![[Jenkins]](/csi/static/a404d988/images/svgs/logo.svg){kind=logo}
Passed
gpkit.tests.from_paths.TestFiles.test_SPaircraft_py_mosek (from gpkit.tests.from_paths.TestFiles-20190908072452)
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}[:]*W_{avg}[: >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission.Aircraft.Wing.WingBox.N_{lift} = 3
Mission.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission.Aircraft.VerticalTail.WingBox.N_{lift}*Mission.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission.Aircraft.Wing.WingBox.r_{w/c} = Mission.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission.Aircraft.Fuselage.N_{lift} = Mission.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 937
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 937
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
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 : 0.19 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 0.22
1 1.1e+03 1.5e+03 6.3e+04 -9.71e-01 -1.265132514e+05 3.611589420e+00 4.9e-01 0.57
2 4.1e+02 5.4e+02 2.3e+04 -9.38e-01 -1.199666169e+05 1.064041138e+01 1.8e-01 0.61
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.156309126e+05 6.812702963e+01 1.3e-01 0.64
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.131522901e+05 2.113211995e+03 1.3e-01 0.67
5 8.8e+01 1.2e+02 5.0e+03 -7.53e-01 -8.096538237e+04 8.430204037e+03 3.9e-02 0.70
6 3.7e+01 4.8e+01 2.1e+03 -2.92e-01 -4.806295568e+04 1.015705753e+04 1.6e-02 0.73
7 2.1e+01 2.8e+01 1.2e+03 2.53e-01 -3.183959973e+04 7.147574260e+03 9.5e-03 0.76
8 9.4e+00 1.2e+01 5.3e+02 5.37e-01 -1.516213576e+04 4.167067597e+03 4.2e-03 0.79
9 5.5e+00 7.2e+00 3.1e+02 8.14e-01 -8.873654488e+03 2.833843752e+03 2.5e-03 0.82
10 1.3e+00 1.8e+00 7.7e+01 9.07e-01 -2.032976954e+03 9.282385087e+02 6.1e-04 0.85
11 7.0e-01 9.2e-01 4.0e+01 9.94e-01 -8.350002142e+02 7.206024908e+02 3.2e-04 0.88
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.846306076e+02 5.632460213e+02 2.1e-04 0.91
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.148957258e+02 4.857769751e+02 1.6e-04 0.94
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.857417116e+01 3.656902710e+02 7.9e-05 0.97
15 5.5e-02 1.5e-01 3.3e+00 9.94e-01 1.620485362e+02 2.901550655e+02 2.6e-05 1.00
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.996394651e+02 2.746181590e+02 1.6e-05 1.03
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.444824012e+02 2.572405213e+02 2.8e-06 1.06
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509288752e+02 2.546905409e+02 8.3e-07 1.09
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527800443e+02 2.540213968e+02 2.8e-07 1.12
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532857302e+02 2.538354980e+02 1.2e-07 1.15
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533271035e+02 2.538219096e+02 1.1e-07 1.18
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533631909e+02 2.538084914e+02 1.0e-07 1.21
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533957124e+02 2.537964664e+02 9.0e-08 1.24
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534249555e+02 2.537856200e+02 8.1e-08 1.27
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534512557e+02 2.537758421e+02 7.3e-08 1.30
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534749084e+02 2.537670264e+02 6.6e-08 1.33
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 1.45
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535619442e+02 2.537344150e+02 3.9e-08 1.48
32 5.9e-05 2.9e-02 4.0e-03 1.00e+00 2.535744754e+02 2.537296963e+02 3.5e-08 1.51
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535857490e+02 2.537254456e+02 3.1e-08 1.54
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 1.64
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 1.81
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 1.94
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536612924e+02 2.536967986e+02 8.0e-09 1.97
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536638623e+02 2.536958179e+02 7.2e-09 2.00
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536661750e+02 2.536949350e+02 6.5e-09 2.03
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536682562e+02 2.536941402e+02 5.8e-09 2.07
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536701290e+02 2.536934247e+02 5.2e-09 2.10
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536718144e+02 2.536927806e+02 4.7e-09 2.14
52 7.2e-06 1.0e-02 4.9e-04 1.00e+00 2.536733312e+02 2.536922007e+02 4.2e-09 2.17
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536746961e+02 2.536916788e+02 3.8e-09 2.20
54 5.9e-06 9.6e-03 3.9e-04 1.00e+00 2.536759245e+02 2.536912089e+02 3.4e-09 2.24
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770300e+02 2.536907860e+02 3.1e-09 2.27
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780248e+02 2.536904052e+02 2.8e-09 2.30
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789201e+02 2.536900625e+02 2.5e-09 2.33
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797258e+02 2.536897540e+02 2.3e-09 2.37
59 3.5e-06 8.7e-03 2.3e-04 1.00e+00 2.536804509e+02 2.536894763e+02 2.0e-09 2.40
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811034e+02 2.536892263e+02 1.8e-09 2.43
61 1.2e-06 3.3e-03 8.1e-05 1.00e+00 2.536846840e+02 2.536878533e+02 7.1e-10 2.47
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849136e+02 2.536877661e+02 6.4e-10 2.50
63 1.1e-06 3.0e-03 7.1e-05 1.00e+00 2.536849884e+02 2.536877374e+02 6.2e-10 2.53
64 9.5e-07 2.7e-03 6.4e-05 1.00e+00 2.536851771e+02 2.536876649e+02 5.6e-10 2.57
65 9.3e-07 2.7e-03 6.3e-05 1.00e+00 2.536852119e+02 2.536876516e+02 5.5e-10 2.60
66 8.6e-07 2.5e-03 5.8e-05 1.00e+00 2.536853555e+02 2.536875965e+02 5.0e-10 2.64
67 8.0e-07 2.3e-03 5.4e-05 1.00e+00 2.536854629e+02 2.536875552e+02 4.7e-10 2.67
68 7.8e-07 2.3e-03 5.3e-05 1.00e+00 2.536854922e+02 2.536875440e+02 4.6e-10 2.70
69 4.5e-07 1.3e-03 3.0e-05 1.00e+00 2.536861285e+02 2.536872999e+02 2.6e-10 2.73
70 4.4e-07 1.3e-03 3.0e-05 1.00e+00 2.536861449e+02 2.536872936e+02 2.6e-10 2.76
71 4.3e-07 1.3e-03 2.9e-05 1.00e+00 2.536861610e+02 2.536872874e+02 2.5e-10 2.79
72 3.9e-07 1.2e-03 2.6e-05 1.00e+00 2.536862424e+02 2.536872562e+02 2.3e-10 2.82
73 3.6e-07 1.1e-03 2.4e-05 1.00e+00 2.536862910e+02 2.536872375e+02 2.1e-10 2.85
74 3.6e-07 1.1e-03 2.4e-05 1.00e+00 2.536862935e+02 2.536872365e+02 2.1e-10 2.88
75 3.2e-07 9.8e-04 2.2e-05 1.00e+00 2.536863617e+02 2.536872103e+02 1.9e-10 2.91
76 2.9e-07 8.8e-04 2.0e-05 1.00e+00 2.536864199e+02 2.536871880e+02 1.7e-10 2.94
77 2.6e-07 7.9e-04 1.8e-05 1.00e+00 2.536864754e+02 2.536871667e+02 1.6e-10 2.98
78 2.6e-07 7.9e-04 1.8e-05 1.00e+00 2.536864773e+02 2.536871659e+02 1.5e-10 3.01
79 2.6e-07 7.9e-04 1.8e-05 1.00e+00 2.536864791e+02 2.536871652e+02 1.5e-10 3.04
80 2.4e-07 7.1e-04 1.6e-05 1.00e+00 2.536865287e+02 2.536871462e+02 1.4e-10 3.07
81 2.4e-07 7.1e-04 1.6e-05 1.00e+00 2.536865304e+02 2.536871455e+02 1.4e-10 3.11
82 2.1e-07 6.4e-04 1.4e-05 1.00e+00 2.536865748e+02 2.536871285e+02 1.2e-10 3.15
83 2.0e-07 6.0e-04 1.3e-05 1.00e+00 2.536866014e+02 2.536871183e+02 1.2e-10 3.18
84 2.0e-07 6.0e-04 1.3e-05 1.00e+00 2.536866028e+02 2.536871177e+02 1.2e-10 3.22
85 1.8e-07 5.4e-04 1.2e-05 1.00e+00 2.536866363e+02 2.536871048e+02 1.1e-10 3.25
86 1.8e-07 5.4e-04 1.2e-05 1.00e+00 2.536866376e+02 2.536871043e+02 1.0e-10 3.28
87 1.8e-07 5.3e-04 1.2e-05 1.00e+00 2.536866441e+02 2.536871018e+02 1.0e-10 3.32
88 1.7e-07 5.3e-04 1.2e-05 1.00e+00 2.536866454e+02 2.536871014e+02 1.0e-10 3.35
89 1.6e-07 4.8e-04 1.1e-05 1.00e+00 2.536866767e+02 2.536870893e+02 9.3e-11 3.39
90 1.6e-07 4.8e-04 1.1e-05 1.00e+00 2.536866778e+02 2.536870889e+02 9.2e-11 3.42
91 1.4e-07 4.3e-04 9.6e-06 1.00e+00 2.536867060e+02 2.536870781e+02 8.4e-11 3.46
92 1.4e-07 4.2e-04 9.4e-06 1.00e+00 2.536867112e+02 2.536870761e+02 8.2e-11 3.49
93 1.4e-07 4.2e-04 9.3e-06 1.00e+00 2.536867122e+02 2.536870757e+02 8.2e-11 3.53
94 1.3e-07 3.8e-04 8.4e-06 1.00e+00 2.536867384e+02 2.536870656e+02 7.3e-11 3.56
95 1.2e-07 3.8e-04 8.4e-06 1.00e+00 2.536867393e+02 2.536870652e+02 7.3e-11 3.60
96 1.1e-07 3.4e-04 7.5e-06 1.00e+00 2.536867629e+02 2.536870562e+02 6.6e-11 3.63
97 1.0e-07 3.1e-04 6.8e-06 1.00e+00 2.536867841e+02 2.536870481e+02 5.9e-11 3.66
98 9.1e-08 2.8e-04 6.1e-06 1.00e+00 2.536868031e+02 2.536870407e+02 5.3e-11 3.70
99 9.1e-08 2.8e-04 6.1e-06 1.00e+00 2.536868038e+02 2.536870405e+02 5.3e-11 3.73
100 9.0e-08 2.8e-04 6.1e-06 1.00e+00 2.536868044e+02 2.536870402e+02 5.3e-11 3.77
101 8.2e-08 2.5e-04 5.5e-06 1.00e+00 2.536868198e+02 2.536870343e+02 4.8e-11 3.80
102 7.8e-08 2.4e-04 5.3e-06 1.00e+00 2.536868266e+02 2.536870317e+02 4.6e-11 3.83
103 7.8e-08 2.4e-04 5.3e-06 1.00e+00 2.536868266e+02 2.536870317e+02 4.6e-11 3.86
104 7.1e-08 2.2e-04 4.7e-06 1.00e+00 2.536868414e+02 2.536870260e+02 4.1e-11 3.89
105 7.1e-08 2.2e-04 4.7e-06 1.00e+00 2.536868414e+02 2.536870260e+02 4.1e-11 3.92
106 6.4e-08 2.0e-04 4.3e-06 1.00e+00 2.536868548e+02 2.536870208e+02 3.7e-11 3.95
107 5.7e-08 1.8e-04 3.9e-06 1.00e+00 2.536868662e+02 2.536870165e+02 3.4e-11 3.99
108 5.2e-08 1.6e-04 3.5e-06 1.00e+00 2.536868765e+02 2.536870125e+02 3.1e-11 4.02
109 5.2e-08 1.6e-04 3.5e-06 1.00e+00 2.536868765e+02 2.536870125e+02 3.1e-11 4.05
110 4.7e-08 1.4e-04 3.1e-06 9.99e-01 2.536868863e+02 2.536870087e+02 2.8e-11 4.08
111 4.5e-08 1.4e-04 3.0e-06 1.00e+00 2.536868902e+02 2.536870072e+02 2.6e-11 4.11
112 4.5e-08 1.4e-04 3.0e-06 9.99e-01 2.536868902e+02 2.536870072e+02 2.6e-11 4.13
113 4.1e-08 1.3e-04 2.7e-06 1.00e+00 2.536868978e+02 2.536870043e+02 2.4e-11 4.17
114 4.1e-08 1.3e-04 2.7e-06 1.00e+00 2.536868978e+02 2.536870043e+02 2.4e-11 4.20
115 3.7e-08 1.1e-04 2.5e-06 1.00e+00 2.536869055e+02 2.536870013e+02 2.2e-11 4.24
116 3.5e-08 1.1e-04 2.4e-06 1.00e+00 2.536869086e+02 2.536870001e+02 2.1e-11 4.27
117 3.2e-08 9.8e-05 2.1e-06 1.00e+00 2.536869145e+02 2.536869978e+02 1.9e-11 4.30
118 3.2e-08 9.8e-05 2.1e-06 1.00e+00 2.536869145e+02 2.536869978e+02 1.9e-11 4.34
119 2.9e-08 8.9e-05 1.9e-06 1.00e+00 2.536869202e+02 2.536869956e+02 1.7e-11 4.37
120 2.6e-08 8.0e-05 1.8e-06 1.00e+00 2.536869254e+02 2.536869936e+02 1.5e-11 4.40
121 2.4e-08 7.4e-05 1.6e-06 1.00e+00 2.536869294e+02 2.536869921e+02 1.4e-11 4.44
122 2.4e-08 7.4e-05 1.6e-06 1.00e+00 2.536869294e+02 2.536869921e+02 1.4e-11 4.47
123 2.2e-08 6.6e-05 1.4e-06 9.99e-01 2.536869340e+02 2.536869903e+02 1.3e-11 4.50
124 2.0e-08 6.0e-05 1.3e-06 9.99e-01 2.536869378e+02 2.536869889e+02 1.1e-11 4.54
125 1.8e-08 5.4e-05 1.2e-06 9.99e-01 2.536869415e+02 2.536869874e+02 1.0e-11 4.57
126 1.8e-08 5.4e-05 1.2e-06 1.00e+00 2.536869415e+02 2.536869874e+02 1.0e-11 4.60
127 1.8e-08 5.4e-05 1.2e-06 1.00e+00 2.536869415e+02 2.536869874e+02 1.0e-11 4.64
128 1.6e-08 4.9e-05 1.1e-06 1.00e+00 2.536869445e+02 2.536869863e+02 9.4e-12 4.67
129 1.6e-08 4.9e-05 1.1e-06 9.99e-01 2.536869445e+02 2.536869863e+02 9.4e-12 4.71
130 1.4e-08 4.4e-05 9.7e-07 1.00e+00 2.536869475e+02 2.536869851e+02 8.4e-12 4.74
131 1.3e-08 4.0e-05 8.7e-07 1.00e+00 2.536869501e+02 2.536869841e+02 7.6e-12 4.77
132 1.2e-08 3.6e-05 7.9e-07 9.99e-01 2.536869524e+02 2.536869832e+02 6.9e-12 4.81
133 1.1e-08 3.3e-05 7.2e-07 1.00e+00 2.536869544e+02 2.536869825e+02 6.3e-12 4.84
134 1.1e-08 3.3e-05 7.2e-07 1.00e+00 2.536869544e+02 2.536869825e+02 6.3e-12 4.88
135 9.6e-09 3.0e-05 6.5e-07 1.00e+00 2.536869565e+02 2.536869817e+02 5.7e-12 4.91
Interior-point optimizer terminated. Time: 4.91.
Optimizer terminated. Time: 4.93
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695647e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698166e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.95 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 0.11
2 4.6e+02 6.0e+02 2.6e+04 -9.35e-01 -1.210471961e+05 9.871250668e+00 2.0e-01 0.14
3 2.9e+02 3.8e+02 1.6e+04 -8.50e-01 -1.158624976e+05 5.253701882e+01 1.3e-01 0.18
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.137381539e+05 1.863811988e+03 1.3e-01 0.21
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.842864603e+04 9.038469632e+03 3.6e-02 0.24
6 3.6e+01 4.7e+01 2.0e+03 -2.53e-01 -4.698030097e+04 1.010176986e+04 1.6e-02 0.27
7 1.8e+01 2.4e+01 1.0e+03 2.76e-01 -2.813348753e+04 6.397683006e+03 8.2e-03 0.30
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.477869519e+04 4.004072530e+03 4.0e-03 0.34
9 5.7e+00 7.4e+00 3.2e+02 8.20e-01 -9.247830068e+03 2.776682050e+03 2.5e-03 0.37
10 1.9e+00 2.5e+00 1.1e+02 9.03e-01 -3.003060438e+03 1.154002794e+03 8.5e-04 0.40
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.419019246e+03 1.010907190e+03 7.0e-04 0.43
12 1.0e+00 1.4e+00 5.7e+01 9.77e-01 -1.494909854e+03 7.263450454e+02 4.5e-04 0.47
13 4.7e-01 7.0e-01 2.7e+01 9.83e-01 -6.134621059e+02 4.375216600e+02 2.1e-04 0.50
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.355955587e+02 3.290669022e+02 1.1e-04 0.54
15 1.0e-01 1.7e-01 5.9e+00 1.00e+00 7.317577760e+00 2.369834172e+02 4.7e-05 0.57
16 5.0e-02 1.0e-01 2.9e+00 1.00e+00 9.073384688e+01 2.038614885e+02 2.3e-05 0.60
17 1.0e-02 1.5e-01 6.3e-01 1.01e+00 1.546017189e+02 1.791070633e+02 5.2e-06 0.64
18 6.2e-03 1.0e-01 3.8e-01 1.01e+00 1.615121015e+02 1.764421345e+02 3.2e-06 0.67
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.694752255e+02 1.734658678e+02 8.7e-07 0.70
20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717779153e+02 1.726253081e+02 1.9e-07 0.74
21 1.4e-04 1.0e-01 9.3e-03 9.93e-01 1.721395928e+02 1.725021457e+02 8.2e-08 0.77
22 8.8e-05 8.3e-02 5.9e-03 1.00e+00 1.722353227e+02 1.724645587e+02 5.2e-08 0.81
23 7.9e-05 7.7e-02 5.3e-03 1.00e+00 1.722533715e+02 1.724597546e+02 4.7e-08 0.84
24 7.1e-05 7.0e-02 4.8e-03 1.00e+00 1.722685694e+02 1.724543187e+02 4.2e-08 0.88
25 6.4e-05 6.4e-02 4.3e-03 1.00e+00 1.722822905e+02 1.724494657e+02 3.8e-08 0.91
26 5.8e-05 5.8e-02 3.9e-03 1.00e+00 1.722946103e+02 1.724450677e+02 3.4e-08 0.95
27 5.2e-05 5.3e-02 3.5e-03 1.00e+00 1.723056854e+02 1.724410960e+02 3.1e-08 0.98
28 4.7e-05 4.9e-02 3.1e-03 1.00e+00 1.723156379e+02 1.724375064e+02 2.8e-08 1.01
29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723245816e+02 1.724342621e+02 2.5e-08 1.05
30 3.8e-05 4.1e-02 2.5e-03 1.00e+00 1.723326187e+02 1.724313300e+02 2.2e-08 1.08
31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723398414e+02 1.724286806e+02 2.0e-08 1.11
32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723463329e+02 1.724262873e+02 1.8e-08 1.15
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723521677e+02 1.724241259e+02 1.6e-08 1.18
34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723574129e+02 1.724221747e+02 1.5e-08 1.21
35 2.2e-05 2.8e-02 1.5e-03 1.00e+00 1.723621285e+02 1.724204137e+02 1.3e-08 1.25
36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723663685e+02 1.724188248e+02 1.2e-08 1.28
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723701811e+02 1.724173914e+02 1.1e-08 1.32
38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723736097e+02 1.724160987e+02 9.6e-09 1.35
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723766931e+02 1.724149331e+02 8.6e-09 1.38
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723794662e+02 1.724138821e+02 7.8e-09 1.42
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723819603e+02 1.724129346e+02 7.0e-09 1.45
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723842037e+02 1.724120805e+02 6.3e-09 1.48
43 9.6e-06 1.6e-02 6.5e-04 1.00e+00 1.723862217e+02 1.724113108e+02 5.7e-09 1.51
44 8.7e-06 1.5e-02 5.8e-04 1.00e+00 1.723880368e+02 1.724106170e+02 5.1e-09 1.55
45 7.8e-06 1.5e-02 5.2e-04 1.00e+00 1.723896697e+02 1.724099919e+02 4.6e-09 1.58
46 7.0e-06 1.4e-02 4.7e-04 1.00e+00 1.723911386e+02 1.724094286e+02 4.1e-09 1.61
47 6.3e-06 1.3e-02 4.3e-04 1.00e+00 1.723924601e+02 1.724089211e+02 3.7e-09 1.64
48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723936489e+02 1.724084639e+02 3.3e-09 1.68
49 5.1e-06 1.2e-02 3.4e-04 1.00e+00 1.723947185e+02 1.724080520e+02 3.0e-09 1.71
50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723956808e+02 1.724076810e+02 2.7e-09 1.74
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965466e+02 1.724073468e+02 2.4e-09 1.78
52 3.7e-06 1.1e-02 2.5e-04 1.00e+00 1.723973256e+02 1.724070458e+02 2.2e-09 1.81
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980265e+02 1.724067747e+02 2.0e-09 1.84
54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986571e+02 1.724065306e+02 1.8e-09 1.87
55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992246e+02 1.724063107e+02 1.6e-09 1.91
56 2.5e-06 9.7e-03 1.6e-04 1.00e+00 1.723997351e+02 1.724061127e+02 1.4e-09 1.94
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001946e+02 1.724059344e+02 1.3e-09 1.97
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724006080e+02 1.724057738e+02 1.2e-09 2.01
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009800e+02 1.724056293e+02 1.1e-09 2.04
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013147e+02 1.724054991e+02 9.5e-10 2.07
61 1.4e-06 8.8e-03 9.7e-05 1.00e+00 1.724016159e+02 1.724053819e+02 8.5e-10 2.11
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018870e+02 1.724052764e+02 7.7e-10 2.14
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021309e+02 1.724051813e+02 6.9e-10 2.17
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023504e+02 1.724050957e+02 6.2e-10 2.21
65 9.5e-07 8.4e-03 6.4e-05 1.00e+00 1.724025478e+02 1.724050187e+02 5.6e-10 2.24
66 8.5e-07 8.3e-03 5.7e-05 1.00e+00 1.724027256e+02 1.724049494e+02 5.0e-10 2.27
67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028855e+02 1.724048869e+02 4.5e-10 2.31
68 6.9e-07 8.1e-03 4.7e-05 1.00e+00 1.724030294e+02 1.724048307e+02 4.1e-10 2.34
69 6.2e-07 8.0e-03 4.2e-05 1.00e+00 1.724031589e+02 1.724047801e+02 3.7e-10 2.37
70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032754e+02 1.724047346e+02 3.3e-10 2.41
71 5.0e-07 7.9e-03 3.4e-05 1.00e+00 1.724033803e+02 1.724046935e+02 3.0e-10 2.44
72 4.5e-07 7.9e-03 3.1e-05 1.00e+00 1.724034747e+02 1.724046566e+02 2.7e-10 2.47
73 4.1e-07 7.8e-03 2.7e-05 1.00e+00 1.724035596e+02 1.724046233e+02 2.4e-10 2.50
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036360e+02 1.724045934e+02 2.2e-10 2.54
75 3.3e-07 7.7e-03 2.2e-05 1.00e+00 1.724037048e+02 1.724045664e+02 1.9e-10 2.57
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037667e+02 1.724045421e+02 1.8e-10 2.60
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038224e+02 1.724045203e+02 1.6e-10 2.64
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038725e+02 1.724045006e+02 1.4e-10 2.67
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039176e+02 1.724044829e+02 1.3e-10 2.70
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039582e+02 1.724044669e+02 1.2e-10 2.73
81 1.8e-07 7.6e-03 1.2e-05 1.00e+00 1.724039947e+02 1.724044525e+02 1.0e-10 2.77
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040276e+02 1.724044396e+02 9.3e-11 2.80
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040572e+02 1.724044280e+02 8.4e-11 2.83
84 1.3e-07 7.5e-03 8.6e-06 1.00e+00 1.724040838e+02 1.724044175e+02 7.5e-11 2.87
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041077e+02 1.724044081e+02 6.8e-11 2.90
86 1.0e-07 7.4e-03 7.0e-06 1.00e+00 1.724041293e+02 1.724043996e+02 6.1e-11 2.93
87 9.4e-08 7.4e-03 6.3e-06 9.98e-01 1.724041487e+02 1.724043920e+02 5.5e-11 2.97
88 8.4e-08 7.4e-03 5.7e-06 1.00e+00 1.724041661e+02 1.724043851e+02 5.0e-11 3.01
89 7.6e-08 7.4e-03 5.1e-06 1.00e+00 1.724041818e+02 1.724043789e+02 4.5e-11 3.04
90 6.8e-08 7.4e-03 4.6e-06 9.99e-01 1.724041960e+02 1.724043733e+02 4.0e-11 3.07
91 6.1e-08 7.4e-03 4.1e-06 1.00e+00 1.724042087e+02 1.724043683e+02 3.6e-11 3.11
92 5.5e-08 7.3e-03 3.7e-06 9.99e-01 1.724042201e+02 1.724043638e+02 3.2e-11 3.14
93 5.0e-08 6.6e-03 3.3e-06 1.01e+00 1.724042306e+02 1.724043596e+02 2.9e-11 3.17
94 4.5e-08 5.9e-03 3.0e-06 9.99e-01 1.724042398e+02 1.724043560e+02 2.6e-11 3.21
95 4.0e-08 5.3e-03 2.7e-06 9.97e-01 1.724042482e+02 1.724043527e+02 2.4e-11 3.24
96 3.6e-08 4.8e-03 2.4e-06 1.00e+00 1.724042557e+02 1.724043498e+02 2.1e-11 3.27
97 3.3e-08 4.3e-03 2.2e-06 1.00e+00 1.724042624e+02 1.724043471e+02 1.9e-11 3.30
98 2.9e-08 3.9e-03 2.0e-06 1.00e+00 1.724042685e+02 1.724043447e+02 1.7e-11 3.34
99 2.6e-08 3.5e-03 1.8e-06 9.99e-01 1.724042739e+02 1.724043425e+02 1.6e-11 3.37
100 2.4e-08 3.2e-03 1.6e-06 1.01e+00 1.724042789e+02 1.724043405e+02 1.4e-11 3.40
101 2.1e-08 2.8e-03 1.4e-06 1.01e+00 1.724042835e+02 1.724043387e+02 1.3e-11 3.44
102 1.9e-08 2.6e-03 1.3e-06 1.00e+00 1.724042875e+02 1.724043372e+02 1.1e-11 3.47
103 1.7e-08 2.3e-03 1.2e-06 9.92e-01 1.724042910e+02 1.724043358e+02 1.0e-11 3.50
104 1.6e-08 2.1e-03 1.0e-06 1.01e+00 1.724042944e+02 1.724043344e+02 9.3e-12 3.54
105 4.2e-09 5.3e-04 2.7e-07 1.02e+00 1.724043156e+02 1.724043258e+02 2.4e-12 3.57
106 3.8e-09 4.8e-04 2.4e-07 9.75e-01 1.724043164e+02 1.724043255e+02 2.1e-12 3.60
107 1.1e-09 1.1e-04 5.7e-08 1.03e+00 1.724043215e+02 1.724043236e+02 4.8e-13 3.63
Interior-point optimizer terminated. Time: 3.64.
Optimizer terminated. Time: 3.66
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432148e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.7240432357e+02 Viol. con: 0e+00 var: 8e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.68 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.289209251e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.267404370e+05 3.637046858e+00 4.8e-01 0.13
2 4.4e+02 5.7e+02 2.4e+04 -9.36e-01 -1.207993249e+05 1.004621964e+01 1.9e-01 0.17
3 2.9e+02 3.8e+02 1.6e+04 -8.43e-01 -1.160618633e+05 5.990663070e+01 1.3e-01 0.20
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.136045212e+05 2.136094278e+03 1.3e-01 0.23
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.752619620e+04 9.316591741e+03 3.5e-02 0.26
6 4.0e+01 5.2e+01 2.2e+03 -2.34e-01 -5.076742667e+04 1.003180104e+04 1.8e-02 0.31
7 3.0e+01 3.9e+01 1.7e+03 2.19e-01 -4.171034972e+04 8.294889429e+03 1.3e-02 0.34
8 1.9e+01 2.4e+01 1.0e+03 3.81e-01 -2.865136980e+04 5.387059786e+03 8.1e-03 0.38
9 7.9e+00 1.0e+01 4.4e+02 6.03e-01 -1.310594253e+04 3.143044654e+03 3.5e-03 0.41
10 4.0e+00 5.2e+00 2.2e+02 8.46e-01 -6.378096932e+03 2.128677587e+03 1.8e-03 0.44
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.514541039e+03 1.314872272e+03 9.9e-04 0.48
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.333948153e+03 6.456455700e+02 4.0e-04 0.51
13 8.2e-01 1.1e+00 4.6e+01 9.70e-01 -1.223648331e+03 5.999353826e+02 3.7e-04 0.54
14 5.9e-01 7.8e-01 3.3e+01 9.74e-01 -8.149788169e+02 4.893550949e+02 2.6e-04 0.57
15 2.2e-01 7.6e-01 1.2e+01 9.90e-01 -1.999804383e+02 2.844534156e+02 9.8e-05 0.61
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.241237638e+01 2.161155968e+02 4.9e-05 0.64
17 7.7e-02 2.8e-01 4.5e+00 1.01e+00 2.681031117e+01 2.015605106e+02 3.6e-05 0.67
18 5.1e-02 2.0e-01 3.0e+00 1.02e+00 7.891995801e+01 1.950359160e+02 2.4e-05 0.70
19 1.4e-02 1.1e-01 8.5e-01 1.00e+00 1.414696227e+02 1.745815915e+02 6.9e-06 0.74
20 4.0e-03 2.2e-01 2.4e-01 1.02e+00 1.602704044e+02 1.696481438e+02 1.9e-06 0.78
21 2.7e-03 2.1e-01 1.6e-01 1.01e+00 1.624283370e+02 1.687369927e+02 1.3e-06 0.81
22 1.9e-03 1.5e-01 1.2e-01 1.00e+00 1.637169744e+02 1.683012370e+02 9.5e-07 0.85
23 7.5e-04 9.5e-02 4.7e-02 1.01e+00 1.658030095e+02 1.676006400e+02 3.8e-07 0.88
24 3.6e-04 7.9e-02 2.3e-02 1.01e+00 1.664694295e+02 1.673480799e+02 1.9e-07 0.90
25 3.3e-04 7.2e-02 2.1e-02 1.01e+00 1.665375488e+02 1.673287278e+02 1.7e-07 0.93
26 3.0e-04 6.6e-02 1.9e-02 1.01e+00 1.665946430e+02 1.673064448e+02 1.5e-07 0.97
27 2.7e-04 6.0e-02 1.7e-02 1.01e+00 1.666462316e+02 1.672866465e+02 1.4e-07 1.00
28 2.4e-04 5.5e-02 1.5e-02 1.01e+00 1.666924262e+02 1.672686292e+02 1.2e-07 1.03
29 2.2e-04 5.0e-02 1.4e-02 1.01e+00 1.667338754e+02 1.672523186e+02 1.1e-07 1.07
30 1.9e-04 4.6e-02 1.2e-02 1.01e+00 1.667710389e+02 1.672375237e+02 9.9e-08 1.10
31 1.7e-04 4.2e-02 1.1e-02 1.01e+00 1.668043611e+02 1.672241042e+02 8.9e-08 1.14
32 1.6e-04 3.8e-02 9.9e-03 1.01e+00 1.668342373e+02 1.672119301e+02 8.0e-08 1.17
33 1.4e-04 3.5e-02 8.9e-03 1.01e+00 1.668610241e+02 1.672008858e+02 7.2e-08 1.20
34 1.3e-04 3.3e-02 8.0e-03 1.01e+00 1.668850419e+02 1.671908674e+02 6.5e-08 1.23
35 1.1e-04 3.0e-02 7.2e-03 1.00e+00 1.669065792e+02 1.671817817e+02 5.8e-08 1.26
36 1.0e-04 2.8e-02 6.5e-03 1.00e+00 1.669258951e+02 1.671735448e+02 5.3e-08 1.30
37 9.3e-05 2.6e-02 5.8e-03 1.00e+00 1.669432216e+02 1.671660802e+02 4.7e-08 1.33
38 8.3e-05 2.4e-02 5.3e-03 1.00e+00 1.669587665e+02 1.671593184e+02 4.3e-08 1.36
39 7.5e-05 2.2e-02 4.7e-03 1.00e+00 1.669727153e+02 1.671531954e+02 3.8e-08 1.39
40 6.8e-05 2.1e-02 4.3e-03 1.00e+00 1.669852339e+02 1.671476529e+02 3.5e-08 1.42
41 6.1e-05 2.0e-02 3.8e-03 1.00e+00 1.669964706e+02 1.671426373e+02 3.1e-08 1.45
42 5.5e-05 1.8e-02 3.4e-03 1.00e+00 1.670065580e+02 1.671381000e+02 2.8e-08 1.49
43 4.9e-05 1.7e-02 3.1e-03 1.00e+00 1.670156148e+02 1.671339963e+02 2.5e-08 1.52
44 4.4e-05 1.6e-02 2.8e-03 1.00e+00 1.670237475e+02 1.671302859e+02 2.3e-08 1.55
45 4.0e-05 1.6e-02 2.5e-03 1.00e+00 1.670310510e+02 1.671269319e+02 2.0e-08 1.58
46 3.6e-05 1.5e-02 2.3e-03 1.00e+00 1.670376108e+02 1.671239008e+02 1.8e-08 1.62
47 3.2e-05 1.4e-02 2.0e-03 1.00e+00 1.670435031e+02 1.671211621e+02 1.7e-08 1.65
48 2.9e-05 1.4e-02 1.8e-03 1.00e+00 1.670487964e+02 1.671186880e+02 1.5e-08 1.69
49 2.6e-05 1.3e-02 1.7e-03 1.00e+00 1.670535522e+02 1.671164535e+02 1.3e-08 1.71
50 2.4e-05 1.3e-02 1.5e-03 1.00e+00 1.670578254e+02 1.671144357e+02 1.2e-08 1.75
51 2.1e-05 1.2e-02 1.3e-03 1.00e+00 1.670616653e+02 1.671126141e+02 1.1e-08 1.81
52 1.9e-05 1.2e-02 1.2e-03 1.00e+00 1.670651161e+02 1.671109697e+02 9.8e-09 1.84
53 1.7e-05 1.1e-02 1.1e-03 1.00e+00 1.670682176e+02 1.671094856e+02 8.8e-09 1.88
54 1.5e-05 1.1e-02 9.7e-04 1.00e+00 1.670710054e+02 1.671081465e+02 7.9e-09 1.91
55 1.4e-05 1.1e-02 8.8e-04 1.00e+00 1.670735113e+02 1.671069383e+02 7.1e-09 1.94
56 1.3e-05 1.0e-02 7.9e-04 1.00e+00 1.670757640e+02 1.671058483e+02 6.4e-09 1.97
57 1.1e-05 1.0e-02 7.1e-04 1.00e+00 1.670777894e+02 1.671048653e+02 5.8e-09 2.00
58 1.0e-05 1.0e-02 6.4e-04 1.00e+00 1.670796103e+02 1.671039787e+02 5.2e-09 2.03
59 9.1e-06 9.8e-03 5.8e-04 1.00e+00 1.670812477e+02 1.671031793e+02 4.7e-09 2.06
60 8.2e-06 9.6e-03 5.2e-04 1.00e+00 1.670827201e+02 1.671024585e+02 4.2e-09 2.10
61 7.4e-06 9.5e-03 4.7e-04 1.00e+00 1.670840442e+02 1.671018088e+02 3.8e-09 2.13
62 6.6e-06 9.3e-03 4.2e-04 1.00e+00 1.670852350e+02 1.671012232e+02 3.4e-09 2.16
63 6.0e-06 9.2e-03 3.8e-04 1.00e+00 1.670863060e+02 1.671006955e+02 3.1e-09 2.19
64 5.4e-06 9.1e-03 3.4e-04 1.00e+00 1.670872693e+02 1.671002199e+02 2.8e-09 2.22
65 2.0e-06 3.4e-03 1.3e-04 1.00e+00 1.670926153e+02 1.670975504e+02 1.1e-09 2.26
66 6.9e-07 1.2e-03 4.4e-05 1.00e+00 1.670947915e+02 1.670964622e+02 3.6e-10 2.29
67 6.2e-07 1.0e-03 3.9e-05 1.00e+00 1.670949059e+02 1.670964094e+02 3.2e-10 2.32
68 5.6e-07 9.4e-04 3.6e-05 1.00e+00 1.670950055e+02 1.670963586e+02 2.9e-10 2.35
69 5.0e-07 8.5e-04 3.2e-05 1.00e+00 1.670950953e+02 1.670963131e+02 2.6e-10 2.39
70 4.5e-07 7.6e-04 2.9e-05 1.00e+00 1.670951760e+02 1.670962721e+02 2.3e-10 2.42
71 4.1e-07 6.9e-04 2.6e-05 1.00e+00 1.670952487e+02 1.670962350e+02 2.1e-10 2.46
72 3.7e-07 6.2e-04 2.3e-05 9.99e-01 1.670953140e+02 1.670962018e+02 1.9e-10 2.49
73 3.3e-07 5.6e-04 2.1e-05 1.00e+00 1.670953728e+02 1.670961718e+02 1.7e-10 2.53
74 3.0e-07 5.0e-04 1.9e-05 1.00e+00 1.670954256e+02 1.670961447e+02 1.5e-10 2.55
75 2.7e-07 4.5e-04 1.7e-05 9.99e-01 1.670954732e+02 1.670961204e+02 1.4e-10 2.59
76 2.4e-07 4.1e-04 1.5e-05 9.99e-01 1.670955160e+02 1.670960985e+02 1.2e-10 2.62
77 2.2e-07 3.7e-04 1.4e-05 9.98e-01 1.670955545e+02 1.670960788e+02 1.1e-10 2.65
78 2.0e-07 3.3e-04 1.2e-05 9.99e-01 1.670955891e+02 1.670960610e+02 1.0e-10 2.69
79 1.8e-07 3.0e-04 1.1e-05 1.00e+00 1.670956203e+02 1.670960450e+02 9.1e-11 2.72
80 1.6e-07 2.7e-04 1.0e-05 9.98e-01 1.670956483e+02 1.670960306e+02 8.2e-11 2.75
81 1.4e-07 2.4e-04 9.0e-06 9.98e-01 1.670956736e+02 1.670960177e+02 7.3e-11 2.78
82 1.3e-07 2.2e-04 8.1e-06 1.00e+00 1.670956963e+02 1.670960060e+02 6.6e-11 2.81
83 1.2e-07 1.9e-04 7.3e-06 1.00e+00 1.670957167e+02 1.670959955e+02 5.9e-11 2.84
84 1.0e-07 1.7e-04 6.6e-06 1.00e+00 1.670957353e+02 1.670959859e+02 5.4e-11 2.88
85 9.3e-08 1.6e-04 5.9e-06 1.00e+00 1.670957519e+02 1.670959773e+02 4.8e-11 2.91
86 8.4e-08 1.4e-04 5.3e-06 1.00e+00 1.670957668e+02 1.670959696e+02 4.3e-11 2.94
87 7.6e-08 1.3e-04 4.8e-06 1.00e+00 1.670957802e+02 1.670959627e+02 3.9e-11 2.97
88 6.8e-08 1.1e-04 4.3e-06 1.01e+00 1.670957924e+02 1.670959564e+02 3.5e-11 3.01
89 6.1e-08 1.0e-04 3.9e-06 9.93e-01 1.670958032e+02 1.670959509e+02 3.2e-11 3.03
90 5.5e-08 9.3e-05 3.5e-06 1.00e+00 1.670958130e+02 1.670959458e+02 2.9e-11 3.06
91 5.0e-08 8.4e-05 3.2e-06 1.00e+00 1.670958218e+02 1.670959413e+02 2.6e-11 3.09
92 4.5e-08 7.5e-05 2.8e-06 9.90e-01 1.670958297e+02 1.670959373e+02 2.3e-11 3.12
93 4.0e-08 6.8e-05 2.6e-06 9.98e-01 1.670958368e+02 1.670959336e+02 2.1e-11 3.15
94 3.6e-08 6.1e-05 2.3e-06 1.00e+00 1.670958431e+02 1.670959303e+02 1.9e-11 3.18
95 3.3e-08 5.5e-05 2.1e-06 9.94e-01 1.670958489e+02 1.670959274e+02 1.7e-11 3.21
96 2.9e-08 4.9e-05 1.9e-06 1.00e+00 1.670958541e+02 1.670959247e+02 1.5e-11 3.24
97 2.6e-08 4.4e-05 1.7e-06 1.00e+00 1.670958588e+02 1.670959223e+02 1.4e-11 3.28
98 2.4e-08 4.0e-05 1.5e-06 1.02e+00 1.670958633e+02 1.670959199e+02 1.2e-11 3.31
99 2.1e-08 3.6e-05 1.4e-06 1.01e+00 1.670958672e+02 1.670959178e+02 1.1e-11 3.34
100 1.9e-08 3.2e-05 1.2e-06 9.87e-01 1.670958705e+02 1.670959161e+02 1.0e-11 3.37
101 1.7e-08 2.9e-05 1.1e-06 9.95e-01 1.670958735e+02 1.670959146e+02 9.1e-12 3.40
Interior-point optimizer terminated. Time: 3.40.
Optimizer terminated. Time: 3.43
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587355e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6709591460e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.45 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.06 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286499306e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264834076e+05 3.586695612e+00 4.8e-01 0.13
2 4.3e+02 5.6e+02 2.4e+04 -9.36e-01 -1.204818461e+05 1.001252429e+01 1.9e-01 0.16
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.157492294e+05 6.085641340e+01 1.3e-01 0.19
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131499809e+05 2.257752102e+03 1.3e-01 0.23
5 7.4e+01 9.6e+01 4.1e+03 -7.55e-01 -7.449026220e+04 9.842630802e+03 3.3e-02 0.25
6 3.6e+01 4.7e+01 2.0e+03 -1.90e-01 -4.726345276e+04 1.026281733e+04 1.6e-02 0.28
7 2.2e+01 2.9e+01 1.3e+03 2.77e-01 -3.297740177e+04 7.148471820e+03 9.9e-03 0.31
8 1.4e+01 1.7e+01 7.5e+02 5.32e-01 -2.145916094e+04 4.808159823e+03 6.0e-03 0.34
9 5.3e+00 6.9e+00 3.0e+02 7.21e-01 -8.768093302e+03 2.417298512e+03 2.4e-03 0.37
10 2.4e+00 3.1e+00 1.3e+02 9.13e-01 -3.743306387e+03 1.405441625e+03 1.1e-03 0.41
11 1.7e+00 2.3e+00 9.8e+01 9.75e-01 -2.706792323e+03 1.075297145e+03 7.8e-04 0.43
12 8.2e-01 1.1e+00 4.6e+01 9.83e-01 -1.189756846e+03 5.993126810e+02 3.7e-04 0.46
13 7.5e-01 1.1e+00 4.2e+01 9.48e-01 -1.109364561e+03 5.596605000e+02 3.4e-04 0.49
14 6.3e-01 8.8e-01 3.5e+01 9.86e-01 -8.799120837e+02 5.072305275e+02 2.8e-04 0.52
15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.584751648e+02 2.542002397e+02 8.4e-05 0.55
16 1.0e-01 1.7e-01 5.9e+00 1.01e+00 -1.976701784e+01 2.098853020e+02 4.7e-05 0.58
17 1.0e-01 1.7e-01 5.8e+00 1.02e+00 -1.808998544e+01 2.102290873e+02 4.7e-05 0.61
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.591149917e+01 2.106371129e+02 4.0e-05 0.64
19 4.3e-02 9.6e-02 2.5e+00 1.01e+00 9.060620209e+01 1.877233822e+02 2.0e-05 0.67
20 1.2e-02 1.9e-01 6.8e-01 1.01e+00 1.471512633e+02 1.733932595e+02 5.5e-06 0.71
21 4.3e-03 3.6e-01 2.6e-01 1.01e+00 1.590131868e+02 1.689664285e+02 2.1e-06 0.74
22 1.2e-03 1.7e-01 7.5e-02 1.01e+00 1.645642739e+02 1.674299278e+02 6.1e-07 0.79
23 6.7e-04 1.2e-01 4.2e-02 9.81e-01 1.654786817e+02 1.670870258e+02 3.5e-07 0.82
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662934590e+02 1.667798059e+02 1.1e-07 0.85
25 6.2e-05 1.1e-01 4.1e-03 1.01e+00 1.665281610e+02 1.666838544e+02 3.5e-08 0.88
26 2.0e-05 1.1e-01 1.4e-03 1.01e+00 1.666013748e+02 1.666531102e+02 1.2e-08 0.92
27 6.5e-06 1.1e-01 4.4e-04 1.00e+00 1.666262006e+02 1.666427255e+02 3.7e-09 0.95
28 2.2e-06 1.0e-01 1.5e-04 1.00e+00 1.666337618e+02 1.666395168e+02 1.3e-09 0.98
29 7.7e-07 9.7e-02 5.3e-05 1.00e+00 1.666363779e+02 1.666383681e+02 4.5e-10 1.02
30 3.4e-07 8.2e-02 2.3e-05 1.00e+00 1.666371515e+02 1.666380160e+02 2.0e-10 1.05
31 7.3e-08 1.8e-02 5.0e-06 1.00e+00 1.666376161e+02 1.666378045e+02 4.3e-11 1.09
32 6.6e-08 1.6e-02 4.5e-06 1.01e+00 1.666376304e+02 1.666377995e+02 3.9e-11 1.12
33 5.9e-08 1.6e-02 4.1e-06 9.89e-01 1.666376419e+02 1.666377941e+02 3.5e-11 1.15
34 5.3e-08 1.5e-02 3.7e-06 9.92e-01 1.666376522e+02 1.666377893e+02 3.1e-11 1.18
35 4.8e-08 1.4e-02 3.3e-06 9.85e-01 1.666376615e+02 1.666377850e+02 2.8e-11 1.22
36 4.3e-08 1.3e-02 3.0e-06 9.79e-01 1.666376699e+02 1.666377812e+02 2.6e-11 1.25
37 3.9e-08 1.3e-02 2.7e-06 1.02e+00 1.666376780e+02 1.666377773e+02 2.3e-11 1.28
38 3.5e-08 1.2e-02 2.4e-06 1.02e+00 1.666376852e+02 1.666377738e+02 2.1e-11 1.31
39 3.1e-08 1.2e-02 2.2e-06 1.01e+00 1.666376915e+02 1.666377709e+02 1.9e-11 1.34
40 2.8e-08 1.2e-02 1.9e-06 1.03e+00 1.666376976e+02 1.666377679e+02 1.7e-11 1.37
41 2.5e-08 1.1e-02 1.7e-06 9.95e-01 1.666377024e+02 1.666377657e+02 1.6e-11 1.41
42 2.3e-08 1.0e-02 1.6e-06 1.04e+00 1.666377075e+02 1.666377632e+02 1.4e-11 1.44
43 2.1e-08 1.0e-02 1.4e-06 1.02e+00 1.666377116e+02 1.666377612e+02 1.3e-11 1.47
44 1.9e-08 9.2e-03 1.3e-06 1.03e+00 1.666377155e+02 1.666377594e+02 1.2e-11 1.50
45 1.7e-08 8.3e-03 1.1e-06 1.06e+00 1.666377192e+02 1.666377576e+02 1.1e-11 1.54
46 1.5e-08 8.1e-03 1.0e-06 9.74e-01 1.666377218e+02 1.666377564e+02 9.9e-12 1.57
47 1.4e-08 7.3e-03 9.3e-07 1.02e+00 1.666377244e+02 1.666377552e+02 9.0e-12 1.60
48 1.2e-08 6.6e-03 8.4e-07 1.00e+00 1.666377265e+02 1.666377542e+02 8.1e-12 1.63
49 1.1e-08 5.9e-03 7.5e-07 1.02e+00 1.666377286e+02 1.666377532e+02 7.3e-12 1.67
50 9.9e-09 5.3e-03 6.8e-07 1.03e+00 1.666377305e+02 1.666377523e+02 6.7e-12 1.70
51 9.0e-09 4.8e-03 6.1e-07 1.01e+00 1.666377321e+02 1.666377516e+02 6.0e-12 1.73
52 4.4e-09 2.8e-04 3.6e-08 8.91e-01 1.666377451e+02 1.666377463e+02 6.4e-13 1.76
Interior-point optimizer terminated. Time: 1.77.
Optimizer terminated. Time: 1.79
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774506e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6663774628e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.81 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 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 -1.286106771e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264423009e+05 3.580365126e+00 4.8e-01 0.11
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.203332342e+05 1.010636174e+01 1.9e-01 0.14
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.156664733e+05 6.247791246e+01 1.3e-01 0.17
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.130152829e+05 2.295884635e+03 1.3e-01 0.20
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.379595816e+04 9.860994670e+03 3.2e-02 0.23
6 3.6e+01 4.6e+01 2.0e+03 -1.80e-01 -4.641909355e+04 1.009611133e+04 1.6e-02 0.26
7 2.1e+01 2.7e+01 1.2e+03 2.91e-01 -3.097467419e+04 6.886215166e+03 9.2e-03 0.28
8 1.2e+01 1.6e+01 6.8e+02 5.65e-01 -1.945486643e+04 4.491369762e+03 5.4e-03 0.31
9 4.7e+00 6.1e+00 2.6e+02 7.53e-01 -7.765140301e+03 2.180673107e+03 2.1e-03 0.34
10 2.3e+00 3.0e+00 1.3e+02 9.26e-01 -3.530364447e+03 1.395528371e+03 1.0e-03 0.37
11 1.5e+00 1.9e+00 8.5e+01 9.77e-01 -2.301315953e+03 9.721197792e+02 6.7e-04 0.40
12 8.5e-01 1.1e+00 4.8e+01 9.85e-01 -1.230529835e+03 6.224921248e+02 3.8e-04 0.43
13 7.5e-01 1.0e+00 4.2e+01 9.54e-01 -1.093829810e+03 5.630525659e+02 3.4e-04 0.46
14 3.7e-01 5.0e-01 2.1e+01 9.85e-01 -4.359020509e+02 3.737956055e+02 1.6e-04 0.48
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.439998340e+02 2.585348482e+02 8.2e-05 0.51
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 4.980001233e+00 2.043015637e+02 4.1e-05 0.54
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.398828015e+01 2.065699604e+02 4.0e-05 0.58
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 5.949231904e+01 1.948373506e+02 2.8e-05 0.61
19 3.0e-02 7.3e-02 1.7e+00 1.01e+00 1.152798782e+02 1.809927552e+02 1.4e-05 0.65
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.525612518e+02 1.716191943e+02 4.0e-06 0.68
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622330935e+02 1.679611431e+02 1.2e-06 0.71
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639702604e+02 1.674409737e+02 7.3e-07 0.75
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656550169e+02 1.668671105e+02 2.6e-07 0.78
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661959799e+02 1.666660328e+02 1.0e-07 0.81
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662326086e+02 1.666555347e+02 9.2e-08 0.85
26 1.6e-04 7.9e-02 1.0e-02 1.01e+00 1.662628634e+02 1.666433549e+02 8.3e-08 0.88
27 1.4e-04 7.2e-02 9.0e-03 1.01e+00 1.662902742e+02 1.666326037e+02 7.5e-08 0.92
28 1.3e-04 6.6e-02 8.1e-03 1.01e+00 1.663148179e+02 1.666228209e+02 6.7e-08 0.95
29 1.2e-04 6.0e-02 7.3e-03 1.01e+00 1.663368444e+02 1.666139699e+02 6.0e-08 0.99
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663566060e+02 1.666059555e+02 5.4e-08 1.02
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663743375e+02 1.665987002e+02 4.9e-08 1.05
32 8.5e-05 4.6e-02 5.3e-03 1.01e+00 1.663902481e+02 1.665921322e+02 4.4e-08 1.08
33 7.6e-05 4.2e-02 4.8e-03 1.01e+00 1.664045261e+02 1.665861873e+02 4.0e-08 1.12
34 6.9e-05 3.8e-02 4.3e-03 1.01e+00 1.664173401e+02 1.665808073e+02 3.6e-08 1.15
35 6.2e-05 3.5e-02 3.9e-03 1.01e+00 1.664288414e+02 1.665759393e+02 3.2e-08 1.18
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664391657e+02 1.665715356e+02 2.9e-08 1.21
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664484345e+02 1.665675528e+02 2.6e-08 1.25
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664567566e+02 1.665639514e+02 2.3e-08 1.28
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664642295e+02 1.665606955e+02 2.1e-08 1.31
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664709405e+02 1.665577525e+02 1.9e-08 1.34
41 3.3e-05 2.2e-02 2.1e-03 1.00e+00 1.664769680e+02 1.665550929e+02 1.7e-08 1.38
42 2.9e-05 2.1e-02 1.9e-03 1.00e+00 1.664823822e+02 1.665526900e+02 1.5e-08 1.41
43 2.7e-05 2.0e-02 1.7e-03 1.00e+00 1.664872459e+02 1.665505192e+02 1.4e-08 1.44
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664916155e+02 1.665485586e+02 1.2e-08 1.47
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664955416e+02 1.665467883e+02 1.1e-08 1.51
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664990697e+02 1.665451899e+02 1.0e-08 1.54
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665022403e+02 1.665437472e+02 9.1e-09 1.57
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665050901e+02 1.665424453e+02 8.2e-09 1.60
49 1.4e-05 1.4e-02 8.9e-04 1.00e+00 1.665076518e+02 1.665412707e+02 7.4e-09 1.64
50 1.3e-05 1.3e-02 8.0e-04 1.00e+00 1.665099547e+02 1.665402111e+02 6.6e-09 1.67
51 1.1e-05 1.3e-02 7.2e-04 1.00e+00 1.665120252e+02 1.665392556e+02 6.0e-09 1.70
52 1.0e-05 1.2e-02 6.5e-04 1.00e+00 1.665138869e+02 1.665383941e+02 5.4e-09 1.73
53 9.3e-06 1.2e-02 5.8e-04 1.00e+00 1.665155612e+02 1.665376174e+02 4.8e-09 1.76
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665170669e+02 1.665369174e+02 4.4e-09 1.79
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665184211e+02 1.665362865e+02 3.9e-09 1.82
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665196392e+02 1.665357180e+02 3.5e-09 1.85
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665207348e+02 1.665352058e+02 3.2e-09 1.88
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217204e+02 1.665347443e+02 2.9e-09 1.92
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226069e+02 1.665343284e+02 2.6e-09 1.95
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234044e+02 1.665339538e+02 2.3e-09 1.97
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241217e+02 1.665336162e+02 2.1e-09 2.00
62 3.6e-06 9.5e-03 2.3e-04 1.00e+00 1.665247669e+02 1.665333120e+02 1.9e-09 2.03
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253473e+02 1.665330379e+02 1.7e-09 2.06
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665258692e+02 1.665327909e+02 1.5e-09 2.08
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263387e+02 1.665325683e+02 1.4e-09 2.11
66 2.4e-06 9.0e-03 1.5e-04 1.00e+00 1.665267610e+02 1.665323677e+02 1.2e-09 2.14
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271409e+02 1.665321869e+02 1.1e-09 2.17
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665274827e+02 1.665320241e+02 1.0e-09 2.20
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665277902e+02 1.665318776e+02 9.0e-10 2.23
70 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.665280667e+02 1.665317454e+02 8.1e-10 2.27
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283156e+02 1.665316264e+02 7.3e-10 2.30
72 1.3e-06 8.5e-03 7.9e-05 1.00e+00 1.665285394e+02 1.665315192e+02 6.5e-10 2.33
73 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.665287408e+02 1.665314227e+02 5.9e-10 2.36
74 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.665289219e+02 1.665313356e+02 5.3e-10 2.39
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290849e+02 1.665312573e+02 4.8e-10 2.42
76 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.665292314e+02 1.665311866e+02 4.3e-10 2.45
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293632e+02 1.665311229e+02 3.9e-10 2.47
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294818e+02 1.665310656e+02 3.5e-10 2.50
79 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.665295884e+02 1.665310138e+02 3.1e-10 2.53
80 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.665296843e+02 1.665309672e+02 2.8e-10 2.56
81 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.665297706e+02 1.665309252e+02 2.5e-10 2.58
82 4.4e-07 8.1e-03 2.7e-05 1.00e+00 1.665298481e+02 1.665308873e+02 2.3e-10 2.61
83 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.665299179e+02 1.665308531e+02 2.1e-10 2.64
84 3.5e-07 8.0e-03 2.2e-05 9.98e-01 1.665299806e+02 1.665308223e+02 1.8e-10 2.68
85 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.665300370e+02 1.665307946e+02 1.7e-10 2.71
86 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.665300877e+02 1.665307695e+02 1.5e-10 2.74
87 2.6e-07 8.0e-03 1.6e-05 1.01e+00 1.665301334e+02 1.665307468e+02 1.3e-10 2.77
88 2.3e-07 8.0e-03 1.5e-05 9.99e-01 1.665301745e+02 1.665307266e+02 1.2e-10 2.81
89 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.665302114e+02 1.665307082e+02 1.1e-10 2.83
90 1.9e-07 7.9e-03 1.2e-05 9.97e-01 1.665302446e+02 1.665306918e+02 9.8e-11 2.87
91 1.7e-07 7.9e-03 1.1e-05 9.94e-01 1.665302744e+02 1.665306771e+02 8.8e-11 2.90
92 1.5e-07 7.9e-03 9.6e-06 9.99e-01 1.665303013e+02 1.665306637e+02 8.0e-11 2.94
93 1.4e-07 7.8e-03 8.6e-06 9.95e-01 1.665303255e+02 1.665306517e+02 7.2e-11 2.97
94 1.2e-07 7.8e-03 7.7e-06 9.93e-01 1.665303472e+02 1.665306409e+02 6.4e-11 3.00
95 1.1e-07 7.0e-03 7.0e-06 1.00e+00 1.665303669e+02 1.665306311e+02 5.8e-11 3.02
96 1.0e-07 6.3e-03 6.3e-06 9.95e-01 1.665303845e+02 1.665306223e+02 5.2e-11 3.05
97 9.0e-08 5.7e-03 5.6e-06 1.01e+00 1.665304006e+02 1.665306142e+02 4.7e-11 3.08
98 8.1e-08 5.1e-03 5.1e-06 9.96e-01 1.665304148e+02 1.665306071e+02 4.2e-11 3.10
99 7.3e-08 4.6e-03 4.6e-06 1.01e+00 1.665304280e+02 1.665306005e+02 3.8e-11 3.14
100 6.5e-08 4.1e-03 4.1e-06 1.00e+00 1.665304395e+02 1.665305947e+02 3.4e-11 3.17
101 5.9e-08 3.7e-03 3.7e-06 9.83e-01 1.665304498e+02 1.665305896e+02 3.1e-11 3.21
102 5.3e-08 3.4e-03 3.3e-06 9.84e-01 1.665304591e+02 1.665305850e+02 2.8e-11 3.24
103 4.8e-08 3.0e-03 3.0e-06 1.00e+00 1.665304675e+02 1.665305808e+02 2.5e-11 3.27
104 4.3e-08 2.7e-03 2.7e-06 1.03e+00 1.665304760e+02 1.665305764e+02 2.3e-11 3.31
105 3.9e-08 2.4e-03 2.4e-06 9.97e-01 1.665304827e+02 1.665305731e+02 2.1e-11 3.34
106 3.5e-08 2.2e-03 2.2e-06 1.01e+00 1.665304890e+02 1.665305699e+02 1.9e-11 3.37
107 3.1e-08 2.0e-03 2.0e-06 9.87e-01 1.665304944e+02 1.665305672e+02 1.7e-11 3.40
108 2.8e-08 1.8e-03 1.8e-06 9.57e-01 1.665304992e+02 1.665305649e+02 1.5e-11 3.43
109 2.5e-08 1.6e-03 1.6e-06 1.00e+00 1.665305036e+02 1.665305627e+02 1.4e-11 3.46
110 2.3e-08 1.4e-03 1.4e-06 1.01e+00 1.665305076e+02 1.665305607e+02 1.2e-11 3.49
111 2.1e-08 1.3e-03 1.3e-06 9.87e-01 1.665305112e+02 1.665305589e+02 1.1e-11 3.52
112 1.9e-08 1.2e-03 1.2e-06 1.03e+00 1.665305148e+02 1.665305571e+02 1.0e-11 3.56
113 1.7e-08 1.1e-03 1.0e-06 1.06e+00 1.665305184e+02 1.665305551e+02 9.4e-12 3.58
114 1.5e-08 9.5e-04 9.4e-07 9.85e-01 1.665305208e+02 1.665305539e+02 8.4e-12 3.62
115 1.3e-08 8.5e-04 8.5e-07 1.02e+00 1.665305233e+02 1.665305527e+02 7.7e-12 3.65
116 1.2e-08 7.7e-04 7.6e-07 1.06e+00 1.665305257e+02 1.665305514e+02 7.1e-12 3.67
117 1.1e-08 6.9e-04 6.9e-07 1.07e+00 1.665305280e+02 1.665305502e+02 6.6e-12 3.71
118 9.9e-09 6.2e-04 6.2e-07 9.69e-01 1.665305295e+02 1.665305495e+02 5.9e-12 3.74
119 8.9e-09 5.6e-04 5.6e-07 9.34e-01 1.665305308e+02 1.665305489e+02 5.4e-12 3.77
120 8.0e-09 5.0e-04 5.0e-07 9.68e-01 1.665305320e+02 1.665305483e+02 4.8e-12 3.80
121 7.3e-09 4.5e-04 4.5e-07 1.26e+00 1.665305332e+02 1.665305476e+02 4.3e-12 3.84
122 6.6e-09 4.1e-04 4.1e-07 1.13e+00 1.665305347e+02 1.665305468e+02 4.1e-12 3.87
123 6.0e-09 3.7e-04 3.6e-07 1.05e+00 1.665305357e+02 1.665305463e+02 3.8e-12 3.90
124 5.4e-09 3.3e-04 3.3e-07 8.98e-01 1.665305364e+02 1.665305460e+02 3.4e-12 3.93
125 4.8e-09 3.0e-04 3.0e-07 9.25e-01 1.665305371e+02 1.665305457e+02 3.1e-12 3.96
126 4.4e-09 2.7e-04 2.7e-07 1.08e+00 1.665305379e+02 1.665305453e+02 2.9e-12 3.99
127 4.1e-09 2.4e-04 2.4e-07 1.07e+00 1.665305385e+02 1.665305450e+02 2.7e-12 4.02
128 3.8e-09 2.2e-04 2.2e-07 1.01e+00 1.665305390e+02 1.665305448e+02 2.4e-12 4.05
129 9.5e-10 2.3e-05 2.3e-08 1.00e+00 1.665305425e+02 1.665305431e+02 2.5e-13 4.09
Interior-point optimizer terminated. Time: 4.09.
Optimizer terminated. Time: 4.12
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054251e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6653054312e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.14 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 -1.286069771e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264280195e+05 3.575761925e+00 4.8e-01 0.10
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.202644018e+05 1.018045619e+01 1.9e-01 0.12
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.155864887e+05 6.347812564e+01 1.2e-01 0.15
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.129604929e+05 2.275510576e+03 1.2e-01 0.19
5 7.5e+01 9.6e+01 4.2e+03 -7.53e-01 -7.467600318e+04 9.661759440e+03 3.3e-02 0.22
6 3.3e+01 4.2e+01 1.8e+03 -1.93e-01 -4.344577294e+04 1.030575744e+04 1.4e-02 0.25
7 1.9e+01 2.5e+01 1.1e+03 3.43e-01 -2.866905837e+04 6.921978552e+03 8.5e-03 0.28
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.820599788e+04 4.395208059e+03 5.0e-03 0.31
9 4.5e+00 5.8e+00 2.5e+02 7.73e-01 -7.371155244e+03 2.103309639e+03 2.0e-03 0.35
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.215001037e+03 1.325825109e+03 9.3e-04 0.38
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.014774578e+03 8.899293112e+02 6.0e-04 0.41
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.165875709e+03 6.060239297e+02 3.6e-04 0.45
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.120623167e+02 5.060782950e+02 2.9e-04 0.48
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.191572821e+02 3.802501944e+02 1.6e-04 0.52
15 1.8e-01 2.4e-01 1.0e+01 9.93e-01 -1.346764944e+02 2.582551769e+02 8.0e-05 0.55
16 7.9e-02 1.4e-01 4.6e+00 1.01e+00 2.126653329e+01 1.996184466e+02 3.7e-05 0.58
17 6.8e-02 1.2e-01 3.9e+00 1.02e+00 4.474425638e+01 1.978730667e+02 3.2e-05 0.62
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.178033261e+02 1.806432860e+02 1.3e-05 0.65
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.531904177e+02 1.714403478e+02 3.8e-06 0.69
20 2.9e-03 2.3e-01 1.7e-01 1.00e+00 1.613914581e+02 1.680581404e+02 1.4e-06 0.72
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635874822e+02 1.674597010e+02 8.2e-07 0.75
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656228667e+02 1.668056640e+02 2.5e-07 0.79
23 1.9e-04 1.0e-01 1.2e-02 1.01e+00 1.661602313e+02 1.666051094e+02 9.7e-08 0.82
24 8.5e-05 8.7e-02 5.4e-03 1.01e+00 1.663313621e+02 1.665357320e+02 4.5e-08 0.86
25 3.9e-05 7.9e-02 2.5e-03 1.01e+00 1.664099133e+02 1.665032856e+02 2.1e-08 0.89
26 3.5e-05 7.2e-02 2.2e-03 1.01e+00 1.664180516e+02 1.665021111e+02 1.9e-08 0.92
27 3.1e-05 6.6e-02 2.0e-03 1.01e+00 1.664237633e+02 1.664993880e+02 1.7e-08 0.95
28 2.8e-05 6.0e-02 1.8e-03 1.01e+00 1.664290322e+02 1.664970799e+02 1.5e-08 0.98
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664337464e+02 1.664949765e+02 1.4e-08 1.02
30 2.3e-05 5.0e-02 1.5e-03 1.01e+00 1.664379839e+02 1.664930808e+02 1.2e-08 1.05
31 2.1e-05 4.6e-02 1.3e-03 1.00e+00 1.664417900e+02 1.664913688e+02 1.1e-08 1.08
32 1.8e-05 4.2e-02 1.2e-03 1.00e+00 1.664452096e+02 1.664898237e+02 1.0e-08 1.12
33 1.7e-05 3.9e-02 1.1e-03 1.00e+00 1.664482822e+02 1.664884294e+02 9.0e-09 1.14
34 1.5e-05 3.6e-02 9.6e-04 1.00e+00 1.664510434e+02 1.664871714e+02 8.1e-09 1.18
35 1.3e-05 3.3e-02 8.6e-04 1.00e+00 1.664535249e+02 1.664860365e+02 7.3e-09 1.21
36 1.2e-05 3.0e-02 7.8e-04 1.00e+00 1.664557554e+02 1.664850129e+02 6.5e-09 1.25
37 1.1e-05 2.8e-02 7.0e-04 1.00e+00 1.664577605e+02 1.664840899e+02 5.9e-09 1.28
38 9.8e-06 2.6e-02 6.3e-04 1.00e+00 1.664595631e+02 1.664832577e+02 5.3e-09 1.32
39 8.8e-06 2.4e-02 5.7e-04 1.00e+00 1.664611838e+02 1.664825074e+02 4.8e-09 1.34
40 8.0e-06 2.3e-02 5.1e-04 1.00e+00 1.664626411e+02 1.664818312e+02 4.3e-09 1.37
41 7.2e-06 2.1e-02 4.6e-04 1.00e+00 1.664639517e+02 1.664812217e+02 3.9e-09 1.40
42 6.4e-06 2.0e-02 4.1e-04 1.00e+00 1.664651303e+02 1.664806725e+02 3.5e-09 1.43
43 5.8e-06 1.9e-02 3.7e-04 1.00e+00 1.664661904e+02 1.664801778e+02 3.1e-09 1.46
44 5.2e-06 1.7e-02 3.3e-04 1.00e+00 1.664671439e+02 1.664797321e+02 2.8e-09 1.49
45 4.7e-06 1.6e-02 3.0e-04 1.00e+00 1.664680016e+02 1.664793305e+02 2.5e-09 1.52
46 4.2e-06 1.6e-02 2.7e-04 1.00e+00 1.664687731e+02 1.664789689e+02 2.3e-09 1.55
47 3.8e-06 1.5e-02 2.4e-04 1.00e+00 1.664694672e+02 1.664786431e+02 2.1e-09 1.59
48 3.4e-06 1.4e-02 2.2e-04 1.00e+00 1.664700915e+02 1.664783497e+02 1.8e-09 1.62
49 3.1e-06 1.3e-02 2.0e-04 1.00e+00 1.664706532e+02 1.664780853e+02 1.7e-09 1.65
50 2.8e-06 1.3e-02 1.8e-04 1.00e+00 1.664711584e+02 1.664778473e+02 1.5e-09 1.68
51 2.5e-06 1.2e-02 1.6e-04 1.00e+00 1.664716130e+02 1.664776329e+02 1.3e-09 1.71
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664720220e+02 1.664774399e+02 1.2e-09 1.74
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664723901e+02 1.664772661e+02 1.1e-09 1.78
54 1.8e-06 1.1e-02 1.2e-04 1.00e+00 1.664727213e+02 1.664771097e+02 9.8e-10 1.80
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664730194e+02 1.664769689e+02 8.8e-10 1.84
56 1.5e-06 1.0e-02 9.4e-05 1.00e+00 1.664732876e+02 1.664768422e+02 8.0e-10 1.87
57 1.3e-06 1.0e-02 8.5e-05 1.00e+00 1.664735290e+02 1.664767281e+02 7.2e-10 1.90
58 1.2e-06 9.9e-03 7.6e-05 1.00e+00 1.664737463e+02 1.664766254e+02 6.5e-10 1.93
59 1.1e-06 9.6e-03 6.9e-05 1.00e+00 1.664739418e+02 1.664765330e+02 5.8e-10 1.96
60 9.7e-07 9.4e-03 6.2e-05 1.00e+00 1.664741177e+02 1.664764498e+02 5.2e-10 1.99
61 8.7e-07 9.2e-03 5.6e-05 1.00e+00 1.664742760e+02 1.664763749e+02 4.7e-10 2.03
62 7.8e-07 9.1e-03 5.0e-05 1.00e+00 1.664744185e+02 1.664763075e+02 4.2e-10 2.07
63 7.1e-07 8.9e-03 4.5e-05 1.00e+00 1.664745466e+02 1.664762467e+02 3.8e-10 2.09
64 6.3e-07 8.8e-03 4.1e-05 1.00e+00 1.664746620e+02 1.664761920e+02 3.4e-10 2.12
65 5.7e-07 8.7e-03 3.7e-05 1.00e+00 1.664747657e+02 1.664761428e+02 3.1e-10 2.15
66 5.1e-07 8.6e-03 3.3e-05 1.00e+00 1.664748591e+02 1.664760985e+02 2.8e-10 2.18
67 4.6e-07 8.5e-03 3.0e-05 1.00e+00 1.664749430e+02 1.664760584e+02 2.5e-10 2.21
68 4.2e-07 8.4e-03 2.7e-05 1.00e+00 1.664750186e+02 1.664760224e+02 2.3e-10 2.24
69 3.7e-07 8.3e-03 2.4e-05 1.00e+00 1.664750865e+02 1.664759899e+02 2.0e-10 2.27
70 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664751476e+02 1.664759607e+02 1.8e-10 2.30
71 3.0e-07 8.2e-03 1.9e-05 1.00e+00 1.664752026e+02 1.664759344e+02 1.6e-10 2.33
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752521e+02 1.664759106e+02 1.5e-10 2.36
73 2.5e-07 8.1e-03 1.6e-05 1.00e+00 1.664752966e+02 1.664758893e+02 1.3e-10 2.39
74 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664753366e+02 1.664758700e+02 1.2e-10 2.42
75 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664753727e+02 1.664758527e+02 1.1e-10 2.45
76 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.664754051e+02 1.664758370e+02 9.7e-11 2.48
77 1.6e-07 7.9e-03 1.0e-05 9.97e-01 1.664754342e+02 1.664758231e+02 8.7e-11 2.51
78 1.5e-07 7.8e-03 9.3e-06 9.99e-01 1.664754605e+02 1.664758104e+02 7.8e-11 2.54
79 1.3e-07 7.8e-03 8.4e-06 9.98e-01 1.664754841e+02 1.664757991e+02 7.1e-11 2.58
80 1.2e-07 7.8e-03 7.5e-06 9.98e-01 1.664755053e+02 1.664757889e+02 6.4e-11 2.61
81 1.1e-07 7.7e-03 6.8e-06 1.00e+00 1.664755245e+02 1.664757796e+02 5.7e-11 2.64
82 9.5e-08 7.7e-03 6.1e-06 1.00e+00 1.664755417e+02 1.664757713e+02 5.1e-11 2.67
83 8.6e-08 7.7e-03 5.5e-06 9.98e-01 1.664755572e+02 1.664757638e+02 4.6e-11 2.70
84 7.7e-08 6.9e-03 4.9e-06 1.01e+00 1.664755713e+02 1.664757570e+02 4.2e-11 2.74
85 6.9e-08 6.2e-03 4.4e-06 1.01e+00 1.664755841e+02 1.664757507e+02 3.8e-11 2.77
86 6.3e-08 5.6e-03 4.0e-06 1.00e+00 1.664755955e+02 1.664757452e+02 3.4e-11 2.80
87 5.6e-08 5.0e-03 3.6e-06 1.01e+00 1.664756059e+02 1.664757402e+02 3.1e-11 2.83
88 5.1e-08 4.5e-03 3.2e-06 9.97e-01 1.664756149e+02 1.664757358e+02 2.8e-11 2.86
89 4.6e-08 4.1e-03 2.9e-06 9.99e-01 1.664756231e+02 1.664757319e+02 2.5e-11 2.90
90 4.1e-08 3.7e-03 2.6e-06 1.02e+00 1.664756310e+02 1.664757280e+02 2.3e-11 2.93
91 3.7e-08 3.3e-03 2.4e-06 9.99e-01 1.664756375e+02 1.664757249e+02 2.0e-11 2.96
92 3.3e-08 3.0e-03 2.1e-06 1.00e+00 1.664756434e+02 1.664757220e+02 1.8e-11 2.99
93 3.0e-08 2.7e-03 1.9e-06 1.03e+00 1.664756493e+02 1.664757191e+02 1.7e-11 3.02
94 2.7e-08 2.4e-03 1.7e-06 9.78e-01 1.664756540e+02 1.664757169e+02 1.5e-11 3.06
95 2.4e-08 2.2e-03 1.6e-06 1.02e+00 1.664756587e+02 1.664757146e+02 1.4e-11 3.09
96 2.2e-08 2.0e-03 1.4e-06 9.88e-01 1.664756625e+02 1.664757128e+02 1.2e-11 3.12
97 2.0e-08 1.8e-03 1.3e-06 1.01e+00 1.664756660e+02 1.664757111e+02 1.1e-11 3.15
98 1.8e-08 1.6e-03 1.1e-06 9.80e-01 1.664756691e+02 1.664757097e+02 1.0e-11 3.18
99 1.6e-08 1.4e-03 1.0e-06 1.02e+00 1.664756721e+02 1.664757082e+02 9.1e-12 3.21
100 1.4e-08 1.3e-03 9.2e-07 1.04e+00 1.664756749e+02 1.664757068e+02 8.3e-12 3.24
101 1.3e-08 1.2e-03 8.2e-07 9.57e-01 1.664756770e+02 1.664757058e+02 7.5e-12 3.28
102 1.2e-08 1.0e-03 7.4e-07 1.01e+00 1.664756790e+02 1.664757049e+02 6.7e-12 3.31
103 1.0e-08 9.4e-04 6.7e-07 1.01e+00 1.664756809e+02 1.664757040e+02 6.1e-12 3.34
104 9.4e-09 8.4e-04 6.0e-07 1.01e+00 1.664756825e+02 1.664757032e+02 5.5e-12 3.37
105 2.9e-09 1.8e-04 1.3e-07 1.06e+00 1.664756934e+02 1.664756977e+02 1.1e-12 3.40
106 6.2e-10 1.0e-05 7.2e-09 9.55e-01 1.664756963e+02 1.664756966e+02 8.4e-14 3.44
Interior-point optimizer terminated. Time: 3.44.
Optimizer terminated. Time: 3.47
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569634e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.6647569658e+02 Viol. con: 0e+00 var: 6e-05
* 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 : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285358087e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263542063e+05 3.574444517e+00 4.8e-01 0.12
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201588281e+05 1.021568657e+01 1.9e-01 0.15
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154718881e+05 6.400000728e+01 1.2e-01 0.19
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.128613727e+05 2.263785688e+03 1.2e-01 0.22
5 7.5e+01 9.7e+01 4.2e+03 -7.52e-01 -7.480766413e+04 9.600093059e+03 3.3e-02 0.25
6 3.0e+01 3.9e+01 1.7e+03 -1.96e-01 -4.068275147e+04 1.026882283e+04 1.3e-02 0.28
7 1.8e+01 2.3e+01 1.0e+03 3.91e-01 -2.712643527e+04 6.680810327e+03 7.9e-03 0.32
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.569357962e+04 3.889211626e+03 4.3e-03 0.35
9 3.9e+00 5.0e+00 2.2e+02 8.12e-01 -6.429988405e+03 1.893875705e+03 1.7e-03 0.38
10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.286675626e+03 1.204163369e+03 9.2e-04 0.41
11 1.0e+00 1.3e+00 5.9e+01 9.80e-01 -1.544944222e+03 7.355129989e+02 4.7e-04 0.45
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.184097881e+03 6.013199243e+02 3.6e-04 0.48
13 4.8e-01 6.2e-01 2.7e+01 9.74e-01 -6.380896356e+02 4.207578841e+02 2.1e-04 0.51
14 2.6e-01 3.6e-01 1.5e+01 1.00e+00 -2.718685016e+02 3.084885291e+02 1.2e-04 0.55
15 9.7e-02 1.5e-01 5.5e+00 1.00e+00 -1.010362887e+01 2.072406982e+02 4.5e-05 0.58
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.582641763e+01 2.085963758e+02 4.0e-05 0.61
17 5.3e-02 8.8e-02 3.1e+00 1.02e+00 7.254653001e+01 1.918828317e+02 2.5e-05 0.65
18 2.3e-02 6.9e-02 1.3e+00 1.02e+00 1.266825670e+02 1.778023547e+02 1.1e-05 0.68
19 6.2e-03 2.3e-01 3.7e-01 1.01e+00 1.562563524e+02 1.702786065e+02 2.9e-06 0.71
20 3.1e-03 3.1e-01 1.8e-01 1.00e+00 1.610365182e+02 1.681099918e+02 1.5e-06 0.75
21 1.6e-03 1.7e-01 9.8e-02 1.01e+00 1.636145670e+02 1.673813493e+02 8.0e-07 0.78
22 4.9e-04 1.4e-01 3.0e-02 1.01e+00 1.656242936e+02 1.667725264e+02 2.5e-07 0.81
23 3.1e-04 1.1e-01 1.9e-02 9.98e-01 1.659258805e+02 1.666521354e+02 1.6e-07 0.84
24 1.9e-04 7.7e-02 1.2e-02 9.85e-01 1.661267336e+02 1.665737770e+02 9.7e-08 0.88
25 1.7e-04 6.6e-02 1.0e-02 9.99e-01 1.661696543e+02 1.665612776e+02 8.5e-08 0.91
26 1.5e-04 6.0e-02 9.3e-03 1.01e+00 1.661982710e+02 1.665504906e+02 7.7e-08 0.94
27 1.3e-04 5.5e-02 8.4e-03 1.01e+00 1.662230883e+02 1.665399584e+02 6.9e-08 0.97
28 1.2e-04 5.0e-02 7.5e-03 1.01e+00 1.662455638e+02 1.665306789e+02 6.2e-08 1.00
29 1.1e-04 4.6e-02 6.8e-03 1.01e+00 1.662656995e+02 1.665222471e+02 5.6e-08 1.04
30 9.8e-05 4.2e-02 6.1e-03 1.01e+00 1.662837729e+02 1.665146203e+02 5.0e-08 1.07
31 8.8e-05 3.8e-02 5.5e-03 1.01e+00 1.662999909e+02 1.665077167e+02 4.5e-08 1.10
32 7.9e-05 3.5e-02 4.9e-03 1.01e+00 1.663145456e+02 1.665014691e+02 4.1e-08 1.13
33 7.1e-05 3.3e-02 4.4e-03 1.00e+00 1.663276083e+02 1.664958155e+02 3.7e-08 1.16
34 6.4e-05 3.0e-02 4.0e-03 1.00e+00 1.663393327e+02 1.664907000e+02 3.3e-08 1.19
35 5.8e-05 2.8e-02 3.6e-03 1.00e+00 1.663498570e+02 1.664860721e+02 3.0e-08 1.23
36 5.2e-05 2.6e-02 3.2e-03 1.00e+00 1.663593049e+02 1.664818863e+02 2.7e-08 1.26
37 4.7e-05 2.4e-02 2.9e-03 1.00e+00 1.663677875e+02 1.664781010e+02 2.4e-08 1.29
38 4.2e-05 2.2e-02 2.6e-03 1.00e+00 1.663754042e+02 1.664746786e+02 2.2e-08 1.32
39 3.8e-05 2.1e-02 2.4e-03 1.00e+00 1.663822442e+02 1.664715850e+02 2.0e-08 1.36
40 3.4e-05 1.9e-02 2.1e-03 1.00e+00 1.663883871e+02 1.664687891e+02 1.8e-08 1.39
41 3.1e-05 1.8e-02 1.9e-03 1.00e+00 1.663939046e+02 1.664662626e+02 1.6e-08 1.42
42 2.8e-05 1.7e-02 1.7e-03 1.00e+00 1.663988607e+02 1.664639799e+02 1.4e-08 1.45
43 2.5e-05 1.6e-02 1.6e-03 1.00e+00 1.664033128e+02 1.664619179e+02 1.3e-08 1.49
44 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664073126e+02 1.664600554e+02 1.2e-08 1.52
45 2.0e-05 1.5e-02 1.3e-03 1.00e+00 1.664109061e+02 1.664583733e+02 1.0e-08 1.55
46 1.8e-05 1.4e-02 1.1e-03 1.00e+00 1.664141349e+02 1.664568544e+02 9.4e-09 1.58
47 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664170362e+02 1.664554829e+02 8.4e-09 1.61
48 1.5e-05 1.3e-02 9.2e-04 1.00e+00 1.664196433e+02 1.664542448e+02 7.6e-09 1.65
49 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664219862e+02 1.664531272e+02 6.8e-09 1.68
50 1.2e-05 1.2e-02 7.4e-04 1.00e+00 1.664240919e+02 1.664521185e+02 6.2e-09 1.71
51 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.664259845e+02 1.664512082e+02 5.5e-09 1.74
52 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664276857e+02 1.664503869e+02 5.0e-09 1.78
53 8.6e-06 1.1e-02 5.4e-04 1.00e+00 1.664292149e+02 1.664496460e+02 4.5e-09 1.81
54 7.8e-06 1.0e-02 4.9e-04 1.00e+00 1.664305896e+02 1.664489776e+02 4.0e-09 1.84
55 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318256e+02 1.664483747e+02 3.6e-09 1.87
56 6.3e-06 9.9e-03 3.9e-04 1.00e+00 1.664329368e+02 1.664478311e+02 3.3e-09 1.90
57 5.7e-06 9.7e-03 3.5e-04 1.00e+00 1.664339359e+02 1.664473409e+02 2.9e-09 1.94
58 5.1e-06 9.6e-03 3.2e-04 1.00e+00 1.664348343e+02 1.664468988e+02 2.7e-09 1.97
59 4.6e-06 9.4e-03 2.9e-04 1.00e+00 1.664356422e+02 1.664465003e+02 2.4e-09 2.01
60 4.1e-06 9.2e-03 2.6e-04 1.00e+00 1.664363686e+02 1.664461410e+02 2.1e-09 2.04
61 3.7e-06 9.1e-03 2.3e-04 1.00e+00 1.664370218e+02 1.664458170e+02 1.9e-09 2.07
62 3.3e-06 9.0e-03 2.1e-04 1.00e+00 1.664376092e+02 1.664455249e+02 1.7e-09 2.11
63 3.0e-06 8.9e-03 1.9e-04 1.00e+00 1.664381374e+02 1.664452616e+02 1.6e-09 2.13
64 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386124e+02 1.664450243e+02 1.4e-09 2.17
65 2.4e-06 8.7e-03 1.5e-04 1.00e+00 1.664390397e+02 1.664448105e+02 1.3e-09 2.20
66 2.2e-06 8.6e-03 1.4e-04 1.00e+00 1.664394240e+02 1.664446178e+02 1.1e-09 2.23
67 2.0e-06 8.5e-03 1.2e-04 1.00e+00 1.664397697e+02 1.664444442e+02 1.0e-09 2.29
68 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400808e+02 1.664442878e+02 9.3e-10 2.32
69 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403606e+02 1.664441470e+02 8.3e-10 2.35
70 1.4e-06 8.3e-03 9.0e-05 1.00e+00 1.664406123e+02 1.664440201e+02 7.5e-10 2.38
71 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408388e+02 1.664439058e+02 6.7e-10 2.41
72 1.2e-06 8.2e-03 7.3e-05 1.00e+00 1.664410425e+02 1.664438029e+02 6.1e-10 2.44
73 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412258e+02 1.664437102e+02 5.5e-10 2.48
74 9.5e-07 8.1e-03 5.9e-05 1.00e+00 1.664413907e+02 1.664436267e+02 4.9e-10 2.51
75 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415391e+02 1.664435515e+02 4.4e-10 2.54
76 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416726e+02 1.664434837e+02 4.0e-10 2.57
77 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417926e+02 1.664434227e+02 3.6e-10 2.60
78 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419007e+02 1.664433677e+02 3.2e-10 2.63
79 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664419979e+02 1.664433182e+02 2.9e-10 2.66
80 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420853e+02 1.664432736e+02 2.6e-10 2.69
81 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421639e+02 1.664432334e+02 2.4e-10 2.72
82 4.1e-07 7.8e-03 2.5e-05 1.00e+00 1.664422347e+02 1.664431972e+02 2.1e-10 2.76
83 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422983e+02 1.664431646e+02 1.9e-10 2.79
84 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423556e+02 1.664431353e+02 1.7e-10 2.82
85 3.0e-07 7.7e-03 1.9e-05 9.98e-01 1.664424071e+02 1.664431089e+02 1.5e-10 2.85
86 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424535e+02 1.664430851e+02 1.4e-10 2.88
87 2.4e-07 7.7e-03 1.5e-05 9.99e-01 1.664424952e+02 1.664430637e+02 1.3e-10 2.91
88 2.2e-07 7.7e-03 1.4e-05 9.98e-01 1.664425327e+02 1.664430444e+02 1.1e-10 2.95
89 1.9e-07 7.6e-03 1.2e-05 1.00e+00 1.664425665e+02 1.664430271e+02 1.0e-10 2.98
90 1.8e-07 7.6e-03 1.1e-05 9.99e-01 1.664425969e+02 1.664430115e+02 9.1e-11 3.01
91 1.6e-07 7.6e-03 9.9e-06 9.99e-01 1.664426243e+02 1.664429974e+02 8.2e-11 3.04
92 1.4e-07 7.6e-03 8.9e-06 1.00e+00 1.664426490e+02 1.664429847e+02 7.4e-11 3.07
93 1.3e-07 7.6e-03 8.0e-06 1.00e+00 1.664426711e+02 1.664429733e+02 6.6e-11 3.10
94 1.2e-07 7.6e-03 7.2e-06 9.95e-01 1.664426911e+02 1.664429631e+02 6.0e-11 3.13
95 1.0e-07 7.5e-03 6.5e-06 9.95e-01 1.664427090e+02 1.664429539e+02 5.4e-11 3.16
96 9.3e-08 6.8e-03 5.8e-06 1.00e+00 1.664427252e+02 1.664429456e+02 4.8e-11 3.20
97 8.4e-08 6.1e-03 5.2e-06 9.93e-01 1.664427398e+02 1.664429382e+02 4.4e-11 3.23
98 7.5e-08 5.5e-03 4.7e-06 9.95e-01 1.664427529e+02 1.664429315e+02 3.9e-11 3.26
99 6.8e-08 4.9e-03 4.3e-06 1.00e+00 1.664427647e+02 1.664429253e+02 3.5e-11 3.29
100 6.1e-08 4.4e-03 3.8e-06 1.01e+00 1.664427754e+02 1.664429198e+02 3.2e-11 3.32
101 5.5e-08 4.0e-03 3.4e-06 9.99e-01 1.664427850e+02 1.664429149e+02 2.9e-11 3.35
102 5.0e-08 3.6e-03 3.1e-06 1.01e+00 1.664427939e+02 1.664429102e+02 2.6e-11 3.38
103 4.5e-08 3.2e-03 2.8e-06 1.01e+00 1.664428018e+02 1.664429062e+02 2.3e-11 3.41
104 4.0e-08 2.9e-03 2.5e-06 9.92e-01 1.664428087e+02 1.664429027e+02 2.1e-11 3.44
105 3.6e-08 2.6e-03 2.3e-06 9.87e-01 1.664428149e+02 1.664428995e+02 1.9e-11 3.47
106 3.2e-08 2.4e-03 2.0e-06 1.02e+00 1.664428209e+02 1.664428964e+02 1.7e-11 3.49
107 2.9e-08 2.1e-03 1.8e-06 1.02e+00 1.664428263e+02 1.664428935e+02 1.6e-11 3.53
108 2.6e-08 1.9e-03 1.6e-06 1.04e+00 1.664428316e+02 1.664428907e+02 1.4e-11 3.56
109 2.4e-08 1.7e-03 1.5e-06 1.02e+00 1.664428358e+02 1.664428886e+02 1.3e-11 3.59
110 2.1e-08 1.6e-03 1.3e-06 1.02e+00 1.664428396e+02 1.664428866e+02 1.2e-11 3.62
111 1.9e-08 1.4e-03 1.2e-06 1.05e+00 1.664428433e+02 1.664428846e+02 1.1e-11 3.66
112 1.7e-08 1.3e-03 1.1e-06 1.02e+00 1.664428463e+02 1.664428831e+02 9.8e-12 3.69
113 1.6e-08 1.1e-03 9.7e-07 9.59e-01 1.664428487e+02 1.664428819e+02 8.9e-12 3.72
114 1.4e-08 1.0e-03 8.8e-07 9.54e-01 1.664428509e+02 1.664428809e+02 8.0e-12 3.74
115 1.3e-08 9.2e-04 7.9e-07 8.58e-01 1.664428529e+02 1.664428799e+02 7.2e-12 3.77
116 1.2e-08 8.2e-04 7.1e-07 1.03e+00 1.664428549e+02 1.664428789e+02 6.5e-12 3.80
117 1.1e-08 7.4e-04 6.4e-07 9.31e-01 1.664428565e+02 1.664428781e+02 5.9e-12 3.83
118 1.1e-08 6.7e-04 5.7e-07 9.87e-01 1.664428579e+02 1.664428774e+02 5.3e-12 3.85
119 9.7e-09 6.0e-04 5.2e-07 1.01e+00 1.664428592e+02 1.664428767e+02 4.8e-12 3.89
120 8.6e-09 5.4e-04 4.7e-07 1.04e+00 1.664428606e+02 1.664428760e+02 4.4e-12 3.92
121 7.7e-09 4.9e-04 4.2e-07 9.97e-01 1.664428616e+02 1.664428755e+02 3.9e-12 3.95
122 7.2e-09 4.4e-04 3.8e-07 6.60e-01 1.664428626e+02 1.664428749e+02 3.6e-12 3.98
123 6.7e-09 3.9e-04 3.4e-07 8.57e-01 1.664428633e+02 1.664428746e+02 3.2e-12 4.02
124 6.1e-09 3.5e-04 3.1e-07 7.69e-01 1.664428641e+02 1.664428743e+02 2.9e-12 4.05
125 5.5e-09 3.2e-04 2.7e-07 1.24e+00 1.664428647e+02 1.664428740e+02 2.6e-12 4.10
126 5.5e-09 2.9e-04 2.5e-07 1.55e+00 1.664428654e+02 1.664428735e+02 2.3e-12 4.13
127 6.7e-09 2.6e-04 2.2e-07 2.15e+00 1.664428660e+02 1.664428729e+02 2.1e-12 4.17
128 5.7e-09 2.3e-04 2.0e-07 4.48e-01 1.664428664e+02 1.664428729e+02 1.9e-12 4.20
129 4.8e-09 2.1e-04 1.8e-07 6.97e-01 1.664428668e+02 1.664428728e+02 1.7e-12 4.23
130 4.3e-09 1.9e-04 1.6e-07 6.38e-01 1.664428672e+02 1.664428727e+02 1.5e-12 4.27
131 4.3e-09 1.7e-04 1.5e-07 2.85e+00 1.664428676e+02 1.664428724e+02 1.4e-12 4.30
132 5.5e-09 1.5e-04 1.3e-07 6.61e-01 1.664428679e+02 1.664428723e+02 1.2e-12 4.33
133 4.5e-09 1.4e-04 1.2e-07 6.09e-01 1.664428682e+02 1.664428722e+02 1.1e-12 4.36
134 3.9e-09 1.2e-04 1.1e-07 2.47e+00 1.664428684e+02 1.664428720e+02 9.9e-13 4.39
Interior-point optimizer terminated. Time: 4.40.
Optimizer terminated. Time: 4.43
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286844e+02 Viol. con: 8e-08 var: 0e+00
Dual. obj: 1.6644287201e+02 Viol. con: 0e+00 var: 8e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.45 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.06 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285340969e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263517279e+05 3.573621339e+00 4.8e-01 0.16
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201360117e+05 1.023272515e+01 1.8e-01 0.19
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154380569e+05 6.426635360e+01 1.2e-01 0.22
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.128348619e+05 2.258317855e+03 1.2e-01 0.26
5 7.5e+01 9.6e+01 4.1e+03 -7.52e-01 -7.471862265e+04 9.598287644e+03 3.3e-02 0.29
6 3.0e+01 3.9e+01 1.7e+03 -1.95e-01 -4.050828534e+04 1.020868333e+04 1.3e-02 0.32
7 1.8e+01 2.3e+01 1.0e+03 3.94e-01 -2.711086200e+04 6.648814771e+03 7.9e-03 0.35
8 9.5e+00 1.2e+01 5.3e+02 6.30e-01 -1.542141589e+04 3.834875225e+03 4.2e-03 0.38
9 3.6e+00 4.7e+00 2.0e+02 8.16e-01 -5.933677595e+03 1.798167169e+03 1.6e-03 0.41
10 2.0e+00 2.6e+00 1.1e+02 9.47e-01 -3.130686280e+03 1.194462227e+03 8.9e-04 0.45
11 8.4e-01 1.1e+00 4.7e+01 9.81e-01 -1.229432088e+03 6.158746759e+02 3.8e-04 0.48
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.213195764e+03 5.912520351e+02 3.7e-04 0.51
13 5.1e-01 6.6e-01 2.9e+01 9.72e-01 -7.067483214e+02 4.266794287e+02 2.3e-04 0.54
14 3.1e-01 4.2e-01 1.8e+01 1.00e+00 -3.527307864e+02 3.410964491e+02 1.4e-04 0.58
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.762947313e+01 2.143692634e+02 5.0e-05 0.61
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.135882809e+01 2.045407407e+02 3.8e-05 0.64
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.501765183e+01 1.868877405e+02 1.9e-05 0.67
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425030766e+02 1.741740671e+02 6.6e-06 0.71
19 6.2e-03 7.2e-02 3.6e-01 1.01e+00 1.557137997e+02 1.695761777e+02 2.9e-06 0.74
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638760031e+02 1.673862600e+02 7.4e-07 0.77
21 8.0e-04 1.1e-01 4.9e-02 9.78e-01 1.650623967e+02 1.669372283e+02 4.0e-07 0.81
22 2.4e-04 1.1e-01 1.6e-02 9.90e-01 1.660032010e+02 1.665978124e+02 1.3e-07 0.84
23 1.1e-04 8.9e-02 7.5e-03 1.01e+00 1.662213149e+02 1.665057446e+02 6.3e-08 0.87
24 4.7e-05 8.5e-02 3.1e-03 1.01e+00 1.663394223e+02 1.664571340e+02 2.6e-08 0.90
25 2.2e-05 7.7e-02 1.5e-03 1.01e+00 1.663835791e+02 1.664385508e+02 1.2e-08 0.93
26 2.0e-05 7.1e-02 1.3e-03 1.00e+00 1.663881974e+02 1.664377011e+02 1.1e-08 0.97
27 1.8e-05 6.4e-02 1.2e-03 1.01e+00 1.663915599e+02 1.664361002e+02 1.0e-08 1.00
28 1.6e-05 5.9e-02 1.1e-03 1.00e+00 1.663946473e+02 1.664347268e+02 9.0e-09 1.03
29 1.4e-05 5.4e-02 9.6e-04 1.00e+00 1.663974103e+02 1.664334756e+02 8.1e-09 1.07
30 1.3e-05 4.9e-02 8.6e-04 1.00e+00 1.663998949e+02 1.664323487e+02 7.3e-09 1.10
31 1.2e-05 4.5e-02 7.7e-04 1.00e+00 1.664021274e+02 1.664313318e+02 6.5e-09 1.14
32 1.0e-05 4.1e-02 7.0e-04 1.00e+00 1.664041338e+02 1.664304145e+02 5.9e-09 1.19
33 9.4e-06 3.8e-02 6.3e-04 1.00e+00 1.664059372e+02 1.664295871e+02 5.3e-09 1.22
34 8.5e-06 3.5e-02 5.6e-04 1.00e+00 1.664075582e+02 1.664288409e+02 4.8e-09 1.25
35 7.7e-06 3.2e-02 5.1e-04 1.00e+00 1.664090154e+02 1.664281680e+02 4.3e-09 1.28
36 6.9e-06 3.0e-02 4.6e-04 1.00e+00 1.664103254e+02 1.664275613e+02 3.9e-09 1.31
37 6.2e-06 2.8e-02 4.1e-04 1.00e+00 1.664115032e+02 1.664270144e+02 3.5e-09 1.34
38 5.6e-06 2.6e-02 3.7e-04 1.00e+00 1.664125622e+02 1.664265214e+02 3.1e-09 1.37
39 5.0e-06 2.4e-02 3.3e-04 1.00e+00 1.664135144e+02 1.664260769e+02 2.8e-09 1.40
40 4.5e-06 2.2e-02 3.0e-04 1.00e+00 1.664143707e+02 1.664256764e+02 2.5e-09 1.44
41 4.1e-06 2.1e-02 2.7e-04 1.00e+00 1.664151406e+02 1.664253153e+02 2.3e-09 1.47
42 3.7e-06 2.0e-02 2.4e-04 1.00e+00 1.664158331e+02 1.664249899e+02 2.1e-09 1.49
43 3.3e-06 1.8e-02 2.2e-04 1.00e+00 1.664164557e+02 1.664246966e+02 1.8e-09 1.53
44 3.0e-06 1.7e-02 2.0e-04 1.00e+00 1.664170157e+02 1.664244323e+02 1.7e-09 1.56
45 2.7e-06 1.6e-02 1.8e-04 1.00e+00 1.664175193e+02 1.664241941e+02 1.5e-09 1.59
46 2.4e-06 1.5e-02 1.6e-04 1.00e+00 1.664179723e+02 1.664239794e+02 1.3e-09 1.62
47 2.2e-06 1.5e-02 1.4e-04 1.00e+00 1.664183798e+02 1.664237860e+02 1.2e-09 1.65
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664187463e+02 1.664236119e+02 1.1e-09 1.68
49 1.8e-06 1.3e-02 1.2e-04 1.00e+00 1.664190761e+02 1.664234550e+02 9.8e-10 1.71
50 1.6e-06 1.3e-02 1.0e-04 1.00e+00 1.664193728e+02 1.664233138e+02 8.8e-10 1.74
51 1.4e-06 1.2e-02 9.4e-05 1.00e+00 1.664196397e+02 1.664231866e+02 8.0e-10 1.77
52 1.3e-06 1.2e-02 8.5e-05 1.00e+00 1.664198799e+02 1.664230720e+02 7.2e-10 1.81
53 1.1e-06 1.1e-02 7.6e-05 1.00e+00 1.664200960e+02 1.664229688e+02 6.4e-10 1.83
54 1.0e-06 1.1e-02 6.9e-05 1.00e+00 1.664202904e+02 1.664228759e+02 5.8e-10 1.87
55 9.3e-07 1.1e-02 6.2e-05 1.00e+00 1.664204653e+02 1.664227922e+02 5.2e-10 1.90
56 8.4e-07 1.0e-02 5.6e-05 1.00e+00 1.664206226e+02 1.664227169e+02 4.7e-10 1.93
57 7.5e-07 1.0e-02 5.0e-05 1.00e+00 1.664207642e+02 1.664226491e+02 4.2e-10 1.97
58 6.8e-07 9.9e-03 4.5e-05 1.00e+00 1.664208915e+02 1.664225879e+02 3.8e-10 1.99
59 6.1e-07 9.7e-03 4.1e-05 1.00e+00 1.664210061e+02 1.664225328e+02 3.4e-10 2.03
60 5.5e-07 9.5e-03 3.6e-05 1.00e+00 1.664211092e+02 1.664224831e+02 3.1e-10 2.06
61 4.9e-07 9.3e-03 3.3e-05 1.00e+00 1.664212019e+02 1.664224384e+02 2.8e-10 2.09
62 4.4e-07 9.1e-03 3.0e-05 1.00e+00 1.664212853e+02 1.664223981e+02 2.5e-10 2.12
63 4.0e-07 9.0e-03 2.7e-05 1.00e+00 1.664213603e+02 1.664223619e+02 2.2e-10 2.15
64 3.6e-07 8.8e-03 2.4e-05 9.98e-01 1.664214278e+02 1.664223293e+02 2.0e-10 2.18
65 3.2e-07 8.7e-03 2.2e-05 1.00e+00 1.664214885e+02 1.664222999e+02 1.8e-10 2.21
66 2.9e-07 8.6e-03 1.9e-05 9.99e-01 1.664215431e+02 1.664222734e+02 1.6e-10 2.24
67 2.6e-07 8.5e-03 1.7e-05 1.00e+00 1.664215923e+02 1.664222494e+02 1.5e-10 2.28
68 2.4e-07 8.4e-03 1.6e-05 1.00e+00 1.664216365e+02 1.664222279e+02 1.3e-10 2.31
69 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664216763e+02 1.664222086e+02 1.2e-10 2.34
70 1.9e-07 8.3e-03 1.3e-05 1.00e+00 1.664217121e+02 1.664221911e+02 1.1e-10 2.37
71 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217445e+02 1.664221753e+02 9.7e-11 2.40
72 1.6e-07 8.2e-03 1.0e-05 1.01e+00 1.664217737e+02 1.664221610e+02 8.7e-11 2.43
73 1.4e-07 8.1e-03 9.3e-06 9.99e-01 1.664217998e+02 1.664221483e+02 7.8e-11 2.47
74 1.3e-07 8.1e-03 8.3e-06 1.00e+00 1.664218232e+02 1.664221369e+02 7.1e-11 2.50
75 1.1e-07 7.2e-03 7.5e-06 1.01e+00 1.664218449e+02 1.664221263e+02 6.4e-11 2.54
76 1.0e-07 6.5e-03 6.8e-06 1.00e+00 1.664218639e+02 1.664221170e+02 5.7e-11 2.57
77 9.2e-08 5.9e-03 6.1e-06 9.97e-01 1.664218809e+02 1.664221088e+02 5.2e-11 2.60
78 8.2e-08 5.3e-03 5.5e-06 9.96e-01 1.664218962e+02 1.664221013e+02 4.6e-11 2.63
79 7.4e-08 4.8e-03 4.9e-06 1.01e+00 1.664219101e+02 1.664220945e+02 4.2e-11 2.66
80 6.7e-08 4.3e-03 4.4e-06 1.01e+00 1.664219229e+02 1.664220883e+02 3.8e-11 2.68
81 6.0e-08 3.9e-03 4.0e-06 1.01e+00 1.664219343e+02 1.664220827e+02 3.4e-11 2.71
82 5.4e-08 3.5e-03 3.6e-06 9.99e-01 1.664219443e+02 1.664220778e+02 3.1e-11 2.74
83 4.9e-08 3.1e-03 3.2e-06 9.92e-01 1.664219533e+02 1.664220735e+02 2.8e-11 2.77
84 4.4e-08 2.8e-03 2.9e-06 9.82e-01 1.664219613e+02 1.664220696e+02 2.5e-11 2.80
85 3.9e-08 2.5e-03 2.6e-06 9.84e-01 1.664219686e+02 1.664220661e+02 2.2e-11 2.83
86 3.6e-08 2.3e-03 2.4e-06 9.93e-01 1.664219751e+02 1.664220629e+02 2.0e-11 2.87
87 3.2e-08 2.0e-03 2.1e-06 1.00e+00 1.664219810e+02 1.664220601e+02 1.8e-11 2.90
88 2.9e-08 1.8e-03 1.9e-06 9.97e-01 1.664219863e+02 1.664220575e+02 1.6e-11 2.93
89 2.6e-08 1.7e-03 1.7e-06 1.01e+00 1.664219913e+02 1.664220550e+02 1.5e-11 2.96
90 2.3e-08 1.5e-03 1.5e-06 1.00e+00 1.664219956e+02 1.664220529e+02 1.3e-11 3.00
91 2.1e-08 1.3e-03 1.4e-06 1.01e+00 1.664219997e+02 1.664220509e+02 1.2e-11 3.03
92 1.9e-08 1.2e-03 1.3e-06 9.94e-01 1.664220031e+02 1.664220492e+02 1.1e-11 3.06
93 1.7e-08 1.1e-03 1.1e-06 1.00e+00 1.664220062e+02 1.664220477e+02 9.7e-12 3.09
94 1.5e-08 9.8e-04 1.0e-06 9.58e-01 1.664220090e+02 1.664220464e+02 8.8e-12 3.12
95 1.4e-08 8.8e-04 9.1e-07 1.02e+00 1.664220117e+02 1.664220451e+02 8.0e-12 3.16
96 1.2e-08 7.9e-04 8.2e-07 9.45e-01 1.664220139e+02 1.664220440e+02 7.2e-12 3.19
97 1.1e-08 7.1e-04 7.4e-07 9.78e-01 1.664220159e+02 1.664220431e+02 6.4e-12 3.22
98 1.0e-08 6.4e-04 6.7e-07 9.69e-01 1.664220177e+02 1.664220422e+02 5.8e-12 3.24
99 9.1e-09 5.8e-04 6.0e-07 1.14e+00 1.664220204e+02 1.664220407e+02 5.6e-12 3.27
100 8.2e-09 5.2e-04 5.4e-07 1.02e+00 1.664220219e+02 1.664220400e+02 5.1e-12 3.30
101 7.5e-09 4.7e-04 4.9e-07 1.02e+00 1.664220232e+02 1.664220393e+02 4.6e-12 3.33
102 6.8e-09 4.2e-04 4.4e-07 9.88e-01 1.664220243e+02 1.664220388e+02 4.1e-12 3.36
103 6.1e-09 3.8e-04 3.9e-07 9.20e-01 1.664220252e+02 1.664220384e+02 3.7e-12 3.39
104 5.5e-09 3.4e-04 3.5e-07 8.86e-01 1.664220261e+02 1.664220380e+02 3.4e-12 3.42
105 4.9e-09 3.1e-04 3.2e-07 1.13e+00 1.664220274e+02 1.664220373e+02 3.2e-12 3.45
106 4.5e-09 2.8e-04 2.9e-07 9.95e-01 1.664220281e+02 1.664220370e+02 2.9e-12 3.48
107 4.2e-09 1.7e-05 1.8e-08 8.56e-01 1.664220339e+02 1.664220345e+02 3.5e-13 3.51
Interior-point optimizer terminated. Time: 3.52.
Optimizer terminated. Time: 3.54
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203393e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6642203452e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.56 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.06 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 -1.285332503e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263506596e+05 3.573405902e+00 4.8e-01 0.15
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201229616e+05 1.024109156e+01 1.8e-01 0.18
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154146786e+05 6.438969352e+01 1.2e-01 0.21
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.128141984e+05 2.256493213e+03 1.2e-01 0.24
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.452170552e+04 9.623268998e+03 3.3e-02 0.27
6 3.0e+01 3.8e+01 1.7e+03 -1.92e-01 -4.039646713e+04 1.017307249e+04 1.3e-02 0.30
7 1.8e+01 2.3e+01 1.0e+03 3.96e-01 -2.710378850e+04 6.644059588e+03 7.9e-03 0.33
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.529783219e+04 3.811649070e+03 4.1e-03 0.36
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.370856163e+03 1.685455689e+03 1.5e-03 0.39
10 1.6e+00 2.1e+00 9.1e+01 9.54e-01 -2.488110360e+03 1.068009578e+03 7.3e-04 0.43
11 9.3e-01 1.2e+00 5.2e+01 9.86e-01 -1.337554837e+03 6.866661425e+02 4.1e-04 0.46
12 8.5e-01 1.1e+00 4.8e+01 9.60e-01 -1.253942038e+03 6.354922479e+02 3.8e-04 0.49
13 4.7e-01 6.1e-01 2.7e+01 9.77e-01 -6.373776842e+02 4.197211335e+02 2.1e-04 0.52
14 2.5e-01 3.3e-01 1.4e+01 1.00e+00 -2.541691158e+02 3.021312442e+02 1.1e-04 0.55
15 9.3e-02 1.5e-01 5.3e+00 1.00e+00 -3.964972819e+00 2.060657640e+02 4.3e-05 0.57
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.475400011e+01 2.084811992e+02 4.0e-05 0.60
17 6.0e-02 9.6e-02 3.4e+00 1.02e+00 6.117832784e+01 1.950769150e+02 2.8e-05 0.62
18 3.3e-02 7.2e-02 1.9e+00 1.02e+00 1.091844562e+02 1.824029001e+02 1.5e-05 0.65
19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.513702376e+02 1.718414504e+02 4.3e-06 0.68
20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602185067e+02 1.683899087e+02 1.7e-06 0.72
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642699947e+02 1.671903157e+02 6.2e-07 0.75
22 8.6e-04 1.0e-01 5.2e-02 9.84e-01 1.649681693e+02 1.669443955e+02 4.3e-07 0.78
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659690912e+02 1.665864856e+02 1.3e-07 0.81
24 9.4e-05 1.0e-01 6.1e-03 1.01e+00 1.662459043e+02 1.664756902e+02 5.1e-08 0.84
25 3.7e-05 9.5e-02 2.4e-03 1.01e+00 1.663440809e+02 1.664350959e+02 2.0e-08 0.87
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663785049e+02 1.664206579e+02 9.5e-09 0.90
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663820229e+02 1.664199766e+02 8.5e-09 0.93
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663846097e+02 1.664187606e+02 7.7e-09 0.96
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663869815e+02 1.664177119e+02 6.9e-09 0.99
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663891060e+02 1.664167589e+02 6.2e-09 1.02
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663910166e+02 1.664159006e+02 5.6e-09 1.05
32 9.1e-06 4.7e-02 5.9e-04 1.00e+00 1.663927339e+02 1.664151266e+02 5.0e-09 1.09
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663942777e+02 1.664144287e+02 4.5e-09 1.12
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663956656e+02 1.664137996e+02 4.1e-09 1.15
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969135e+02 1.664132324e+02 3.7e-09 1.18
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663980355e+02 1.664127213e+02 3.3e-09 1.21
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663990445e+02 1.664122607e+02 3.0e-09 1.24
38 4.8e-06 2.9e-02 3.2e-04 1.00e+00 1.663999518e+02 1.664118456e+02 2.7e-09 1.27
39 4.3e-06 2.6e-02 2.8e-04 1.00e+00 1.664007678e+02 1.664114715e+02 2.4e-09 1.31
40 3.9e-06 2.5e-02 2.6e-04 1.00e+00 1.664015016e+02 1.664111343e+02 2.2e-09 1.34
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664021615e+02 1.664108305e+02 2.0e-09 1.37
42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027549e+02 1.664105567e+02 1.8e-09 1.40
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664032887e+02 1.664103100e+02 1.6e-09 1.43
44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037687e+02 1.664100878e+02 1.4e-09 1.47
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042006e+02 1.664098875e+02 1.3e-09 1.50
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045891e+02 1.664097072e+02 1.2e-09 1.53
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049386e+02 1.664095448e+02 1.0e-09 1.56
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052530e+02 1.664093985e+02 9.4e-10 1.59
49 1.5e-06 1.4e-02 9.9e-05 1.00e+00 1.664055359e+02 1.664092669e+02 8.4e-10 1.63
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664057905e+02 1.664091482e+02 7.6e-10 1.66
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060195e+02 1.664090414e+02 6.8e-10 1.69
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062256e+02 1.664089452e+02 6.1e-10 1.72
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064109e+02 1.664088585e+02 5.5e-10 1.75
54 8.9e-07 1.2e-02 5.9e-05 1.00e+00 1.664065777e+02 1.664087805e+02 5.0e-10 1.78
55 8.0e-07 1.1e-02 5.3e-05 1.00e+00 1.664067278e+02 1.664087103e+02 4.5e-10 1.81
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068628e+02 1.664086471e+02 4.0e-10 1.84
57 6.5e-07 1.0e-02 4.3e-05 1.00e+00 1.664069842e+02 1.664085901e+02 3.6e-10 1.87
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664070935e+02 1.664085387e+02 3.3e-10 1.91
59 5.3e-07 9.9e-03 3.5e-05 1.00e+00 1.664071918e+02 1.664084925e+02 2.9e-10 1.93
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072802e+02 1.664084508e+02 2.6e-10 1.96
61 4.3e-07 9.5e-03 2.8e-05 1.00e+00 1.664073597e+02 1.664084133e+02 2.4e-10 1.99
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074312e+02 1.664083795e+02 2.1e-10 2.01
63 3.5e-07 9.1e-03 2.3e-05 1.00e+00 1.664074956e+02 1.664083489e+02 1.9e-10 2.05
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075535e+02 1.664083215e+02 1.7e-10 2.08
65 2.8e-07 8.8e-03 1.8e-05 9.99e-01 1.664076056e+02 1.664082968e+02 1.6e-10 2.11
66 2.5e-07 8.7e-03 1.7e-05 1.00e+00 1.664076524e+02 1.664082745e+02 1.4e-10 2.14
67 2.3e-07 8.6e-03 1.5e-05 9.99e-01 1.664076946e+02 1.664082545e+02 1.3e-10 2.17
68 2.0e-07 8.5e-03 1.3e-05 9.98e-01 1.664077325e+02 1.664082365e+02 1.1e-10 2.19
69 1.8e-07 8.4e-03 1.2e-05 1.00e+00 1.664077667e+02 1.664082201e+02 1.0e-10 2.22
70 1.7e-07 8.4e-03 1.1e-05 1.01e+00 1.664077980e+02 1.664082051e+02 9.2e-11 2.25
71 1.5e-07 8.3e-03 9.8e-06 1.00e+00 1.664078256e+02 1.664081919e+02 8.3e-11 2.28
72 1.3e-07 8.2e-03 8.8e-06 1.00e+00 1.664078504e+02 1.664081801e+02 7.5e-11 2.31
73 1.2e-07 8.1e-03 7.9e-06 1.00e+00 1.664078728e+02 1.664081694e+02 6.7e-11 2.34
74 1.1e-07 8.1e-03 7.1e-06 1.01e+00 1.664078931e+02 1.664081597e+02 6.1e-11 2.37
75 9.8e-08 8.0e-03 6.4e-06 1.00e+00 1.664079112e+02 1.664081511e+02 5.5e-11 2.40
76 8.8e-08 8.0e-03 5.8e-06 1.00e+00 1.664079274e+02 1.664081433e+02 4.9e-11 2.43
77 7.9e-08 8.0e-03 5.2e-06 1.00e+00 1.664079420e+02 1.664081364e+02 4.4e-11 2.46
78 7.1e-08 7.2e-03 4.7e-06 1.01e+00 1.664079558e+02 1.664081297e+02 4.0e-11 2.49
79 6.4e-08 6.4e-03 4.2e-06 9.99e-01 1.664079676e+02 1.664081241e+02 3.6e-11 2.52
80 5.8e-08 5.8e-03 3.8e-06 9.95e-01 1.664079782e+02 1.664081191e+02 3.2e-11 2.55
81 5.2e-08 5.2e-03 3.4e-06 9.90e-01 1.664079877e+02 1.664081146e+02 2.9e-11 2.59
82 4.7e-08 4.7e-03 3.1e-06 9.96e-01 1.664079963e+02 1.664081105e+02 2.6e-11 2.62
83 4.2e-08 4.2e-03 2.8e-06 1.00e+00 1.664080041e+02 1.664081068e+02 2.4e-11 2.65
84 3.8e-08 3.8e-03 2.5e-06 9.99e-01 1.664080110e+02 1.664081035e+02 2.1e-11 2.68
85 3.4e-08 3.4e-03 2.2e-06 1.00e+00 1.664080173e+02 1.664081005e+02 1.9e-11 2.71
86 3.1e-08 3.1e-03 2.0e-06 9.86e-01 1.664080229e+02 1.664080978e+02 1.7e-11 2.74
87 2.8e-08 2.8e-03 1.8e-06 9.86e-01 1.664080280e+02 1.664080954e+02 1.6e-11 2.78
88 2.5e-08 2.5e-03 1.6e-06 9.86e-01 1.664080325e+02 1.664080933e+02 1.4e-11 2.81
89 2.2e-08 2.2e-03 1.5e-06 1.01e+00 1.664080368e+02 1.664080912e+02 1.3e-11 2.84
90 2.0e-08 2.0e-03 1.3e-06 9.73e-01 1.664080405e+02 1.664080894e+02 1.1e-11 2.88
91 1.8e-08 1.8e-03 1.2e-06 1.07e+00 1.664080448e+02 1.664080872e+02 1.1e-11 2.91
92 1.6e-08 1.6e-03 1.1e-06 1.03e+00 1.664080480e+02 1.664080857e+02 9.6e-12 2.94
93 1.5e-08 1.5e-03 9.6e-07 9.85e-01 1.664080506e+02 1.664080845e+02 8.7e-12 2.97
94 1.3e-08 1.3e-03 8.7e-07 1.03e+00 1.664080532e+02 1.664080832e+02 7.9e-12 3.01
95 1.2e-08 1.2e-03 7.8e-07 1.04e+00 1.664080556e+02 1.664080820e+02 7.3e-12 3.04
96 1.1e-08 1.1e-03 7.0e-07 1.08e+00 1.664080580e+02 1.664080808e+02 6.8e-12 3.07
97 9.8e-09 9.7e-04 6.3e-07 1.00e+00 1.664080596e+02 1.664080801e+02 6.1e-12 3.10
98 9.0e-09 8.7e-04 5.7e-07 8.74e-01 1.664080610e+02 1.664080795e+02 5.5e-12 3.13
99 7.9e-09 7.8e-04 5.1e-07 9.54e-01 1.664080622e+02 1.664080789e+02 5.0e-12 3.17
100 7.3e-09 7.0e-04 4.6e-07 1.11e+00 1.664080639e+02 1.664080780e+02 4.7e-12 3.20
101 6.6e-09 6.3e-04 4.1e-07 8.64e-01 1.664080649e+02 1.664080776e+02 4.3e-12 3.23
102 5.9e-09 5.7e-04 3.7e-07 8.83e-01 1.664080657e+02 1.664080772e+02 3.8e-12 3.26
103 5.8e-09 5.1e-04 3.4e-07 1.09e+00 1.664080668e+02 1.664080767e+02 3.6e-12 3.30
104 5.2e-09 4.6e-04 3.0e-07 8.48e-01 1.664080675e+02 1.664080764e+02 3.2e-12 3.33
105 4.8e-09 4.2e-04 2.7e-07 8.08e-01 1.664080681e+02 1.664080762e+02 2.9e-12 3.36
106 4.6e-09 3.9e-04 2.5e-07 1.04e+00 1.664080685e+02 1.664080759e+02 2.8e-12 3.39
107 4.6e-09 3.9e-04 2.5e-07 1.04e+00 1.664080685e+02 1.664080759e+02 2.8e-12 3.43
108 4.7e-09 3.5e-04 2.3e-07 1.00e+00 1.664080690e+02 1.664080757e+02 2.5e-12 3.46
109 4.3e-09 3.1e-04 2.1e-07 9.70e-01 1.664080695e+02 1.664080755e+02 2.2e-12 3.49
110 3.8e-09 2.8e-04 1.8e-07 8.50e-01 1.664080699e+02 1.664080753e+02 2.0e-12 3.52
111 3.5e-09 2.5e-04 1.7e-07 9.69e-01 1.664080702e+02 1.664080751e+02 1.8e-12 3.55
112 3.5e-09 2.5e-04 1.7e-07 1.11e+00 1.664080702e+02 1.664080751e+02 1.8e-12 3.59
113 2.9e-09 2.9e-05 1.9e-08 8.11e-01 1.664080733e+02 1.664080739e+02 3.3e-13 3.62
Interior-point optimizer terminated. Time: 3.63.
Optimizer terminated. Time: 3.65
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807330e+02 Viol. con: 8e-08 var: 0e+00
Dual. obj: 1.6640807391e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.69 seconds.
Solving took 9 GP solves and 42.7 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: 1.4957404316284499e+110 vs 1.49570286032e+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: 3.705387239771771e+72 vs 3.70523562049e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682424]
Total Aircraft Weight Percent Diff: [-21.4805684]
Engine Weight Percent Diff: -56.27829950339223
Fuselage Weight Percent Diff: -0.8697419074079684
Payload Weight Percent Diff: [-0.04003561]
VT Weight Percent Diff: -8.6079196743802
HT Weight Percent Diff: -93.23331782132274
Wing Weight Percent Diff: 8.267548902331987
WING DIFFERENCES
Wing Span Percent Diff: -0.029993170698102627
Wing Area Percent Diff: 32.899630509431255
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.48845214812851
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022354493365789
VT Area Percent Diff: -60.386848155377855
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54713947]
L/D Percent Diff: [24.01023671]
Nacelle Cd Percent Diff: [-94.27641357]
HT Cd Percent Diff: [-80.76942066] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00290382] dimensionless
Wing Cd percent Diff: [-14.22908054]
Induced Drag Cd Percent Diff: [1.21951494]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035674]
FUSELAGE DIFFERENCES
Weight of HB material: -38.36121540057289
Weight of VB material: 87.81659904089132
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260512]
Mission1
========
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission1.Aircraft.Wing.WingBox.N_{lift} = 3
Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission1.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission1.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*Mission1.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission1.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission1.Aircraft.Wing.WingBox.r_{w/c} = Mission1.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission1.Aircraft.Fuselage.N_{lift} = Mission1.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission1.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission1.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission1.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission1.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3438 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280976207e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.3e+04 -9.71e-01 -1.260360597e+05 3.611424052e+00 4.9e-01 0.44
2 4.1e+02 5.3e+02 2.3e+04 -9.38e-01 -1.195206719e+05 1.063331153e+01 1.8e-01 0.46
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.151942168e+05 6.795829655e+01 1.3e-01 0.49
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127212826e+05 2.109723808e+03 1.3e-01 0.53
5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.071413615e+04 8.411072422e+03 3.9e-02 0.56
6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.787028059e+04 1.016025756e+04 1.6e-02 0.59
7 2.1e+01 2.8e+01 1.2e+03 2.52e-01 -3.173778936e+04 7.155034269e+03 9.5e-03 0.62
8 9.4e+00 1.2e+01 5.3e+02 5.36e-01 -1.511150083e+04 4.167123567e+03 4.2e-03 0.65
9 5.5e+00 7.1e+00 3.1e+02 8.14e-01 -8.836155418e+03 2.832992813e+03 2.5e-03 0.68
10 1.3e+00 1.7e+00 7.6e+01 9.07e-01 -2.021517100e+03 9.278094940e+02 6.1e-04 0.71
11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.292899266e+02 7.204982019e+02 3.2e-04 0.74
12 4.7e-01 6.1e-01 2.7e+01 9.97e-01 -4.810408396e+02 5.632816117e+02 2.1e-04 0.79
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.119899248e+02 4.857188935e+02 1.6e-04 0.81
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.727746611e+01 3.656933383e+02 7.9e-05 0.84
15 5.5e-02 1.5e-01 3.2e+00 9.94e-01 1.624902967e+02 2.901499707e+02 2.7e-05 0.88
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.999027139e+02 2.746125040e+02 1.6e-05 0.91
17 5.1e-03 1.8e-01 3.2e-01 1.00e+00 2.445305033e+02 2.572371524e+02 2.8e-06 0.94
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509424510e+02 2.546897023e+02 8.3e-07 0.97
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527845502e+02 2.540210950e+02 2.8e-07 1.00
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532880856e+02 2.538352203e+02 1.2e-07 1.03
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533292209e+02 2.538216573e+02 1.1e-07 1.06
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533650962e+02 2.538082643e+02 1.0e-07 1.09
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533974267e+02 2.537962616e+02 9.0e-08 1.12
24 1.4e-04 5.9e-02 9.2e-03 1.00e+00 2.534264980e+02 2.537854354e+02 8.1e-08 1.15
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534526435e+02 2.537756756e+02 7.3e-08 1.18
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534761572e+02 2.537668763e+02 6.5e-08 1.21
27 1.0e-04 4.5e-02 6.7e-03 1.00e+00 2.534973060e+02 2.537589453e+02 5.9e-08 1.24
28 9.0e-05 4.1e-02 6.1e-03 1.00e+00 2.535163290e+02 2.537517977e+02 5.3e-08 1.27
29 8.1e-05 3.8e-02 5.4e-03 1.00e+00 2.535334405e+02 2.537453571e+02 4.8e-08 1.30
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535488335e+02 2.537395540e+02 4.3e-08 1.33
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535626808e+02 2.537343259e+02 3.9e-08 1.36
32 5.9e-05 3.0e-02 4.0e-03 1.00e+00 2.535751383e+02 2.537296160e+02 3.5e-08 1.40
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535863455e+02 2.537253733e+02 3.1e-08 1.43
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535964283e+02 2.537215515e+02 2.8e-08 1.46
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536054996e+02 2.537181092e+02 2.5e-08 1.50
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536136611e+02 2.537150086e+02 2.3e-08 1.53
37 3.5e-05 2.0e-02 2.3e-03 1.00e+00 2.536210042e+02 2.537122161e+02 2.1e-08 1.56
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276109e+02 2.537097011e+02 1.9e-08 1.60
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536335554e+02 2.537074360e+02 1.7e-08 1.63
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389040e+02 2.537053963e+02 1.5e-08 1.67
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536437166e+02 2.537035594e+02 1.3e-08 1.70
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536480470e+02 2.537019053e+02 1.2e-08 1.74
43 1.9e-05 1.4e-02 1.2e-03 1.00e+00 2.536519435e+02 2.537004159e+02 1.1e-08 1.77
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554497e+02 2.536990748e+02 9.8e-09 1.80
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586047e+02 2.536978672e+02 8.9e-09 1.83
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614438e+02 2.536967801e+02 8.0e-09 1.86
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536639986e+02 2.536958012e+02 7.2e-09 1.89
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536662977e+02 2.536949200e+02 6.5e-09 1.91
49 9.9e-06 1.1e-02 6.6e-04 1.00e+00 2.536683666e+02 2.536941267e+02 5.8e-09 1.94
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536702284e+02 2.536934126e+02 5.2e-09 1.97
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536719038e+02 2.536927696e+02 4.7e-09 1.99
52 7.2e-06 1.0e-02 4.8e-04 1.00e+00 2.536734116e+02 2.536921909e+02 4.2e-09 2.02
53 6.5e-06 9.9e-03 4.3e-04 1.00e+00 2.536747686e+02 2.536916699e+02 3.8e-09 2.05
54 5.8e-06 9.6e-03 3.9e-04 1.00e+00 2.536759897e+02 2.536912009e+02 3.4e-09 2.08
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770886e+02 2.536907788e+02 3.1e-09 2.11
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780776e+02 2.536903988e+02 2.8e-09 2.14
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789676e+02 2.536900567e+02 2.5e-09 2.17
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797686e+02 2.536897487e+02 2.3e-09 2.20
59 3.4e-06 8.7e-03 2.3e-04 1.00e+00 2.536804894e+02 2.536894716e+02 2.0e-09 2.23
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811381e+02 2.536892221e+02 1.8e-09 2.26
61 1.2e-06 3.3e-03 8.1e-05 1.00e+00 2.536846983e+02 2.536878513e+02 7.1e-10 2.30
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849266e+02 2.536877643e+02 6.4e-10 2.33
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862390e+02 2.536872586e+02 2.3e-10 2.35
64 3.5e-07 9.7e-04 2.4e-05 1.00e+00 2.536863126e+02 2.536872303e+02 2.1e-10 2.39
65 3.2e-07 8.8e-04 2.1e-05 9.99e-01 2.536863788e+02 2.536872047e+02 1.9e-10 2.42
66 2.8e-07 7.9e-04 1.9e-05 1.00e+00 2.536864384e+02 2.536871818e+02 1.7e-10 2.45
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864921e+02 2.536871611e+02 1.5e-10 2.48
68 2.3e-07 6.4e-04 1.5e-05 1.00e+00 2.536865403e+02 2.536871424e+02 1.4e-10 2.52
69 2.1e-07 5.7e-04 1.4e-05 1.00e+00 2.536865838e+02 2.536871257e+02 1.2e-10 2.55
70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866229e+02 2.536871106e+02 1.1e-10 2.58
71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866581e+02 2.536870970e+02 9.9e-11 2.61
72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866897e+02 2.536870848e+02 8.9e-11 2.64
73 1.4e-07 3.8e-04 9.1e-06 1.00e+00 2.536867182e+02 2.536870738e+02 8.0e-11 2.68
74 1.2e-07 3.4e-04 8.2e-06 1.00e+00 2.536867439e+02 2.536870639e+02 7.2e-11 2.71
75 1.1e-07 3.1e-04 7.4e-06 1.00e+00 2.536867670e+02 2.536870549e+02 6.5e-11 2.74
76 9.9e-08 2.7e-04 6.7e-06 9.99e-01 2.536867877e+02 2.536870469e+02 5.8e-11 2.77
77 8.9e-08 2.5e-04 6.0e-06 9.98e-01 2.536868064e+02 2.536870397e+02 5.3e-11 2.81
78 8.0e-08 2.2e-04 5.4e-06 1.00e+00 2.536868233e+02 2.536870332e+02 4.7e-11 2.84
79 7.2e-08 2.0e-04 4.9e-06 9.99e-01 2.536868384e+02 2.536870273e+02 4.3e-11 2.87
80 6.5e-08 1.8e-04 4.4e-06 1.00e+00 2.536868521e+02 2.536870221e+02 3.8e-11 2.90
81 5.9e-08 1.6e-04 3.9e-06 1.00e+00 2.536868645e+02 2.536870172e+02 3.5e-11 2.94
82 5.3e-08 1.5e-04 3.5e-06 9.98e-01 2.536868755e+02 2.536870130e+02 3.1e-11 2.97
83 4.8e-08 1.3e-04 3.2e-06 9.99e-01 2.536868854e+02 2.536870092e+02 2.8e-11 3.01
84 4.3e-08 1.2e-04 2.9e-06 9.98e-01 2.536868944e+02 2.536870057e+02 2.5e-11 3.04
85 3.8e-08 1.1e-04 2.6e-06 9.98e-01 2.536869024e+02 2.536870026e+02 2.3e-11 3.07
86 3.5e-08 9.6e-05 2.3e-06 1.00e+00 2.536869096e+02 2.536869998e+02 2.0e-11 3.11
87 3.1e-08 8.6e-05 2.1e-06 1.00e+00 2.536869162e+02 2.536869973e+02 1.8e-11 3.14
88 2.8e-08 7.8e-05 1.9e-06 1.00e+00 2.536869221e+02 2.536869950e+02 1.7e-11 3.17
89 2.5e-08 7.0e-05 1.7e-06 1.01e+00 2.536869275e+02 2.536869929e+02 1.5e-11 3.21
90 2.3e-08 6.3e-05 1.5e-06 1.00e+00 2.536869322e+02 2.536869910e+02 1.3e-11 3.24
91 2.0e-08 5.7e-05 1.4e-06 1.00e+00 2.536869365e+02 2.536869894e+02 1.2e-11 3.27
92 1.8e-08 5.1e-05 1.2e-06 1.00e+00 2.536869404e+02 2.536869879e+02 1.1e-11 3.30
93 1.7e-08 4.6e-05 1.1e-06 1.01e+00 2.536869439e+02 2.536869865e+02 9.9e-12 3.34
94 1.5e-08 4.1e-05 1.0e-06 9.96e-01 2.536869470e+02 2.536869853e+02 8.9e-12 3.37
95 1.3e-08 3.7e-05 9.0e-07 1.00e+00 2.536869498e+02 2.536869842e+02 8.0e-12 3.41
96 1.2e-08 3.3e-05 8.1e-07 9.96e-01 2.536869523e+02 2.536869833e+02 7.2e-12 3.44
97 1.1e-08 3.0e-05 7.3e-07 9.97e-01 2.536869545e+02 2.536869824e+02 6.5e-12 3.47
98 9.8e-09 2.7e-05 6.6e-07 1.00e+00 2.536869565e+02 2.536869816e+02 5.8e-12 3.50
Interior-point optimizer terminated. Time: 3.50.
Optimizer terminated. Time: 3.53
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695653e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698164e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.55 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 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 -1.281787446e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.259414228e+05 3.780941016e+00 4.7e-01 0.10
2 4.6e+02 5.9e+02 2.6e+04 -9.35e-01 -1.205918795e+05 9.868922463e+00 2.0e-01 0.14
3 2.9e+02 3.7e+02 1.6e+04 -8.50e-01 -1.154239527e+05 5.250197661e+01 1.3e-01 0.17
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.133019475e+05 1.862130071e+03 1.3e-01 0.20
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.812142135e+04 9.031239868e+03 3.6e-02 0.23
6 3.6e+01 4.6e+01 2.0e+03 -2.53e-01 -4.675648558e+04 1.010078028e+04 1.6e-02 0.25
7 1.9e+01 2.4e+01 1.0e+03 2.76e-01 -2.801894153e+04 6.402312604e+03 8.2e-03 0.28
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.471216452e+04 4.005088021e+03 4.0e-03 0.31
9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.206577675e+03 2.776623679e+03 2.5e-03 0.34
10 1.9e+00 2.4e+00 1.1e+02 9.02e-01 -2.967188321e+03 1.150548933e+03 8.4e-04 0.37
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.411824685e+03 1.013250400e+03 7.0e-04 0.40
12 1.0e+00 1.4e+00 5.6e+01 9.78e-01 -1.467425628e+03 7.220755279e+02 4.4e-04 0.42
13 4.6e-01 6.8e-01 2.6e+01 9.83e-01 -5.896882521e+02 4.319681307e+02 2.1e-04 0.47
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.320840624e+02 3.288887936e+02 1.1e-04 0.50
15 1.0e-01 1.6e-01 5.7e+00 1.00e+00 1.044652528e+01 2.360029519e+02 4.6e-05 0.53
16 4.7e-02 1.0e-01 2.7e+00 1.00e+00 9.574904261e+01 2.020284199e+02 2.2e-05 0.56
17 1.0e-02 1.4e-01 6.2e-01 1.01e+00 1.548431141e+02 1.790677314e+02 5.2e-06 0.59
18 6.3e-03 1.0e-01 3.9e-01 1.01e+00 1.614292039e+02 1.765011125e+02 3.2e-06 0.62
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.695627748e+02 1.734405846e+02 8.5e-07 0.65
20 3.4e-04 1.4e-01 2.2e-02 1.01e+00 1.717721240e+02 1.726293360e+02 1.9e-07 0.68
21 1.4e-04 1.0e-01 9.5e-03 9.94e-01 1.721372137e+02 1.725037900e+02 8.3e-08 0.71
22 8.9e-05 8.2e-02 6.0e-03 1.00e+00 1.722347055e+02 1.724653291e+02 5.2e-08 0.75
23 8.0e-05 7.6e-02 5.4e-03 1.00e+00 1.722527903e+02 1.724604212e+02 4.7e-08 0.78
24 7.2e-05 6.9e-02 4.8e-03 1.00e+00 1.722680411e+02 1.724549097e+02 4.2e-08 0.81
25 6.5e-05 6.3e-02 4.3e-03 1.00e+00 1.722818158e+02 1.724499966e+02 3.8e-08 0.84
26 5.9e-05 5.7e-02 3.9e-03 1.00e+00 1.722941842e+02 1.724455455e+02 3.4e-08 0.86
27 5.3e-05 5.2e-02 3.5e-03 1.00e+00 1.723053033e+02 1.724415268e+02 3.1e-08 0.89
28 4.7e-05 4.8e-02 3.2e-03 1.00e+00 1.723152954e+02 1.724378950e+02 2.8e-08 0.92
29 4.3e-05 4.4e-02 2.8e-03 1.00e+00 1.723242746e+02 1.724346129e+02 2.5e-08 0.95
30 3.8e-05 4.0e-02 2.6e-03 1.00e+00 1.723323436e+02 1.724316469e+02 2.2e-08 0.99
31 3.5e-05 3.7e-02 2.3e-03 1.00e+00 1.723395949e+02 1.724289667e+02 2.0e-08 1.01
32 3.1e-05 3.4e-02 2.1e-03 1.00e+00 1.723461119e+02 1.724265456e+02 1.8e-08 1.04
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723519695e+02 1.724243591e+02 1.6e-08 1.07
34 2.5e-05 2.9e-02 1.7e-03 1.00e+00 1.723572350e+02 1.724223852e+02 1.5e-08 1.09
35 2.3e-05 2.7e-02 1.5e-03 1.00e+00 1.723619689e+02 1.724206036e+02 1.3e-08 1.13
36 2.0e-05 2.5e-02 1.4e-03 1.00e+00 1.723662253e+02 1.724189961e+02 1.2e-08 1.16
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723700525e+02 1.724175460e+02 1.1e-08 1.19
38 1.7e-05 2.2e-02 1.1e-03 1.00e+00 1.723734942e+02 1.724162382e+02 9.7e-09 1.21
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723765893e+02 1.724150588e+02 8.7e-09 1.24
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723793730e+02 1.724139954e+02 7.8e-09 1.27
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723818766e+02 1.724130368e+02 7.1e-09 1.30
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723841285e+02 1.724121726e+02 6.4e-09 1.33
43 9.8e-06 1.6e-02 6.5e-04 1.00e+00 1.723861541e+02 1.724113938e+02 5.7e-09 1.36
44 8.8e-06 1.5e-02 5.9e-04 1.00e+00 1.723879761e+02 1.724106918e+02 5.1e-09 1.40
45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723896151e+02 1.724100593e+02 4.6e-09 1.43
46 7.1e-06 1.4e-02 4.8e-04 1.00e+00 1.723910895e+02 1.724094894e+02 4.2e-09 1.46
47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723924160e+02 1.724089759e+02 3.8e-09 1.48
48 5.8e-06 1.3e-02 3.9e-04 1.00e+00 1.723936093e+02 1.724085132e+02 3.4e-09 1.52
49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723946828e+02 1.724080965e+02 3.0e-09 1.55
50 4.7e-06 1.2e-02 3.1e-04 1.00e+00 1.723956487e+02 1.724077210e+02 2.7e-09 1.59
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965178e+02 1.724073829e+02 2.5e-09 1.62
52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723972996e+02 1.724070783e+02 2.2e-09 1.65
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980031e+02 1.724068040e+02 2.0e-09 1.67
54 3.1e-06 1.0e-02 2.0e-04 1.00e+00 1.723986361e+02 1.724065569e+02 1.8e-09 1.70
55 2.8e-06 1.0e-02 1.8e-04 1.00e+00 1.723992057e+02 1.724063344e+02 1.6e-09 1.73
56 2.5e-06 9.7e-03 1.7e-04 1.00e+00 1.723997182e+02 1.724061341e+02 1.5e-09 1.76
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001793e+02 1.724059537e+02 1.3e-09 1.79
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724005942e+02 1.724057912e+02 1.2e-09 1.82
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009676e+02 1.724056449e+02 1.1e-09 1.86
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013036e+02 1.724055132e+02 9.5e-10 1.89
61 1.5e-06 8.8e-03 9.8e-05 1.00e+00 1.724016059e+02 1.724053946e+02 8.6e-10 1.93
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018780e+02 1.724052878e+02 7.7e-10 1.95
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021228e+02 1.724051916e+02 7.0e-10 1.98
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023431e+02 1.724051050e+02 6.3e-10 2.01
65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025413e+02 1.724050271e+02 5.6e-10 2.04
66 8.7e-07 8.3e-03 5.8e-05 1.00e+00 1.724027197e+02 1.724049569e+02 5.1e-10 2.07
67 7.8e-07 8.2e-03 5.2e-05 1.00e+00 1.724028802e+02 1.724048937e+02 4.6e-10 2.11
68 7.0e-07 8.1e-03 4.7e-05 1.00e+00 1.724030246e+02 1.724048368e+02 4.1e-10 2.14
69 6.3e-07 8.0e-03 4.2e-05 1.00e+00 1.724031546e+02 1.724047856e+02 3.7e-10 2.18
70 5.7e-07 8.0e-03 3.8e-05 1.00e+00 1.724032716e+02 1.724047395e+02 3.3e-10 2.21
71 5.1e-07 7.9e-03 3.4e-05 1.00e+00 1.724033769e+02 1.724046979e+02 3.0e-10 2.24
72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034716e+02 1.724046606e+02 2.7e-10 2.28
73 4.1e-07 7.8e-03 2.8e-05 1.00e+00 1.724035568e+02 1.724046269e+02 2.4e-10 2.31
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036335e+02 1.724045966e+02 2.2e-10 2.35
75 3.4e-07 7.7e-03 2.2e-05 1.00e+00 1.724037025e+02 1.724045693e+02 2.0e-10 2.38
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037647e+02 1.724045447e+02 1.8e-10 2.41
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038205e+02 1.724045226e+02 1.6e-10 2.44
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038708e+02 1.724045027e+02 1.4e-10 2.47
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039161e+02 1.724044848e+02 1.3e-10 2.50
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039568e+02 1.724044687e+02 1.2e-10 2.53
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039935e+02 1.724044541e+02 1.0e-10 2.56
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040265e+02 1.724044411e+02 9.4e-11 2.58
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040562e+02 1.724044293e+02 8.5e-11 2.61
84 1.3e-07 7.5e-03 8.7e-06 1.00e+00 1.724040829e+02 1.724044187e+02 7.6e-11 2.64
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041069e+02 1.724044091e+02 6.9e-11 2.67
86 1.1e-07 7.4e-03 7.0e-06 1.00e+00 1.724041286e+02 1.724044005e+02 6.2e-11 2.70
87 9.5e-08 7.4e-03 6.3e-06 1.00e+00 1.724041480e+02 1.724043928e+02 5.6e-11 2.73
88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041655e+02 1.724043858e+02 5.0e-11 2.76
89 7.7e-08 7.4e-03 5.1e-06 1.00e+00 1.724041813e+02 1.724043796e+02 4.5e-11 2.79
90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041955e+02 1.724043739e+02 4.0e-11 2.81
91 6.2e-08 7.4e-03 4.2e-06 1.00e+00 1.724042083e+02 1.724043689e+02 3.6e-11 2.84
92 5.6e-08 7.3e-03 3.7e-06 1.00e+00 1.724042198e+02 1.724043643e+02 3.3e-11 2.87
93 5.0e-08 7.3e-03 3.4e-06 9.99e-01 1.724042301e+02 1.724043602e+02 3.0e-11 2.90
94 4.5e-08 7.3e-03 3.0e-06 1.00e+00 1.724042394e+02 1.724043565e+02 2.7e-11 2.93
95 4.1e-08 7.3e-03 2.7e-06 1.00e+00 1.724042478e+02 1.724043531e+02 2.4e-11 2.96
96 3.7e-08 7.3e-03 2.5e-06 9.99e-01 1.724042553e+02 1.724043501e+02 2.2e-11 2.99
97 3.3e-08 7.3e-03 2.2e-06 1.00e+00 1.724042621e+02 1.724043474e+02 1.9e-11 3.02
98 3.0e-08 7.3e-03 2.0e-06 9.99e-01 1.724042682e+02 1.724043450e+02 1.7e-11 3.05
99 2.7e-08 7.3e-03 1.8e-06 1.00e+00 1.724042737e+02 1.724043428e+02 1.6e-11 3.09
100 2.4e-08 6.5e-03 1.6e-06 1.00e+00 1.724042787e+02 1.724043408e+02 1.4e-11 3.11
101 2.2e-08 5.9e-03 1.4e-06 1.00e+00 1.724042831e+02 1.724043390e+02 1.3e-11 3.14
102 2.0e-08 5.3e-03 1.3e-06 1.01e+00 1.724042872e+02 1.724043374e+02 1.1e-11 3.17
103 1.8e-08 4.8e-03 1.2e-06 9.99e-01 1.724042908e+02 1.724043360e+02 1.0e-11 3.20
104 1.6e-08 4.3e-03 1.1e-06 1.00e+00 1.724042940e+02 1.724043347e+02 9.3e-12 3.23
105 4.0e-09 1.1e-03 2.6e-07 1.00e+00 1.724043158e+02 1.724043259e+02 2.3e-12 3.27
106 3.6e-09 9.7e-04 2.4e-07 9.85e-01 1.724043165e+02 1.724043257e+02 2.1e-12 3.30
107 8.3e-10 2.2e-04 5.4e-08 1.01e+00 1.724043216e+02 1.724043236e+02 4.6e-13 3.33
Interior-point optimizer terminated. Time: 3.33.
Optimizer terminated. Time: 3.36
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432158e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432362e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.38 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 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 -1.284360419e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.262635410e+05 3.636950416e+00 4.8e-01 0.13
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203755999e+05 1.002096583e+01 1.9e-01 0.16
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.156270294e+05 5.939414440e+01 1.3e-01 0.19
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131819785e+05 2.127639464e+03 1.3e-01 0.21
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.750683955e+04 9.253680815e+03 3.6e-02 0.24
6 4.0e+01 5.2e+01 2.2e+03 -2.39e-01 -5.068254736e+04 1.003928708e+04 1.8e-02 0.27
7 3.0e+01 3.9e+01 1.7e+03 2.16e-01 -4.166619026e+04 8.309958599e+03 1.3e-02 0.29
8 1.9e+01 2.4e+01 1.0e+03 3.78e-01 -2.878108888e+04 5.414643833e+03 8.2e-03 0.32
9 8.0e+00 1.0e+01 4.4e+02 5.99e-01 -1.315966419e+04 3.160786673e+03 3.5e-03 0.35
10 4.0e+00 5.1e+00 2.2e+02 8.45e-01 -6.347189746e+03 2.138382621e+03 1.8e-03 0.38
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.502127542e+03 1.318841332e+03 9.9e-04 0.41
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.332366451e+03 6.477131069e+02 4.1e-04 0.44
13 8.3e-01 1.1e+00 4.6e+01 9.70e-01 -1.217516363e+03 6.005383815e+02 3.7e-04 0.46
14 5.9e-01 7.7e-01 3.3e+01 9.74e-01 -8.114699806e+02 4.901687787e+02 2.6e-04 0.50
15 2.1e-01 7.5e-01 1.2e+01 9.90e-01 -1.973506203e+02 2.838923780e+02 9.8e-05 0.53
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.194812084e+01 2.162406251e+02 4.9e-05 0.56
17 7.7e-02 2.8e-01 4.4e+00 1.01e+00 2.773550833e+01 2.014212837e+02 3.6e-05 0.59
18 5.2e-02 2.0e-01 3.0e+00 1.02e+00 7.871291466e+01 1.952118025e+02 2.4e-05 0.61
19 1.5e-02 1.1e-01 8.7e-01 1.00e+00 1.409224674e+02 1.747335505e+02 7.0e-06 0.64
20 4.0e-03 2.2e-01 2.5e-01 1.02e+00 1.602100391e+02 1.696953099e+02 2.0e-06 0.67
21 2.7e-03 2.2e-01 1.7e-01 1.01e+00 1.623237535e+02 1.687770948e+02 1.3e-06 0.70
22 2.0e-03 1.6e-01 1.2e-01 1.00e+00 1.636802089e+02 1.683152491e+02 9.7e-07 0.73
23 7.7e-04 9.6e-02 4.8e-02 1.01e+00 1.657770293e+02 1.676106478e+02 3.9e-07 0.76
24 3.6e-04 8.1e-02 2.3e-02 1.01e+00 1.664801420e+02 1.673455434e+02 1.8e-07 0.79
25 1.5e-04 8.1e-02 9.7e-03 1.01e+00 1.668359715e+02 1.672047014e+02 7.9e-08 0.83
26 1.4e-04 7.4e-02 8.7e-03 1.01e+00 1.668663912e+02 1.671983758e+02 7.1e-08 0.86
27 1.2e-04 6.7e-02 7.8e-03 1.01e+00 1.668896159e+02 1.671882825e+02 6.4e-08 0.89
28 1.1e-04 6.2e-02 7.0e-03 1.01e+00 1.669108005e+02 1.671795201e+02 5.8e-08 0.92
29 1.0e-04 5.6e-02 6.3e-03 1.01e+00 1.669296985e+02 1.671714770e+02 5.2e-08 0.95
30 9.0e-05 5.1e-02 5.7e-03 1.01e+00 1.669466517e+02 1.671641960e+02 4.7e-08 0.99
31 8.1e-05 4.7e-02 5.1e-03 1.01e+00 1.669618554e+02 1.671575991e+02 4.2e-08 1.02
32 7.3e-05 4.3e-02 4.6e-03 1.01e+00 1.669754963e+02 1.671516279e+02 3.8e-08 1.05
33 6.5e-05 4.0e-02 4.2e-03 1.01e+00 1.669877371e+02 1.671462248e+02 3.4e-08 1.08
34 5.9e-05 3.6e-02 3.7e-03 1.01e+00 1.669987234e+02 1.671413373e+02 3.1e-08 1.11
35 5.3e-05 3.4e-02 3.4e-03 1.00e+00 1.670085850e+02 1.671369174e+02 2.8e-08 1.14
36 4.8e-05 3.1e-02 3.0e-03 1.00e+00 1.670174385e+02 1.671329213e+02 2.5e-08 1.18
37 4.3e-05 2.9e-02 2.7e-03 1.00e+00 1.670253879e+02 1.671293093e+02 2.2e-08 1.21
38 3.9e-05 2.7e-02 2.5e-03 1.00e+00 1.670325264e+02 1.671260451e+02 2.0e-08 1.24
39 3.5e-05 2.5e-02 2.2e-03 1.00e+00 1.670389376e+02 1.671230959e+02 1.8e-08 1.27
40 3.1e-05 2.3e-02 2.0e-03 1.00e+00 1.670446963e+02 1.671204319e+02 1.6e-08 1.30
41 2.8e-05 2.2e-02 1.8e-03 1.00e+00 1.670498693e+02 1.671180260e+02 1.5e-08 1.33
42 2.5e-05 2.0e-02 1.6e-03 1.00e+00 1.670545168e+02 1.671158535e+02 1.3e-08 1.36
43 2.3e-05 1.9e-02 1.5e-03 1.00e+00 1.670586926e+02 1.671138922e+02 1.2e-08 1.38
44 2.1e-05 1.8e-02 1.3e-03 1.00e+00 1.670624449e+02 1.671121219e+02 1.1e-08 1.42
45 1.8e-05 1.7e-02 1.2e-03 1.00e+00 1.670658170e+02 1.671105241e+02 9.6e-09 1.45
46 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.670688476e+02 1.671090823e+02 8.7e-09 1.49
47 1.5e-05 1.5e-02 9.5e-04 1.00e+00 1.670715717e+02 1.671077815e+02 7.8e-09 1.52
48 1.3e-05 1.4e-02 8.6e-04 1.00e+00 1.670740203e+02 1.671066081e+02 7.0e-09 1.56
49 1.2e-05 1.4e-02 7.7e-04 1.00e+00 1.670762216e+02 1.671055497e+02 6.3e-09 1.59
50 1.1e-05 1.3e-02 6.9e-04 1.00e+00 1.670782006e+02 1.671045954e+02 5.7e-09 1.63
51 9.8e-06 1.3e-02 6.2e-04 1.00e+00 1.670799799e+02 1.671037347e+02 5.1e-09 1.66
52 8.8e-06 1.2e-02 5.6e-04 1.00e+00 1.670815799e+02 1.671029587e+02 4.6e-09 1.69
53 8.0e-06 1.2e-02 5.1e-04 1.00e+00 1.670830186e+02 1.671022592e+02 4.2e-09 1.73
54 7.2e-06 1.1e-02 4.6e-04 1.00e+00 1.670843124e+02 1.671016288e+02 3.7e-09 1.76
55 6.4e-06 1.1e-02 4.1e-04 1.00e+00 1.670854760e+02 1.671010606e+02 3.4e-09 1.79
56 5.8e-06 1.1e-02 3.7e-04 1.00e+00 1.670865226e+02 1.671005485e+02 3.0e-09 1.83
57 5.2e-06 1.0e-02 3.3e-04 1.00e+00 1.670874639e+02 1.671000871e+02 2.7e-09 1.86
58 1.6e-06 3.3e-03 1.1e-04 1.00e+00 1.670932318e+02 1.670972291e+02 8.6e-10 1.89
59 1.5e-06 3.0e-03 9.5e-05 1.00e+00 1.670935007e+02 1.670970984e+02 7.8e-10 1.93
60 1.3e-06 2.7e-03 8.5e-05 1.00e+00 1.670937445e+02 1.670969826e+02 7.0e-10 1.96
61 5.3e-07 1.1e-03 3.4e-05 1.00e+00 1.670950401e+02 1.670963304e+02 2.8e-10 2.00
62 4.8e-07 9.6e-04 3.1e-05 1.00e+00 1.670951286e+02 1.670962897e+02 2.5e-10 2.03
63 4.3e-07 8.6e-04 2.8e-05 1.00e+00 1.670952057e+02 1.670962507e+02 2.3e-10 2.07
64 3.9e-07 7.7e-04 2.5e-05 1.00e+00 1.670952752e+02 1.670962157e+02 2.0e-10 2.10
65 3.5e-07 7.0e-04 2.2e-05 1.00e+00 1.670953377e+02 1.670961841e+02 1.8e-10 2.13
66 3.1e-07 6.3e-04 2.0e-05 9.98e-01 1.670953939e+02 1.670961557e+02 1.6e-10 2.17
67 2.8e-07 5.6e-04 1.8e-05 1.00e+00 1.670954444e+02 1.670961300e+02 1.5e-10 2.20
68 2.5e-07 5.1e-04 1.6e-05 1.00e+00 1.670954899e+02 1.670961069e+02 1.3e-10 2.24
69 2.3e-07 4.6e-04 1.5e-05 1.00e+00 1.670955309e+02 1.670960861e+02 1.2e-10 2.27
70 2.1e-07 4.1e-04 1.3e-05 1.00e+00 1.670955677e+02 1.670960673e+02 1.1e-10 2.30
71 1.8e-07 3.7e-04 1.2e-05 1.00e+00 1.670956008e+02 1.670960505e+02 9.7e-11 2.33
72 1.7e-07 3.3e-04 1.1e-05 9.96e-01 1.670956306e+02 1.670960354e+02 8.7e-11 2.37
73 1.5e-07 3.0e-04 9.6e-06 9.96e-01 1.670956574e+02 1.670960218e+02 7.9e-11 2.40
74 1.3e-07 2.7e-04 8.6e-06 9.98e-01 1.670956815e+02 1.670960095e+02 7.1e-11 2.42
75 1.2e-07 2.4e-04 7.8e-06 1.00e+00 1.670957032e+02 1.670959984e+02 6.4e-11 2.45
76 1.1e-07 2.2e-04 7.0e-06 1.00e+00 1.670957228e+02 1.670959884e+02 5.7e-11 2.49
77 9.8e-08 2.0e-04 6.3e-06 1.01e+00 1.670957406e+02 1.670959793e+02 5.2e-11 2.51
78 8.8e-08 1.8e-04 5.7e-06 9.98e-01 1.670957564e+02 1.670959713e+02 4.7e-11 2.55
79 8.0e-08 1.6e-04 5.1e-06 9.96e-01 1.670957706e+02 1.670959640e+02 4.2e-11 2.58
80 7.2e-08 1.4e-04 4.6e-06 1.00e+00 1.670957835e+02 1.670959574e+02 3.8e-11 2.61
81 6.5e-08 1.3e-04 4.1e-06 1.02e+00 1.670957960e+02 1.670959509e+02 3.4e-11 2.64
82 5.8e-08 1.2e-04 3.7e-06 1.01e+00 1.670958066e+02 1.670959454e+02 3.1e-11 2.67
83 5.2e-08 1.0e-04 3.3e-06 1.02e+00 1.670958166e+02 1.670959403e+02 2.8e-11 2.70
84 4.7e-08 9.4e-05 3.0e-06 1.02e+00 1.670958254e+02 1.670959357e+02 2.5e-11 2.73
85 4.2e-08 8.5e-05 2.7e-06 9.90e-01 1.670958327e+02 1.670959321e+02 2.3e-11 2.76
86 3.8e-08 7.6e-05 2.4e-06 1.02e+00 1.670958399e+02 1.670959283e+02 2.1e-11 2.79
87 3.4e-08 6.9e-05 2.2e-06 9.99e-01 1.670958458e+02 1.670959254e+02 1.9e-11 2.82
88 3.1e-08 6.2e-05 2.0e-06 1.02e+00 1.670958515e+02 1.670959224e+02 1.7e-11 2.85
89 2.8e-08 5.6e-05 1.8e-06 1.02e+00 1.670958566e+02 1.670959198e+02 1.5e-11 2.88
90 2.5e-08 5.0e-05 1.6e-06 1.03e+00 1.670958613e+02 1.670959174e+02 1.4e-11 2.91
91 2.3e-08 4.5e-05 1.4e-06 9.91e-01 1.670958650e+02 1.670959155e+02 1.3e-11 2.94
92 2.0e-08 4.1e-05 1.3e-06 1.01e+00 1.670958685e+02 1.670959138e+02 1.1e-11 2.97
93 1.8e-08 3.6e-05 1.2e-06 1.04e+00 1.670958720e+02 1.670959119e+02 1.1e-11 3.01
94 1.6e-08 3.3e-05 1.0e-06 9.89e-01 1.670958747e+02 1.670959106e+02 9.5e-12 3.03
95 1.5e-08 3.0e-05 9.4e-07 1.00e+00 1.670958771e+02 1.670959094e+02 8.5e-12 3.07
Interior-point optimizer terminated. Time: 3.07.
Optimizer terminated. Time: 3.09
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587707e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709590937e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.11 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.07 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.05
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281650048e+05 2.000000000e+00 1.0e+00 0.10
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260064494e+05 3.586598690e+00 4.8e-01 0.13
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.201036181e+05 9.955120888e+00 1.9e-01 0.16
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.153209901e+05 5.962439059e+01 1.3e-01 0.19
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.127512783e+05 2.237183125e+03 1.3e-01 0.22
5 7.6e+01 9.7e+01 4.2e+03 -7.55e-01 -7.475666777e+04 9.749654678e+03 3.3e-02 0.26
6 3.7e+01 4.7e+01 2.0e+03 -1.99e-01 -4.738446572e+04 1.028818972e+04 1.6e-02 0.29
7 2.3e+01 3.0e+01 1.3e+03 2.71e-01 -3.362062798e+04 7.292031504e+03 1.0e-02 0.32
8 1.4e+01 1.7e+01 7.6e+02 5.18e-01 -2.155826391e+04 4.842536425e+03 6.0e-03 0.35
9 5.4e+00 6.9e+00 3.0e+02 7.18e-01 -8.872619325e+03 2.461233156e+03 2.4e-03 0.38
10 2.4e+00 3.1e+00 1.4e+02 9.11e-01 -3.777346404e+03 1.422699866e+03 1.1e-03 0.41
11 1.8e+00 2.3e+00 1.0e+02 9.74e-01 -2.754293734e+03 1.093078846e+03 7.9e-04 0.44
12 8.1e-01 1.0e+00 4.6e+01 9.82e-01 -1.172184754e+03 5.956564744e+02 3.6e-04 0.47
13 7.5e-01 1.1e+00 4.2e+01 9.46e-01 -1.100302990e+03 5.584998894e+02 3.4e-04 0.50
14 6.2e-01 8.9e-01 3.5e+01 9.87e-01 -8.693253291e+02 5.054041978e+02 2.8e-04 0.53
15 1.8e-01 2.9e-01 1.0e+01 9.89e-01 -1.579535343e+02 2.544989836e+02 8.4e-05 0.58
16 1.0e-01 1.8e-01 5.8e+00 1.01e+00 -1.917025144e+01 2.099840040e+02 4.7e-05 0.61
17 1.0e-01 1.8e-01 5.8e+00 1.02e+00 -1.750094938e+01 2.103208187e+02 4.7e-05 0.65
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.630745127e+01 2.107226670e+02 4.0e-05 0.68
19 4.3e-02 9.8e-02 2.5e+00 1.01e+00 9.144512808e+01 1.875634727e+02 2.0e-05 0.71
20 1.2e-02 1.6e-01 7.1e-01 1.01e+00 1.464200747e+02 1.736017620e+02 5.7e-06 0.74
21 4.7e-03 3.6e-01 2.8e-01 1.01e+00 1.584899640e+02 1.691034890e+02 2.3e-06 0.77
22 1.2e-03 1.8e-01 7.5e-02 1.01e+00 1.645724825e+02 1.674404029e+02 6.1e-07 0.80
23 6.6e-04 1.2e-01 4.1e-02 9.80e-01 1.655128812e+02 1.670779383e+02 3.4e-07 0.83
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662879382e+02 1.667831367e+02 1.1e-07 0.87
25 6.9e-05 1.0e-01 4.5e-03 1.01e+00 1.665171043e+02 1.666889238e+02 3.8e-08 0.90
26 3.1e-05 8.7e-02 2.1e-03 1.01e+00 1.665829623e+02 1.666610868e+02 1.8e-08 0.93
27 2.8e-05 7.9e-02 1.9e-03 1.01e+00 1.665892624e+02 1.666595795e+02 1.6e-08 0.97
28 2.5e-05 7.2e-02 1.7e-03 1.00e+00 1.665940976e+02 1.666573661e+02 1.4e-08 1.00
29 2.3e-05 6.6e-02 1.5e-03 1.00e+00 1.665985134e+02 1.666554467e+02 1.3e-08 1.03
30 2.0e-05 6.0e-02 1.4e-03 1.00e+00 1.666024750e+02 1.666537072e+02 1.1e-08 1.06
31 1.8e-05 5.5e-02 1.2e-03 1.00e+00 1.666060359e+02 1.666521386e+02 1.0e-08 1.09
32 1.7e-05 5.0e-02 1.1e-03 1.00e+00 1.666092359e+02 1.666507230e+02 9.3e-09 1.13
33 1.5e-05 4.6e-02 9.9e-04 1.00e+00 1.666121120e+02 1.666494461e+02 8.4e-09 1.16
34 1.3e-05 4.2e-02 8.9e-04 1.00e+00 1.666146971e+02 1.666482942e+02 7.5e-09 1.19
35 1.2e-05 3.9e-02 8.0e-04 1.00e+00 1.666170208e+02 1.666472553e+02 6.8e-09 1.22
36 1.1e-05 3.5e-02 7.2e-04 1.00e+00 1.666191096e+02 1.666463183e+02 6.1e-09 1.25
37 9.8e-06 3.3e-02 6.5e-04 1.00e+00 1.666209875e+02 1.666454733e+02 5.5e-09 1.29
38 8.8e-06 3.0e-02 5.9e-04 1.00e+00 1.666226757e+02 1.666447114e+02 5.0e-09 1.32
39 7.9e-06 2.8e-02 5.3e-04 1.00e+00 1.666241936e+02 1.666440245e+02 4.5e-09 1.35
40 7.1e-06 2.6e-02 4.7e-04 1.00e+00 1.666255584e+02 1.666434052e+02 4.0e-09 1.38
41 6.4e-06 2.4e-02 4.3e-04 1.00e+00 1.666267856e+02 1.666428468e+02 3.6e-09 1.41
42 5.8e-06 2.3e-02 3.8e-04 1.00e+00 1.666278891e+02 1.666423435e+02 3.3e-09 1.45
43 5.2e-06 2.1e-02 3.5e-04 1.00e+00 1.666288814e+02 1.666418898e+02 2.9e-09 1.48
44 4.7e-06 2.0e-02 3.1e-04 1.00e+00 1.666297737e+02 1.666414809e+02 2.6e-09 1.51
45 4.2e-06 1.9e-02 2.8e-04 1.00e+00 1.666305761e+02 1.666411122e+02 2.4e-09 1.54
46 3.8e-06 1.7e-02 2.5e-04 1.00e+00 1.666312977e+02 1.666407799e+02 2.1e-09 1.56
47 3.4e-06 1.7e-02 2.3e-04 1.00e+00 1.666319466e+02 1.666404803e+02 1.9e-09 1.59
48 3.1e-06 1.6e-02 2.0e-04 1.00e+00 1.666325300e+02 1.666402103e+02 1.7e-09 1.63
49 2.8e-06 1.5e-02 1.8e-04 1.00e+00 1.666330547e+02 1.666399668e+02 1.6e-09 1.65
50 2.5e-06 1.4e-02 1.7e-04 1.00e+00 1.666335265e+02 1.666397473e+02 1.4e-09 1.68
51 2.2e-06 1.4e-02 1.5e-04 1.00e+00 1.666339509e+02 1.666395495e+02 1.3e-09 1.72
52 2.0e-06 1.3e-02 1.3e-04 1.00e+00 1.666343326e+02 1.666393712e+02 1.1e-09 1.75
53 1.8e-06 1.2e-02 1.2e-04 1.00e+00 1.666346759e+02 1.666392106e+02 1.0e-09 1.78
54 1.6e-06 1.2e-02 1.1e-04 1.00e+00 1.666349847e+02 1.666390659e+02 9.2e-10 1.81
55 1.5e-06 1.2e-02 9.8e-05 1.00e+00 1.666352624e+02 1.666389355e+02 8.3e-10 1.84
56 1.3e-06 1.1e-02 8.8e-05 1.00e+00 1.666355122e+02 1.666388180e+02 7.4e-10 1.87
57 1.2e-06 1.1e-02 7.9e-05 1.00e+00 1.666357369e+02 1.666387121e+02 6.7e-10 1.90
58 1.1e-06 1.1e-02 7.1e-05 1.00e+00 1.666359391e+02 1.666386167e+02 6.0e-10 1.93
59 9.6e-07 1.0e-02 6.4e-05 1.00e+00 1.666361208e+02 1.666385307e+02 5.4e-10 1.97
60 8.7e-07 1.0e-02 5.8e-05 1.00e+00 1.666362844e+02 1.666384532e+02 4.9e-10 2.00
61 7.8e-07 9.9e-03 5.2e-05 1.00e+00 1.666364314e+02 1.666383833e+02 4.4e-10 2.03
62 7.0e-07 9.7e-03 4.7e-05 1.00e+00 1.666365636e+02 1.666383204e+02 4.0e-10 2.06
63 6.3e-07 9.5e-03 4.2e-05 1.00e+00 1.666366826e+02 1.666382636e+02 3.6e-10 2.09
64 5.7e-07 9.3e-03 3.8e-05 1.00e+00 1.666367895e+02 1.666382125e+02 3.2e-10 2.12
65 5.1e-07 9.2e-03 3.4e-05 1.00e+00 1.666368857e+02 1.666381664e+02 2.9e-10 2.15
66 4.6e-07 9.0e-03 3.1e-05 1.00e+00 1.666369722e+02 1.666381248e+02 2.6e-10 2.18
67 4.1e-07 8.9e-03 2.8e-05 1.00e+00 1.666370499e+02 1.666380873e+02 2.3e-10 2.22
68 3.7e-07 8.8e-03 2.5e-05 1.00e+00 1.666371198e+02 1.666380535e+02 2.1e-10 2.25
69 3.4e-07 8.7e-03 2.2e-05 1.00e+00 1.666371827e+02 1.666380230e+02 1.9e-10 2.28
70 3.0e-07 8.6e-03 2.0e-05 1.00e+00 1.666372393e+02 1.666379955e+02 1.7e-10 2.31
71 2.7e-07 8.5e-03 1.8e-05 1.00e+00 1.666372901e+02 1.666379708e+02 1.5e-10 2.33
72 2.4e-07 8.5e-03 1.6e-05 9.99e-01 1.666373359e+02 1.666379485e+02 1.4e-10 2.36
73 2.2e-07 8.4e-03 1.5e-05 1.00e+00 1.666373770e+02 1.666379284e+02 1.2e-10 2.40
74 2.0e-07 8.3e-03 1.3e-05 1.00e+00 1.666374141e+02 1.666379103e+02 1.1e-10 2.43
75 1.8e-07 8.3e-03 1.2e-05 1.00e+00 1.666374474e+02 1.666378940e+02 1.0e-10 2.46
76 1.6e-07 8.2e-03 1.1e-05 1.00e+00 1.666374773e+02 1.666378793e+02 9.1e-11 2.49
77 1.4e-07 8.2e-03 9.6e-06 1.00e+00 1.666375043e+02 1.666378660e+02 8.1e-11 2.52
78 1.3e-07 8.1e-03 8.7e-06 9.98e-01 1.666375286e+02 1.666378541e+02 7.3e-11 2.55
79 1.2e-07 8.1e-03 7.8e-06 1.00e+00 1.666375504e+02 1.666378434e+02 6.6e-11 2.58
80 1.1e-07 8.0e-03 7.0e-06 9.98e-01 1.666375700e+02 1.666378338e+02 5.9e-11 2.62
81 9.5e-08 8.0e-03 6.3e-06 9.97e-01 1.666375877e+02 1.666378251e+02 5.3e-11 2.65
82 8.5e-08 8.0e-03 5.7e-06 1.00e+00 1.666376036e+02 1.666378173e+02 4.8e-11 2.68
83 7.7e-08 7.9e-03 5.1e-06 1.00e+00 1.666376180e+02 1.666378102e+02 4.3e-11 2.71
84 6.9e-08 7.9e-03 4.6e-06 1.00e+00 1.666376308e+02 1.666378039e+02 3.9e-11 2.74
85 6.2e-08 7.9e-03 4.1e-06 9.98e-01 1.666376424e+02 1.666377982e+02 3.5e-11 2.77
86 5.6e-08 7.8e-03 3.7e-06 9.94e-01 1.666376529e+02 1.666377931e+02 3.2e-11 2.80
87 5.0e-08 7.8e-03 3.4e-06 9.93e-01 1.666376622e+02 1.666377885e+02 2.8e-11 2.83
88 4.5e-08 7.8e-03 3.0e-06 1.00e+00 1.666376707e+02 1.666377843e+02 2.6e-11 2.86
89 4.1e-08 7.7e-03 2.7e-06 9.93e-01 1.666376783e+02 1.666377806e+02 2.3e-11 2.89
90 3.7e-08 7.7e-03 2.4e-06 9.85e-01 1.666376851e+02 1.666377772e+02 2.1e-11 2.92
91 3.3e-08 7.7e-03 2.2e-06 9.94e-01 1.666376913e+02 1.666377742e+02 1.9e-11 2.95
92 3.0e-08 7.6e-03 2.0e-06 1.00e+00 1.666376968e+02 1.666377715e+02 1.7e-11 2.99
93 2.7e-08 7.6e-03 1.8e-06 9.99e-01 1.666377018e+02 1.666377690e+02 1.5e-11 3.02
94 2.4e-08 6.9e-03 1.6e-06 1.01e+00 1.666377065e+02 1.666377667e+02 1.4e-11 3.05
95 2.2e-08 6.2e-03 1.4e-06 1.02e+00 1.666377109e+02 1.666377645e+02 1.2e-11 3.08
96 2.0e-08 5.6e-03 1.3e-06 9.99e-01 1.666377144e+02 1.666377627e+02 1.1e-11 3.12
97 1.8e-08 5.0e-03 1.2e-06 1.03e+00 1.666377181e+02 1.666377608e+02 1.0e-11 3.15
98 1.6e-08 4.5e-03 1.1e-06 9.80e-01 1.666377210e+02 1.666377595e+02 9.2e-12 3.18
99 1.4e-08 4.1e-03 9.5e-07 9.84e-01 1.666377235e+02 1.666377582e+02 8.2e-12 3.21
100 1.3e-08 3.6e-03 8.5e-07 9.84e-01 1.666377258e+02 1.666377571e+02 7.4e-12 3.24
101 1.2e-08 3.3e-03 7.7e-07 9.98e-01 1.666377279e+02 1.666377560e+02 6.7e-12 3.28
102 1.0e-08 3.0e-03 6.9e-07 9.91e-01 1.666377298e+02 1.666377551e+02 6.0e-12 3.31
103 9.4e-09 2.7e-03 6.2e-07 9.91e-01 1.666377315e+02 1.666377543e+02 5.4e-12 3.35
104 8.4e-09 2.4e-03 5.6e-07 1.02e+00 1.666377331e+02 1.666377535e+02 4.9e-12 3.38
105 7.6e-09 2.2e-03 5.0e-07 9.92e-01 1.666377345e+02 1.666377528e+02 4.4e-12 3.41
106 6.9e-09 1.9e-03 4.5e-07 1.02e+00 1.666377358e+02 1.666377521e+02 4.0e-12 3.44
107 6.2e-09 1.7e-03 4.1e-07 9.26e-01 1.666377369e+02 1.666377516e+02 3.6e-12 3.47
108 5.6e-09 1.6e-03 3.7e-07 1.03e+00 1.666377380e+02 1.666377511e+02 3.3e-12 3.50
109 5.1e-09 1.4e-03 3.3e-07 1.02e+00 1.666377389e+02 1.666377506e+02 3.0e-12 3.53
110 4.6e-09 1.3e-03 3.0e-07 1.00e+00 1.666377397e+02 1.666377502e+02 2.7e-12 3.56
111 4.1e-09 1.1e-03 2.7e-07 1.01e+00 1.666377404e+02 1.666377499e+02 2.4e-12 3.60
112 3.8e-09 1.0e-03 2.4e-07 1.00e+00 1.666377411e+02 1.666377495e+02 2.2e-12 3.63
113 3.4e-09 9.3e-04 2.2e-07 1.00e+00 1.666377417e+02 1.666377493e+02 2.0e-12 3.66
114 2.3e-09 5.1e-05 1.2e-08 9.56e-01 1.666377465e+02 1.666377469e+02 1.5e-13 3.69
Interior-point optimizer terminated. Time: 3.70.
Optimizer terminated. Time: 3.72
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774652e+02 Viol. con: 5e-08 var: 0e+00
Dual. obj: 1.6663774695e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.75 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281256836e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259652932e+05 3.580273369e+00 4.8e-01 0.12
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.199460149e+05 1.005567659e+01 1.9e-01 0.15
3 2.9e+02 3.7e+02 1.6e+04 -8.41e-01 -1.152369810e+05 6.134023870e+01 1.3e-01 0.18
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.125938772e+05 2.293613871e+03 1.3e-01 0.21
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.359808970e+04 9.834634257e+03 3.2e-02 0.24
6 3.6e+01 4.5e+01 2.0e+03 -1.82e-01 -4.627585506e+04 1.009595040e+04 1.6e-02 0.27
7 2.1e+01 2.7e+01 1.2e+03 2.90e-01 -3.084203903e+04 6.881650912e+03 9.2e-03 0.30
8 1.2e+01 1.6e+01 6.7e+02 5.65e-01 -1.932393305e+04 4.483629330e+03 5.4e-03 0.33
9 4.7e+00 6.0e+00 2.6e+02 7.54e-01 -7.701993133e+03 2.174748300e+03 2.1e-03 0.36
10 2.3e+00 2.9e+00 1.3e+02 9.26e-01 -3.516865198e+03 1.397320750e+03 1.0e-03 0.39
11 1.5e+00 1.9e+00 8.4e+01 9.76e-01 -2.278058295e+03 9.686748036e+02 6.7e-04 0.42
12 8.5e-01 1.1e+00 4.7e+01 9.85e-01 -1.223620093e+03 6.225979113e+02 3.8e-04 0.45
13 7.5e-01 9.9e-01 4.2e+01 9.54e-01 -1.085112099e+03 5.622488794e+02 3.3e-04 0.48
14 3.7e-01 4.9e-01 2.1e+01 9.85e-01 -4.368185432e+02 3.757299422e+02 1.7e-04 0.51
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.425570642e+02 2.585351195e+02 8.2e-05 0.54
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 5.484305431e+00 2.044128729e+02 4.1e-05 0.57
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.455519007e+01 2.066562999e+02 4.0e-05 0.60
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 6.001217015e+01 1.948456417e+02 2.8e-05 0.62
19 2.9e-02 7.3e-02 1.7e+00 1.01e+00 1.156052294e+02 1.809648023e+02 1.4e-05 0.66
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.526398173e+02 1.716139719e+02 4.0e-06 0.69
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622522089e+02 1.679613505e+02 1.2e-06 0.71
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639807298e+02 1.674413363e+02 7.3e-07 0.74
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656593401e+02 1.668669763e+02 2.6e-07 0.77
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661981691e+02 1.666657459e+02 1.0e-07 0.80
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662345733e+02 1.666552714e+02 9.2e-08 0.83
26 1.6e-04 7.9e-02 9.9e-03 1.01e+00 1.662646309e+02 1.666431179e+02 8.3e-08 0.86
27 1.4e-04 7.2e-02 8.9e-03 1.01e+00 1.662918627e+02 1.666323887e+02 7.5e-08 0.89
28 1.3e-04 6.6e-02 8.0e-03 1.01e+00 1.663162459e+02 1.666226262e+02 6.7e-08 0.92
29 1.2e-04 6.0e-02 7.2e-03 1.01e+00 1.663381281e+02 1.666137935e+02 6.0e-08 0.95
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663577601e+02 1.666057958e+02 5.4e-08 0.99
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663753750e+02 1.665985555e+02 4.9e-08 1.01
32 8.4e-05 4.6e-02 5.3e-03 1.01e+00 1.663911809e+02 1.665920012e+02 4.4e-08 1.05
33 7.6e-05 4.2e-02 4.7e-03 1.01e+00 1.664053647e+02 1.665860687e+02 4.0e-08 1.08
34 6.8e-05 3.9e-02 4.3e-03 1.01e+00 1.664180941e+02 1.665806999e+02 3.6e-08 1.11
35 6.2e-05 3.5e-02 3.8e-03 1.01e+00 1.664295194e+02 1.665758421e+02 3.2e-08 1.14
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664397754e+02 1.665714477e+02 2.9e-08 1.17
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664489827e+02 1.665674733e+02 2.6e-08 1.20
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664572496e+02 1.665638794e+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 1.27
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664713393e+02 1.665576937e+02 1.9e-08 1.30
41 3.3e-05 2.2e-02 2.0e-03 1.00e+00 1.664773267e+02 1.665550398e+02 1.7e-08 1.33
42 2.9e-05 2.1e-02 1.8e-03 1.00e+00 1.664827048e+02 1.665526419e+02 1.5e-08 1.36
43 2.6e-05 2.0e-02 1.7e-03 1.00e+00 1.664875360e+02 1.665504758e+02 1.4e-08 1.39
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 1.664957764e+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 1.52
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665052611e+02 1.665424193e+02 8.2e-09 1.55
49 1.4e-05 1.4e-02 8.8e-04 1.00e+00 1.665078056e+02 1.665412473e+02 7.4e-09 1.58
50 1.3e-05 1.4e-02 7.9e-04 1.00e+00 1.665100931e+02 1.665401900e+02 6.6e-09 1.61
51 1.1e-05 1.3e-02 7.1e-04 1.00e+00 1.665121497e+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 1.665369035e+02 4.3e-09 1.73
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665185028e+02 1.665362739e+02 3.9e-09 1.77
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665197127e+02 1.665357067e+02 3.5e-09 1.80
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665208010e+02 1.665351956e+02 3.2e-09 1.83
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217800e+02 1.665347351e+02 2.9e-09 1.86
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226606e+02 1.665343203e+02 2.6e-09 1.89
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234527e+02 1.665339465e+02 2.3e-09 1.92
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241652e+02 1.665336096e+02 2.1e-09 1.96
62 3.6e-06 9.5e-03 2.2e-04 1.00e+00 1.665248061e+02 1.665333061e+02 1.9e-09 1.99
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253825e+02 1.665330326e+02 1.7e-09 2.02
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 1.665271641e+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 1.665320210e+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 1.665280837e+02 1.665317429e+02 8.1e-10 2.24
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 1.665285532e+02 1.665315172e+02 6.5e-10 2.29
73 1.1e-06 8.5e-03 7.0e-05 1.00e+00 1.665287532e+02 1.665314209e+02 5.9e-10 2.32
74 1.0e-06 8.4e-03 6.3e-05 1.00e+00 1.665289331e+02 1.665313340e+02 5.3e-10 2.34
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290950e+02 1.665312558e+02 4.8e-10 2.37
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 2.42
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294893e+02 1.665310645e+02 3.5e-10 2.45
79 6.0e-07 8.2e-03 3.7e-05 1.00e+00 1.665295952e+02 1.665310129e+02 3.1e-10 2.47
80 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.665296904e+02 1.665309664e+02 2.8e-10 2.50
81 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.665297761e+02 1.665309244e+02 2.5e-10 2.53
82 4.4e-07 8.1e-03 2.7e-05 1.00e+00 1.665298531e+02 1.665308867e+02 2.3e-10 2.55
83 3.9e-07 8.1e-03 2.5e-05 9.99e-01 1.665299223e+02 1.665308526e+02 2.1e-10 2.58
84 3.5e-07 8.0e-03 2.2e-05 9.99e-01 1.665299846e+02 1.665308219e+02 1.8e-10 2.60
85 3.2e-07 8.0e-03 2.0e-05 9.99e-01 1.665300406e+02 1.665307942e+02 1.7e-10 2.63
86 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.665300910e+02 1.665307692e+02 1.5e-10 2.66
87 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.665301363e+02 1.665307467e+02 1.3e-10 2.69
88 2.3e-07 7.9e-03 1.4e-05 9.98e-01 1.665301771e+02 1.665307265e+02 1.2e-10 2.72
89 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.665302138e+02 1.665307082e+02 1.1e-10 2.74
90 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.665302468e+02 1.665306918e+02 9.8e-11 2.77
91 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.665302764e+02 1.665306770e+02 8.8e-11 2.79
92 1.5e-07 7.9e-03 9.5e-06 1.00e+00 1.665303031e+02 1.665306636e+02 7.9e-11 2.82
93 1.4e-07 7.9e-03 8.6e-06 1.00e+00 1.665303272e+02 1.665306515e+02 7.2e-11 2.84
94 1.2e-07 7.8e-03 7.7e-06 1.00e+00 1.665303488e+02 1.665306407e+02 6.4e-11 2.87
95 1.1e-07 7.8e-03 6.9e-06 9.96e-01 1.665303683e+02 1.665306310e+02 5.8e-11 2.90
96 1.0e-07 7.8e-03 6.2e-06 1.00e+00 1.665303858e+02 1.665306222e+02 5.2e-11 2.92
97 9.0e-08 7.8e-03 5.6e-06 1.00e+00 1.665304015e+02 1.665306143e+02 4.7e-11 2.95
98 8.1e-08 7.0e-03 5.1e-06 1.01e+00 1.665304159e+02 1.665306071e+02 4.2e-11 2.97
99 7.3e-08 6.3e-03 4.5e-06 1.00e+00 1.665304287e+02 1.665306006e+02 3.8e-11 3.00
100 6.5e-08 5.7e-03 4.1e-06 9.99e-01 1.665304401e+02 1.665305949e+02 3.4e-11 3.02
101 5.9e-08 5.1e-03 3.7e-06 9.95e-01 1.665304504e+02 1.665305898e+02 3.1e-11 3.05
102 5.3e-08 4.6e-03 3.3e-06 9.94e-01 1.665304597e+02 1.665305851e+02 2.8e-11 3.07
103 4.8e-08 4.1e-03 3.0e-06 1.00e+00 1.665304681e+02 1.665305809e+02 2.5e-11 3.10
104 4.3e-08 3.7e-03 2.7e-06 1.00e+00 1.665304757e+02 1.665305771e+02 2.3e-11 3.12
105 3.9e-08 3.3e-03 2.4e-06 9.99e-01 1.665304824e+02 1.665305737e+02 2.0e-11 3.15
106 3.5e-08 3.0e-03 2.2e-06 1.02e+00 1.665304889e+02 1.665305704e+02 1.8e-11 3.18
107 3.1e-08 2.7e-03 2.0e-06 1.01e+00 1.665304946e+02 1.665305675e+02 1.7e-11 3.20
108 2.8e-08 2.4e-03 1.8e-06 9.86e-01 1.665304994e+02 1.665305651e+02 1.5e-11 3.23
109 2.5e-08 2.2e-03 1.6e-06 9.97e-01 1.665305038e+02 1.665305629e+02 1.3e-11 3.25
110 2.3e-08 2.0e-03 1.4e-06 1.01e+00 1.665305078e+02 1.665305609e+02 1.2e-11 3.28
111 2.1e-08 1.8e-03 1.3e-06 1.02e+00 1.665305116e+02 1.665305590e+02 1.1e-11 3.30
112 1.8e-08 1.6e-03 1.2e-06 9.96e-01 1.665305147e+02 1.665305574e+02 9.9e-12 3.33
113 1.7e-08 1.4e-03 1.0e-06 9.92e-01 1.665305176e+02 1.665305560e+02 8.9e-12 3.36
114 1.5e-08 1.3e-03 9.4e-07 9.94e-01 1.665305201e+02 1.665305547e+02 8.0e-12 3.38
115 1.3e-08 1.2e-03 8.4e-07 9.62e-01 1.665305224e+02 1.665305536e+02 7.2e-12 3.41
116 1.2e-08 1.1e-03 7.6e-07 9.76e-01 1.665305245e+02 1.665305526e+02 6.5e-12 3.43
117 1.1e-08 9.5e-04 6.8e-07 9.50e-01 1.665305263e+02 1.665305517e+02 5.9e-12 3.46
118 9.8e-09 8.5e-04 6.1e-07 1.04e+00 1.665305283e+02 1.665305507e+02 5.4e-12 3.48
119 8.9e-09 7.7e-04 5.5e-07 9.56e-01 1.665305298e+02 1.665305499e+02 4.8e-12 3.51
120 8.0e-09 6.9e-04 5.0e-07 9.79e-01 1.665305311e+02 1.665305493e+02 4.4e-12 3.54
121 7.2e-09 6.2e-04 4.5e-07 1.02e+00 1.665305324e+02 1.665305486e+02 3.9e-12 3.56
122 6.5e-09 5.6e-04 4.0e-07 1.03e+00 1.665305337e+02 1.665305480e+02 3.6e-12 3.59
123 5.8e-09 5.0e-04 3.6e-07 9.63e-01 1.665305346e+02 1.665305475e+02 3.3e-12 3.61
124 5.2e-09 4.5e-04 3.3e-07 1.06e+00 1.665305357e+02 1.665305469e+02 3.0e-12 3.64
125 4.7e-09 4.1e-04 2.9e-07 9.76e-01 1.665305364e+02 1.665305465e+02 2.7e-12 3.67
126 4.3e-09 3.7e-04 2.6e-07 1.11e+00 1.665305375e+02 1.665305460e+02 2.6e-12 3.70
127 3.9e-09 3.3e-04 2.4e-07 1.02e+00 1.665305381e+02 1.665305457e+02 2.3e-12 3.73
128 3.5e-09 3.0e-04 2.1e-07 8.63e-01 1.665305386e+02 1.665305455e+02 2.1e-12 3.76
129 3.1e-09 2.7e-04 1.9e-07 9.78e-01 1.665305390e+02 1.665305452e+02 1.9e-12 3.79
130 2.8e-09 2.4e-04 1.7e-07 9.82e-01 1.665305394e+02 1.665305450e+02 1.7e-12 3.83
131 7.2e-10 4.6e-05 3.3e-08 9.73e-01 1.665305425e+02 1.665305435e+02 3.4e-13 3.86
Interior-point optimizer terminated. Time: 3.86.
Optimizer terminated. Time: 3.88
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054247e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6653054354e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.9 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.06 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281219234e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259510021e+05 3.575672869e+00 4.8e-01 0.13
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.198706901e+05 1.013520420e+01 1.9e-01 0.16
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.151566034e+05 6.243036620e+01 1.2e-01 0.19
4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125384750e+05 2.273182360e+03 1.2e-01 0.22
5 7.5e+01 9.6e+01 4.1e+03 -7.53e-01 -7.445598330e+04 9.639370520e+03 3.3e-02 0.25
6 3.3e+01 4.2e+01 1.8e+03 -1.95e-01 -4.330174527e+04 1.030586081e+04 1.4e-02 0.28
7 1.9e+01 2.5e+01 1.1e+03 3.42e-01 -2.853323043e+04 6.914887679e+03 8.5e-03 0.31
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.808892682e+04 4.388502305e+03 5.0e-03 0.35
9 4.5e+00 5.7e+00 2.5e+02 7.74e-01 -7.326206249e+03 2.100231130e+03 2.0e-03 0.38
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.203260900e+03 1.327236049e+03 9.3e-04 0.41
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.002115133e+03 8.889931488e+02 6.0e-04 0.45
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.160043557e+03 6.061218949e+02 3.6e-04 0.48
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.074041586e+02 5.061498114e+02 2.9e-04 0.51
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.159478394e+02 3.800116295e+02 1.6e-04 0.55
15 1.8e-01 2.4e-01 9.9e+00 9.93e-01 -1.329997140e+02 2.580966886e+02 8.0e-05 0.58
16 7.9e-02 1.3e-01 4.5e+00 1.01e+00 2.195049373e+01 1.995877123e+02 3.7e-05 0.62
17 6.8e-02 1.1e-01 3.9e+00 1.02e+00 4.516664165e+01 1.977850784e+02 3.2e-05 0.65
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.183261555e+02 1.806140171e+02 1.3e-05 0.68
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.533676837e+02 1.714090938e+02 3.8e-06 0.72
20 2.9e-03 2.4e-01 1.7e-01 1.00e+00 1.613678246e+02 1.680690634e+02 1.4e-06 0.75
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635976914e+02 1.674592374e+02 8.2e-07 0.79
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656258583e+02 1.668059083e+02 2.6e-07 0.82
23 1.8e-04 1.1e-01 1.1e-02 1.01e+00 1.661713286e+02 1.666014424e+02 9.5e-08 0.85
24 8.3e-05 8.8e-02 5.3e-03 1.01e+00 1.663353441e+02 1.665344215e+02 4.4e-08 0.89
25 3.7e-05 8.0e-02 2.4e-03 1.01e+00 1.664121687e+02 1.665024927e+02 2.0e-08 0.92
26 3.4e-05 7.3e-02 2.2e-03 1.01e+00 1.664200124e+02 1.665013261e+02 1.8e-08 0.95
27 3.0e-05 6.6e-02 1.9e-03 1.01e+00 1.664255311e+02 1.664986855e+02 1.6e-08 0.99
28 2.7e-05 6.1e-02 1.7e-03 1.01e+00 1.664306194e+02 1.664964443e+02 1.5e-08 1.02
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664351725e+02 1.664944026e+02 1.3e-08 1.05
30 2.2e-05 5.1e-02 1.4e-03 1.01e+00 1.664392652e+02 1.664925624e+02 1.2e-08 1.09
31 2.0e-05 4.6e-02 1.3e-03 1.00e+00 1.664429414e+02 1.664909008e+02 1.1e-08 1.12
32 1.8e-05 4.2e-02 1.1e-03 1.00e+00 1.664462444e+02 1.664894012e+02 9.7e-09 1.15
33 1.6e-05 3.9e-02 1.0e-03 1.00e+00 1.664492123e+02 1.664880481e+02 8.7e-09 1.19
34 1.5e-05 3.6e-02 9.3e-04 1.00e+00 1.664518794e+02 1.664868273e+02 7.8e-09 1.22
35 1.3e-05 3.3e-02 8.3e-04 1.00e+00 1.664542765e+02 1.664857260e+02 7.1e-09 1.26
36 1.2e-05 3.0e-02 7.5e-04 1.00e+00 1.664564311e+02 1.664847329e+02 6.4e-09 1.29
37 1.1e-05 2.8e-02 6.8e-04 1.00e+00 1.664583680e+02 1.664838373e+02 5.7e-09 1.33
38 9.5e-06 2.6e-02 6.1e-04 1.00e+00 1.664601094e+02 1.664830299e+02 5.1e-09 1.36
39 8.6e-06 2.4e-02 5.5e-04 1.00e+00 1.664616751e+02 1.664823020e+02 4.6e-09 1.40
40 7.7e-06 2.3e-02 4.9e-04 1.00e+00 1.664630830e+02 1.664816460e+02 4.2e-09 1.43
41 6.9e-06 2.1e-02 4.4e-04 1.00e+00 1.664643491e+02 1.664810549e+02 3.8e-09 1.47
42 6.3e-06 2.0e-02 4.0e-04 1.00e+00 1.664654877e+02 1.664805223e+02 3.4e-09 1.50
43 5.6e-06 1.9e-02 3.6e-04 1.00e+00 1.664665119e+02 1.664800424e+02 3.0e-09 1.53
44 5.1e-06 1.7e-02 3.2e-04 1.00e+00 1.664674331e+02 1.664796101e+02 2.7e-09 1.56
45 4.6e-06 1.6e-02 2.9e-04 1.00e+00 1.664682618e+02 1.664792207e+02 2.5e-09 1.59
46 4.1e-06 1.6e-02 2.6e-04 1.00e+00 1.664690072e+02 1.664788699e+02 2.2e-09 1.62
47 3.7e-06 1.5e-02 2.4e-04 1.00e+00 1.664696777e+02 1.664785540e+02 2.0e-09 1.64
48 3.3e-06 1.4e-02 2.1e-04 1.00e+00 1.664702809e+02 1.664782694e+02 1.8e-09 1.68
49 3.0e-06 1.3e-02 1.9e-04 1.00e+00 1.664708236e+02 1.664780130e+02 1.6e-09 1.71
50 2.7e-06 1.3e-02 1.7e-04 1.00e+00 1.664713118e+02 1.664777821e+02 1.5e-09 1.74
51 2.4e-06 1.2e-02 1.5e-04 1.00e+00 1.664717510e+02 1.664775742e+02 1.3e-09 1.77
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664721462e+02 1.664773870e+02 1.2e-09 1.80
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664725018e+02 1.664772185e+02 1.1e-09 1.83
54 1.8e-06 1.1e-02 1.1e-04 1.00e+00 1.664728219e+02 1.664770669e+02 9.5e-10 1.86
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664731099e+02 1.664769304e+02 8.6e-10 1.89
56 1.4e-06 1.0e-02 9.1e-05 1.00e+00 1.664733691e+02 1.664768075e+02 7.7e-10 1.92
57 1.3e-06 1.0e-02 8.2e-05 1.00e+00 1.664736023e+02 1.664766969e+02 7.0e-10 1.95
58 1.2e-06 9.9e-03 7.4e-05 1.00e+00 1.664738122e+02 1.664765974e+02 6.3e-10 1.98
59 1.0e-06 9.6e-03 6.7e-05 1.00e+00 1.664740011e+02 1.664765077e+02 5.6e-10 2.01
60 9.4e-07 9.4e-03 6.0e-05 1.00e+00 1.664741711e+02 1.664764271e+02 5.1e-10 2.04
61 8.4e-07 9.3e-03 5.4e-05 1.00e+00 1.664743241e+02 1.664763545e+02 4.6e-10 2.08
62 7.6e-07 9.1e-03 4.9e-05 1.00e+00 1.664744617e+02 1.664762891e+02 4.1e-10 2.11
63 6.8e-07 8.9e-03 4.4e-05 1.00e+00 1.664745856e+02 1.664762302e+02 3.7e-10 2.14
64 6.2e-07 8.8e-03 3.9e-05 1.00e+00 1.664746970e+02 1.664761771e+02 3.3e-10 2.17
65 5.5e-07 8.7e-03 3.5e-05 1.00e+00 1.664747972e+02 1.664761294e+02 3.0e-10 2.20
66 5.0e-07 8.6e-03 3.2e-05 1.00e+00 1.664748874e+02 1.664760864e+02 2.7e-10 2.23
67 4.5e-07 8.5e-03 2.9e-05 1.00e+00 1.664749685e+02 1.664760476e+02 2.4e-10 2.26
68 4.0e-07 8.4e-03 2.6e-05 1.00e+00 1.664750415e+02 1.664760126e+02 2.2e-10 2.30
69 3.6e-07 8.3e-03 2.3e-05 1.00e+00 1.664751072e+02 1.664759812e+02 2.0e-10 2.33
70 3.3e-07 8.2e-03 2.1e-05 1.00e+00 1.664751662e+02 1.664759528e+02 1.8e-10 2.36
71 2.9e-07 8.2e-03 1.9e-05 1.00e+00 1.664752193e+02 1.664759272e+02 1.6e-10 2.39
72 2.6e-07 8.1e-03 1.7e-05 1.00e+00 1.664752671e+02 1.664759042e+02 1.4e-10 2.42
73 2.4e-07 8.1e-03 1.5e-05 1.00e+00 1.664753101e+02 1.664758835e+02 1.3e-10 2.46
74 2.1e-07 8.0e-03 1.4e-05 1.00e+00 1.664753488e+02 1.664758648e+02 1.2e-10 2.49
75 1.9e-07 8.0e-03 1.2e-05 1.00e+00 1.664753836e+02 1.664758481e+02 1.0e-10 2.52
76 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.664754149e+02 1.664758329e+02 9.4e-11 2.56
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754431e+02 1.664758193e+02 8.5e-11 2.58
78 1.4e-07 7.8e-03 9.0e-06 1.00e+00 1.664754685e+02 1.664758070e+02 7.6e-11 2.61
79 1.3e-07 7.8e-03 8.1e-06 9.99e-01 1.664754913e+02 1.664757960e+02 6.9e-11 2.63
80 1.1e-07 7.8e-03 7.3e-06 9.98e-01 1.664755118e+02 1.664757861e+02 6.2e-11 2.66
81 1.0e-07 7.7e-03 6.6e-06 9.99e-01 1.664755303e+02 1.664757772e+02 5.6e-11 2.69
82 9.2e-08 7.0e-03 5.9e-06 1.00e+00 1.664755471e+02 1.664757690e+02 5.0e-11 2.71
83 8.3e-08 6.3e-03 5.3e-06 1.00e+00 1.664755621e+02 1.664757617e+02 4.5e-11 2.75
84 7.5e-08 5.6e-03 4.8e-06 9.98e-01 1.664755755e+02 1.664757552e+02 4.1e-11 2.78
85 6.7e-08 5.1e-03 4.3e-06 1.00e+00 1.664755876e+02 1.664757493e+02 3.7e-11 2.81
86 6.1e-08 4.6e-03 3.9e-06 9.97e-01 1.664755985e+02 1.664757441e+02 3.3e-11 2.84
87 5.5e-08 4.1e-03 3.5e-06 1.00e+00 1.664756083e+02 1.664757393e+02 3.0e-11 2.87
88 4.9e-08 3.7e-03 3.1e-06 9.97e-01 1.664756172e+02 1.664757351e+02 2.7e-11 2.91
89 4.4e-08 3.3e-03 2.8e-06 1.01e+00 1.664756256e+02 1.664757309e+02 2.4e-11 2.94
90 4.0e-08 3.0e-03 2.5e-06 1.00e+00 1.664756327e+02 1.664757275e+02 2.2e-11 2.97
91 3.6e-08 2.7e-03 2.3e-06 1.01e+00 1.664756393e+02 1.664757242e+02 2.0e-11 3.00
92 3.2e-08 2.4e-03 2.1e-06 1.00e+00 1.664756451e+02 1.664757214e+02 1.8e-11 3.03
93 2.9e-08 2.2e-03 1.9e-06 1.00e+00 1.664756502e+02 1.664757189e+02 1.6e-11 3.06
94 2.6e-08 2.0e-03 1.7e-06 9.89e-01 1.664756549e+02 1.664757167e+02 1.4e-11 3.10
95 2.3e-08 1.8e-03 1.5e-06 9.98e-01 1.664756590e+02 1.664757147e+02 1.3e-11 3.13
96 2.1e-08 1.6e-03 1.4e-06 1.02e+00 1.664756631e+02 1.664757127e+02 1.2e-11 3.16
97 1.9e-08 1.4e-03 1.2e-06 1.01e+00 1.664756666e+02 1.664757110e+02 1.1e-11 3.19
98 1.7e-08 1.3e-03 1.1e-06 1.02e+00 1.664756698e+02 1.664757094e+02 9.6e-12 3.23
99 1.5e-08 1.2e-03 9.8e-07 1.01e+00 1.664756725e+02 1.664757081e+02 8.6e-12 3.26
100 1.4e-08 1.0e-03 8.9e-07 9.78e-01 1.664756749e+02 1.664757070e+02 7.8e-12 3.29
101 1.2e-08 9.4e-04 8.0e-07 9.77e-01 1.664756770e+02 1.664757060e+02 7.0e-12 3.32
102 1.1e-08 8.5e-04 7.2e-07 1.01e+00 1.664756791e+02 1.664757050e+02 6.3e-12 3.35
103 1.0e-08 7.6e-04 6.5e-07 9.89e-01 1.664756808e+02 1.664757042e+02 5.7e-12 3.38
104 9.1e-09 6.9e-04 5.8e-07 9.93e-01 1.664756824e+02 1.664757034e+02 5.1e-12 3.41
105 1.6e-09 7.0e-05 6.0e-08 9.96e-01 1.664756951e+02 1.664756973e+02 5.3e-13 3.44
Interior-point optimizer terminated. Time: 3.45.
Optimizer terminated. Time: 3.48
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569509e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6647569725e+02 Viol. con: 0e+00 var: 5e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.51 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280507085e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258771624e+05 3.574359702e+00 4.8e-01 0.11
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197602096e+05 1.017425566e+01 1.9e-01 0.14
3 2.9e+02 3.6e+02 1.6e+04 -8.40e-01 -1.150415153e+05 6.302666036e+01 1.2e-01 0.17
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124385251e+05 2.261511411e+03 1.2e-01 0.20
5 7.5e+01 9.6e+01 4.2e+03 -7.52e-01 -7.457725486e+04 9.579684680e+03 3.3e-02 0.23
6 3.0e+01 3.8e+01 1.7e+03 -1.97e-01 -4.046194350e+04 1.027494923e+04 1.3e-02 0.27
7 1.8e+01 2.3e+01 1.0e+03 3.92e-01 -2.694174077e+04 6.671788576e+03 7.9e-03 0.30
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.557332432e+04 3.882110007e+03 4.3e-03 0.33
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.391546675e+03 1.890777874e+03 1.7e-03 0.36
10 2.1e+00 2.6e+00 1.2e+02 9.41e-01 -3.269338870e+03 1.203686463e+03 9.2e-04 0.40
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.531727226e+03 7.332094252e+02 4.7e-04 0.43
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.183155258e+03 6.026769051e+02 3.6e-04 0.48
13 4.8e-01 6.1e-01 2.7e+01 9.74e-01 -6.439310531e+02 4.230724632e+02 2.2e-04 0.50
14 2.7e-01 3.5e-01 1.5e+01 1.00e+00 -2.812291121e+02 3.129623966e+02 1.2e-04 0.53
15 9.6e-02 1.5e-01 5.4e+00 1.00e+00 -7.784144789e+00 2.065098023e+02 4.4e-05 0.56
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.588943606e+01 2.085235881e+02 4.0e-05 0.59
17 5.7e-02 9.1e-02 3.3e+00 1.02e+00 6.585538069e+01 1.938270789e+02 2.7e-05 0.62
18 2.7e-02 7.0e-02 1.6e+00 1.02e+00 1.194141586e+02 1.796913226e+02 1.3e-05 0.65
19 7.7e-03 1.9e-01 4.5e-01 1.02e+00 1.539698648e+02 1.710712029e+02 3.6e-06 0.69
20 3.1e-03 2.3e-01 1.8e-01 1.01e+00 1.611157275e+02 1.680967973e+02 1.5e-06 0.72
21 1.8e-03 1.4e-01 1.1e-01 1.01e+00 1.633750921e+02 1.674648435e+02 8.7e-07 0.75
22 5.3e-04 1.3e-01 3.3e-02 1.01e+00 1.655450080e+02 1.667966744e+02 2.7e-07 0.78
23 3.8e-04 1.1e-01 2.4e-02 9.97e-01 1.658045896e+02 1.666958824e+02 1.9e-07 0.81
24 2.1e-04 7.7e-02 1.3e-02 9.85e-01 1.660854518e+02 1.665888981e+02 1.1e-07 0.84
25 1.8e-04 6.6e-02 1.1e-02 1.00e+00 1.661391885e+02 1.665725795e+02 9.5e-08 0.87
26 1.7e-04 6.0e-02 1.0e-02 1.01e+00 1.661713578e+02 1.665611477e+02 8.5e-08 0.90
27 1.5e-04 5.5e-02 9.2e-03 1.01e+00 1.661989401e+02 1.665496293e+02 7.7e-08 0.93
28 1.3e-04 5.0e-02 8.3e-03 1.01e+00 1.662239097e+02 1.665394550e+02 6.9e-08 0.97
29 1.2e-04 4.6e-02 7.5e-03 1.01e+00 1.662462741e+02 1.665302046e+02 6.2e-08 1.00
30 1.1e-04 4.2e-02 6.7e-03 1.01e+00 1.662663465e+02 1.665218349e+02 5.6e-08 1.03
31 9.8e-05 3.9e-02 6.1e-03 1.01e+00 1.662843574e+02 1.665142572e+02 5.0e-08 1.06
32 8.8e-05 3.5e-02 5.5e-03 1.01e+00 1.663005205e+02 1.665073979e+02 4.5e-08 1.09
33 7.9e-05 3.3e-02 4.9e-03 1.00e+00 1.663150256e+02 1.665011892e+02 4.1e-08 1.12
34 7.1e-05 3.0e-02 4.4e-03 1.00e+00 1.663280434e+02 1.664955696e+02 3.7e-08 1.16
35 6.4e-05 2.8e-02 4.0e-03 1.00e+00 1.663397273e+02 1.664904840e+02 3.3e-08 1.19
36 5.8e-05 2.6e-02 3.6e-03 1.00e+00 1.663502148e+02 1.664858822e+02 3.0e-08 1.22
37 5.2e-05 2.4e-02 3.2e-03 1.00e+00 1.663596293e+02 1.664817191e+02 2.7e-08 1.25
38 4.7e-05 2.2e-02 2.9e-03 1.00e+00 1.663680814e+02 1.664779537e+02 2.4e-08 1.28
39 4.2e-05 2.1e-02 2.6e-03 1.00e+00 1.663756705e+02 1.664745487e+02 2.2e-08 1.31
40 3.8e-05 2.0e-02 2.4e-03 1.00e+00 1.663824853e+02 1.664714702e+02 2.0e-08 1.34
41 3.4e-05 1.8e-02 2.1e-03 1.00e+00 1.663886054e+02 1.664686875e+02 1.8e-08 1.38
42 3.1e-05 1.7e-02 1.9e-03 1.00e+00 1.663941021e+02 1.664661727e+02 1.6e-08 1.41
43 2.8e-05 1.6e-02 1.7e-03 1.00e+00 1.663990394e+02 1.664639004e+02 1.4e-08 1.44
44 2.5e-05 1.5e-02 1.5e-03 1.00e+00 1.664034744e+02 1.664618474e+02 1.3e-08 1.47
45 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664074587e+02 1.664599928e+02 1.2e-08 1.50
46 2.0e-05 1.4e-02 1.3e-03 1.00e+00 1.664110382e+02 1.664583178e+02 1.0e-08 1.54
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664142543e+02 1.664568051e+02 9.4e-09 1.57
48 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664171441e+02 1.664554391e+02 8.4e-09 1.60
49 1.5e-05 1.2e-02 9.1e-04 1.00e+00 1.664197409e+02 1.664542059e+02 7.6e-09 1.64
50 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664220744e+02 1.664530926e+02 6.8e-09 1.67
51 1.2e-05 1.1e-02 7.4e-04 1.00e+00 1.664241716e+02 1.664520878e+02 6.2e-09 1.70
52 1.1e-05 1.1e-02 6.6e-04 1.00e+00 1.664260565e+02 1.664511809e+02 5.5e-09 1.73
53 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664277507e+02 1.664503626e+02 5.0e-09 1.76
54 8.7e-06 1.0e-02 5.4e-04 1.00e+00 1.664292737e+02 1.664496243e+02 4.5e-09 1.80
55 7.8e-06 1.0e-02 4.8e-04 1.00e+00 1.664306427e+02 1.664489583e+02 4.0e-09 1.83
56 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318735e+02 1.664483576e+02 3.6e-09 1.86
57 6.3e-06 9.8e-03 3.9e-04 1.00e+00 1.664329801e+02 1.664478158e+02 3.3e-09 1.88
58 5.7e-06 9.6e-03 3.5e-04 1.00e+00 1.664339750e+02 1.664473272e+02 2.9e-09 1.91
59 5.1e-06 9.4e-03 3.2e-04 1.00e+00 1.664348696e+02 1.664468866e+02 2.7e-09 1.94
60 4.6e-06 9.3e-03 2.9e-04 1.00e+00 1.664356740e+02 1.664464894e+02 2.4e-09 1.96
61 4.1e-06 9.1e-03 2.6e-04 1.00e+00 1.664363973e+02 1.664461312e+02 2.1e-09 2.00
62 3.7e-06 9.0e-03 2.3e-04 1.00e+00 1.664370477e+02 1.664458083e+02 1.9e-09 2.03
63 3.4e-06 8.9e-03 2.1e-04 1.00e+00 1.664376325e+02 1.664455171e+02 1.7e-09 2.06
64 3.0e-06 8.8e-03 1.9e-04 1.00e+00 1.664381584e+02 1.664452546e+02 1.6e-09 2.09
65 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386314e+02 1.664450180e+02 1.4e-09 2.12
66 2.4e-06 8.6e-03 1.5e-04 1.00e+00 1.664390568e+02 1.664448048e+02 1.3e-09 2.16
67 2.2e-06 8.5e-03 1.4e-04 1.00e+00 1.664394394e+02 1.664446127e+02 1.1e-09 2.19
68 2.0e-06 8.4e-03 1.2e-04 1.00e+00 1.664397836e+02 1.664444396e+02 1.0e-09 2.22
69 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400933e+02 1.664442837e+02 9.2e-10 2.25
70 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403719e+02 1.664441432e+02 8.3e-10 2.28
71 1.4e-06 8.2e-03 9.0e-05 1.00e+00 1.664406225e+02 1.664440168e+02 7.5e-10 2.31
72 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408479e+02 1.664439028e+02 6.7e-10 2.35
73 1.2e-06 8.1e-03 7.3e-05 1.00e+00 1.664410508e+02 1.664438002e+02 6.1e-10 2.38
74 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412333e+02 1.664437078e+02 5.5e-10 2.41
75 9.5e-07 8.0e-03 5.9e-05 1.00e+00 1.664413974e+02 1.664436246e+02 4.9e-10 2.45
76 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415451e+02 1.664435496e+02 4.4e-10 2.48
77 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416780e+02 1.664434821e+02 4.0e-10 2.51
78 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417976e+02 1.664434212e+02 3.6e-10 2.54
79 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419051e+02 1.664433664e+02 3.2e-10 2.58
80 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664420018e+02 1.664433171e+02 2.9e-10 2.61
81 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420889e+02 1.664432726e+02 2.6e-10 2.64
82 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421672e+02 1.664432325e+02 2.4e-10 2.67
83 4.1e-07 7.8e-03 2.5e-05 1.00e+00 1.664422376e+02 1.664431964e+02 2.1e-10 2.70
84 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664423010e+02 1.664431639e+02 1.9e-10 2.74
85 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423580e+02 1.664431346e+02 1.7e-10 2.77
86 3.0e-07 7.7e-03 1.9e-05 9.98e-01 1.664424092e+02 1.664431083e+02 1.5e-10 2.80
87 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424554e+02 1.664430845e+02 1.4e-10 2.83
88 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424970e+02 1.664430631e+02 1.3e-10 2.87
89 2.2e-07 7.7e-03 1.3e-05 9.99e-01 1.664425343e+02 1.664430439e+02 1.1e-10 2.90
90 2.0e-07 7.6e-03 1.2e-05 9.98e-01 1.664425680e+02 1.664430266e+02 1.0e-10 2.93
91 1.8e-07 7.6e-03 1.1e-05 9.99e-01 1.664425982e+02 1.664430111e+02 9.1e-11 2.96
92 1.6e-07 7.6e-03 9.8e-06 1.00e+00 1.664426255e+02 1.664429970e+02 8.2e-11 3.00
93 1.4e-07 7.6e-03 8.9e-06 9.98e-01 1.664426500e+02 1.664429844e+02 7.4e-11 3.03
94 1.3e-07 7.6e-03 8.0e-06 1.00e+00 1.664426721e+02 1.664429731e+02 6.6e-11 3.06
95 1.2e-07 7.6e-03 7.2e-06 1.00e+00 1.664426920e+02 1.664429628e+02 6.0e-11 3.09
96 1.0e-07 7.6e-03 6.5e-06 1.00e+00 1.664427099e+02 1.664429536e+02 5.4e-11 3.12
97 9.3e-08 7.5e-03 5.8e-06 1.00e+00 1.664427260e+02 1.664429453e+02 4.8e-11 3.16
98 8.4e-08 7.5e-03 5.2e-06 9.96e-01 1.664427404e+02 1.664429379e+02 4.4e-11 3.19
99 7.6e-08 6.8e-03 4.7e-06 1.01e+00 1.664427538e+02 1.664429310e+02 3.9e-11 3.22
100 6.8e-08 6.1e-03 4.2e-06 9.97e-01 1.664427655e+02 1.664429250e+02 3.5e-11 3.25
101 6.1e-08 5.5e-03 3.8e-06 9.95e-01 1.664427760e+02 1.664429196e+02 3.2e-11 3.29
102 5.5e-08 4.9e-03 3.4e-06 9.93e-01 1.664427855e+02 1.664429147e+02 2.9e-11 3.32
103 5.0e-08 4.4e-03 3.1e-06 1.01e+00 1.664427944e+02 1.664429101e+02 2.6e-11 3.36
104 4.5e-08 4.0e-03 2.8e-06 9.99e-01 1.664428020e+02 1.664429062e+02 2.3e-11 3.39
105 4.0e-08 3.6e-03 2.5e-06 1.01e+00 1.664428090e+02 1.664429026e+02 2.1e-11 3.42
106 3.6e-08 3.2e-03 2.3e-06 1.00e+00 1.664428152e+02 1.664428994e+02 1.9e-11 3.45
107 3.3e-08 2.9e-03 2.0e-06 1.00e+00 1.664428207e+02 1.664428966e+02 1.7e-11 3.49
108 2.9e-08 2.6e-03 1.8e-06 9.81e-01 1.664428257e+02 1.664428940e+02 1.5e-11 3.52
109 2.6e-08 2.4e-03 1.6e-06 1.02e+00 1.664428306e+02 1.664428915e+02 1.4e-11 3.55
110 2.4e-08 2.1e-03 1.5e-06 9.84e-01 1.664428346e+02 1.664428894e+02 1.3e-11 3.58
111 2.1e-08 1.9e-03 1.3e-06 1.01e+00 1.664428383e+02 1.664428875e+02 1.1e-11 3.61
112 1.9e-08 1.7e-03 1.2e-06 9.74e-01 1.664428415e+02 1.664428859e+02 1.0e-11 3.65
113 1.7e-08 1.5e-03 1.1e-06 9.94e-01 1.664428445e+02 1.664428844e+02 9.1e-12 3.68
114 1.6e-08 1.4e-03 9.7e-07 9.79e-01 1.664428471e+02 1.664428831e+02 8.2e-12 3.71
115 1.4e-08 1.3e-03 8.7e-07 1.06e+00 1.664428501e+02 1.664428814e+02 7.6e-12 3.74
116 1.3e-08 1.1e-03 7.8e-07 1.04e+00 1.664428525e+02 1.664428801e+02 7.0e-12 3.77
117 1.2e-08 1.0e-03 7.1e-07 1.03e+00 1.664428546e+02 1.664428791e+02 6.4e-12 3.81
118 1.1e-08 9.1e-04 6.4e-07 9.61e-01 1.664428562e+02 1.664428783e+02 5.7e-12 3.84
119 9.5e-09 8.2e-04 5.7e-07 9.04e-01 1.664428577e+02 1.664428776e+02 5.2e-12 3.87
120 8.5e-09 7.4e-04 5.1e-07 9.09e-01 1.664428590e+02 1.664428770e+02 4.6e-12 3.90
121 7.7e-09 6.7e-04 4.6e-07 9.52e-01 1.664428601e+02 1.664428764e+02 4.2e-12 3.94
122 7.1e-09 6.0e-04 4.2e-07 8.88e-01 1.664428612e+02 1.664428759e+02 3.8e-12 3.97
123 6.9e-09 5.4e-04 3.8e-07 9.03e-01 1.664428621e+02 1.664428754e+02 3.4e-12 4.00
124 6.2e-09 4.9e-04 3.4e-07 7.73e-01 1.664428630e+02 1.664428750e+02 3.1e-12 4.03
125 6.1e-09 4.4e-04 3.0e-07 1.20e+00 1.664428645e+02 1.664428740e+02 3.0e-12 4.07
126 5.8e-09 3.9e-04 2.7e-07 6.00e-01 1.664428652e+02 1.664428733e+02 2.7e-12 4.10
127 6.0e-09 3.5e-04 2.5e-07 1.57e+00 1.664428659e+02 1.664428729e+02 2.4e-12 4.14
128 6.0e-09 3.2e-04 2.2e-07 5.61e-01 1.664428663e+02 1.664428729e+02 2.2e-12 4.17
129 5.6e-09 2.9e-04 2.0e-07 1.43e+00 1.664428667e+02 1.664428727e+02 2.0e-12 4.20
130 1.4e-08 2.6e-04 1.8e-07 1.16e+00 1.664428675e+02 1.664428722e+02 1.9e-12 4.24
131 1.2e-08 2.3e-04 1.6e-07 5.69e-01 1.664428679e+02 1.664428719e+02 1.7e-12 4.27
132 8.2e-09 2.2e-04 1.5e-07 2.64e-01 1.664428681e+02 1.664428720e+02 1.5e-12 4.30
133 7.3e-09 2.0e-04 1.3e-07 4.11e-01 1.664428684e+02 1.664428719e+02 1.4e-12 4.33
134 1.2e-08 1.8e-04 1.2e-07 9.08e+00 1.664428687e+02 1.664428715e+02 1.2e-12 4.36
135 1.3e-08 1.6e-04 1.1e-07 5.44e-01 1.664428688e+02 1.664428715e+02 1.1e-12 4.40
136 1.4e-08 1.5e-04 9.9e-08 4.89e-01 1.664428690e+02 1.664428714e+02 9.9e-13 4.43
Interior-point optimizer terminated. Time: 4.43.
Optimizer terminated. Time: 4.46
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286903e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6644287145e+02 Viol. con: 0e+00 var: 7e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.48 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: 0.02
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 -1.280489594e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258746550e+05 3.573539883e+00 4.8e-01 0.11
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197248427e+05 1.020048523e+01 1.9e-01 0.14
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150061319e+05 6.350476105e+01 1.2e-01 0.16
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124090165e+05 2.256519374e+03 1.2e-01 0.19
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.445967035e+04 9.583489180e+03 3.3e-02 0.22
6 3.0e+01 3.8e+01 1.7e+03 -1.95e-01 -4.029038215e+04 1.021236921e+04 1.3e-02 0.25
7 1.8e+01 2.3e+01 9.9e+02 3.95e-01 -2.693745951e+04 6.641945886e+03 7.9e-03 0.29
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.531785338e+04 3.830167532e+03 4.2e-03 0.31
9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.905213945e+03 1.796577099e+03 1.6e-03 0.34
10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.113334618e+03 1.193555863e+03 8.9e-04 0.37
11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.224280053e+03 6.160635774e+02 3.8e-04 0.41
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.207775474e+03 5.913571963e+02 3.7e-04 0.44
13 5.1e-01 6.6e-01 2.8e+01 9.72e-01 -7.035605432e+02 4.268404535e+02 2.3e-04 0.46
14 3.1e-01 4.1e-01 1.8e+01 1.00e+00 -3.505869252e+02 3.411894390e+02 1.4e-04 0.49
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.684562595e+01 2.143806171e+02 5.0e-05 0.52
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.197985931e+01 2.045203985e+02 3.8e-05 0.55
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.510723675e+01 1.869526671e+02 1.9e-05 0.58
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425305113e+02 1.741993408e+02 6.7e-06 0.61
19 6.3e-03 7.2e-02 3.6e-01 1.01e+00 1.556723996e+02 1.695993101e+02 2.9e-06 0.64
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638768406e+02 1.673910905e+02 7.5e-07 0.67
21 8.1e-04 1.1e-01 5.0e-02 9.78e-01 1.650485830e+02 1.669448294e+02 4.1e-07 0.71
22 2.5e-04 1.1e-01 1.6e-02 9.89e-01 1.659979766e+02 1.666010956e+02 1.3e-07 0.74
23 1.2e-04 8.9e-02 7.5e-03 1.01e+00 1.662206177e+02 1.665064992e+02 6.3e-08 0.77
24 4.6e-05 8.6e-02 3.0e-03 1.01e+00 1.663410761e+02 1.664565287e+02 2.6e-08 0.80
25 2.1e-05 7.8e-02 1.4e-03 1.01e+00 1.663845798e+02 1.664381888e+02 1.2e-08 0.84
26 1.9e-05 7.1e-02 1.3e-03 1.00e+00 1.663890892e+02 1.664373654e+02 1.1e-08 0.87
27 1.7e-05 6.5e-02 1.1e-03 1.01e+00 1.663923631e+02 1.664357989e+02 9.7e-09 0.90
28 1.6e-05 5.9e-02 1.0e-03 1.00e+00 1.663953688e+02 1.664344544e+02 8.8e-09 0.93
29 1.4e-05 5.4e-02 9.3e-04 1.00e+00 1.663980589e+02 1.664332298e+02 7.9e-09 0.96
30 1.3e-05 5.0e-02 8.4e-04 1.00e+00 1.664004779e+02 1.664321268e+02 7.1e-09 1.00
31 1.1e-05 4.5e-02 7.5e-04 1.00e+00 1.664026515e+02 1.664311315e+02 6.4e-09 1.03
32 1.0e-05 4.2e-02 6.8e-04 1.00e+00 1.664046050e+02 1.664302337e+02 5.7e-09 1.06
33 9.2e-06 3.8e-02 6.1e-04 1.00e+00 1.664063608e+02 1.664294240e+02 5.2e-09 1.09
34 8.3e-06 3.5e-02 5.5e-04 1.00e+00 1.664079391e+02 1.664286937e+02 4.7e-09 1.13
35 7.5e-06 3.3e-02 5.0e-04 1.00e+00 1.664093578e+02 1.664280353e+02 4.2e-09 1.16
36 6.7e-06 3.0e-02 4.5e-04 1.00e+00 1.664106333e+02 1.664274416e+02 3.8e-09 1.19
37 6.1e-06 2.8e-02 4.0e-04 1.00e+00 1.664117801e+02 1.664269064e+02 3.4e-09 1.22
38 5.5e-06 2.6e-02 3.6e-04 1.00e+00 1.664128112e+02 1.664264240e+02 3.1e-09 1.25
39 4.9e-06 2.4e-02 3.2e-04 1.00e+00 1.664137383e+02 1.664259891e+02 2.8e-09 1.29
40 4.4e-06 2.2e-02 2.9e-04 1.00e+00 1.664145721e+02 1.664255972e+02 2.5e-09 1.32
41 4.0e-06 2.1e-02 2.6e-04 1.00e+00 1.664153218e+02 1.664252439e+02 2.2e-09 1.35
42 3.6e-06 2.0e-02 2.4e-04 1.00e+00 1.664159960e+02 1.664249255e+02 2.0e-09 1.38
43 3.2e-06 1.8e-02 2.1e-04 1.00e+00 1.664166022e+02 1.664246385e+02 1.8e-09 1.41
44 2.9e-06 1.7e-02 1.9e-04 1.00e+00 1.664171475e+02 1.664243799e+02 1.6e-09 1.44
45 2.6e-06 1.6e-02 1.7e-04 1.00e+00 1.664176378e+02 1.664241468e+02 1.5e-09 1.47
46 2.3e-06 1.6e-02 1.6e-04 1.00e+00 1.664180789e+02 1.664239369e+02 1.3e-09 1.50
47 2.1e-06 1.5e-02 1.4e-04 1.00e+00 1.664184757e+02 1.664237477e+02 1.2e-09 1.53
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664188326e+02 1.664235774e+02 1.1e-09 1.56
49 1.7e-06 1.3e-02 1.1e-04 1.00e+00 1.664191537e+02 1.664234239e+02 9.6e-10 1.59
50 1.5e-06 1.3e-02 1.0e-04 1.00e+00 1.664194426e+02 1.664232858e+02 8.6e-10 1.62
51 1.4e-06 1.2e-02 9.2e-05 1.00e+00 1.664197025e+02 1.664231614e+02 7.8e-10 1.65
52 1.2e-06 1.2e-02 8.3e-05 1.00e+00 1.664199364e+02 1.664230494e+02 7.0e-10 1.69
53 1.1e-06 1.1e-02 7.4e-05 1.00e+00 1.664201468e+02 1.664229485e+02 6.3e-10 1.72
54 1.0e-06 1.1e-02 6.7e-05 1.00e+00 1.664203361e+02 1.664228576e+02 5.7e-10 1.75
55 9.1e-07 1.1e-02 6.0e-05 1.00e+00 1.664205064e+02 1.664227758e+02 5.1e-10 1.78
56 8.2e-07 1.0e-02 5.4e-05 1.00e+00 1.664206596e+02 1.664227021e+02 4.6e-10 1.81
57 7.4e-07 1.0e-02 4.9e-05 1.00e+00 1.664207974e+02 1.664226357e+02 4.1e-10 1.84
58 6.6e-07 9.9e-03 4.4e-05 1.00e+00 1.664209214e+02 1.664225758e+02 3.7e-10 1.87
59 6.0e-07 9.7e-03 4.0e-05 1.00e+00 1.664210330e+02 1.664225220e+02 3.3e-10 1.89
60 5.4e-07 9.5e-03 3.6e-05 1.00e+00 1.664211334e+02 1.664224735e+02 3.0e-10 1.92
61 4.8e-07 9.3e-03 3.2e-05 1.00e+00 1.664212236e+02 1.664224297e+02 2.7e-10 1.95
62 4.3e-07 9.1e-03 2.9e-05 1.00e+00 1.664213048e+02 1.664223903e+02 2.4e-10 1.98
63 3.9e-07 9.0e-03 2.6e-05 9.99e-01 1.664213779e+02 1.664223549e+02 2.2e-10 2.01
64 3.5e-07 8.9e-03 2.3e-05 1.00e+00 1.664214436e+02 1.664223229e+02 2.0e-10 2.04
65 3.2e-07 8.7e-03 2.1e-05 9.99e-01 1.664215027e+02 1.664222941e+02 1.8e-10 2.07
66 2.9e-07 8.6e-03 1.9e-05 1.00e+00 1.664215559e+02 1.664222682e+02 1.6e-10 2.10
67 2.6e-07 8.5e-03 1.7e-05 9.98e-01 1.664216037e+02 1.664222449e+02 1.4e-10 2.12
68 2.3e-07 8.4e-03 1.5e-05 1.00e+00 1.664216468e+02 1.664222238e+02 1.3e-10 2.15
69 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664216856e+02 1.664222048e+02 1.2e-10 2.18
70 1.9e-07 8.3e-03 1.2e-05 1.00e+00 1.664217204e+02 1.664221877e+02 1.1e-10 2.22
71 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217518e+02 1.664221724e+02 9.5e-11 2.25
72 1.5e-07 8.1e-03 1.0e-05 9.99e-01 1.664217800e+02 1.664221586e+02 8.5e-11 2.28
73 1.4e-07 8.1e-03 9.0e-06 1.00e+00 1.664218056e+02 1.664221460e+02 7.7e-11 2.30
74 1.2e-07 8.0e-03 8.1e-06 1.00e+00 1.664218285e+02 1.664221348e+02 6.9e-11 2.33
75 1.1e-07 8.0e-03 7.3e-06 1.00e+00 1.664218490e+02 1.664221247e+02 6.2e-11 2.37
76 9.9e-08 7.9e-03 6.6e-06 9.98e-01 1.664218675e+02 1.664221157e+02 5.6e-11 2.40
77 9.0e-08 7.9e-03 5.9e-06 9.98e-01 1.664218842e+02 1.664221076e+02 5.0e-11 2.43
78 8.1e-08 7.8e-03 5.3e-06 9.97e-01 1.664218992e+02 1.664221002e+02 4.5e-11 2.46
79 7.3e-08 7.8e-03 4.8e-06 9.96e-01 1.664219127e+02 1.664220937e+02 4.1e-11 2.49
80 6.5e-08 7.8e-03 4.3e-06 1.00e+00 1.664219248e+02 1.664220877e+02 3.7e-11 2.53
81 5.9e-08 7.8e-03 3.9e-06 1.00e+00 1.664219357e+02 1.664220823e+02 3.3e-11 2.56
82 5.3e-08 7.7e-03 3.5e-06 9.92e-01 1.664219455e+02 1.664220775e+02 3.0e-11 2.59
83 4.8e-08 7.7e-03 3.2e-06 1.00e+00 1.664219544e+02 1.664220732e+02 2.7e-11 2.62
84 4.3e-08 6.9e-03 2.8e-06 1.01e+00 1.664219627e+02 1.664220690e+02 2.4e-11 2.65
85 3.9e-08 6.2e-03 2.6e-06 1.00e+00 1.664219699e+02 1.664220655e+02 2.2e-11 2.69
86 3.5e-08 5.6e-03 2.3e-06 1.01e+00 1.664219766e+02 1.664220622e+02 2.0e-11 2.72
87 3.1e-08 5.0e-03 2.1e-06 1.01e+00 1.664219826e+02 1.664220592e+02 1.8e-11 2.75
88 2.8e-08 4.5e-03 1.9e-06 1.01e+00 1.664219880e+02 1.664220565e+02 1.6e-11 2.78
89 2.5e-08 4.1e-03 1.7e-06 9.93e-01 1.664219926e+02 1.664220543e+02 1.5e-11 2.82
90 2.3e-08 3.7e-03 1.5e-06 9.75e-01 1.664219967e+02 1.664220523e+02 1.3e-11 2.85
91 2.1e-08 3.3e-03 1.4e-06 1.01e+00 1.664220005e+02 1.664220505e+02 1.2e-11 2.88
92 1.8e-08 3.0e-03 1.2e-06 9.83e-01 1.664220039e+02 1.664220488e+02 1.1e-11 2.91
93 1.7e-08 2.7e-03 1.1e-06 1.00e+00 1.664220069e+02 1.664220473e+02 9.5e-12 2.94
94 1.5e-08 2.4e-03 9.9e-07 1.02e+00 1.664220099e+02 1.664220458e+02 8.7e-12 2.97
95 1.3e-08 2.2e-03 8.9e-07 9.99e-01 1.664220123e+02 1.664220447e+02 7.8e-12 3.00
96 1.2e-08 2.0e-03 8.0e-07 9.80e-01 1.664220145e+02 1.664220436e+02 7.0e-12 3.03
97 1.1e-08 1.8e-03 7.2e-07 9.94e-01 1.664220164e+02 1.664220427e+02 6.3e-12 3.06
98 9.8e-09 1.6e-03 6.5e-07 1.03e+00 1.664220184e+02 1.664220417e+02 5.8e-12 3.08
99 8.9e-09 1.4e-03 5.8e-07 1.01e+00 1.664220200e+02 1.664220409e+02 5.2e-12 3.11
100 8.0e-09 1.3e-03 5.3e-07 9.74e-01 1.664220214e+02 1.664220402e+02 4.7e-12 3.14
101 7.2e-09 1.2e-03 4.7e-07 9.58e-01 1.664220227e+02 1.664220396e+02 4.2e-12 3.18
102 6.5e-09 1.0e-03 4.3e-07 9.47e-01 1.664220238e+02 1.664220391e+02 3.8e-12 3.20
103 5.9e-09 9.4e-04 3.8e-07 1.06e+00 1.664220251e+02 1.664220384e+02 3.5e-12 3.23
104 5.4e-09 8.4e-04 3.5e-07 9.54e-01 1.664220260e+02 1.664220380e+02 3.2e-12 3.27
105 5.0e-09 7.6e-04 3.1e-07 1.08e+00 1.664220271e+02 1.664220374e+02 3.0e-12 3.29
106 4.4e-09 6.8e-04 2.8e-07 1.17e+00 1.664220283e+02 1.664220367e+02 2.9e-12 3.32
107 3.7e-09 4.0e-05 1.6e-08 9.02e-01 1.664220338e+02 1.664220343e+02 2.9e-13 3.35
Interior-point optimizer terminated. Time: 3.36.
Optimizer terminated. Time: 3.39
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203382e+02 Viol. con: 8e-08 var: 0e+00
Dual. obj: 1.6642203434e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.41 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280480915e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258735656e+05 3.573328787e+00 4.8e-01 0.11
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197005160e+05 1.021705013e+01 1.9e-01 0.14
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.149813370e+05 6.382284509e+01 1.2e-01 0.16
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.123855391e+05 2.255173750e+03 1.2e-01 0.19
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.423599136e+04 9.613746054e+03 3.3e-02 0.22
6 3.0e+01 3.8e+01 1.6e+03 -1.92e-01 -4.018137143e+04 1.017431249e+04 1.3e-02 0.25
7 1.8e+01 2.3e+01 9.9e+02 3.96e-01 -2.694061410e+04 6.639025022e+03 7.9e-03 0.28
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.520627471e+04 3.808638599e+03 4.1e-03 0.31
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.318872968e+03 1.679781140e+03 1.4e-03 0.34
10 1.6e+00 2.0e+00 8.9e+01 9.54e-01 -2.417677613e+03 1.055153140e+03 7.1e-04 0.37
11 9.5e-01 1.2e+00 5.3e+01 9.86e-01 -1.370543264e+03 7.033840364e+02 4.2e-04 0.40
12 8.6e-01 1.1e+00 4.8e+01 9.64e-01 -1.258993014e+03 6.420997885e+02 3.8e-04 0.44
13 4.8e-01 6.1e-01 2.7e+01 9.77e-01 -6.393579432e+02 4.225783628e+02 2.1e-04 0.47
14 2.6e-01 3.4e-01 1.4e+01 1.00e+00 -2.623840453e+02 3.061906828e+02 1.2e-04 0.51
15 9.2e-02 1.5e-01 5.3e+00 1.00e+00 -2.393672620e+00 2.056343944e+02 4.3e-05 0.54
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.576542143e+01 2.083366688e+02 4.0e-05 0.58
17 6.0e-02 9.5e-02 3.4e+00 1.02e+00 6.107200879e+01 1.952043694e+02 2.8e-05 0.61
18 3.4e-02 7.3e-02 1.9e+00 1.02e+00 1.081917807e+02 1.827215626e+02 1.6e-05 0.64
19 9.3e-03 1.7e-01 5.4e-01 1.02e+00 1.512032077e+02 1.719127678e+02 4.3e-06 0.68
20 3.4e-03 2.1e-01 2.0e-01 1.01e+00 1.605107246e+02 1.682876200e+02 1.7e-06 0.71
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642779358e+02 1.671863616e+02 6.2e-07 0.74
22 8.5e-04 1.0e-01 5.1e-02 9.84e-01 1.649813572e+02 1.669397465e+02 4.2e-07 0.78
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659710771e+02 1.665859668e+02 1.3e-07 0.81
24 9.4e-05 1.0e-01 6.0e-03 1.01e+00 1.662464757e+02 1.664756796e+02 5.1e-08 0.84
25 3.7e-05 9.6e-02 2.4e-03 1.01e+00 1.663445760e+02 1.664349666e+02 2.0e-08 0.87
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663787298e+02 1.664206000e+02 9.5e-09 0.91
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663822230e+02 1.664199216e+02 8.5e-09 0.93
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663847896e+02 1.664187111e+02 7.7e-09 0.96
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663871433e+02 1.664176672e+02 6.9e-09 1.00
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663892515e+02 1.664167187e+02 6.2e-09 1.03
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663911474e+02 1.664158643e+02 5.6e-09 1.07
32 9.0e-06 4.7e-02 5.9e-04 1.00e+00 1.663928515e+02 1.664150938e+02 5.0e-09 1.10
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663943834e+02 1.664143991e+02 4.5e-09 1.13
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663957607e+02 1.664137729e+02 4.1e-09 1.16
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969990e+02 1.664132084e+02 3.7e-09 1.19
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663981124e+02 1.664126996e+02 3.3e-09 1.23
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663991137e+02 1.664122411e+02 3.0e-09 1.25
38 4.8e-06 2.9e-02 3.1e-04 1.00e+00 1.664000140e+02 1.664118279e+02 2.7e-09 1.28
39 4.3e-06 2.7e-02 2.8e-04 1.00e+00 1.664008237e+02 1.664114555e+02 2.4e-09 1.31
40 3.9e-06 2.5e-02 2.5e-04 1.00e+00 1.664015519e+02 1.664111199e+02 2.2e-09 1.34
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664022067e+02 1.664108175e+02 2.0e-09 1.37
42 3.1e-06 2.1e-02 2.1e-04 1.00e+00 1.664027956e+02 1.664105450e+02 1.8e-09 1.41
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664033253e+02 1.664102994e+02 1.6e-09 1.44
44 2.5e-06 1.9e-02 1.7e-04 1.00e+00 1.664038017e+02 1.664100781e+02 1.4e-09 1.48
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042302e+02 1.664098788e+02 1.3e-09 1.51
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664046157e+02 1.664096993e+02 1.2e-09 1.54
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049626e+02 1.664095377e+02 1.0e-09 1.57
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052746e+02 1.664093921e+02 9.3e-10 1.60
49 1.5e-06 1.4e-02 9.8e-05 1.00e+00 1.664055553e+02 1.664092610e+02 8.4e-10 1.64
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664058079e+02 1.664091430e+02 7.6e-10 1.67
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060352e+02 1.664090367e+02 6.8e-10 1.71
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062396e+02 1.664089410e+02 6.1e-10 1.74
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064236e+02 1.664088548e+02 5.5e-10 1.78
54 8.9e-07 1.2e-02 5.8e-05 1.00e+00 1.664065891e+02 1.664087772e+02 5.0e-10 1.81
55 8.0e-07 1.1e-02 5.2e-05 1.00e+00 1.664067380e+02 1.664087073e+02 4.5e-10 1.85
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068719e+02 1.664086443e+02 4.0e-10 1.88
57 6.5e-07 1.0e-02 4.2e-05 1.00e+00 1.664069925e+02 1.664085876e+02 3.6e-10 1.91
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664071009e+02 1.664085365e+02 3.3e-10 1.95
59 5.2e-07 9.9e-03 3.4e-05 1.00e+00 1.664071984e+02 1.664084904e+02 2.9e-10 1.98
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072861e+02 1.664084490e+02 2.6e-10 2.01
61 4.2e-07 9.5e-03 2.8e-05 1.00e+00 1.664073650e+02 1.664084116e+02 2.4e-10 2.05
62 3.8e-07 9.3e-03 2.5e-05 9.99e-01 1.664074360e+02 1.664083780e+02 2.1e-10 2.08
63 3.4e-07 9.1e-03 2.3e-05 1.00e+00 1.664074999e+02 1.664083476e+02 1.9e-10 2.11
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075573e+02 1.664083203e+02 1.7e-10 2.14
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076090e+02 1.664082957e+02 1.6e-10 2.18
66 2.5e-07 8.7e-03 1.6e-05 9.98e-01 1.664076555e+02 1.664082736e+02 1.4e-10 2.21
67 2.3e-07 8.6e-03 1.5e-05 9.99e-01 1.664076973e+02 1.664082536e+02 1.3e-10 2.24
68 2.0e-07 8.5e-03 1.3e-05 1.00e+00 1.664077350e+02 1.664082356e+02 1.1e-10 2.28
69 1.8e-07 8.4e-03 1.2e-05 9.99e-01 1.664077688e+02 1.664082195e+02 1.0e-10 2.31
70 1.6e-07 8.3e-03 1.1e-05 1.00e+00 1.664077993e+02 1.664082049e+02 9.2e-11 2.35
71 1.5e-07 8.2e-03 9.7e-06 1.00e+00 1.664078268e+02 1.664081917e+02 8.3e-11 2.38
72 1.3e-07 8.2e-03 8.7e-06 1.00e+00 1.664078514e+02 1.664081799e+02 7.5e-11 2.41
73 1.2e-07 8.1e-03 7.9e-06 1.00e+00 1.664078737e+02 1.664081693e+02 6.7e-11 2.45
74 1.1e-07 8.0e-03 7.1e-06 9.97e-01 1.664078936e+02 1.664081597e+02 6.0e-11 2.48
75 9.7e-08 8.0e-03 6.4e-06 9.99e-01 1.664079116e+02 1.664081511e+02 5.4e-11 2.51
76 8.7e-08 7.9e-03 5.7e-06 1.00e+00 1.664079278e+02 1.664081434e+02 4.9e-11 2.55
77 7.9e-08 7.9e-03 5.2e-06 1.00e+00 1.664079424e+02 1.664081364e+02 4.4e-11 2.58
78 7.1e-08 7.1e-03 4.6e-06 1.01e+00 1.664079558e+02 1.664081299e+02 4.0e-11 2.60
79 6.4e-08 6.4e-03 4.2e-06 9.96e-01 1.664079676e+02 1.664081243e+02 3.6e-11 2.63
80 5.7e-08 5.7e-03 3.8e-06 9.97e-01 1.664079782e+02 1.664081192e+02 3.2e-11 2.66
81 5.2e-08 5.2e-03 3.4e-06 9.88e-01 1.664079877e+02 1.664081147e+02 2.9e-11 2.69
82 4.6e-08 4.7e-03 3.0e-06 1.01e+00 1.664079964e+02 1.664081105e+02 2.6e-11 2.72
83 4.2e-08 4.2e-03 2.7e-06 1.01e+00 1.664080043e+02 1.664081066e+02 2.4e-11 2.76
84 3.8e-08 3.8e-03 2.5e-06 9.98e-01 1.664080112e+02 1.664081033e+02 2.1e-11 2.78
85 3.4e-08 3.4e-03 2.2e-06 9.95e-01 1.664080174e+02 1.664081004e+02 1.9e-11 2.81
86 3.0e-08 3.1e-03 2.0e-06 1.01e+00 1.664080233e+02 1.664080975e+02 1.7e-11 2.84
87 2.7e-08 2.7e-03 1.8e-06 9.79e-01 1.664080283e+02 1.664080951e+02 1.6e-11 2.86
88 2.5e-08 2.5e-03 1.6e-06 9.70e-01 1.664080328e+02 1.664080930e+02 1.4e-11 2.90
89 2.2e-08 2.2e-03 1.5e-06 1.02e+00 1.664080371e+02 1.664080909e+02 1.3e-11 2.93
90 2.0e-08 2.0e-03 1.3e-06 9.94e-01 1.664080407e+02 1.664080892e+02 1.1e-11 2.96
91 1.8e-08 1.8e-03 1.2e-06 9.83e-01 1.664080440e+02 1.664080876e+02 1.0e-11 2.99
92 1.6e-08 1.6e-03 1.1e-06 1.01e+00 1.664080470e+02 1.664080862e+02 9.3e-12 3.02
93 1.5e-08 1.5e-03 9.6e-07 1.01e+00 1.664080497e+02 1.664080849e+02 8.4e-12 3.05
94 1.3e-08 1.3e-03 8.6e-07 1.02e+00 1.664080523e+02 1.664080836e+02 7.6e-12 3.09
95 1.2e-08 1.2e-03 7.7e-07 1.01e+00 1.664080545e+02 1.664080825e+02 6.9e-12 3.11
96 1.1e-08 1.1e-03 7.0e-07 9.84e-01 1.664080564e+02 1.664080816e+02 6.2e-12 3.15
97 9.6e-09 9.6e-04 6.3e-07 1.01e+00 1.664080581e+02 1.664080808e+02 5.6e-12 3.18
98 8.6e-09 8.6e-04 5.6e-07 9.52e-01 1.664080597e+02 1.664080801e+02 5.0e-12 3.21
99 7.8e-09 7.8e-04 5.1e-07 9.81e-01 1.664080610e+02 1.664080794e+02 4.5e-12 3.24
100 7.0e-09 7.0e-04 4.6e-07 9.53e-01 1.664080623e+02 1.664080788e+02 4.1e-12 3.27
101 6.3e-09 6.3e-04 4.1e-07 8.86e-01 1.664080633e+02 1.664080784e+02 3.7e-12 3.30
102 5.7e-09 5.7e-04 3.7e-07 1.03e+00 1.664080645e+02 1.664080778e+02 3.4e-12 3.33
103 5.1e-09 5.1e-04 3.3e-07 8.32e-01 1.664080654e+02 1.664080774e+02 3.0e-12 3.36
104 4.6e-09 4.6e-04 3.0e-07 9.84e-01 1.664080662e+02 1.664080770e+02 2.7e-12 3.39
105 4.2e-09 4.1e-04 2.7e-07 9.90e-01 1.664080669e+02 1.664080766e+02 2.4e-12 3.41
106 3.8e-09 3.7e-04 2.4e-07 1.05e+00 1.664080677e+02 1.664080762e+02 2.3e-12 3.44
107 3.6e-09 3.3e-04 2.2e-07 9.07e-01 1.664080683e+02 1.664080760e+02 2.0e-12 3.47
108 3.2e-09 3.0e-04 2.0e-07 9.90e-01 1.664080688e+02 1.664080757e+02 1.8e-12 3.49
109 2.9e-09 2.7e-04 1.8e-07 9.58e-01 1.664080692e+02 1.664080755e+02 1.6e-12 3.52
110 2.7e-09 2.4e-04 1.6e-07 9.23e-01 1.664080696e+02 1.664080753e+02 1.5e-12 3.55
111 2.4e-09 2.2e-04 1.4e-07 1.03e+00 1.664080701e+02 1.664080751e+02 1.4e-12 3.58
112 2.2e-09 2.0e-04 1.3e-07 9.78e-01 1.664080704e+02 1.664080749e+02 1.2e-12 3.61
113 2.0e-09 1.8e-04 1.2e-07 9.02e-01 1.664080707e+02 1.664080748e+02 1.1e-12 3.64
114 2.2e-09 1.6e-04 1.0e-07 1.09e+00 1.664080711e+02 1.664080746e+02 1.0e-12 3.66
115 2.1e-09 1.4e-04 9.4e-08 1.01e+00 1.664080713e+02 1.664080744e+02 9.3e-13 3.69
Interior-point optimizer terminated. Time: 3.69.
Optimizer terminated. Time: 3.72
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807132e+02 Viol. con: 4e-08 var: 0e+00
Dual. obj: 1.6640807444e+02 Viol. con: 0e+00 var: 9e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.73 seconds.
Solving took 9 GP solves and 42.7 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: 1.4957405286117446e+110 vs 1.4957029496e+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: 3.705368396455296e+72 vs 3.70524866446e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682238]
Total Aircraft Weight Percent Diff: [-21.48055417]
Engine Weight Percent Diff: -56.27815139041237
Fuselage Weight Percent Diff: -0.8697064521272014
Payload Weight Percent Diff: [-0.04003553]
VT Weight Percent Diff: -8.607423638511301
HT Weight Percent Diff: -93.23320695839854
Wing Weight Percent Diff: 8.267388663063928
WING DIFFERENCES
Wing Span Percent Diff: -0.029997489729559686
Wing Area Percent Diff: 32.900388464802
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.4898491291841
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022310696932045
VT Area Percent Diff: -60.38680915820876
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54741738]
L/D Percent Diff: [24.01019308]
Nacelle Cd Percent Diff: [-94.27640933]
HT Cd Percent Diff: [-80.76933001] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00310764] dimensionless
Wing Cd percent Diff: [-14.22941136]
Induced Drag Cd Percent Diff: [1.21931809]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57036168]
FUSELAGE DIFFERENCES
Weight of HB material: -38.35916785434956
Weight of VB material: 87.82989587607356
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260524]