00 1.664426255e+02 1.664429970e+02 8.2e-11 2.97
93 1.4e-07 7.6e-03 8.9e-06 9.99e-01 1.664426500e+02 1.664429844e+02 7.4e-11 3.00
94 1.3e-07 7.6e-03 8.0e-06 1.00e+00 1.664426721e+02 1.664429730e+02 6.6e-11 3.03
95 1.2e-07 7.6e-03 7.2e-06 1.00e+00 1.664426920e+02 1.664429627e+02 6.0e-11 3.06
96 1.0e-07 7.6e-03 6.5e-06 1.00e+00 1.664427099e+02 1.664429535e+02 5.4e-11 3.09
97 9.3e-08 7.5e-03 5.8e-06 9.98e-01 1.664427259e+02 1.664429453e+02 4.8e-11 3.12
98 8.4e-08 7.5e-03 5.2e-06 9.93e-01 1.664427404e+02 1.664429379e+02 4.4e-11 3.15
99 7.6e-08 7.5e-03 4.7e-06 1.00e+00 1.664427535e+02 1.664429312e+02 3.9e-11 3.18
100 6.8e-08 7.5e-03 4.2e-06 9.96e-01 1.664427652e+02 1.664429252e+02 3.5e-11 3.21
101 6.1e-08 6.7e-03 3.8e-06 1.00e+00 1.664427758e+02 1.664429197e+02 3.2e-11 3.24
102 5.5e-08 6.1e-03 3.4e-06 1.00e+00 1.664427853e+02 1.664429148e+02 2.9e-11 3.27
103 5.0e-08 5.5e-03 3.1e-06 1.00e+00 1.664427939e+02 1.664429104e+02 2.6e-11 3.30
104 4.5e-08 4.9e-03 2.8e-06 9.95e-01 1.664428016e+02 1.664429064e+02 2.3e-11 3.33
105 4.0e-08 4.4e-03 2.5e-06 1.00e+00 1.664428085e+02 1.664429029e+02 2.1e-11 3.36
106 3.6e-08 4.0e-03 2.3e-06 9.87e-01 1.664428147e+02 1.664428997e+02 1.9e-11 3.39
107 3.3e-08 3.6e-03 2.0e-06 9.80e-01 1.664428203e+02 1.664428969e+02 1.7e-11 3.42
108 2.9e-08 3.2e-03 1.8e-06 9.92e-01 1.664428254e+02 1.664428943e+02 1.5e-11 3.44
109 2.6e-08 2.9e-03 1.6e-06 1.03e+00 1.664428304e+02 1.664428916e+02 1.4e-11 3.47
110 2.4e-08 2.6e-03 1.5e-06 9.71e-01 1.664428345e+02 1.664428896e+02 1.2e-11 3.50
111 2.1e-08 2.4e-03 1.3e-06 1.03e+00 1.664428386e+02 1.664428874e+02 1.1e-11 3.52
112 1.9e-08 2.1e-03 1.2e-06 9.76e-01 1.664428418e+02 1.664428857e+02 1.0e-11 3.55
113 1.7e-08 1.9e-03 1.1e-06 1.03e+00 1.664428451e+02 1.664428840e+02 9.3e-12 3.58
114 1.6e-08 1.7e-03 9.7e-07 9.85e-01 1.664428476e+02 1.664428827e+02 8.4e-12 3.61
115 1.4e-08 1.5e-03 8.7e-07 1.10e+00 1.664428510e+02 1.664428808e+02 7.9e-12 3.64
116 1.3e-08 1.4e-03 7.8e-07 1.05e+00 1.664428535e+02 1.664428795e+02 7.3e-12 3.67
117 1.2e-08 1.2e-03 7.1e-07 1.15e+00 1.664428564e+02 1.664428778e+02 7.1e-12 3.70
118 1.1e-08 1.1e-03 6.4e-07 8.85e-01 1.664428578e+02 1.664428771e+02 6.4e-12 3.73
119 1.0e-08 1.0e-03 5.7e-07 9.82e-01 1.664428591e+02 1.664428765e+02 5.7e-12 3.76
120 9.0e-09 9.1e-04 5.1e-07 8.79e-01 1.664428603e+02 1.664428759e+02 5.2e-12 3.79
121 8.5e-09 8.2e-04 4.6e-07 1.01e+00 1.664428614e+02 1.664428754e+02 4.7e-12 3.82
122 8.4e-09 7.4e-04 4.2e-07 1.19e+00 1.664428632e+02 1.664428744e+02 4.6e-12 3.84
123 8.3e-09 6.6e-04 3.8e-07 8.14e-01 1.664428640e+02 1.664428739e+02 4.1e-12 3.87
124 7.8e-09 6.0e-04 3.4e-07 8.97e-01 1.664428646e+02 1.664428737e+02 3.7e-12 3.89
125 1.0e-08 5.4e-04 3.0e-07 2.81e+00 1.664428650e+02 1.664428741e+02 3.4e-12 3.92
126 1.1e-08 4.8e-04 2.7e-07 6.33e-01 1.664428655e+02 1.664428740e+02 3.0e-12 3.95
127 1.2e-08 4.4e-04 2.5e-07 1.21e+00 1.664428665e+02 1.664428732e+02 3.0e-12 3.98
128 1.3e-08 3.9e-04 2.2e-07 6.05e-01 1.664428670e+02 1.664428727e+02 2.7e-12 4.00
129 9.0e-09 3.8e-04 2.1e-07 7.94e+00 1.664428674e+02 1.664428721e+02 2.5e-12 4.04
130 8.6e-09 3.6e-04 1.9e-07 4.16e-01 1.664428676e+02 1.664428721e+02 2.2e-12 4.07
131 8.4e-09 3.2e-04 1.7e-07 4.61e-01 1.664428679e+02 1.664428721e+02 2.0e-12 4.10
132 7.3e-09 2.9e-04 1.6e-07 8.83e-01 1.664428682e+02 1.664428720e+02 1.8e-12 4.13
133 1.2e-08 2.9e-04 1.5e-07 1.26e+02 1.664428680e+02 1.664428724e+02 1.8e-12 4.16
134 1.1e-08 2.6e-04 1.4e-07 4.88e-01 1.664428682e+02 1.664428723e+02 1.6e-12 4.19
135 7.7e-09 2.3e-04 1.3e-07 1.33e+00 1.664428685e+02 1.664428721e+02 1.4e-12 4.22
136 5.2e-09 2.1e-04 1.1e-07 2.11e+00 1.664428688e+02 1.664428718e+02 1.3e-12 4.25
137 4.1e-09 1.9e-04 1.0e-07 5.19e-01 1.664428690e+02 1.664428718e+02 1.1e-12 4.28
138 4.0e-09 1.7e-04 9.2e-08 2.82e-01 1.664428691e+02 1.664428717e+02 1.0e-12 4.31
139 3.7e-09 1.5e-04 8.2e-08 5.20e-01 1.664428693e+02 1.664428717e+02 9.3e-13 4.34
Interior-point optimizer terminated. Time: 4.35.
Optimizer terminated. Time: 4.39
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286929e+02 Viol. con: 6e-08 var: 0e+00
Dual. obj: 1.6644287170e+02 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.41 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 : 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 -1.280489603e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258746552e+05 3.573540072e+00 4.8e-01 0.14
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197248492e+05 1.020048061e+01 1.9e-01 0.19
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150061319e+05 6.350464787e+01 1.2e-01 0.22
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124090171e+05 2.256518940e+03 1.2e-01 0.25
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.445956470e+04 9.583506857e+03 3.3e-02 0.28
6 3.0e+01 3.8e+01 1.7e+03 -1.95e-01 -4.029032704e+04 1.021236222e+04 1.3e-02 0.31
7 1.8e+01 2.3e+01 9.9e+02 3.95e-01 -2.693751060e+04 6.641962925e+03 7.9e-03 0.33
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.531786401e+04 3.830168249e+03 4.2e-03 0.38
9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.905194996e+03 1.796574405e+03 1.6e-03 0.42
10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.113326911e+03 1.193555402e+03 8.9e-04 0.45
11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.224279811e+03 6.160629928e+02 3.8e-04 0.47
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.207775301e+03 5.913566507e+02 3.7e-04 0.54
13 5.1e-01 6.6e-01 2.8e+01 9.72e-01 -7.035591596e+02 4.268401468e+02 2.3e-04 0.57
14 3.1e-01 4.1e-01 1.8e+01 1.00e+00 -3.505828346e+02 3.411877729e+02 1.4e-04 0.59
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.684496011e+01 2.143803826e+02 5.0e-05 0.62
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.198000927e+01 2.045204590e+02 3.8e-05 0.65
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.510819942e+01 1.869523894e+02 1.9e-05 0.68
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425309231e+02 1.741992120e+02 6.7e-06 0.71
19 6.3e-03 7.2e-02 3.6e-01 1.01e+00 1.556728464e+02 1.695991855e+02 2.9e-06 0.74
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638768804e+02 1.673910682e+02 7.5e-07 0.77
21 8.1e-04 1.1e-01 5.0e-02 9.78e-01 1.650487035e+02 1.669447824e+02 4.1e-07 0.80
22 2.5e-04 1.1e-01 1.6e-02 9.89e-01 1.659980192e+02 1.666010746e+02 1.3e-07 0.83
23 1.2e-04 8.9e-02 7.5e-03 1.01e+00 1.662206308e+02 1.665064930e+02 6.3e-08 0.86
24 4.6e-05 8.6e-02 3.0e-03 1.01e+00 1.663410704e+02 1.664565311e+02 2.6e-08 0.88
25 2.1e-05 7.8e-02 1.4e-03 1.01e+00 1.663845762e+02 1.664381902e+02 1.2e-08 0.91
26 1.9e-05 7.1e-02 1.3e-03 1.00e+00 1.663890860e+02 1.664373667e+02 1.1e-08 0.94
27 1.7e-05 6.5e-02 1.1e-03 1.01e+00 1.663923602e+02 1.664358001e+02 9.7e-09 0.98
28 1.6e-05 5.9e-02 1.0e-03 1.00e+00 1.663953662e+02 1.664344555e+02 8.8e-09 1.01
29 1.4e-05 5.4e-02 9.3e-04 1.00e+00 1.663980565e+02 1.664332308e+02 7.9e-09 1.03
30 1.3e-05 5.0e-02 8.4e-04 1.00e+00 1.664004758e+02 1.664321277e+02 7.1e-09 1.06
31 1.1e-05 4.5e-02 7.5e-04 1.00e+00 1.664026496e+02 1.664311323e+02 6.4e-09 1.09
32 1.0e-05 4.2e-02 6.8e-04 1.00e+00 1.664046033e+02 1.664302344e+02 5.8e-09 1.12
33 9.2e-06 3.8e-02 6.1e-04 1.00e+00 1.664063593e+02 1.664294246e+02 5.2e-09 1.15
34 8.3e-06 3.5e-02 5.5e-04 1.00e+00 1.664079377e+02 1.664286944e+02 4.7e-09 1.19
35 7.5e-06 3.3e-02 5.0e-04 1.00e+00 1.664093566e+02 1.664280358e+02 4.2e-09 1.22
36 6.7e-06 3.0e-02 4.5e-04 1.00e+00 1.664106322e+02 1.664274421e+02 3.8e-09 1.25
37 6.1e-06 2.8e-02 4.0e-04 1.00e+00 1.664117791e+02 1.664269069e+02 3.4e-09 1.28
38 5.5e-06 2.6e-02 3.6e-04 1.00e+00 1.664128103e+02 1.664264244e+02 3.1e-09 1.31
39 4.9e-06 2.4e-02 3.2e-04 1.00e+00 1.664137375e+02 1.664259895e+02 2.8e-09 1.34
40 4.4e-06 2.2e-02 2.9e-04 1.00e+00 1.664145713e+02 1.664255975e+02 2.5e-09 1.36
41 4.0e-06 2.1e-02 2.6e-04 1.00e+00 1.664153211e+02 1.664252442e+02 2.2e-09 1.39
42 3.6e-06 2.0e-02 2.4e-04 1.00e+00 1.664159954e+02 1.664249258e+02 2.0e-09 1.42
43 3.2e-06 1.8e-02 2.1e-04 1.00e+00 1.664166017e+02 1.664246388e+02 1.8e-09 1.45
44 2.9e-06 1.7e-02 1.9e-04 1.00e+00 1.664171470e+02 1.664243801e+02 1.6e-09 1.48
45 2.6e-06 1.6e-02 1.7e-04 1.00e+00 1.664176374e+02 1.664241470e+02 1.5e-09 1.51
46 2.3e-06 1.6e-02 1.6e-04 1.00e+00 1.664180785e+02 1.664239370e+02 1.3e-09 1.54
47 2.1e-06 1.5e-02 1.4e-04 1.00e+00 1.664184753e+02 1.664237479e+02 1.2e-09 1.57
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664188323e+02 1.664235775e+02 1.1e-09 1.59
49 1.7e-06 1.3e-02 1.1e-04 1.00e+00 1.664191535e+02 1.664234241e+02 9.6e-10 1.62
50 1.5e-06 1.3e-02 1.0e-04 1.00e+00 1.664194424e+02 1.664232859e+02 8.6e-10 1.65
51 1.4e-06 1.2e-02 9.2e-05 1.00e+00 1.664197023e+02 1.664231614e+02 7.8e-10 1.68
52 1.2e-06 1.2e-02 8.3e-05 1.00e+00 1.664199362e+02 1.664230494e+02 7.0e-10 1.71
53 1.1e-06 1.1e-02 7.4e-05 1.00e+00 1.664201466e+02 1.664229485e+02 6.3e-10 1.74
54 1.0e-06 1.1e-02 6.7e-05 1.00e+00 1.664203359e+02 1.664228576e+02 5.7e-10 1.77
55 9.1e-07 1.1e-02 6.0e-05 1.00e+00 1.664205062e+02 1.664227758e+02 5.1e-10 1.79
56 8.2e-07 1.0e-02 5.4e-05 1.00e+00 1.664206595e+02 1.664227020e+02 4.6e-10 1.82
57 7.4e-07 1.0e-02 4.9e-05 1.00e+00 1.664207973e+02 1.664226357e+02 4.1e-10 1.85
58 6.6e-07 9.9e-03 4.4e-05 1.00e+00 1.664209213e+02 1.664225759e+02 3.7e-10 1.88
59 6.0e-07 9.7e-03 4.0e-05 1.00e+00 1.664210329e+02 1.664225220e+02 3.3e-10 1.91
60 5.4e-07 9.5e-03 3.6e-05 1.00e+00 1.664211333e+02 1.664224735e+02 3.0e-10 1.94
61 4.8e-07 9.3e-03 3.2e-05 1.00e+00 1.664212236e+02 1.664224298e+02 2.7e-10 1.97
62 4.4e-07 9.1e-03 2.9e-05 1.00e+00 1.664213048e+02 1.664223904e+02 2.4e-10 2.00
63 3.9e-07 9.0e-03 2.6e-05 1.00e+00 1.664213778e+02 1.664223549e+02 2.2e-10 2.02
64 3.5e-07 8.9e-03 2.3e-05 1.00e+00 1.664214436e+02 1.664223229e+02 2.0e-10 2.05
65 3.2e-07 8.7e-03 2.1e-05 1.00e+00 1.664215027e+02 1.664222940e+02 1.8e-10 2.08
66 2.9e-07 8.6e-03 1.9e-05 1.00e+00 1.664215559e+02 1.664222681e+02 1.6e-10 2.11
67 2.6e-07 8.5e-03 1.7e-05 1.00e+00 1.664216038e+02 1.664222447e+02 1.4e-10 2.14
68 2.3e-07 8.4e-03 1.5e-05 1.00e+00 1.664216468e+02 1.664222237e+02 1.3e-10 2.17
69 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664216856e+02 1.664222047e+02 1.2e-10 2.20
70 1.9e-07 8.3e-03 1.2e-05 1.00e+00 1.664217205e+02 1.664221876e+02 1.1e-10 2.22
71 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217518e+02 1.664221723e+02 9.5e-11 2.25
72 1.5e-07 8.1e-03 1.0e-05 1.00e+00 1.664217801e+02 1.664221585e+02 8.5e-11 2.28
73 1.4e-07 8.1e-03 9.0e-06 1.00e+00 1.664218055e+02 1.664221461e+02 7.7e-11 2.31
74 1.2e-07 8.0e-03 8.1e-06 1.00e+00 1.664218284e+02 1.664221348e+02 6.9e-11 2.34
75 1.1e-07 8.0e-03 7.3e-06 1.00e+00 1.664218489e+02 1.664221248e+02 6.2e-11 2.37
76 1.0e-07 7.9e-03 6.6e-06 9.99e-01 1.664218674e+02 1.664221157e+02 5.6e-11 2.40
77 9.0e-08 7.9e-03 5.9e-06 9.95e-01 1.664218841e+02 1.664221076e+02 5.0e-11 2.42
78 8.1e-08 7.8e-03 5.3e-06 9.96e-01 1.664218991e+02 1.664221003e+02 4.5e-11 2.45
79 7.3e-08 7.8e-03 4.8e-06 1.00e+00 1.664219126e+02 1.664220936e+02 4.1e-11 2.48
80 6.5e-08 7.8e-03 4.3e-06 1.00e+00 1.664219248e+02 1.664220877e+02 3.7e-11 2.51
81 5.9e-08 7.7e-03 3.9e-06 9.96e-01 1.664219357e+02 1.664220823e+02 3.3e-11 2.54
82 5.3e-08 7.7e-03 3.5e-06 9.96e-01 1.664219455e+02 1.664220775e+02 3.0e-11 2.57
83 4.8e-08 7.7e-03 3.2e-06 9.91e-01 1.664219544e+02 1.664220732e+02 2.7e-11 2.60
84 4.3e-08 6.9e-03 2.8e-06 1.01e+00 1.664219628e+02 1.664220690e+02 2.4e-11 2.62
85 3.9e-08 6.2e-03 2.6e-06 9.83e-01 1.664219699e+02 1.664220656e+02 2.2e-11 2.65
86 3.5e-08 5.6e-03 2.3e-06 1.00e+00 1.664219763e+02 1.664220625e+02 2.0e-11 2.68
87 3.1e-08 5.0e-03 2.1e-06 1.01e+00 1.664219823e+02 1.664220595e+02 1.8e-11 2.71
88 2.8e-08 4.5e-03 1.9e-06 1.00e+00 1.664219876e+02 1.664220569e+02 1.6e-11 2.74
89 2.5e-08 4.1e-03 1.7e-06 9.67e-01 1.664219922e+02 1.664220547e+02 1.4e-11 2.77
90 2.3e-08 3.7e-03 1.5e-06 9.86e-01 1.664219964e+02 1.664220526e+02 1.3e-11 2.80
91 2.0e-08 3.3e-03 1.4e-06 9.86e-01 1.664220001e+02 1.664220508e+02 1.2e-11 2.82
92 1.8e-08 3.0e-03 1.2e-06 1.02e+00 1.664220037e+02 1.664220490e+02 1.1e-11 2.85
93 1.7e-08 2.7e-03 1.1e-06 9.82e-01 1.664220068e+02 1.664220475e+02 9.5e-12 2.88
94 1.5e-08 2.4e-03 9.9e-07 1.04e+00 1.664220099e+02 1.664220459e+02 8.7e-12 2.91
95 1.3e-08 2.2e-03 8.9e-07 1.03e+00 1.664220127e+02 1.664220445e+02 8.0e-12 2.94
96 1.2e-08 1.9e-03 8.0e-07 9.91e-01 1.664220148e+02 1.664220435e+02 7.2e-12 2.97
97 1.1e-08 1.8e-03 7.2e-07 1.01e+00 1.664220169e+02 1.664220425e+02 6.5e-12 3.00
98 9.8e-09 1.6e-03 6.5e-07 1.04e+00 1.664220189e+02 1.664220414e+02 5.9e-12 3.02
99 8.8e-09 1.4e-03 5.8e-07 9.25e-01 1.664220204e+02 1.664220407e+02 5.4e-12 3.05
100 8.0e-09 1.3e-03 5.3e-07 9.71e-01 1.664220217e+02 1.664220401e+02 4.8e-12 3.08
101 7.2e-09 1.2e-03 4.7e-07 1.08e+00 1.664220234e+02 1.664220392e+02 4.5e-12 3.11
102 6.5e-09 1.0e-03 4.3e-07 9.08e-01 1.664220244e+02 1.664220388e+02 4.0e-12 3.14
103 5.9e-09 9.3e-04 3.8e-07 1.09e+00 1.664220258e+02 1.664220380e+02 3.8e-12 3.17
104 5.3e-09 8.4e-04 3.5e-07 1.06e+00 1.664220269e+02 1.664220375e+02 3.5e-12 3.20
105 4.8e-09 7.6e-04 3.1e-07 9.97e-01 1.664220276e+02 1.664220371e+02 3.2e-12 3.22
106 4.4e-09 6.8e-04 2.8e-07 1.11e+00 1.664220286e+02 1.664220366e+02 3.0e-12 3.25
107 3.9e-09 6.1e-04 2.5e-07 9.51e-01 1.664220291e+02 1.664220364e+02 2.7e-12 3.28
108 3.6e-09 5.5e-04 2.3e-07 9.92e-01 1.664220296e+02 1.664220362e+02 2.5e-12 3.31
109 3.3e-09 5.0e-04 2.0e-07 9.89e-01 1.664220300e+02 1.664220359e+02 2.2e-12 3.34
110 3.7e-09 4.5e-04 1.8e-07 1.19e+00 1.664220308e+02 1.664220355e+02 2.2e-12 3.37
111 2.3e-09 2.5e-05 1.1e-08 9.39e-01 1.664220339e+02 1.664220342e+02 1.8e-13 3.40
Interior-point optimizer terminated. Time: 3.40.
Optimizer terminated. Time: 3.45
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203389e+02 Viol. con: 5e-08 var: 0e+00
Dual. obj: 1.6642203417e+02 Viol. con: 0e+00 var: 1e-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: 0.01
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 : 0.06 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 -1.280480907e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258735649e+05 3.573328684e+00 4.8e-01 0.69
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197005118e+05 1.021705293e+01 1.9e-01 0.72
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.149813359e+05 6.382291107e+01 1.2e-01 0.76
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.123855377e+05 2.255174041e+03 1.2e-01 0.79
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.423608400e+04 9.613729621e+03 3.3e-02 0.82
6 3.0e+01 3.8e+01 1.6e+03 -1.92e-01 -4.018141173e+04 1.017431571e+04 1.3e-02 0.85
7 1.8e+01 2.3e+01 9.9e+02 3.96e-01 -2.694057386e+04 6.639010188e+03 7.9e-03 0.88
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.520626288e+04 3.808637023e+03 4.1e-03 0.91
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.318856686e+03 1.679777763e+03 1.4e-03 0.94
10 1.6e+00 2.0e+00 8.9e+01 9.54e-01 -2.417641571e+03 1.055145028e+03 7.1e-04 0.97
11 9.5e-01 1.2e+00 5.3e+01 9.86e-01 -1.370561806e+03 7.033922024e+02 4.2e-04 1.00
12 8.6e-01 1.1e+00 4.8e+01 9.64e-01 -1.258995726e+03 6.421021304e+02 3.8e-04 1.03
13 4.8e-01 6.1e-01 2.7e+01 9.77e-01 -6.393541262e+02 4.225778205e+02 2.1e-04 1.06
14 2.6e-01 3.4e-01 1.4e+01 1.00e+00 -2.623817080e+02 3.061897723e+02 1.2e-04 1.09
15 9.2e-02 1.5e-01 5.3e+00 1.00e+00 -2.393856896e+00 2.056344836e+02 4.3e-05 1.17
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.576537491e+01 2.083367144e+02 4.0e-05 1.19
17 6.0e-02 9.5e-02 3.4e+00 1.02e+00 6.107217730e+01 1.952043405e+02 2.8e-05 1.22
18 3.4e-02 7.3e-02 1.9e+00 1.02e+00 1.081921020e+02 1.827214753e+02 1.6e-05 1.24
19 9.3e-03 1.7e-01 5.4e-01 1.02e+00 1.512032799e+02 1.719127458e+02 4.3e-06 1.27
20 3.4e-03 2.1e-01 2.0e-01 1.01e+00 1.605106602e+02 1.682876476e+02 1.7e-06 1.29
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642779397e+02 1.671863620e+02 6.2e-07 1.32
22 8.5e-04 1.0e-01 5.1e-02 9.84e-01 1.649813565e+02 1.669397474e+02 4.2e-07 1.34
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659710774e+02 1.665859669e+02 1.3e-07 1.38
24 9.4e-05 1.0e-01 6.0e-03 1.01e+00 1.662464768e+02 1.664756793e+02 5.1e-08 1.41
25 3.7e-05 9.6e-02 2.4e-03 1.01e+00 1.663445762e+02 1.664349665e+02 2.0e-08 1.43
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663787298e+02 1.664206000e+02 9.5e-09 1.46
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663822231e+02 1.664199215e+02 8.5e-09 1.49
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663847896e+02 1.664187110e+02 7.7e-09 1.52
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663871433e+02 1.664176672e+02 6.9e-09 1.55
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663892515e+02 1.664167186e+02 6.2e-09 1.59
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663911474e+02 1.664158643e+02 5.6e-09 1.62
32 9.0e-06 4.7e-02 5.9e-04 1.00e+00 1.663928515e+02 1.664150937e+02 5.0e-09 1.64
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663943834e+02 1.664143991e+02 4.5e-09 1.67
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663957607e+02 1.664137729e+02 4.1e-09 1.70
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969990e+02 1.664132084e+02 3.7e-09 1.73
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663981125e+02 1.664126996e+02 3.3e-09 1.76
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663991137e+02 1.664122411e+02 3.0e-09 1.79
38 4.8e-06 2.9e-02 3.1e-04 1.00e+00 1.664000141e+02 1.664118279e+02 2.7e-09 1.82
39 4.3e-06 2.7e-02 2.8e-04 1.00e+00 1.664008238e+02 1.664114555e+02 2.4e-09 1.85
40 3.9e-06 2.5e-02 2.5e-04 1.00e+00 1.664015519e+02 1.664111199e+02 2.2e-09 1.88
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664022068e+02 1.664108175e+02 2.0e-09 1.90
42 3.1e-06 2.1e-02 2.1e-04 1.00e+00 1.664027957e+02 1.664105450e+02 1.8e-09 1.95
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664033253e+02 1.664102994e+02 1.6e-09 1.98
44 2.5e-06 1.9e-02 1.7e-04 1.00e+00 1.664038017e+02 1.664100781e+02 1.4e-09 2.01
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042303e+02 1.664098788e+02 1.3e-09 2.04
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664046158e+02 1.664096993e+02 1.2e-09 2.07
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049626e+02 1.664095377e+02 1.0e-09 2.10
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052746e+02 1.664093921e+02 9.3e-10 2.13
49 1.5e-06 1.4e-02 9.8e-05 1.00e+00 1.664055554e+02 1.664092610e+02 8.4e-10 2.16
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664058079e+02 1.664091430e+02 7.6e-10 2.19
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060352e+02 1.664090367e+02 6.8e-10 2.22
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062396e+02 1.664089410e+02 6.1e-10 2.25
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064236e+02 1.664088548e+02 5.5e-10 2.28
54 8.9e-07 1.2e-02 5.8e-05 1.00e+00 1.664065891e+02 1.664087771e+02 5.0e-10 2.31
55 8.0e-07 1.1e-02 5.2e-05 1.00e+00 1.664067380e+02 1.664087072e+02 4.5e-10 2.34
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068720e+02 1.664086443e+02 4.0e-10 2.37
57 6.5e-07 1.0e-02 4.2e-05 1.00e+00 1.664069925e+02 1.664085875e+02 3.6e-10 2.40
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664071009e+02 1.664085364e+02 3.3e-10 2.43
59 5.2e-07 9.9e-03 3.4e-05 1.00e+00 1.664071985e+02 1.664084904e+02 2.9e-10 2.46
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072862e+02 1.664084489e+02 2.6e-10 2.49
61 4.2e-07 9.5e-03 2.8e-05 1.00e+00 1.664073651e+02 1.664084116e+02 2.4e-10 2.52
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074361e+02 1.664083779e+02 2.1e-10 2.55
63 3.4e-07 9.1e-03 2.3e-05 1.00e+00 1.664074999e+02 1.664083476e+02 1.9e-10 2.58
64 3.1e-07 9.0e-03 2.0e-05 9.99e-01 1.664075574e+02 1.664083203e+02 1.7e-10 2.61
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076090e+02 1.664082956e+02 1.6e-10 2.65
66 2.5e-07 8.7e-03 1.6e-05 1.00e+00 1.664076555e+02 1.664082735e+02 1.4e-10 2.68
67 2.3e-07 8.6e-03 1.5e-05 1.00e+00 1.664076974e+02 1.664082535e+02 1.3e-10 2.71
68 2.0e-07 8.5e-03 1.3e-05 1.00e+00 1.664077350e+02 1.664082356e+02 1.1e-10 2.74
69 1.8e-07 8.4e-03 1.2e-05 9.97e-01 1.664077689e+02 1.664082194e+02 1.0e-10 2.77
70 1.6e-07 8.3e-03 1.1e-05 9.98e-01 1.664077993e+02 1.664082049e+02 9.2e-11 2.80
71 1.5e-07 8.2e-03 9.7e-06 9.99e-01 1.664078268e+02 1.664081918e+02 8.3e-11 2.83
72 1.3e-07 8.2e-03 8.7e-06 9.99e-01 1.664078515e+02 1.664081800e+02 7.5e-11 2.86
73 1.2e-07 8.1e-03 7.9e-06 1.00e+00 1.664078738e+02 1.664081693e+02 6.7e-11 2.89
74 1.1e-07 8.0e-03 7.1e-06 9.98e-01 1.664078937e+02 1.664081597e+02 6.0e-11 2.92
75 9.7e-08 8.0e-03 6.4e-06 9.93e-01 1.664079117e+02 1.664081512e+02 5.4e-11 2.95
76 8.7e-08 7.9e-03 5.7e-06 1.00e+00 1.664079279e+02 1.664081434e+02 4.9e-11 2.98
77 7.9e-08 7.9e-03 5.2e-06 9.96e-01 1.664079424e+02 1.664081364e+02 4.4e-11 3.02
78 7.1e-08 7.8e-03 4.6e-06 9.95e-01 1.664079555e+02 1.664081302e+02 4.0e-11 3.05
79 6.4e-08 7.8e-03 4.2e-06 1.00e+00 1.664079673e+02 1.664081245e+02 3.6e-11 3.08
80 5.7e-08 7.8e-03 3.8e-06 1.00e+00 1.664079780e+02 1.664081193e+02 3.2e-11 3.11
81 5.2e-08 7.7e-03 3.4e-06 9.97e-01 1.664079876e+02 1.664081148e+02 2.9e-11 3.14
82 4.6e-08 7.7e-03 3.0e-06 9.97e-01 1.664079962e+02 1.664081107e+02 2.6e-11 3.17
83 4.2e-08 7.7e-03 2.7e-06 9.93e-01 1.664080039e+02 1.664081070e+02 2.3e-11 3.20
84 3.8e-08 7.6e-03 2.5e-06 9.91e-01 1.664080108e+02 1.664081036e+02 2.1e-11 3.23
85 3.4e-08 7.6e-03 2.2e-06 9.95e-01 1.664080171e+02 1.664081006e+02 1.9e-11 3.26
86 3.1e-08 7.6e-03 2.0e-06 9.93e-01 1.664080227e+02 1.664080979e+02 1.7e-11 3.32
87 2.7e-08 6.8e-03 1.8e-06 1.01e+00 1.664080281e+02 1.664080953e+02 1.5e-11 3.35
88 2.5e-08 6.1e-03 1.6e-06 1.02e+00 1.664080330e+02 1.664080929e+02 1.4e-11 3.38
89 2.2e-08 5.5e-03 1.5e-06 9.89e-01 1.664080370e+02 1.664080910e+02 1.3e-11 3.41
90 2.0e-08 5.0e-03 1.3e-06 9.99e-01 1.664080407e+02 1.664080892e+02 1.1e-11 3.45
91 1.8e-08 4.5e-03 1.2e-06 9.84e-01 1.664080439e+02 1.664080877e+02 1.0e-11 3.48
92 1.6e-08 4.0e-03 1.1e-06 1.02e+00 1.664080471e+02 1.664080861e+02 9.3e-12 3.51
93 1.5e-08 3.6e-03 9.6e-07 9.96e-01 1.664080497e+02 1.664080849e+02 8.3e-12 3.54
94 1.3e-08 3.3e-03 8.6e-07 1.01e+00 1.664080522e+02 1.664080837e+02 7.5e-12 3.57
95 1.2e-08 2.9e-03 7.7e-07 9.67e-01 1.664080543e+02 1.664080827e+02 6.8e-12 3.62
96 1.1e-08 2.6e-03 7.0e-07 9.64e-01 1.664080562e+02 1.664080818e+02 6.1e-12 3.64
97 9.6e-09 2.4e-03 6.3e-07 9.25e-01 1.664080579e+02 1.664080810e+02 5.5e-12 3.68
98 8.7e-09 2.1e-03 5.6e-07 9.77e-01 1.664080594e+02 1.664080803e+02 5.0e-12 3.71
99 7.8e-09 1.9e-03 5.1e-07 9.69e-01 1.664080608e+02 1.664080796e+02 4.5e-12 3.74
100 7.1e-09 1.7e-03 4.6e-07 8.78e-01 1.664080621e+02 1.664080791e+02 4.0e-12 3.77
101 6.4e-09 1.6e-03 4.1e-07 1.12e+00 1.664080639e+02 1.664080781e+02 3.8e-12 3.80
102 5.7e-09 1.4e-03 3.7e-07 9.90e-01 1.664080648e+02 1.664080776e+02 3.5e-12 3.84
103 5.2e-09 1.3e-03 3.3e-07 1.08e+00 1.664080660e+02 1.664080770e+02 3.2e-12 3.87
104 4.8e-09 1.1e-03 3.0e-07 1.05e+00 1.664080669e+02 1.664080765e+02 3.0e-12 3.90
105 4.3e-09 1.0e-03 2.7e-07 8.83e-01 1.664080676e+02 1.664080762e+02 2.7e-12 3.93
106 3.8e-09 9.2e-04 2.4e-07 1.01e+00 1.664080682e+02 1.664080759e+02 2.4e-12 3.96
107 3.4e-09 8.3e-04 2.2e-07 1.01e+00 1.664080687e+02 1.664080757e+02 2.2e-12 3.99
108 3.2e-09 7.5e-04 2.0e-07 1.09e+00 1.664080694e+02 1.664080753e+02 2.1e-12 4.03
109 2.9e-09 6.7e-04 1.8e-07 9.98e-01 1.664080698e+02 1.664080751e+02 1.9e-12 4.06
110 3.5e-09 8.0e-05 2.1e-08 7.60e-01 1.664080732e+02 1.664080739e+02 3.8e-13 4.09
Interior-point optimizer terminated. Time: 4.09.
Optimizer terminated. Time: 4.13
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807319e+02 Viol. con: 9e-08 var: 0e+00
Dual. obj: 1.6640807390e+02 Viol. con: 0e+00 var: 5e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.16 seconds.
Solving took 9 GP solves and 42.8 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: 1.4957408087819162e+110 vs 1.49570256855e+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: 3.705367688516117e+72 vs 3.7052537728e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682462]
Total Aircraft Weight Percent Diff: [-21.48056529]
Engine Weight Percent Diff: -56.2782351009368
Fuselage Weight Percent Diff: -0.8697347311433049
Payload Weight Percent Diff: [-0.0400356]
VT Weight Percent Diff: -8.60784619317222
HT Weight Percent Diff: -93.23329197381152
Wing Weight Percent Diff: 8.267483650774059
WING DIFFERENCES
Wing Span Percent Diff: -0.029993703782960107
Wing Area Percent Diff: 32.89991750932889
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.48896860338077
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022345049365986
VT Area Percent Diff: -60.38683974635467
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54724526]
L/D Percent Diff: [24.01022281]
Nacelle Cd Percent Diff: [-94.27641639]
HT Cd Percent Diff: [-80.76939694] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00298827] dimensionless
Wing Cd percent Diff: [-14.22920409]
Induced Drag Cd Percent Diff: [1.21944022]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035959]
FUSELAGE DIFFERENCES
Weight of HB material: -38.36074674285008
Weight of VB material: 87.81878830086127
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.7126052]