![[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-20190827163415)
Standard Output
Mission
=======
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission.Aircraft.Wing.WingBox.N_{lift} = 3
Mission.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:]/dum[:])^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}[:]/dum[:])^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 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
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 : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 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 : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+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 -1.286549258e+05 2.000000000e+00 1.0e+00 0.22
1 1.1e+03 1.5e+03 6.3e+04 -9.71e-01 -1.266024922e+05 3.598693670e+00 4.9e-01 0.26
2 4.2e+02 5.5e+02 2.4e+04 -9.38e-01 -1.201551142e+05 1.049723412e+01 1.8e-01 0.30
3 2.9e+02 3.7e+02 1.6e+04 -8.36e-01 -1.156934257e+05 6.529361624e+01 1.3e-01 0.33
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.132263681e+05 2.119352011e+03 1.3e-01 0.37
5 8.8e+01 1.2e+02 5.0e+03 -7.53e-01 -8.093604042e+04 8.548147696e+03 3.9e-02 0.40
6 3.7e+01 4.8e+01 2.1e+03 -2.92e-01 -4.777912696e+04 1.028826299e+04 1.6e-02 0.44
7 2.1e+01 2.8e+01 1.2e+03 2.57e-01 -3.169519463e+04 7.234712816e+03 9.5e-03 0.47
8 9.4e+00 1.2e+01 5.3e+02 5.39e-01 -1.514945135e+04 4.205067936e+03 4.2e-03 0.51
9 5.5e+00 7.2e+00 3.1e+02 8.14e-01 -8.814222119e+03 2.847748667e+03 2.5e-03 0.55
10 1.4e+00 1.8e+00 7.8e+01 9.08e-01 -2.053760908e+03 9.408839157e+02 6.1e-04 0.58
11 7.0e-01 9.2e-01 4.0e+01 9.94e-01 -8.378819341e+02 7.264710682e+02 3.2e-04 0.62
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.838983752e+02 5.661965124e+02 2.2e-04 0.65
13 3.6e-01 7.9e-01 2.1e+01 9.79e-01 -3.176267395e+02 4.899351444e+02 1.6e-04 0.68
14 1.7e-01 3.8e-01 9.9e+00 9.96e-01 -1.967388642e+01 3.675580758e+02 7.9e-05 0.71
15 5.5e-02 1.6e-01 3.3e+00 9.95e-01 1.620939163e+02 2.906286565e+02 2.7e-05 0.74
16 3.2e-02 1.4e-01 1.9e+00 1.00e+00 1.996499288e+02 2.749097542e+02 1.6e-05 0.78
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.445324462e+02 2.572720737e+02 2.8e-06 0.81
18 1.5e-03 1.3e-01 9.7e-02 1.00e+00 2.509417918e+02 2.547011544e+02 8.3e-07 0.84
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527811526e+02 2.540259852e+02 2.8e-07 0.88
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532872695e+02 2.538371102e+02 1.2e-07 0.91
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533284787e+02 2.538233497e+02 1.1e-07 0.94
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533644277e+02 2.538097870e+02 1.0e-07 0.97
23 1.5e-04 6.5e-02 1.0e-02 1.00e+00 2.533968242e+02 2.537976313e+02 9.0e-08 1.00
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534259549e+02 2.537866675e+02 8.1e-08 1.03
25 1.2e-04 5.4e-02 8.4e-03 1.00e+00 2.534521541e+02 2.537767839e+02 7.3e-08 1.07
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534757162e+02 2.537678733e+02 6.6e-08 1.10
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534969087e+02 2.537598421e+02 5.9e-08 1.13
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535159710e+02 2.537526045e+02 5.3e-08 1.16
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535331180e+02 2.537460828e+02 4.8e-08 1.19
30 7.4e-05 3.5e-02 4.9e-03 1.00e+00 2.535485429e+02 2.537402069e+02 4.3e-08 1.22
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535624191e+02 2.537349132e+02 3.9e-08 1.26
32 6.0e-05 3.0e-02 4.0e-03 1.00e+00 2.535749025e+02 2.537301444e+02 3.5e-08 1.29
33 5.4e-05 2.7e-02 3.6e-03 1.00e+00 2.535861332e+02 2.537258487e+02 3.1e-08 1.31
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535962370e+02 2.537219792e+02 2.8e-08 1.35
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536053274e+02 2.537184940e+02 2.5e-08 1.37
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536135060e+02 2.537153548e+02 2.3e-08 1.40
37 3.5e-05 2.1e-02 2.4e-03 1.00e+00 2.536208644e+02 2.537125276e+02 2.1e-08 1.43
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536274851e+02 2.537099813e+02 1.9e-08 1.47
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536334421e+02 2.537076882e+02 1.7e-08 1.50
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536388020e+02 2.537056231e+02 1.5e-08 1.53
41 2.3e-05 1.6e-02 1.6e-03 1.00e+00 2.536436247e+02 2.537037635e+02 1.4e-08 1.57
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536479643e+02 2.537020890e+02 1.2e-08 1.59
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536518690e+02 2.537005811e+02 1.1e-08 1.63
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536553826e+02 2.536992235e+02 9.9e-09 1.66
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536585443e+02 2.536980010e+02 8.9e-09 1.69
46 1.4e-05 1.3e-02 9.2e-04 1.00e+00 2.536613894e+02 2.536969005e+02 8.0e-09 1.72
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536639497e+02 2.536959096e+02 7.2e-09 1.75
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536662536e+02 2.536950175e+02 6.5e-09 1.78
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536683269e+02 2.536942144e+02 5.8e-09 1.81
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536701927e+02 2.536934915e+02 5.2e-09 1.85
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536718717e+02 2.536928407e+02 4.7e-09 1.88
52 7.2e-06 1.0e-02 4.9e-04 1.00e+00 2.536733827e+02 2.536922548e+02 4.2e-09 1.91
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536747425e+02 2.536917274e+02 3.8e-09 1.94
54 5.9e-06 9.7e-03 3.9e-04 1.00e+00 2.536759662e+02 2.536912527e+02 3.4e-09 1.97
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770675e+02 2.536908254e+02 3.1e-09 1.99
56 4.8e-06 9.2e-03 3.2e-04 1.00e+00 2.536780586e+02 2.536904407e+02 2.8e-09 2.03
57 4.3e-06 9.1e-03 2.9e-04 1.00e+00 2.536789505e+02 2.536900944e+02 2.5e-09 2.06
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797532e+02 2.536897827e+02 2.3e-09 2.09
59 3.5e-06 8.7e-03 2.3e-04 1.00e+00 2.536804755e+02 2.536895021e+02 2.0e-09 2.12
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811256e+02 2.536892496e+02 1.8e-09 2.15
61 1.2e-06 3.4e-03 8.2e-05 1.00e+00 2.536846947e+02 2.536878615e+02 7.1e-10 2.18
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849233e+02 2.536877735e+02 6.4e-10 2.21
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862379e+02 2.536872619e+02 2.3e-10 2.24
64 3.5e-07 9.8e-04 2.4e-05 1.00e+00 2.536863117e+02 2.536872332e+02 2.1e-10 2.28
65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863780e+02 2.536872074e+02 1.9e-10 2.31
66 2.9e-07 7.9e-04 1.9e-05 1.00e+00 2.536864377e+02 2.536871841e+02 1.7e-10 2.34
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864914e+02 2.536871632e+02 1.5e-10 2.37
68 2.3e-07 6.4e-04 1.6e-05 1.00e+00 2.536865397e+02 2.536871444e+02 1.4e-10 2.40
69 2.1e-07 5.8e-04 1.4e-05 1.00e+00 2.536865832e+02 2.536871274e+02 1.2e-10 2.43
70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866224e+02 2.536871121e+02 1.1e-10 2.46
71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866576e+02 2.536870984e+02 9.9e-11 2.49
72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866893e+02 2.536870860e+02 8.9e-11 2.52
73 1.4e-07 3.8e-04 9.2e-06 1.00e+00 2.536867179e+02 2.536870749e+02 8.0e-11 2.56
74 1.2e-07 3.4e-04 8.3e-06 1.00e+00 2.536867436e+02 2.536870649e+02 7.2e-11 2.59
75 1.1e-07 3.1e-04 7.5e-06 1.00e+00 2.536867667e+02 2.536870559e+02 6.5e-11 2.62
76 1.0e-07 2.8e-04 6.7e-06 1.00e+00 2.536867875e+02 2.536870478e+02 5.9e-11 2.65
77 9.0e-08 2.5e-04 6.0e-06 1.00e+00 2.536868062e+02 2.536870405e+02 5.3e-11 2.68
78 8.1e-08 2.2e-04 5.4e-06 1.00e+00 2.536868231e+02 2.536870339e+02 4.7e-11 2.71
79 7.3e-08 2.0e-04 4.9e-06 1.00e+00 2.536868382e+02 2.536870280e+02 4.3e-11 2.74
80 6.5e-08 1.8e-04 4.4e-06 1.00e+00 2.536868519e+02 2.536870226e+02 3.8e-11 2.76
81 5.9e-08 1.6e-04 4.0e-06 1.00e+00 2.536868641e+02 2.536870178e+02 3.5e-11 2.79
82 5.3e-08 1.5e-04 3.6e-06 1.00e+00 2.536868752e+02 2.536870135e+02 3.1e-11 2.82
83 4.8e-08 1.3e-04 3.2e-06 9.99e-01 2.536868851e+02 2.536870096e+02 2.8e-11 2.86
84 4.3e-08 1.2e-04 2.9e-06 1.00e+00 2.536868941e+02 2.536870061e+02 2.5e-11 2.89
85 3.9e-08 1.1e-04 2.6e-06 1.00e+00 2.536869022e+02 2.536870030e+02 2.3e-11 2.92
86 3.5e-08 9.6e-05 2.3e-06 1.00e+00 2.536869094e+02 2.536870002e+02 2.0e-11 2.94
87 3.1e-08 8.6e-05 2.1e-06 1.00e+00 2.536869159e+02 2.536869976e+02 1.8e-11 2.97
88 2.8e-08 7.8e-05 1.9e-06 1.00e+00 2.536869218e+02 2.536869953e+02 1.7e-11 3.00
89 2.5e-08 7.0e-05 1.7e-06 1.00e+00 2.536869271e+02 2.536869933e+02 1.5e-11 3.03
90 2.3e-08 6.3e-05 1.5e-06 1.00e+00 2.536869318e+02 2.536869914e+02 1.3e-11 3.07
91 2.1e-08 5.7e-05 1.4e-06 9.99e-01 2.536869361e+02 2.536869897e+02 1.2e-11 3.10
92 1.8e-08 5.1e-05 1.2e-06 1.00e+00 2.536869400e+02 2.536869882e+02 1.1e-11 3.13
93 1.7e-08 4.6e-05 1.1e-06 9.99e-01 2.536869434e+02 2.536869869e+02 9.8e-12 3.16
94 1.5e-08 4.1e-05 1.0e-06 9.99e-01 2.536869466e+02 2.536869856e+02 8.8e-12 3.19
95 1.3e-08 3.7e-05 9.1e-07 1.00e+00 2.536869494e+02 2.536869845e+02 7.9e-12 3.22
96 1.2e-08 3.3e-05 8.2e-07 1.00e+00 2.536869519e+02 2.536869836e+02 7.1e-12 3.25
97 1.1e-08 3.0e-05 7.3e-07 9.99e-01 2.536869542e+02 2.536869827e+02 6.4e-12 3.28
98 9.8e-09 2.7e-05 6.6e-07 9.98e-01 2.536869562e+02 2.536869819e+02 5.8e-12 3.31
Interior-point optimizer terminated. Time: 3.32.
Optimizer terminated. Time: 3.35
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695622e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698186e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.37 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
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 : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3454 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.07 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+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 -1.287360498e+05 2.000000000e+00 1.0e+00 0.10
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265110231e+05 3.765083271e+00 4.7e-01 0.13
2 4.6e+02 6.0e+02 2.6e+04 -9.35e-01 -1.210809027e+05 9.892075703e+00 2.0e-01 0.16
3 2.9e+02 3.8e+02 1.6e+04 -8.49e-01 -1.159070553e+05 5.291029286e+01 1.3e-01 0.20
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.137407596e+05 1.901983808e+03 1.3e-01 0.23
5 8.2e+01 1.1e+02 4.6e+03 -7.57e-01 -7.821511987e+04 9.193951107e+03 3.6e-02 0.27
6 3.6e+01 4.7e+01 2.0e+03 -2.50e-01 -4.672141044e+04 1.020378756e+04 1.6e-02 0.29
7 1.8e+01 2.4e+01 1.0e+03 2.80e-01 -2.779391370e+04 6.414826600e+03 8.1e-03 0.33
8 9.2e+00 1.2e+01 5.2e+02 6.08e-01 -1.476472236e+04 4.041024116e+03 4.1e-03 0.36
9 5.6e+00 7.3e+00 3.2e+02 8.20e-01 -9.111224322e+03 2.774448736e+03 2.5e-03 0.39
10 2.0e+00 2.6e+00 1.1e+02 9.05e-01 -3.122705141e+03 1.195419961e+03 8.8e-04 0.42
11 1.6e+00 2.1e+00 9.1e+01 9.74e-01 -2.491814038e+03 1.045767852e+03 7.2e-04 0.46
12 9.0e-01 1.3e+00 5.1e+01 9.76e-01 -1.305224198e+03 6.750623058e+02 4.0e-04 0.49
13 4.7e-01 7.3e-01 2.7e+01 9.85e-01 -5.931153544e+02 4.528538054e+02 2.1e-04 0.52
14 2.3e-01 3.6e-01 1.3e+01 9.97e-01 -2.041455854e+02 3.185247235e+02 1.1e-04 0.56
15 1.0e-01 1.7e-01 5.9e+00 1.00e+00 6.363135039e+00 2.384155262e+02 4.8e-05 0.59
16 5.4e-02 1.1e-01 3.1e+00 1.00e+00 8.470040374e+01 2.067535684e+02 2.5e-05 0.62
17 1.1e-02 1.5e-01 7.0e-01 1.00e+00 1.527923570e+02 1.799084459e+02 5.8e-06 0.65
18 6.2e-03 1.0e-01 3.8e-01 1.01e+00 1.616036193e+02 1.764886362e+02 3.2e-06 0.68
19 1.8e-03 1.1e-01 1.2e-01 1.01e+00 1.691302021e+02 1.736215396e+02 9.8e-07 0.72
20 4.9e-04 1.2e-01 3.2e-02 1.01e+00 1.715040314e+02 1.727335439e+02 2.7e-07 0.74
21 1.7e-04 1.0e-01 1.1e-02 1.00e+00 1.720902965e+02 1.725234541e+02 9.7e-08 0.78
22 1.4e-04 8.6e-02 9.1e-03 1.00e+00 1.721496464e+02 1.724997935e+02 7.9e-08 0.81
23 6.4e-05 7.6e-02 4.2e-03 1.00e+00 1.722876612e+02 1.724485688e+02 3.6e-08 0.84
24 5.7e-05 6.9e-02 3.8e-03 1.00e+00 1.723003973e+02 1.724452281e+02 3.3e-08 0.87
25 5.2e-05 6.3e-02 3.4e-03 1.00e+00 1.723108298e+02 1.724411723e+02 2.9e-08 0.90
26 4.6e-05 5.8e-02 3.0e-03 1.00e+00 1.723202759e+02 1.724375804e+02 2.6e-08 0.93
27 4.2e-05 5.3e-02 2.7e-03 1.00e+00 1.723287548e+02 1.724343257e+02 2.4e-08 0.97
28 3.8e-05 4.8e-02 2.5e-03 1.00e+00 1.723363728e+02 1.724313839e+02 2.1e-08 1.00
29 3.4e-05 4.4e-02 2.2e-03 1.00e+00 1.723432186e+02 1.724287263e+02 1.9e-08 1.02
30 3.0e-05 4.1e-02 2.0e-03 1.00e+00 1.723493709e+02 1.724263259e+02 1.7e-08 1.05
31 2.7e-05 3.7e-02 1.8e-03 1.00e+00 1.723549007e+02 1.724241586e+02 1.6e-08 1.08
32 2.5e-05 3.4e-02 1.6e-03 1.00e+00 1.723598716e+02 1.724222024e+02 1.4e-08 1.12
33 2.2e-05 3.2e-02 1.5e-03 1.00e+00 1.723643406e+02 1.724204372e+02 1.3e-08 1.15
34 2.0e-05 2.9e-02 1.3e-03 1.00e+00 1.723683586e+02 1.724188447e+02 1.1e-08 1.18
35 1.8e-05 2.7e-02 1.2e-03 1.00e+00 1.723719716e+02 1.724174084e+02 1.0e-08 1.21
36 1.6e-05 2.5e-02 1.1e-03 1.00e+00 1.723752205e+02 1.724161131e+02 9.2e-09 1.24
37 1.5e-05 2.4e-02 9.6e-04 1.00e+00 1.723781423e+02 1.724149452e+02 8.3e-09 1.27
38 1.3e-05 2.2e-02 8.6e-04 1.00e+00 1.723807701e+02 1.724138923e+02 7.5e-09 1.31
39 1.2e-05 2.1e-02 7.7e-04 1.00e+00 1.723831335e+02 1.724129432e+02 6.7e-09 1.34
40 1.1e-05 1.9e-02 7.0e-04 1.00e+00 1.723852593e+02 1.724120878e+02 6.0e-09 1.37
41 9.6e-06 1.8e-02 6.3e-04 1.00e+00 1.723871714e+02 1.724113169e+02 5.4e-09 1.40
42 8.6e-06 1.7e-02 5.6e-04 1.00e+00 1.723888913e+02 1.724106221e+02 4.9e-09 1.42
43 7.7e-06 1.6e-02 5.1e-04 1.00e+00 1.723904385e+02 1.724099962e+02 4.4e-09 1.46
44 7.0e-06 1.5e-02 4.6e-04 1.00e+00 1.723918304e+02 1.724094322e+02 4.0e-09 1.49
45 6.3e-06 1.5e-02 4.1e-04 1.00e+00 1.723930825e+02 1.724089241e+02 3.6e-09 1.52
46 5.6e-06 1.4e-02 3.7e-04 1.00e+00 1.723942090e+02 1.724084664e+02 3.2e-09 1.54
47 5.1e-06 1.3e-02 3.3e-04 1.00e+00 1.723952225e+02 1.724080541e+02 2.9e-09 1.59
48 4.6e-06 1.3e-02 3.0e-04 1.00e+00 1.723961343e+02 1.724076827e+02 2.6e-09 1.62
49 4.1e-06 1.2e-02 2.7e-04 1.00e+00 1.723969546e+02 1.724073483e+02 2.3e-09 1.66
50 3.7e-06 1.2e-02 2.4e-04 1.00e+00 1.723976927e+02 1.724070470e+02 2.1e-09 1.69
51 3.3e-06 1.1e-02 2.2e-04 1.00e+00 1.723983568e+02 1.724067757e+02 1.9e-09 1.73
52 3.0e-06 1.1e-02 2.0e-04 1.00e+00 1.723989544e+02 1.724065315e+02 1.7e-09 1.76
53 2.7e-06 1.1e-02 1.8e-04 1.00e+00 1.723994920e+02 1.724063114e+02 1.5e-09 1.80
54 2.4e-06 1.0e-02 1.6e-04 1.00e+00 1.723999758e+02 1.724061133e+02 1.4e-09 1.83
55 2.2e-06 1.0e-02 1.4e-04 1.00e+00 1.724004112e+02 1.724059349e+02 1.2e-09 1.86
56 2.0e-06 9.8e-03 1.3e-04 1.00e+00 1.724008029e+02 1.724057743e+02 1.1e-09 1.88
57 1.8e-06 9.6e-03 1.2e-04 1.00e+00 1.724011553e+02 1.724056296e+02 1.0e-09 1.91
58 1.6e-06 9.4e-03 1.0e-04 1.00e+00 1.724014725e+02 1.724054994e+02 9.1e-10 1.94
59 1.4e-06 9.2e-03 9.4e-05 1.00e+00 1.724017579e+02 1.724053821e+02 8.2e-10 1.97
60 1.3e-06 9.0e-03 8.5e-05 1.00e+00 1.724020147e+02 1.724052765e+02 7.3e-10 2.00
61 1.2e-06 8.9e-03 7.6e-05 1.00e+00 1.724022458e+02 1.724051814e+02 6.6e-10 2.04
62 1.0e-06 8.8e-03 6.9e-05 1.00e+00 1.724024538e+02 1.724050958e+02 5.9e-10 2.08
63 9.4e-07 8.6e-03 6.2e-05 1.00e+00 1.724026409e+02 1.724050188e+02 5.4e-10 2.12
64 8.5e-07 8.5e-03 5.6e-05 1.00e+00 1.724028093e+02 1.724049494e+02 4.8e-10 2.14
65 7.6e-07 8.4e-03 5.0e-05 1.00e+00 1.724029609e+02 1.724048869e+02 4.3e-10 2.18
66 6.9e-07 8.3e-03 4.5e-05 1.00e+00 1.724030972e+02 1.724048306e+02 3.9e-10 2.21
67 6.2e-07 8.2e-03 4.1e-05 1.00e+00 1.724032199e+02 1.724047800e+02 3.5e-10 2.24
68 5.6e-07 8.2e-03 3.6e-05 1.00e+00 1.724033304e+02 1.724047344e+02 3.2e-10 2.26
69 5.0e-07 8.1e-03 3.3e-05 1.00e+00 1.724034297e+02 1.724046934e+02 2.8e-10 2.29
70 4.5e-07 8.0e-03 3.0e-05 1.00e+00 1.724035191e+02 1.724046565e+02 2.6e-10 2.32
71 4.1e-07 8.0e-03 2.7e-05 1.00e+00 1.724035996e+02 1.724046232e+02 2.3e-10 2.35
72 3.6e-07 7.9e-03 2.4e-05 9.98e-01 1.724036720e+02 1.724045933e+02 2.1e-10 2.39
73 3.3e-07 7.9e-03 2.2e-05 1.00e+00 1.724037372e+02 1.724045663e+02 1.9e-10 2.42
74 3.0e-07 7.8e-03 1.9e-05 1.00e+00 1.724037958e+02 1.724045420e+02 1.7e-10 2.45
75 2.7e-07 7.8e-03 1.7e-05 1.00e+00 1.724038486e+02 1.724045202e+02 1.5e-10 2.48
76 2.4e-07 7.7e-03 1.6e-05 1.00e+00 1.724038960e+02 1.724045005e+02 1.4e-10 2.50
77 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.724039388e+02 1.724044828e+02 1.2e-10 2.53
78 1.9e-07 7.7e-03 1.3e-05 1.00e+00 1.724039772e+02 1.724044668e+02 1.1e-10 2.56
79 1.7e-07 7.6e-03 1.1e-05 9.98e-01 1.724040118e+02 1.724044525e+02 9.9e-11 2.60
80 1.6e-07 7.6e-03 1.0e-05 9.99e-01 1.724040430e+02 1.724044396e+02 8.9e-11 2.64
81 1.4e-07 7.6e-03 9.3e-06 1.00e+00 1.724040710e+02 1.724044280e+02 8.0e-11 2.67
82 1.3e-07 7.5e-03 8.3e-06 1.00e+00 1.724040962e+02 1.724044175e+02 7.2e-11 2.70
83 1.1e-07 7.5e-03 7.5e-06 9.98e-01 1.724041189e+02 1.724044081e+02 6.5e-11 2.74
84 1.0e-07 7.5e-03 6.8e-06 1.00e+00 1.724041393e+02 1.724043996e+02 5.9e-11 2.78
85 9.3e-08 7.5e-03 6.1e-06 9.96e-01 1.724041577e+02 1.724043920e+02 5.3e-11 2.80
86 8.3e-08 7.4e-03 5.5e-06 1.00e+00 1.724041742e+02 1.724043851e+02 4.7e-11 2.84
87 7.5e-08 7.4e-03 4.9e-06 9.98e-01 1.724041891e+02 1.724043789e+02 4.3e-11 2.87
88 6.8e-08 7.4e-03 4.4e-06 9.98e-01 1.724042025e+02 1.724043733e+02 3.8e-11 2.90
89 6.1e-08 7.4e-03 4.0e-06 9.95e-01 1.724042145e+02 1.724043683e+02 3.5e-11 2.94
90 5.5e-08 7.4e-03 3.6e-06 9.98e-01 1.724042254e+02 1.724043638e+02 3.1e-11 2.97
91 4.9e-08 7.3e-03 3.2e-06 9.99e-01 1.724042352e+02 1.724043597e+02 2.8e-11 3.01
92 4.4e-08 7.3e-03 2.9e-06 9.96e-01 1.724042439e+02 1.724043561e+02 2.5e-11 3.04
93 4.0e-08 7.3e-03 2.6e-06 9.98e-01 1.724042518e+02 1.724043528e+02 2.3e-11 3.07
94 3.6e-08 7.3e-03 2.4e-06 9.98e-01 1.724042590e+02 1.724043498e+02 2.0e-11 3.10
95 3.2e-08 7.3e-03 2.1e-06 9.94e-01 1.724042654e+02 1.724043472e+02 1.8e-11 3.13
96 2.9e-08 7.3e-03 1.9e-06 9.92e-01 1.724042711e+02 1.724043448e+02 1.7e-11 3.17
97 2.6e-08 6.5e-03 1.7e-06 1.00e+00 1.724042763e+02 1.724043426e+02 1.5e-11 3.20
98 2.4e-08 5.9e-03 1.5e-06 9.90e-01 1.724042810e+02 1.724043406e+02 1.3e-11 3.23
99 2.1e-08 5.3e-03 1.4e-06 9.99e-01 1.724042852e+02 1.724043389e+02 1.2e-11 3.26
100 1.9e-08 4.8e-03 1.3e-06 1.01e+00 1.724042891e+02 1.724043372e+02 1.1e-11 3.29
101 4.9e-09 1.2e-03 3.2e-07 1.02e+00 1.724043143e+02 1.724043264e+02 2.8e-12 3.33
102 4.4e-09 1.1e-03 2.9e-07 1.03e+00 1.724043152e+02 1.724043260e+02 2.5e-12 3.36
103 1.0e-09 2.4e-04 6.3e-08 9.87e-01 1.724043213e+02 1.724043236e+02 5.6e-13 3.39
Interior-point optimizer terminated. Time: 3.39.
Optimizer terminated. Time: 3.42
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432129e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.7240432365e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.44 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
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 : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3454 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 : 1.50e+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 -1.289933607e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.2e+04 -9.71e-01 -1.268320467e+05 3.623041031e+00 4.8e-01 0.13
2 4.4e+02 5.7e+02 2.4e+04 -9.36e-01 -1.208314559e+05 1.006709397e+01 1.9e-01 0.17
3 2.9e+02 3.8e+02 1.6e+04 -8.42e-01 -1.161088715e+05 6.041764791e+01 1.3e-01 0.21
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.136047864e+05 2.178771466e+03 1.3e-01 0.24
5 8.0e+01 1.0e+02 4.5e+03 -7.55e-01 -7.726434818e+04 9.484464296e+03 3.5e-02 0.28
6 4.0e+01 5.2e+01 2.2e+03 -2.31e-01 -5.058299917e+04 1.013810833e+04 1.8e-02 0.31
7 3.0e+01 3.9e+01 1.7e+03 2.22e-01 -4.153554608e+04 8.375061085e+03 1.3e-02 0.35
8 1.8e+01 2.4e+01 1.0e+03 3.84e-01 -2.815880507e+04 5.382461846e+03 8.0e-03 0.38
9 7.8e+00 1.0e+01 4.4e+02 6.11e-01 -1.288942590e+04 3.138033110e+03 3.4e-03 0.42
10 4.0e+00 5.2e+00 2.2e+02 8.50e-01 -6.391129503e+03 2.123850783e+03 1.8e-03 0.45
11 2.3e+00 2.9e+00 1.3e+02 9.42e-01 -3.532004233e+03 1.326728722e+03 1.0e-03 0.49
12 9.5e-01 1.2e+00 5.3e+01 9.75e-01 -1.390758716e+03 6.696269493e+02 4.2e-04 0.52
13 8.0e-01 1.1e+00 4.5e+01 9.74e-01 -1.179922431e+03 5.959718832e+02 3.6e-04 0.56
14 7.0e-01 9.2e-01 4.0e+01 9.78e-01 -9.978566238e+02 5.542247250e+02 3.1e-04 0.60
15 2.2e-01 3.1e-01 1.3e+01 9.82e-01 -2.190756688e+02 2.844673182e+02 1.0e-04 0.63
16 1.4e-01 1.9e-01 7.8e+00 1.01e+00 -7.253634257e+01 2.329682252e+02 6.2e-05 0.67
17 8.0e-02 1.2e-01 4.6e+00 1.01e+00 2.160565271e+01 2.014339004e+02 3.7e-05 0.70
18 7.9e-02 1.2e-01 4.6e+00 1.02e+00 2.346913552e+01 2.015310607e+02 3.7e-05 0.73
19 6.4e-02 1.1e-01 3.7e+00 1.02e+00 5.595401948e+01 2.013751155e+02 3.0e-05 0.77
20 1.9e-02 9.8e-02 1.1e+00 1.01e+00 1.337576791e+02 1.766910056e+02 8.9e-06 0.80
21 5.6e-03 2.1e-01 3.4e-01 1.02e+00 1.576860839e+02 1.706495992e+02 2.7e-06 0.84
22 5.1e-03 2.1e-01 3.1e-01 9.94e-01 1.583968688e+02 1.701901360e+02 2.5e-06 0.88
23 3.4e-03 1.4e-01 2.0e-01 9.75e-01 1.613479917e+02 1.691353668e+02 1.6e-06 0.92
24 1.6e-03 8.5e-02 9.5e-02 9.88e-01 1.644232206e+02 1.680727661e+02 7.6e-07 0.95
25 9.0e-04 6.5e-02 5.5e-02 1.01e+00 1.655714153e+02 1.676851678e+02 4.4e-07 0.99
26 3.7e-04 7.8e-02 2.3e-02 1.01e+00 1.664714453e+02 1.673529422e+02 1.9e-07 1.02
27 1.7e-04 7.6e-02 1.1e-02 1.01e+00 1.668054745e+02 1.672191014e+02 8.8e-08 1.06
28 1.6e-04 7.0e-02 9.8e-03 1.01e+00 1.668393433e+02 1.672116993e+02 8.0e-08 1.09
29 1.4e-04 6.4e-02 8.8e-03 1.01e+00 1.668651845e+02 1.672001642e+02 7.2e-08 1.13
30 1.3e-04 5.8e-02 7.9e-03 1.01e+00 1.668888873e+02 1.671902914e+02 6.4e-08 1.16
31 1.1e-04 5.3e-02 7.1e-03 1.01e+00 1.669100422e+02 1.671812379e+02 5.8e-08 1.20
32 1.0e-04 4.9e-02 6.4e-03 1.01e+00 1.669290236e+02 1.671730429e+02 5.2e-08 1.23
33 9.2e-05 4.5e-02 5.8e-03 1.01e+00 1.669460442e+02 1.671656142e+02 4.7e-08 1.27
34 8.3e-05 4.1e-02 5.2e-03 1.01e+00 1.669613125e+02 1.671588861e+02 4.2e-08 1.30
35 7.5e-05 3.8e-02 4.7e-03 1.01e+00 1.669750110e+02 1.671527948e+02 3.8e-08 1.34
36 6.7e-05 3.5e-02 4.2e-03 1.01e+00 1.669873034e+02 1.671472822e+02 3.4e-08 1.38
37 6.0e-05 3.2e-02 3.8e-03 1.00e+00 1.669983357e+02 1.671422947e+02 3.1e-08 1.42
38 5.4e-05 3.0e-02 3.4e-03 1.00e+00 1.670082386e+02 1.671377838e+02 2.8e-08 1.45
39 4.9e-05 2.7e-02 3.1e-03 1.00e+00 1.670171288e+02 1.671337049e+02 2.5e-08 1.49
40 4.4e-05 2.5e-02 2.8e-03 1.00e+00 1.670251111e+02 1.671300176e+02 2.3e-08 1.52
41 4.0e-05 2.4e-02 2.5e-03 1.00e+00 1.670322790e+02 1.671266851e+02 2.0e-08 1.56
42 3.6e-05 2.2e-02 2.2e-03 1.00e+00 1.670387164e+02 1.671236740e+02 1.8e-08 1.59
43 3.2e-05 2.1e-02 2.0e-03 1.00e+00 1.670444984e+02 1.671209537e+02 1.6e-08 1.63
44 2.9e-05 1.9e-02 1.8e-03 1.00e+00 1.670496922e+02 1.671184968e+02 1.5e-08 1.66
45 2.6e-05 1.8e-02 1.6e-03 1.00e+00 1.670543582e+02 1.671162782e+02 1.3e-08 1.70
46 2.3e-05 1.7e-02 1.5e-03 1.00e+00 1.670585505e+02 1.671142751e+02 1.2e-08 1.74
47 2.1e-05 1.6e-02 1.3e-03 1.00e+00 1.670623174e+02 1.671124667e+02 1.1e-08 1.77
48 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.670657025e+02 1.671108348e+02 9.7e-09 1.81
49 1.7e-05 1.5e-02 1.1e-03 1.00e+00 1.670687447e+02 1.671093620e+02 8.7e-09 1.84
50 1.5e-05 1.4e-02 9.6e-04 1.00e+00 1.670714791e+02 1.671080332e+02 7.9e-09 1.88
51 1.4e-05 1.3e-02 8.7e-04 1.00e+00 1.670739368e+02 1.671068344e+02 7.1e-09 1.91
52 1.2e-05 1.3e-02 7.8e-04 1.00e+00 1.670761462e+02 1.671057531e+02 6.4e-09 1.94
53 1.1e-05 1.2e-02 7.0e-04 1.00e+00 1.670781324e+02 1.671047779e+02 5.7e-09 1.98
54 1.0e-05 1.2e-02 6.3e-04 1.00e+00 1.670799182e+02 1.671038985e+02 5.2e-09 2.01
55 9.1e-06 1.2e-02 5.7e-04 1.00e+00 1.670815238e+02 1.671031057e+02 4.6e-09 2.05
56 8.2e-06 1.1e-02 5.1e-04 1.00e+00 1.670829676e+02 1.671023908e+02 4.2e-09 2.08
57 7.4e-06 1.1e-02 4.6e-04 1.00e+00 1.670842660e+02 1.671017465e+02 3.8e-09 2.12
58 6.6e-06 1.1e-02 4.2e-04 1.00e+00 1.670854336e+02 1.671011658e+02 3.4e-09 2.15
59 6.0e-06 1.0e-02 3.7e-04 1.00e+00 1.670864837e+02 1.671006425e+02 3.0e-09 2.18
60 5.4e-06 1.0e-02 3.4e-04 1.00e+00 1.670874282e+02 1.671001710e+02 2.7e-09 2.22
61 2.0e-06 3.9e-03 1.3e-04 1.00e+00 1.670926518e+02 1.670975342e+02 1.1e-09 2.26
62 8.3e-07 1.6e-03 5.2e-05 1.00e+00 1.670945859e+02 1.670965561e+02 4.2e-10 2.29
63 7.4e-07 1.4e-03 4.7e-05 1.00e+00 1.670947203e+02 1.670964936e+02 3.8e-10 2.33
64 4.5e-07 8.4e-04 2.8e-05 1.00e+00 1.670951858e+02 1.670962532e+02 2.3e-10 2.36
65 4.0e-07 7.6e-04 2.5e-05 1.00e+00 1.670952573e+02 1.670962179e+02 2.1e-10 2.39
66 3.6e-07 6.8e-04 2.3e-05 1.00e+00 1.670953207e+02 1.670961853e+02 1.9e-10 2.43
67 3.3e-07 6.1e-04 2.1e-05 1.00e+00 1.670953778e+02 1.670961559e+02 1.7e-10 2.47
68 2.9e-07 5.5e-04 1.8e-05 1.00e+00 1.670954291e+02 1.670961293e+02 1.5e-10 2.50
69 2.6e-07 5.0e-04 1.7e-05 1.00e+00 1.670954753e+02 1.670961054e+02 1.4e-10 2.53
70 2.4e-07 4.5e-04 1.5e-05 1.00e+00 1.670955168e+02 1.670960839e+02 1.2e-10 2.57
71 2.1e-07 4.0e-04 1.3e-05 9.99e-01 1.670955542e+02 1.670960646e+02 1.1e-10 2.60
72 1.9e-07 3.6e-04 1.2e-05 9.99e-01 1.670955878e+02 1.670960471e+02 9.9e-11 2.64
73 1.7e-07 3.3e-04 1.1e-05 1.00e+00 1.670956181e+02 1.670960314e+02 8.9e-11 2.67
74 1.6e-07 2.9e-04 9.8e-06 1.00e+00 1.670956453e+02 1.670960173e+02 8.0e-11 2.70
75 1.4e-07 2.6e-04 8.8e-06 1.00e+00 1.670956698e+02 1.670960046e+02 7.2e-11 2.74
76 1.3e-07 2.4e-04 8.0e-06 1.00e+00 1.670956918e+02 1.670959932e+02 6.5e-11 2.77
77 1.1e-07 2.1e-04 7.2e-06 1.00e+00 1.670957117e+02 1.670959829e+02 5.8e-11 2.81
78 1.0e-07 1.9e-04 6.4e-06 9.95e-01 1.670957295e+02 1.670959736e+02 5.3e-11 2.84
79 9.2e-08 1.7e-04 5.8e-06 1.00e+00 1.670957456e+02 1.670959653e+02 4.7e-11 2.88
80 8.3e-08 1.6e-04 5.2e-06 1.01e+00 1.670957604e+02 1.670959575e+02 4.3e-11 2.91
81 7.5e-08 1.4e-04 4.7e-06 1.01e+00 1.670957739e+02 1.670959505e+02 3.9e-11 2.95
82 6.7e-08 1.3e-04 4.2e-06 1.01e+00 1.670957858e+02 1.670959443e+02 3.5e-11 2.98
83 6.0e-08 1.1e-04 3.8e-06 1.01e+00 1.670957967e+02 1.670959385e+02 3.1e-11 3.01
84 5.4e-08 1.0e-04 3.4e-06 1.00e+00 1.670958061e+02 1.670959337e+02 2.8e-11 3.05
85 4.9e-08 9.2e-05 3.1e-06 1.00e+00 1.670958145e+02 1.670959293e+02 2.5e-11 3.08
86 4.4e-08 8.3e-05 2.8e-06 1.00e+00 1.670958220e+02 1.670959254e+02 2.3e-11 3.12
87 4.0e-08 7.5e-05 2.5e-06 9.92e-01 1.670958288e+02 1.670959219e+02 2.1e-11 3.15
88 3.6e-08 6.7e-05 2.2e-06 1.02e+00 1.670958356e+02 1.670959183e+02 1.9e-11 3.19
89 3.2e-08 6.1e-05 2.0e-06 9.84e-01 1.670958410e+02 1.670959156e+02 1.7e-11 3.22
90 2.9e-08 5.4e-05 1.8e-06 9.93e-01 1.670958460e+02 1.670959130e+02 1.5e-11 3.26
91 2.6e-08 4.9e-05 1.6e-06 1.01e+00 1.670958505e+02 1.670959107e+02 1.4e-11 3.29
92 2.3e-08 4.4e-05 1.5e-06 1.00e+00 1.670958545e+02 1.670959086e+02 1.2e-11 3.33
93 2.1e-08 4.0e-05 1.3e-06 1.03e+00 1.670958585e+02 1.670959065e+02 1.1e-11 3.36
94 1.9e-08 3.6e-05 1.2e-06 1.05e+00 1.670958624e+02 1.670959044e+02 1.0e-11 3.39
95 1.7e-08 3.2e-05 1.1e-06 9.86e-01 1.670958652e+02 1.670959030e+02 9.4e-12 3.43
96 1.5e-08 2.9e-05 9.7e-07 1.01e+00 1.670958678e+02 1.670959016e+02 8.5e-12 3.46
Interior-point optimizer terminated. Time: 3.47.
Optimizer terminated. Time: 3.51
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709586784e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709590157e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.53 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
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 : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3454 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 : 1.50e+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 -1.287223677e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.2e+04 -9.71e-01 -1.265745911e+05 3.573316439e+00 4.8e-01 0.13
2 4.3e+02 5.6e+02 2.4e+04 -9.37e-01 -1.205267191e+05 1.002379770e+01 1.9e-01 0.16
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.157999313e+05 6.118425810e+01 1.3e-01 0.19
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.131569296e+05 2.298810619e+03 1.3e-01 0.22
5 7.4e+01 9.6e+01 4.1e+03 -7.54e-01 -7.427211591e+04 1.000756510e+04 3.3e-02 0.25
6 3.6e+01 4.7e+01 2.0e+03 -1.87e-01 -4.714109823e+04 1.036925965e+04 1.6e-02 0.28
7 2.2e+01 2.9e+01 1.2e+03 2.79e-01 -3.264361903e+04 7.165740999e+03 9.8e-03 0.31
8 1.3e+01 1.7e+01 7.5e+02 5.38e-01 -2.123353101e+04 4.817603984e+03 5.9e-03 0.34
9 5.2e+00 6.8e+00 2.9e+02 7.25e-01 -8.609613979e+03 2.403602008e+03 2.3e-03 0.37
10 2.4e+00 3.1e+00 1.3e+02 9.15e-01 -3.702680006e+03 1.407884265e+03 1.1e-03 0.42
11 1.7e+00 2.2e+00 9.6e+01 9.76e-01 -2.640814236e+03 1.068117295e+03 7.7e-04 0.45
12 8.3e-01 1.1e+00 4.7e+01 9.83e-01 -1.192463111e+03 6.082577673e+02 3.7e-04 0.48
13 7.5e-01 1.1e+00 4.2e+01 9.49e-01 -1.099881139e+03 5.664459919e+02 3.4e-04 0.51
14 6.1e-01 9.0e-01 3.4e+01 9.87e-01 -8.367539315e+02 5.022443161e+02 2.7e-04 0.53
15 1.8e-01 2.9e-01 1.0e+01 9.89e-01 -1.546856025e+02 2.532167957e+02 8.3e-05 0.56
16 1.0e-01 1.9e-01 6.0e+00 1.01e+00 -2.103603125e+01 2.119258741e+02 4.8e-05 0.59
17 1.0e-01 1.8e-01 5.9e+00 1.02e+00 -1.941696380e+01 2.121464102e+02 4.8e-05 0.62
18 8.8e-02 1.6e-01 5.1e+00 1.02e+00 1.321929589e+01 2.124344275e+02 4.1e-05 0.66
19 3.5e-02 9.9e-02 2.0e+00 1.01e+00 1.052571524e+02 1.836747594e+02 1.6e-05 0.70
20 1.0e-02 1.8e-01 6.0e-01 1.01e+00 1.495210984e+02 1.727012417e+02 4.9e-06 0.73
21 3.2e-03 1.8e-01 1.9e-01 1.01e+00 1.611601293e+02 1.684674498e+02 1.5e-06 0.76
22 1.2e-03 1.2e-01 7.6e-02 1.01e+00 1.645375333e+02 1.674167850e+02 6.2e-07 0.80
23 6.1e-04 8.4e-02 3.8e-02 1.00e+00 1.655941128e+02 1.670419991e+02 3.1e-07 0.83
24 2.4e-04 8.6e-02 1.5e-02 1.01e+00 1.662269627e+02 1.668061704e+02 1.3e-07 0.87
25 2.2e-04 7.9e-02 1.4e-02 1.01e+00 1.662726938e+02 1.667938355e+02 1.1e-07 0.90
26 2.0e-04 7.2e-02 1.2e-02 1.01e+00 1.663097124e+02 1.667786036e+02 1.0e-07 0.93
27 1.8e-04 6.6e-02 1.1e-02 1.01e+00 1.663431776e+02 1.667650674e+02 9.2e-08 0.97
28 1.6e-04 6.0e-02 1.0e-02 1.01e+00 1.663731713e+02 1.667527810e+02 8.3e-08 1.00
29 1.4e-04 5.5e-02 9.0e-03 1.01e+00 1.664001045e+02 1.667416792e+02 7.5e-08 1.03
30 1.3e-04 5.0e-02 8.1e-03 1.01e+00 1.664242837e+02 1.667316409e+02 6.7e-08 1.07
31 1.2e-04 4.6e-02 7.3e-03 1.01e+00 1.664459932e+02 1.667225663e+02 6.1e-08 1.10
32 1.0e-04 4.2e-02 6.6e-03 1.00e+00 1.664654864e+02 1.667143632e+02 5.4e-08 1.14
33 9.4e-05 3.9e-02 5.9e-03 1.00e+00 1.664829904e+02 1.667069482e+02 4.9e-08 1.17
34 8.4e-05 3.6e-02 5.3e-03 1.00e+00 1.664987091e+02 1.667002462e+02 4.4e-08 1.20
35 7.6e-05 3.3e-02 4.8e-03 1.00e+00 1.665128252e+02 1.666941886e+02 4.0e-08 1.23
36 6.8e-05 3.0e-02 4.3e-03 1.00e+00 1.665255026e+02 1.666887138e+02 3.6e-08 1.27
37 6.1e-05 2.8e-02 3.9e-03 1.00e+00 1.665368885e+02 1.666837660e+02 3.2e-08 1.30
38 5.5e-05 2.6e-02 3.5e-03 1.00e+00 1.665471148e+02 1.666792946e+02 2.9e-08 1.33
39 5.0e-05 2.4e-02 3.2e-03 1.00e+00 1.665563001e+02 1.666752541e+02 2.6e-08 1.37
40 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.665645508e+02 1.666716032e+02 2.3e-08 1.40
41 4.0e-05 2.1e-02 2.6e-03 1.00e+00 1.665719624e+02 1.666683047e+02 2.1e-08 1.45
42 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.665786205e+02 1.666653248e+02 1.9e-08 1.48
43 3.3e-05 1.9e-02 2.1e-03 1.00e+00 1.665846021e+02 1.666626331e+02 1.7e-08 1.52
44 2.9e-05 1.8e-02 1.9e-03 1.00e+00 1.665899762e+02 1.666602019e+02 1.5e-08 1.56
45 2.6e-05 1.7e-02 1.7e-03 1.00e+00 1.665948048e+02 1.666580062e+02 1.4e-08 1.59
46 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.665991435e+02 1.666560235e+02 1.2e-08 1.63
47 2.1e-05 1.5e-02 1.4e-03 1.00e+00 1.666030422e+02 1.666542333e+02 1.1e-08 1.66
48 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.666065459e+02 1.666526172e+02 1.0e-08 1.70
49 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.666096947e+02 1.666511583e+02 9.1e-09 1.73
50 1.6e-05 1.3e-02 9.9e-04 1.00e+00 1.666125247e+02 1.666498417e+02 8.2e-09 1.77
51 1.4e-05 1.3e-02 8.9e-04 1.00e+00 1.666150684e+02 1.666486534e+02 7.4e-09 1.80
52 1.3e-05 1.2e-02 8.0e-04 1.00e+00 1.666173549e+02 1.666475813e+02 6.6e-09 1.84
53 1.1e-05 1.2e-02 7.2e-04 1.00e+00 1.666194103e+02 1.666466139e+02 6.0e-09 1.87
54 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.666212581e+02 1.666457413e+02 5.4e-09 1.91
55 9.2e-06 1.1e-02 5.8e-04 1.00e+00 1.666229193e+02 1.666449542e+02 4.8e-09 1.94
56 8.3e-06 1.1e-02 5.3e-04 1.00e+00 1.666244128e+02 1.666442442e+02 4.4e-09 1.98
57 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.666257557e+02 1.666436040e+02 3.9e-09 2.01
58 6.7e-06 1.0e-02 4.3e-04 1.00e+00 1.666269631e+02 1.666430267e+02 3.5e-09 2.05
59 6.1e-06 1.0e-02 3.8e-04 1.00e+00 1.666280488e+02 1.666425061e+02 3.2e-09 2.08
60 5.5e-06 9.9e-03 3.5e-04 1.00e+00 1.666290251e+02 1.666420367e+02 2.9e-09 2.12
61 4.9e-06 9.7e-03 3.1e-04 1.00e+00 1.666299029e+02 1.666416135e+02 2.6e-09 2.16
62 4.4e-06 9.5e-03 2.8e-04 1.00e+00 1.666306924e+02 1.666412319e+02 2.3e-09 2.19
63 4.0e-06 9.4e-03 2.5e-04 1.00e+00 1.666314022e+02 1.666408879e+02 2.1e-09 2.23
64 3.6e-06 9.3e-03 2.3e-04 1.00e+00 1.666320406e+02 1.666405777e+02 1.9e-09 2.26
65 3.2e-06 9.2e-03 2.0e-04 1.00e+00 1.666326145e+02 1.666402980e+02 1.7e-09 2.30
66 2.9e-06 9.1e-03 1.8e-04 1.00e+00 1.666331307e+02 1.666400459e+02 1.5e-09 2.33
67 2.6e-06 9.0e-03 1.7e-04 1.00e+00 1.666335948e+02 1.666398185e+02 1.4e-09 2.37
68 2.3e-06 8.9e-03 1.5e-04 1.00e+00 1.666340123e+02 1.666396136e+02 1.2e-09 2.40
69 2.1e-06 8.8e-03 1.3e-04 1.00e+00 1.666343877e+02 1.666394290e+02 1.1e-09 2.44
70 1.9e-06 8.7e-03 1.2e-04 1.00e+00 1.666347254e+02 1.666392626e+02 1.0e-09 2.48
71 1.7e-06 8.6e-03 1.1e-04 1.00e+00 1.666350291e+02 1.666391126e+02 9.0e-10 2.52
72 1.5e-06 8.6e-03 9.8e-05 1.00e+00 1.666353023e+02 1.666389775e+02 8.1e-10 2.56
73 1.4e-06 8.5e-03 8.8e-05 1.00e+00 1.666355481e+02 1.666388557e+02 7.3e-10 2.59
74 1.2e-06 8.5e-03 7.9e-05 1.00e+00 1.666357691e+02 1.666387460e+02 6.5e-10 2.63
75 1.1e-06 8.4e-03 7.1e-05 1.00e+00 1.666359679e+02 1.666386471e+02 5.9e-10 2.66
76 1.0e-06 8.4e-03 6.4e-05 9.99e-01 1.666361467e+02 1.666385581e+02 5.3e-10 2.70
77 9.1e-07 8.3e-03 5.8e-05 1.00e+00 1.666363075e+02 1.666384778e+02 4.8e-10 2.73
78 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.666364522e+02 1.666384054e+02 4.3e-10 2.76
79 7.4e-07 8.3e-03 4.7e-05 1.00e+00 1.666365822e+02 1.666383402e+02 3.9e-10 2.80
80 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.666366992e+02 1.666382814e+02 3.5e-10 2.83
81 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.666368044e+02 1.666382283e+02 3.1e-10 2.87
82 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.666368990e+02 1.666381805e+02 2.8e-10 2.90
83 4.8e-07 8.1e-03 3.1e-05 1.00e+00 1.666369841e+02 1.666381373e+02 2.5e-10 2.93
84 4.3e-07 8.1e-03 2.8e-05 1.00e+00 1.666370606e+02 1.666380985e+02 2.3e-10 2.97
85 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.666371293e+02 1.666380635e+02 2.1e-10 3.01
86 3.5e-07 8.1e-03 2.2e-05 9.99e-01 1.666371912e+02 1.666380320e+02 1.8e-10 3.04
87 3.2e-07 8.0e-03 2.0e-05 9.99e-01 1.666372468e+02 1.666380035e+02 1.7e-10 3.07
88 2.9e-07 8.0e-03 1.8e-05 9.99e-01 1.666372968e+02 1.666379779e+02 1.5e-10 3.11
89 2.6e-07 8.0e-03 1.6e-05 9.98e-01 1.666373418e+02 1.666379549e+02 1.3e-10 3.14
90 2.3e-07 8.0e-03 1.5e-05 1.00e+00 1.666373823e+02 1.666379340e+02 1.2e-10 3.18
91 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.666374187e+02 1.666379153e+02 1.1e-10 3.21
92 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.666374515e+02 1.666378984e+02 9.8e-11 3.24
93 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.666374810e+02 1.666378832e+02 8.8e-11 3.28
94 1.5e-07 7.9e-03 9.6e-06 1.00e+00 1.666375075e+02 1.666378695e+02 8.0e-11 3.31
95 1.4e-07 7.8e-03 8.6e-06 9.96e-01 1.666375313e+02 1.666378572e+02 7.2e-11 3.36
96 1.2e-07 7.1e-03 7.8e-06 1.00e+00 1.666375529e+02 1.666378460e+02 6.5e-11 3.40
97 1.1e-07 6.4e-03 7.0e-06 1.00e+00 1.666375724e+02 1.666378359e+02 5.8e-11 3.43
98 9.9e-08 5.7e-03 6.3e-06 9.99e-01 1.666375898e+02 1.666378269e+02 5.2e-11 3.47
99 9.0e-08 5.1e-03 5.7e-06 1.01e+00 1.666376058e+02 1.666378185e+02 4.7e-11 3.50
100 8.1e-08 4.6e-03 5.1e-06 1.01e+00 1.666376204e+02 1.666378109e+02 4.3e-11 3.53
101 7.3e-08 4.2e-03 4.6e-06 1.01e+00 1.666376331e+02 1.666378043e+02 3.8e-11 3.56
102 6.5e-08 3.8e-03 4.1e-06 9.96e-01 1.666376444e+02 1.666377985e+02 3.5e-11 3.60
103 5.9e-08 3.4e-03 3.7e-06 1.01e+00 1.666376547e+02 1.666377932e+02 3.1e-11 3.63
104 5.3e-08 3.0e-03 3.4e-06 9.96e-01 1.666376638e+02 1.666377885e+02 2.8e-11 3.66
105 4.8e-08 2.7e-03 3.0e-06 9.97e-01 1.666376720e+02 1.666377842e+02 2.5e-11 3.70
106 4.3e-08 2.5e-03 2.7e-06 9.86e-01 1.666376794e+02 1.666377805e+02 2.3e-11 3.73
107 3.9e-08 2.2e-03 2.4e-06 1.02e+00 1.666376866e+02 1.666377767e+02 2.1e-11 3.77
108 3.5e-08 2.0e-03 2.2e-06 9.97e-01 1.666376925e+02 1.666377736e+02 1.9e-11 3.80
109 3.1e-08 1.8e-03 2.0e-06 9.84e-01 1.666376978e+02 1.666377709e+02 1.7e-11 3.84
110 2.8e-08 1.6e-03 1.8e-06 1.00e+00 1.666377026e+02 1.666377684e+02 1.5e-11 3.87
111 2.5e-08 1.5e-03 1.6e-06 9.99e-01 1.666377070e+02 1.666377662e+02 1.4e-11 3.90
112 2.3e-08 1.3e-03 1.4e-06 9.91e-01 1.666377109e+02 1.666377642e+02 1.2e-11 3.94
113 2.1e-08 1.2e-03 1.3e-06 9.96e-01 1.666377144e+02 1.666377624e+02 1.1e-11 3.97
114 1.8e-08 1.1e-03 1.2e-06 9.93e-01 1.666377175e+02 1.666377607e+02 9.9e-12 4.00
115 1.7e-08 9.5e-04 1.1e-06 1.01e+00 1.666377205e+02 1.666377592e+02 8.9e-12 4.04
116 1.5e-08 8.6e-04 9.5e-07 9.78e-01 1.666377230e+02 1.666377579e+02 8.0e-12 4.07
117 1.3e-08 7.7e-04 8.5e-07 1.01e+00 1.666377255e+02 1.666377566e+02 7.3e-12 4.10
118 1.2e-08 7.0e-04 7.7e-07 1.02e+00 1.666377277e+02 1.666377554e+02 6.6e-12 4.14
119 1.1e-08 6.3e-04 6.9e-07 9.72e-01 1.666377295e+02 1.666377545e+02 6.0e-12 4.18
120 9.8e-09 5.6e-04 6.2e-07 9.72e-01 1.666377312e+02 1.666377537e+02 5.4e-12 4.21
121 8.9e-09 5.1e-04 5.6e-07 1.04e+00 1.666377329e+02 1.666377527e+02 4.9e-12 4.25
122 8.0e-09 4.6e-04 5.0e-07 9.51e-01 1.666377342e+02 1.666377521e+02 4.4e-12 4.28
123 7.2e-09 4.1e-04 4.5e-07 9.62e-01 1.666377354e+02 1.666377515e+02 4.0e-12 4.31
124 6.5e-09 3.7e-04 4.1e-07 1.04e+00 1.666377366e+02 1.666377508e+02 3.7e-12 4.35
125 5.9e-09 3.3e-04 3.7e-07 9.45e-01 1.666377376e+02 1.666377504e+02 3.3e-12 4.38
126 5.4e-09 3.0e-04 3.3e-07 1.05e+00 1.666377386e+02 1.666377498e+02 3.0e-12 4.41
127 4.9e-09 2.7e-04 3.0e-07 1.03e+00 1.666377394e+02 1.666377494e+02 2.8e-12 4.45
128 5.0e-09 1.6e-05 1.7e-08 9.07e-01 1.666377457e+02 1.666377463e+02 2.7e-13 4.48
Interior-point optimizer terminated. Time: 4.48.
Optimizer terminated. Time: 4.52
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774574e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6663774634e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.54 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
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 : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3454 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 : 1.50e+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 -1.286831189e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265334254e+05 3.567088629e+00 4.8e-01 0.32
2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.203833906e+05 1.011405412e+01 1.9e-01 0.35
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.157187268e+05 6.273746518e+01 1.3e-01 0.38
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.130228171e+05 2.338221240e+03 1.3e-01 0.41
5 7.3e+01 9.4e+01 4.1e+03 -7.53e-01 -7.357943328e+04 1.002316796e+04 3.2e-02 0.44
6 3.6e+01 4.6e+01 2.0e+03 -1.77e-01 -4.627011600e+04 1.019622271e+04 1.6e-02 0.48
7 2.1e+01 2.7e+01 1.2e+03 2.94e-01 -3.070495512e+04 6.914882293e+03 9.1e-03 0.51
8 1.2e+01 1.6e+01 6.7e+02 5.70e-01 -1.915342024e+04 4.482153531e+03 5.3e-03 0.54
9 4.6e+00 6.0e+00 2.6e+02 7.58e-01 -7.553485246e+03 2.153733203e+03 2.0e-03 0.57
10 2.2e+00 2.9e+00 1.2e+02 9.29e-01 -3.373478907e+03 1.376805722e+03 9.8e-04 0.60
11 1.5e+00 1.9e+00 8.3e+01 9.78e-01 -2.235745278e+03 9.646781986e+02 6.6e-04 0.64
12 8.6e-01 1.1e+00 4.8e+01 9.85e-01 -1.232394878e+03 6.312351484e+02 3.8e-04 0.67
13 7.4e-01 1.0e+00 4.2e+01 9.55e-01 -1.072951168e+03 5.641444885e+02 3.3e-04 0.70
14 5.4e-01 7.4e-01 3.1e+01 9.87e-01 -7.296207344e+02 4.692279920e+02 2.4e-04 0.74
15 1.7e-01 2.5e-01 9.5e+00 9.92e-01 -1.273585846e+02 2.445740386e+02 7.6e-05 0.77
16 9.5e-02 1.6e-01 5.5e+00 1.01e+00 -7.081656918e+00 2.069367879e+02 4.4e-05 0.80
17 9.5e-02 1.5e-01 5.4e+00 1.02e+00 -5.469335900e+00 2.070290896e+02 4.4e-05 0.83
18 8.5e-02 1.4e-01 4.9e+00 1.02e+00 1.652938445e+01 2.075256625e+02 4.0e-05 0.87
19 4.8e-02 8.5e-02 2.8e+00 1.02e+00 8.250757363e+01 1.894229345e+02 2.2e-05 0.89
20 1.7e-02 8.5e-02 9.7e-01 1.02e+00 1.380131562e+02 1.751269251e+02 7.8e-06 0.92
21 4.4e-03 2.2e-01 2.6e-01 1.01e+00 1.592047081e+02 1.692779828e+02 2.1e-06 0.95
22 3.1e-03 2.4e-01 1.9e-01 1.00e+00 1.612882931e+02 1.684034959e+02 1.5e-06 0.98
23 1.1e-03 1.4e-01 7.0e-02 1.00e+00 1.646187287e+02 1.672796516e+02 5.6e-07 1.01
24 8.8e-04 1.1e-01 5.3e-02 9.94e-01 1.650703036e+02 1.671014505e+02 4.3e-07 1.04
25 3.7e-04 8.4e-02 2.3e-02 9.84e-01 1.659153522e+02 1.667827849e+02 1.9e-07 1.07
26 2.0e-04 6.9e-02 1.3e-02 1.01e+00 1.661933307e+02 1.666719217e+02 1.0e-07 1.10
27 1.5e-04 6.4e-02 9.6e-03 1.01e+00 1.662781596e+02 1.666422086e+02 7.9e-08 1.12
28 1.4e-04 5.8e-02 8.6e-03 1.01e+00 1.663050784e+02 1.666325448e+02 7.1e-08 1.15
29 1.2e-04 5.3e-02 7.8e-03 1.01e+00 1.663278699e+02 1.666225216e+02 6.4e-08 1.19
30 1.1e-04 4.8e-02 7.0e-03 1.01e+00 1.663485688e+02 1.666137058e+02 5.7e-08 1.23
31 1.0e-04 4.4e-02 6.3e-03 1.01e+00 1.663671053e+02 1.666056883e+02 5.2e-08 1.26
32 9.1e-05 4.1e-02 5.7e-03 1.01e+00 1.663837464e+02 1.665984385e+02 4.6e-08 1.29
33 8.2e-05 3.7e-02 5.1e-03 1.00e+00 1.663986796e+02 1.665918761e+02 4.2e-08 1.32
34 7.4e-05 3.4e-02 4.6e-03 1.00e+00 1.664120826e+02 1.665859386e+02 3.8e-08 1.35
35 6.6e-05 3.1e-02 4.1e-03 1.00e+00 1.664241135e+02 1.665805672e+02 3.4e-08 1.38
36 6.0e-05 2.9e-02 3.7e-03 1.00e+00 1.664349140e+02 1.665757092e+02 3.1e-08 1.41
37 5.4e-05 2.7e-02 3.3e-03 1.00e+00 1.664446110e+02 1.665713163e+02 2.7e-08 1.44
38 4.8e-05 2.5e-02 3.0e-03 1.00e+00 1.664533181e+02 1.665673448e+02 2.5e-08 1.46
39 4.3e-05 2.3e-02 2.7e-03 1.00e+00 1.664611373e+02 1.665637550e+02 2.2e-08 1.49
40 3.9e-05 2.2e-02 2.4e-03 1.00e+00 1.664681598e+02 1.665605109e+02 2.0e-08 1.52
41 3.5e-05 2.0e-02 2.2e-03 1.00e+00 1.664744674e+02 1.665575796e+02 1.8e-08 1.56
42 3.2e-05 1.9e-02 2.0e-03 1.00e+00 1.664801333e+02 1.665549315e+02 1.6e-08 1.59
43 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.664852235e+02 1.665525398e+02 1.5e-08 1.62
44 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.664897968e+02 1.665503798e+02 1.3e-08 1.65
45 2.3e-05 1.6e-02 1.4e-03 1.00e+00 1.664939060e+02 1.665484296e+02 1.2e-08 1.68
46 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664975987e+02 1.665466691e+02 1.1e-08 1.71
47 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.665009174e+02 1.665450802e+02 9.6e-09 1.75
48 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.665039002e+02 1.665436465e+02 8.6e-09 1.78
49 1.5e-05 1.3e-02 9.5e-04 1.00e+00 1.665065815e+02 1.665423529e+02 7.8e-09 1.81
50 1.4e-05 1.3e-02 8.5e-04 1.00e+00 1.665089920e+02 1.665411862e+02 7.0e-09 1.85
51 1.2e-05 1.2e-02 7.7e-04 1.00e+00 1.665111593e+02 1.665401341e+02 6.3e-09 1.88
52 1.1e-05 1.2e-02 6.9e-04 1.00e+00 1.665131080e+02 1.665391854e+02 5.7e-09 1.91
53 9.9e-06 1.1e-02 6.2e-04 1.00e+00 1.665148605e+02 1.665383303e+02 5.1e-09 1.95
54 8.9e-06 1.1e-02 5.6e-04 1.00e+00 1.665164365e+02 1.665375595e+02 4.6e-09 1.98
55 8.1e-06 1.1e-02 5.0e-04 1.00e+00 1.665178541e+02 1.665368648e+02 4.1e-09 2.02
56 7.2e-06 1.0e-02 4.5e-04 1.00e+00 1.665191291e+02 1.665362388e+02 3.7e-09 2.05
57 6.5e-06 1.0e-02 4.1e-04 1.00e+00 1.665202759e+02 1.665356749e+02 3.3e-09 2.08
58 5.9e-06 1.0e-02 3.7e-04 1.00e+00 1.665213076e+02 1.665351668e+02 3.0e-09 2.12
59 5.3e-06 9.8e-03 3.3e-04 1.00e+00 1.665222356e+02 1.665347090e+02 2.7e-09 2.15
60 4.8e-06 9.6e-03 3.0e-04 1.00e+00 1.665230704e+02 1.665342965e+02 2.4e-09 2.18
61 4.3e-06 9.5e-03 2.7e-04 1.00e+00 1.665238213e+02 1.665339249e+02 2.2e-09 2.22
62 3.9e-06 9.3e-03 2.4e-04 1.00e+00 1.665244967e+02 1.665335901e+02 2.0e-09 2.25
63 3.5e-06 9.2e-03 2.2e-04 1.00e+00 1.665251042e+02 1.665332884e+02 1.8e-09 2.28
64 3.1e-06 9.1e-03 1.9e-04 1.00e+00 1.665256507e+02 1.665330165e+02 1.6e-09 2.32
65 2.8e-06 9.0e-03 1.8e-04 1.00e+00 1.665261421e+02 1.665327715e+02 1.4e-09 2.35
66 2.5e-06 8.9e-03 1.6e-04 1.00e+00 1.665265843e+02 1.665325507e+02 1.3e-09 2.38
67 2.3e-06 8.8e-03 1.4e-04 1.00e+00 1.665269820e+02 1.665323518e+02 1.2e-09 2.41
68 2.0e-06 8.7e-03 1.3e-04 1.00e+00 1.665273397e+02 1.665321727e+02 1.1e-09 2.43
69 1.8e-06 8.6e-03 1.2e-04 1.00e+00 1.665276616e+02 1.665320113e+02 9.5e-10 2.46
70 1.7e-06 8.6e-03 1.0e-04 1.00e+00 1.665279511e+02 1.665318659e+02 8.5e-10 2.49
71 1.5e-06 8.5e-03 9.3e-05 1.00e+00 1.665282116e+02 1.665317350e+02 7.7e-10 2.52
72 1.3e-06 8.5e-03 8.4e-05 1.00e+00 1.665284460e+02 1.665316171e+02 6.9e-10 2.55
73 1.2e-06 8.4e-03 7.5e-05 1.00e+00 1.665286567e+02 1.665315108e+02 6.2e-10 2.59
74 1.1e-06 8.4e-03 6.8e-05 1.00e+00 1.665288464e+02 1.665314151e+02 5.6e-10 2.62
75 9.8e-07 8.3e-03 6.1e-05 1.00e+00 1.665290170e+02 1.665313289e+02 5.0e-10 2.65
76 8.8e-07 8.3e-03 5.5e-05 1.00e+00 1.665291704e+02 1.665312511e+02 4.5e-10 2.68
77 7.9e-07 8.2e-03 5.0e-05 1.00e+00 1.665293085e+02 1.665311811e+02 4.1e-10 2.72
78 7.1e-07 8.2e-03 4.5e-05 9.99e-01 1.665294326e+02 1.665311180e+02 3.7e-10 2.75
79 6.4e-07 8.2e-03 4.0e-05 1.00e+00 1.665295442e+02 1.665310611e+02 3.3e-10 2.78
80 5.8e-07 8.2e-03 3.6e-05 1.00e+00 1.665296447e+02 1.665310098e+02 3.0e-10 2.80
81 5.2e-07 8.1e-03 3.2e-05 1.00e+00 1.665297350e+02 1.665309636e+02 2.7e-10 2.84
82 4.7e-07 8.1e-03 2.9e-05 1.00e+00 1.665298162e+02 1.665309219e+02 2.4e-10 2.87
83 4.2e-07 8.1e-03 2.6e-05 9.99e-01 1.665298892e+02 1.665308844e+02 2.2e-10 2.90
84 3.8e-07 8.1e-03 2.4e-05 1.00e+00 1.665299548e+02 1.665308506e+02 1.9e-10 2.94
85 3.4e-07 8.0e-03 2.1e-05 1.00e+00 1.665300139e+02 1.665308200e+02 1.8e-10 2.96
86 3.1e-07 8.0e-03 1.9e-05 1.00e+00 1.665300670e+02 1.665307925e+02 1.6e-10 3.00
87 2.8e-07 8.0e-03 1.7e-05 1.00e+00 1.665301148e+02 1.665307677e+02 1.4e-10 3.03
88 2.5e-07 8.0e-03 1.6e-05 1.00e+00 1.665301578e+02 1.665307454e+02 1.3e-10 3.07
89 2.2e-07 7.9e-03 1.4e-05 1.00e+00 1.665301964e+02 1.665307253e+02 1.2e-10 3.10
90 2.0e-07 7.9e-03 1.3e-05 1.00e+00 1.665302312e+02 1.665307071e+02 1.0e-10 3.13
91 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.665302625e+02 1.665306908e+02 9.3e-11 3.17
92 1.6e-07 7.9e-03 1.0e-05 9.96e-01 1.665302906e+02 1.665306762e+02 8.4e-11 3.20
93 1.5e-07 7.9e-03 9.2e-06 9.95e-01 1.665303159e+02 1.665306630e+02 7.5e-11 3.24
94 1.3e-07 7.8e-03 8.3e-06 9.99e-01 1.665303387e+02 1.665306511e+02 6.8e-11 3.27
95 1.2e-07 7.8e-03 7.4e-06 9.99e-01 1.665303592e+02 1.665306404e+02 6.1e-11 3.31
96 1.1e-07 7.8e-03 6.7e-06 9.90e-01 1.665303776e+02 1.665306308e+02 5.5e-11 3.34
97 9.6e-08 7.0e-03 6.0e-06 1.01e+00 1.665303948e+02 1.665306217e+02 5.0e-11 3.37
98 8.7e-08 6.3e-03 5.4e-06 9.94e-01 1.665304097e+02 1.665306139e+02 4.5e-11 3.41
99 7.8e-08 5.7e-03 4.9e-06 1.01e+00 1.665304238e+02 1.665306064e+02 4.1e-11 3.45
100 7.0e-08 5.1e-03 4.4e-06 9.84e-01 1.665304358e+02 1.665306002e+02 3.6e-11 3.48
101 6.3e-08 4.6e-03 4.0e-06 9.89e-01 1.665304465e+02 1.665305946e+02 3.3e-11 3.51
102 5.7e-08 4.1e-03 3.6e-06 1.00e+00 1.665304562e+02 1.665305895e+02 3.0e-11 3.55
103 5.1e-08 3.7e-03 3.2e-06 9.63e-01 1.665304649e+02 1.665305851e+02 2.7e-11 3.58
104 4.6e-08 3.4e-03 2.9e-06 9.97e-01 1.665304728e+02 1.665305809e+02 2.4e-11 3.62
105 4.2e-08 3.0e-03 2.6e-06 1.00e+00 1.665304799e+02 1.665305772e+02 2.2e-11 3.65
106 3.7e-08 2.7e-03 2.3e-06 1.02e+00 1.665304867e+02 1.665305735e+02 2.0e-11 3.68
107 3.4e-08 2.4e-03 2.1e-06 1.01e+00 1.665304926e+02 1.665305704e+02 1.8e-11 3.72
108 3.0e-08 2.2e-03 1.9e-06 1.00e+00 1.665304977e+02 1.665305677e+02 1.6e-11 3.76
109 2.7e-08 2.0e-03 1.7e-06 1.02e+00 1.665305027e+02 1.665305650e+02 1.4e-11 3.79
110 2.5e-08 1.8e-03 1.5e-06 1.03e+00 1.665305073e+02 1.665305625e+02 1.3e-11 3.82
111 2.2e-08 1.6e-03 1.4e-06 1.06e+00 1.665305119e+02 1.665305600e+02 1.2e-11 3.86
112 2.0e-08 1.4e-03 1.2e-06 1.03e+00 1.665305155e+02 1.665305581e+02 1.1e-11 3.89
113 1.8e-08 1.3e-03 1.1e-06 1.01e+00 1.665305185e+02 1.665305565e+02 1.0e-11 3.93
114 1.6e-08 1.2e-03 1.0e-06 1.05e+00 1.665305215e+02 1.665305549e+02 9.3e-12 3.96
115 1.5e-08 1.1e-03 9.0e-07 1.08e+00 1.665305246e+02 1.665305532e+02 8.7e-12 4.00
116 1.3e-08 9.5e-04 8.1e-07 9.41e-01 1.665305264e+02 1.665305523e+02 7.8e-12 4.03
117 1.2e-08 8.5e-04 7.3e-07 9.52e-01 1.665305281e+02 1.665305515e+02 7.1e-12 4.06
118 1.1e-08 7.7e-04 6.6e-07 9.95e-01 1.665305297e+02 1.665305507e+02 6.3e-12 4.10
119 9.6e-09 6.9e-04 5.9e-07 9.87e-01 1.665305310e+02 1.665305500e+02 5.7e-12 4.13
120 8.7e-09 6.2e-04 5.3e-07 1.09e+00 1.665305328e+02 1.665305490e+02 5.4e-12 4.16
121 7.8e-09 5.6e-04 4.8e-07 9.11e-01 1.665305338e+02 1.665305485e+02 4.8e-12 4.20
122 7.2e-09 5.0e-04 4.3e-07 9.37e-01 1.665305348e+02 1.665305481e+02 4.3e-12 4.23
123 6.9e-09 4.5e-04 3.9e-07 1.12e+00 1.665305362e+02 1.665305473e+02 4.2e-12 4.27
124 6.5e-09 4.1e-04 3.5e-07 1.45e+00 1.665305370e+02 1.665305467e+02 3.7e-12 4.30
125 6.4e-09 3.7e-04 3.2e-07 1.08e+00 1.665305379e+02 1.665305463e+02 3.5e-12 4.33
126 6.2e-09 3.3e-04 2.8e-07 1.08e+00 1.665305387e+02 1.665305459e+02 3.3e-12 4.36
127 5.5e-09 3.0e-04 2.6e-07 1.31e+00 1.665305392e+02 1.665305456e+02 2.9e-12 4.40
128 5.4e-09 2.7e-04 2.3e-07 1.11e+00 1.665305398e+02 1.665305452e+02 2.8e-12 4.44
129 1.0e-09 3.6e-05 3.1e-08 1.07e+00 1.665305430e+02 1.665305437e+02 3.1e-13 4.47
Interior-point optimizer terminated. Time: 4.47.
Optimizer terminated. Time: 4.54
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054301e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.6653054369e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.56 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
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 : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3454 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.07 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+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 -1.286794233e+05 2.000000000e+00 1.0e+00 0.10
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265193138e+05 3.562468151e+00 4.8e-01 0.14
2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.203206452e+05 1.018342991e+01 1.9e-01 0.17
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.156409013e+05 6.364087440e+01 1.2e-01 0.21
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.129715058e+05 2.317183175e+03 1.2e-01 0.24
5 7.5e+01 9.6e+01 4.1e+03 -7.52e-01 -7.449867358e+04 9.815519291e+03 3.3e-02 0.27
6 3.3e+01 4.2e+01 1.8e+03 -1.91e-01 -4.334745726e+04 1.041512482e+04 1.4e-02 0.30
7 1.9e+01 2.5e+01 1.1e+03 3.44e-01 -2.849533950e+04 6.964165589e+03 8.4e-03 0.33
8 1.1e+01 1.5e+01 6.3e+02 6.08e-01 -1.796450217e+04 4.391109278e+03 5.0e-03 0.36
9 4.5e+00 5.8e+00 2.5e+02 7.77e-01 -7.324439046e+03 2.111346933e+03 2.0e-03 0.40
10 2.1e+00 2.6e+00 1.1e+02 9.31e-01 -3.116052076e+03 1.308116194e+03 9.1e-04 0.43
11 1.3e+00 1.6e+00 7.2e+01 9.82e-01 -1.904958012e+03 8.676170475e+02 5.7e-04 0.46
12 8.0e-01 1.0e+00 4.5e+01 9.84e-01 -1.145134043e+03 6.061194663e+02 3.6e-04 0.50
13 5.8e-01 7.8e-01 3.3e+01 9.59e-01 -8.109089497e+02 4.776204648e+02 2.6e-04 0.53
14 4.0e-01 5.4e-01 2.2e+01 9.99e-01 -4.814184376e+02 3.973792442e+02 1.8e-04 0.56
15 1.7e-01 2.4e-01 9.8e+00 9.93e-01 -1.314233182e+02 2.544985575e+02 7.9e-05 0.60
16 8.7e-02 1.4e-01 5.0e+00 1.01e+00 1.012934730e+01 2.046753725e+02 4.0e-05 0.63
17 7.7e-02 1.2e-01 4.4e+00 1.02e+00 3.170022311e+01 2.038243974e+02 3.6e-05 0.66
18 3.2e-02 7.2e-02 1.9e+00 1.02e+00 1.106401273e+02 1.821129435e+02 1.5e-05 0.70
19 9.1e-03 1.4e-01 5.3e-01 1.02e+00 1.513039894e+02 1.716132273e+02 4.2e-06 0.73
20 2.9e-03 1.1e-01 1.8e-01 1.01e+00 1.615101393e+02 1.682125172e+02 1.4e-06 0.76
21 1.8e-03 8.3e-02 1.1e-01 1.01e+00 1.633763804e+02 1.675973577e+02 8.9e-07 0.79
22 5.4e-04 1.3e-01 3.3e-02 1.01e+00 1.655667278e+02 1.668409092e+02 2.7e-07 0.83
23 3.8e-04 1.1e-01 2.3e-02 9.97e-01 1.658449601e+02 1.667302781e+02 1.9e-07 0.86
24 2.2e-04 7.7e-02 1.3e-02 9.83e-01 1.661136960e+02 1.666259818e+02 1.1e-07 0.89
25 1.7e-04 6.2e-02 1.1e-02 1.00e+00 1.661878522e+02 1.666016595e+02 9.0e-08 0.92
26 1.6e-04 5.7e-02 9.8e-03 1.01e+00 1.662177580e+02 1.665899958e+02 8.1e-08 0.96
27 1.4e-04 5.2e-02 8.8e-03 1.01e+00 1.662439705e+02 1.665788729e+02 7.3e-08 0.99
28 1.3e-04 4.8e-02 7.9e-03 1.01e+00 1.662676642e+02 1.665690090e+02 6.5e-08 1.03
29 1.1e-04 4.4e-02 7.1e-03 1.01e+00 1.662888977e+02 1.665600527e+02 5.9e-08 1.06
30 1.0e-04 4.0e-02 6.4e-03 1.01e+00 1.663079552e+02 1.665519498e+02 5.3e-08 1.09
31 9.2e-05 3.7e-02 5.8e-03 1.01e+00 1.663250556e+02 1.665446143e+02 4.8e-08 1.13
32 8.3e-05 3.4e-02 5.2e-03 1.01e+00 1.663404013e+02 1.665379747e+02 4.3e-08 1.16
33 7.5e-05 3.1e-02 4.7e-03 1.00e+00 1.663541726e+02 1.665319651e+02 3.9e-08 1.19
34 6.7e-05 2.9e-02 4.2e-03 1.00e+00 1.663665320e+02 1.665265262e+02 3.5e-08 1.23
35 6.1e-05 2.7e-02 3.8e-03 1.00e+00 1.663776250e+02 1.665216046e+02 3.1e-08 1.26
36 5.5e-05 2.5e-02 3.4e-03 1.00e+00 1.663875824e+02 1.665171520e+02 2.8e-08 1.30
37 4.9e-05 2.3e-02 3.1e-03 1.00e+00 1.663965214e+02 1.665131245e+02 2.5e-08 1.33
38 4.4e-05 2.2e-02 2.8e-03 1.00e+00 1.664045471e+02 1.665094823e+02 2.3e-08 1.36
39 4.0e-05 2.0e-02 2.5e-03 1.00e+00 1.664117536e+02 1.665061893e+02 2.1e-08 1.40
40 3.6e-05 1.9e-02 2.2e-03 1.00e+00 1.664182252e+02 1.665032127e+02 1.9e-08 1.43
41 3.2e-05 1.8e-02 2.0e-03 1.00e+00 1.664240375e+02 1.665005227e+02 1.7e-08 1.47
42 2.9e-05 1.7e-02 1.8e-03 1.00e+00 1.664292583e+02 1.664980921e+02 1.5e-08 1.50
43 2.6e-05 1.6e-02 1.6e-03 1.00e+00 1.664339482e+02 1.664958965e+02 1.4e-08 1.53
44 2.4e-05 1.5e-02 1.5e-03 1.00e+00 1.664381616e+02 1.664939135e+02 1.2e-08 1.57
45 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664419473e+02 1.664921229e+02 1.1e-08 1.60
46 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.664453491e+02 1.664905063e+02 9.9e-09 1.64
47 1.7e-05 1.3e-02 1.1e-03 1.00e+00 1.664484062e+02 1.664890470e+02 8.9e-09 1.67
48 1.5e-05 1.3e-02 9.7e-04 1.00e+00 1.664511538e+02 1.664877302e+02 8.0e-09 1.71
49 1.4e-05 1.2e-02 8.7e-04 1.00e+00 1.664536234e+02 1.664865419e+02 7.2e-09 1.74
50 1.2e-05 1.2e-02 7.8e-04 1.00e+00 1.664558435e+02 1.664854699e+02 6.5e-09 1.78
51 1.1e-05 1.1e-02 7.0e-04 1.00e+00 1.664578393e+02 1.664845030e+02 5.8e-09 1.81
52 1.0e-05 1.1e-02 6.3e-04 1.00e+00 1.664596336e+02 1.664836310e+02 5.2e-09 1.84
53 9.1e-06 1.1e-02 5.7e-04 1.00e+00 1.664612471e+02 1.664828448e+02 4.7e-09 1.88
54 8.2e-06 1.0e-02 5.1e-04 1.00e+00 1.664626980e+02 1.664821360e+02 4.2e-09 1.91
55 7.4e-06 1.0e-02 4.6e-04 1.00e+00 1.664640028e+02 1.664814970e+02 3.8e-09 1.95
56 6.6e-06 1.0e-02 4.2e-04 1.00e+00 1.664651763e+02 1.664809212e+02 3.4e-09 1.97
57 6.0e-06 9.8e-03 3.7e-04 1.00e+00 1.664662318e+02 1.664804023e+02 3.1e-09 2.01
58 5.4e-06 9.6e-03 3.4e-04 1.00e+00 1.664671812e+02 1.664799348e+02 2.8e-09 2.04
59 4.8e-06 9.4e-03 3.0e-04 1.00e+00 1.664680352e+02 1.664795135e+02 2.5e-09 2.07
60 4.4e-06 9.3e-03 2.7e-04 1.00e+00 1.664688034e+02 1.664791340e+02 2.3e-09 2.09
61 3.9e-06 9.1e-03 2.5e-04 1.00e+00 1.664694945e+02 1.664787921e+02 2.0e-09 2.13
62 3.5e-06 9.0e-03 2.2e-04 1.00e+00 1.664701161e+02 1.664784841e+02 1.8e-09 2.16
63 3.2e-06 8.9e-03 2.0e-04 1.00e+00 1.664706754e+02 1.664782066e+02 1.6e-09 2.20
64 2.9e-06 8.8e-03 1.8e-04 1.00e+00 1.664711785e+02 1.664779567e+02 1.5e-09 2.23
65 2.6e-06 8.7e-03 1.6e-04 1.00e+00 1.664716311e+02 1.664777315e+02 1.3e-09 2.27
66 2.3e-06 8.6e-03 1.5e-04 1.00e+00 1.664720384e+02 1.664775288e+02 1.2e-09 2.29
67 2.1e-06 8.5e-03 1.3e-04 1.00e+00 1.664724049e+02 1.664773463e+02 1.1e-09 2.32
68 1.9e-06 8.4e-03 1.2e-04 1.00e+00 1.664727346e+02 1.664771820e+02 9.7e-10 2.35
69 1.7e-06 8.4e-03 1.1e-04 1.00e+00 1.664730314e+02 1.664770341e+02 8.7e-10 2.38
70 1.5e-06 8.3e-03 9.5e-05 1.00e+00 1.664732985e+02 1.664769010e+02 7.9e-10 2.42
71 1.4e-06 8.2e-03 8.6e-05 1.00e+00 1.664735388e+02 1.664767811e+02 7.1e-10 2.45
72 1.2e-06 8.2e-03 7.7e-05 1.00e+00 1.664737551e+02 1.664766732e+02 6.4e-10 2.48
73 1.1e-06 8.1e-03 6.9e-05 1.00e+00 1.664739498e+02 1.664765761e+02 5.7e-10 2.52
74 1.0e-06 8.1e-03 6.3e-05 1.00e+00 1.664741249e+02 1.664764886e+02 5.2e-10 2.55
75 9.0e-07 8.0e-03 5.6e-05 1.00e+00 1.664742826e+02 1.664764099e+02 4.6e-10 2.57
76 8.1e-07 8.0e-03 5.1e-05 1.00e+00 1.664744244e+02 1.664763390e+02 4.2e-10 2.61
77 7.3e-07 8.0e-03 4.6e-05 1.00e+00 1.664745520e+02 1.664762751e+02 3.8e-10 2.64
78 6.5e-07 7.9e-03 4.1e-05 1.00e+00 1.664746668e+02 1.664762176e+02 3.4e-10 2.67
79 5.9e-07 7.9e-03 3.7e-05 1.00e+00 1.664747701e+02 1.664761658e+02 3.1e-10 2.70
80 5.3e-07 7.9e-03 3.3e-05 1.00e+00 1.664748631e+02 1.664761192e+02 2.7e-10 2.74
81 4.8e-07 7.8e-03 3.0e-05 1.00e+00 1.664749466e+02 1.664760772e+02 2.5e-10 2.77
82 4.3e-07 7.8e-03 2.7e-05 1.00e+00 1.664750218e+02 1.664760393e+02 2.2e-10 2.81
83 3.9e-07 7.8e-03 2.4e-05 1.00e+00 1.664750895e+02 1.664760052e+02 2.0e-10 2.84
84 3.5e-07 7.8e-03 2.2e-05 1.00e+00 1.664751503e+02 1.664759745e+02 1.8e-10 2.88
85 3.1e-07 7.8e-03 2.0e-05 1.00e+00 1.664752051e+02 1.664759468e+02 1.6e-10 2.91
86 2.8e-07 7.7e-03 1.8e-05 1.00e+00 1.664752543e+02 1.664759218e+02 1.5e-10 2.94
87 2.5e-07 7.7e-03 1.6e-05 9.99e-01 1.664752986e+02 1.664758994e+02 1.3e-10 2.97
88 2.3e-07 7.7e-03 1.4e-05 1.00e+00 1.664753385e+02 1.664758792e+02 1.2e-10 3.00
89 2.1e-07 7.7e-03 1.3e-05 9.99e-01 1.664753743e+02 1.664758610e+02 1.1e-10 3.03
90 1.8e-07 7.7e-03 1.2e-05 1.00e+00 1.664754066e+02 1.664758446e+02 9.6e-11 3.06
91 1.7e-07 7.7e-03 1.0e-05 1.00e+00 1.664754357e+02 1.664758298e+02 8.6e-11 3.09
92 1.5e-07 7.6e-03 9.4e-06 1.00e+00 1.664754618e+02 1.664758165e+02 7.8e-11 3.12
93 1.3e-07 7.6e-03 8.4e-06 9.97e-01 1.664754853e+02 1.664758046e+02 7.0e-11 3.14
94 1.2e-07 7.6e-03 7.6e-06 9.99e-01 1.664755064e+02 1.664757938e+02 6.3e-11 3.18
95 1.1e-07 7.6e-03 6.8e-06 1.00e+00 1.664755255e+02 1.664757841e+02 5.7e-11 3.22
96 9.8e-08 7.6e-03 6.2e-06 9.98e-01 1.664755426e+02 1.664757754e+02 5.1e-11 3.26
97 8.8e-08 7.6e-03 5.5e-06 1.00e+00 1.664755580e+02 1.664757675e+02 4.6e-11 3.28
98 8.0e-08 7.6e-03 5.0e-06 1.00e+00 1.664755720e+02 1.664757604e+02 4.1e-11 3.32
99 7.2e-08 7.5e-03 4.5e-06 9.98e-01 1.664755844e+02 1.664757541e+02 3.7e-11 3.35
100 6.4e-08 7.5e-03 4.0e-06 1.00e+00 1.664755957e+02 1.664757483e+02 3.3e-11 3.38
101 5.8e-08 7.5e-03 3.6e-06 9.98e-01 1.664756058e+02 1.664757432e+02 3.0e-11 3.41
102 5.2e-08 7.5e-03 3.3e-06 1.00e+00 1.664756149e+02 1.664757385e+02 2.7e-11 3.44
103 4.7e-08 7.5e-03 2.9e-06 9.96e-01 1.664756231e+02 1.664757344e+02 2.4e-11 3.47
104 4.2e-08 6.7e-03 2.7e-06 1.00e+00 1.664756305e+02 1.664757306e+02 2.2e-11 3.50
105 3.8e-08 6.1e-03 2.4e-06 1.01e+00 1.664756372e+02 1.664757271e+02 2.0e-11 3.53
106 3.4e-08 5.5e-03 2.1e-06 9.98e-01 1.664756432e+02 1.664757241e+02 1.8e-11 3.56
107 3.1e-08 4.9e-03 1.9e-06 1.01e+00 1.664756487e+02 1.664757213e+02 1.6e-11 3.60
108 2.8e-08 4.4e-03 1.7e-06 9.90e-01 1.664756535e+02 1.664757188e+02 1.4e-11 3.63
109 2.5e-08 4.0e-03 1.6e-06 1.01e+00 1.664756579e+02 1.664757166e+02 1.3e-11 3.66
110 2.2e-08 3.6e-03 1.4e-06 1.01e+00 1.664756619e+02 1.664757145e+02 1.2e-11 3.70
111 2.0e-08 3.2e-03 1.3e-06 9.90e-01 1.664756654e+02 1.664757128e+02 1.1e-11 3.73
112 1.8e-08 2.9e-03 1.1e-06 1.01e+00 1.664756686e+02 1.664757111e+02 9.6e-12 3.76
113 1.6e-08 2.6e-03 1.0e-06 9.89e-01 1.664756714e+02 1.664757097e+02 8.6e-12 3.80
114 1.5e-08 2.4e-03 9.2e-07 9.86e-01 1.664756739e+02 1.664757084e+02 7.8e-12 3.83
115 1.3e-08 2.1e-03 8.3e-07 9.97e-01 1.664756762e+02 1.664757073e+02 7.0e-12 3.86
116 1.2e-08 1.9e-03 7.5e-07 1.03e+00 1.664756785e+02 1.664757061e+02 6.4e-12 3.90
117 1.1e-08 1.7e-03 6.7e-07 1.02e+00 1.664756805e+02 1.664757050e+02 5.8e-12 3.93
118 9.7e-09 1.5e-03 6.1e-07 1.01e+00 1.664756822e+02 1.664757041e+02 5.2e-12 3.96
119 1.4e-09 1.7e-04 6.6e-08 1.01e+00 1.664756951e+02 1.664756975e+02 5.5e-13 4.00
Interior-point optimizer terminated. Time: 4.00.
Optimizer terminated. Time: 4.03
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569514e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6647569750e+02 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.05 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
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 : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3453 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 : 1.50e+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 -1.286082582e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264455445e+05 3.561147649e+00 4.8e-01 0.12
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.202189367e+05 1.021577354e+01 1.8e-01 0.15
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.155276032e+05 6.409885260e+01 1.2e-01 0.18
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.128745040e+05 2.305050180e+03 1.2e-01 0.22
5 7.5e+01 9.7e+01 4.2e+03 -7.52e-01 -7.464876068e+04 9.750339807e+03 3.3e-02 0.25
6 3.0e+01 3.9e+01 1.7e+03 -1.94e-01 -4.061325363e+04 1.038313328e+04 1.3e-02 0.28
7 1.8e+01 2.3e+01 1.0e+03 3.92e-01 -2.711376396e+04 6.759407836e+03 8.0e-03 0.31
8 9.7e+00 1.3e+01 5.4e+02 6.31e-01 -1.563222079e+04 3.921993027e+03 4.3e-03 0.34
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.377817192e+03 1.902956967e+03 1.7e-03 0.37
10 2.1e+00 2.7e+00 1.2e+02 9.42e-01 -3.277241167e+03 1.216027526e+03 9.3e-04 0.41
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.515219650e+03 7.311998970e+02 4.6e-04 0.44
12 8.1e-01 1.0e+00 4.6e+01 9.78e-01 -1.187425390e+03 6.070196731e+02 3.6e-04 0.47
13 4.8e-01 6.2e-01 2.7e+01 9.74e-01 -6.492690142e+02 4.265901389e+02 2.2e-04 0.50
14 2.7e-01 3.5e-01 1.5e+01 1.00e+00 -2.813460096e+02 3.142364299e+02 1.2e-04 0.53
15 9.6e-02 1.5e-01 5.5e+00 1.00e+00 -8.236271583e+00 2.072947131e+02 4.4e-05 0.57
16 8.7e-02 1.3e-01 5.0e+00 1.02e+00 1.500678918e+01 2.092559466e+02 4.0e-05 0.60
17 5.9e-02 9.3e-02 3.4e+00 1.02e+00 6.337159706e+01 1.948900418e+02 2.7e-05 0.63
18 2.9e-02 7.0e-02 1.7e+00 1.02e+00 1.166938181e+02 1.805919850e+02 1.3e-05 0.66
19 8.2e-03 1.9e-01 4.8e-01 1.02e+00 1.531107497e+02 1.714044098e+02 3.8e-06 0.70
20 3.1e-03 2.2e-01 1.8e-01 1.01e+00 1.611495858e+02 1.681146339e+02 1.5e-06 0.73
21 1.8e-03 1.4e-01 1.1e-01 1.01e+00 1.633185517e+02 1.674979115e+02 8.9e-07 0.76
22 5.5e-04 1.3e-01 3.4e-02 1.01e+00 1.655218499e+02 1.668072206e+02 2.8e-07 0.80
23 4.0e-04 1.1e-01 2.5e-02 9.96e-01 1.657699812e+02 1.667103950e+02 2.1e-07 0.83
24 2.2e-04 7.8e-02 1.4e-02 9.85e-01 1.660774807e+02 1.665929390e+02 1.1e-07 0.86
25 1.9e-04 6.7e-02 1.2e-02 1.00e+00 1.661340464e+02 1.665753677e+02 9.6e-08 0.90
26 1.7e-04 6.1e-02 1.0e-02 1.01e+00 1.661667951e+02 1.665637268e+02 8.7e-08 0.94
27 1.5e-04 5.5e-02 9.4e-03 1.01e+00 1.661948442e+02 1.665519650e+02 7.8e-08 0.97
28 1.4e-04 5.1e-02 8.5e-03 1.01e+00 1.662202317e+02 1.665415639e+02 7.0e-08 1.01
29 1.2e-04 4.6e-02 7.6e-03 1.01e+00 1.662429705e+02 1.665321081e+02 6.3e-08 1.04
30 1.1e-04 4.2e-02 6.9e-03 1.01e+00 1.662633791e+02 1.665235528e+02 5.7e-08 1.07
31 9.9e-05 3.9e-02 6.2e-03 1.01e+00 1.662816920e+02 1.665158078e+02 5.1e-08 1.11
32 8.9e-05 3.6e-02 5.6e-03 1.01e+00 1.662981263e+02 1.665087975e+02 4.6e-08 1.14
33 8.0e-05 3.3e-02 5.0e-03 1.00e+00 1.663128750e+02 1.665024524e+02 4.2e-08 1.17
34 7.2e-05 3.0e-02 4.5e-03 1.00e+00 1.663261116e+02 1.664967098e+02 3.7e-08 1.21
35 6.5e-05 2.8e-02 4.1e-03 1.00e+00 1.663379919e+02 1.664915130e+02 3.4e-08 1.24
36 5.9e-05 2.6e-02 3.7e-03 1.00e+00 1.663486558e+02 1.664868108e+02 3.0e-08 1.28
37 5.3e-05 2.4e-02 3.3e-03 1.00e+00 1.663582286e+02 1.664825570e+02 2.7e-08 1.31
38 4.8e-05 2.3e-02 3.0e-03 1.00e+00 1.663668228e+02 1.664787097e+02 2.5e-08 1.35
39 4.3e-05 2.1e-02 2.7e-03 1.00e+00 1.663745395e+02 1.664752307e+02 2.2e-08 1.38
40 3.8e-05 2.0e-02 2.4e-03 1.00e+00 1.663814688e+02 1.664720854e+02 2.0e-08 1.41
41 3.5e-05 1.9e-02 2.2e-03 1.00e+00 1.663876918e+02 1.664692424e+02 1.8e-08 1.44
42 3.1e-05 1.7e-02 1.9e-03 1.00e+00 1.663932810e+02 1.664666731e+02 1.6e-08 1.48
43 2.8e-05 1.6e-02 1.8e-03 1.00e+00 1.663983013e+02 1.664643516e+02 1.5e-08 1.51
44 2.5e-05 1.6e-02 1.6e-03 1.00e+00 1.664028109e+02 1.664622542e+02 1.3e-08 1.55
45 2.3e-05 1.5e-02 1.4e-03 1.00e+00 1.664068622e+02 1.664603596e+02 1.2e-08 1.58
46 2.0e-05 1.4e-02 1.3e-03 1.00e+00 1.664105020e+02 1.664586485e+02 1.1e-08 1.61
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664137722e+02 1.664571032e+02 9.5e-09 1.65
48 1.7e-05 1.3e-02 1.0e-03 1.00e+00 1.664167106e+02 1.664557079e+02 8.6e-09 1.68
49 1.5e-05 1.2e-02 9.3e-04 1.00e+00 1.664193511e+02 1.664544481e+02 7.7e-09 1.72
50 1.3e-05 1.2e-02 8.4e-04 1.00e+00 1.664217239e+02 1.664533109e+02 7.0e-09 1.75
51 1.2e-05 1.2e-02 7.5e-04 1.00e+00 1.664238564e+02 1.664522845e+02 6.3e-09 1.79
52 1.1e-05 1.1e-02 6.8e-04 1.00e+00 1.664257731e+02 1.664513582e+02 5.6e-09 1.82
53 9.8e-06 1.1e-02 6.1e-04 1.00e+00 1.664274958e+02 1.664505224e+02 5.1e-09 1.85
54 8.8e-06 1.1e-02 5.5e-04 1.00e+00 1.664290444e+02 1.664497683e+02 4.6e-09 1.89
55 7.9e-06 1.0e-02 4.9e-04 1.00e+00 1.664304365e+02 1.664490881e+02 4.1e-09 1.92
56 7.1e-06 1.0e-02 4.5e-04 1.00e+00 1.664316880e+02 1.664484745e+02 3.7e-09 1.96
57 6.4e-06 9.8e-03 4.0e-04 1.00e+00 1.664328133e+02 1.664479211e+02 3.3e-09 2.00
58 5.8e-06 9.7e-03 3.6e-04 1.00e+00 1.664338249e+02 1.664474221e+02 3.0e-09 2.03
59 5.2e-06 9.5e-03 3.2e-04 1.00e+00 1.664347346e+02 1.664469721e+02 2.7e-09 2.07
60 4.7e-06 9.3e-03 2.9e-04 1.00e+00 1.664355526e+02 1.664465664e+02 2.4e-09 2.10
61 4.2e-06 9.2e-03 2.6e-04 1.00e+00 1.664362881e+02 1.664462005e+02 2.2e-09 2.13
62 3.8e-06 9.1e-03 2.4e-04 1.00e+00 1.664369494e+02 1.664458707e+02 2.0e-09 2.17
63 3.4e-06 8.9e-03 2.1e-04 1.00e+00 1.664375441e+02 1.664455734e+02 1.8e-09 2.20
64 3.1e-06 8.8e-03 1.9e-04 1.00e+00 1.664380789e+02 1.664453053e+02 1.6e-09 2.23
65 2.8e-06 8.7e-03 1.7e-04 1.00e+00 1.664385599e+02 1.664450637e+02 1.4e-09 2.27
66 2.5e-06 8.6e-03 1.6e-04 1.00e+00 1.664389925e+02 1.664448459e+02 1.3e-09 2.31
67 2.2e-06 8.6e-03 1.4e-04 1.00e+00 1.664393816e+02 1.664446497e+02 1.2e-09 2.35
68 2.0e-06 8.5e-03 1.3e-04 1.00e+00 1.664397316e+02 1.664444730e+02 1.0e-09 2.38
69 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400464e+02 1.664443138e+02 9.4e-10 2.42
70 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403297e+02 1.664441703e+02 8.5e-10 2.45
71 1.5e-06 8.3e-03 9.2e-05 1.00e+00 1.664405846e+02 1.664440411e+02 7.6e-10 2.48
72 1.3e-06 8.2e-03 8.3e-05 1.00e+00 1.664408138e+02 1.664439248e+02 6.9e-10 2.52
73 1.2e-06 8.2e-03 7.4e-05 1.00e+00 1.664410201e+02 1.664438200e+02 6.2e-10 2.55
74 1.1e-06 8.1e-03 6.7e-05 1.00e+00 1.664412057e+02 1.664437256e+02 5.6e-10 2.58
75 9.6e-07 8.1e-03 6.0e-05 1.00e+00 1.664413726e+02 1.664436406e+02 5.0e-10 2.62
76 8.7e-07 8.0e-03 5.4e-05 1.00e+00 1.664415228e+02 1.664435640e+02 4.5e-10 2.65
77 7.8e-07 8.0e-03 4.9e-05 1.00e+00 1.664416579e+02 1.664434950e+02 4.1e-10 2.68
78 7.0e-07 8.0e-03 4.4e-05 1.00e+00 1.664417795e+02 1.664434329e+02 3.6e-10 2.72
79 6.3e-07 7.9e-03 4.0e-05 1.00e+00 1.664418889e+02 1.664433769e+02 3.3e-10 2.75
80 5.7e-07 7.9e-03 3.6e-05 1.00e+00 1.664419873e+02 1.664433265e+02 3.0e-10 2.78
81 5.1e-07 7.9e-03 3.2e-05 1.00e+00 1.664420757e+02 1.664432811e+02 2.7e-10 2.82
82 4.6e-07 7.8e-03 2.9e-05 1.00e+00 1.664421554e+02 1.664432401e+02 2.4e-10 2.85
83 4.1e-07 7.8e-03 2.6e-05 1.00e+00 1.664422270e+02 1.664432033e+02 2.2e-10 2.88
84 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422914e+02 1.664431701e+02 1.9e-10 2.92
85 3.4e-07 7.8e-03 2.1e-05 9.99e-01 1.664423494e+02 1.664431402e+02 1.7e-10 2.95
86 3.0e-07 7.7e-03 1.9e-05 1.00e+00 1.664424015e+02 1.664431133e+02 1.6e-10 2.98
87 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424485e+02 1.664430890e+02 1.4e-10 3.02
88 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424907e+02 1.664430672e+02 1.3e-10 3.05
89 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.664425287e+02 1.664430476e+02 1.1e-10 3.08
90 2.0e-07 7.7e-03 1.2e-05 1.00e+00 1.664425629e+02 1.664430299e+02 1.0e-10 3.12
91 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425937e+02 1.664430140e+02 9.3e-11 3.15
92 1.6e-07 7.6e-03 1.0e-05 1.00e+00 1.664426214e+02 1.664429997e+02 8.3e-11 3.19
93 1.4e-07 7.6e-03 9.0e-06 1.00e+00 1.664426464e+02 1.664429868e+02 7.5e-11 3.22
94 1.3e-07 7.6e-03 8.1e-06 9.98e-01 1.664426688e+02 1.664429752e+02 6.8e-11 3.25
95 1.2e-07 7.6e-03 7.3e-06 1.00e+00 1.664426890e+02 1.664429648e+02 6.1e-11 3.29
96 1.1e-07 7.6e-03 6.6e-06 1.00e+00 1.664427072e+02 1.664429554e+02 5.5e-11 3.32
97 9.5e-08 7.6e-03 5.9e-06 1.00e+00 1.664427236e+02 1.664429469e+02 4.9e-11 3.35
98 8.5e-08 7.5e-03 5.3e-06 9.95e-01 1.664427383e+02 1.664429394e+02 4.4e-11 3.39
99 7.7e-08 6.8e-03 4.8e-06 1.01e+00 1.664427518e+02 1.664429324e+02 4.0e-11 3.42
100 6.9e-08 6.1e-03 4.3e-06 9.97e-01 1.664427637e+02 1.664429262e+02 3.6e-11 3.46
101 6.2e-08 5.5e-03 3.9e-06 9.99e-01 1.664427744e+02 1.664429207e+02 3.2e-11 3.49
102 5.6e-08 4.9e-03 3.5e-06 9.98e-01 1.664427840e+02 1.664429157e+02 2.9e-11 3.52
103 5.0e-08 4.5e-03 3.2e-06 1.00e+00 1.664427927e+02 1.664429113e+02 2.6e-11 3.56
104 4.5e-08 4.0e-03 2.8e-06 1.00e+00 1.664428006e+02 1.664429072e+02 2.4e-11 3.59
105 4.1e-08 3.6e-03 2.6e-06 1.01e+00 1.664428079e+02 1.664429033e+02 2.1e-11 3.63
106 3.7e-08 3.2e-03 2.3e-06 1.01e+00 1.664428144e+02 1.664429000e+02 1.9e-11 3.66
107 3.3e-08 2.9e-03 2.1e-06 9.95e-01 1.664428201e+02 1.664428971e+02 1.7e-11 3.70
108 3.0e-08 2.6e-03 1.9e-06 1.01e+00 1.664428253e+02 1.664428943e+02 1.6e-11 3.73
109 2.7e-08 2.4e-03 1.7e-06 1.01e+00 1.664428299e+02 1.664428920e+02 1.4e-11 3.76
110 2.4e-08 2.1e-03 1.5e-06 9.97e-01 1.664428340e+02 1.664428899e+02 1.3e-11 3.80
111 2.2e-08 1.9e-03 1.4e-06 9.98e-01 1.664428377e+02 1.664428880e+02 1.1e-11 3.83
112 2.0e-08 1.7e-03 1.2e-06 9.83e-01 1.664428410e+02 1.664428863e+02 1.0e-11 3.87
113 1.8e-08 1.6e-03 1.1e-06 9.55e-01 1.664428440e+02 1.664428848e+02 9.3e-12 3.90
114 1.6e-08 1.4e-03 9.9e-07 1.07e+00 1.664428475e+02 1.664428828e+02 8.6e-12 3.94
115 1.4e-08 1.3e-03 8.9e-07 9.70e-01 1.664428498e+02 1.664428816e+02 7.8e-12 3.97
116 1.3e-08 1.1e-03 8.0e-07 1.08e+00 1.664428528e+02 1.664428800e+02 7.3e-12 4.00
117 1.2e-08 1.0e-03 7.2e-07 1.05e+00 1.664428549e+02 1.664428788e+02 6.7e-12 4.03
118 1.1e-08 9.2e-04 6.5e-07 8.13e-01 1.664428566e+02 1.664428780e+02 6.0e-12 4.06
119 9.5e-09 8.2e-04 5.8e-07 8.52e-01 1.664428579e+02 1.664428774e+02 5.4e-12 4.10
120 8.5e-09 7.4e-04 5.3e-07 7.47e-01 1.664428592e+02 1.664428768e+02 4.9e-12 4.13
121 8.9e-09 6.7e-04 4.7e-07 1.08e+00 1.664428608e+02 1.664428759e+02 4.5e-12 4.17
122 8.0e-09 6.0e-04 4.3e-07 1.06e+00 1.664428621e+02 1.664428752e+02 4.2e-12 4.20
123 1.2e-08 5.4e-04 3.8e-07 2.24e+00 1.664428626e+02 1.664428759e+02 3.8e-12 4.23
124 1.3e-08 5.0e-04 3.5e-07 4.04e+00 1.664428635e+02 1.664428743e+02 3.4e-12 4.27
125 1.4e-08 4.5e-04 3.2e-07 7.17e-01 1.664428641e+02 1.664428743e+02 3.0e-12 4.30
126 1.1e-08 4.0e-04 2.9e-07 1.78e+00 1.664428648e+02 1.664428741e+02 2.7e-12 4.33
127 1.1e-08 3.6e-04 2.6e-07 1.68e+00 1.664428654e+02 1.664428736e+02 2.5e-12 4.37
128 8.7e-09 3.3e-04 2.3e-07 2.36e+00 1.664428661e+02 1.664428729e+02 2.2e-12 4.40
129 1.2e-08 2.9e-04 2.1e-07 9.07e-01 1.664428665e+02 1.664428728e+02 2.0e-12 4.44
130 1.1e-08 2.6e-04 1.9e-07 8.20e-01 1.664428670e+02 1.664428726e+02 1.8e-12 4.47
131 1.1e-08 2.4e-04 1.7e-07 1.21e+00 1.664428678e+02 1.664428721e+02 1.8e-12 4.50
132 9.1e-09 2.1e-04 1.5e-07 1.90e+00 1.664428679e+02 1.664428724e+02 1.6e-12 4.54
133 6.2e-09 1.9e-04 1.4e-07 5.37e-01 1.664428680e+02 1.664428727e+02 1.4e-12 4.56
134 5.9e-09 1.7e-04 1.2e-07 5.15e-01 1.664428683e+02 1.664428727e+02 1.3e-12 4.60
135 5.6e-09 1.6e-04 1.1e-07 1.03e+00 1.664428686e+02 1.664428723e+02 1.1e-12 4.63
136 8.0e-09 1.5e-04 1.1e-07 1.73e+01 1.664428685e+02 1.664428729e+02 1.1e-12 4.66
137 8.1e-09 1.4e-04 9.8e-08 1.18e+00 1.664428689e+02 1.664428724e+02 1.1e-12 4.69
138 7.2e-09 1.2e-04 8.8e-08 4.22e-01 1.664428691e+02 1.664428721e+02 9.6e-13 4.72
Interior-point optimizer terminated. Time: 4.73.
Optimizer terminated. Time: 4.75
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286913e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6644287206e+02 Viol. con: 0e+00 var: 8e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.77 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
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 : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3453 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 : 1.50e+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 -1.286065433e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264430686e+05 3.560331333e+00 4.8e-01 0.10
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201901394e+05 1.023710203e+01 1.8e-01 0.13
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154934756e+05 6.447280589e+01 1.2e-01 0.16
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.128470951e+05 2.299729132e+03 1.2e-01 0.19
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.454806998e+04 9.751136964e+03 3.3e-02 0.23
6 3.0e+01 3.9e+01 1.7e+03 -1.92e-01 -4.044519534e+04 1.032159590e+04 1.3e-02 0.26
7 1.8e+01 2.3e+01 1.0e+03 3.95e-01 -2.709815507e+04 6.726725626e+03 7.9e-03 0.29
8 9.6e+00 1.2e+01 5.3e+02 6.31e-01 -1.536831428e+04 3.868717801e+03 4.2e-03 0.33
9 3.6e+00 4.6e+00 2.0e+02 8.17e-01 -5.859998085e+03 1.801380742e+03 1.6e-03 0.36
10 2.0e+00 2.6e+00 1.1e+02 9.48e-01 -3.087474762e+03 1.198963241e+03 8.8e-04 0.39
11 8.5e-01 1.1e+00 4.8e+01 9.81e-01 -1.234100474e+03 6.213284910e+02 3.8e-04 0.42
12 8.2e-01 1.1e+00 4.6e+01 9.53e-01 -1.214658503e+03 5.968284863e+02 3.7e-04 0.46
13 5.1e-01 6.6e-01 2.9e+01 9.71e-01 -7.061184971e+02 4.306351914e+02 2.3e-04 0.49
14 3.1e-01 4.1e-01 1.7e+01 1.00e+00 -3.440463672e+02 3.401563663e+02 1.4e-04 0.53
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.609234591e+01 2.147720283e+02 4.9e-05 0.56
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.173576393e+01 2.053809998e+02 3.8e-05 0.60
17 4.1e-02 8.6e-02 2.4e+00 1.02e+00 9.596079485e+01 1.869205898e+02 1.9e-05 0.63
18 1.4e-02 8.5e-02 8.1e-01 1.02e+00 1.429814472e+02 1.741342800e+02 6.5e-06 0.66
19 5.9e-03 7.3e-02 3.4e-01 1.01e+00 1.562833696e+02 1.694760590e+02 2.8e-06 0.70
20 1.5e-03 1.5e-01 9.1e-02 1.01e+00 1.639169447e+02 1.673755912e+02 7.3e-07 0.73
21 7.3e-04 1.0e-01 4.5e-02 9.83e-01 1.651837163e+02 1.668992971e+02 3.7e-07 0.76
22 2.3e-04 1.1e-01 1.5e-02 9.96e-01 1.660253685e+02 1.665879325e+02 1.2e-07 0.79
23 1.1e-04 8.7e-02 7.1e-03 1.01e+00 1.662345778e+02 1.665014938e+02 5.9e-08 0.82
24 5.4e-05 7.5e-02 3.5e-03 1.01e+00 1.663291690e+02 1.664619484e+02 3.0e-08 0.86
25 4.9e-05 6.8e-02 3.2e-03 1.01e+00 1.663399784e+02 1.664595566e+02 2.7e-08 0.89
26 4.4e-05 6.2e-02 2.9e-03 1.01e+00 1.663482171e+02 1.664557983e+02 2.4e-08 0.92
27 3.9e-05 5.7e-02 2.6e-03 1.01e+00 1.663557313e+02 1.664525322e+02 2.2e-08 0.95
28 3.5e-05 5.2e-02 2.3e-03 1.01e+00 1.663624524e+02 1.664495534e+02 1.9e-08 0.98
29 3.2e-05 4.7e-02 2.1e-03 1.01e+00 1.663684909e+02 1.664468658e+02 1.7e-08 1.01
30 2.9e-05 4.3e-02 1.9e-03 1.01e+00 1.663739134e+02 1.664444378e+02 1.6e-08 1.03
31 2.6e-05 4.0e-02 1.7e-03 1.00e+00 1.663787839e+02 1.664422453e+02 1.4e-08 1.06
32 2.3e-05 3.7e-02 1.5e-03 1.00e+00 1.663831590e+02 1.664402656e+02 1.3e-08 1.09
33 2.1e-05 3.4e-02 1.4e-03 1.00e+00 1.663870893e+02 1.664384782e+02 1.1e-08 1.11
34 1.9e-05 3.1e-02 1.2e-03 1.00e+00 1.663906203e+02 1.664368647e+02 1.0e-08 1.14
35 1.7e-05 2.9e-02 1.1e-03 1.00e+00 1.663937929e+02 1.664354082e+02 9.3e-09 1.17
36 1.5e-05 2.7e-02 9.9e-04 1.00e+00 1.663966436e+02 1.664340936e+02 8.4e-09 1.20
37 1.4e-05 2.5e-02 9.0e-04 1.00e+00 1.663992053e+02 1.664329073e+02 7.5e-09 1.22
38 1.2e-05 2.3e-02 8.1e-04 1.00e+00 1.664015074e+02 1.664318369e+02 6.8e-09 1.25
39 1.1e-05 2.2e-02 7.3e-04 1.00e+00 1.664035765e+02 1.664308710e+02 6.1e-09 1.28
40 1.0e-05 2.0e-02 6.5e-04 1.00e+00 1.664054361e+02 1.664299997e+02 5.5e-09 1.30
41 9.0e-06 1.9e-02 5.9e-04 1.00e+00 1.664071078e+02 1.664292138e+02 4.9e-09 1.33
42 8.1e-06 1.8e-02 5.3e-04 1.00e+00 1.664086105e+02 1.664285049e+02 4.4e-09 1.36
43 7.3e-06 1.7e-02 4.8e-04 1.00e+00 1.664099614e+02 1.664278656e+02 4.0e-09 1.38
44 6.6e-06 1.6e-02 4.3e-04 1.00e+00 1.664111759e+02 1.664272891e+02 3.6e-09 1.41
45 5.9e-06 1.5e-02 3.9e-04 1.00e+00 1.664122680e+02 1.664267694e+02 3.2e-09 1.44
46 5.3e-06 1.5e-02 3.5e-04 1.00e+00 1.664132499e+02 1.664263008e+02 2.9e-09 1.47
47 4.8e-06 1.4e-02 3.1e-04 1.00e+00 1.664141329e+02 1.664258784e+02 2.6e-09 1.49
48 4.3e-06 1.3e-02 2.8e-04 1.00e+00 1.664149269e+02 1.664254976e+02 2.4e-09 1.53
49 3.9e-06 1.3e-02 2.5e-04 1.00e+00 1.664156409e+02 1.664251543e+02 2.1e-09 1.56
50 3.5e-06 1.2e-02 2.3e-04 1.00e+00 1.664162829e+02 1.664248449e+02 1.9e-09 1.59
51 3.1e-06 1.2e-02 2.0e-04 1.00e+00 1.664168603e+02 1.664245660e+02 1.7e-09 1.63
52 2.8e-06 1.1e-02 1.8e-04 1.00e+00 1.664173796e+02 1.664243146e+02 1.5e-09 1.65
53 2.5e-06 1.1e-02 1.7e-04 1.00e+00 1.664178467e+02 1.664240881e+02 1.4e-09 1.68
54 2.3e-06 1.1e-02 1.5e-04 1.00e+00 1.664182668e+02 1.664238840e+02 1.3e-09 1.72
55 2.1e-06 1.1e-02 1.3e-04 1.00e+00 1.664186447e+02 1.664237002e+02 1.1e-09 1.75
56 1.9e-06 1.0e-02 1.2e-04 1.00e+00 1.664189847e+02 1.664235346e+02 1.0e-09 1.78
57 1.7e-06 1.0e-02 1.1e-04 1.00e+00 1.664192906e+02 1.664233855e+02 9.2e-10 1.81
58 1.5e-06 9.8e-03 9.8e-05 1.00e+00 1.664195658e+02 1.664232511e+02 8.2e-10 1.84
59 1.4e-06 9.6e-03 8.8e-05 1.00e+00 1.664198134e+02 1.664231302e+02 7.4e-10 1.88
60 1.2e-06 9.4e-03 7.9e-05 1.00e+00 1.664200361e+02 1.664230212e+02 6.7e-10 1.91
61 1.1e-06 9.3e-03 7.1e-05 1.00e+00 1.664202365e+02 1.664229231e+02 6.0e-10 1.94
62 9.9e-07 9.1e-03 6.4e-05 1.00e+00 1.664204168e+02 1.664228348e+02 5.4e-10 1.97
63 8.9e-07 9.0e-03 5.8e-05 1.00e+00 1.664205790e+02 1.664227552e+02 4.9e-10 2.00
64 8.0e-07 8.9e-03 5.2e-05 1.00e+00 1.664207250e+02 1.664226835e+02 4.4e-10 2.03
65 7.2e-07 8.8e-03 4.7e-05 1.00e+00 1.664208563e+02 1.664226189e+02 3.9e-10 2.06
66 6.5e-07 8.7e-03 4.2e-05 1.00e+00 1.664209744e+02 1.664225608e+02 3.5e-10 2.09
67 5.8e-07 8.6e-03 3.8e-05 1.00e+00 1.664210806e+02 1.664225084e+02 3.2e-10 2.12
68 5.2e-07 8.5e-03 3.4e-05 1.00e+00 1.664211762e+02 1.664224612e+02 2.9e-10 2.15
69 4.7e-07 8.4e-03 3.1e-05 1.00e+00 1.664212622e+02 1.664224187e+02 2.6e-10 2.18
70 4.2e-07 8.3e-03 2.8e-05 1.00e+00 1.664213395e+02 1.664223804e+02 2.3e-10 2.21
71 3.8e-07 8.3e-03 2.5e-05 1.00e+00 1.664214091e+02 1.664223459e+02 2.1e-10 2.24
72 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664214717e+02 1.664223148e+02 1.9e-10 2.27
73 3.1e-07 8.2e-03 2.0e-05 1.00e+00 1.664215280e+02 1.664222868e+02 1.7e-10 2.31
74 2.8e-07 8.1e-03 1.8e-05 9.98e-01 1.664215786e+02 1.664222616e+02 1.5e-10 2.34
75 2.5e-07 8.0e-03 1.6e-05 9.99e-01 1.664216242e+02 1.664222389e+02 1.4e-10 2.37
76 2.3e-07 8.0e-03 1.5e-05 9.98e-01 1.664216652e+02 1.664222185e+02 1.2e-10 2.42
77 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664217021e+02 1.664222000e+02 1.1e-10 2.46
78 1.8e-07 7.9e-03 1.2e-05 1.00e+00 1.664217354e+02 1.664221835e+02 1.0e-10 2.49
79 1.6e-07 7.9e-03 1.1e-05 1.00e+00 1.664217652e+02 1.664221685e+02 9.0e-11 2.52
80 1.5e-07 7.9e-03 9.7e-06 1.00e+00 1.664217921e+02 1.664221551e+02 8.1e-11 2.55
81 1.3e-07 7.8e-03 8.7e-06 1.00e+00 1.664218164e+02 1.664221430e+02 7.3e-11 2.58
82 1.2e-07 7.8e-03 7.8e-06 1.00e+00 1.664218381e+02 1.664221321e+02 6.6e-11 2.62
83 1.1e-07 7.8e-03 7.0e-06 1.00e+00 1.664218577e+02 1.664221223e+02 5.9e-11 2.65
84 9.7e-08 7.8e-03 6.3e-06 1.00e+00 1.664218755e+02 1.664221134e+02 5.3e-11 2.69
85 8.7e-08 7.8e-03 5.7e-06 1.00e+00 1.664218915e+02 1.664221054e+02 4.8e-11 2.72
86 7.9e-08 7.0e-03 5.1e-06 1.01e+00 1.664219062e+02 1.664220980e+02 4.3e-11 2.76
87 7.1e-08 6.3e-03 4.6e-06 1.00e+00 1.664219190e+02 1.664220916e+02 3.9e-11 2.79
88 6.4e-08 5.7e-03 4.2e-06 9.95e-01 1.664219305e+02 1.664220858e+02 3.5e-11 2.83
89 5.7e-08 5.1e-03 3.7e-06 1.00e+00 1.664219409e+02 1.664220806e+02 3.2e-11 2.86
90 5.2e-08 4.6e-03 3.4e-06 9.97e-01 1.664219502e+02 1.664220760e+02 2.8e-11 2.90
91 4.6e-08 4.1e-03 3.0e-06 1.01e+00 1.664219589e+02 1.664220716e+02 2.6e-11 2.93
92 4.2e-08 3.7e-03 2.7e-06 9.87e-01 1.664219664e+02 1.664220679e+02 2.3e-11 2.96
93 3.8e-08 3.4e-03 2.5e-06 9.87e-01 1.664219731e+02 1.664220646e+02 2.1e-11 2.99
94 3.4e-08 3.0e-03 2.2e-06 9.88e-01 1.664219792e+02 1.664220616e+02 1.9e-11 3.03
95 3.0e-08 2.7e-03 2.0e-06 1.03e+00 1.664219855e+02 1.664220584e+02 1.7e-11 3.06
96 2.7e-08 2.4e-03 1.8e-06 1.00e+00 1.664219903e+02 1.664220559e+02 1.5e-11 3.09
97 2.5e-08 2.2e-03 1.6e-06 1.02e+00 1.664219950e+02 1.664220535e+02 1.4e-11 3.13
98 2.2e-08 2.0e-03 1.5e-06 1.03e+00 1.664219994e+02 1.664220513e+02 1.3e-11 3.16
99 2.0e-08 1.8e-03 1.3e-06 9.88e-01 1.664220028e+02 1.664220496e+02 1.1e-11 3.19
100 1.8e-08 1.6e-03 1.2e-06 9.37e-01 1.664220059e+02 1.664220482e+02 1.0e-11 3.22
101 1.6e-08 1.4e-03 1.1e-06 9.59e-01 1.664220087e+02 1.664220468e+02 9.3e-12 3.26
102 1.5e-08 1.3e-03 9.5e-07 1.03e+00 1.664220116e+02 1.664220453e+02 8.5e-12 3.29
103 1.3e-08 1.2e-03 8.6e-07 1.06e+00 1.664220145e+02 1.664220438e+02 7.9e-12 3.32
104 1.2e-08 1.1e-03 7.7e-07 1.03e+00 1.664220168e+02 1.664220426e+02 7.2e-12 3.36
105 1.1e-08 9.5e-04 6.9e-07 9.99e-01 1.664220185e+02 1.664220418e+02 6.5e-12 3.39
106 9.6e-09 8.5e-04 6.2e-07 1.03e+00 1.664220202e+02 1.664220409e+02 5.9e-12 3.42
107 8.7e-09 7.7e-04 5.6e-07 9.36e-01 1.664220216e+02 1.664220402e+02 5.3e-12 3.46
108 7.8e-09 6.9e-04 5.1e-07 9.72e-01 1.664220228e+02 1.664220396e+02 4.8e-12 3.49
109 7.1e-09 6.2e-04 4.6e-07 1.04e+00 1.664220242e+02 1.664220390e+02 4.4e-12 3.52
110 6.4e-09 5.6e-04 4.1e-07 9.83e-01 1.664220252e+02 1.664220385e+02 4.0e-12 3.56
111 5.8e-09 5.0e-04 3.7e-07 9.76e-01 1.664220261e+02 1.664220380e+02 3.6e-12 3.59
112 5.2e-09 4.5e-04 3.3e-07 9.94e-01 1.664220269e+02 1.664220376e+02 3.2e-12 3.62
113 4.8e-09 4.1e-04 3.0e-07 9.22e-01 1.664220276e+02 1.664220373e+02 2.9e-12 3.65
114 4.3e-09 3.7e-04 2.7e-07 9.18e-01 1.664220282e+02 1.664220370e+02 2.6e-12 3.69
115 3.9e-09 3.3e-04 2.4e-07 9.29e-01 1.664220288e+02 1.664220367e+02 2.3e-12 3.72
116 3.6e-09 3.0e-04 2.2e-07 1.16e+00 1.664220297e+02 1.664220362e+02 2.3e-12 3.76
117 1.4e-09 1.7e-05 1.2e-08 9.46e-01 1.664220339e+02 1.664220342e+02 1.8e-13 3.80
Interior-point optimizer terminated. Time: 3.80.
Optimizer terminated. Time: 3.82
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203387e+02 Viol. con: 4e-08 var: 0e+00
Dual. obj: 1.6642203425e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.84 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
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 : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3453 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 : 1.50e+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 -1.286056958e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264419965e+05 3.560121024e+00 4.8e-01 0.11
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.201704455e+05 1.025024579e+01 1.8e-01 0.14
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154695684e+05 6.471593417e+01 1.2e-01 0.17
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.128250825e+05 2.298174370e+03 1.2e-01 0.20
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.433524489e+04 9.779645220e+03 3.3e-02 0.23
6 3.0e+01 3.9e+01 1.7e+03 -1.89e-01 -4.033414961e+04 1.028459183e+04 1.3e-02 0.27
7 1.8e+01 2.3e+01 1.0e+03 3.97e-01 -2.709320591e+04 6.722344883e+03 7.9e-03 0.30
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.525036127e+04 3.846201211e+03 4.2e-03 0.33
9 3.2e+00 4.2e+00 1.8e+02 8.18e-01 -5.232973183e+03 1.674989612e+03 1.4e-03 0.35
10 1.6e+00 2.0e+00 8.9e+01 9.56e-01 -2.390231337e+03 1.063631683e+03 7.1e-04 0.38
11 1.0e+00 1.3e+00 5.7e+01 9.86e-01 -1.466265063e+03 7.475071484e+02 4.5e-04 0.41
12 8.8e-01 1.1e+00 4.9e+01 9.70e-01 -1.288874031e+03 6.622275116e+02 3.9e-04 0.44
13 4.9e-01 6.3e-01 2.7e+01 9.78e-01 -6.563191009e+02 4.323219071e+02 2.2e-04 0.47
14 2.7e-01 3.6e-01 1.5e+01 1.00e+00 -2.904783552e+02 3.188311771e+02 1.2e-04 0.50
15 9.8e-02 1.5e-01 5.6e+00 9.99e-01 -1.147164894e+01 2.095869760e+02 4.5e-05 0.53
16 8.0e-02 1.2e-01 4.6e+00 1.02e+00 2.727050959e+01 2.073896503e+02 3.7e-05 0.57
17 6.4e-02 9.6e-02 3.6e+00 1.02e+00 5.585269924e+01 1.980640373e+02 2.9e-05 0.59
18 1.9e-02 8.9e-02 1.1e+00 1.02e+00 1.333641488e+02 1.765179302e+02 9.0e-06 0.63
19 6.2e-03 1.9e-01 3.6e-01 1.02e+00 1.561706934e+02 1.700461897e+02 2.9e-06 0.66
20 3.4e-03 2.2e-01 2.0e-01 1.01e+00 1.606058694e+02 1.683292473e+02 1.6e-06 0.69
21 1.0e-03 1.4e-01 6.1e-02 1.01e+00 1.647156862e+02 1.670479723e+02 5.0e-07 0.72
22 7.2e-04 1.1e-01 4.4e-02 9.90e-01 1.651969739e+02 1.668797166e+02 3.6e-07 0.75
23 2.1e-04 1.1e-01 1.3e-02 9.87e-01 1.660532800e+02 1.665562441e+02 1.1e-07 0.78
24 9.9e-05 9.0e-02 6.4e-03 1.01e+00 1.662388682e+02 1.664809845e+02 5.3e-08 0.81
25 4.0e-05 8.7e-02 2.6e-03 1.01e+00 1.663396754e+02 1.664378273e+02 2.2e-08 0.84
26 3.6e-05 8.0e-02 2.3e-03 1.01e+00 1.663476179e+02 1.664359897e+02 2.0e-08 0.88
27 3.2e-05 7.3e-02 2.1e-03 1.01e+00 1.663536533e+02 1.664331601e+02 1.8e-08 0.91
28 2.9e-05 6.6e-02 1.9e-03 1.01e+00 1.663591779e+02 1.664307160e+02 1.6e-08 0.94
29 2.6e-05 6.0e-02 1.7e-03 1.01e+00 1.663641249e+02 1.664284938e+02 1.4e-08 0.97
30 2.4e-05 5.5e-02 1.5e-03 1.01e+00 1.663685706e+02 1.664264900e+02 1.3e-08 1.00
31 2.1e-05 5.0e-02 1.4e-03 1.01e+00 1.663725638e+02 1.664246810e+02 1.2e-08 1.03
32 1.9e-05 4.6e-02 1.2e-03 1.00e+00 1.663761514e+02 1.664230484e+02 1.0e-08 1.06
33 1.7e-05 4.2e-02 1.1e-03 1.00e+00 1.663793747e+02 1.664215750e+02 9.4e-09 1.09
34 1.5e-05 3.9e-02 1.0e-03 1.00e+00 1.663822710e+02 1.664202455e+02 8.5e-09 1.12
35 1.4e-05 3.6e-02 9.1e-04 1.00e+00 1.663848737e+02 1.664190461e+02 7.6e-09 1.15
36 1.3e-05 3.3e-02 8.2e-04 1.00e+00 1.663872127e+02 1.664179640e+02 6.9e-09 1.18
37 1.1e-05 3.0e-02 7.3e-04 1.00e+00 1.663893149e+02 1.664169880e+02 6.2e-09 1.22
38 1.0e-05 2.8e-02 6.6e-04 1.00e+00 1.663912044e+02 1.664161077e+02 5.6e-09 1.24
39 9.1e-06 2.6e-02 5.9e-04 1.00e+00 1.663929029e+02 1.664153138e+02 5.0e-09 1.27
40 8.2e-06 2.4e-02 5.4e-04 1.00e+00 1.663944298e+02 1.664145980e+02 4.5e-09 1.31
41 7.4e-06 2.3e-02 4.8e-04 1.00e+00 1.663958026e+02 1.664139526e+02 4.0e-09 1.34
42 6.7e-06 2.1e-02 4.3e-04 1.00e+00 1.663970368e+02 1.664133708e+02 3.6e-09 1.37
43 6.0e-06 2.0e-02 3.9e-04 1.00e+00 1.663981466e+02 1.664128463e+02 3.3e-09 1.40
44 5.4e-06 1.9e-02 3.5e-04 1.00e+00 1.663991445e+02 1.664123736e+02 3.0e-09 1.43
45 4.9e-06 1.8e-02 3.2e-04 1.00e+00 1.664000419e+02 1.664119475e+02 2.7e-09 1.47
46 4.4e-06 1.7e-02 2.8e-04 1.00e+00 1.664008489e+02 1.664115635e+02 2.4e-09 1.50
47 3.9e-06 1.6e-02 2.6e-04 1.00e+00 1.664015746e+02 1.664112174e+02 2.2e-09 1.54
48 3.5e-06 1.5e-02 2.3e-04 1.00e+00 1.664022272e+02 1.664109055e+02 1.9e-09 1.57
49 3.2e-06 1.4e-02 2.1e-04 1.00e+00 1.664028141e+02 1.664106243e+02 1.7e-09 1.61
50 2.9e-06 1.4e-02 1.9e-04 1.00e+00 1.664033419e+02 1.664103709e+02 1.6e-09 1.64
51 2.6e-06 1.3e-02 1.7e-04 1.00e+00 1.664038167e+02 1.664101426e+02 1.4e-09 1.68
52 2.3e-06 1.3e-02 1.5e-04 1.00e+00 1.664042437e+02 1.664099370e+02 1.3e-09 1.71
53 2.1e-06 1.2e-02 1.4e-04 1.00e+00 1.664046279e+02 1.664097518e+02 1.1e-09 1.75
54 1.9e-06 1.2e-02 1.2e-04 1.00e+00 1.664049735e+02 1.664095849e+02 1.0e-09 1.78
55 1.7e-06 1.1e-02 1.1e-04 1.00e+00 1.664052845e+02 1.664094347e+02 9.3e-10 1.81
56 1.5e-06 1.1e-02 9.9e-05 1.00e+00 1.664055642e+02 1.664092994e+02 8.3e-10 1.85
57 1.4e-06 1.1e-02 8.9e-05 1.00e+00 1.664058159e+02 1.664091775e+02 7.5e-10 1.88
58 1.2e-06 1.0e-02 8.0e-05 1.00e+00 1.664060424e+02 1.664090678e+02 6.8e-10 1.92
59 1.1e-06 1.0e-02 7.2e-05 1.00e+00 1.664062461e+02 1.664089690e+02 6.1e-10 1.95
60 1.0e-06 9.8e-03 6.5e-05 1.00e+00 1.664064294e+02 1.664088800e+02 5.5e-10 1.99
61 9.0e-07 9.6e-03 5.9e-05 1.00e+00 1.664065943e+02 1.664087999e+02 4.9e-10 2.02
62 8.1e-07 9.4e-03 5.3e-05 1.00e+00 1.664067427e+02 1.664087277e+02 4.4e-10 2.05
63 7.3e-07 9.2e-03 4.7e-05 1.00e+00 1.664068762e+02 1.664086626e+02 4.0e-10 2.09
64 6.6e-07 9.1e-03 4.3e-05 1.00e+00 1.664069963e+02 1.664086041e+02 3.6e-10 2.12
65 5.9e-07 8.9e-03 3.8e-05 1.00e+00 1.664071043e+02 1.664085513e+02 3.2e-10 2.16
66 5.3e-07 8.8e-03 3.5e-05 1.00e+00 1.664072015e+02 1.664085038e+02 2.9e-10 2.19
67 4.8e-07 8.7e-03 3.1e-05 1.00e+00 1.664072889e+02 1.664084610e+02 2.6e-10 2.22
68 4.3e-07 8.6e-03 2.8e-05 1.00e+00 1.664073675e+02 1.664084224e+02 2.4e-10 2.25
69 3.9e-07 8.5e-03 2.5e-05 1.00e+00 1.664074382e+02 1.664083877e+02 2.1e-10 2.29
70 3.5e-07 8.4e-03 2.3e-05 1.00e+00 1.664075019e+02 1.664083564e+02 1.9e-10 2.32
71 3.1e-07 8.3e-03 2.0e-05 1.00e+00 1.664075591e+02 1.664083282e+02 1.7e-10 2.36
72 2.8e-07 8.3e-03 1.8e-05 1.00e+00 1.664076106e+02 1.664083027e+02 1.5e-10 2.39
73 2.5e-07 8.2e-03 1.7e-05 1.00e+00 1.664076569e+02 1.664082799e+02 1.4e-10 2.42
74 2.3e-07 8.1e-03 1.5e-05 1.00e+00 1.664076986e+02 1.664082592e+02 1.3e-10 2.46
75 2.1e-07 8.1e-03 1.3e-05 1.00e+00 1.664077362e+02 1.664082407e+02 1.1e-10 2.49
76 1.9e-07 8.0e-03 1.2e-05 1.00e+00 1.664077699e+02 1.664082240e+02 1.0e-10 2.52
77 1.7e-07 8.0e-03 1.1e-05 9.99e-01 1.664078003e+02 1.664082089e+02 9.1e-11 2.56
78 1.5e-07 7.9e-03 9.8e-06 1.00e+00 1.664078276e+02 1.664081954e+02 8.2e-11 2.59
79 1.4e-07 7.9e-03 8.8e-06 1.00e+00 1.664078522e+02 1.664081832e+02 7.4e-11 2.62
80 1.2e-07 7.9e-03 7.9e-06 1.00e+00 1.664078744e+02 1.664081722e+02 6.7e-11 2.66
81 1.1e-07 7.8e-03 7.1e-06 1.00e+00 1.664078943e+02 1.664081623e+02 6.0e-11 2.73
82 9.9e-08 7.8e-03 6.4e-06 9.96e-01 1.664079123e+02 1.664081535e+02 5.4e-11 2.76
83 8.9e-08 7.8e-03 5.8e-06 1.00e+00 1.664079284e+02 1.664081455e+02 4.9e-11 2.79
84 8.0e-08 7.7e-03 5.2e-06 1.00e+00 1.664079429e+02 1.664081383e+02 4.4e-11 2.82
85 7.2e-08 7.7e-03 4.7e-06 9.91e-01 1.664079559e+02 1.664081318e+02 3.9e-11 2.85
86 6.5e-08 7.7e-03 4.2e-06 9.97e-01 1.664079677e+02 1.664081260e+02 3.5e-11 2.89
87 5.8e-08 7.6e-03 3.8e-06 9.94e-01 1.664079782e+02 1.664081208e+02 3.2e-11 2.92
88 5.2e-08 6.9e-03 3.4e-06 1.00e+00 1.664079878e+02 1.664081160e+02 2.9e-11 2.95
89 4.7e-08 6.2e-03 3.1e-06 9.96e-01 1.664079964e+02 1.664081118e+02 2.6e-11 2.98
90 4.2e-08 5.6e-03 2.8e-06 9.88e-01 1.664080041e+02 1.664081080e+02 2.3e-11 3.02
91 3.8e-08 5.0e-03 2.5e-06 9.98e-01 1.664080110e+02 1.664081045e+02 2.1e-11 3.05
92 3.4e-08 4.5e-03 2.2e-06 1.00e+00 1.664080173e+02 1.664081014e+02 1.9e-11 3.08
93 3.1e-08 4.1e-03 2.0e-06 9.72e-01 1.664080229e+02 1.664080986e+02 1.7e-11 3.11
94 2.8e-08 3.7e-03 1.8e-06 9.80e-01 1.664080279e+02 1.664080962e+02 1.5e-11 3.15
95 2.5e-08 3.3e-03 1.6e-06 9.87e-01 1.664080325e+02 1.664080939e+02 1.4e-11 3.18
96 2.3e-08 3.0e-03 1.5e-06 1.01e+00 1.664080366e+02 1.664080918e+02 1.2e-11 3.21
97 2.0e-08 2.7e-03 1.3e-06 9.75e-01 1.664080403e+02 1.664080900e+02 1.1e-11 3.25
98 1.8e-08 2.4e-03 1.2e-06 9.70e-01 1.664080436e+02 1.664080884e+02 1.0e-11 3.28
99 1.6e-08 2.2e-03 1.1e-06 9.98e-01 1.664080466e+02 1.664080869e+02 9.0e-12 3.32
100 1.5e-08 1.9e-03 9.6e-07 9.83e-01 1.664080492e+02 1.664080856e+02 8.1e-12 3.35
101 1.3e-08 1.7e-03 8.7e-07 9.94e-01 1.664080516e+02 1.664080844e+02 7.3e-12 3.39
102 1.2e-08 1.6e-03 7.8e-07 9.68e-01 1.664080538e+02 1.664080833e+02 6.6e-12 3.42
103 1.1e-08 1.4e-03 7.0e-07 1.17e+00 1.664080573e+02 1.664080812e+02 6.4e-12 3.45
104 9.8e-09 1.3e-03 6.3e-07 1.03e+00 1.664080591e+02 1.664080803e+02 5.9e-12 3.49
105 8.8e-09 1.1e-03 5.7e-07 1.04e+00 1.664080608e+02 1.664080795e+02 5.4e-12 3.52
106 8.1e-09 1.0e-03 5.1e-07 1.07e+00 1.664080625e+02 1.664080786e+02 5.0e-12 3.55
107 7.3e-09 9.3e-04 4.6e-07 9.13e-01 1.664080636e+02 1.664080781e+02 4.5e-12 3.58
108 6.6e-09 8.4e-04 4.1e-07 1.26e+00 1.664080646e+02 1.664080776e+02 4.1e-12 3.62
109 6.2e-09 7.5e-04 3.7e-07 8.32e-01 1.664080654e+02 1.664080772e+02 3.7e-12 3.66
110 5.8e-09 6.8e-04 3.4e-07 1.02e+00 1.664080663e+02 1.664080768e+02 3.3e-12 3.69
111 5.4e-09 6.1e-04 3.0e-07 1.30e+00 1.664080670e+02 1.664080764e+02 3.0e-12 3.73
112 5.4e-09 5.5e-04 2.7e-07 9.57e-01 1.664080677e+02 1.664080761e+02 2.7e-12 3.76
113 5.6e-09 4.9e-04 2.4e-07 1.06e+00 1.664080684e+02 1.664080757e+02 2.5e-12 3.79
114 4.9e-09 4.4e-04 2.2e-07 1.32e+00 1.664080689e+02 1.664080755e+02 2.3e-12 3.83
115 4.3e-09 4.0e-04 2.0e-07 9.91e-01 1.664080693e+02 1.664080753e+02 2.0e-12 3.87
116 4.0e-09 3.6e-04 1.8e-07 9.87e-01 1.664080697e+02 1.664080751e+02 1.8e-12 3.90
117 3.8e-09 3.2e-04 1.6e-07 1.15e+00 1.664080704e+02 1.664080747e+02 1.8e-12 3.93
118 3.6e-09 2.9e-04 1.4e-07 1.21e+00 1.664080709e+02 1.664080744e+02 1.8e-12 3.96
119 3.2e-09 2.6e-04 1.3e-07 9.40e-01 1.664080712e+02 1.664080743e+02 1.6e-12 4.00
120 3.0e-09 2.4e-04 1.2e-07 1.15e+00 1.664080716e+02 1.664080741e+02 1.5e-12 4.03
121 2.8e-09 2.1e-04 1.1e-07 1.22e+00 1.664080717e+02 1.664080740e+02 1.4e-12 4.07
122 2.6e-09 1.9e-04 9.5e-08 1.00e+00 1.664080719e+02 1.664080740e+02 1.2e-12 4.10
123 2.7e-09 3.7e-05 1.9e-08 8.93e-01 1.664080731e+02 1.664080735e+02 2.9e-13 4.14
Interior-point optimizer terminated. Time: 4.14.
Optimizer terminated. Time: 4.16
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807310e+02 Viol. con: 6e-08 var: 0e+00
Dual. obj: 1.6640807353e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.18 seconds.
Solving took 9 GP solves and 46.3 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: 1.4957407266639849e+110 vs 1.49570248903e+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: 3.7053390563825114e+72 vs 3.70521446658e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682634]
Total Aircraft Weight Percent Diff: [-21.48056364]
Engine Weight Percent Diff: -56.278271157444046
Fuselage Weight Percent Diff: -0.8697492809884315
Payload Weight Percent Diff: [-0.04003563]
VT Weight Percent Diff: -8.608029303216178
HT Weight Percent Diff: -93.23334220176736
Wing Weight Percent Diff: 8.267576513763581
WING DIFFERENCES
Wing Span Percent Diff: -0.029991938775747348
Wing Area Percent Diff: 32.89953894811752
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.488287484849046
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022356838097734
VT Area Percent Diff: -60.38685024318078
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54713085]
L/D Percent Diff: [24.01024721]
Nacelle Cd Percent Diff: [-94.27641754]
HT Cd Percent Diff: [-80.76943837] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00287432] dimensionless
Wing Cd percent Diff: [-14.22906195]
Induced Drag Cd Percent Diff: [1.21948339]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035826]
FUSELAGE DIFFERENCES
Weight of HB material: -38.36157925267248
Weight of VB material: 87.81320145706408
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260516]
Mission1
========
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission1.Aircraft.Wing.WingBox.N_{lift} = 3
Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/dum[:])^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}[:]/dum[:])^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 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 945
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 945
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 : 775
Optimizer - Cones : 0
Optimizer - Scalar variables : 3450 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.08 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+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 -1.281666983e+05 2.000000000e+00 1.0e+00 0.11
1 1.1e+03 1.4e+03 6.3e+04 -9.71e-01 -1.261218226e+05 3.598635511e+00 4.9e-01 0.26
2 4.2e+02 5.4e+02 2.3e+04 -9.38e-01 -1.196986776e+05 1.049612556e+01 1.8e-01 0.29
3 2.9e+02 3.7e+02 1.6e+04 -8.36e-01 -1.152517365e+05 6.526812103e+01 1.3e-01 0.32
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127868408e+05 2.118228548e+03 1.3e-01 0.35
5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.068799576e+04 8.526618424e+03 3.9e-02 0.38
6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.760458966e+04 1.028990388e+04 1.6e-02 0.42
7 2.1e+01 2.8e+01 1.2e+03 2.57e-01 -3.157726260e+04 7.236293748e+03 9.5e-03 0.45
8 9.4e+00 1.2e+01 5.3e+02 5.39e-01 -1.509593591e+04 4.206138280e+03 4.2e-03 0.48
9 5.5e+00 7.1e+00 3.1e+02 8.14e-01 -8.773768620e+03 2.846846543e+03 2.5e-03 0.51
10 1.4e+00 1.8e+00 7.7e+01 9.08e-01 -2.041784782e+03 9.404571849e+02 6.1e-04 0.55
11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.319589353e+02 7.263088852e+02 3.2e-04 0.58
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.792739518e+02 5.657797535e+02 2.2e-04 0.62
13 3.6e-01 7.9e-01 2.1e+01 9.79e-01 -3.146735073e+02 4.898416787e+02 1.6e-04 0.65
14 1.7e-01 3.8e-01 9.9e+00 9.96e-01 -1.839482231e+01 3.675794473e+02 7.9e-05 0.68
15 5.5e-02 1.6e-01 3.3e+00 9.95e-01 1.625345294e+02 2.906236598e+02 2.7e-05 0.71
16 3.2e-02 1.4e-01 1.9e+00 1.00e+00 1.998987374e+02 2.749101314e+02 1.6e-05 0.74
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.445645877e+02 2.572751647e+02 2.8e-06 0.77
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509515436e+02 2.547018908e+02 8.4e-07 0.81
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527847280e+02 2.540260964e+02 2.8e-07 0.85
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532886539e+02 2.538372319e+02 1.2e-07 0.89
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533297254e+02 2.538234601e+02 1.1e-07 0.92
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533655498e+02 2.538098865e+02 1.0e-07 0.96
23 1.5e-04 6.5e-02 1.0e-02 1.00e+00 2.533978341e+02 2.537977209e+02 9.0e-08 0.99
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534268639e+02 2.537867483e+02 8.1e-08 1.02
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534529723e+02 2.537768567e+02 7.3e-08 1.06
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534764526e+02 2.537679389e+02 6.6e-08 1.09
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534975715e+02 2.537599013e+02 5.9e-08 1.13
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535165675e+02 2.537526578e+02 5.3e-08 1.16
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535336549e+02 2.537461308e+02 4.8e-08 1.19
30 7.4e-05 3.5e-02 4.9e-03 1.00e+00 2.535490262e+02 2.537402502e+02 4.3e-08 1.23
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535628541e+02 2.537349522e+02 3.9e-08 1.26
32 6.0e-05 3.0e-02 4.0e-03 1.00e+00 2.535752940e+02 2.537301795e+02 3.5e-08 1.30
33 5.4e-05 2.7e-02 3.6e-03 1.00e+00 2.535864855e+02 2.537258803e+02 3.1e-08 1.33
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535965542e+02 2.537220077e+02 2.8e-08 1.37
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536056128e+02 2.537185196e+02 2.5e-08 1.41
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536137628e+02 2.537153779e+02 2.3e-08 1.44
37 3.5e-05 2.1e-02 2.4e-03 1.00e+00 2.536210956e+02 2.537125484e+02 2.1e-08 1.48
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276932e+02 2.537100000e+02 1.9e-08 1.52
39 2.9e-05 1.8e-02 1.9e-03 1.00e+00 2.536336294e+02 2.537077051e+02 1.7e-08 1.55
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389705e+02 2.537056383e+02 1.5e-08 1.58
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536437764e+02 2.537037772e+02 1.4e-08 1.62
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536481008e+02 2.537021013e+02 1.2e-08 1.67
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536519919e+02 2.537005922e+02 1.1e-08 1.70
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554932e+02 2.536992334e+02 9.9e-09 1.73
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586439e+02 2.536980100e+02 8.9e-09 1.76
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614790e+02 2.536969085e+02 8.0e-09 1.79
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536640303e+02 2.536959169e+02 7.2e-09 1.82
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536663262e+02 2.536950241e+02 6.5e-09 1.86
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536683922e+02 2.536942204e+02 5.8e-09 1.89
50 9.0e-06 1.1e-02 6.0e-04 1.00e+00 2.536702514e+02 2.536934968e+02 5.2e-09 1.92
51 8.1e-06 1.0e-02 5.4e-04 1.00e+00 2.536719246e+02 2.536928455e+02 4.7e-09 1.95
52 7.3e-06 1.0e-02 4.9e-04 1.00e+00 2.536734303e+02 2.536922591e+02 4.3e-09 1.98
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536747854e+02 2.536917313e+02 3.8e-09 2.02
54 5.9e-06 9.7e-03 3.9e-04 1.00e+00 2.536760048e+02 2.536912562e+02 3.4e-09 2.06
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536771022e+02 2.536908285e+02 3.1e-09 2.09
56 4.8e-06 9.2e-03 3.2e-04 1.00e+00 2.536780898e+02 2.536904435e+02 2.8e-09 2.12
57 4.3e-06 9.1e-03 2.9e-04 1.00e+00 2.536789786e+02 2.536900970e+02 2.5e-09 2.15
58 3.9e-06 8.9e-03 2.6e-04 1.00e+00 2.536797785e+02 2.536897850e+02 2.3e-09 2.18
59 3.5e-06 8.8e-03 2.3e-04 1.00e+00 2.536804983e+02 2.536895042e+02 2.0e-09 2.22
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811461e+02 2.536892515e+02 1.8e-09 2.25
61 1.2e-06 3.4e-03 8.2e-05 1.00e+00 2.536847023e+02 2.536878624e+02 7.1e-10 2.28
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849302e+02 2.536877743e+02 6.4e-10 2.32
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862404e+02 2.536872622e+02 2.3e-10 2.35
64 3.5e-07 9.8e-04 2.4e-05 1.00e+00 2.536863139e+02 2.536872335e+02 2.1e-10 2.38
65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863800e+02 2.536872076e+02 1.9e-10 2.42
66 2.9e-07 7.9e-04 1.9e-05 1.00e+00 2.536864395e+02 2.536871844e+02 1.7e-10 2.45
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864930e+02 2.536871634e+02 1.5e-10 2.48
68 2.3e-07 6.4e-04 1.6e-05 1.00e+00 2.536865412e+02 2.536871445e+02 1.4e-10 2.51
69 2.1e-07 5.8e-04 1.4e-05 1.00e+00 2.536865845e+02 2.536871276e+02 1.2e-10 2.55
70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866236e+02 2.536871123e+02 1.1e-10 2.58
71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866587e+02 2.536870985e+02 9.9e-11 2.61
72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866903e+02 2.536870861e+02 8.9e-11 2.64
73 1.4e-07 3.8e-04 9.2e-06 1.00e+00 2.536867187e+02 2.536870750e+02 8.0e-11 2.68
74 1.2e-07 3.4e-04 8.3e-06 1.00e+00 2.536867443e+02 2.536870650e+02 7.2e-11 2.71
75 1.1e-07 3.1e-04 7.4e-06 1.00e+00 2.536867674e+02 2.536870559e+02 6.5e-11 2.76
76 1.0e-07 2.8e-04 6.7e-06 1.00e+00 2.536867881e+02 2.536870478e+02 5.9e-11 2.79
77 9.0e-08 2.5e-04 6.0e-06 9.99e-01 2.536868068e+02 2.536870405e+02 5.3e-11 2.83
78 8.1e-08 2.2e-04 5.4e-06 1.00e+00 2.536868236e+02 2.536870339e+02 4.8e-11 2.86
79 7.3e-08 2.0e-04 4.9e-06 1.00e+00 2.536868387e+02 2.536870280e+02 4.3e-11 2.89
80 6.6e-08 1.8e-04 4.4e-06 1.00e+00 2.536868523e+02 2.536870227e+02 3.8e-11 2.93
81 5.9e-08 1.6e-04 4.0e-06 9.99e-01 2.536868645e+02 2.536870179e+02 3.5e-11 2.96
82 5.3e-08 1.5e-04 3.6e-06 1.00e+00 2.536868755e+02 2.536870135e+02 3.1e-11 2.99
83 4.8e-08 1.3e-04 3.2e-06 9.94e-01 2.536868854e+02 2.536870097e+02 2.8e-11 3.02
84 4.3e-08 1.2e-04 2.9e-06 9.96e-01 2.536868944e+02 2.536870062e+02 2.5e-11 3.05
85 3.9e-08 1.1e-04 2.6e-06 9.99e-01 2.536869024e+02 2.536870030e+02 2.3e-11 3.09
86 3.5e-08 9.6e-05 2.3e-06 1.01e+00 2.536869098e+02 2.536870001e+02 2.0e-11 3.12
87 3.1e-08 8.6e-05 2.1e-06 9.95e-01 2.536869162e+02 2.536869976e+02 1.8e-11 3.15
88 2.8e-08 7.8e-05 1.9e-06 9.98e-01 2.536869221e+02 2.536869953e+02 1.7e-11 3.19
89 2.5e-08 7.0e-05 1.7e-06 9.96e-01 2.536869273e+02 2.536869933e+02 1.5e-11 3.22
90 2.3e-08 6.3e-05 1.5e-06 9.96e-01 2.536869321e+02 2.536869914e+02 1.3e-11 3.25
91 2.1e-08 5.7e-05 1.4e-06 9.93e-01 2.536869363e+02 2.536869897e+02 1.2e-11 3.28
92 1.9e-08 5.1e-05 1.2e-06 9.97e-01 2.536869401e+02 2.536869882e+02 1.1e-11 3.32
93 1.7e-08 4.6e-05 1.1e-06 1.01e+00 2.536869437e+02 2.536869869e+02 9.8e-12 3.35
94 1.5e-08 4.1e-05 1.0e-06 1.00e+00 2.536869468e+02 2.536869856e+02 8.8e-12 3.38
95 1.3e-08 3.7e-05 9.1e-07 9.89e-01 2.536869495e+02 2.536869845e+02 8.0e-12 3.41
96 1.2e-08 3.4e-05 8.1e-07 1.01e+00 2.536869522e+02 2.536869835e+02 7.2e-12 3.45
97 1.1e-08 3.0e-05 7.3e-07 1.00e+00 2.536869544e+02 2.536869826e+02 6.5e-12 3.48
98 9.8e-09 2.7e-05 6.6e-07 9.91e-01 2.536869565e+02 2.536869818e+02 5.8e-12 3.51
Interior-point optimizer terminated. Time: 3.52.
Optimizer terminated. Time: 3.55
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695645e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698182e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.57 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
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 : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 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 : 1.65e+04 after factor : 1.50e+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 -1.282478222e+05 2.000000000e+00 1.0e+00 0.11
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.260309133e+05 3.765030465e+00 4.7e-01 0.14
2 4.6e+02 5.9e+02 2.6e+04 -9.35e-01 -1.206226199e+05 9.889101589e+00 2.0e-01 0.18
3 2.9e+02 3.7e+02 1.6e+04 -8.49e-01 -1.154649667e+05 5.287064956e+01 1.3e-01 0.21
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.133003651e+05 1.900915469e+03 1.3e-01 0.25
5 8.2e+01 1.1e+02 4.6e+03 -7.57e-01 -7.788392958e+04 9.190691816e+03 3.6e-02 0.28
6 3.6e+01 4.6e+01 2.0e+03 -2.50e-01 -4.647713266e+04 1.020087222e+04 1.6e-02 0.31
7 1.8e+01 2.4e+01 1.0e+03 2.81e-01 -2.766870085e+04 6.418304573e+03 8.1e-03 0.35
8 9.2e+00 1.2e+01 5.1e+02 6.08e-01 -1.469555390e+04 4.041871909e+03 4.1e-03 0.38
9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.070668248e+03 2.774702727e+03 2.5e-03 0.41
10 2.0e+00 2.5e+00 1.1e+02 9.04e-01 -3.094061941e+03 1.193657203e+03 8.8e-04 0.44
11 1.6e+00 2.1e+00 9.1e+01 9.74e-01 -2.466457341e+03 1.043401204e+03 7.2e-04 0.47
12 9.0e-01 1.3e+00 5.1e+01 9.76e-01 -1.308690257e+03 6.778787323e+02 4.0e-04 0.51
13 4.5e-01 6.9e-01 2.5e+01 9.85e-01 -5.549299147e+02 4.398443376e+02 2.0e-04 0.54
14 2.3e-01 3.6e-01 1.3e+01 9.98e-01 -1.980184044e+02 3.180837931e+02 1.1e-04 0.57
15 1.0e-01 1.7e-01 5.8e+00 1.00e+00 1.009292574e+01 2.372083403e+02 4.7e-05 0.60
16 5.1e-02 1.1e-01 2.9e+00 1.00e+00 9.056222022e+01 2.045814359e+02 2.4e-05 0.64
17 1.0e-02 1.5e-01 6.3e-01 1.00e+00 1.546595147e+02 1.792230598e+02 5.3e-06 0.67
18 6.3e-03 1.1e-01 3.9e-01 1.01e+00 1.614768359e+02 1.765369238e+02 3.2e-06 0.70
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.694450706e+02 1.735001825e+02 8.9e-07 0.74
20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717838482e+02 1.726276254e+02 1.9e-07 0.77
21 1.4e-04 1.1e-01 9.3e-03 9.93e-01 1.721423969e+02 1.725031081e+02 8.2e-08 0.80
22 8.9e-05 8.4e-02 5.9e-03 1.00e+00 1.722365069e+02 1.724653332e+02 5.2e-08 0.84
23 8.0e-05 7.8e-02 5.3e-03 1.00e+00 1.722544583e+02 1.724604742e+02 4.7e-08 0.87
24 7.2e-05 7.1e-02 4.8e-03 1.00e+00 1.722695531e+02 1.724549693e+02 4.2e-08 0.90
25 6.5e-05 6.5e-02 4.3e-03 1.00e+00 1.722831749e+02 1.724500487e+02 3.8e-08 0.94
26 5.8e-05 5.9e-02 3.9e-03 1.00e+00 1.722954057e+02 1.724455907e+02 3.4e-08 0.98
27 5.2e-05 5.4e-02 3.5e-03 1.00e+00 1.723064005e+02 1.724415654e+02 3.1e-08 1.01
28 4.7e-05 4.9e-02 3.2e-03 1.00e+00 1.723162809e+02 1.724379276e+02 2.8e-08 1.04
29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723251597e+02 1.724346402e+02 2.5e-08 1.08
30 3.8e-05 4.2e-02 2.6e-03 1.00e+00 1.723331385e+02 1.724316696e+02 2.2e-08 1.11
31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723403088e+02 1.724289856e+02 2.0e-08 1.14
32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723467531e+02 1.724265612e+02 1.8e-08 1.18
33 2.8e-05 3.3e-02 1.9e-03 1.00e+00 1.723525456e+02 1.724243720e+02 1.6e-08 1.21
34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723577527e+02 1.724223958e+02 1.5e-08 1.25
35 2.3e-05 2.8e-02 1.5e-03 1.00e+00 1.723624341e+02 1.724206124e+02 1.3e-08 1.28
36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723666434e+02 1.724190034e+02 1.2e-08 1.31
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723704283e+02 1.724175520e+02 1.1e-08 1.34
38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723738321e+02 1.724162431e+02 9.7e-09 1.38
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723768931e+02 1.724150629e+02 8.7e-09 1.41
40 1.3e-05 2.0e-02 8.9e-04 1.00e+00 1.723796461e+02 1.724139988e+02 7.8e-09 1.44
41 1.2e-05 1.9e-02 8.0e-04 1.00e+00 1.723821222e+02 1.724130395e+02 7.0e-09 1.48
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723843493e+02 1.724121749e+02 6.3e-09 1.51
43 9.7e-06 1.6e-02 6.5e-04 1.00e+00 1.723863526e+02 1.724113956e+02 5.7e-09 1.54
44 8.7e-06 1.6e-02 5.8e-04 1.00e+00 1.723881547e+02 1.724106934e+02 5.1e-09 1.58
45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723897757e+02 1.724100606e+02 4.6e-09 1.61
46 7.1e-06 1.4e-02 4.7e-04 1.00e+00 1.723912340e+02 1.724094904e+02 4.2e-09 1.64
47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723925459e+02 1.724089767e+02 3.7e-09 1.68
48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723937261e+02 1.724085139e+02 3.4e-09 1.71
49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723947880e+02 1.724080970e+02 3.0e-09 1.74
50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723957433e+02 1.724077214e+02 2.7e-09 1.78
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723966028e+02 1.724073832e+02 2.5e-09 1.81
52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723973762e+02 1.724070785e+02 2.2e-09 1.84
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980720e+02 1.724068042e+02 2.0e-09 1.88
54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986981e+02 1.724065571e+02 1.8e-09 1.91
55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992614e+02 1.724063345e+02 1.6e-09 1.94
56 2.5e-06 9.8e-03 1.7e-04 1.00e+00 1.723997683e+02 1.724061341e+02 1.4e-09 1.98
57 2.2e-06 9.6e-03 1.5e-04 1.00e+00 1.724002244e+02 1.724059537e+02 1.3e-09 2.01
58 2.0e-06 9.4e-03 1.3e-04 1.00e+00 1.724006348e+02 1.724057912e+02 1.2e-09 2.04
59 1.8e-06 9.2e-03 1.2e-04 1.00e+00 1.724010041e+02 1.724056449e+02 1.1e-09 2.08
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013364e+02 1.724055132e+02 9.5e-10 2.11
61 1.5e-06 8.9e-03 9.8e-05 1.00e+00 1.724016355e+02 1.724053945e+02 8.6e-10 2.15
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724019045e+02 1.724052877e+02 7.7e-10 2.18
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021467e+02 1.724051916e+02 6.9e-10 2.21
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023646e+02 1.724051050e+02 6.2e-10 2.24
65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025606e+02 1.724050270e+02 5.6e-10 2.27
66 8.6e-07 8.3e-03 5.8e-05 1.00e+00 1.724027371e+02 1.724049568e+02 5.1e-10 2.31
67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028958e+02 1.724048936e+02 4.5e-10 2.34
68 7.0e-07 8.2e-03 4.7e-05 1.00e+00 1.724030387e+02 1.724048367e+02 4.1e-10 2.37
69 6.3e-07 8.1e-03 4.2e-05 1.00e+00 1.724031673e+02 1.724047855e+02 3.7e-10 2.40
70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032830e+02 1.724047394e+02 3.3e-10 2.43
71 5.1e-07 8.0e-03 3.4e-05 1.00e+00 1.724033871e+02 1.724046979e+02 3.0e-10 2.46
72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034808e+02 1.724046605e+02 2.7e-10 2.50
73 4.1e-07 7.9e-03 2.8e-05 1.00e+00 1.724035651e+02 1.724046268e+02 2.4e-10 2.53
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036410e+02 1.724045965e+02 2.2e-10 2.56
75 3.3e-07 7.8e-03 2.2e-05 1.00e+00 1.724037092e+02 1.724045692e+02 2.0e-10 2.59
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037707e+02 1.724045447e+02 1.8e-10 2.62
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038260e+02 1.724045226e+02 1.6e-10 2.65
78 2.4e-07 7.7e-03 1.6e-05 1.00e+00 1.724038757e+02 1.724045027e+02 1.4e-10 2.68
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039205e+02 1.724044847e+02 1.3e-10 2.71
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039608e+02 1.724044686e+02 1.2e-10 2.75
81 1.8e-07 7.6e-03 1.2e-05 1.00e+00 1.724039970e+02 1.724044541e+02 1.0e-10 2.78
82 1.6e-07 7.6e-03 1.1e-05 1.00e+00 1.724040297e+02 1.724044410e+02 9.4e-11 2.81
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040590e+02 1.724044292e+02 8.4e-11 2.84
84 1.3e-07 7.5e-03 8.6e-06 1.00e+00 1.724040854e+02 1.724044186e+02 7.6e-11 2.89
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041092e+02 1.724044091e+02 6.8e-11 2.92
86 1.0e-07 7.5e-03 7.0e-06 1.00e+00 1.724041306e+02 1.724044005e+02 6.1e-11 2.95
87 9.4e-08 7.4e-03 6.3e-06 1.00e+00 1.724041499e+02 1.724043928e+02 5.5e-11 2.98
88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041672e+02 1.724043858e+02 5.0e-11 3.02
89 7.6e-08 7.4e-03 5.1e-06 1.00e+00 1.724041828e+02 1.724043795e+02 4.5e-11 3.05
90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041968e+02 1.724043739e+02 4.0e-11 3.08
91 6.2e-08 7.4e-03 4.1e-06 9.99e-01 1.724042095e+02 1.724043688e+02 3.6e-11 3.11
92 5.6e-08 7.4e-03 3.7e-06 1.00e+00 1.724042208e+02 1.724043642e+02 3.3e-11 3.14
93 5.0e-08 7.4e-03 3.3e-06 1.00e+00 1.724042310e+02 1.724043601e+02 2.9e-11 3.18
94 4.5e-08 7.3e-03 3.0e-06 9.99e-01 1.724042402e+02 1.724043564e+02 2.6e-11 3.21
95 4.1e-08 7.3e-03 2.7e-06 1.00e+00 1.724042485e+02 1.724043531e+02 2.4e-11 3.24
96 3.6e-08 7.3e-03 2.4e-06 9.99e-01 1.724042560e+02 1.724043501e+02 2.1e-11 3.27
97 3.3e-08 7.3e-03 2.2e-06 1.00e+00 1.724042627e+02 1.724043474e+02 1.9e-11 3.30
98 3.0e-08 7.3e-03 2.0e-06 1.00e+00 1.724042687e+02 1.724043450e+02 1.7e-11 3.33
99 2.7e-08 7.3e-03 1.8e-06 1.00e+00 1.724042742e+02 1.724043428e+02 1.6e-11 3.37
100 2.4e-08 7.3e-03 1.6e-06 9.99e-01 1.724042790e+02 1.724043408e+02 1.4e-11 3.40
101 2.2e-08 7.3e-03 1.4e-06 1.00e+00 1.724042834e+02 1.724043390e+02 1.3e-11 3.43
102 1.9e-08 7.3e-03 1.3e-06 9.99e-01 1.724042874e+02 1.724043374e+02 1.1e-11 3.46
103 1.7e-08 7.3e-03 1.2e-06 1.00e+00 1.724042910e+02 1.724043360e+02 1.0e-11 3.49
104 1.6e-08 6.5e-03 1.1e-06 1.00e+00 1.724042942e+02 1.724043347e+02 9.2e-12 3.52
105 1.4e-08 5.9e-03 9.5e-07 1.00e+00 1.724042971e+02 1.724043335e+02 8.3e-12 3.55
106 3.5e-09 1.5e-03 2.4e-07 1.00e+00 1.724043166e+02 1.724043256e+02 2.1e-12 3.58
107 3.2e-09 1.3e-03 2.1e-07 9.91e-01 1.724043172e+02 1.724043254e+02 1.9e-12 3.61
108 6.9e-10 2.9e-04 4.6e-08 1.00e+00 1.724043217e+02 1.724043235e+02 4.0e-13 3.65
Interior-point optimizer terminated. Time: 3.65.
Optimizer terminated. Time: 3.68
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432174e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432351e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.7 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
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 : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 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 : 0.02
Factor - nonzeros before factor : 1.65e+04 after factor : 1.50e+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 -1.285051263e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263516765e+05 3.622987485e+00 4.8e-01 0.12
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203749033e+05 1.006399239e+01 1.9e-01 0.16
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.156664675e+05 6.036391682e+01 1.3e-01 0.19
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131640656e+05 2.177939616e+03 1.3e-01 0.22
5 8.0e+01 1.0e+02 4.5e+03 -7.55e-01 -7.692505620e+04 9.482544330e+03 3.5e-02 0.25
6 4.0e+01 5.1e+01 2.2e+03 -2.30e-01 -5.033254355e+04 1.013241943e+04 1.8e-02 0.29
7 3.0e+01 3.9e+01 1.7e+03 2.22e-01 -4.131699503e+04 8.369855074e+03 1.3e-02 0.32
8 1.8e+01 2.3e+01 1.0e+03 3.84e-01 -2.789881888e+04 5.363496437e+03 8.0e-03 0.35
9 7.8e+00 1.0e+01 4.3e+02 6.13e-01 -1.276861521e+04 3.127656123e+03 3.4e-03 0.38
10 4.0e+00 5.2e+00 2.2e+02 8.50e-01 -6.365154618e+03 2.113270056e+03 1.8e-03 0.42
11 2.3e+00 2.9e+00 1.3e+02 9.42e-01 -3.529554415e+03 1.328166597e+03 1.0e-03 0.46
12 9.6e-01 1.2e+00 5.4e+01 9.75e-01 -1.403510724e+03 6.746281127e+02 4.3e-04 0.49
13 7.9e-01 1.0e+00 4.5e+01 9.75e-01 -1.156768877e+03 5.907340479e+02 3.5e-04 0.52
14 7.4e-01 9.7e-01 4.2e+01 9.79e-01 -1.057471575e+03 5.717601173e+02 3.3e-04 0.55
15 2.6e-01 3.8e-01 1.5e+01 9.81e-01 -2.737787557e+02 3.081500537e+02 1.2e-04 0.58
16 1.5e-01 3.5e-01 8.3e+00 1.01e+00 -8.642072964e+01 2.392252222e+02 6.7e-05 0.62
17 8.3e-02 2.1e-01 4.8e+00 1.01e+00 1.791704790e+01 2.035091032e+02 3.8e-05 0.65
18 8.2e-02 2.1e-01 4.7e+00 1.02e+00 1.974551398e+01 2.036482003e+02 3.8e-05 0.69
19 6.8e-02 1.8e-01 3.9e+00 1.01e+00 5.098868241e+01 2.030408405e+02 3.2e-05 0.72
20 2.0e-02 1.0e-01 1.2e+00 1.01e+00 1.311391414e+02 1.772958378e+02 9.6e-06 0.75
21 6.2e-03 1.8e-01 3.7e-01 1.02e+00 1.567389612e+02 1.709888102e+02 3.0e-06 0.78
22 5.8e-03 1.7e-01 3.5e-01 9.83e-01 1.572781847e+02 1.705714470e+02 2.8e-06 0.81
23 4.3e-03 1.3e-01 2.6e-01 9.58e-01 1.597735062e+02 1.696670370e+02 2.1e-06 0.84
24 2.0e-03 7.8e-02 1.2e-01 9.73e-01 1.636473045e+02 1.683047571e+02 9.8e-07 0.87
25 1.2e-03 6.0e-02 7.4e-02 1.00e+00 1.650413605e+02 1.678696599e+02 6.0e-07 0.90
26 4.9e-04 8.1e-02 3.0e-02 1.01e+00 1.662737422e+02 1.674315933e+02 2.5e-07 0.92
27 2.2e-04 8.3e-02 1.4e-02 1.01e+00 1.667346218e+02 1.672491271e+02 1.1e-07 0.95
28 2.0e-04 7.6e-02 1.2e-02 1.01e+00 1.667749285e+02 1.672380175e+02 1.0e-07 0.98
29 1.8e-04 6.9e-02 1.1e-02 1.01e+00 1.668078170e+02 1.672244412e+02 9.0e-08 1.02
30 1.6e-04 6.3e-02 9.9e-03 1.01e+00 1.668374817e+02 1.672123258e+02 8.1e-08 1.05
31 1.4e-04 5.7e-02 8.9e-03 1.01e+00 1.668639852e+02 1.672012437e+02 7.3e-08 1.08
32 1.3e-04 5.2e-02 8.0e-03 1.01e+00 1.668877436e+02 1.671911915e+02 6.5e-08 1.11
33 1.2e-04 4.8e-02 7.2e-03 1.01e+00 1.669090376e+02 1.671820699e+02 5.9e-08 1.14
34 1.0e-04 4.4e-02 6.5e-03 1.01e+00 1.669281294e+02 1.671737996e+02 5.3e-08 1.17
35 9.3e-05 4.0e-02 5.8e-03 1.01e+00 1.669452499e+02 1.671663045e+02 4.8e-08 1.20
36 8.4e-05 3.7e-02 5.2e-03 1.01e+00 1.669606062e+02 1.671595151e+02 4.3e-08 1.23
37 7.6e-05 3.4e-02 4.7e-03 1.01e+00 1.669743828e+02 1.671533679e+02 3.9e-08 1.26
38 6.8e-05 3.1e-02 4.3e-03 1.01e+00 1.669867444e+02 1.671478040e+02 3.5e-08 1.30
39 6.1e-05 2.9e-02 3.8e-03 1.00e+00 1.669978382e+02 1.671427697e+02 3.1e-08 1.32
40 5.5e-05 2.7e-02 3.4e-03 1.00e+00 1.670077957e+02 1.671382160e+02 2.8e-08 1.36
41 5.0e-05 2.5e-02 3.1e-03 1.00e+00 1.670167347e+02 1.671340982e+02 2.5e-08 1.39
42 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.670247604e+02 1.671303756e+02 2.3e-08 1.42
43 4.0e-05 2.2e-02 2.5e-03 1.00e+00 1.670319669e+02 1.671270109e+02 2.1e-08 1.45
44 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.670384388e+02 1.671239704e+02 1.8e-08 1.49
45 3.3e-05 1.9e-02 2.0e-03 1.00e+00 1.670442515e+02 1.671212237e+02 1.7e-08 1.52
46 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.670494728e+02 1.671187426e+02 1.5e-08 1.55
47 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.670541633e+02 1.671165020e+02 1.3e-08 1.58
48 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.670583775e+02 1.671144789e+02 1.2e-08 1.61
49 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.670621640e+02 1.671126525e+02 1.1e-08 1.64
50 1.9e-05 1.5e-02 1.2e-03 1.00e+00 1.670655666e+02 1.671110041e+02 9.8e-09 1.67
51 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.670686245e+02 1.671095165e+02 8.9e-09 1.71
52 1.6e-05 1.3e-02 9.7e-04 1.00e+00 1.670713728e+02 1.671081742e+02 8.0e-09 1.74
53 1.4e-05 1.3e-02 8.8e-04 1.00e+00 1.670738431e+02 1.671069632e+02 7.2e-09 1.76
54 1.3e-05 1.2e-02 7.9e-04 1.00e+00 1.670760636e+02 1.671058709e+02 6.5e-09 1.79
55 1.1e-05 1.2e-02 7.1e-04 1.00e+00 1.670780598e+02 1.671048858e+02 5.8e-09 1.83
56 1.0e-05 1.1e-02 6.4e-04 1.00e+00 1.670798546e+02 1.671039974e+02 5.2e-09 1.86
57 9.2e-06 1.1e-02 5.7e-04 1.00e+00 1.670814682e+02 1.671031964e+02 4.7e-09 1.89
58 8.3e-06 1.1e-02 5.2e-04 1.00e+00 1.670829192e+02 1.671024743e+02 4.2e-09 1.92
59 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.670842240e+02 1.671018234e+02 3.8e-09 1.95
60 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.670853974e+02 1.671012367e+02 3.4e-09 1.98
61 6.0e-06 1.0e-02 3.8e-04 1.00e+00 1.670864527e+02 1.671007079e+02 3.1e-09 2.02
62 5.4e-06 9.9e-03 3.4e-04 1.00e+00 1.670874019e+02 1.671002314e+02 2.8e-09 2.05
63 2.1e-06 3.8e-03 1.3e-04 1.00e+00 1.670926601e+02 1.670975620e+02 1.1e-09 2.08
64 8.3e-07 1.5e-03 5.2e-05 1.00e+00 1.670945993e+02 1.670965759e+02 4.3e-10 2.12
65 7.5e-07 1.4e-03 4.7e-05 1.00e+00 1.670947339e+02 1.670965129e+02 3.9e-10 2.15
66 4.5e-07 8.2e-04 2.8e-05 9.99e-01 1.670951999e+02 1.670962711e+02 2.3e-10 2.18
67 4.1e-07 7.4e-04 2.6e-05 1.00e+00 1.670952714e+02 1.670962355e+02 2.1e-10 2.21
68 3.7e-07 6.6e-04 2.3e-05 1.00e+00 1.670953350e+02 1.670962026e+02 1.9e-10 2.25
69 3.3e-07 6.0e-04 2.1e-05 1.00e+00 1.670953921e+02 1.670961730e+02 1.7e-10 2.28
70 3.0e-07 5.4e-04 1.9e-05 9.97e-01 1.670954435e+02 1.670961464e+02 1.5e-10 2.31
71 2.7e-07 4.8e-04 1.7e-05 9.99e-01 1.670954897e+02 1.670961223e+02 1.4e-10 2.34
72 2.4e-07 4.4e-04 1.5e-05 9.97e-01 1.670955313e+02 1.670961007e+02 1.2e-10 2.37
73 2.2e-07 3.9e-04 1.4e-05 9.99e-01 1.670955687e+02 1.670960812e+02 1.1e-10 2.40
74 1.9e-07 3.5e-04 1.2e-05 1.00e+00 1.670956024e+02 1.670960636e+02 1.0e-10 2.43
75 1.7e-07 3.2e-04 1.1e-05 1.00e+00 1.670956328e+02 1.670960477e+02 9.0e-11 2.46
76 1.6e-07 2.9e-04 9.9e-06 9.96e-01 1.670956600e+02 1.670960335e+02 8.1e-11 2.49
77 1.4e-07 2.6e-04 8.9e-06 9.97e-01 1.670956845e+02 1.670960208e+02 7.3e-11 2.53
78 1.3e-07 2.3e-04 8.0e-06 1.00e+00 1.670957066e+02 1.670960092e+02 6.6e-11 2.56
79 1.1e-07 2.1e-04 7.2e-06 9.94e-01 1.670957264e+02 1.670959989e+02 5.9e-11 2.60
80 1.0e-07 1.9e-04 6.5e-06 1.01e+00 1.670957446e+02 1.670959893e+02 5.3e-11 2.63
81 9.3e-08 1.7e-04 5.8e-06 1.00e+00 1.670957607e+02 1.670959809e+02 4.8e-11 2.67
82 8.4e-08 1.5e-04 5.3e-06 9.92e-01 1.670957752e+02 1.670959734e+02 4.3e-11 2.71
83 7.5e-08 1.4e-04 4.7e-06 9.96e-01 1.670957882e+02 1.670959666e+02 3.9e-11 2.74
84 6.8e-08 1.2e-04 4.3e-06 9.94e-01 1.670957998e+02 1.670959605e+02 3.5e-11 2.77
85 6.1e-08 1.1e-04 3.8e-06 1.01e+00 1.670958105e+02 1.670959548e+02 3.1e-11 2.80
86 5.5e-08 1.0e-04 3.4e-06 9.87e-01 1.670958200e+02 1.670959499e+02 2.8e-11 2.83
87 4.9e-08 9.0e-05 3.1e-06 9.88e-01 1.670958285e+02 1.670959455e+02 2.6e-11 2.87
88 4.4e-08 8.1e-05 2.8e-06 1.00e+00 1.670958363e+02 1.670959414e+02 2.3e-11 2.90
89 4.0e-08 7.3e-05 2.5e-06 1.02e+00 1.670958436e+02 1.670959375e+02 2.1e-11 2.93
90 3.6e-08 6.5e-05 2.3e-06 1.01e+00 1.670958499e+02 1.670959342e+02 1.9e-11 2.96
91 3.2e-08 5.9e-05 2.0e-06 1.02e+00 1.670958560e+02 1.670959310e+02 1.7e-11 2.99
92 2.9e-08 5.3e-05 1.8e-06 9.79e-01 1.670958609e+02 1.670959285e+02 1.5e-11 3.03
93 2.6e-08 4.8e-05 1.6e-06 1.03e+00 1.670958658e+02 1.670959258e+02 1.4e-11 3.06
94 2.4e-08 4.3e-05 1.5e-06 9.80e-01 1.670958697e+02 1.670959238e+02 1.3e-11 3.09
95 2.1e-08 3.9e-05 1.3e-06 1.03e+00 1.670958737e+02 1.670959216e+02 1.2e-11 3.12
96 1.9e-08 3.5e-05 1.2e-06 1.03e+00 1.670958772e+02 1.670959198e+02 1.0e-11 3.15
97 1.7e-08 3.1e-05 1.1e-06 1.02e+00 1.670958803e+02 1.670959182e+02 9.5e-12 3.18
98 1.6e-08 2.8e-05 9.7e-07 9.75e-01 1.670958828e+02 1.670959169e+02 8.6e-12 3.22
Interior-point optimizer terminated. Time: 3.22.
Optimizer terminated. Time: 3.24
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709588276e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709591689e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.26 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
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 : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 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 : 1.65e+04 after factor : 1.50e+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 -1.282340850e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260941573e+05 3.573267195e+00 4.8e-01 0.12
2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.200565776e+05 1.003090085e+01 1.9e-01 0.15
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.153564050e+05 6.135549482e+01 1.3e-01 0.19
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.127106681e+05 2.301020866e+03 1.3e-01 0.22
5 7.4e+01 9.5e+01 4.1e+03 -7.54e-01 -7.385928746e+04 1.001973631e+04 3.3e-02 0.26
6 3.6e+01 4.7e+01 2.0e+03 -1.86e-01 -4.686873905e+04 1.035872453e+04 1.6e-02 0.29
7 2.2e+01 2.8e+01 1.2e+03 2.80e-01 -3.229449599e+04 7.125833464e+03 9.7e-03 0.32
8 1.3e+01 1.7e+01 7.4e+02 5.41e-01 -2.102036861e+04 4.794248583e+03 5.9e-03 0.35
9 5.2e+00 6.7e+00 2.9e+02 7.27e-01 -8.482470135e+03 2.381494309e+03 2.3e-03 0.39
10 2.4e+00 3.0e+00 1.3e+02 9.16e-01 -3.662382832e+03 1.406284266e+03 1.1e-03 0.42
11 1.7e+00 2.2e+00 9.5e+01 9.76e-01 -2.587876686e+03 1.057512345e+03 7.6e-04 0.45
12 8.3e-01 1.1e+00 4.7e+01 9.83e-01 -1.195669632e+03 6.123632396e+02 3.7e-04 0.48
13 7.6e-01 1.1e+00 4.2e+01 9.50e-01 -1.098082162e+03 5.684093018e+02 3.4e-04 0.51
14 6.1e-01 8.7e-01 3.4e+01 9.86e-01 -8.367300100e+02 5.040843068e+02 2.7e-04 0.55
15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.535786791e+02 2.533284943e+02 8.4e-05 0.58
16 1.0e-01 1.8e-01 5.9e+00 1.01e+00 -2.006093878e+01 2.117118687e+02 4.8e-05 0.61
17 1.0e-01 1.8e-01 5.9e+00 1.02e+00 -1.844845634e+01 2.119466357e+02 4.8e-05 0.65
18 8.8e-02 1.6e-01 5.1e+00 1.02e+00 1.413375239e+01 2.123039028e+02 4.1e-05 0.69
19 3.5e-02 9.7e-02 2.0e+00 1.01e+00 1.053769563e+02 1.837345291e+02 1.6e-05 0.72
20 1.0e-02 1.7e-01 6.0e-01 1.01e+00 1.496756091e+02 1.726890847e+02 4.8e-06 0.76
21 3.1e-03 1.8e-01 1.9e-01 1.01e+00 1.612161805e+02 1.684507048e+02 1.5e-06 0.79
22 1.2e-03 1.2e-01 7.5e-02 1.01e+00 1.645522321e+02 1.674150665e+02 6.2e-07 0.83
23 6.1e-04 8.4e-02 3.8e-02 1.00e+00 1.656029098e+02 1.670405735e+02 3.1e-07 0.86
24 2.4e-04 8.6e-02 1.5e-02 1.01e+00 1.662299095e+02 1.668057377e+02 1.3e-07 0.89
25 2.2e-04 7.9e-02 1.4e-02 1.01e+00 1.662753151e+02 1.667934042e+02 1.1e-07 0.93
26 2.0e-04 7.2e-02 1.2e-02 1.01e+00 1.663120666e+02 1.667782130e+02 1.0e-07 0.96
27 1.8e-04 6.6e-02 1.1e-02 1.01e+00 1.663452921e+02 1.667647135e+02 9.2e-08 1.00
28 1.6e-04 6.0e-02 1.0e-02 1.01e+00 1.663750715e+02 1.667524612e+02 8.3e-08 1.03
29 1.4e-04 5.5e-02 9.0e-03 1.01e+00 1.664018122e+02 1.667413903e+02 7.5e-08 1.07
30 1.3e-04 5.0e-02 8.1e-03 1.01e+00 1.664258186e+02 1.667313799e+02 6.7e-08 1.10
31 1.2e-04 4.6e-02 7.3e-03 1.01e+00 1.664473730e+02 1.667223305e+02 6.0e-08 1.13
32 1.0e-04 4.2e-02 6.5e-03 1.00e+00 1.664667267e+02 1.667141501e+02 5.4e-08 1.17
33 9.4e-05 3.9e-02 5.9e-03 1.00e+00 1.664841054e+02 1.667067558e+02 4.9e-08 1.20
34 8.4e-05 3.6e-02 5.3e-03 1.00e+00 1.664997115e+02 1.667000723e+02 4.4e-08 1.23
35 7.6e-05 3.3e-02 4.8e-03 1.00e+00 1.665137263e+02 1.666940315e+02 4.0e-08 1.27
36 6.8e-05 3.0e-02 4.3e-03 1.00e+00 1.665263128e+02 1.666885719e+02 3.6e-08 1.30
37 6.1e-05 2.8e-02 3.9e-03 1.00e+00 1.665376170e+02 1.666836378e+02 3.2e-08 1.33
38 5.5e-05 2.6e-02 3.5e-03 1.00e+00 1.665477699e+02 1.666791788e+02 2.9e-08 1.36
39 5.0e-05 2.4e-02 3.1e-03 1.00e+00 1.665568892e+02 1.666751496e+02 2.6e-08 1.40
40 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.665650806e+02 1.666715089e+02 2.3e-08 1.43
41 4.0e-05 2.1e-02 2.5e-03 1.00e+00 1.665724388e+02 1.666682196e+02 2.1e-08 1.46
42 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.665790489e+02 1.666652480e+02 1.9e-08 1.50
43 3.3e-05 1.9e-02 2.1e-03 1.00e+00 1.665849874e+02 1.666625638e+02 1.7e-08 1.53
44 2.9e-05 1.8e-02 1.9e-03 1.00e+00 1.665903228e+02 1.666601394e+02 1.5e-08 1.56
45 2.6e-05 1.7e-02 1.7e-03 1.00e+00 1.665951166e+02 1.666579498e+02 1.4e-08 1.60
46 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.665994240e+02 1.666559727e+02 1.2e-08 1.63
47 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.666032946e+02 1.666541875e+02 1.1e-08 1.67
48 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.666067729e+02 1.666525759e+02 1.0e-08 1.70
49 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.666098990e+02 1.666511212e+02 9.1e-09 1.74
50 1.6e-05 1.3e-02 9.8e-04 1.00e+00 1.666127085e+02 1.666498082e+02 8.2e-09 1.78
51 1.4e-05 1.3e-02 8.9e-04 1.00e+00 1.666152338e+02 1.666486233e+02 7.4e-09 1.81
52 1.3e-05 1.2e-02 8.0e-04 1.00e+00 1.666175038e+02 1.666475542e+02 6.6e-09 1.84
53 1.1e-05 1.2e-02 7.2e-04 1.00e+00 1.666195443e+02 1.666465896e+02 6.0e-09 1.88
54 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.666213787e+02 1.666457194e+02 5.4e-09 1.92
55 9.2e-06 1.1e-02 5.8e-04 1.00e+00 1.666230278e+02 1.666449345e+02 4.8e-09 1.95
56 8.3e-06 1.1e-02 5.2e-04 1.00e+00 1.666245105e+02 1.666442266e+02 4.3e-09 1.99
57 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.666258437e+02 1.666435881e+02 3.9e-09 2.02
58 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.666270423e+02 1.666430124e+02 3.5e-09 2.06
59 6.0e-06 1.0e-02 3.8e-04 1.00e+00 1.666281202e+02 1.666424933e+02 3.2e-09 2.09
60 5.4e-06 9.9e-03 3.4e-04 1.00e+00 1.666290894e+02 1.666420253e+02 2.9e-09 2.12
61 4.9e-06 9.7e-03 3.1e-04 1.00e+00 1.666299609e+02 1.666416032e+02 2.6e-09 2.16
62 4.4e-06 9.5e-03 2.8e-04 1.00e+00 1.666307446e+02 1.666412228e+02 2.3e-09 2.19
63 4.0e-06 9.4e-03 2.5e-04 1.00e+00 1.666314493e+02 1.666408797e+02 2.1e-09 2.23
64 3.6e-06 9.3e-03 2.3e-04 1.00e+00 1.666320829e+02 1.666405704e+02 1.9e-09 2.26
65 3.2e-06 9.2e-03 2.0e-04 1.00e+00 1.666326527e+02 1.666402915e+02 1.7e-09 2.30
66 2.9e-06 9.1e-03 1.8e-04 1.00e+00 1.666331651e+02 1.666400401e+02 1.5e-09 2.33
67 2.6e-06 9.0e-03 1.6e-04 1.00e+00 1.666336259e+02 1.666398134e+02 1.4e-09 2.36
68 2.3e-06 8.9e-03 1.5e-04 1.00e+00 1.666340403e+02 1.666396091e+02 1.2e-09 2.40
69 2.1e-06 8.8e-03 1.3e-04 1.00e+00 1.666344130e+02 1.666394249e+02 1.1e-09 2.43
70 1.9e-06 8.7e-03 1.2e-04 1.00e+00 1.666347482e+02 1.666392590e+02 1.0e-09 2.47
71 1.7e-06 8.6e-03 1.1e-04 1.00e+00 1.666350498e+02 1.666391095e+02 9.0e-10 2.50
72 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.666353210e+02 1.666389748e+02 8.1e-10 2.53
73 1.4e-06 8.5e-03 8.7e-05 1.00e+00 1.666355649e+02 1.666388534e+02 7.3e-10 2.57
74 1.2e-06 8.5e-03 7.9e-05 1.00e+00 1.666357843e+02 1.666387440e+02 6.5e-10 2.60
75 1.1e-06 8.4e-03 7.1e-05 1.00e+00 1.666359817e+02 1.666386454e+02 5.9e-10 2.64
76 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.666361592e+02 1.666385565e+02 5.3e-10 2.68
77 9.1e-07 8.3e-03 5.7e-05 1.00e+00 1.666363188e+02 1.666384764e+02 4.8e-10 2.71
78 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.666364624e+02 1.666384043e+02 4.3e-10 2.74
79 7.3e-07 8.3e-03 4.6e-05 1.00e+00 1.666365915e+02 1.666383392e+02 3.9e-10 2.78
80 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.666367076e+02 1.666382806e+02 3.5e-10 2.81
81 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.666368121e+02 1.666382277e+02 3.1e-10 2.85
82 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.666369060e+02 1.666381800e+02 2.8e-10 2.88
83 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.666369904e+02 1.666381370e+02 2.5e-10 2.91
84 4.3e-07 8.1e-03 2.7e-05 1.00e+00 1.666370663e+02 1.666380983e+02 2.3e-10 2.95
85 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.666371346e+02 1.666380634e+02 2.0e-10 2.98
86 3.5e-07 8.1e-03 2.2e-05 1.00e+00 1.666371960e+02 1.666380319e+02 1.8e-10 3.02
87 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.666372512e+02 1.666380035e+02 1.7e-10 3.07
88 2.8e-07 8.0e-03 1.8e-05 1.00e+00 1.666373009e+02 1.666379779e+02 1.5e-10 3.10
89 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.666373455e+02 1.666379549e+02 1.3e-10 3.14
90 2.3e-07 8.0e-03 1.5e-05 9.99e-01 1.666373857e+02 1.666379342e+02 1.2e-10 3.17
91 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.666374219e+02 1.666379155e+02 1.1e-10 3.20
92 1.9e-07 7.9e-03 1.2e-05 9.99e-01 1.666374544e+02 1.666378986e+02 9.8e-11 3.24
93 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.666374837e+02 1.666378835e+02 8.8e-11 3.27
94 1.5e-07 7.9e-03 9.6e-06 1.00e+00 1.666375100e+02 1.666378698e+02 7.9e-11 3.31
95 1.4e-07 7.9e-03 8.6e-06 1.00e+00 1.666375338e+02 1.666378574e+02 7.2e-11 3.34
96 1.2e-07 7.9e-03 7.7e-06 1.00e+00 1.666375551e+02 1.666378464e+02 6.4e-11 3.37
97 1.1e-07 7.8e-03 7.0e-06 9.99e-01 1.666375743e+02 1.666378364e+02 5.8e-11 3.41
98 9.9e-08 7.8e-03 6.3e-06 1.00e+00 1.666375915e+02 1.666378274e+02 5.2e-11 3.44
99 8.9e-08 7.8e-03 5.6e-06 9.99e-01 1.666376071e+02 1.666378194e+02 4.7e-11 3.48
100 8.0e-08 7.0e-03 5.1e-06 1.00e+00 1.666376212e+02 1.666378120e+02 4.2e-11 3.51
101 7.2e-08 6.3e-03 4.6e-06 1.01e+00 1.666376339e+02 1.666378054e+02 3.8e-11 3.54
102 6.5e-08 5.7e-03 4.1e-06 9.96e-01 1.666376452e+02 1.666377995e+02 3.4e-11 3.58
103 5.9e-08 5.1e-03 3.7e-06 9.94e-01 1.666376553e+02 1.666377943e+02 3.1e-11 3.61
104 5.3e-08 4.6e-03 3.3e-06 1.00e+00 1.666376645e+02 1.666377895e+02 2.8e-11 3.65
105 4.7e-08 4.1e-03 3.0e-06 1.00e+00 1.666376727e+02 1.666377852e+02 2.5e-11 3.68
106 4.3e-08 3.7e-03 2.7e-06 1.01e+00 1.666376802e+02 1.666377813e+02 2.3e-11 3.71
107 3.8e-08 3.4e-03 2.4e-06 9.99e-01 1.666376869e+02 1.666377779e+02 2.0e-11 3.75
108 3.5e-08 3.0e-03 2.2e-06 9.91e-01 1.666376928e+02 1.666377748e+02 1.8e-11 3.78
109 3.1e-08 2.7e-03 2.0e-06 1.00e+00 1.666376982e+02 1.666377720e+02 1.6e-11 3.81
110 2.8e-08 2.4e-03 1.8e-06 9.99e-01 1.666377031e+02 1.666377694e+02 1.5e-11 3.85
111 2.5e-08 2.2e-03 1.6e-06 1.01e+00 1.666377076e+02 1.666377671e+02 1.3e-11 3.88
112 2.3e-08 2.0e-03 1.4e-06 9.96e-01 1.666377115e+02 1.666377650e+02 1.2e-11 3.92
113 2.0e-08 1.8e-03 1.3e-06 9.73e-01 1.666377150e+02 1.666377633e+02 1.1e-11 3.95
114 1.8e-08 1.6e-03 1.2e-06 1.00e+00 1.666377182e+02 1.666377616e+02 9.7e-12 3.99
115 1.7e-08 1.4e-03 1.0e-06 9.77e-01 1.666377210e+02 1.666377601e+02 8.8e-12 4.02
116 1.5e-08 1.3e-03 9.4e-07 9.91e-01 1.666377236e+02 1.666377588e+02 7.9e-12 4.05
117 1.3e-08 1.2e-03 8.5e-07 1.00e+00 1.666377259e+02 1.666377576e+02 7.1e-12 4.09
118 1.2e-08 1.1e-03 7.6e-07 9.85e-01 1.666377280e+02 1.666377565e+02 6.4e-12 4.12
119 1.1e-08 9.5e-04 6.9e-07 1.00e+00 1.666377299e+02 1.666377555e+02 5.8e-12 4.15
120 9.8e-09 8.5e-04 6.2e-07 9.66e-01 1.666377315e+02 1.666377547e+02 5.2e-12 4.18
121 8.8e-09 7.7e-04 5.6e-07 9.93e-01 1.666377331e+02 1.666377539e+02 4.7e-12 4.22
122 8.0e-09 6.9e-04 5.0e-07 1.04e+00 1.666377347e+02 1.666377530e+02 4.3e-12 4.25
123 7.2e-09 6.2e-04 4.5e-07 9.74e-01 1.666377359e+02 1.666377524e+02 3.9e-12 4.29
124 6.4e-09 5.6e-04 4.1e-07 9.72e-01 1.666377370e+02 1.666377518e+02 3.5e-12 4.33
125 5.8e-09 5.0e-04 3.6e-07 9.70e-01 1.666377379e+02 1.666377513e+02 3.1e-12 4.36
126 5.2e-09 4.5e-04 3.3e-07 9.66e-01 1.666377388e+02 1.666377509e+02 2.8e-12 4.39
127 4.7e-09 4.1e-04 3.0e-07 1.01e+00 1.666377396e+02 1.666377505e+02 2.5e-12 4.43
128 4.2e-09 3.7e-04 2.7e-07 9.72e-01 1.666377403e+02 1.666377501e+02 2.3e-12 4.46
129 3.8e-09 3.3e-04 2.4e-07 9.43e-01 1.666377410e+02 1.666377498e+02 2.1e-12 4.50
130 2.0e-09 1.9e-05 1.4e-08 8.91e-01 1.666377465e+02 1.666377471e+02 2.2e-13 4.53
Interior-point optimizer terminated. Time: 4.53.
Optimizer terminated. Time: 4.56
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774654e+02 Viol. con: 5e-08 var: 0e+00
Dual. obj: 1.6663774709e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.58 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
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 : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 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 : 1.65e+04 after factor : 1.50e+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 -1.281947627e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260529462e+05 3.567038848e+00 4.8e-01 0.11
2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.199178209e+05 1.011823157e+01 1.9e-01 0.14
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.152760525e+05 6.284867186e+01 1.3e-01 0.17
4 2.9e+02 3.7e+02 1.6e+04 -7.60e-01 -1.125798309e+05 2.338618641e+03 1.3e-01 0.21
5 7.3e+01 9.3e+01 4.0e+03 -7.53e-01 -7.321571169e+04 1.002872628e+04 3.2e-02 0.24
6 3.6e+01 4.5e+01 2.0e+03 -1.76e-01 -4.601687262e+04 1.018884408e+04 1.6e-02 0.27
7 2.1e+01 2.6e+01 1.1e+03 2.94e-01 -3.047980821e+04 6.899555520e+03 9.1e-03 0.30
8 1.2e+01 1.5e+01 6.7e+02 5.72e-01 -1.903302983e+04 4.475402750e+03 5.3e-03 0.33
9 4.6e+00 5.9e+00 2.6e+02 7.59e-01 -7.495639318e+03 2.146505557e+03 2.0e-03 0.37
10 2.2e+00 2.8e+00 1.2e+02 9.29e-01 -3.353648087e+03 1.377851599e+03 9.8e-04 0.40
11 1.5e+00 1.9e+00 8.2e+01 9.79e-01 -2.210980117e+03 9.609873374e+02 6.6e-04 0.43
12 8.6e-01 1.1e+00 4.8e+01 9.85e-01 -1.225035420e+03 6.312885793e+02 3.8e-04 0.46
13 7.4e-01 9.9e-01 4.1e+01 9.55e-01 -1.062787608e+03 5.628137519e+02 3.3e-04 0.50
14 5.5e-01 7.4e-01 3.1e+01 9.88e-01 -7.429101088e+02 4.752637296e+02 2.5e-04 0.53
15 1.7e-01 2.5e-01 9.5e+00 9.91e-01 -1.280756576e+02 2.450100895e+02 7.7e-05 0.56
16 9.6e-02 1.6e-01 5.5e+00 1.01e+00 -7.995789620e+00 2.069290304e+02 4.5e-05 0.59
17 9.5e-02 1.5e-01 5.5e+00 1.02e+00 -6.436231329e+00 2.070556515e+02 4.4e-05 0.62
18 8.6e-02 1.4e-01 4.9e+00 1.02e+00 1.598113356e+01 2.078544236e+02 4.0e-05 0.65
19 4.9e-02 8.5e-02 2.8e+00 1.02e+00 8.164114545e+01 1.897431428e+02 2.3e-05 0.68
20 1.7e-02 8.6e-02 9.9e-01 1.02e+00 1.374439323e+02 1.752958689e+02 8.0e-06 0.72
21 4.6e-03 2.2e-01 2.7e-01 1.01e+00 1.589784555e+02 1.693718210e+02 2.2e-06 0.75
22 3.2e-03 2.5e-01 1.9e-01 1.00e+00 1.612451743e+02 1.684218696e+02 1.5e-06 0.78
23 1.2e-03 1.4e-01 7.1e-02 1.00e+00 1.645949427e+02 1.672907129e+02 5.7e-07 0.81
24 9.0e-04 1.1e-01 5.4e-02 9.93e-01 1.650503672e+02 1.671104664e+02 4.4e-07 0.84
25 3.7e-04 8.4e-02 2.3e-02 9.83e-01 1.659093331e+02 1.667859863e+02 1.9e-07 0.87
26 2.0e-04 6.9e-02 1.3e-02 1.01e+00 1.661934544e+02 1.666724326e+02 1.0e-07 0.91
27 1.5e-04 6.4e-02 9.6e-03 1.01e+00 1.662782826e+02 1.666425431e+02 7.9e-08 0.94
28 1.4e-04 5.9e-02 8.6e-03 1.01e+00 1.663052050e+02 1.666328576e+02 7.1e-08 0.97
29 1.3e-04 5.3e-02 7.8e-03 1.01e+00 1.663279861e+02 1.666228058e+02 6.4e-08 1.00
30 1.1e-04 4.9e-02 7.0e-03 1.01e+00 1.663486762e+02 1.666139642e+02 5.8e-08 1.02
31 1.0e-04 4.5e-02 6.3e-03 1.01e+00 1.663672038e+02 1.666059226e+02 5.2e-08 1.05
32 9.1e-05 4.1e-02 5.7e-03 1.01e+00 1.663838367e+02 1.665986509e+02 4.7e-08 1.09
33 8.2e-05 3.7e-02 5.1e-03 1.00e+00 1.663987621e+02 1.665920685e+02 4.2e-08 1.12
34 7.4e-05 3.4e-02 4.6e-03 1.00e+00 1.664121580e+02 1.665861128e+02 3.8e-08 1.15
35 6.7e-05 3.2e-02 4.1e-03 1.00e+00 1.664241823e+02 1.665807248e+02 3.4e-08 1.18
36 6.0e-05 2.9e-02 3.7e-03 1.00e+00 1.664349767e+02 1.665758517e+02 3.1e-08 1.22
37 5.4e-05 2.7e-02 3.3e-03 1.00e+00 1.664446680e+02 1.665714452e+02 2.8e-08 1.25
38 4.9e-05 2.5e-02 3.0e-03 1.00e+00 1.664533700e+02 1.665674614e+02 2.5e-08 1.28
39 4.4e-05 2.3e-02 2.7e-03 1.00e+00 1.664611845e+02 1.665638604e+02 2.2e-08 1.31
40 3.9e-05 2.2e-02 2.4e-03 1.00e+00 1.664682026e+02 1.665606060e+02 2.0e-08 1.34
41 3.5e-05 2.0e-02 2.2e-03 1.00e+00 1.664745062e+02 1.665576656e+02 1.8e-08 1.38
42 3.2e-05 1.9e-02 2.0e-03 1.00e+00 1.664801686e+02 1.665550092e+02 1.6e-08 1.41
43 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.664852554e+02 1.665526098e+02 1.5e-08 1.44
44 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.664898256e+02 1.665504431e+02 1.3e-08 1.47
45 2.3e-05 1.6e-02 1.4e-03 1.00e+00 1.664939321e+02 1.665484867e+02 1.2e-08 1.50
46 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664976223e+02 1.665467207e+02 1.1e-08 1.53
47 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.665009387e+02 1.665451267e+02 9.6e-09 1.57
48 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.665039194e+02 1.665436883e+02 8.7e-09 1.60
49 1.5e-05 1.3e-02 9.5e-04 1.00e+00 1.665065988e+02 1.665423906e+02 7.8e-09 1.63
50 1.4e-05 1.3e-02 8.5e-04 1.00e+00 1.665090076e+02 1.665412202e+02 7.0e-09 1.66
51 1.2e-05 1.2e-02 7.7e-04 1.00e+00 1.665111733e+02 1.665401646e+02 6.3e-09 1.69
52 1.1e-05 1.2e-02 6.9e-04 1.00e+00 1.665131206e+02 1.665392129e+02 5.7e-09 1.72
53 1.0e-05 1.1e-02 6.2e-04 1.00e+00 1.665148718e+02 1.665383549e+02 5.1e-09 1.75
54 9.0e-06 1.1e-02 5.6e-04 1.00e+00 1.665164466e+02 1.665375816e+02 4.6e-09 1.77
55 8.1e-06 1.1e-02 5.0e-04 1.00e+00 1.665178631e+02 1.665368848e+02 4.1e-09 1.80
56 7.3e-06 1.0e-02 4.5e-04 1.00e+00 1.665191371e+02 1.665362567e+02 3.7e-09 1.84
57 6.6e-06 1.0e-02 4.1e-04 1.00e+00 1.665202831e+02 1.665356909e+02 3.4e-09 1.87
58 5.9e-06 1.0e-02 3.7e-04 1.00e+00 1.665213140e+02 1.665351811e+02 3.0e-09 1.91
59 5.3e-06 9.8e-03 3.3e-04 1.00e+00 1.665222413e+02 1.665347218e+02 2.7e-09 1.94
60 4.8e-06 9.6e-03 3.0e-04 1.00e+00 1.665230754e+02 1.665343081e+02 2.5e-09 1.97
61 4.3e-06 9.5e-03 2.7e-04 1.00e+00 1.665238258e+02 1.665339353e+02 2.2e-09 2.01
62 3.9e-06 9.3e-03 2.4e-04 1.00e+00 1.665245007e+02 1.665335993e+02 2.0e-09 2.03
63 3.5e-06 9.2e-03 2.2e-04 1.00e+00 1.665251077e+02 1.665332966e+02 1.8e-09 2.07
64 3.1e-06 9.1e-03 1.9e-04 1.00e+00 1.665256537e+02 1.665330239e+02 1.6e-09 2.10
65 2.8e-06 9.0e-03 1.8e-04 1.00e+00 1.665261449e+02 1.665327781e+02 1.4e-09 2.13
66 2.5e-06 8.9e-03 1.6e-04 1.00e+00 1.665265866e+02 1.665325566e+02 1.3e-09 2.17
67 2.3e-06 8.8e-03 1.4e-04 1.00e+00 1.665269840e+02 1.665323570e+02 1.2e-09 2.20
68 2.1e-06 8.7e-03 1.3e-04 1.00e+00 1.665273415e+02 1.665321773e+02 1.1e-09 2.23
69 1.9e-06 8.6e-03 1.2e-04 1.00e+00 1.665276631e+02 1.665320154e+02 9.5e-10 2.26
70 1.7e-06 8.6e-03 1.0e-04 1.00e+00 1.665279524e+02 1.665318695e+02 8.6e-10 2.29
71 1.5e-06 8.5e-03 9.3e-05 1.00e+00 1.665282127e+02 1.665317381e+02 7.7e-10 2.32
72 1.3e-06 8.5e-03 8.4e-05 1.00e+00 1.665284469e+02 1.665316198e+02 6.9e-10 2.35
73 1.2e-06 8.4e-03 7.6e-05 1.00e+00 1.665286575e+02 1.665315132e+02 6.2e-10 2.38
74 1.1e-06 8.4e-03 6.8e-05 1.00e+00 1.665288470e+02 1.665314172e+02 5.6e-10 2.42
75 9.8e-07 8.3e-03 6.1e-05 1.00e+00 1.665290174e+02 1.665313306e+02 5.1e-10 2.45
76 8.9e-07 8.3e-03 5.5e-05 1.00e+00 1.665291708e+02 1.665312526e+02 4.5e-10 2.48
77 8.0e-07 8.3e-03 5.0e-05 1.00e+00 1.665293087e+02 1.665311824e+02 4.1e-10 2.51
78 7.2e-07 8.2e-03 4.5e-05 1.00e+00 1.665294327e+02 1.665311191e+02 3.7e-10 2.54
79 6.5e-07 8.2e-03 4.0e-05 1.00e+00 1.665295443e+02 1.665310620e+02 3.3e-10 2.57
80 5.8e-07 8.2e-03 3.6e-05 1.00e+00 1.665296446e+02 1.665310106e+02 3.0e-10 2.61
81 5.2e-07 8.1e-03 3.3e-05 9.99e-01 1.665297348e+02 1.665309643e+02 2.7e-10 2.64
82 4.7e-07 8.1e-03 2.9e-05 1.00e+00 1.665298160e+02 1.665309224e+02 2.4e-10 2.67
83 4.2e-07 8.1e-03 2.6e-05 1.00e+00 1.665298889e+02 1.665308847e+02 2.2e-10 2.70
84 3.8e-07 8.1e-03 2.4e-05 1.00e+00 1.665299545e+02 1.665308508e+02 2.0e-10 2.74
85 3.4e-07 8.0e-03 2.1e-05 9.99e-01 1.665300135e+02 1.665308202e+02 1.8e-10 2.78
86 3.1e-07 8.0e-03 1.9e-05 1.00e+00 1.665300666e+02 1.665307926e+02 1.6e-10 2.81
87 2.8e-07 8.0e-03 1.7e-05 1.00e+00 1.665301144e+02 1.665307677e+02 1.4e-10 2.85
88 2.5e-07 8.0e-03 1.6e-05 9.99e-01 1.665301573e+02 1.665307453e+02 1.3e-10 2.88
89 2.3e-07 8.0e-03 1.4e-05 1.00e+00 1.665301959e+02 1.665307251e+02 1.2e-10 2.91
90 2.0e-07 7.9e-03 1.3e-05 1.00e+00 1.665302307e+02 1.665307069e+02 1.0e-10 2.94
91 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.665302619e+02 1.665306906e+02 9.4e-11 2.98
92 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.665302900e+02 1.665306758e+02 8.4e-11 3.01
93 1.5e-07 7.9e-03 9.2e-06 1.00e+00 1.665303153e+02 1.665306625e+02 7.6e-11 3.04
94 1.3e-07 7.9e-03 8.3e-06 1.00e+00 1.665303381e+02 1.665306505e+02 6.8e-11 3.08
95 1.2e-07 7.8e-03 7.4e-06 1.00e+00 1.665303586e+02 1.665306398e+02 6.1e-11 3.11
96 1.1e-07 7.8e-03 6.7e-06 1.00e+00 1.665303770e+02 1.665306301e+02 5.5e-11 3.14
97 9.7e-08 7.8e-03 6.0e-06 9.98e-01 1.665303936e+02 1.665306214e+02 5.0e-11 3.18
98 8.7e-08 7.8e-03 5.4e-06 9.98e-01 1.665304085e+02 1.665306135e+02 4.5e-11 3.21
99 7.8e-08 7.8e-03 4.9e-06 9.97e-01 1.665304219e+02 1.665306065e+02 4.0e-11 3.24
100 7.1e-08 7.8e-03 4.4e-06 1.00e+00 1.665304340e+02 1.665306001e+02 3.6e-11 3.27
101 6.4e-08 7.7e-03 4.0e-06 9.96e-01 1.665304449e+02 1.665305944e+02 3.3e-11 3.31
102 5.7e-08 7.0e-03 3.6e-06 1.01e+00 1.665304549e+02 1.665305891e+02 2.9e-11 3.34
103 5.1e-08 6.3e-03 3.2e-06 9.98e-01 1.665304637e+02 1.665305845e+02 2.7e-11 3.37
104 4.6e-08 5.6e-03 2.9e-06 1.01e+00 1.665304718e+02 1.665305801e+02 2.4e-11 3.40
105 4.2e-08 5.1e-03 2.6e-06 9.89e-01 1.665304789e+02 1.665305764e+02 2.2e-11 3.44
106 3.8e-08 4.6e-03 2.3e-06 9.96e-01 1.665304853e+02 1.665305731e+02 1.9e-11 3.47
107 3.4e-08 4.1e-03 2.1e-06 9.91e-01 1.665304910e+02 1.665305701e+02 1.7e-11 3.50
108 3.0e-08 3.7e-03 1.9e-06 1.01e+00 1.665304963e+02 1.665305673e+02 1.6e-11 3.54
109 2.7e-08 3.3e-03 1.7e-06 1.01e+00 1.665305011e+02 1.665305647e+02 1.4e-11 3.56
110 2.5e-08 3.0e-03 1.5e-06 9.87e-01 1.665305053e+02 1.665305625e+02 1.3e-11 3.59
111 2.2e-08 2.7e-03 1.4e-06 9.97e-01 1.665305090e+02 1.665305606e+02 1.2e-11 3.62
112 2.0e-08 2.4e-03 1.2e-06 1.00e+00 1.665305124e+02 1.665305588e+02 1.0e-11 3.66
113 1.8e-08 2.2e-03 1.1e-06 9.89e-01 1.665305154e+02 1.665305572e+02 9.3e-12 3.68
114 1.6e-08 2.0e-03 1.0e-06 9.67e-01 1.665305182e+02 1.665305558e+02 8.4e-12 3.71
115 1.5e-08 1.8e-03 9.0e-07 1.00e+00 1.665305206e+02 1.665305545e+02 7.6e-12 3.74
116 1.3e-08 1.6e-03 8.1e-07 9.69e-01 1.665305228e+02 1.665305533e+02 6.8e-12 3.77
117 1.2e-08 1.4e-03 7.3e-07 1.02e+00 1.665305250e+02 1.665305522e+02 6.2e-12 3.80
118 1.1e-08 1.3e-03 6.6e-07 1.02e+00 1.665305269e+02 1.665305512e+02 5.6e-12 3.83
119 9.5e-09 1.2e-03 5.9e-07 9.85e-01 1.665305284e+02 1.665305504e+02 5.0e-12 3.87
120 8.6e-09 1.0e-03 5.3e-07 9.81e-01 1.665305299e+02 1.665305496e+02 4.5e-12 3.89
121 7.7e-09 9.4e-04 4.8e-07 1.11e+00 1.665305318e+02 1.665305485e+02 4.3e-12 3.93
122 7.0e-09 8.5e-04 4.3e-07 1.00e+00 1.665305329e+02 1.665305479e+02 3.9e-12 3.96
123 6.3e-09 7.6e-04 3.9e-07 9.66e-01 1.665305339e+02 1.665305474e+02 3.5e-12 3.99
124 5.7e-09 6.8e-04 3.5e-07 1.12e+00 1.665305352e+02 1.665305466e+02 3.3e-12 4.02
125 5.2e-09 6.2e-04 3.2e-07 1.06e+00 1.665305362e+02 1.665305461e+02 3.1e-12 4.05
126 4.7e-09 5.5e-04 2.8e-07 1.05e+00 1.665305370e+02 1.665305457e+02 2.8e-12 4.08
127 2.6e-09 6.1e-05 3.1e-08 8.42e-01 1.665305423e+02 1.665305433e+02 4.7e-13 4.11
Interior-point optimizer terminated. Time: 4.11.
Optimizer terminated. Time: 4.15
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054231e+02 Viol. con: 7e-08 var: 0e+00
Dual. obj: 1.6653054334e+02 Viol. con: 0e+00 var: 4e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.17 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
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 : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 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 : 1.65e+04 after factor : 1.50e+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 -1.281910019e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260388219e+05 3.562417208e+00 4.8e-01 0.33
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.198568756e+05 1.018648890e+01 1.9e-01 0.36
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.151988249e+05 6.373035130e+01 1.2e-01 0.39
4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125292485e+05 2.317564464e+03 1.2e-01 0.42
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.413271208e+04 9.821175048e+03 3.3e-02 0.45
6 3.3e+01 4.2e+01 1.8e+03 -1.90e-01 -4.310920037e+04 1.040982498e+04 1.4e-02 0.48
7 1.9e+01 2.4e+01 1.1e+03 3.45e-01 -2.829944922e+04 6.951569959e+03 8.4e-03 0.51
8 1.1e+01 1.4e+01 6.2e+02 6.09e-01 -1.786039422e+04 4.385645871e+03 5.0e-03 0.54
9 4.5e+00 5.7e+00 2.5e+02 7.77e-01 -7.289181706e+03 2.109104965e+03 2.0e-03 0.57
10 2.1e+00 2.6e+00 1.1e+02 9.30e-01 -3.104809309e+03 1.310256797e+03 9.1e-04 0.60
11 1.3e+00 1.6e+00 7.1e+01 9.82e-01 -1.894460823e+03 8.669767008e+02 5.7e-04 0.63
12 8.0e-01 1.0e+00 4.5e+01 9.84e-01 -1.138747685e+03 6.058138153e+02 3.6e-04 0.66
13 5.8e-01 7.8e-01 3.3e+01 9.59e-01 -8.085203758e+02 4.782165114e+02 2.6e-04 0.69
14 4.0e-01 5.3e-01 2.2e+01 9.98e-01 -4.785331532e+02 3.977949478e+02 1.8e-04 0.72
15 1.7e-01 2.4e-01 9.9e+00 9.93e-01 -1.310287128e+02 2.549725951e+02 7.9e-05 0.76
16 8.7e-02 1.4e-01 5.0e+00 1.01e+00 1.037790715e+01 2.048529152e+02 4.0e-05 0.79
17 7.7e-02 1.2e-01 4.4e+00 1.02e+00 3.259164135e+01 2.038095021e+02 3.6e-05 0.82
18 3.1e-02 7.3e-02 1.8e+00 1.02e+00 1.135373008e+02 1.813856132e+02 1.4e-05 0.85
19 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.524132133e+02 1.713323005e+02 4.0e-06 0.89
20 2.5e-03 1.5e-01 1.5e-01 1.00e+00 1.621499173e+02 1.679101305e+02 1.2e-06 0.92
21 1.5e-03 1.1e-01 9.0e-02 1.00e+00 1.639367123e+02 1.673928907e+02 7.3e-07 0.95
22 4.7e-04 1.1e-01 2.9e-02 1.01e+00 1.656860202e+02 1.667891180e+02 2.4e-07 0.98
23 1.5e-04 1.1e-01 9.6e-03 1.01e+00 1.662183276e+02 1.665842625e+02 8.1e-08 1.04
24 1.4e-04 1.0e-01 8.7e-03 1.01e+00 1.662462972e+02 1.665754863e+02 7.3e-08 1.07
25 6.3e-05 8.6e-02 4.0e-03 1.01e+00 1.663693276e+02 1.665220867e+02 3.4e-08 1.11
26 5.7e-05 7.8e-02 3.6e-03 1.01e+00 1.663810924e+02 1.665186053e+02 3.1e-08 1.14
27 5.1e-05 7.1e-02 3.3e-03 1.01e+00 1.663905927e+02 1.665143061e+02 2.8e-08 1.17
28 4.6e-05 6.4e-02 2.9e-03 1.01e+00 1.663992524e+02 1.665105642e+02 2.5e-08 1.21
29 4.1e-05 5.9e-02 2.7e-03 1.01e+00 1.664070050e+02 1.665071592e+02 2.2e-08 1.24
30 3.7e-05 5.4e-02 2.4e-03 1.01e+00 1.664139682e+02 1.665040856e+02 2.0e-08 1.27
31 3.3e-05 4.9e-02 2.1e-03 1.01e+00 1.664202197e+02 1.665013077e+02 1.8e-08 1.31
32 3.0e-05 4.5e-02 1.9e-03 1.01e+00 1.664258335e+02 1.664987984e+02 1.6e-08 1.34
33 2.7e-05 4.1e-02 1.7e-03 1.01e+00 1.664308751e+02 1.664965318e+02 1.5e-08 1.37
34 2.4e-05 3.8e-02 1.6e-03 1.00e+00 1.664354035e+02 1.664944851e+02 1.3e-08 1.41
35 2.2e-05 3.5e-02 1.4e-03 1.00e+00 1.664394714e+02 1.664926370e+02 1.2e-08 1.44
36 2.0e-05 3.2e-02 1.3e-03 1.00e+00 1.664431260e+02 1.664909688e+02 1.1e-08 1.47
37 1.8e-05 3.0e-02 1.1e-03 1.00e+00 1.664464096e+02 1.664894631e+02 9.6e-09 1.51
38 1.6e-05 2.8e-02 1.0e-03 1.00e+00 1.664493603e+02 1.664881044e+02 8.7e-09 1.54
39 1.4e-05 2.6e-02 9.2e-04 1.00e+00 1.664520121e+02 1.664868785e+02 7.8e-09 1.57
40 1.3e-05 2.4e-02 8.3e-04 1.00e+00 1.664543955e+02 1.664857726e+02 7.0e-09 1.61
41 1.2e-05 2.2e-02 7.5e-04 1.00e+00 1.664565379e+02 1.664847752e+02 6.3e-09 1.64
42 1.0e-05 2.1e-02 6.7e-04 1.00e+00 1.664584638e+02 1.664838757e+02 5.7e-09 1.67
43 9.4e-06 1.9e-02 6.1e-04 1.00e+00 1.664601954e+02 1.664830648e+02 5.1e-09 1.70
44 8.5e-06 1.8e-02 5.5e-04 1.00e+00 1.664617523e+02 1.664823337e+02 4.6e-09 1.73
45 7.6e-06 1.7e-02 4.9e-04 1.00e+00 1.664631524e+02 1.664816748e+02 4.1e-09 1.76
46 6.9e-06 1.6e-02 4.4e-04 1.00e+00 1.664644114e+02 1.664810809e+02 3.7e-09 1.79
47 6.2e-06 1.5e-02 4.0e-04 1.00e+00 1.664655438e+02 1.664805458e+02 3.4e-09 1.82
48 5.6e-06 1.5e-02 3.6e-04 1.00e+00 1.664665623e+02 1.664800637e+02 3.0e-09 1.85
49 5.0e-06 1.4e-02 3.2e-04 1.00e+00 1.664674784e+02 1.664796294e+02 2.7e-09 1.89
50 4.5e-06 1.3e-02 2.9e-04 1.00e+00 1.664683025e+02 1.664792381e+02 2.4e-09 1.92
51 4.1e-06 1.3e-02 2.6e-04 1.00e+00 1.664690438e+02 1.664788857e+02 2.2e-09 1.94
52 3.7e-06 1.2e-02 2.4e-04 1.00e+00 1.664697107e+02 1.664785682e+02 2.0e-09 1.98
53 3.3e-06 1.2e-02 2.1e-04 1.00e+00 1.664703105e+02 1.664782822e+02 1.8e-09 2.01
54 3.0e-06 1.1e-02 1.9e-04 1.00e+00 1.664708502e+02 1.664780246e+02 1.6e-09 2.03
55 2.7e-06 1.1e-02 1.7e-04 1.00e+00 1.664713357e+02 1.664777926e+02 1.4e-09 2.07
56 2.4e-06 1.1e-02 1.5e-04 1.00e+00 1.664717725e+02 1.664775837e+02 1.3e-09 2.09
57 2.2e-06 1.0e-02 1.4e-04 1.00e+00 1.664721655e+02 1.664773956e+02 1.2e-09 2.13
58 1.9e-06 1.0e-02 1.2e-04 1.00e+00 1.664725192e+02 1.664772263e+02 1.1e-09 2.16
59 1.8e-06 9.9e-03 1.1e-04 1.00e+00 1.664728375e+02 1.664770739e+02 9.5e-10 2.18
60 1.6e-06 9.6e-03 1.0e-04 1.00e+00 1.664731239e+02 1.664769367e+02 8.5e-10 2.22
61 1.4e-06 9.4e-03 9.1e-05 1.00e+00 1.664733817e+02 1.664768131e+02 7.7e-10 2.25
62 1.3e-06 9.3e-03 8.2e-05 1.00e+00 1.664736137e+02 1.664767020e+02 6.9e-10 2.27
63 1.1e-06 9.1e-03 7.4e-05 1.00e+00 1.664738224e+02 1.664766019e+02 6.2e-10 2.31
64 1.0e-06 9.0e-03 6.6e-05 1.00e+00 1.664740103e+02 1.664765118e+02 5.6e-10 2.34
65 9.3e-07 8.8e-03 6.0e-05 1.00e+00 1.664741793e+02 1.664764307e+02 5.0e-10 2.38
66 8.4e-07 8.7e-03 5.4e-05 1.00e+00 1.664743315e+02 1.664763577e+02 4.5e-10 2.40
67 7.5e-07 8.6e-03 4.8e-05 1.00e+00 1.664744684e+02 1.664762919e+02 4.1e-10 2.44
68 6.8e-07 8.5e-03 4.4e-05 1.00e+00 1.664745915e+02 1.664762327e+02 3.7e-10 2.47
69 6.1e-07 8.4e-03 3.9e-05 1.00e+00 1.664747023e+02 1.664761794e+02 3.3e-10 2.50
70 5.5e-07 8.3e-03 3.5e-05 1.00e+00 1.664748020e+02 1.664761314e+02 3.0e-10 2.53
71 4.9e-07 8.3e-03 3.2e-05 1.00e+00 1.664748917e+02 1.664760882e+02 2.7e-10 2.55
72 4.4e-07 8.2e-03 2.9e-05 1.00e+00 1.664749723e+02 1.664760492e+02 2.4e-10 2.59
73 4.0e-07 8.1e-03 2.6e-05 1.00e+00 1.664750449e+02 1.664760141e+02 2.2e-10 2.62
74 3.6e-07 8.1e-03 2.3e-05 1.00e+00 1.664751102e+02 1.664759824e+02 2.0e-10 2.64
75 3.2e-07 8.0e-03 2.1e-05 1.00e+00 1.664751689e+02 1.664759539e+02 1.8e-10 2.67
76 2.9e-07 8.0e-03 1.9e-05 9.99e-01 1.664752218e+02 1.664759283e+02 1.6e-10 2.70
77 2.6e-07 7.9e-03 1.7e-05 9.98e-01 1.664752693e+02 1.664759052e+02 1.4e-10 2.73
78 2.4e-07 7.9e-03 1.5e-05 1.00e+00 1.664753120e+02 1.664758843e+02 1.3e-10 2.76
79 2.1e-07 7.9e-03 1.4e-05 1.00e+00 1.664753505e+02 1.664758655e+02 1.2e-10 2.79
80 1.9e-07 7.8e-03 1.2e-05 9.98e-01 1.664753851e+02 1.664758487e+02 1.0e-10 2.82
81 1.7e-07 7.8e-03 1.1e-05 9.99e-01 1.664754163e+02 1.664758335e+02 9.3e-11 2.85
82 1.6e-07 7.8e-03 1.0e-05 1.00e+00 1.664754443e+02 1.664758198e+02 8.4e-11 2.88
83 1.4e-07 7.8e-03 9.0e-06 9.99e-01 1.664754695e+02 1.664758074e+02 7.6e-11 2.91
84 1.3e-07 7.7e-03 8.1e-06 1.00e+00 1.664754923e+02 1.664757963e+02 6.8e-11 2.94
85 1.1e-07 7.7e-03 7.3e-06 1.00e+00 1.664755127e+02 1.664757863e+02 6.1e-11 2.97
86 1.0e-07 7.7e-03 6.5e-06 9.99e-01 1.664755311e+02 1.664757773e+02 5.5e-11 3.00
87 9.2e-08 6.9e-03 5.9e-06 1.00e+00 1.664755478e+02 1.664757691e+02 5.0e-11 3.03
88 8.2e-08 6.2e-03 5.3e-06 1.00e+00 1.664755626e+02 1.664757618e+02 4.5e-11 3.06
89 7.4e-08 5.6e-03 4.8e-06 1.00e+00 1.664755760e+02 1.664757553e+02 4.0e-11 3.09
90 6.7e-08 5.0e-03 4.3e-06 9.98e-01 1.664755880e+02 1.664757494e+02 3.6e-11 3.13
91 6.0e-08 4.5e-03 3.9e-06 9.97e-01 1.664755989e+02 1.664757441e+02 3.3e-11 3.15
92 5.4e-08 4.1e-03 3.5e-06 1.00e+00 1.664756086e+02 1.664757393e+02 2.9e-11 3.18
93 4.9e-08 3.7e-03 3.1e-06 9.97e-01 1.664756174e+02 1.664757350e+02 2.6e-11 3.22
94 4.4e-08 3.3e-03 2.8e-06 1.00e+00 1.664756253e+02 1.664757312e+02 2.4e-11 3.25
95 3.9e-08 3.0e-03 2.5e-06 1.01e+00 1.664756325e+02 1.664757276e+02 2.1e-11 3.28
96 3.6e-08 2.7e-03 2.3e-06 1.01e+00 1.664756393e+02 1.664757243e+02 1.9e-11 3.31
97 3.2e-08 2.4e-03 2.1e-06 1.01e+00 1.664756451e+02 1.664757214e+02 1.8e-11 3.34
98 2.9e-08 2.2e-03 1.8e-06 9.91e-01 1.664756502e+02 1.664757189e+02 1.6e-11 3.37
99 2.6e-08 2.0e-03 1.7e-06 9.97e-01 1.664756548e+02 1.664757167e+02 1.4e-11 3.40
100 2.3e-08 1.8e-03 1.5e-06 1.01e+00 1.664756591e+02 1.664757146e+02 1.3e-11 3.43
101 2.1e-08 1.6e-03 1.3e-06 9.98e-01 1.664756628e+02 1.664757128e+02 1.2e-11 3.46
102 1.9e-08 1.4e-03 1.2e-06 1.00e+00 1.664756662e+02 1.664757111e+02 1.0e-11 3.49
103 1.7e-08 1.3e-03 1.1e-06 9.76e-01 1.664756692e+02 1.664757096e+02 9.3e-12 3.52
104 1.5e-08 1.2e-03 9.8e-07 9.91e-01 1.664756719e+02 1.664757083e+02 8.4e-12 3.55
105 1.4e-08 1.0e-03 8.8e-07 9.91e-01 1.664756743e+02 1.664757071e+02 7.6e-12 3.57
106 1.2e-08 9.4e-04 8.0e-07 9.97e-01 1.664756765e+02 1.664757061e+02 6.8e-12 3.60
107 1.1e-08 8.4e-04 7.2e-07 1.00e+00 1.664756785e+02 1.664757051e+02 6.1e-12 3.63
108 1.0e-08 7.6e-04 6.4e-07 1.00e+00 1.664756803e+02 1.664757042e+02 5.5e-12 3.66
109 9.1e-09 6.8e-04 5.8e-07 1.03e+00 1.664756822e+02 1.664757033e+02 5.1e-12 3.69
110 1.5e-09 7.0e-05 5.9e-08 9.90e-01 1.664756949e+02 1.664756971e+02 5.4e-13 3.73
Interior-point optimizer terminated. Time: 3.73.
Optimizer terminated. Time: 3.75
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569490e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.6647569708e+02 Viol. con: 0e+00 var: 5e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.77 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
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 : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3451 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 : 1.50e+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 -1.281197861e+05 2.000000000e+00 1.0e+00 0.10
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259650266e+05 3.561094589e+00 4.8e-01 0.14
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197555734e+05 1.021867861e+01 1.8e-01 0.18
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150858096e+05 6.418745892e+01 1.2e-01 0.21
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124325304e+05 2.305448597e+03 1.2e-01 0.24
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.428051445e+04 9.756407842e+03 3.3e-02 0.28
6 3.0e+01 3.9e+01 1.7e+03 -1.93e-01 -4.041127011e+04 1.037587313e+04 1.3e-02 0.31
7 1.8e+01 2.3e+01 1.0e+03 3.93e-01 -2.698444939e+04 6.759314738e+03 8.0e-03 0.34
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.558012320e+04 3.925144537e+03 4.3e-03 0.38
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.376456394e+03 1.908099551e+03 1.7e-03 0.41
10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.267487347e+03 1.216178370e+03 9.3e-04 0.44
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.522033139e+03 7.367055932e+02 4.7e-04 0.47
12 8.0e-01 1.0e+00 4.5e+01 9.79e-01 -1.157069605e+03 5.992714800e+02 3.6e-04 0.50
13 4.7e-01 6.2e-01 2.6e+01 9.74e-01 -6.218931980e+02 4.222780156e+02 2.1e-04 0.54
14 2.3e-01 9.4e-01 1.3e+01 1.00e+00 -2.250461830e+02 2.955386065e+02 1.1e-04 0.57
15 1.1e-01 4.3e-01 6.1e+00 1.00e+00 -2.237852552e+01 2.143313661e+02 4.9e-05 0.60
16 8.0e-02 3.2e-01 4.6e+00 1.01e+00 2.956613680e+01 2.065250142e+02 3.7e-05 0.63
17 4.4e-02 1.9e-01 2.5e+00 1.02e+00 8.945896220e+01 1.875903723e+02 2.1e-05 0.66
18 1.2e-02 1.6e-01 7.0e-01 1.02e+00 1.463879814e+02 1.733397092e+02 5.7e-06 0.70
19 3.5e-03 1.8e-01 2.1e-01 1.01e+00 1.605147400e+02 1.684778948e+02 1.7e-06 0.73
20 2.0e-03 1.1e-01 1.2e-01 1.01e+00 1.630965877e+02 1.676296051e+02 9.7e-07 0.76
21 6.2e-04 1.3e-01 3.8e-02 1.01e+00 1.654049074e+02 1.668595898e+02 3.1e-07 0.79
22 4.6e-04 1.1e-01 2.9e-02 9.96e-01 1.656724561e+02 1.667523934e+02 2.4e-07 0.82
23 2.4e-04 7.7e-02 1.5e-02 9.84e-01 1.660387452e+02 1.666105663e+02 1.2e-07 0.86
24 2.0e-04 6.4e-02 1.2e-02 1.00e+00 1.661168089e+02 1.665843126e+02 1.0e-07 0.89
25 1.8e-04 5.9e-02 1.1e-02 1.01e+00 1.661509700e+02 1.665714932e+02 9.2e-08 0.92
26 1.6e-04 5.4e-02 1.0e-02 1.01e+00 1.661806504e+02 1.665590014e+02 8.3e-08 0.95
27 1.4e-04 4.9e-02 9.0e-03 1.01e+00 1.662074934e+02 1.665479305e+02 7.5e-08 0.98
28 1.3e-04 4.5e-02 8.1e-03 1.01e+00 1.662315389e+02 1.665378674e+02 6.7e-08 1.02
29 1.2e-04 4.1e-02 7.3e-03 1.01e+00 1.662531204e+02 1.665287632e+02 6.0e-08 1.05
30 1.1e-04 3.8e-02 6.6e-03 1.01e+00 1.662724862e+02 1.665205216e+02 5.4e-08 1.08
31 9.5e-05 3.5e-02 5.9e-03 1.01e+00 1.662898653e+02 1.665130621e+02 4.9e-08 1.11
32 8.5e-05 3.2e-02 5.3e-03 1.01e+00 1.663054620e+02 1.665063107e+02 4.4e-08 1.14
33 7.7e-05 3.0e-02 4.8e-03 1.00e+00 1.663194595e+02 1.665002004e+02 4.0e-08 1.17
34 6.9e-05 2.7e-02 4.3e-03 1.00e+00 1.663320225e+02 1.664946707e+02 3.6e-08 1.20
35 6.2e-05 2.6e-02 3.9e-03 1.00e+00 1.663432986e+02 1.664896671e+02 3.2e-08 1.23
36 5.6e-05 2.4e-02 3.5e-03 1.00e+00 1.663534206e+02 1.664851403e+02 2.9e-08 1.27
37 5.0e-05 2.2e-02 3.1e-03 1.00e+00 1.663625073e+02 1.664810455e+02 2.6e-08 1.30
38 4.5e-05 2.1e-02 2.8e-03 1.00e+00 1.663706656e+02 1.664773423e+02 2.3e-08 1.33
39 4.1e-05 1.9e-02 2.5e-03 1.00e+00 1.663779910e+02 1.664739941e+02 2.1e-08 1.36
40 3.7e-05 1.8e-02 2.3e-03 1.00e+00 1.663845693e+02 1.664709673e+02 1.9e-08 1.40
41 3.3e-05 1.7e-02 2.1e-03 1.00e+00 1.663904772e+02 1.664682317e+02 1.7e-08 1.42
42 3.0e-05 1.6e-02 1.9e-03 1.00e+00 1.663957835e+02 1.664657597e+02 1.5e-08 1.46
43 2.7e-05 1.5e-02 1.7e-03 1.00e+00 1.664005499e+02 1.664635261e+02 1.4e-08 1.49
44 2.4e-05 1.5e-02 1.5e-03 1.00e+00 1.664048316e+02 1.664615084e+02 1.2e-08 1.52
45 2.2e-05 1.4e-02 1.4e-03 1.00e+00 1.664086781e+02 1.664596860e+02 1.1e-08 1.55
46 2.0e-05 1.3e-02 1.2e-03 1.00e+00 1.664121339e+02 1.664580400e+02 1.0e-08 1.58
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664152390e+02 1.664565537e+02 9.1e-09 1.61
48 1.6e-05 1.2e-02 9.9e-04 1.00e+00 1.664180290e+02 1.664552117e+02 8.2e-09 1.65
49 1.4e-05 1.2e-02 8.9e-04 1.00e+00 1.664205361e+02 1.664540002e+02 7.4e-09 1.68
50 1.3e-05 1.1e-02 8.0e-04 1.00e+00 1.664227892e+02 1.664529066e+02 6.6e-09 1.71
51 1.2e-05 1.1e-02 7.2e-04 1.00e+00 1.664248141e+02 1.664519196e+02 6.0e-09 1.74
52 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.664266341e+02 1.664510289e+02 5.4e-09 1.77
53 9.3e-06 1.1e-02 5.8e-04 1.00e+00 1.664282699e+02 1.664502252e+02 4.8e-09 1.80
54 8.4e-06 1.0e-02 5.2e-04 1.00e+00 1.664297405e+02 1.664495002e+02 4.4e-09 1.83
55 7.6e-06 1.0e-02 4.7e-04 1.00e+00 1.664310624e+02 1.664488462e+02 3.9e-09 1.87
56 6.8e-06 9.8e-03 4.2e-04 1.00e+00 1.664322508e+02 1.664482563e+02 3.5e-09 1.90
57 6.1e-06 9.6e-03 3.8e-04 1.00e+00 1.664333194e+02 1.664477243e+02 3.2e-09 1.93
58 5.5e-06 9.5e-03 3.4e-04 1.00e+00 1.664342801e+02 1.664472446e+02 2.9e-09 1.97
59 5.0e-06 9.3e-03 3.1e-04 1.00e+00 1.664351439e+02 1.664468120e+02 2.6e-09 1.99
60 4.5e-06 9.2e-03 2.8e-04 1.00e+00 1.664359207e+02 1.664464220e+02 2.3e-09 2.03
61 4.0e-06 9.0e-03 2.5e-04 1.00e+00 1.664366191e+02 1.664460704e+02 2.1e-09 2.05
62 3.6e-06 8.9e-03 2.3e-04 1.00e+00 1.664372471e+02 1.664457534e+02 1.9e-09 2.09
63 3.3e-06 8.8e-03 2.0e-04 1.00e+00 1.664378119e+02 1.664454675e+02 1.7e-09 2.12
64 2.9e-06 8.7e-03 1.8e-04 1.00e+00 1.664383197e+02 1.664452099e+02 1.5e-09 2.15
65 2.6e-06 8.6e-03 1.6e-04 1.00e+00 1.664387765e+02 1.664449776e+02 1.4e-09 2.18
66 2.4e-06 8.6e-03 1.5e-04 1.00e+00 1.664391873e+02 1.664447684e+02 1.2e-09 2.21
67 2.1e-06 8.5e-03 1.3e-04 1.00e+00 1.664395568e+02 1.664445799e+02 1.1e-09 2.24
68 1.9e-06 8.4e-03 1.2e-04 1.00e+00 1.664398892e+02 1.664444100e+02 1.0e-09 2.27
69 1.7e-06 8.3e-03 1.1e-04 1.00e+00 1.664401883e+02 1.664442570e+02 9.0e-10 2.30
70 1.6e-06 8.3e-03 9.7e-05 1.00e+00 1.664404573e+02 1.664441192e+02 8.1e-10 2.33
71 1.4e-06 8.2e-03 8.7e-05 1.00e+00 1.664406994e+02 1.664439951e+02 7.3e-10 2.37
72 1.3e-06 8.2e-03 7.9e-05 1.00e+00 1.664409171e+02 1.664438833e+02 6.5e-10 2.40
73 1.1e-06 8.1e-03 7.1e-05 1.00e+00 1.664411130e+02 1.664437826e+02 5.9e-10 2.43
74 1.0e-06 8.1e-03 6.4e-05 1.00e+00 1.664412893e+02 1.664436919e+02 5.3e-10 2.47
75 9.2e-07 8.0e-03 5.7e-05 1.00e+00 1.664414478e+02 1.664436102e+02 4.8e-10 2.50
76 8.3e-07 8.0e-03 5.2e-05 1.00e+00 1.664415905e+02 1.664435366e+02 4.3e-10 2.53
77 7.4e-07 8.0e-03 4.6e-05 1.00e+00 1.664417188e+02 1.664434704e+02 3.9e-10 2.57
78 6.7e-07 7.9e-03 4.2e-05 1.00e+00 1.664418343e+02 1.664434107e+02 3.5e-10 2.60
79 6.0e-07 7.9e-03 3.8e-05 1.00e+00 1.664419381e+02 1.664433569e+02 3.1e-10 2.63
80 5.4e-07 7.9e-03 3.4e-05 1.00e+00 1.664420315e+02 1.664433085e+02 2.8e-10 2.66
81 4.9e-07 7.8e-03 3.0e-05 1.00e+00 1.664421156e+02 1.664432648e+02 2.5e-10 2.70
82 4.4e-07 7.8e-03 2.7e-05 1.00e+00 1.664421912e+02 1.664432255e+02 2.3e-10 2.73
83 4.0e-07 7.8e-03 2.5e-05 1.00e+00 1.664422592e+02 1.664431901e+02 2.1e-10 2.76
84 3.6e-07 7.8e-03 2.2e-05 1.00e+00 1.664423204e+02 1.664431582e+02 1.8e-10 2.80
85 3.2e-07 7.7e-03 2.0e-05 1.00e+00 1.664423754e+02 1.664431294e+02 1.7e-10 2.83
86 2.9e-07 7.7e-03 1.8e-05 1.00e+00 1.664424250e+02 1.664431035e+02 1.5e-10 2.86
87 2.6e-07 7.7e-03 1.6e-05 1.00e+00 1.664424696e+02 1.664430803e+02 1.3e-10 2.89
88 2.3e-07 7.7e-03 1.5e-05 9.99e-01 1.664425097e+02 1.664430594e+02 1.2e-10 2.93
89 2.1e-07 7.7e-03 1.3e-05 1.00e+00 1.664425458e+02 1.664430405e+02 1.1e-10 2.96
90 1.9e-07 7.6e-03 1.2e-05 1.00e+00 1.664425783e+02 1.664430235e+02 9.8e-11 2.99
91 1.7e-07 7.6e-03 1.1e-05 1.00e+00 1.664426075e+02 1.664430082e+02 8.8e-11 3.03
92 1.5e-07 7.6e-03 9.6e-06 9.99e-01 1.664426338e+02 1.664429945e+02 8.0e-11 3.06
93 1.4e-07 7.6e-03 8.6e-06 1.00e+00 1.664426575e+02 1.664429821e+02 7.2e-11 3.10
94 1.2e-07 7.6e-03 7.8e-06 1.00e+00 1.664426789e+02 1.664429709e+02 6.4e-11 3.13
95 1.1e-07 7.6e-03 7.0e-06 9.95e-01 1.664426980e+02 1.664429610e+02 5.8e-11 3.16
96 1.0e-07 7.6e-03 6.3e-06 1.00e+00 1.664427153e+02 1.664429519e+02 5.2e-11 3.20
97 9.1e-08 7.5e-03 5.7e-06 9.99e-01 1.664427309e+02 1.664429438e+02 4.7e-11 3.23
98 8.1e-08 7.5e-03 5.1e-06 1.00e+00 1.664427449e+02 1.664429365e+02 4.2e-11 3.26
99 7.3e-08 7.5e-03 4.6e-06 1.00e+00 1.664427574e+02 1.664429299e+02 3.8e-11 3.29
100 6.6e-08 7.5e-03 4.1e-06 9.98e-01 1.664427688e+02 1.664429240e+02 3.4e-11 3.33
101 5.9e-08 7.5e-03 3.7e-06 9.95e-01 1.664427790e+02 1.664429187e+02 3.1e-11 3.36
102 5.3e-08 7.5e-03 3.3e-06 9.93e-01 1.664427881e+02 1.664429140e+02 2.8e-11 3.39
103 4.8e-08 7.5e-03 3.0e-06 1.00e+00 1.664427964e+02 1.664429097e+02 2.5e-11 3.42
104 4.3e-08 6.7e-03 2.7e-06 1.01e+00 1.664428043e+02 1.664429055e+02 2.3e-11 3.46
105 3.9e-08 6.1e-03 2.4e-06 9.95e-01 1.664428109e+02 1.664429020e+02 2.0e-11 3.49
106 3.5e-08 5.4e-03 2.2e-06 1.01e+00 1.664428172e+02 1.664428987e+02 1.8e-11 3.52
107 3.2e-08 4.9e-03 2.0e-06 9.87e-01 1.664428225e+02 1.664428960e+02 1.7e-11 3.55
108 2.8e-08 4.4e-03 1.8e-06 9.89e-01 1.664428273e+02 1.664428935e+02 1.5e-11 3.59
109 2.6e-08 4.0e-03 1.6e-06 1.01e+00 1.664428319e+02 1.664428911e+02 1.3e-11 3.62
110 2.3e-08 3.6e-03 1.4e-06 1.03e+00 1.664428362e+02 1.664428888e+02 1.2e-11 3.66
111 2.1e-08 3.2e-03 1.3e-06 1.00e+00 1.664428397e+02 1.664428870e+02 1.1e-11 3.69
112 1.9e-08 2.9e-03 1.2e-06 9.94e-01 1.664428428e+02 1.664428854e+02 9.9e-12 3.73
113 1.7e-08 2.6e-03 1.0e-06 1.01e+00 1.664428457e+02 1.664428838e+02 9.0e-12 3.76
114 1.5e-08 2.3e-03 9.4e-07 1.00e+00 1.664428482e+02 1.664428825e+02 8.1e-12 3.80
115 1.4e-08 2.1e-03 8.5e-07 1.06e+00 1.664428511e+02 1.664428809e+02 7.5e-12 3.83
116 1.3e-08 1.9e-03 7.6e-07 1.06e+00 1.664428536e+02 1.664428796e+02 6.9e-12 3.87
117 1.1e-08 1.7e-03 6.9e-07 1.01e+00 1.664428553e+02 1.664428787e+02 6.3e-12 3.90
118 1.1e-08 1.5e-03 6.2e-07 1.06e+00 1.664428573e+02 1.664428776e+02 5.8e-12 3.94
119 9.7e-09 1.4e-03 5.6e-07 1.03e+00 1.664428588e+02 1.664428768e+02 5.3e-12 3.97
120 8.7e-09 1.2e-03 5.0e-07 1.25e+00 1.664428599e+02 1.664428765e+02 4.8e-12 4.01
121 8.3e-09 1.1e-03 4.5e-07 9.60e-01 1.664428610e+02 1.664428760e+02 4.3e-12 4.04
122 7.7e-09 1.0e-03 4.1e-07 1.39e+00 1.664428619e+02 1.664428758e+02 3.9e-12 4.08
123 7.4e-09 9.4e-04 3.8e-07 1.21e+00 1.664428631e+02 1.664428748e+02 3.9e-12 4.11
124 6.8e-09 8.5e-04 3.4e-07 8.16e-01 1.664428639e+02 1.664428744e+02 3.5e-12 4.14
125 7.1e-09 7.6e-04 3.1e-07 1.13e+00 1.664428650e+02 1.664428737e+02 3.3e-12 4.18
126 1.1e-08 6.9e-04 2.8e-07 1.80e+00 1.664428653e+02 1.664428741e+02 3.0e-12 4.21
127 1.1e-08 6.2e-04 2.5e-07 3.38e+00 1.664428660e+02 1.664428730e+02 2.6e-12 4.25
128 8.8e-09 5.6e-04 2.2e-07 1.86e+00 1.664428666e+02 1.664428725e+02 2.3e-12 4.29
129 9.2e-09 5.0e-04 2.0e-07 5.52e-01 1.664428669e+02 1.664428725e+02 2.1e-12 4.32
130 8.5e-09 4.5e-04 1.8e-07 6.87e-01 1.664428673e+02 1.664428724e+02 1.9e-12 4.35
131 8.0e-09 4.1e-04 1.6e-07 6.77e-01 1.664428676e+02 1.664428723e+02 1.7e-12 4.38
132 7.4e-09 3.7e-04 1.5e-07 1.13e+00 1.664428681e+02 1.664428720e+02 1.6e-12 4.42
133 8.5e-09 3.3e-04 1.3e-07 5.61e-01 1.664428685e+02 1.664428718e+02 1.5e-12 4.45
134 1.4e-08 3.4e-05 1.4e-08 2.10e-01 1.664428710e+02 1.664428716e+02 4.3e-13 4.48
Interior-point optimizer terminated. Time: 4.49.
Optimizer terminated. Time: 4.52
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644287105e+02 Viol. con: 5e-07 var: 0e+00
Dual. obj: 1.6644287158e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.54 seconds.
Using solver 'mosek'
Solving for 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
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 : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3451 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 : 1.50e+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 -1.281180371e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259625297e+05 3.560276316e+00 4.8e-01 0.15
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197266989e+05 1.024017090e+01 1.8e-01 0.18
3 2.9e+02 3.6e+02 1.6e+04 -8.38e-01 -1.150518104e+05 6.456771451e+01 1.2e-01 0.21
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.124051998e+05 2.300159774e+03 1.2e-01 0.25
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.417801228e+04 9.757647729e+03 3.3e-02 0.28
6 3.0e+01 3.8e+01 1.7e+03 -1.91e-01 -4.024543367e+04 1.031409060e+04 1.3e-02 0.31
7 1.8e+01 2.3e+01 1.0e+03 3.95e-01 -2.697127104e+04 6.726987648e+03 7.9e-03 0.34
8 9.6e+00 1.2e+01 5.3e+02 6.31e-01 -1.531805992e+04 3.871913000e+03 4.2e-03 0.38
9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.875087487e+03 1.809585087e+03 1.6e-03 0.41
10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.096665703e+03 1.203045193e+03 8.9e-04 0.44
11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.219597357e+03 6.194931301e+02 3.8e-04 0.48
12 8.2e-01 1.1e+00 4.6e+01 9.52e-01 -1.202439635e+03 5.954665798e+02 3.7e-04 0.52
13 5.1e-01 6.6e-01 2.9e+01 9.70e-01 -7.004900762e+02 4.298281959e+02 2.3e-04 0.55
14 3.1e-01 4.1e-01 1.7e+01 1.00e+00 -3.460715696e+02 3.419737708e+02 1.4e-04 0.59
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.601547769e+01 2.150269116e+02 5.0e-05 0.62
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.213553798e+01 2.053674892e+02 3.8e-05 0.66
17 4.1e-02 8.5e-02 2.3e+00 1.02e+00 9.690837060e+01 1.867805848e+02 1.9e-05 0.70
18 1.4e-02 8.5e-02 8.0e-01 1.02e+00 1.432885544e+02 1.740786930e+02 6.5e-06 0.73
19 5.8e-03 7.4e-02 3.4e-01 1.01e+00 1.564975793e+02 1.694320631e+02 2.7e-06 0.77
20 1.5e-03 1.5e-01 9.0e-02 1.01e+00 1.639323708e+02 1.673713364e+02 7.3e-07 0.80
21 7.1e-04 1.0e-01 4.4e-02 9.87e-01 1.652260364e+02 1.668860409e+02 3.6e-07 0.83
22 2.3e-04 1.1e-01 1.4e-02 9.99e-01 1.660352948e+02 1.665837474e+02 1.2e-07 0.87
23 1.1e-04 8.6e-02 6.9e-03 1.01e+00 1.662379150e+02 1.665007283e+02 5.8e-08 0.90
24 5.3e-05 7.5e-02 3.4e-03 1.01e+00 1.663316549e+02 1.664611553e+02 2.9e-08 0.94
25 4.8e-05 6.8e-02 3.1e-03 1.01e+00 1.663421699e+02 1.664587932e+02 2.6e-08 0.97
26 4.3e-05 6.2e-02 2.8e-03 1.01e+00 1.663501866e+02 1.664551084e+02 2.3e-08 1.01
27 3.9e-05 5.7e-02 2.5e-03 1.01e+00 1.663575007e+02 1.664519082e+02 2.1e-08 1.04
28 3.5e-05 5.2e-02 2.3e-03 1.01e+00 1.663640430e+02 1.664489899e+02 1.9e-08 1.08
29 3.1e-05 4.7e-02 2.0e-03 1.01e+00 1.663699207e+02 1.664463570e+02 1.7e-08 1.11
30 2.8e-05 4.4e-02 1.8e-03 1.01e+00 1.663751988e+02 1.664439784e+02 1.5e-08 1.15
31 2.5e-05 4.0e-02 1.6e-03 1.00e+00 1.663799395e+02 1.664418306e+02 1.4e-08 1.19
32 2.3e-05 3.7e-02 1.5e-03 1.00e+00 1.663841979e+02 1.664398912e+02 1.2e-08 1.22
33 2.1e-05 3.4e-02 1.3e-03 1.00e+00 1.663880233e+02 1.664381402e+02 1.1e-08 1.27
34 1.9e-05 3.1e-02 1.2e-03 1.00e+00 1.663914600e+02 1.664365596e+02 1.0e-08 1.30
35 1.7e-05 2.9e-02 1.1e-03 1.00e+00 1.663945479e+02 1.664351329e+02 9.1e-09 1.34
36 1.5e-05 2.7e-02 9.7e-04 1.00e+00 1.663973224e+02 1.664338452e+02 8.2e-09 1.37
37 1.3e-05 2.5e-02 8.7e-04 1.00e+00 1.663998156e+02 1.664326831e+02 7.4e-09 1.41
38 1.2e-05 2.3e-02 7.9e-04 1.00e+00 1.664020562e+02 1.664316346e+02 6.6e-09 1.45
39 1.1e-05 2.2e-02 7.1e-04 1.00e+00 1.664040700e+02 1.664306885e+02 6.0e-09 1.49
40 9.8e-06 2.0e-02 6.4e-04 1.00e+00 1.664058799e+02 1.664298350e+02 5.4e-09 1.52
41 8.9e-06 1.9e-02 5.7e-04 1.00e+00 1.664075069e+02 1.664290652e+02 4.8e-09 1.55
42 8.0e-06 1.8e-02 5.2e-04 1.00e+00 1.664089694e+02 1.664283709e+02 4.3e-09 1.59
43 7.2e-06 1.7e-02 4.6e-04 1.00e+00 1.664102842e+02 1.664277447e+02 3.9e-09 1.62
44 6.5e-06 1.6e-02 4.2e-04 1.00e+00 1.664114663e+02 1.664271801e+02 3.5e-09 1.65
45 5.8e-06 1.5e-02 3.8e-04 1.00e+00 1.664125291e+02 1.664266711e+02 3.2e-09 1.69
46 5.2e-06 1.5e-02 3.4e-04 1.00e+00 1.664134848e+02 1.664262122e+02 2.9e-09 1.73
47 4.7e-06 1.4e-02 3.0e-04 1.00e+00 1.664143441e+02 1.664257985e+02 2.6e-09 1.76
48 4.2e-06 1.3e-02 2.7e-04 1.00e+00 1.664151169e+02 1.664254256e+02 2.3e-09 1.79
49 3.8e-06 1.3e-02 2.5e-04 1.00e+00 1.664158118e+02 1.664250894e+02 2.1e-09 1.83
50 3.4e-06 1.2e-02 2.2e-04 1.00e+00 1.664164367e+02 1.664247864e+02 1.9e-09 1.86
51 3.1e-06 1.2e-02 2.0e-04 1.00e+00 1.664169986e+02 1.664245133e+02 1.7e-09 1.89
52 2.8e-06 1.1e-02 1.8e-04 1.00e+00 1.664175040e+02 1.664242671e+02 1.5e-09 1.93
53 2.5e-06 1.1e-02 1.6e-04 1.00e+00 1.664179585e+02 1.664240453e+02 1.4e-09 1.96
54 2.3e-06 1.1e-02 1.5e-04 1.00e+00 1.664183674e+02 1.664238455e+02 1.2e-09 2.00
55 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664187353e+02 1.664236655e+02 1.1e-09 2.03
56 1.8e-06 1.0e-02 1.2e-04 1.00e+00 1.664190662e+02 1.664235034e+02 1.0e-09 2.07
57 1.6e-06 1.0e-02 1.1e-04 1.00e+00 1.664193639e+02 1.664233574e+02 9.0e-10 2.10
58 1.5e-06 9.8e-03 9.6e-05 1.00e+00 1.664196317e+02 1.664232258e+02 8.1e-10 2.14
59 1.3e-06 9.6e-03 8.6e-05 1.00e+00 1.664198727e+02 1.664231074e+02 7.3e-10 2.17
60 1.2e-06 9.4e-03 7.8e-05 1.00e+00 1.664200895e+02 1.664230007e+02 6.5e-10 2.20
61 1.1e-06 9.3e-03 7.0e-05 1.00e+00 1.664202845e+02 1.664229046e+02 5.9e-10 2.24
62 9.7e-07 9.1e-03 6.3e-05 1.00e+00 1.664204600e+02 1.664228181e+02 5.3e-10 2.27
63 8.7e-07 9.0e-03 5.7e-05 1.00e+00 1.664206179e+02 1.664227402e+02 4.8e-10 2.30
64 7.8e-07 8.9e-03 5.1e-05 1.00e+00 1.664207599e+02 1.664226700e+02 4.3e-10 2.33
65 7.1e-07 8.8e-03 4.6e-05 1.00e+00 1.664208877e+02 1.664226068e+02 3.9e-10 2.37
66 6.4e-07 8.7e-03 4.1e-05 1.00e+00 1.664210027e+02 1.664225498e+02 3.5e-10 2.40
67 5.7e-07 8.6e-03 3.7e-05 1.00e+00 1.664211061e+02 1.664224985e+02 3.1e-10 2.44
68 5.1e-07 8.5e-03 3.3e-05 1.00e+00 1.664211991e+02 1.664224522e+02 2.8e-10 2.47
69 4.6e-07 8.4e-03 3.0e-05 1.00e+00 1.664212828e+02 1.664224106e+02 2.5e-10 2.50
70 4.2e-07 8.3e-03 2.7e-05 1.00e+00 1.664213581e+02 1.664223731e+02 2.3e-10 2.53
71 3.8e-07 8.3e-03 2.4e-05 1.00e+00 1.664214258e+02 1.664223393e+02 2.1e-10 2.57
72 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664214867e+02 1.664223088e+02 1.8e-10 2.60
73 3.0e-07 8.2e-03 2.0e-05 1.00e+00 1.664215415e+02 1.664222814e+02 1.7e-10 2.63
74 2.7e-07 8.1e-03 1.8e-05 1.00e+00 1.664215908e+02 1.664222567e+02 1.5e-10 2.67
75 2.5e-07 8.1e-03 1.6e-05 1.00e+00 1.664216352e+02 1.664222345e+02 1.3e-10 2.70
76 2.2e-07 8.0e-03 1.4e-05 9.99e-01 1.664216751e+02 1.664222145e+02 1.2e-10 2.73
77 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664217110e+02 1.664221964e+02 1.1e-10 2.77
78 1.8e-07 7.9e-03 1.2e-05 9.98e-01 1.664217433e+02 1.664221802e+02 9.8e-11 2.80
79 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664217724e+02 1.664221656e+02 8.8e-11 2.83
80 1.5e-07 7.9e-03 9.4e-06 9.99e-01 1.664217986e+02 1.664221525e+02 7.9e-11 2.86
81 1.3e-07 7.9e-03 8.5e-06 1.00e+00 1.664218222e+02 1.664221406e+02 7.2e-11 2.90
82 1.2e-07 7.8e-03 7.6e-06 1.00e+00 1.664218435e+02 1.664221299e+02 6.4e-11 2.93
83 1.1e-07 7.8e-03 6.9e-06 1.00e+00 1.664218626e+02 1.664221203e+02 5.8e-11 2.97
84 9.5e-08 7.8e-03 6.2e-06 1.00e+00 1.664218797e+02 1.664221117e+02 5.2e-11 3.00
85 8.6e-08 7.8e-03 5.6e-06 1.00e+00 1.664218952e+02 1.664221039e+02 4.7e-11 3.03
86 7.7e-08 7.7e-03 5.0e-06 9.95e-01 1.664219091e+02 1.664220969e+02 4.2e-11 3.07
87 7.0e-08 7.7e-03 4.5e-06 1.00e+00 1.664219216e+02 1.664220907e+02 3.8e-11 3.10
88 6.3e-08 6.9e-03 4.1e-06 1.00e+00 1.664219329e+02 1.664220849e+02 3.4e-11 3.13
89 5.6e-08 6.3e-03 3.7e-06 9.96e-01 1.664219430e+02 1.664220799e+02 3.1e-11 3.17
90 5.1e-08 5.6e-03 3.3e-06 9.95e-01 1.664219521e+02 1.664220753e+02 2.8e-11 3.20
91 4.6e-08 5.1e-03 3.0e-06 1.01e+00 1.664219605e+02 1.664220711e+02 2.5e-11 3.23
92 4.1e-08 4.6e-03 2.7e-06 9.92e-01 1.664219678e+02 1.664220674e+02 2.3e-11 3.26
93 3.7e-08 4.1e-03 2.4e-06 1.00e+00 1.664219745e+02 1.664220641e+02 2.0e-11 3.30
94 3.3e-08 3.7e-03 2.2e-06 1.01e+00 1.664219806e+02 1.664220610e+02 1.8e-11 3.33
95 3.0e-08 3.3e-03 1.9e-06 9.97e-01 1.664219859e+02 1.664220583e+02 1.6e-11 3.36
96 2.7e-08 3.0e-03 1.7e-06 9.88e-01 1.664219907e+02 1.664220559e+02 1.5e-11 3.40
97 2.4e-08 2.7e-03 1.6e-06 1.03e+00 1.664219957e+02 1.664220533e+02 1.4e-11 3.43
98 2.2e-08 2.4e-03 1.4e-06 1.02e+00 1.664219999e+02 1.664220511e+02 1.2e-11 3.47
99 2.0e-08 2.2e-03 1.3e-06 9.82e-01 1.664220033e+02 1.664220495e+02 1.1e-11 3.50
100 1.8e-08 2.0e-03 1.1e-06 1.00e+00 1.664220065e+02 1.664220479e+02 1.0e-11 3.53
101 1.6e-08 1.8e-03 1.0e-06 1.05e+00 1.664220099e+02 1.664220461e+02 9.2e-12 3.57
102 1.4e-08 1.6e-03 9.3e-07 9.86e-01 1.664220123e+02 1.664220449e+02 8.3e-12 3.60
103 1.3e-08 1.4e-03 8.4e-07 9.53e-01 1.664220144e+02 1.664220439e+02 7.5e-12 3.63
104 1.2e-08 1.3e-03 7.5e-07 1.01e+00 1.664220165e+02 1.664220429e+02 6.8e-12 3.67
105 1.1e-08 1.2e-03 6.8e-07 1.08e+00 1.664220188e+02 1.664220416e+02 6.3e-12 3.70
106 9.5e-09 1.0e-03 6.1e-07 1.01e+00 1.664220205e+02 1.664220408e+02 5.7e-12 3.73
107 8.6e-09 9.4e-04 5.5e-07 1.02e+00 1.664220219e+02 1.664220400e+02 5.2e-12 3.76
108 7.7e-09 8.4e-04 4.9e-07 9.34e-01 1.664220231e+02 1.664220395e+02 4.7e-12 3.80
109 6.9e-09 7.6e-04 4.4e-07 1.03e+00 1.664220244e+02 1.664220388e+02 4.3e-12 3.83
110 6.2e-09 6.8e-04 4.0e-07 8.78e-01 1.664220253e+02 1.664220384e+02 3.8e-12 3.86
111 5.6e-09 6.2e-04 3.6e-07 9.28e-01 1.664220262e+02 1.664220380e+02 3.5e-12 3.90
112 5.1e-09 5.5e-04 3.2e-07 9.22e-01 1.664220270e+02 1.664220377e+02 3.1e-12 3.93
113 4.6e-09 5.0e-04 2.9e-07 9.62e-01 1.664220277e+02 1.664220373e+02 2.8e-12 3.96
114 4.3e-09 4.5e-04 2.6e-07 1.09e+00 1.664220286e+02 1.664220368e+02 2.6e-12 3.99
115 4.0e-09 4.0e-04 2.4e-07 1.03e+00 1.664220292e+02 1.664220365e+02 2.4e-12 4.03
116 3.8e-09 3.6e-04 2.1e-07 9.69e-01 1.664220297e+02 1.664220362e+02 2.2e-12 4.06
117 2.4e-09 2.1e-05 1.3e-08 8.61e-01 1.664220339e+02 1.664220344e+02 2.5e-13 4.10
Interior-point optimizer terminated. Time: 4.10.
Optimizer terminated. Time: 4.12
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203395e+02 Viol. con: 8e-08 var: 0e+00
Dual. obj: 1.6642203436e+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 1768 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 : 1769
Cones : 0
Scalar variables : 6131
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 : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
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 : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3451 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 : 1.50e+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 -1.281171690e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259614428e+05 3.560064951e+00 4.8e-01 0.32
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197068259e+05 1.025352254e+01 1.8e-01 0.35
3 2.9e+02 3.6e+02 1.6e+04 -8.38e-01 -1.150279774e+05 6.481761899e+01 1.2e-01 0.38
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.123832082e+05 2.298633846e+03 1.2e-01 0.41
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.396346535e+04 9.786615054e+03 3.3e-02 0.43
6 3.0e+01 3.8e+01 1.7e+03 -1.88e-01 -4.013433462e+04 1.027693572e+04 1.3e-02 0.46
7 1.8e+01 2.3e+01 1.0e+03 3.97e-01 -2.696800008e+04 6.723014554e+03 7.9e-03 0.49
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.520122730e+04 3.849446775e+03 4.2e-03 0.52
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.269745678e+03 1.687245899e+03 1.4e-03 0.54
10 1.6e+00 2.0e+00 8.6e+01 9.55e-01 -2.308435944e+03 1.041884966e+03 6.9e-04 0.57
11 1.0e+00 1.3e+00 5.8e+01 9.87e-01 -1.504106536e+03 7.650683676e+02 4.7e-04 0.61
12 8.8e-01 1.1e+00 4.9e+01 9.72e-01 -1.271651672e+03 6.591063006e+02 3.9e-04 0.63
13 4.6e-01 6.0e-01 2.6e+01 9.79e-01 -6.086035971e+02 4.195801702e+02 2.1e-04 0.66
14 2.4e-01 4.1e-01 1.4e+01 1.00e+00 -2.357868068e+02 2.978055772e+02 1.1e-04 0.69
15 9.5e-02 1.8e-01 5.4e+00 1.00e+00 -4.403805294e+00 2.074370738e+02 4.4e-05 0.72
16 8.8e-02 1.6e-01 5.0e+00 1.02e+00 1.377460366e+01 2.095617467e+02 4.1e-05 0.75
17 6.0e-02 1.1e-01 3.4e+00 1.02e+00 6.129886001e+01 1.956042199e+02 2.8e-05 0.78
18 3.3e-02 7.9e-02 1.9e+00 1.02e+00 1.095587326e+02 1.826764450e+02 1.5e-05 0.80
19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.514486625e+02 1.719167778e+02 4.3e-06 0.83
20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602343873e+02 1.684277061e+02 1.7e-06 0.87
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642869407e+02 1.671994134e+02 6.3e-07 0.90
22 8.4e-04 1.0e-01 5.1e-02 9.86e-01 1.650117745e+02 1.669391191e+02 4.2e-07 0.93
23 2.5e-04 1.1e-01 1.6e-02 9.88e-01 1.659829585e+02 1.665841697e+02 1.3e-07 0.95
24 9.6e-05 1.0e-01 6.1e-03 1.01e+00 1.662457097e+02 1.664769599e+02 5.2e-08 0.98
25 3.8e-05 9.5e-02 2.4e-03 1.01e+00 1.663439555e+02 1.664356588e+02 2.1e-08 1.01
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663784191e+02 1.664209237e+02 9.6e-09 1.04
27 1.6e-05 7.4e-02 1.0e-03 1.00e+00 1.663819533e+02 1.664202252e+02 8.7e-09 1.07
28 1.4e-05 6.7e-02 9.2e-04 1.01e+00 1.663845474e+02 1.664189844e+02 7.8e-09 1.10
29 1.3e-05 6.1e-02 8.2e-04 1.00e+00 1.663869258e+02 1.664179136e+02 7.0e-09 1.13
30 1.1e-05 5.6e-02 7.4e-04 1.00e+00 1.663890560e+02 1.664169406e+02 6.3e-09 1.16
31 1.0e-05 5.1e-02 6.7e-04 1.00e+00 1.663909717e+02 1.664160642e+02 5.7e-09 1.18
32 9.2e-06 4.7e-02 6.0e-04 1.00e+00 1.663926936e+02 1.664152738e+02 5.1e-09 1.21
33 8.3e-06 4.3e-02 5.4e-04 1.00e+00 1.663942415e+02 1.664145613e+02 4.6e-09 1.24
34 7.5e-06 3.9e-02 4.9e-04 1.00e+00 1.663956331e+02 1.664139190e+02 4.1e-09 1.27
35 6.7e-06 3.6e-02 4.4e-04 1.00e+00 1.663968843e+02 1.664133399e+02 3.7e-09 1.30
36 6.0e-06 3.3e-02 3.9e-04 1.00e+00 1.663980093e+02 1.664128181e+02 3.4e-09 1.33
37 5.4e-06 3.1e-02 3.5e-04 1.00e+00 1.663990210e+02 1.664123478e+02 3.0e-09 1.36
38 4.9e-06 2.9e-02 3.2e-04 1.00e+00 1.663999307e+02 1.664119240e+02 2.7e-09 1.39
39 4.4e-06 2.6e-02 2.9e-04 1.00e+00 1.664007488e+02 1.664115421e+02 2.4e-09 1.42
40 4.0e-06 2.5e-02 2.6e-04 1.00e+00 1.664014845e+02 1.664111979e+02 2.2e-09 1.45
41 3.6e-06 2.3e-02 2.3e-04 1.00e+00 1.664021462e+02 1.664108878e+02 2.0e-09 1.48
42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027412e+02 1.664106083e+02 1.8e-09 1.50
43 2.9e-06 2.0e-02 1.9e-04 1.00e+00 1.664032763e+02 1.664103564e+02 1.6e-09 1.53
44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037576e+02 1.664101295e+02 1.4e-09 1.56
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664041906e+02 1.664099251e+02 1.3e-09 1.59
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045801e+02 1.664097410e+02 1.2e-09 1.62
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049305e+02 1.664095752e+02 1.1e-09 1.65
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052458e+02 1.664094259e+02 9.5e-10 1.68
49 1.5e-06 1.4e-02 1.0e-04 1.00e+00 1.664055294e+02 1.664092914e+02 8.5e-10 1.71
50 1.4e-06 1.4e-02 9.0e-05 1.00e+00 1.664057846e+02 1.664091704e+02 7.7e-10 1.74
51 1.2e-06 1.3e-02 8.1e-05 1.00e+00 1.664060142e+02 1.664090614e+02 6.9e-10 1.76
52 1.1e-06 1.2e-02 7.3e-05 1.00e+00 1.664062208e+02 1.664089632e+02 6.2e-10 1.79
53 1.0e-06 1.2e-02 6.6e-05 1.00e+00 1.664064067e+02 1.664088748e+02 5.6e-10 1.82
54 9.1e-07 1.2e-02 5.9e-05 1.00e+00 1.664065739e+02 1.664087952e+02 5.0e-10 1.86
55 8.2e-07 1.1e-02 5.3e-05 1.00e+00 1.664067243e+02 1.664087234e+02 4.5e-10 1.89
56 7.4e-07 1.1e-02 4.8e-05 1.00e+00 1.664068597e+02 1.664086589e+02 4.1e-10 1.92
57 6.6e-07 1.1e-02 4.3e-05 1.00e+00 1.664069814e+02 1.664086007e+02 3.7e-10 1.95
58 6.0e-07 1.0e-02 3.9e-05 1.00e+00 1.664070910e+02 1.664085483e+02 3.3e-10 1.98
59 5.4e-07 1.0e-02 3.5e-05 1.00e+00 1.664071895e+02 1.664085010e+02 3.0e-10 2.01
60 4.8e-07 9.7e-03 3.1e-05 1.00e+00 1.664072782e+02 1.664084585e+02 2.7e-10 2.04
61 4.3e-07 9.5e-03 2.8e-05 1.00e+00 1.664073579e+02 1.664084202e+02 2.4e-10 2.07
62 3.9e-07 9.3e-03 2.5e-05 1.00e+00 1.664074296e+02 1.664083857e+02 2.2e-10 2.10
63 3.5e-07 9.2e-03 2.3e-05 9.99e-01 1.664074941e+02 1.664083546e+02 2.0e-10 2.13
64 3.2e-07 9.0e-03 2.1e-05 9.99e-01 1.664075521e+02 1.664083266e+02 1.8e-10 2.16
65 2.8e-07 8.9e-03 1.9e-05 1.00e+00 1.664076044e+02 1.664083014e+02 1.6e-10 2.18
66 2.6e-07 8.7e-03 1.7e-05 1.00e+00 1.664076513e+02 1.664082786e+02 1.4e-10 2.21
67 2.3e-07 8.6e-03 1.5e-05 1.00e+00 1.664076936e+02 1.664082581e+02 1.3e-10 2.24
68 2.1e-07 8.5e-03 1.4e-05 1.00e+00 1.664077317e+02 1.664082397e+02 1.2e-10 2.27
69 1.9e-07 8.4e-03 1.2e-05 1.00e+00 1.664077659e+02 1.664082231e+02 1.0e-10 2.30
70 1.7e-07 8.3e-03 1.1e-05 9.99e-01 1.664077967e+02 1.664082082e+02 9.4e-11 2.33
71 1.5e-07 8.3e-03 9.9e-06 1.00e+00 1.664078244e+02 1.664081947e+02 8.4e-11 2.36
72 1.4e-07 8.2e-03 8.9e-06 1.00e+00 1.664078495e+02 1.664081825e+02 7.6e-11 2.39
73 1.2e-07 8.1e-03 8.0e-06 9.99e-01 1.664078719e+02 1.664081716e+02 6.8e-11 2.42
74 1.1e-07 8.1e-03 7.2e-06 1.00e+00 1.664078921e+02 1.664081618e+02 6.1e-11 2.44
75 9.9e-08 8.1e-03 6.5e-06 1.01e+00 1.664079105e+02 1.664081528e+02 5.5e-11 2.47
76 8.9e-08 8.0e-03 5.8e-06 1.00e+00 1.664079268e+02 1.664081449e+02 5.0e-11 2.51
77 8.0e-08 8.0e-03 5.2e-06 1.00e+00 1.664079415e+02 1.664081378e+02 4.5e-11 2.54
78 7.2e-08 7.9e-03 4.7e-06 1.00e+00 1.664079548e+02 1.664081313e+02 4.0e-11 2.57
79 6.5e-08 7.9e-03 4.3e-06 1.00e+00 1.664079667e+02 1.664081255e+02 3.6e-11 2.60
80 5.9e-08 7.1e-03 3.8e-06 1.01e+00 1.664079776e+02 1.664081202e+02 3.3e-11 2.63
81 5.3e-08 6.4e-03 3.4e-06 9.97e-01 1.664079872e+02 1.664081155e+02 3.0e-11 2.66
82 4.8e-08 5.8e-03 3.1e-06 9.88e-01 1.664079958e+02 1.664081114e+02 2.7e-11 2.69
83 4.3e-08 5.2e-03 2.8e-06 1.01e+00 1.664080038e+02 1.664081075e+02 2.4e-11 2.72
84 3.9e-08 4.7e-03 2.5e-06 9.96e-01 1.664080108e+02 1.664081041e+02 2.2e-11 2.74
85 3.5e-08 4.2e-03 2.3e-06 1.00e+00 1.664080171e+02 1.664081010e+02 1.9e-11 2.77
86 3.1e-08 3.8e-03 2.0e-06 9.93e-01 1.664080227e+02 1.664080983e+02 1.7e-11 2.80
87 2.8e-08 3.4e-03 1.8e-06 9.90e-01 1.664080278e+02 1.664080959e+02 1.6e-11 2.83
88 2.5e-08 3.1e-03 1.6e-06 9.85e-01 1.664080324e+02 1.664080937e+02 1.4e-11 2.86
89 2.3e-08 2.8e-03 1.5e-06 9.67e-01 1.664080365e+02 1.664080917e+02 1.3e-11 2.89
90 2.0e-08 2.5e-03 1.3e-06 9.96e-01 1.664080402e+02 1.664080899e+02 1.1e-11 2.92
91 1.8e-08 2.2e-03 1.2e-06 9.86e-01 1.664080435e+02 1.664080883e+02 1.0e-11 2.95
92 1.7e-08 2.0e-03 1.1e-06 1.01e+00 1.664080466e+02 1.664080868e+02 9.3e-12 2.99
93 1.5e-08 1.8e-03 9.7e-07 1.03e+00 1.664080496e+02 1.664080853e+02 8.5e-12 3.02
94 1.3e-08 1.6e-03 8.8e-07 1.01e+00 1.664080520e+02 1.664080841e+02 7.7e-12 3.05
95 1.2e-08 1.5e-03 7.9e-07 1.01e+00 1.664080542e+02 1.664080830e+02 6.9e-12 3.08
96 1.1e-08 1.3e-03 7.1e-07 1.00e+00 1.664080562e+02 1.664080820e+02 6.2e-12 3.11
97 9.8e-09 1.2e-03 6.4e-07 9.36e-01 1.664080579e+02 1.664080812e+02 5.6e-12 3.14
98 8.8e-09 1.1e-03 5.7e-07 9.02e-01 1.664080594e+02 1.664080805e+02 5.0e-12 3.18
99 8.0e-09 9.6e-04 5.2e-07 9.40e-01 1.664080608e+02 1.664080799e+02 4.5e-12 3.21
100 7.2e-09 8.6e-04 4.7e-07 9.28e-01 1.664080621e+02 1.664080793e+02 4.1e-12 3.24
101 6.5e-09 7.8e-04 4.2e-07 9.72e-01 1.664080632e+02 1.664080787e+02 3.7e-12 3.28
102 5.8e-09 7.0e-04 3.8e-07 9.76e-01 1.664080643e+02 1.664080782e+02 3.3e-12 3.31
103 5.3e-09 6.3e-04 3.4e-07 8.94e-01 1.664080652e+02 1.664080778e+02 3.0e-12 3.34
104 4.8e-09 5.7e-04 3.1e-07 9.02e-01 1.664080660e+02 1.664080774e+02 2.7e-12 3.38
105 4.3e-09 5.1e-04 2.7e-07 1.04e+00 1.664080669e+02 1.664080770e+02 2.5e-12 3.41
106 3.9e-09 4.6e-04 2.5e-07 8.50e-01 1.664080675e+02 1.664080767e+02 2.2e-12 3.44
107 3.6e-09 4.1e-04 2.2e-07 8.67e-01 1.664080681e+02 1.664080764e+02 2.0e-12 3.48
108 3.3e-09 3.7e-04 2.0e-07 9.65e-01 1.664080687e+02 1.664080761e+02 1.8e-12 3.51
109 2.9e-09 3.3e-04 1.8e-07 1.06e+00 1.664080693e+02 1.664080758e+02 1.7e-12 3.55
110 2.6e-09 3.0e-04 1.6e-07 1.06e+00 1.664080698e+02 1.664080755e+02 1.5e-12 3.58
111 2.4e-09 2.7e-04 1.5e-07 1.11e+00 1.664080704e+02 1.664080751e+02 1.5e-12 3.61
112 2.3e-09 2.4e-04 1.3e-07 1.08e+00 1.664080708e+02 1.664080749e+02 1.4e-12 3.65
113 2.5e-09 2.2e-04 1.2e-07 1.09e+00 1.664080712e+02 1.664080747e+02 1.3e-12 3.68
114 2.4e-09 2.0e-04 1.1e-07 1.16e+00 1.664080716e+02 1.664080745e+02 1.3e-12 3.71
115 2.8e-09 1.8e-04 9.6e-08 1.97e+00 1.664080718e+02 1.664080743e+02 1.1e-12 3.75
116 2.1e-09 1.6e-04 8.6e-08 9.50e-01 1.664080720e+02 1.664080742e+02 1.0e-12 3.79
117 6.4e-09 1.8e-05 9.9e-09 7.58e-01 1.664080734e+02 1.664080737e+02 2.0e-13 3.82
Interior-point optimizer terminated. Time: 3.82.
Optimizer terminated. Time: 3.84
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807343e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6640807372e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.86 seconds.
Solving took 9 GP solves and 45.5 seconds.
Solves with these variables bounded:
value near lower bound: Mission1.CruiseAlt
value near upper bound: Mission1.T_{t_{4.1_{max-Cruise}}}, Mission1.Aircraft.Engine.Thrust.\alpha_{max}, Mission1.Aircraft.Wing.WingNoStruct.A_{tri}, Mission1.TotalTime, Mission1.Aircraft.HorizontalTail.WingBox.M_{r_{out}}, Mission1.Aircraft.LandingGear.d_{nacelle}
Checking for relaxed constants...
Solution check warning: Primal solution computed cost did not match solver-returned cost: 1.4957407883022085e+110 vs 1.49570283907e+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: 3.705396275102276e+72 vs 3.70526973853e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682507]
Total Aircraft Weight Percent Diff: [-21.48057808]
Engine Weight Percent Diff: -56.27828841318466
Fuselage Weight Percent Diff: -0.8697458992253143
Payload Weight Percent Diff: [-0.04003562]
VT Weight Percent Diff: -8.60804370681957
HT Weight Percent Diff: -93.23331815943013
Wing Weight Percent Diff: 8.267489697825916
WING DIFFERENCES
Wing Span Percent Diff: -0.029992075894573818
Wing Area Percent Diff: 32.89981423207006
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.48875622479499
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.02236513204879
VT Area Percent Diff: -60.38685762819865
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54718769]
L/D Percent Diff: [24.01023017]
Nacelle Cd Percent Diff: [-94.27642114]
HT Cd Percent Diff: [-80.76941521] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00297656] dimensionless
Wing Cd percent Diff: [-14.22913862]
Induced Drag Cd Percent Diff: [1.21951511]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.5703584]
FUSELAGE DIFFERENCES
Weight of HB material: -38.36131623550589
Weight of VB material: 87.81430197741645
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260519]