![[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-20190827155013)
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: 0.02
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 : 0.14 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 -1.286549258e+05 2.000000000e+00 1.0e+00 0.17
1 1.1e+03 1.5e+03 6.3e+04 -9.71e-01 -1.266024922e+05 3.598693670e+00 4.9e-01 0.20
2 4.2e+02 5.5e+02 2.4e+04 -9.38e-01 -1.201551142e+05 1.049723412e+01 1.8e-01 0.24
3 2.9e+02 3.7e+02 1.6e+04 -8.36e-01 -1.156934257e+05 6.529361624e+01 1.3e-01 0.27
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.132263681e+05 2.119352011e+03 1.3e-01 0.30
5 8.8e+01 1.2e+02 5.0e+03 -7.53e-01 -8.093604042e+04 8.548147696e+03 3.9e-02 0.33
6 3.7e+01 4.8e+01 2.1e+03 -2.92e-01 -4.777912696e+04 1.028826299e+04 1.6e-02 0.36
7 2.1e+01 2.8e+01 1.2e+03 2.57e-01 -3.169519463e+04 7.234712816e+03 9.5e-03 0.40
8 9.4e+00 1.2e+01 5.3e+02 5.39e-01 -1.514945135e+04 4.205067936e+03 4.2e-03 0.44
9 5.5e+00 7.2e+00 3.1e+02 8.14e-01 -8.814222119e+03 2.847748667e+03 2.5e-03 0.47
10 1.4e+00 1.8e+00 7.8e+01 9.08e-01 -2.053760908e+03 9.408839157e+02 6.1e-04 0.51
11 7.0e-01 9.2e-01 4.0e+01 9.94e-01 -8.378819341e+02 7.264710682e+02 3.2e-04 0.54
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.838983752e+02 5.661965124e+02 2.2e-04 0.58
13 3.6e-01 7.9e-01 2.1e+01 9.79e-01 -3.176267395e+02 4.899351444e+02 1.6e-04 0.62
14 1.7e-01 3.8e-01 9.9e+00 9.96e-01 -1.967388643e+01 3.675580758e+02 7.9e-05 0.65
15 5.5e-02 1.6e-01 3.3e+00 9.95e-01 1.620939163e+02 2.906286565e+02 2.7e-05 0.69
16 3.2e-02 1.4e-01 1.9e+00 1.00e+00 1.996499288e+02 2.749097542e+02 1.6e-05 0.73
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.445324462e+02 2.572720737e+02 2.8e-06 0.76
18 1.5e-03 1.3e-01 9.7e-02 1.00e+00 2.509417918e+02 2.547011544e+02 8.3e-07 0.82
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527811526e+02 2.540259852e+02 2.8e-07 0.86
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532872695e+02 2.538371102e+02 1.2e-07 0.89
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533284787e+02 2.538233497e+02 1.1e-07 0.92
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533644277e+02 2.538097870e+02 1.0e-07 0.96
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 1.04
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 1.11
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534969087e+02 2.537598421e+02 5.9e-08 1.14
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535159710e+02 2.537526045e+02 5.3e-08 1.18
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535331180e+02 2.537460828e+02 4.8e-08 1.21
30 7.4e-05 3.5e-02 4.9e-03 1.00e+00 2.535485429e+02 2.537402069e+02 4.3e-08 1.24
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535624191e+02 2.537349132e+02 3.9e-08 1.28
32 6.0e-05 3.0e-02 4.0e-03 1.00e+00 2.535749025e+02 2.537301444e+02 3.5e-08 1.31
33 5.4e-05 2.7e-02 3.6e-03 1.00e+00 2.535861332e+02 2.537258487e+02 3.1e-08 1.35
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535962370e+02 2.537219792e+02 2.8e-08 1.38
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536053274e+02 2.537184940e+02 2.5e-08 1.41
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536135060e+02 2.537153548e+02 2.3e-08 1.45
37 3.5e-05 2.1e-02 2.4e-03 1.00e+00 2.536208644e+02 2.537125276e+02 2.1e-08 1.48
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536274851e+02 2.537099813e+02 1.9e-08 1.52
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536334421e+02 2.537076882e+02 1.7e-08 1.55
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536388020e+02 2.537056231e+02 1.5e-08 1.58
41 2.3e-05 1.6e-02 1.6e-03 1.00e+00 2.536436247e+02 2.537037635e+02 1.4e-08 1.62
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536479643e+02 2.537020890e+02 1.2e-08 1.65
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536518690e+02 2.537005811e+02 1.1e-08 1.69
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536553826e+02 2.536992235e+02 9.9e-09 1.72
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536585443e+02 2.536980010e+02 8.9e-09 1.76
46 1.4e-05 1.3e-02 9.2e-04 1.00e+00 2.536613894e+02 2.536969005e+02 8.0e-09 1.80
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536639497e+02 2.536959096e+02 7.2e-09 1.83
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536662536e+02 2.536950175e+02 6.5e-09 1.87
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536683269e+02 2.536942144e+02 5.8e-09 1.90
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536701927e+02 2.536934915e+02 5.2e-09 1.94
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536718717e+02 2.536928407e+02 4.7e-09 1.97
52 7.2e-06 1.0e-02 4.9e-04 1.00e+00 2.536733827e+02 2.536922548e+02 4.2e-09 2.01
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536747425e+02 2.536917274e+02 3.8e-09 2.04
54 5.9e-06 9.7e-03 3.9e-04 1.00e+00 2.536759662e+02 2.536912527e+02 3.4e-09 2.08
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770675e+02 2.536908254e+02 3.1e-09 2.11
56 4.8e-06 9.2e-03 3.2e-04 1.00e+00 2.536780586e+02 2.536904407e+02 2.8e-09 2.15
57 4.3e-06 9.1e-03 2.9e-04 1.00e+00 2.536789505e+02 2.536900944e+02 2.5e-09 2.18
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797532e+02 2.536897827e+02 2.3e-09 2.21
59 3.5e-06 8.7e-03 2.3e-04 1.00e+00 2.536804755e+02 2.536895021e+02 2.0e-09 2.25
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811256e+02 2.536892496e+02 1.8e-09 2.28
61 1.2e-06 3.4e-03 8.2e-05 1.00e+00 2.536846947e+02 2.536878616e+02 7.1e-10 2.32
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849233e+02 2.536877735e+02 6.4e-10 2.35
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862379e+02 2.536872619e+02 2.3e-10 2.39
64 3.5e-07 9.8e-04 2.4e-05 1.00e+00 2.536863117e+02 2.536872332e+02 2.1e-10 2.42
65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863780e+02 2.536872074e+02 1.9e-10 2.46
66 2.9e-07 7.9e-04 1.9e-05 1.00e+00 2.536864377e+02 2.536871841e+02 1.7e-10 2.49
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864914e+02 2.536871632e+02 1.5e-10 2.53
68 2.3e-07 6.4e-04 1.6e-05 1.00e+00 2.536865397e+02 2.536871444e+02 1.4e-10 2.57
69 2.1e-07 5.8e-04 1.4e-05 1.00e+00 2.536865832e+02 2.536871274e+02 1.2e-10 2.60
70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866224e+02 2.536871121e+02 1.1e-10 2.63
71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866576e+02 2.536870984e+02 9.9e-11 2.67
72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866893e+02 2.536870860e+02 8.9e-11 2.70
73 1.4e-07 3.8e-04 9.2e-06 1.00e+00 2.536867179e+02 2.536870749e+02 8.0e-11 2.74
74 1.2e-07 3.4e-04 8.3e-06 1.00e+00 2.536867436e+02 2.536870649e+02 7.2e-11 2.77
75 1.1e-07 3.1e-04 7.5e-06 1.00e+00 2.536867667e+02 2.536870559e+02 6.5e-11 2.80
76 1.0e-07 2.8e-04 6.7e-06 1.00e+00 2.536867875e+02 2.536870478e+02 5.9e-11 2.84
77 9.0e-08 2.5e-04 6.0e-06 1.00e+00 2.536868062e+02 2.536870405e+02 5.3e-11 2.87
78 8.1e-08 2.2e-04 5.4e-06 1.00e+00 2.536868231e+02 2.536870339e+02 4.7e-11 2.90
79 7.3e-08 2.0e-04 4.9e-06 1.00e+00 2.536868382e+02 2.536870280e+02 4.3e-11 2.94
80 6.5e-08 1.8e-04 4.4e-06 1.00e+00 2.536868519e+02 2.536870226e+02 3.8e-11 2.97
81 5.9e-08 1.6e-04 4.0e-06 1.00e+00 2.536868641e+02 2.536870178e+02 3.5e-11 3.01
82 5.3e-08 1.5e-04 3.6e-06 1.00e+00 2.536868752e+02 2.536870135e+02 3.1e-11 3.04
83 4.8e-08 1.3e-04 3.2e-06 1.00e+00 2.536868851e+02 2.536870096e+02 2.8e-11 3.08
84 4.3e-08 1.2e-04 2.9e-06 1.00e+00 2.536868941e+02 2.536870062e+02 2.5e-11 3.11
85 3.9e-08 1.1e-04 2.6e-06 1.00e+00 2.536869022e+02 2.536870030e+02 2.3e-11 3.15
86 3.5e-08 9.6e-05 2.3e-06 1.00e+00 2.536869094e+02 2.536870002e+02 2.0e-11 3.18
87 3.1e-08 8.6e-05 2.1e-06 1.00e+00 2.536869159e+02 2.536869976e+02 1.8e-11 3.21
88 2.8e-08 7.8e-05 1.9e-06 1.00e+00 2.536869218e+02 2.536869953e+02 1.7e-11 3.25
89 2.5e-08 7.0e-05 1.7e-06 1.00e+00 2.536869271e+02 2.536869933e+02 1.5e-11 3.28
90 2.3e-08 6.3e-05 1.5e-06 1.00e+00 2.536869318e+02 2.536869914e+02 1.3e-11 3.31
91 2.1e-08 5.7e-05 1.4e-06 1.00e+00 2.536869361e+02 2.536869897e+02 1.2e-11 3.35
92 1.8e-08 5.1e-05 1.2e-06 1.00e+00 2.536869400e+02 2.536869882e+02 1.1e-11 3.38
93 1.7e-08 4.6e-05 1.1e-06 1.00e+00 2.536869434e+02 2.536869869e+02 9.8e-12 3.42
94 1.5e-08 4.1e-05 1.0e-06 1.00e+00 2.536869466e+02 2.536869856e+02 8.8e-12 3.45
95 1.3e-08 3.7e-05 9.1e-07 1.00e+00 2.536869494e+02 2.536869845e+02 7.9e-12 3.49
96 1.2e-08 3.3e-05 8.2e-07 1.00e+00 2.536869519e+02 2.536869835e+02 7.1e-12 3.53
97 1.1e-08 3.0e-05 7.3e-07 9.99e-01 2.536869542e+02 2.536869827e+02 6.4e-12 3.56
98 9.8e-09 2.7e-05 6.6e-07 1.00e+00 2.536869562e+02 2.536869819e+02 5.8e-12 3.59
Interior-point optimizer terminated. Time: 3.60.
Optimizer terminated. Time: 3.62
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 3.64 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 : 0.05 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 -1.287360498e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265110231e+05 3.765083271e+00 4.7e-01 0.14
2 4.6e+02 6.0e+02 2.6e+04 -9.35e-01 -1.210809027e+05 9.892075703e+00 2.0e-01 0.17
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 0.26
6 3.6e+01 4.7e+01 2.0e+03 -2.50e-01 -4.672141027e+04 1.020378755e+04 1.6e-02 0.29
7 1.8e+01 2.4e+01 1.0e+03 2.80e-01 -2.779391351e+04 6.414826575e+03 8.1e-03 0.33
8 9.2e+00 1.2e+01 5.2e+02 6.08e-01 -1.476472233e+04 4.041024114e+03 4.1e-03 0.35
9 5.6e+00 7.3e+00 3.2e+02 8.20e-01 -9.111224248e+03 2.774448720e+03 2.5e-03 0.38
10 2.0e+00 2.6e+00 1.1e+02 9.05e-01 -3.122705163e+03 1.195419966e+03 8.8e-04 0.41
11 1.6e+00 2.1e+00 9.1e+01 9.74e-01 -2.491814037e+03 1.045767852e+03 7.2e-04 0.44
12 9.0e-01 1.3e+00 5.1e+01 9.76e-01 -1.305224189e+03 6.750623014e+02 4.0e-04 0.46
13 4.7e-01 7.3e-01 2.7e+01 9.85e-01 -5.931153693e+02 4.528538108e+02 2.1e-04 0.50
14 2.3e-01 3.6e-01 1.3e+01 9.97e-01 -2.041455843e+02 3.185247225e+02 1.1e-04 0.53
15 1.0e-01 1.7e-01 5.9e+00 1.00e+00 6.363134553e+00 2.384155264e+02 4.8e-05 0.56
16 5.4e-02 1.1e-01 3.1e+00 1.00e+00 8.470040305e+01 2.067535687e+02 2.5e-05 0.60
17 1.1e-02 1.5e-01 7.0e-01 1.00e+00 1.527923566e+02 1.799084461e+02 5.8e-06 0.63
18 6.2e-03 1.0e-01 3.8e-01 1.01e+00 1.616036194e+02 1.764886362e+02 3.2e-06 0.66
19 1.8e-03 1.1e-01 1.2e-01 1.01e+00 1.691302021e+02 1.736215397e+02 9.8e-07 0.69
20 4.9e-04 1.2e-01 3.2e-02 1.01e+00 1.715040313e+02 1.727335439e+02 2.7e-07 0.72
21 1.7e-04 1.0e-01 1.1e-02 1.00e+00 1.720902965e+02 1.725234541e+02 9.7e-08 0.74
22 1.4e-04 8.6e-02 9.1e-03 1.00e+00 1.721496464e+02 1.724997935e+02 7.9e-08 0.77
23 6.4e-05 7.6e-02 4.2e-03 1.00e+00 1.722876612e+02 1.724485688e+02 3.6e-08 0.80
24 5.7e-05 6.9e-02 3.8e-03 1.00e+00 1.723003973e+02 1.724452282e+02 3.3e-08 0.83
25 5.2e-05 6.3e-02 3.4e-03 1.00e+00 1.723108298e+02 1.724411723e+02 2.9e-08 0.87
26 4.6e-05 5.8e-02 3.0e-03 1.00e+00 1.723202759e+02 1.724375804e+02 2.6e-08 0.90
27 4.2e-05 5.3e-02 2.7e-03 1.00e+00 1.723287548e+02 1.724343257e+02 2.4e-08 0.94
28 3.8e-05 4.8e-02 2.5e-03 1.00e+00 1.723363728e+02 1.724313839e+02 2.1e-08 0.97
29 3.4e-05 4.4e-02 2.2e-03 1.00e+00 1.723432186e+02 1.724287263e+02 1.9e-08 1.00
30 3.0e-05 4.1e-02 2.0e-03 1.00e+00 1.723493709e+02 1.724263259e+02 1.7e-08 1.04
31 2.7e-05 3.7e-02 1.8e-03 1.00e+00 1.723549008e+02 1.724241587e+02 1.6e-08 1.07
32 2.5e-05 3.4e-02 1.6e-03 1.00e+00 1.723598716e+02 1.724222025e+02 1.4e-08 1.11
33 2.2e-05 3.2e-02 1.5e-03 1.00e+00 1.723643406e+02 1.724204372e+02 1.3e-08 1.14
34 2.0e-05 2.9e-02 1.3e-03 1.00e+00 1.723683586e+02 1.724188447e+02 1.1e-08 1.17
35 1.8e-05 2.7e-02 1.2e-03 1.00e+00 1.723719716e+02 1.724174084e+02 1.0e-08 1.22
36 1.6e-05 2.5e-02 1.1e-03 1.00e+00 1.723752205e+02 1.724161131e+02 9.2e-09 1.25
37 1.5e-05 2.4e-02 9.6e-04 1.00e+00 1.723781424e+02 1.724149452e+02 8.3e-09 1.29
38 1.3e-05 2.2e-02 8.6e-04 1.00e+00 1.723807701e+02 1.724138923e+02 7.5e-09 1.32
39 1.2e-05 2.1e-02 7.7e-04 1.00e+00 1.723831335e+02 1.724129432e+02 6.7e-09 1.35
40 1.1e-05 1.9e-02 7.0e-04 1.00e+00 1.723852593e+02 1.724120878e+02 6.0e-09 1.39
41 9.6e-06 1.8e-02 6.3e-04 1.00e+00 1.723871714e+02 1.724113168e+02 5.4e-09 1.42
42 8.6e-06 1.7e-02 5.6e-04 1.00e+00 1.723888913e+02 1.724106221e+02 4.9e-09 1.46
43 7.7e-06 1.6e-02 5.1e-04 1.00e+00 1.723904386e+02 1.724099961e+02 4.4e-09 1.49
44 7.0e-06 1.5e-02 4.6e-04 1.00e+00 1.723918304e+02 1.724094322e+02 4.0e-09 1.52
45 6.3e-06 1.5e-02 4.1e-04 1.00e+00 1.723930825e+02 1.724089241e+02 3.6e-09 1.56
46 5.6e-06 1.4e-02 3.7e-04 1.00e+00 1.723942090e+02 1.724084664e+02 3.2e-09 1.59
47 5.1e-06 1.3e-02 3.3e-04 1.00e+00 1.723952225e+02 1.724080541e+02 2.9e-09 1.62
48 4.6e-06 1.3e-02 3.0e-04 1.00e+00 1.723961343e+02 1.724076827e+02 2.6e-09 1.66
49 4.1e-06 1.2e-02 2.7e-04 1.00e+00 1.723969546e+02 1.724073483e+02 2.3e-09 1.69
50 3.7e-06 1.2e-02 2.4e-04 1.00e+00 1.723976927e+02 1.724070470e+02 2.1e-09 1.73
51 3.3e-06 1.1e-02 2.2e-04 1.00e+00 1.723983569e+02 1.724067757e+02 1.9e-09 1.77
52 3.0e-06 1.1e-02 2.0e-04 1.00e+00 1.723989544e+02 1.724065314e+02 1.7e-09 1.80
53 2.7e-06 1.1e-02 1.8e-04 1.00e+00 1.723994921e+02 1.724063114e+02 1.5e-09 1.84
54 2.4e-06 1.0e-02 1.6e-04 1.00e+00 1.723999759e+02 1.724061132e+02 1.4e-09 1.87
55 2.2e-06 1.0e-02 1.4e-04 1.00e+00 1.724004112e+02 1.724059348e+02 1.2e-09 1.90
56 2.0e-06 9.8e-03 1.3e-04 1.00e+00 1.724008029e+02 1.724057742e+02 1.1e-09 1.94
57 1.8e-06 9.6e-03 1.2e-04 1.00e+00 1.724011554e+02 1.724056296e+02 1.0e-09 1.97
58 1.6e-06 9.4e-03 1.0e-04 1.00e+00 1.724014725e+02 1.724054994e+02 9.1e-10 2.00
59 1.4e-06 9.2e-03 9.4e-05 1.00e+00 1.724017579e+02 1.724053821e+02 8.2e-10 2.03
60 1.3e-06 9.0e-03 8.5e-05 1.00e+00 1.724020147e+02 1.724052765e+02 7.3e-10 2.06
61 1.2e-06 8.9e-03 7.6e-05 1.00e+00 1.724022458e+02 1.724051815e+02 6.6e-10 2.10
62 1.0e-06 8.8e-03 6.9e-05 1.00e+00 1.724024538e+02 1.724050959e+02 5.9e-10 2.13
63 9.4e-07 8.6e-03 6.2e-05 1.00e+00 1.724026409e+02 1.724050188e+02 5.4e-10 2.16
64 8.5e-07 8.5e-03 5.6e-05 9.99e-01 1.724028093e+02 1.724049495e+02 4.8e-10 2.19
65 7.6e-07 8.4e-03 5.0e-05 1.00e+00 1.724029609e+02 1.724048869e+02 4.3e-10 2.23
66 6.9e-07 8.3e-03 4.5e-05 1.00e+00 1.724030972e+02 1.724048307e+02 3.9e-10 2.26
67 6.2e-07 8.2e-03 4.1e-05 1.00e+00 1.724032199e+02 1.724047801e+02 3.5e-10 2.29
68 5.6e-07 8.2e-03 3.6e-05 1.00e+00 1.724033303e+02 1.724047345e+02 3.2e-10 2.32
69 5.0e-07 8.1e-03 3.3e-05 9.99e-01 1.724034297e+02 1.724046935e+02 2.8e-10 2.35
70 4.5e-07 8.0e-03 3.0e-05 1.00e+00 1.724035191e+02 1.724046565e+02 2.6e-10 2.38
71 4.1e-07 8.0e-03 2.7e-05 1.00e+00 1.724035996e+02 1.724046232e+02 2.3e-10 2.41
72 3.6e-07 7.9e-03 2.4e-05 9.99e-01 1.724036720e+02 1.724045933e+02 2.1e-10 2.45
73 3.3e-07 7.9e-03 2.2e-05 9.99e-01 1.724037371e+02 1.724045664e+02 1.9e-10 2.48
74 3.0e-07 7.8e-03 1.9e-05 1.00e+00 1.724037958e+02 1.724045421e+02 1.7e-10 2.51
75 2.7e-07 7.8e-03 1.7e-05 1.00e+00 1.724038485e+02 1.724045203e+02 1.5e-10 2.55
76 2.4e-07 7.7e-03 1.6e-05 9.99e-01 1.724038960e+02 1.724045006e+02 1.4e-10 2.57
77 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.724039388e+02 1.724044829e+02 1.2e-10 2.60
78 1.9e-07 7.6e-03 1.3e-05 9.98e-01 1.724039772e+02 1.724044669e+02 1.1e-10 2.63
79 1.7e-07 7.6e-03 1.1e-05 1.00e+00 1.724040118e+02 1.724044526e+02 9.9e-11 2.66
80 1.6e-07 7.6e-03 1.0e-05 9.98e-01 1.724040429e+02 1.724044397e+02 8.9e-11 2.68
81 1.4e-07 7.6e-03 9.3e-06 1.00e+00 1.724040710e+02 1.724044280e+02 8.0e-11 2.72
82 1.3e-07 7.5e-03 8.3e-06 9.98e-01 1.724040962e+02 1.724044176e+02 7.2e-11 2.75
83 1.1e-07 7.5e-03 7.5e-06 9.99e-01 1.724041189e+02 1.724044081e+02 6.5e-11 2.79
84 1.0e-07 7.5e-03 6.8e-06 1.00e+00 1.724041393e+02 1.724043996e+02 5.9e-11 2.82
85 9.3e-08 7.5e-03 6.1e-06 1.00e+00 1.724041577e+02 1.724043920e+02 5.3e-11 2.86
86 8.3e-08 7.4e-03 5.5e-06 9.98e-01 1.724041742e+02 1.724043851e+02 4.7e-11 2.90
87 7.5e-08 7.4e-03 4.9e-06 9.99e-01 1.724041891e+02 1.724043789e+02 4.3e-11 2.92
88 6.8e-08 7.4e-03 4.4e-06 1.00e+00 1.724042026e+02 1.724043733e+02 3.8e-11 2.96
89 6.1e-08 7.4e-03 4.0e-06 1.00e+00 1.724042146e+02 1.724043683e+02 3.5e-11 3.00
90 5.5e-08 6.7e-03 3.6e-06 1.01e+00 1.724042256e+02 1.724043636e+02 3.1e-11 3.03
91 4.9e-08 6.0e-03 3.2e-06 9.96e-01 1.724042354e+02 1.724043596e+02 2.8e-11 3.07
92 4.4e-08 5.4e-03 2.9e-06 1.00e+00 1.724042441e+02 1.724043559e+02 2.5e-11 3.11
93 4.0e-08 4.9e-03 2.6e-06 1.00e+00 1.724042521e+02 1.724043526e+02 2.3e-11 3.13
94 3.6e-08 4.4e-03 2.4e-06 9.97e-01 1.724042592e+02 1.724043497e+02 2.0e-11 3.17
95 3.2e-08 3.9e-03 2.1e-06 1.00e+00 1.724042656e+02 1.724043470e+02 1.8e-11 3.20
96 2.9e-08 3.5e-03 1.9e-06 1.01e+00 1.724042716e+02 1.724043444e+02 1.7e-11 3.24
97 2.6e-08 3.2e-03 1.7e-06 9.99e-01 1.724042768e+02 1.724043423e+02 1.5e-11 3.27
98 2.4e-08 2.9e-03 1.5e-06 9.91e-01 1.724042814e+02 1.724043404e+02 1.4e-11 3.30
99 2.1e-08 2.6e-03 1.4e-06 1.02e+00 1.724042859e+02 1.724043384e+02 1.2e-11 3.33
100 5.4e-09 6.3e-04 3.4e-07 9.91e-01 1.724043139e+02 1.724043269e+02 3.0e-12 3.37
101 4.9e-09 5.7e-04 3.1e-07 1.04e+00 1.724043150e+02 1.724043264e+02 2.8e-12 3.40
102 1.8e-09 1.3e-04 7.3e-08 1.03e+00 1.724043211e+02 1.724043237e+02 6.4e-13 3.43
Interior-point optimizer terminated. Time: 3.43.
Optimizer terminated. Time: 3.49
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432105e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.7240432368e+02 Viol. con: 0e+00 var: 9e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.51 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 : 0.04
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 -1.289933573e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.2e+04 -9.71e-01 -1.268320436e+05 3.623040465e+00 4.8e-01 0.12
2 4.4e+02 5.7e+02 2.4e+04 -9.36e-01 -1.208314543e+05 1.006709348e+01 1.9e-01 0.16
3 2.9e+02 3.8e+02 1.6e+04 -8.42e-01 -1.161088717e+05 6.041765542e+01 1.3e-01 0.19
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.136047847e+05 2.178773318e+03 1.3e-01 0.23
5 8.0e+01 1.0e+02 4.5e+03 -7.55e-01 -7.726435505e+04 9.484465531e+03 3.5e-02 0.26
6 4.0e+01 5.2e+01 2.2e+03 -2.31e-01 -5.058301468e+04 1.013811131e+04 1.8e-02 0.30
7 3.0e+01 3.9e+01 1.7e+03 2.22e-01 -4.153553724e+04 8.375058892e+03 1.3e-02 0.33
8 1.8e+01 2.4e+01 1.0e+03 3.84e-01 -2.815873523e+04 5.382454405e+03 8.0e-03 0.37
9 7.8e+00 1.0e+01 4.4e+02 6.11e-01 -1.288938731e+04 3.138026457e+03 3.4e-03 0.40
10 4.0e+00 5.2e+00 2.2e+02 8.50e-01 -6.391123228e+03 2.123850809e+03 1.8e-03 0.44
11 2.3e+00 2.9e+00 1.3e+02 9.42e-01 -3.531987123e+03 1.326723678e+03 1.0e-03 0.47
12 9.5e-01 1.2e+00 5.3e+01 9.75e-01 -1.390752533e+03 6.696255413e+02 4.2e-04 0.51
13 8.0e-01 1.1e+00 4.5e+01 9.74e-01 -1.179926355e+03 5.959730988e+02 3.6e-04 0.54
14 7.0e-01 9.2e-01 4.0e+01 9.78e-01 -9.977996835e+02 5.542106611e+02 3.1e-04 0.58
15 2.2e-01 3.1e-01 1.3e+01 9.82e-01 -2.190327979e+02 2.844499119e+02 1.0e-04 0.61
16 1.4e-01 1.9e-01 7.8e+00 1.01e+00 -7.252055544e+01 2.329621916e+02 6.2e-05 0.65
17 8.0e-02 1.2e-01 4.6e+00 1.01e+00 2.160922994e+01 2.014327446e+02 3.7e-05 0.68
18 7.9e-02 1.2e-01 4.6e+00 1.02e+00 2.347283231e+01 2.015297700e+02 3.7e-05 0.72
19 6.4e-02 1.1e-01 3.7e+00 1.02e+00 5.596200140e+01 2.013734227e+02 3.0e-05 0.75
20 1.9e-02 9.8e-02 1.1e+00 1.01e+00 1.337648352e+02 1.766892529e+02 8.9e-06 0.79
21 5.6e-03 2.1e-01 3.4e-01 1.02e+00 1.576872760e+02 1.706490676e+02 2.7e-06 0.82
22 5.1e-03 2.1e-01 3.1e-01 9.94e-01 1.584007446e+02 1.701883440e+02 2.5e-06 0.86
23 3.4e-03 1.4e-01 2.0e-01 9.75e-01 1.613703405e+02 1.691266739e+02 1.6e-06 0.90
24 1.6e-03 8.5e-02 9.5e-02 9.88e-01 1.644305793e+02 1.680714470e+02 7.6e-07 0.93
25 9.0e-04 6.5e-02 5.5e-02 1.01e+00 1.655755594e+02 1.676840322e+02 4.4e-07 0.96
26 3.7e-04 7.8e-02 2.3e-02 1.01e+00 1.664716530e+02 1.673528028e+02 1.9e-07 1.00
27 1.7e-04 7.6e-02 1.1e-02 1.01e+00 1.668057152e+02 1.672189854e+02 8.8e-08 1.03
28 1.6e-04 7.0e-02 9.8e-03 1.01e+00 1.668395634e+02 1.672116002e+02 7.9e-08 1.07
29 1.4e-04 6.4e-02 8.8e-03 1.01e+00 1.668653818e+02 1.672000740e+02 7.2e-08 1.10
30 1.3e-04 5.8e-02 7.9e-03 1.01e+00 1.668890644e+02 1.671902102e+02 6.4e-08 1.13
31 1.1e-04 5.3e-02 7.1e-03 1.01e+00 1.669102008e+02 1.671811642e+02 5.8e-08 1.17
32 1.0e-04 4.9e-02 6.4e-03 1.01e+00 1.669291655e+02 1.671729760e+02 5.2e-08 1.20
33 9.2e-05 4.5e-02 5.8e-03 1.01e+00 1.669461711e+02 1.671655533e+02 4.7e-08 1.24
34 8.3e-05 4.1e-02 5.2e-03 1.01e+00 1.669614260e+02 1.671588309e+02 4.2e-08 1.27
35 7.5e-05 3.8e-02 4.7e-03 1.01e+00 1.669751125e+02 1.671527445e+02 3.8e-08 1.31
36 6.7e-05 3.5e-02 4.2e-03 1.01e+00 1.669873942e+02 1.671472363e+02 3.4e-08 1.34
37 6.0e-05 3.2e-02 3.8e-03 1.00e+00 1.669984168e+02 1.671422529e+02 3.1e-08 1.37
38 5.4e-05 3.0e-02 3.4e-03 1.00e+00 1.670083111e+02 1.671377457e+02 2.8e-08 1.41
39 4.9e-05 2.7e-02 3.1e-03 1.00e+00 1.670171936e+02 1.671336702e+02 2.5e-08 1.44
40 4.4e-05 2.5e-02 2.8e-03 1.00e+00 1.670251689e+02 1.671299859e+02 2.2e-08 1.48
41 4.0e-05 2.4e-02 2.5e-03 1.00e+00 1.670323306e+02 1.671266562e+02 2.0e-08 1.51
42 3.6e-05 2.2e-02 2.2e-03 1.00e+00 1.670387624e+02 1.671236475e+02 1.8e-08 1.55
43 3.2e-05 2.1e-02 2.0e-03 1.00e+00 1.670445394e+02 1.671209296e+02 1.6e-08 1.58
44 2.9e-05 1.9e-02 1.8e-03 1.00e+00 1.670497287e+02 1.671184747e+02 1.5e-08 1.62
45 2.6e-05 1.8e-02 1.6e-03 1.00e+00 1.670543907e+02 1.671162579e+02 1.3e-08 1.65
46 2.3e-05 1.7e-02 1.5e-03 1.00e+00 1.670585793e+02 1.671142564e+02 1.2e-08 1.69
47 2.1e-05 1.6e-02 1.3e-03 1.00e+00 1.670623430e+02 1.671124496e+02 1.1e-08 1.73
48 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.670657252e+02 1.671108190e+02 9.7e-09 1.76
49 1.7e-05 1.5e-02 1.1e-03 1.00e+00 1.670687648e+02 1.671093474e+02 8.7e-09 1.79
50 1.5e-05 1.4e-02 9.6e-04 1.00e+00 1.670714968e+02 1.671080197e+02 7.9e-09 1.82
51 1.4e-05 1.3e-02 8.7e-04 1.00e+00 1.670739524e+02 1.671068220e+02 7.1e-09 1.85
52 1.2e-05 1.3e-02 7.8e-04 1.00e+00 1.670761599e+02 1.671057416e+02 6.4e-09 1.87
53 1.1e-05 1.2e-02 7.0e-04 1.00e+00 1.670781444e+02 1.671047672e+02 5.7e-09 1.90
54 1.0e-05 1.2e-02 6.3e-04 1.00e+00 1.670799286e+02 1.671038885e+02 5.2e-09 1.93
55 9.1e-06 1.2e-02 5.7e-04 1.00e+00 1.670815328e+02 1.671030964e+02 4.6e-09 1.96
56 8.2e-06 1.1e-02 5.1e-04 1.00e+00 1.670829754e+02 1.671023822e+02 4.2e-09 2.00
57 7.3e-06 1.1e-02 4.6e-04 1.00e+00 1.670842726e+02 1.671017385e+02 3.8e-09 2.04
58 6.6e-06 1.1e-02 4.1e-04 1.00e+00 1.670854392e+02 1.671011583e+02 3.4e-09 2.07
59 6.0e-06 1.0e-02 3.7e-04 1.00e+00 1.670864885e+02 1.671006354e+02 3.0e-09 2.11
60 5.4e-06 1.0e-02 3.4e-04 1.00e+00 1.670874321e+02 1.671001643e+02 2.7e-09 2.14
61 2.0e-06 3.9e-03 1.3e-04 1.00e+00 1.670926508e+02 1.670975301e+02 1.0e-09 2.18
62 8.2e-07 1.6e-03 5.2e-05 1.00e+00 1.670945835e+02 1.670965525e+02 4.2e-10 2.21
63 7.4e-07 1.4e-03 4.7e-05 9.99e-01 1.670947178e+02 1.670964901e+02 3.8e-10 2.25
64 4.5e-07 8.4e-04 2.8e-05 1.00e+00 1.670951831e+02 1.670962498e+02 2.3e-10 2.29
65 4.0e-07 7.6e-04 2.5e-05 9.99e-01 1.670952545e+02 1.670962146e+02 2.1e-10 2.32
66 3.6e-07 6.8e-04 2.3e-05 1.00e+00 1.670953178e+02 1.670961820e+02 1.9e-10 2.36
67 3.3e-07 6.1e-04 2.1e-05 1.00e+00 1.670953749e+02 1.670961526e+02 1.7e-10 2.39
68 2.9e-07 5.5e-04 1.8e-05 1.00e+00 1.670954261e+02 1.670961261e+02 1.5e-10 2.42
69 2.6e-07 5.0e-04 1.7e-05 9.99e-01 1.670954723e+02 1.670961022e+02 1.4e-10 2.46
70 2.4e-07 4.5e-04 1.5e-05 1.00e+00 1.670955138e+02 1.670960807e+02 1.2e-10 2.49
71 2.1e-07 4.0e-04 1.3e-05 1.00e+00 1.670955511e+02 1.670960614e+02 1.1e-10 2.53
72 1.9e-07 3.6e-04 1.2e-05 1.00e+00 1.670955847e+02 1.670960439e+02 9.9e-11 2.56
73 1.7e-07 3.3e-04 1.1e-05 1.00e+00 1.670956150e+02 1.670960283e+02 8.9e-11 2.59
74 1.6e-07 2.9e-04 9.8e-06 1.00e+00 1.670956422e+02 1.670960141e+02 8.0e-11 2.63
75 1.4e-07 2.6e-04 8.8e-06 9.97e-01 1.670956666e+02 1.670960015e+02 7.2e-11 2.66
76 1.3e-07 2.4e-04 8.0e-06 9.95e-01 1.670956887e+02 1.670959901e+02 6.5e-11 2.69
77 1.1e-07 2.1e-04 7.2e-06 9.98e-01 1.670957085e+02 1.670959798e+02 5.8e-11 2.73
78 1.0e-07 1.9e-04 6.4e-06 9.93e-01 1.670957263e+02 1.670959705e+02 5.3e-11 2.76
79 9.2e-08 1.7e-04 5.8e-06 1.00e+00 1.670957424e+02 1.670959622e+02 4.7e-11 2.79
80 8.3e-08 1.6e-04 5.2e-06 1.01e+00 1.670957573e+02 1.670959544e+02 4.3e-11 2.83
81 7.4e-08 1.4e-04 4.7e-06 9.96e-01 1.670957702e+02 1.670959476e+02 3.8e-11 2.85
82 6.7e-08 1.3e-04 4.2e-06 9.92e-01 1.670957819e+02 1.670959416e+02 3.5e-11 2.88
83 6.0e-08 1.1e-04 3.8e-06 1.00e+00 1.670957924e+02 1.670959362e+02 3.1e-11 2.91
84 5.4e-08 1.0e-04 3.4e-06 1.01e+00 1.670958023e+02 1.670959309e+02 2.8e-11 2.94
85 4.9e-08 9.2e-05 3.1e-06 9.99e-01 1.670958108e+02 1.670959265e+02 2.5e-11 2.98
86 4.4e-08 8.3e-05 2.8e-06 1.00e+00 1.670958184e+02 1.670959226e+02 2.3e-11 3.01
87 4.0e-08 7.5e-05 2.5e-06 1.01e+00 1.670958255e+02 1.670959189e+02 2.1e-11 3.05
88 3.6e-08 6.7e-05 2.2e-06 9.84e-01 1.670958316e+02 1.670959157e+02 1.9e-11 3.08
89 3.2e-08 6.1e-05 2.0e-06 9.89e-01 1.670958371e+02 1.670959129e+02 1.7e-11 3.12
90 2.9e-08 5.4e-05 1.8e-06 1.01e+00 1.670958423e+02 1.670959101e+02 1.5e-11 3.15
91 2.6e-08 4.9e-05 1.6e-06 1.01e+00 1.670958469e+02 1.670959077e+02 1.4e-11 3.18
92 2.3e-08 4.4e-05 1.5e-06 9.69e-01 1.670958509e+02 1.670959057e+02 1.2e-11 3.20
93 2.1e-08 4.0e-05 1.3e-06 1.02e+00 1.670958548e+02 1.670959037e+02 1.1e-11 3.23
94 1.9e-08 3.6e-05 1.2e-06 1.07e+00 1.670958590e+02 1.670959013e+02 1.0e-11 3.26
95 1.7e-08 3.2e-05 1.1e-06 9.75e-01 1.670958618e+02 1.670958999e+02 9.3e-12 3.30
96 1.5e-08 2.9e-05 9.7e-07 9.50e-01 1.670958643e+02 1.670958987e+02 8.4e-12 3.33
Interior-point optimizer terminated. Time: 3.33.
Optimizer terminated. Time: 3.37
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709586427e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709589867e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.39 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 : 0.08 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+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 -1.287223691e+05 2.000000000e+00 1.0e+00 0.11
1 1.1e+03 1.4e+03 6.2e+04 -9.71e-01 -1.265745922e+05 3.573316702e+00 4.8e-01 0.16
2 4.3e+02 5.6e+02 2.4e+04 -9.37e-01 -1.205265927e+05 1.002388896e+01 1.9e-01 0.19
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.157999143e+05 6.118629746e+01 1.3e-01 0.23
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.131568637e+05 2.298844825e+03 1.3e-01 0.26
5 7.4e+01 9.6e+01 4.1e+03 -7.54e-01 -7.427112238e+04 1.000771413e+04 3.3e-02 0.29
6 3.6e+01 4.7e+01 2.0e+03 -1.87e-01 -4.714057108e+04 1.036918949e+04 1.6e-02 0.32
7 2.2e+01 2.9e+01 1.2e+03 2.79e-01 -3.264228718e+04 7.165487765e+03 9.8e-03 0.35
8 1.3e+01 1.7e+01 7.5e+02 5.38e-01 -2.123237993e+04 4.817379081e+03 5.9e-03 0.38
9 5.2e+00 6.8e+00 2.9e+02 7.25e-01 -8.608788761e+03 2.403411955e+03 2.3e-03 0.41
10 2.4e+00 3.1e+00 1.3e+02 9.15e-01 -3.702507669e+03 1.407874437e+03 1.1e-03 0.44
11 1.7e+00 2.2e+00 9.6e+01 9.76e-01 -2.640485726e+03 1.068030144e+03 7.7e-04 0.47
12 8.3e-01 1.1e+00 4.7e+01 9.83e-01 -1.192532413e+03 6.082847362e+02 3.7e-04 0.51
13 7.5e-01 1.1e+00 4.2e+01 9.49e-01 -1.099909933e+03 5.664586556e+02 3.4e-04 0.53
14 6.1e-01 9.0e-01 3.4e+01 9.87e-01 -8.367812622e+02 5.022550153e+02 2.7e-04 0.56
15 1.8e-01 2.9e-01 1.0e+01 9.89e-01 -1.546876302e+02 2.532175553e+02 8.3e-05 0.59
16 1.0e-01 1.9e-01 6.0e+00 1.01e+00 -2.103437546e+01 2.119243926e+02 4.8e-05 0.63
17 1.0e-01 1.8e-01 5.9e+00 1.02e+00 -1.941531575e+01 2.121450160e+02 4.8e-05 0.66
18 8.8e-02 1.6e-01 5.1e+00 1.02e+00 1.322120600e+01 2.124334979e+02 4.1e-05 0.69
19 3.5e-02 9.9e-02 2.0e+00 1.01e+00 1.052512500e+02 1.836767015e+02 1.6e-05 0.73
20 1.0e-02 1.8e-01 6.0e-01 1.01e+00 1.495203967e+02 1.727015394e+02 4.9e-06 0.76
21 3.2e-03 1.8e-01 1.9e-01 1.01e+00 1.611601244e+02 1.684674167e+02 1.5e-06 0.79
22 1.2e-03 1.2e-01 7.6e-02 1.01e+00 1.645374285e+02 1.674168192e+02 6.2e-07 0.83
23 6.1e-04 8.4e-02 3.8e-02 1.00e+00 1.655940397e+02 1.670420244e+02 3.1e-07 0.87
24 2.4e-04 8.6e-02 1.5e-02 1.01e+00 1.662269480e+02 1.668061748e+02 1.3e-07 0.90
25 2.2e-04 7.9e-02 1.4e-02 1.01e+00 1.662726811e+02 1.667938401e+02 1.1e-07 0.93
26 2.0e-04 7.2e-02 1.2e-02 1.01e+00 1.663097010e+02 1.667786077e+02 1.0e-07 0.97
27 1.8e-04 6.6e-02 1.1e-02 1.01e+00 1.663431673e+02 1.667650711e+02 9.2e-08 1.00
28 1.6e-04 6.0e-02 1.0e-02 1.01e+00 1.663731619e+02 1.667527843e+02 8.3e-08 1.03
29 1.4e-04 5.5e-02 9.0e-03 1.01e+00 1.664000960e+02 1.667416821e+02 7.5e-08 1.07
30 1.3e-04 5.0e-02 8.1e-03 1.01e+00 1.664242760e+02 1.667316435e+02 6.7e-08 1.10
31 1.2e-04 4.6e-02 7.3e-03 1.01e+00 1.664459863e+02 1.667225686e+02 6.1e-08 1.13
32 1.0e-04 4.2e-02 6.6e-03 1.00e+00 1.664654801e+02 1.667143652e+02 5.4e-08 1.17
33 9.4e-05 3.9e-02 5.9e-03 1.00e+00 1.664829847e+02 1.667069500e+02 4.9e-08 1.21
34 8.4e-05 3.6e-02 5.3e-03 1.00e+00 1.664987039e+02 1.667002477e+02 4.4e-08 1.24
35 7.6e-05 3.3e-02 4.8e-03 1.00e+00 1.665128205e+02 1.666941899e+02 4.0e-08 1.27
36 6.8e-05 3.0e-02 4.3e-03 1.00e+00 1.665254983e+02 1.666887149e+02 3.6e-08 1.31
37 6.2e-05 2.8e-02 3.9e-03 1.00e+00 1.665368846e+02 1.666837669e+02 3.2e-08 1.34
38 5.5e-05 2.6e-02 3.5e-03 1.00e+00 1.665471113e+02 1.666792954e+02 2.9e-08 1.37
39 5.0e-05 2.4e-02 3.2e-03 1.00e+00 1.665562969e+02 1.666752548e+02 2.6e-08 1.41
40 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.665645479e+02 1.666716038e+02 2.3e-08 1.44
41 4.0e-05 2.1e-02 2.6e-03 1.00e+00 1.665719597e+02 1.666683052e+02 2.1e-08 1.47
42 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.665786180e+02 1.666653252e+02 1.9e-08 1.51
43 3.3e-05 1.9e-02 2.1e-03 1.00e+00 1.665845998e+02 1.666626334e+02 1.7e-08 1.54
44 2.9e-05 1.8e-02 1.9e-03 1.00e+00 1.665899740e+02 1.666602021e+02 1.5e-08 1.57
45 2.6e-05 1.7e-02 1.7e-03 1.00e+00 1.665948028e+02 1.666580063e+02 1.4e-08 1.61
46 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.665991416e+02 1.666560236e+02 1.2e-08 1.64
47 2.1e-05 1.5e-02 1.4e-03 1.00e+00 1.666030405e+02 1.666542333e+02 1.1e-08 1.67
48 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.666065443e+02 1.666526171e+02 1.0e-08 1.71
49 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.666096932e+02 1.666511582e+02 9.1e-09 1.74
50 1.6e-05 1.3e-02 9.9e-04 1.00e+00 1.666125233e+02 1.666498415e+02 8.2e-09 1.78
51 1.4e-05 1.3e-02 8.9e-04 1.00e+00 1.666150671e+02 1.666486532e+02 7.4e-09 1.81
52 1.3e-05 1.2e-02 8.0e-04 1.00e+00 1.666173537e+02 1.666475810e+02 6.6e-09 1.84
53 1.1e-05 1.2e-02 7.2e-04 1.00e+00 1.666194091e+02 1.666466137e+02 6.0e-09 1.88
54 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.666212569e+02 1.666457411e+02 5.4e-09 1.91
55 9.2e-06 1.1e-02 5.8e-04 1.00e+00 1.666229182e+02 1.666449539e+02 4.8e-09 1.95
56 8.3e-06 1.1e-02 5.3e-04 1.00e+00 1.666244118e+02 1.666442439e+02 4.4e-09 1.98
57 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.666257547e+02 1.666436037e+02 3.9e-09 2.00
58 6.7e-06 1.0e-02 4.3e-04 1.00e+00 1.666269622e+02 1.666430263e+02 3.5e-09 2.03
59 6.1e-06 1.0e-02 3.8e-04 1.00e+00 1.666280479e+02 1.666425057e+02 3.2e-09 2.07
60 5.5e-06 9.9e-03 3.5e-04 1.00e+00 1.666290242e+02 1.666420363e+02 2.9e-09 2.10
61 4.9e-06 9.7e-03 3.1e-04 1.00e+00 1.666299021e+02 1.666416131e+02 2.6e-09 2.13
62 4.4e-06 9.5e-03 2.8e-04 1.00e+00 1.666306916e+02 1.666412315e+02 2.3e-09 2.17
63 4.0e-06 9.4e-03 2.5e-04 1.00e+00 1.666314015e+02 1.666408874e+02 2.1e-09 2.20
64 3.6e-06 9.3e-03 2.3e-04 1.00e+00 1.666320398e+02 1.666405772e+02 1.9e-09 2.24
65 3.2e-06 9.2e-03 2.0e-04 1.00e+00 1.666326138e+02 1.666402976e+02 1.7e-09 2.28
66 2.9e-06 9.1e-03 1.8e-04 1.00e+00 1.666331299e+02 1.666400454e+02 1.5e-09 2.31
67 2.6e-06 9.0e-03 1.7e-04 1.00e+00 1.666335941e+02 1.666398180e+02 1.4e-09 2.34
68 2.3e-06 8.9e-03 1.5e-04 1.00e+00 1.666340116e+02 1.666396132e+02 1.2e-09 2.38
69 2.1e-06 8.8e-03 1.3e-04 1.00e+00 1.666343870e+02 1.666394285e+02 1.1e-09 2.41
70 1.9e-06 8.7e-03 1.2e-04 1.00e+00 1.666347247e+02 1.666392621e+02 1.0e-09 2.44
71 1.7e-06 8.6e-03 1.1e-04 1.00e+00 1.666350285e+02 1.666391121e+02 9.0e-10 2.48
72 1.5e-06 8.6e-03 9.8e-05 1.00e+00 1.666353017e+02 1.666389770e+02 8.1e-10 2.51
73 1.4e-06 8.5e-03 8.8e-05 1.00e+00 1.666355474e+02 1.666388552e+02 7.3e-10 2.54
74 1.2e-06 8.5e-03 7.9e-05 1.00e+00 1.666357685e+02 1.666387455e+02 6.5e-10 2.58
75 1.1e-06 8.4e-03 7.1e-05 1.00e+00 1.666359673e+02 1.666386466e+02 5.9e-10 2.61
76 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.666361461e+02 1.666385576e+02 5.3e-10 2.64
77 9.1e-07 8.3e-03 5.8e-05 1.00e+00 1.666363069e+02 1.666384772e+02 4.8e-10 2.68
78 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.666364515e+02 1.666384049e+02 4.3e-10 2.71
79 7.4e-07 8.3e-03 4.7e-05 1.00e+00 1.666365816e+02 1.666383396e+02 3.9e-10 2.74
80 6.6e-07 8.2e-03 4.2e-05 9.98e-01 1.666366986e+02 1.666382809e+02 3.5e-10 2.78
81 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.666368038e+02 1.666382279e+02 3.1e-10 2.81
82 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.666368984e+02 1.666381800e+02 2.8e-10 2.84
83 4.8e-07 8.1e-03 3.1e-05 1.00e+00 1.666369835e+02 1.666381369e+02 2.5e-10 2.88
84 4.3e-07 8.1e-03 2.8e-05 1.00e+00 1.666370599e+02 1.666380980e+02 2.3e-10 2.91
85 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.666371287e+02 1.666380630e+02 2.1e-10 2.95
86 3.5e-07 8.1e-03 2.2e-05 1.00e+00 1.666371906e+02 1.666380314e+02 1.8e-10 2.99
87 3.2e-07 8.0e-03 2.0e-05 9.98e-01 1.666372462e+02 1.666380030e+02 1.7e-10 3.02
88 2.9e-07 8.0e-03 1.8e-05 9.99e-01 1.666372962e+02 1.666379774e+02 1.5e-10 3.05
89 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.666373412e+02 1.666379542e+02 1.3e-10 3.08
90 2.3e-07 8.0e-03 1.5e-05 1.00e+00 1.666373817e+02 1.666379334e+02 1.2e-10 3.11
91 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.666374181e+02 1.666379146e+02 1.1e-10 3.14
92 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.666374509e+02 1.666378977e+02 9.8e-11 3.18
93 1.7e-07 7.9e-03 1.1e-05 9.99e-01 1.666374804e+02 1.666378825e+02 8.8e-11 3.21
94 1.5e-07 7.9e-03 9.6e-06 9.94e-01 1.666375069e+02 1.666378689e+02 8.0e-11 3.25
95 1.4e-07 7.1e-03 8.6e-06 1.00e+00 1.666375309e+02 1.666378565e+02 7.2e-11 3.29
96 1.2e-07 6.4e-03 7.8e-06 9.97e-01 1.666375523e+02 1.666378454e+02 6.5e-11 3.33
97 1.1e-07 5.7e-03 7.0e-06 9.98e-01 1.666375716e+02 1.666378355e+02 5.8e-11 3.36
98 9.9e-08 5.2e-03 6.3e-06 1.00e+00 1.666375890e+02 1.666378264e+02 5.2e-11 3.40
99 9.0e-08 4.6e-03 5.7e-06 1.00e+00 1.666376047e+02 1.666378183e+02 4.7e-11 3.44
100 8.1e-08 4.2e-03 5.1e-06 9.98e-01 1.666376187e+02 1.666378111e+02 4.2e-11 3.48
101 7.3e-08 3.8e-03 4.6e-06 1.00e+00 1.666376314e+02 1.666378045e+02 3.8e-11 3.50
102 6.5e-08 3.4e-03 4.1e-06 1.01e+00 1.666376432e+02 1.666377983e+02 3.4e-11 3.53
103 5.9e-08 3.0e-03 3.7e-06 1.00e+00 1.666376535e+02 1.666377930e+02 3.1e-11 3.56
104 5.3e-08 2.7e-03 3.4e-06 1.01e+00 1.666376629e+02 1.666377881e+02 2.8e-11 3.59
105 4.8e-08 2.5e-03 3.0e-06 9.97e-01 1.666376711e+02 1.666377839e+02 2.5e-11 3.62
106 4.3e-08 2.2e-03 2.7e-06 9.93e-01 1.666376785e+02 1.666377800e+02 2.3e-11 3.66
107 3.9e-08 2.0e-03 2.4e-06 1.00e+00 1.666376852e+02 1.666377766e+02 2.0e-11 3.69
108 3.5e-08 1.8e-03 2.2e-06 9.86e-01 1.666376913e+02 1.666377735e+02 1.8e-11 3.71
109 3.1e-08 1.6e-03 2.0e-06 1.03e+00 1.666376973e+02 1.666377703e+02 1.7e-11 3.74
110 2.8e-08 1.5e-03 1.8e-06 1.01e+00 1.666377022e+02 1.666377677e+02 1.5e-11 3.77
111 2.5e-08 1.3e-03 1.6e-06 9.93e-01 1.666377065e+02 1.666377655e+02 1.4e-11 3.80
112 2.3e-08 1.2e-03 1.4e-06 9.82e-01 1.666377104e+02 1.666377635e+02 1.2e-11 3.83
113 2.1e-08 1.1e-03 1.3e-06 9.81e-01 1.666377139e+02 1.666377618e+02 1.1e-11 3.85
114 1.8e-08 9.6e-04 1.2e-06 9.94e-01 1.666377170e+02 1.666377601e+02 9.9e-12 3.88
115 1.7e-08 8.6e-04 1.1e-06 1.02e+00 1.666377200e+02 1.666377585e+02 9.0e-12 3.92
116 1.5e-08 7.7e-04 9.5e-07 1.01e+00 1.666377227e+02 1.666377572e+02 8.1e-12 3.96
117 1.4e-08 7.0e-04 8.5e-07 1.01e+00 1.666377251e+02 1.666377559e+02 7.3e-12 3.99
118 1.2e-08 6.3e-04 7.7e-07 1.06e+00 1.666377277e+02 1.666377545e+02 6.8e-12 4.03
119 1.1e-08 5.6e-04 6.9e-07 1.04e+00 1.666377297e+02 1.666377534e+02 6.2e-12 4.06
120 9.9e-09 5.1e-04 6.2e-07 9.98e-01 1.666377313e+02 1.666377526e+02 5.6e-12 4.10
121 9.0e-09 4.6e-04 5.6e-07 1.03e+00 1.666377329e+02 1.666377517e+02 5.1e-12 4.14
122 8.0e-09 4.1e-04 5.0e-07 9.95e-01 1.666377342e+02 1.666377511e+02 4.6e-12 4.18
123 7.2e-09 3.7e-04 4.5e-07 9.64e-01 1.666377353e+02 1.666377506e+02 4.2e-12 4.22
124 6.5e-09 3.3e-04 4.1e-07 9.29e-01 1.666377363e+02 1.666377501e+02 3.7e-12 4.25
125 5.8e-09 3.0e-04 3.7e-07 9.11e-01 1.666377372e+02 1.666377497e+02 3.4e-12 4.29
126 5.3e-09 2.7e-04 3.3e-07 1.00e+00 1.666377380e+02 1.666377492e+02 3.0e-12 4.33
127 4.8e-09 2.4e-04 3.0e-07 1.02e+00 1.666377388e+02 1.666377488e+02 2.8e-12 4.37
128 4.4e-09 2.2e-04 2.7e-07 1.01e+00 1.666377395e+02 1.666377484e+02 2.5e-12 4.41
129 4.0e-09 2.0e-04 2.4e-07 1.06e+00 1.666377402e+02 1.666377480e+02 2.3e-12 4.44
130 1.8e-09 1.1e-05 1.3e-08 9.61e-01 1.666377451e+02 1.666377456e+02 1.6e-13 4.48
Interior-point optimizer terminated. Time: 4.48.
Optimizer terminated. Time: 4.53
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774514e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.6663774558e+02 Viol. con: 0e+00 var: 6e-05
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.55 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 : 0.04 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 -1.286831185e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265334253e+05 3.567088343e+00 4.8e-01 0.09
2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.203833889e+05 1.011405428e+01 1.9e-01 0.22
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.157187268e+05 6.273749079e+01 1.3e-01 0.30
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.130228172e+05 2.338221141e+03 1.3e-01 0.34
5 7.3e+01 9.4e+01 4.1e+03 -7.53e-01 -7.357943811e+04 1.002316740e+04 3.2e-02 0.42
6 3.6e+01 4.6e+01 2.0e+03 -1.77e-01 -4.627011486e+04 1.019621990e+04 1.6e-02 0.62
7 2.1e+01 2.7e+01 1.2e+03 2.94e-01 -3.070492349e+04 6.914875282e+03 9.1e-03 0.67
8 1.2e+01 1.6e+01 6.7e+02 5.70e-01 -1.915339356e+04 4.482148774e+03 5.3e-03 0.71
9 4.6e+00 6.0e+00 2.6e+02 7.58e-01 -7.553469035e+03 2.153729363e+03 2.0e-03 1.02
10 2.2e+00 2.9e+00 1.2e+02 9.29e-01 -3.373465108e+03 1.376802811e+03 9.8e-04 1.09
11 1.5e+00 1.9e+00 8.3e+01 9.78e-01 -2.235738492e+03 9.646764203e+02 6.6e-04 1.25
12 8.6e-01 1.1e+00 4.8e+01 9.85e-01 -1.232394391e+03 6.312352526e+02 3.8e-04 1.29
13 7.4e-01 1.0e+00 4.2e+01 9.55e-01 -1.072948020e+03 5.641436027e+02 3.3e-04 1.32
14 5.4e-01 7.4e-01 3.1e+01 9.87e-01 -7.296409299e+02 4.692343947e+02 2.4e-04 1.36
15 1.7e-01 2.5e-01 9.5e+00 9.92e-01 -1.273616886e+02 2.445748525e+02 7.6e-05 1.40
16 9.5e-02 1.6e-01 5.5e+00 1.01e+00 -7.083631149e+00 2.069367596e+02 4.4e-05 1.43
17 9.5e-02 1.5e-01 5.4e+00 1.02e+00 -5.471375342e+00 2.070291078e+02 4.4e-05 1.60
18 8.5e-02 1.4e-01 4.9e+00 1.02e+00 1.652793243e+01 2.075260700e+02 4.0e-05 1.68
19 4.8e-02 8.5e-02 2.8e+00 1.02e+00 8.250575729e+01 1.894234076e+02 2.2e-05 1.75
20 1.7e-02 8.5e-02 9.7e-01 1.02e+00 1.380120673e+02 1.751271933e+02 7.8e-06 2.22
21 4.4e-03 2.2e-01 2.6e-01 1.01e+00 1.592043163e+02 1.692781263e+02 2.1e-06 2.26
22 3.1e-03 2.4e-01 1.9e-01 1.00e+00 1.612881687e+02 1.684035338e+02 1.5e-06 2.29
23 1.1e-03 1.4e-01 7.0e-02 1.00e+00 1.646186689e+02 1.672796728e+02 5.6e-07 2.33
24 8.8e-04 1.1e-01 5.3e-02 9.94e-01 1.650702539e+02 1.671014681e+02 4.3e-07 2.36
25 3.7e-04 8.4e-02 2.3e-02 9.84e-01 1.659153346e+02 1.667827919e+02 1.9e-07 2.40
26 2.0e-04 6.9e-02 1.3e-02 1.01e+00 1.661933262e+02 1.666719239e+02 1.0e-07 2.59
27 1.5e-04 6.4e-02 9.6e-03 1.01e+00 1.662781568e+02 1.666422100e+02 7.9e-08 2.84
28 1.4e-04 5.8e-02 8.6e-03 1.01e+00 1.663050759e+02 1.666325461e+02 7.1e-08 3.12
29 1.2e-04 5.3e-02 7.8e-03 1.01e+00 1.663278677e+02 1.666225228e+02 6.4e-08 3.18
30 1.1e-04 4.8e-02 7.0e-03 1.01e+00 1.663485668e+02 1.666137070e+02 5.7e-08 3.21
31 1.0e-04 4.4e-02 6.3e-03 1.01e+00 1.663671035e+02 1.666056893e+02 5.2e-08 3.24
32 9.1e-05 4.1e-02 5.7e-03 1.01e+00 1.663837449e+02 1.665984395e+02 4.6e-08 3.27
33 8.2e-05 3.7e-02 5.1e-03 1.00e+00 1.663986782e+02 1.665918771e+02 4.2e-08 3.42
34 7.4e-05 3.4e-02 4.6e-03 1.00e+00 1.664120814e+02 1.665859395e+02 3.8e-08 3.51
35 6.6e-05 3.1e-02 4.1e-03 1.00e+00 1.664241125e+02 1.665805681e+02 3.4e-08 3.64
36 6.0e-05 2.9e-02 3.7e-03 1.00e+00 1.664349131e+02 1.665757100e+02 3.1e-08 3.91
37 5.4e-05 2.7e-02 3.3e-03 1.00e+00 1.664446102e+02 1.665713170e+02 2.7e-08 4.02
38 4.8e-05 2.5e-02 3.0e-03 1.00e+00 1.664533174e+02 1.665673455e+02 2.5e-08 4.12
39 4.3e-05 2.3e-02 2.7e-03 1.00e+00 1.664611367e+02 1.665637557e+02 2.2e-08 4.20
40 3.9e-05 2.2e-02 2.4e-03 1.00e+00 1.664681593e+02 1.665605115e+02 2.0e-08 4.24
41 3.5e-05 2.0e-02 2.2e-03 1.00e+00 1.664744669e+02 1.665575802e+02 1.8e-08 4.27
42 3.2e-05 1.9e-02 2.0e-03 1.00e+00 1.664801330e+02 1.665549321e+02 1.6e-08 4.30
43 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.664852232e+02 1.665525403e+02 1.5e-08 4.34
44 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.664897965e+02 1.665503803e+02 1.3e-08 4.38
45 2.3e-05 1.6e-02 1.4e-03 1.00e+00 1.664939058e+02 1.665484301e+02 1.2e-08 4.41
46 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664975985e+02 1.665466696e+02 1.1e-08 4.44
47 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.665009172e+02 1.665450807e+02 9.6e-09 4.48
48 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.665039001e+02 1.665436469e+02 8.6e-09 4.51
49 1.5e-05 1.3e-02 9.5e-04 1.00e+00 1.665065815e+02 1.665423534e+02 7.8e-09 4.56
50 1.4e-05 1.3e-02 8.5e-04 1.00e+00 1.665089920e+02 1.665411866e+02 7.0e-09 4.63
51 1.2e-05 1.2e-02 7.7e-04 1.00e+00 1.665111593e+02 1.665401345e+02 6.3e-09 4.74
52 1.1e-05 1.2e-02 6.9e-04 1.00e+00 1.665131080e+02 1.665391858e+02 5.7e-09 5.07
53 9.9e-06 1.1e-02 6.2e-04 1.00e+00 1.665148605e+02 1.665383306e+02 5.1e-09 5.26
54 8.9e-06 1.1e-02 5.6e-04 1.00e+00 1.665164366e+02 1.665375598e+02 4.6e-09 5.29
55 8.1e-06 1.1e-02 5.0e-04 1.00e+00 1.665178541e+02 1.665368651e+02 4.1e-09 5.32
56 7.2e-06 1.0e-02 4.5e-04 1.00e+00 1.665191291e+02 1.665362392e+02 3.7e-09 5.36
57 6.5e-06 1.0e-02 4.1e-04 1.00e+00 1.665202760e+02 1.665356752e+02 3.3e-09 5.39
58 5.9e-06 1.0e-02 3.7e-04 1.00e+00 1.665213077e+02 1.665351670e+02 3.0e-09 5.52
59 5.3e-06 9.8e-03 3.3e-04 1.00e+00 1.665222357e+02 1.665347093e+02 2.7e-09 5.57
60 4.8e-06 9.6e-03 3.0e-04 1.00e+00 1.665230705e+02 1.665342968e+02 2.4e-09 5.62
61 4.3e-06 9.5e-03 2.7e-04 1.00e+00 1.665238214e+02 1.665339252e+02 2.2e-09 5.66
62 3.9e-06 9.3e-03 2.4e-04 1.00e+00 1.665244968e+02 1.665335904e+02 2.0e-09 5.69
63 3.5e-06 9.2e-03 2.2e-04 1.00e+00 1.665251044e+02 1.665332887e+02 1.8e-09 5.73
64 3.1e-06 9.1e-03 1.9e-04 1.00e+00 1.665256508e+02 1.665330168e+02 1.6e-09 5.76
65 2.8e-06 9.0e-03 1.8e-04 1.00e+00 1.665261423e+02 1.665327718e+02 1.4e-09 5.81
66 2.5e-06 8.9e-03 1.6e-04 1.00e+00 1.665265844e+02 1.665325510e+02 1.3e-09 5.87
67 2.3e-06 8.8e-03 1.4e-04 1.00e+00 1.665269821e+02 1.665323521e+02 1.2e-09 5.94
68 2.0e-06 8.7e-03 1.3e-04 1.00e+00 1.665273399e+02 1.665321729e+02 1.1e-09 6.00
69 1.8e-06 8.6e-03 1.2e-04 1.00e+00 1.665276618e+02 1.665320116e+02 9.5e-10 6.06
70 1.7e-06 8.6e-03 1.0e-04 1.00e+00 1.665279513e+02 1.665318662e+02 8.5e-10 6.11
71 1.5e-06 8.5e-03 9.3e-05 1.00e+00 1.665282118e+02 1.665317352e+02 7.7e-10 6.16
72 1.3e-06 8.5e-03 8.4e-05 1.00e+00 1.665284462e+02 1.665316173e+02 6.9e-10 6.22
73 1.2e-06 8.4e-03 7.5e-05 1.00e+00 1.665286570e+02 1.665315110e+02 6.2e-10 6.30
74 1.1e-06 8.4e-03 6.8e-05 1.00e+00 1.665288466e+02 1.665314153e+02 5.6e-10 6.38
75 9.8e-07 8.3e-03 6.1e-05 1.00e+00 1.665290172e+02 1.665313290e+02 5.0e-10 6.47
76 8.8e-07 8.3e-03 5.5e-05 1.00e+00 1.665291707e+02 1.665312513e+02 4.5e-10 6.52
77 7.9e-07 8.2e-03 5.0e-05 1.00e+00 1.665293087e+02 1.665311813e+02 4.1e-10 6.56
78 7.1e-07 8.2e-03 4.5e-05 1.00e+00 1.665294328e+02 1.665311182e+02 3.7e-10 6.60
79 6.4e-07 8.2e-03 4.0e-05 9.99e-01 1.665295445e+02 1.665310614e+02 3.3e-10 6.63
80 5.8e-07 8.2e-03 3.6e-05 1.00e+00 1.665296449e+02 1.665310101e+02 3.0e-10 6.66
81 5.2e-07 8.1e-03 3.2e-05 1.00e+00 1.665297352e+02 1.665309639e+02 2.7e-10 6.70
82 4.7e-07 8.1e-03 2.9e-05 1.00e+00 1.665298164e+02 1.665309223e+02 2.4e-10 6.74
83 4.2e-07 8.1e-03 2.6e-05 1.00e+00 1.665298894e+02 1.665308847e+02 2.2e-10 6.77
84 3.8e-07 8.0e-03 2.4e-05 9.98e-01 1.665299550e+02 1.665308509e+02 1.9e-10 6.80
85 3.4e-07 8.0e-03 2.1e-05 1.00e+00 1.665300141e+02 1.665308204e+02 1.8e-10 6.84
86 3.1e-07 8.0e-03 1.9e-05 9.98e-01 1.665300672e+02 1.665307930e+02 1.6e-10 6.87
87 2.8e-07 8.0e-03 1.7e-05 9.99e-01 1.665301150e+02 1.665307682e+02 1.4e-10 6.90
88 2.5e-07 8.0e-03 1.6e-05 1.00e+00 1.665301579e+02 1.665307458e+02 1.3e-10 6.94
89 2.2e-07 7.9e-03 1.4e-05 1.00e+00 1.665301966e+02 1.665307257e+02 1.2e-10 6.97
90 2.0e-07 7.9e-03 1.3e-05 1.00e+00 1.665302314e+02 1.665307075e+02 1.0e-10 7.00
91 1.8e-07 7.9e-03 1.1e-05 9.99e-01 1.665302626e+02 1.665306912e+02 9.3e-11 7.03
92 1.6e-07 7.9e-03 1.0e-05 9.97e-01 1.665302908e+02 1.665306766e+02 8.4e-11 7.06
93 1.5e-07 7.9e-03 9.2e-06 1.00e+00 1.665303161e+02 1.665306633e+02 7.5e-11 7.09
94 1.3e-07 7.8e-03 8.3e-06 9.93e-01 1.665303389e+02 1.665306515e+02 6.8e-11 7.12
95 1.2e-07 7.8e-03 7.4e-06 1.00e+00 1.665303594e+02 1.665306407e+02 6.1e-11 7.14
96 1.1e-07 7.8e-03 6.7e-06 9.99e-01 1.665303778e+02 1.665306310e+02 5.5e-11 7.17
97 9.6e-08 7.8e-03 6.0e-06 1.00e+00 1.665303944e+02 1.665306223e+02 5.0e-11 7.20
98 8.7e-08 7.8e-03 5.4e-06 9.97e-01 1.665304094e+02 1.665306145e+02 4.5e-11 7.23
99 7.8e-08 7.7e-03 4.9e-06 9.86e-01 1.665304228e+02 1.665306075e+02 4.0e-11 7.26
100 7.0e-08 7.7e-03 4.4e-06 9.94e-01 1.665304349e+02 1.665306012e+02 3.6e-11 7.28
101 6.3e-08 6.9e-03 4.0e-06 1.01e+00 1.665304462e+02 1.665305952e+02 3.3e-11 7.31
102 5.7e-08 6.2e-03 3.6e-06 1.00e+00 1.665304559e+02 1.665305900e+02 2.9e-11 7.34
103 5.1e-08 5.6e-03 3.2e-06 9.88e-01 1.665304647e+02 1.665305855e+02 2.6e-11 7.37
104 4.6e-08 5.1e-03 2.9e-06 1.01e+00 1.665304729e+02 1.665305811e+02 2.4e-11 7.40
105 4.2e-08 4.5e-03 2.6e-06 9.91e-01 1.665304800e+02 1.665305774e+02 2.1e-11 7.42
106 3.7e-08 4.1e-03 2.3e-06 9.96e-01 1.665304864e+02 1.665305740e+02 1.9e-11 7.45
107 3.4e-08 3.7e-03 2.1e-06 1.03e+00 1.665304928e+02 1.665305706e+02 1.8e-11 7.48
108 3.0e-08 3.3e-03 1.9e-06 9.91e-01 1.665304979e+02 1.665305679e+02 1.6e-11 7.51
109 2.7e-08 3.0e-03 1.7e-06 1.01e+00 1.665305027e+02 1.665305653e+02 1.4e-11 7.54
110 2.5e-08 2.7e-03 1.5e-06 1.02e+00 1.665305071e+02 1.665305630e+02 1.3e-11 7.56
111 2.2e-08 2.4e-03 1.4e-06 1.05e+00 1.665305116e+02 1.665305605e+02 1.2e-11 7.60
112 2.0e-08 2.2e-03 1.2e-06 9.88e-01 1.665305148e+02 1.665305589e+02 1.1e-11 7.63
113 1.8e-08 2.0e-03 1.1e-06 9.90e-01 1.665305177e+02 1.665305574e+02 9.7e-12 7.66
114 1.6e-08 1.8e-03 1.0e-06 1.06e+00 1.665305210e+02 1.665305556e+02 9.0e-12 7.68
115 1.5e-08 1.6e-03 9.0e-07 1.03e+00 1.665305236e+02 1.665305542e+02 8.2e-12 7.71
116 1.3e-08 1.4e-03 8.1e-07 1.05e+00 1.665305260e+02 1.665305529e+02 7.6e-12 7.76
117 1.2e-08 1.3e-03 7.3e-07 1.03e+00 1.665305280e+02 1.665305518e+02 6.9e-12 7.79
118 1.1e-08 1.2e-03 6.6e-07 9.58e-01 1.665305296e+02 1.665305511e+02 6.2e-12 7.83
119 9.7e-09 1.0e-03 5.9e-07 1.00e+00 1.665305310e+02 1.665305503e+02 5.6e-12 7.86
120 8.8e-09 9.4e-04 5.3e-07 9.55e-01 1.665305323e+02 1.665305497e+02 5.0e-12 7.89
121 7.8e-09 8.4e-04 4.8e-07 8.44e-01 1.665305334e+02 1.665305492e+02 4.5e-12 7.92
122 7.1e-09 7.6e-04 4.3e-07 1.01e+00 1.665305345e+02 1.665305487e+02 4.1e-12 7.94
123 6.6e-09 6.8e-04 3.9e-07 1.10e+00 1.665305358e+02 1.665305479e+02 3.9e-12 7.97
124 5.9e-09 6.1e-04 3.5e-07 1.10e+00 1.665305370e+02 1.665305472e+02 3.6e-12 8.00
125 5.2e-09 5.5e-04 3.2e-07 9.49e-01 1.665305376e+02 1.665305469e+02 3.3e-12 8.03
126 4.4e-09 3.3e-05 1.9e-08 8.71e-01 1.665305436e+02 1.665305442e+02 3.7e-13 8.05
Interior-point optimizer terminated. Time: 8.06.
Optimizer terminated. Time: 8.07
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054360e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6653054420e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 8.1 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 : 0.04
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 -1.286794245e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265193147e+05 3.562468478e+00 4.8e-01 0.13
2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.203206523e+05 1.018342480e+01 1.9e-01 0.17
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.156409025e+05 6.364075634e+01 1.2e-01 0.20
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.129715071e+05 2.317183120e+03 1.2e-01 0.24
5 7.5e+01 9.6e+01 4.1e+03 -7.52e-01 -7.449857894e+04 9.815535279e+03 3.3e-02 0.28
6 3.3e+01 4.2e+01 1.8e+03 -1.91e-01 -4.334743098e+04 1.041511908e+04 1.4e-02 0.31
7 1.9e+01 2.5e+01 1.1e+03 3.44e-01 -2.849533756e+04 6.964166951e+03 8.4e-03 0.35
8 1.1e+01 1.5e+01 6.3e+02 6.08e-01 -1.796447847e+04 4.391100523e+03 5.0e-03 0.39
9 4.5e+00 5.8e+00 2.5e+02 7.77e-01 -7.324432729e+03 2.111344160e+03 2.0e-03 0.43
10 2.1e+00 2.6e+00 1.1e+02 9.31e-01 -3.116035883e+03 1.308111437e+03 9.1e-04 0.46
11 1.3e+00 1.6e+00 7.2e+01 9.82e-01 -1.904942262e+03 8.676134799e+02 5.7e-04 0.50
12 8.0e-01 1.0e+00 4.5e+01 9.84e-01 -1.145121026e+03 6.061154321e+02 3.6e-04 0.53
13 5.8e-01 7.8e-01 3.3e+01 9.59e-01 -8.108695604e+02 4.776071198e+02 2.6e-04 0.57
14 4.0e-01 5.4e-01 2.2e+01 9.99e-01 -4.813881903e+02 3.973648691e+02 1.8e-04 0.60
15 1.7e-01 2.4e-01 9.8e+00 9.93e-01 -1.314123423e+02 2.544938331e+02 7.9e-05 0.64
16 8.7e-02 1.4e-01 5.0e+00 1.01e+00 1.014109228e+01 2.046706477e+02 4.0e-05 0.67
17 7.7e-02 1.2e-01 4.4e+00 1.02e+00 3.170061815e+01 2.038229213e+02 3.6e-05 0.69
18 3.2e-02 7.2e-02 1.9e+00 1.02e+00 1.106225651e+02 1.821177662e+02 1.5e-05 0.72
19 9.1e-03 1.4e-01 5.3e-01 1.02e+00 1.512956389e+02 1.716154358e+02 4.2e-06 0.75
20 3.0e-03 1.1e-01 1.8e-01 1.01e+00 1.615043881e+02 1.682147278e+02 1.4e-06 0.79
21 1.9e-03 8.3e-02 1.1e-01 1.01e+00 1.633691706e+02 1.675998261e+02 8.9e-07 0.82
22 5.4e-04 1.3e-01 3.4e-02 1.01e+00 1.655637911e+02 1.668420630e+02 2.7e-07 0.85
23 3.8e-04 1.1e-01 2.4e-02 9.97e-01 1.658412649e+02 1.667317249e+02 1.9e-07 0.89
24 2.2e-04 7.7e-02 1.4e-02 9.83e-01 1.661131040e+02 1.666262305e+02 1.1e-07 0.93
25 1.7e-04 6.2e-02 1.1e-02 1.00e+00 1.661872923e+02 1.666018800e+02 9.0e-08 0.96
26 1.6e-04 5.7e-02 9.8e-03 1.01e+00 1.662172714e+02 1.665902111e+02 8.1e-08 1.00
27 1.4e-04 5.2e-02 8.8e-03 1.01e+00 1.662435330e+02 1.665790673e+02 7.3e-08 1.04
28 1.3e-04 4.8e-02 8.0e-03 1.01e+00 1.662672721e+02 1.665691853e+02 6.6e-08 1.06
29 1.1e-04 4.4e-02 7.2e-03 1.01e+00 1.662885462e+02 1.665602124e+02 5.9e-08 1.10
30 1.0e-04 4.0e-02 6.4e-03 1.01e+00 1.663076399e+02 1.665520944e+02 5.3e-08 1.13
31 9.3e-05 3.7e-02 5.8e-03 1.01e+00 1.663247728e+02 1.665447452e+02 4.8e-08 1.16
32 8.3e-05 3.4e-02 5.2e-03 1.01e+00 1.663401476e+02 1.665380933e+02 4.3e-08 1.19
33 7.5e-05 3.1e-02 4.7e-03 1.00e+00 1.663539450e+02 1.665320724e+02 3.9e-08 1.22
34 6.8e-05 2.9e-02 4.2e-03 1.00e+00 1.663663278e+02 1.665266234e+02 3.5e-08 1.25
35 6.1e-05 2.7e-02 3.8e-03 1.00e+00 1.663774418e+02 1.665216925e+02 3.1e-08 1.27
36 5.5e-05 2.5e-02 3.4e-03 1.00e+00 1.663874181e+02 1.665172316e+02 2.8e-08 1.30
37 4.9e-05 2.3e-02 3.1e-03 1.00e+00 1.663963739e+02 1.665131964e+02 2.5e-08 1.34
38 4.4e-05 2.2e-02 2.8e-03 1.00e+00 1.664044147e+02 1.665095474e+02 2.3e-08 1.38
39 4.0e-05 2.0e-02 2.5e-03 1.00e+00 1.664116348e+02 1.665062482e+02 2.1e-08 1.42
40 3.6e-05 1.9e-02 2.2e-03 1.00e+00 1.664181185e+02 1.665032659e+02 1.9e-08 1.45
41 3.2e-05 1.8e-02 2.0e-03 1.00e+00 1.664239417e+02 1.665005708e+02 1.7e-08 1.49
42 2.9e-05 1.7e-02 1.8e-03 1.00e+00 1.664291722e+02 1.664981356e+02 1.5e-08 1.52
43 2.6e-05 1.6e-02 1.6e-03 1.00e+00 1.664338709e+02 1.664959358e+02 1.4e-08 1.55
44 2.4e-05 1.5e-02 1.5e-03 1.00e+00 1.664380922e+02 1.664939490e+02 1.2e-08 1.58
45 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664418850e+02 1.664921550e+02 1.1e-08 1.61
46 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.664452931e+02 1.664905353e+02 9.9e-09 1.64
47 1.7e-05 1.3e-02 1.1e-03 1.00e+00 1.664483559e+02 1.664890733e+02 8.9e-09 1.67
48 1.5e-05 1.3e-02 9.7e-04 1.00e+00 1.664511086e+02 1.664877538e+02 8.0e-09 1.70
49 1.4e-05 1.2e-02 8.7e-04 1.00e+00 1.664535828e+02 1.664865633e+02 7.2e-09 1.73
50 1.3e-05 1.2e-02 7.8e-04 1.00e+00 1.664558070e+02 1.664854892e+02 6.5e-09 1.77
51 1.1e-05 1.1e-02 7.1e-04 1.00e+00 1.664578065e+02 1.664845204e+02 5.8e-09 1.81
52 1.0e-05 1.1e-02 6.4e-04 1.00e+00 1.664596042e+02 1.664836467e+02 5.2e-09 1.84
53 9.1e-06 1.1e-02 5.7e-04 1.00e+00 1.664612206e+02 1.664828589e+02 4.7e-09 1.86
54 8.2e-06 1.0e-02 5.1e-04 1.00e+00 1.664626742e+02 1.664821487e+02 4.3e-09 1.89
55 7.4e-06 1.0e-02 4.6e-04 1.00e+00 1.664639814e+02 1.664815085e+02 3.8e-09 1.92
56 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.664651571e+02 1.664809316e+02 3.4e-09 1.95
57 6.0e-06 9.8e-03 3.8e-04 1.00e+00 1.664662145e+02 1.664804117e+02 3.1e-09 1.98
58 5.4e-06 9.6e-03 3.4e-04 1.00e+00 1.664671657e+02 1.664799432e+02 2.8e-09 2.02
59 4.9e-06 9.4e-03 3.0e-04 1.00e+00 1.664680212e+02 1.664795211e+02 2.5e-09 2.05
60 4.4e-06 9.3e-03 2.7e-04 1.00e+00 1.664687909e+02 1.664791409e+02 2.3e-09 2.09
61 3.9e-06 9.1e-03 2.5e-04 1.00e+00 1.664694832e+02 1.664787983e+02 2.0e-09 2.12
62 3.5e-06 9.0e-03 2.2e-04 1.00e+00 1.664701060e+02 1.664784897e+02 1.8e-09 2.16
63 3.2e-06 8.9e-03 2.0e-04 1.00e+00 1.664706663e+02 1.664782117e+02 1.6e-09 2.19
64 2.9e-06 8.8e-03 1.8e-04 1.00e+00 1.664711703e+02 1.664779612e+02 1.5e-09 2.22
65 2.6e-06 8.7e-03 1.6e-04 1.00e+00 1.664716238e+02 1.664777357e+02 1.3e-09 2.26
66 2.3e-06 8.6e-03 1.5e-04 1.00e+00 1.664720318e+02 1.664775326e+02 1.2e-09 2.30
67 2.1e-06 8.5e-03 1.3e-04 1.00e+00 1.664723989e+02 1.664773497e+02 1.1e-09 2.33
68 1.9e-06 8.4e-03 1.2e-04 1.00e+00 1.664727293e+02 1.664771851e+02 9.7e-10 2.37
69 1.7e-06 8.4e-03 1.1e-04 1.00e+00 1.664730267e+02 1.664770369e+02 8.8e-10 2.41
70 1.5e-06 8.3e-03 9.5e-05 1.00e+00 1.664732942e+02 1.664769035e+02 7.9e-10 2.44
71 1.4e-06 8.2e-03 8.6e-05 1.00e+00 1.664735350e+02 1.664767834e+02 7.1e-10 2.47
72 1.2e-06 8.2e-03 7.7e-05 1.00e+00 1.664737517e+02 1.664766753e+02 6.4e-10 2.51
73 1.1e-06 8.1e-03 7.0e-05 1.00e+00 1.664739467e+02 1.664765780e+02 5.7e-10 2.54
74 1.0e-06 8.1e-03 6.3e-05 1.00e+00 1.664741222e+02 1.664764904e+02 5.2e-10 2.56
75 9.0e-07 8.0e-03 5.6e-05 1.00e+00 1.664742801e+02 1.664764115e+02 4.7e-10 2.59
76 8.1e-07 8.0e-03 5.1e-05 1.00e+00 1.664744222e+02 1.664763405e+02 4.2e-10 2.62
77 7.3e-07 8.0e-03 4.6e-05 1.00e+00 1.664745500e+02 1.664762765e+02 3.8e-10 2.66
78 6.6e-07 7.9e-03 4.1e-05 1.00e+00 1.664746650e+02 1.664762189e+02 3.4e-10 2.69
79 5.9e-07 7.9e-03 3.7e-05 1.00e+00 1.664747685e+02 1.664761670e+02 3.1e-10 2.73
80 5.3e-07 7.9e-03 3.3e-05 1.00e+00 1.664748616e+02 1.664761202e+02 2.8e-10 2.76
81 4.8e-07 7.8e-03 3.0e-05 1.00e+00 1.664749454e+02 1.664760781e+02 2.5e-10 2.79
82 4.3e-07 7.8e-03 2.7e-05 1.00e+00 1.664750207e+02 1.664760402e+02 2.2e-10 2.82
83 3.9e-07 7.8e-03 2.4e-05 1.00e+00 1.664750885e+02 1.664760060e+02 2.0e-10 2.85
84 3.5e-07 7.8e-03 2.2e-05 1.00e+00 1.664751494e+02 1.664759752e+02 1.8e-10 2.88
85 3.1e-07 7.8e-03 2.0e-05 1.00e+00 1.664752043e+02 1.664759474e+02 1.6e-10 2.91
86 2.8e-07 7.7e-03 1.8e-05 1.00e+00 1.664752536e+02 1.664759225e+02 1.5e-10 2.95
87 2.5e-07 7.7e-03 1.6e-05 1.00e+00 1.664752980e+02 1.664758999e+02 1.3e-10 2.98
88 2.3e-07 7.7e-03 1.4e-05 9.98e-01 1.664753380e+02 1.664758797e+02 1.2e-10 3.01
89 2.1e-07 7.7e-03 1.3e-05 1.00e+00 1.664753739e+02 1.664758614e+02 1.1e-10 3.05
90 1.9e-07 7.7e-03 1.2e-05 1.00e+00 1.664754062e+02 1.664758450e+02 9.6e-11 3.08
91 1.7e-07 7.6e-03 1.0e-05 9.99e-01 1.664754353e+02 1.664758302e+02 8.6e-11 3.12
92 1.5e-07 7.6e-03 9.4e-06 1.00e+00 1.664754615e+02 1.664758169e+02 7.8e-11 3.15
93 1.3e-07 7.6e-03 8.5e-06 1.00e+00 1.664754850e+02 1.664758049e+02 7.0e-11 3.18
94 1.2e-07 7.6e-03 7.6e-06 1.00e+00 1.664755062e+02 1.664757941e+02 6.3e-11 3.21
95 1.1e-07 7.6e-03 6.9e-06 1.00e+00 1.664755253e+02 1.664757844e+02 5.7e-11 3.24
96 9.8e-08 7.6e-03 6.2e-06 1.00e+00 1.664755425e+02 1.664757757e+02 5.1e-11 3.27
97 8.9e-08 7.6e-03 5.6e-06 1.00e+00 1.664755579e+02 1.664757678e+02 4.6e-11 3.31
98 8.0e-08 7.6e-03 5.0e-06 9.98e-01 1.664755718e+02 1.664757607e+02 4.1e-11 3.34
99 7.2e-08 7.5e-03 4.5e-06 9.98e-01 1.664755843e+02 1.664757543e+02 3.7e-11 3.38
100 6.5e-08 7.5e-03 4.0e-06 1.00e+00 1.664755956e+02 1.664757486e+02 3.3e-11 3.41
101 5.8e-08 7.5e-03 3.6e-06 9.97e-01 1.664756057e+02 1.664757434e+02 3.0e-11 3.44
102 5.2e-08 6.8e-03 3.3e-06 1.00e+00 1.664756149e+02 1.664757387e+02 2.7e-11 3.47
103 4.7e-08 6.1e-03 3.0e-06 9.99e-01 1.664756231e+02 1.664757346e+02 2.4e-11 3.49
104 4.2e-08 5.5e-03 2.7e-06 1.00e+00 1.664756305e+02 1.664757308e+02 2.2e-11 3.52
105 3.8e-08 4.9e-03 2.4e-06 1.00e+00 1.664756371e+02 1.664757274e+02 2.0e-11 3.55
106 3.4e-08 4.4e-03 2.2e-06 1.01e+00 1.664756432e+02 1.664757243e+02 1.8e-11 3.59
107 3.1e-08 4.0e-03 1.9e-06 1.01e+00 1.664756487e+02 1.664757215e+02 1.6e-11 3.63
108 2.8e-08 3.6e-03 1.7e-06 1.00e+00 1.664756535e+02 1.664757190e+02 1.4e-11 3.66
109 2.5e-08 3.2e-03 1.6e-06 1.00e+00 1.664756579e+02 1.664757168e+02 1.3e-11 3.70
110 2.3e-08 2.9e-03 1.4e-06 1.00e+00 1.664756618e+02 1.664757148e+02 1.2e-11 3.73
111 2.0e-08 2.6e-03 1.3e-06 9.91e-01 1.664756653e+02 1.664757130e+02 1.1e-11 3.76
112 1.8e-08 2.4e-03 1.1e-06 9.87e-01 1.664756684e+02 1.664757114e+02 9.5e-12 3.79
113 1.6e-08 2.1e-03 1.0e-06 9.98e-01 1.664756713e+02 1.664757100e+02 8.5e-12 3.82
114 1.5e-08 1.9e-03 9.3e-07 1.01e+00 1.664756740e+02 1.664757086e+02 7.7e-12 3.85
115 1.3e-08 1.7e-03 8.3e-07 1.01e+00 1.664756763e+02 1.664757074e+02 7.0e-12 3.89
116 1.2e-08 1.5e-03 7.5e-07 9.77e-01 1.664756784e+02 1.664757064e+02 6.3e-12 3.92
117 1.1e-08 1.4e-03 6.8e-07 1.00e+00 1.664756802e+02 1.664757054e+02 5.7e-12 3.96
118 9.7e-09 1.3e-03 6.1e-07 1.06e+00 1.664756824e+02 1.664757043e+02 5.2e-12 3.99
119 2.3e-09 7.0e-05 3.4e-08 9.34e-01 1.664756963e+02 1.664756976e+02 4.4e-13 4.02
Interior-point optimizer terminated. Time: 4.02.
Optimizer terminated. Time: 4.04
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569632e+02 Viol. con: 6e-08 var: 0e+00
Dual. obj: 1.6647569759e+02 Viol. con: 0e+00 var: 5e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.06 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 : 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 -1.286082580e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264455444e+05 3.561147523e+00 4.8e-01 0.14
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.202189352e+05 1.021577463e+01 1.8e-01 0.17
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.155276029e+05 6.409887864e+01 1.2e-01 0.20
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.128745038e+05 2.305050134e+03 1.2e-01 0.24
5 7.5e+01 9.7e+01 4.2e+03 -7.52e-01 -7.464878351e+04 9.750335778e+03 3.3e-02 0.27
6 3.0e+01 3.9e+01 1.7e+03 -1.94e-01 -4.061326719e+04 1.038313360e+04 1.3e-02 0.31
7 1.8e+01 2.3e+01 1.0e+03 3.92e-01 -2.711375504e+04 6.759403880e+03 8.0e-03 0.34
8 9.7e+00 1.3e+01 5.4e+02 6.31e-01 -1.563221651e+04 3.921992426e+03 4.3e-03 0.37
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.377817754e+03 1.902956940e+03 1.7e-03 0.41
10 2.1e+00 2.7e+00 1.2e+02 9.42e-01 -3.277241001e+03 1.216027422e+03 9.3e-04 0.44
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.515218679e+03 7.311995559e+02 4.6e-04 0.47
12 8.1e-01 1.0e+00 4.6e+01 9.78e-01 -1.187426218e+03 6.070199385e+02 3.6e-04 0.51
13 4.8e-01 6.2e-01 2.7e+01 9.74e-01 -6.492709718e+02 4.265906146e+02 2.2e-04 0.54
14 2.7e-01 3.5e-01 1.5e+01 1.00e+00 -2.813486442e+02 3.142374707e+02 1.2e-04 0.58
15 9.6e-02 1.5e-01 5.5e+00 1.00e+00 -8.235697587e+00 2.072944562e+02 4.4e-05 0.62
16 8.7e-02 1.3e-01 5.0e+00 1.02e+00 1.500635181e+01 2.092559178e+02 4.0e-05 0.65
17 5.9e-02 9.3e-02 3.4e+00 1.02e+00 6.336869695e+01 1.948908059e+02 2.7e-05 0.69
18 2.9e-02 7.0e-02 1.7e+00 1.02e+00 1.166899977e+02 1.805929910e+02 1.3e-05 0.72
19 8.2e-03 1.9e-01 4.8e-01 1.02e+00 1.531095828e+02 1.714047959e+02 3.8e-06 0.75
20 3.1e-03 2.2e-01 1.8e-01 1.01e+00 1.611496724e+02 1.681146218e+02 1.5e-06 0.79
21 1.8e-03 1.4e-01 1.1e-01 1.01e+00 1.633185028e+02 1.674979329e+02 8.9e-07 0.82
22 5.5e-04 1.3e-01 3.4e-02 1.01e+00 1.655218263e+02 1.668072277e+02 2.8e-07 0.85
23 4.0e-04 1.1e-01 2.5e-02 9.96e-01 1.657699432e+02 1.667104082e+02 2.1e-07 0.89
24 2.2e-04 7.8e-02 1.4e-02 9.85e-01 1.660774727e+02 1.665929416e+02 1.1e-07 0.92
25 1.9e-04 6.7e-02 1.2e-02 1.00e+00 1.661340425e+02 1.665753687e+02 9.6e-08 0.95
26 1.7e-04 6.1e-02 1.0e-02 1.01e+00 1.661667916e+02 1.665637278e+02 8.7e-08 0.99
27 1.5e-04 5.5e-02 9.4e-03 1.01e+00 1.661948411e+02 1.665519658e+02 7.8e-08 1.02
28 1.4e-04 5.1e-02 8.5e-03 1.01e+00 1.662202290e+02 1.665415647e+02 7.0e-08 1.05
29 1.2e-04 4.6e-02 7.6e-03 1.01e+00 1.662429680e+02 1.665321088e+02 6.3e-08 1.09
30 1.1e-04 4.2e-02 6.9e-03 1.01e+00 1.662633769e+02 1.665235535e+02 5.7e-08 1.12
31 9.9e-05 3.9e-02 6.2e-03 1.01e+00 1.662816901e+02 1.665158083e+02 5.1e-08 1.16
32 8.9e-05 3.6e-02 5.6e-03 1.01e+00 1.662981246e+02 1.665087980e+02 4.6e-08 1.20
33 8.0e-05 3.3e-02 5.0e-03 1.00e+00 1.663128734e+02 1.665024529e+02 4.2e-08 1.23
34 7.2e-05 3.0e-02 4.5e-03 1.00e+00 1.663261102e+02 1.664967103e+02 3.7e-08 1.26
35 6.5e-05 2.8e-02 4.1e-03 1.00e+00 1.663379907e+02 1.664915134e+02 3.4e-08 1.29
36 5.9e-05 2.6e-02 3.7e-03 1.00e+00 1.663486546e+02 1.664868113e+02 3.0e-08 1.32
37 5.3e-05 2.4e-02 3.3e-03 1.00e+00 1.663582275e+02 1.664825575e+02 2.7e-08 1.35
38 4.8e-05 2.3e-02 3.0e-03 1.00e+00 1.663668219e+02 1.664787101e+02 2.5e-08 1.38
39 4.3e-05 2.1e-02 2.7e-03 1.00e+00 1.663745386e+02 1.664752311e+02 2.2e-08 1.41
40 3.8e-05 2.0e-02 2.4e-03 1.00e+00 1.663814681e+02 1.664720858e+02 2.0e-08 1.44
41 3.5e-05 1.9e-02 2.2e-03 1.00e+00 1.663876911e+02 1.664692427e+02 1.8e-08 1.48
42 3.1e-05 1.7e-02 1.9e-03 1.00e+00 1.663932804e+02 1.664666734e+02 1.6e-08 1.51
43 2.8e-05 1.6e-02 1.8e-03 1.00e+00 1.663983007e+02 1.664643518e+02 1.5e-08 1.54
44 2.5e-05 1.6e-02 1.6e-03 1.00e+00 1.664028105e+02 1.664622544e+02 1.3e-08 1.58
45 2.3e-05 1.5e-02 1.4e-03 1.00e+00 1.664068618e+02 1.664603599e+02 1.2e-08 1.61
46 2.0e-05 1.4e-02 1.3e-03 1.00e+00 1.664105016e+02 1.664586487e+02 1.1e-08 1.64
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664137719e+02 1.664571034e+02 9.5e-09 1.67
48 1.7e-05 1.3e-02 1.0e-03 1.00e+00 1.664167103e+02 1.664557080e+02 8.6e-09 1.71
49 1.5e-05 1.2e-02 9.3e-04 1.00e+00 1.664193508e+02 1.664544482e+02 7.7e-09 1.74
50 1.3e-05 1.2e-02 8.4e-04 1.00e+00 1.664217237e+02 1.664533110e+02 7.0e-09 1.77
51 1.2e-05 1.2e-02 7.5e-04 1.00e+00 1.664238562e+02 1.664522846e+02 6.3e-09 1.80
52 1.1e-05 1.1e-02 6.8e-04 1.00e+00 1.664257729e+02 1.664513583e+02 5.6e-09 1.83
53 9.8e-06 1.1e-02 6.1e-04 1.00e+00 1.664274957e+02 1.664505225e+02 5.1e-09 1.87
54 8.8e-06 1.1e-02 5.5e-04 1.00e+00 1.664290443e+02 1.664497684e+02 4.6e-09 1.91
55 7.9e-06 1.0e-02 4.9e-04 1.00e+00 1.664304364e+02 1.664490881e+02 4.1e-09 1.94
56 7.1e-06 1.0e-02 4.5e-04 1.00e+00 1.664316880e+02 1.664484745e+02 3.7e-09 1.97
57 6.4e-06 9.8e-03 4.0e-04 1.00e+00 1.664328132e+02 1.664479212e+02 3.3e-09 2.01
58 5.8e-06 9.7e-03 3.6e-04 1.00e+00 1.664338249e+02 1.664474221e+02 3.0e-09 2.04
59 5.2e-06 9.5e-03 3.2e-04 1.00e+00 1.664347346e+02 1.664469721e+02 2.7e-09 2.06
60 4.7e-06 9.3e-03 2.9e-04 1.00e+00 1.664355525e+02 1.664465664e+02 2.4e-09 2.09
61 4.2e-06 9.2e-03 2.6e-04 1.00e+00 1.664362880e+02 1.664462006e+02 2.2e-09 2.12
62 3.8e-06 9.1e-03 2.4e-04 1.00e+00 1.664369494e+02 1.664458708e+02 2.0e-09 2.15
63 3.4e-06 8.9e-03 2.1e-04 1.00e+00 1.664375441e+02 1.664455734e+02 1.8e-09 2.17
64 3.1e-06 8.8e-03 1.9e-04 1.00e+00 1.664380789e+02 1.664453053e+02 1.6e-09 2.20
65 2.8e-06 8.7e-03 1.7e-04 1.00e+00 1.664385599e+02 1.664450637e+02 1.4e-09 2.23
66 2.5e-06 8.6e-03 1.6e-04 1.00e+00 1.664389924e+02 1.664448460e+02 1.3e-09 2.26
67 2.2e-06 8.6e-03 1.4e-04 1.00e+00 1.664393815e+02 1.664446498e+02 1.2e-09 2.30
68 2.0e-06 8.5e-03 1.3e-04 1.00e+00 1.664397316e+02 1.664444730e+02 1.0e-09 2.33
69 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400464e+02 1.664443138e+02 9.4e-10 2.36
70 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403297e+02 1.664441704e+02 8.5e-10 2.38
71 1.5e-06 8.3e-03 9.2e-05 1.00e+00 1.664405846e+02 1.664440412e+02 7.6e-10 2.41
72 1.3e-06 8.2e-03 8.3e-05 1.00e+00 1.664408138e+02 1.664439248e+02 6.9e-10 2.44
73 1.2e-06 8.2e-03 7.4e-05 1.00e+00 1.664410201e+02 1.664438200e+02 6.2e-10 2.47
74 1.1e-06 8.1e-03 6.7e-05 1.00e+00 1.664412057e+02 1.664437256e+02 5.6e-10 2.51
75 9.6e-07 8.1e-03 6.0e-05 1.00e+00 1.664413726e+02 1.664436406e+02 5.0e-10 2.54
76 8.7e-07 8.0e-03 5.4e-05 1.00e+00 1.664415228e+02 1.664435640e+02 4.5e-10 2.58
77 7.8e-07 8.0e-03 4.9e-05 1.00e+00 1.664416580e+02 1.664434951e+02 4.1e-10 2.61
78 7.0e-07 8.0e-03 4.4e-05 1.00e+00 1.664417795e+02 1.664434329e+02 3.6e-10 2.65
79 6.3e-07 7.9e-03 4.0e-05 1.00e+00 1.664418889e+02 1.664433770e+02 3.3e-10 2.68
80 5.7e-07 7.9e-03 3.6e-05 1.00e+00 1.664419873e+02 1.664433265e+02 3.0e-10 2.72
81 5.1e-07 7.9e-03 3.2e-05 1.00e+00 1.664420758e+02 1.664432811e+02 2.7e-10 2.76
82 4.6e-07 7.8e-03 2.9e-05 1.00e+00 1.664421554e+02 1.664432402e+02 2.4e-10 2.79
83 4.1e-07 7.8e-03 2.6e-05 1.00e+00 1.664422270e+02 1.664432034e+02 2.2e-10 2.83
84 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422914e+02 1.664431702e+02 1.9e-10 2.86
85 3.4e-07 7.8e-03 2.1e-05 9.99e-01 1.664423494e+02 1.664431403e+02 1.7e-10 2.90
86 3.0e-07 7.7e-03 1.9e-05 1.00e+00 1.664424016e+02 1.664431133e+02 1.6e-10 2.93
87 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424485e+02 1.664430891e+02 1.4e-10 2.96
88 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424907e+02 1.664430673e+02 1.3e-10 3.00
89 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.664425288e+02 1.664430476e+02 1.1e-10 3.03
90 2.0e-07 7.7e-03 1.2e-05 1.00e+00 1.664425630e+02 1.664430299e+02 1.0e-10 3.06
91 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425938e+02 1.664430140e+02 9.3e-11 3.10
92 1.6e-07 7.6e-03 1.0e-05 9.99e-01 1.664426215e+02 1.664429997e+02 8.3e-11 3.13
93 1.4e-07 7.6e-03 9.0e-06 9.98e-01 1.664426464e+02 1.664429869e+02 7.5e-11 3.17
94 1.3e-07 7.6e-03 8.1e-06 1.00e+00 1.664426689e+02 1.664429752e+02 6.8e-11 3.20
95 1.2e-07 7.6e-03 7.3e-06 1.00e+00 1.664426891e+02 1.664429648e+02 6.1e-11 3.23
96 1.1e-07 7.6e-03 6.6e-06 1.00e+00 1.664427072e+02 1.664429554e+02 5.5e-11 3.27
97 9.5e-08 7.6e-03 5.9e-06 1.00e+00 1.664427236e+02 1.664429469e+02 4.9e-11 3.32
98 8.5e-08 6.8e-03 5.3e-06 1.01e+00 1.664427385e+02 1.664429392e+02 4.4e-11 3.35
99 7.7e-08 6.1e-03 4.8e-06 1.00e+00 1.664427517e+02 1.664429324e+02 4.0e-11 3.39
100 6.9e-08 5.5e-03 4.3e-06 9.99e-01 1.664427636e+02 1.664429263e+02 3.6e-11 3.42
101 6.2e-08 5.0e-03 3.9e-06 1.00e+00 1.664427744e+02 1.664429207e+02 3.2e-11 3.45
102 5.6e-08 4.5e-03 3.5e-06 1.00e+00 1.664427840e+02 1.664429157e+02 2.9e-11 3.48
103 5.0e-08 4.0e-03 3.2e-06 1.01e+00 1.664427928e+02 1.664429112e+02 2.6e-11 3.52
104 4.5e-08 3.6e-03 2.8e-06 9.98e-01 1.664428006e+02 1.664429072e+02 2.4e-11 3.55
105 4.1e-08 3.3e-03 2.6e-06 9.92e-01 1.664428076e+02 1.664429036e+02 2.1e-11 3.58
106 3.7e-08 2.9e-03 2.3e-06 1.01e+00 1.664428142e+02 1.664429001e+02 1.9e-11 3.62
107 3.3e-08 2.6e-03 2.1e-06 1.00e+00 1.664428199e+02 1.664428972e+02 1.7e-11 3.65
108 3.0e-08 2.4e-03 1.9e-06 1.01e+00 1.664428251e+02 1.664428945e+02 1.6e-11 3.68
109 2.7e-08 2.1e-03 1.7e-06 9.93e-01 1.664428296e+02 1.664428922e+02 1.4e-11 3.72
110 2.4e-08 1.9e-03 1.5e-06 9.77e-01 1.664428338e+02 1.664428901e+02 1.3e-11 3.75
111 2.2e-08 1.7e-03 1.4e-06 1.02e+00 1.664428378e+02 1.664428880e+02 1.1e-11 3.78
112 2.0e-08 1.6e-03 1.2e-06 9.82e-01 1.664428411e+02 1.664428863e+02 1.0e-11 3.82
113 1.8e-08 1.4e-03 1.1e-06 1.04e+00 1.664428447e+02 1.664428843e+02 9.5e-12 3.85
114 1.6e-08 1.3e-03 9.9e-07 1.03e+00 1.664428476e+02 1.664428828e+02 8.6e-12 3.89
115 1.4e-08 1.1e-03 8.9e-07 9.76e-01 1.664428499e+02 1.664428817e+02 7.8e-12 3.92
116 1.3e-08 1.0e-03 8.0e-07 9.76e-01 1.664428520e+02 1.664428806e+02 7.0e-12 3.96
117 1.2e-08 9.2e-04 7.2e-07 9.74e-01 1.664428539e+02 1.664428797e+02 6.3e-12 3.99
118 1.1e-08 8.3e-04 6.5e-07 1.03e+00 1.664428558e+02 1.664428786e+02 5.7e-12 4.02
119 9.6e-09 7.5e-04 5.8e-07 8.90e-01 1.664428573e+02 1.664428779e+02 5.2e-12 4.04
120 8.6e-09 6.7e-04 5.3e-07 9.23e-01 1.664428587e+02 1.664428773e+02 4.7e-12 4.08
121 8.4e-09 6.0e-04 4.7e-07 1.12e+00 1.664428606e+02 1.664428761e+02 4.4e-12 4.11
122 7.5e-09 5.4e-04 4.3e-07 9.97e-01 1.664428616e+02 1.664428756e+02 4.0e-12 4.14
123 6.8e-09 4.9e-04 3.8e-07 9.20e-01 1.664428625e+02 1.664428752e+02 3.6e-12 4.18
124 6.8e-09 4.4e-04 3.4e-07 1.71e+00 1.664428633e+02 1.664428750e+02 3.2e-12 4.21
125 5.9e-09 4.0e-04 3.1e-07 1.34e+00 1.664428641e+02 1.664428745e+02 2.9e-12 4.25
126 6.0e-09 3.6e-04 2.8e-07 5.22e-01 1.664428647e+02 1.664428744e+02 2.6e-12 4.29
127 5.7e-09 3.2e-04 2.5e-07 5.77e-01 1.664428653e+02 1.664428742e+02 2.4e-12 4.32
128 5.3e-09 2.9e-04 2.3e-07 5.74e-01 1.664428658e+02 1.664428741e+02 2.1e-12 4.35
129 6.8e-09 2.6e-04 2.0e-07 1.15e+00 1.664428667e+02 1.664428735e+02 2.1e-12 4.39
130 9.2e-09 2.3e-04 1.8e-07 1.97e+00 1.664428669e+02 1.664428741e+02 1.8e-12 4.42
131 7.9e-09 2.1e-04 1.7e-07 9.78e-01 1.664428673e+02 1.664428738e+02 1.7e-12 4.46
132 7.3e-09 1.9e-04 1.5e-07 7.97e-01 1.664428677e+02 1.664428735e+02 1.5e-12 4.49
133 7.7e-09 1.7e-04 1.3e-07 1.04e+00 1.664428680e+02 1.664428732e+02 1.4e-12 4.52
134 7.0e-09 1.5e-04 1.2e-07 7.18e-01 1.664428683e+02 1.664428729e+02 1.2e-12 4.56
135 6.6e-09 1.4e-04 1.1e-07 8.51e-01 1.664428686e+02 1.664428728e+02 1.1e-12 4.59
136 5.6e-09 1.2e-04 9.7e-08 1.03e+00 1.664428688e+02 1.664428726e+02 1.0e-12 4.62
137 4.9e-09 1.1e-04 8.8e-08 1.48e+00 1.664428691e+02 1.664428725e+02 9.1e-13 4.66
Interior-point optimizer terminated. Time: 4.67.
Optimizer terminated. Time: 4.70
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286905e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6644287252e+02 Viol. con: 0e+00 var: 8e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.72 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 : 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 -1.286065450e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264430691e+05 3.560331710e+00 4.8e-01 0.22
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201901506e+05 1.023709407e+01 1.8e-01 0.26
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154934762e+05 6.447260805e+01 1.2e-01 0.29
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.128470965e+05 2.299728490e+03 1.2e-01 0.33
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.454790202e+04 9.751165249e+03 3.3e-02 0.36
6 3.0e+01 3.9e+01 1.7e+03 -1.92e-01 -4.044510555e+04 1.032158555e+04 1.3e-02 0.40
7 1.8e+01 2.3e+01 1.0e+03 3.95e-01 -2.709823686e+04 6.726753594e+03 7.9e-03 0.44
8 9.6e+00 1.2e+01 5.3e+02 6.31e-01 -1.536832876e+04 3.868718697e+03 4.2e-03 0.47
9 3.6e+00 4.6e+00 2.0e+02 8.17e-01 -5.859964390e+03 1.801375805e+03 1.6e-03 0.51
10 2.0e+00 2.6e+00 1.1e+02 9.48e-01 -3.087457802e+03 1.198961510e+03 8.8e-04 0.54
11 8.5e-01 1.1e+00 4.8e+01 9.81e-01 -1.234100559e+03 6.213278469e+02 3.8e-04 0.58
12 8.2e-01 1.1e+00 4.6e+01 9.53e-01 -1.214658543e+03 5.968278705e+02 3.7e-04 0.61
13 5.1e-01 6.6e-01 2.9e+01 9.71e-01 -7.061160382e+02 4.306346611e+02 2.3e-04 0.65
14 3.1e-01 4.1e-01 1.7e+01 1.00e+00 -3.440399980e+02 3.401537719e+02 1.4e-04 0.68
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.609127427e+01 2.147716424e+02 4.9e-05 0.72
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.173604040e+01 2.053811057e+02 3.8e-05 0.75
17 4.1e-02 8.6e-02 2.4e+00 1.02e+00 9.595933347e+01 1.869208717e+02 1.9e-05 0.78
18 1.4e-02 8.5e-02 8.1e-01 1.02e+00 1.429810438e+02 1.741343898e+02 6.5e-06 0.82
19 5.9e-03 7.3e-02 3.4e-01 1.01e+00 1.562830204e+02 1.694761372e+02 2.8e-06 0.85
20 1.5e-03 1.5e-01 9.1e-02 1.01e+00 1.639168979e+02 1.673756095e+02 7.3e-07 0.88
21 7.3e-04 1.0e-01 4.5e-02 9.83e-01 1.651836679e+02 1.668993142e+02 3.7e-07 0.91
22 2.3e-04 1.1e-01 1.5e-02 9.96e-01 1.660253611e+02 1.665879358e+02 1.2e-07 0.95
23 1.1e-04 8.7e-02 7.1e-03 1.01e+00 1.662345750e+02 1.665014945e+02 5.9e-08 0.97
24 5.4e-05 7.5e-02 3.5e-03 1.01e+00 1.663291589e+02 1.664619525e+02 3.0e-08 1.00
25 4.9e-05 6.8e-02 3.2e-03 1.01e+00 1.663399694e+02 1.664595606e+02 2.7e-08 1.03
26 4.4e-05 6.2e-02 2.9e-03 1.01e+00 1.663482091e+02 1.664558018e+02 2.4e-08 1.06
27 3.9e-05 5.7e-02 2.6e-03 1.01e+00 1.663557241e+02 1.664525354e+02 2.2e-08 1.08
28 3.5e-05 5.2e-02 2.3e-03 1.01e+00 1.663624460e+02 1.664495563e+02 1.9e-08 1.11
29 3.2e-05 4.7e-02 2.1e-03 1.01e+00 1.663684851e+02 1.664468684e+02 1.7e-08 1.14
30 2.9e-05 4.3e-02 1.9e-03 1.01e+00 1.663739082e+02 1.664444402e+02 1.6e-08 1.17
31 2.6e-05 4.0e-02 1.7e-03 1.00e+00 1.663787792e+02 1.664422474e+02 1.4e-08 1.21
32 2.3e-05 3.7e-02 1.5e-03 1.00e+00 1.663831548e+02 1.664402675e+02 1.3e-08 1.24
33 2.1e-05 3.4e-02 1.4e-03 1.00e+00 1.663870855e+02 1.664384799e+02 1.1e-08 1.27
34 1.9e-05 3.1e-02 1.2e-03 1.00e+00 1.663906169e+02 1.664368663e+02 1.0e-08 1.31
35 1.7e-05 2.9e-02 1.1e-03 1.00e+00 1.663937898e+02 1.664354096e+02 9.3e-09 1.34
36 1.5e-05 2.7e-02 1.0e-03 1.00e+00 1.663966408e+02 1.664340950e+02 8.4e-09 1.37
37 1.4e-05 2.5e-02 9.0e-04 1.00e+00 1.663992028e+02 1.664329085e+02 7.5e-09 1.41
38 1.2e-05 2.3e-02 8.1e-04 1.00e+00 1.664015052e+02 1.664318379e+02 6.8e-09 1.44
39 1.1e-05 2.2e-02 7.3e-04 1.00e+00 1.664035744e+02 1.664308720e+02 6.1e-09 1.47
40 1.0e-05 2.0e-02 6.5e-04 1.00e+00 1.664054343e+02 1.664300006e+02 5.5e-09 1.51
41 9.0e-06 1.9e-02 5.9e-04 1.00e+00 1.664071062e+02 1.664292145e+02 4.9e-09 1.54
42 8.1e-06 1.8e-02 5.3e-04 1.00e+00 1.664086090e+02 1.664285055e+02 4.4e-09 1.57
43 7.3e-06 1.7e-02 4.8e-04 1.00e+00 1.664099601e+02 1.664278662e+02 4.0e-09 1.62
44 6.6e-06 1.6e-02 4.3e-04 1.00e+00 1.664111748e+02 1.664272896e+02 3.6e-09 1.66
45 5.9e-06 1.5e-02 3.9e-04 1.00e+00 1.664122670e+02 1.664267698e+02 3.2e-09 1.70
46 5.3e-06 1.5e-02 3.5e-04 1.00e+00 1.664132490e+02 1.664263012e+02 2.9e-09 1.73
47 4.8e-06 1.4e-02 3.1e-04 1.00e+00 1.664141321e+02 1.664258788e+02 2.6e-09 1.76
48 4.3e-06 1.3e-02 2.8e-04 1.00e+00 1.664149261e+02 1.664254979e+02 2.4e-09 1.80
49 3.9e-06 1.3e-02 2.5e-04 1.00e+00 1.664156402e+02 1.664251547e+02 2.1e-09 1.84
50 3.5e-06 1.2e-02 2.3e-04 1.00e+00 1.664162823e+02 1.664248452e+02 1.9e-09 1.87
51 3.1e-06 1.2e-02 2.1e-04 1.00e+00 1.664168598e+02 1.664245663e+02 1.7e-09 1.91
52 2.8e-06 1.1e-02 1.8e-04 1.00e+00 1.664173791e+02 1.664243149e+02 1.5e-09 1.94
53 2.5e-06 1.1e-02 1.7e-04 1.00e+00 1.664178462e+02 1.664240883e+02 1.4e-09 1.97
54 2.3e-06 1.1e-02 1.5e-04 1.00e+00 1.664182664e+02 1.664238842e+02 1.3e-09 2.00
55 2.1e-06 1.1e-02 1.3e-04 1.00e+00 1.664186444e+02 1.664237004e+02 1.1e-09 2.04
56 1.9e-06 1.0e-02 1.2e-04 1.00e+00 1.664189844e+02 1.664235348e+02 1.0e-09 2.07
57 1.7e-06 1.0e-02 1.1e-04 1.00e+00 1.664192903e+02 1.664233856e+02 9.2e-10 2.11
58 1.5e-06 9.8e-03 9.8e-05 1.00e+00 1.664195655e+02 1.664232513e+02 8.2e-10 2.14
59 1.4e-06 9.6e-03 8.8e-05 1.00e+00 1.664198131e+02 1.664231304e+02 7.4e-10 2.16
60 1.2e-06 9.4e-03 7.9e-05 1.00e+00 1.664200359e+02 1.664230214e+02 6.7e-10 2.19
61 1.1e-06 9.3e-03 7.1e-05 1.00e+00 1.664202363e+02 1.664229233e+02 6.0e-10 2.22
62 9.9e-07 9.1e-03 6.4e-05 1.00e+00 1.664204166e+02 1.664228349e+02 5.4e-10 2.25
63 8.9e-07 9.0e-03 5.8e-05 1.00e+00 1.664205788e+02 1.664227553e+02 4.9e-10 2.28
64 8.0e-07 8.9e-03 5.2e-05 1.00e+00 1.664207248e+02 1.664226836e+02 4.4e-10 2.31
65 7.2e-07 8.8e-03 4.7e-05 1.00e+00 1.664208561e+02 1.664226191e+02 3.9e-10 2.35
66 6.5e-07 8.7e-03 4.2e-05 1.00e+00 1.664209742e+02 1.664225609e+02 3.5e-10 2.38
67 5.8e-07 8.6e-03 3.8e-05 9.99e-01 1.664210805e+02 1.664225086e+02 3.2e-10 2.42
68 5.2e-07 8.5e-03 3.4e-05 1.00e+00 1.664211761e+02 1.664224614e+02 2.9e-10 2.45
69 4.7e-07 8.4e-03 3.1e-05 1.00e+00 1.664212621e+02 1.664224188e+02 2.6e-10 2.48
70 4.2e-07 8.3e-03 2.8e-05 1.00e+00 1.664213394e+02 1.664223805e+02 2.3e-10 2.51
71 3.8e-07 8.3e-03 2.5e-05 1.00e+00 1.664214090e+02 1.664223460e+02 2.1e-10 2.55
72 3.4e-07 8.2e-03 2.2e-05 9.99e-01 1.664214716e+02 1.664223149e+02 1.9e-10 2.58
73 3.1e-07 8.2e-03 2.0e-05 1.00e+00 1.664215279e+02 1.664222869e+02 1.7e-10 2.62
74 2.8e-07 8.1e-03 1.8e-05 9.98e-01 1.664215786e+02 1.664222618e+02 1.5e-10 2.65
75 2.5e-07 8.0e-03 1.6e-05 9.99e-01 1.664216242e+02 1.664222391e+02 1.4e-10 2.69
76 2.3e-07 8.0e-03 1.5e-05 9.98e-01 1.664216652e+02 1.664222186e+02 1.2e-10 2.73
77 2.0e-07 8.0e-03 1.3e-05 9.99e-01 1.664217021e+02 1.664222002e+02 1.1e-10 2.76
78 1.8e-07 7.9e-03 1.2e-05 9.97e-01 1.664217353e+02 1.664221837e+02 1.0e-10 2.79
79 1.6e-07 7.9e-03 1.1e-05 1.00e+00 1.664217652e+02 1.664221687e+02 9.0e-11 2.82
80 1.5e-07 7.9e-03 9.7e-06 1.00e+00 1.664217921e+02 1.664221553e+02 8.1e-11 2.85
81 1.3e-07 7.8e-03 8.7e-06 1.00e+00 1.664218163e+02 1.664221431e+02 7.3e-11 2.88
82 1.2e-07 7.8e-03 7.8e-06 1.00e+00 1.664218381e+02 1.664221323e+02 6.6e-11 2.90
83 1.1e-07 7.8e-03 7.0e-06 9.99e-01 1.664218577e+02 1.664221225e+02 5.9e-11 2.94
84 9.7e-08 7.7e-03 6.3e-06 9.98e-01 1.664218753e+02 1.664221137e+02 5.3e-11 2.97
85 8.7e-08 7.7e-03 5.7e-06 1.00e+00 1.664218913e+02 1.664221056e+02 4.8e-11 3.00
86 7.9e-08 7.0e-03 5.1e-06 1.01e+00 1.664219059e+02 1.664220983e+02 4.3e-11 3.04
87 7.1e-08 6.3e-03 4.6e-06 9.99e-01 1.664219187e+02 1.664220919e+02 3.9e-11 3.07
88 6.4e-08 5.6e-03 4.2e-06 9.94e-01 1.664219302e+02 1.664220861e+02 3.5e-11 3.09
89 5.7e-08 5.1e-03 3.7e-06 1.01e+00 1.664219410e+02 1.664220807e+02 3.2e-11 3.12
90 5.2e-08 4.6e-03 3.4e-06 1.01e+00 1.664219505e+02 1.664220759e+02 2.9e-11 3.15
91 4.6e-08 4.1e-03 3.0e-06 9.95e-01 1.664219588e+02 1.664220718e+02 2.6e-11 3.19
92 4.2e-08 3.7e-03 2.7e-06 1.00e+00 1.664219664e+02 1.664220680e+02 2.3e-11 3.22
93 3.8e-08 3.3e-03 2.5e-06 9.92e-01 1.664219731e+02 1.664220646e+02 2.1e-11 3.25
94 3.4e-08 3.0e-03 2.2e-06 9.73e-01 1.664219792e+02 1.664220617e+02 1.9e-11 3.28
95 3.0e-08 2.7e-03 2.0e-06 9.94e-01 1.664219847e+02 1.664220589e+02 1.7e-11 3.31
96 2.7e-08 2.4e-03 1.8e-06 9.95e-01 1.664219896e+02 1.664220565e+02 1.5e-11 3.35
97 2.5e-08 2.2e-03 1.6e-06 9.95e-01 1.664219941e+02 1.664220542e+02 1.4e-11 3.38
98 2.2e-08 2.0e-03 1.5e-06 9.85e-01 1.664219981e+02 1.664220523e+02 1.2e-11 3.42
99 2.0e-08 1.8e-03 1.3e-06 9.69e-01 1.664220016e+02 1.664220505e+02 1.1e-11 3.45
100 1.8e-08 1.6e-03 1.2e-06 9.94e-01 1.664220049e+02 1.664220489e+02 1.0e-11 3.48
101 1.6e-08 1.4e-03 1.1e-06 9.85e-01 1.664220078e+02 1.664220474e+02 9.0e-12 3.52
102 1.5e-08 1.3e-03 9.5e-07 9.78e-01 1.664220104e+02 1.664220461e+02 8.1e-12 3.55
103 1.3e-08 1.2e-03 8.6e-07 1.00e+00 1.664220128e+02 1.664220449e+02 7.3e-12 3.58
104 1.2e-08 1.0e-03 7.7e-07 9.76e-01 1.664220149e+02 1.664220438e+02 6.5e-12 3.62
105 1.1e-08 9.4e-04 6.9e-07 9.85e-01 1.664220168e+02 1.664220429e+02 5.9e-12 3.65
106 9.6e-09 8.5e-04 6.2e-07 1.03e+00 1.664220188e+02 1.664220418e+02 5.4e-12 3.68
107 8.6e-09 7.6e-04 5.6e-07 1.04e+00 1.664220206e+02 1.664220409e+02 4.9e-12 3.71
108 7.8e-09 6.9e-04 5.1e-07 1.07e+00 1.664220224e+02 1.664220399e+02 4.6e-12 3.75
109 7.1e-09 6.2e-04 4.6e-07 9.50e-01 1.664220235e+02 1.664220394e+02 4.1e-12 3.78
110 6.4e-09 5.6e-04 4.1e-07 1.11e+00 1.664220252e+02 1.664220385e+02 3.9e-12 3.81
111 5.7e-09 5.0e-04 3.7e-07 1.02e+00 1.664220261e+02 1.664220380e+02 3.6e-12 3.84
112 5.2e-09 4.5e-04 3.3e-07 9.12e-01 1.664220269e+02 1.664220376e+02 3.2e-12 3.87
113 4.9e-09 4.1e-04 3.0e-07 1.21e+00 1.664220283e+02 1.664220368e+02 3.2e-12 3.91
114 4.4e-09 3.6e-04 2.7e-07 9.37e-01 1.664220289e+02 1.664220365e+02 2.9e-12 3.94
115 4.1e-09 3.3e-04 2.4e-07 1.09e+00 1.664220297e+02 1.664220362e+02 2.7e-12 3.97
116 3.6e-09 1.9e-05 1.4e-08 9.05e-01 1.664220339e+02 1.664220343e+02 2.7e-13 4.00
Interior-point optimizer terminated. Time: 4.01.
Optimizer terminated. Time: 4.03
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203392e+02 Viol. con: 9e-08 var: 0e+00
Dual. obj: 1.6642203432e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.06 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 : 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 : 0.04
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 -1.286056961e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264419965e+05 3.560121235e+00 4.8e-01 0.13
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.201704483e+05 1.025024331e+01 1.8e-01 0.17
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154695684e+05 6.471588022e+01 1.2e-01 0.20
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.128250823e+05 2.298174688e+03 1.2e-01 0.23
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.433525369e+04 9.779642748e+03 3.3e-02 0.27
6 3.0e+01 3.9e+01 1.7e+03 -1.89e-01 -4.033414492e+04 1.028459129e+04 1.3e-02 0.30
7 1.8e+01 2.3e+01 1.0e+03 3.97e-01 -2.709320390e+04 6.722343707e+03 7.9e-03 0.34
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.525035708e+04 3.846200189e+03 4.2e-03 0.37
9 3.2e+00 4.2e+00 1.8e+02 8.18e-01 -5.232962704e+03 1.674987403e+03 1.4e-03 0.40
10 1.6e+00 2.0e+00 8.9e+01 9.56e-01 -2.390244053e+03 1.063635649e+03 7.1e-04 0.44
11 1.0e+00 1.3e+00 5.7e+01 9.86e-01 -1.466257884e+03 7.475043925e+02 4.5e-04 0.47
12 8.8e-01 1.1e+00 4.9e+01 9.70e-01 -1.288875120e+03 6.622277997e+02 3.9e-04 0.51
13 4.9e-01 6.3e-01 2.7e+01 9.78e-01 -6.563248502e+02 4.323234713e+02 2.2e-04 0.54
14 2.7e-01 3.6e-01 1.5e+01 1.00e+00 -2.904861650e+02 3.188342880e+02 1.2e-04 0.58
15 9.8e-02 1.5e-01 5.6e+00 9.99e-01 -1.147427323e+01 2.095879703e+02 4.5e-05 0.61
16 8.0e-02 1.2e-01 4.6e+00 1.02e+00 2.726996821e+01 2.073886871e+02 3.7e-05 0.65
17 6.4e-02 9.6e-02 3.6e+00 1.02e+00 5.585481028e+01 1.980629088e+02 2.9e-05 0.68
18 1.9e-02 8.9e-02 1.1e+00 1.02e+00 1.333641101e+02 1.765179682e+02 9.0e-06 0.72
19 6.2e-03 1.9e-01 3.6e-01 1.02e+00 1.561708293e+02 1.700461394e+02 2.9e-06 0.75
20 3.4e-03 2.2e-01 2.0e-01 1.01e+00 1.606060688e+02 1.683291792e+02 1.6e-06 0.79
21 1.0e-03 1.4e-01 6.1e-02 1.01e+00 1.647157198e+02 1.670479582e+02 5.0e-07 0.84
22 7.2e-04 1.1e-01 4.4e-02 9.90e-01 1.651969989e+02 1.668797062e+02 3.6e-07 0.88
23 2.1e-04 1.1e-01 1.3e-02 9.87e-01 1.660532807e+02 1.665562434e+02 1.1e-07 0.91
24 9.9e-05 9.0e-02 6.4e-03 1.01e+00 1.662388648e+02 1.664809860e+02 5.3e-08 0.95
25 4.0e-05 8.7e-02 2.6e-03 1.01e+00 1.663396805e+02 1.664378252e+02 2.2e-08 0.98
26 3.6e-05 8.0e-02 2.3e-03 1.01e+00 1.663476224e+02 1.664359877e+02 2.0e-08 1.02
27 3.2e-05 7.3e-02 2.1e-03 1.01e+00 1.663536574e+02 1.664331582e+02 1.8e-08 1.05
28 2.9e-05 6.6e-02 1.9e-03 1.01e+00 1.663591815e+02 1.664307143e+02 1.6e-08 1.09
29 2.6e-05 6.0e-02 1.7e-03 1.01e+00 1.663641282e+02 1.664284923e+02 1.4e-08 1.12
30 2.4e-05 5.5e-02 1.5e-03 1.01e+00 1.663685735e+02 1.664264887e+02 1.3e-08 1.15
31 2.1e-05 5.0e-02 1.4e-03 1.01e+00 1.663725665e+02 1.664246798e+02 1.2e-08 1.19
32 1.9e-05 4.6e-02 1.2e-03 1.00e+00 1.663761538e+02 1.664230473e+02 1.0e-08 1.22
33 1.7e-05 4.2e-02 1.1e-03 1.00e+00 1.663793768e+02 1.664215740e+02 9.4e-09 1.26
34 1.5e-05 3.9e-02 1.0e-03 1.00e+00 1.663822729e+02 1.664202447e+02 8.5e-09 1.30
35 1.4e-05 3.6e-02 9.1e-04 1.00e+00 1.663848754e+02 1.664190453e+02 7.6e-09 1.34
36 1.3e-05 3.3e-02 8.2e-04 1.00e+00 1.663872142e+02 1.664179633e+02 6.9e-09 1.37
37 1.1e-05 3.0e-02 7.3e-04 1.00e+00 1.663893162e+02 1.664169874e+02 6.2e-09 1.41
38 1.0e-05 2.8e-02 6.6e-04 1.00e+00 1.663912056e+02 1.664161071e+02 5.6e-09 1.44
39 9.1e-06 2.6e-02 5.9e-04 1.00e+00 1.663929040e+02 1.664153134e+02 5.0e-09 1.47
40 8.2e-06 2.4e-02 5.4e-04 1.00e+00 1.663944308e+02 1.664145976e+02 4.5e-09 1.51
41 7.4e-06 2.3e-02 4.8e-04 1.00e+00 1.663958034e+02 1.664139522e+02 4.0e-09 1.54
42 6.7e-06 2.1e-02 4.3e-04 1.00e+00 1.663970376e+02 1.664133705e+02 3.6e-09 1.58
43 6.0e-06 2.0e-02 3.9e-04 1.00e+00 1.663981473e+02 1.664128460e+02 3.3e-09 1.61
44 5.4e-06 1.9e-02 3.5e-04 1.00e+00 1.663991452e+02 1.664123733e+02 3.0e-09 1.65
45 4.9e-06 1.8e-02 3.2e-04 1.00e+00 1.664000425e+02 1.664119473e+02 2.7e-09 1.68
46 4.4e-06 1.7e-02 2.8e-04 1.00e+00 1.664008494e+02 1.664115633e+02 2.4e-09 1.72
47 3.9e-06 1.6e-02 2.6e-04 1.00e+00 1.664015751e+02 1.664112172e+02 2.2e-09 1.76
48 3.5e-06 1.5e-02 2.3e-04 1.00e+00 1.664022276e+02 1.664109053e+02 1.9e-09 1.79
49 3.2e-06 1.4e-02 2.1e-04 1.00e+00 1.664028145e+02 1.664106242e+02 1.7e-09 1.83
50 2.9e-06 1.4e-02 1.9e-04 1.00e+00 1.664033423e+02 1.664103708e+02 1.6e-09 1.87
51 2.6e-06 1.3e-02 1.7e-04 1.00e+00 1.664038170e+02 1.664101425e+02 1.4e-09 1.90
52 2.3e-06 1.3e-02 1.5e-04 1.00e+00 1.664042440e+02 1.664099369e+02 1.3e-09 1.94
53 2.1e-06 1.2e-02 1.4e-04 1.00e+00 1.664046281e+02 1.664097517e+02 1.1e-09 1.97
54 1.9e-06 1.2e-02 1.2e-04 1.00e+00 1.664049737e+02 1.664095848e+02 1.0e-09 2.01
55 1.7e-06 1.1e-02 1.1e-04 1.00e+00 1.664052847e+02 1.664094346e+02 9.3e-10 2.05
56 1.5e-06 1.1e-02 9.9e-05 1.00e+00 1.664055644e+02 1.664092993e+02 8.3e-10 2.08
57 1.4e-06 1.1e-02 8.9e-05 1.00e+00 1.664058161e+02 1.664091775e+02 7.5e-10 2.12
58 1.2e-06 1.0e-02 8.0e-05 1.00e+00 1.664060425e+02 1.664090677e+02 6.8e-10 2.15
59 1.1e-06 1.0e-02 7.2e-05 1.00e+00 1.664062462e+02 1.664089689e+02 6.1e-10 2.19
60 1.0e-06 9.8e-03 6.5e-05 1.00e+00 1.664064295e+02 1.664088799e+02 5.5e-10 2.23
61 9.0e-07 9.6e-03 5.9e-05 1.00e+00 1.664065944e+02 1.664087998e+02 4.9e-10 2.26
62 8.1e-07 9.4e-03 5.3e-05 1.00e+00 1.664067428e+02 1.664087276e+02 4.4e-10 2.30
63 7.3e-07 9.2e-03 4.7e-05 1.00e+00 1.664068763e+02 1.664086626e+02 4.0e-10 2.33
64 6.6e-07 9.1e-03 4.3e-05 1.00e+00 1.664069963e+02 1.664086040e+02 3.6e-10 2.36
65 5.9e-07 8.9e-03 3.8e-05 1.00e+00 1.664071044e+02 1.664085512e+02 3.2e-10 2.40
66 5.3e-07 8.8e-03 3.5e-05 1.00e+00 1.664072015e+02 1.664085037e+02 2.9e-10 2.43
67 4.8e-07 8.7e-03 3.1e-05 1.00e+00 1.664072889e+02 1.664084609e+02 2.6e-10 2.47
68 4.3e-07 8.6e-03 2.8e-05 1.00e+00 1.664073676e+02 1.664084224e+02 2.4e-10 2.51
69 3.9e-07 8.5e-03 2.5e-05 1.00e+00 1.664074383e+02 1.664083876e+02 2.1e-10 2.54
70 3.5e-07 8.4e-03 2.3e-05 1.00e+00 1.664075019e+02 1.664083563e+02 1.9e-10 2.58
71 3.1e-07 8.3e-03 2.0e-05 9.99e-01 1.664075591e+02 1.664083281e+02 1.7e-10 2.61
72 2.8e-07 8.3e-03 1.8e-05 1.00e+00 1.664076106e+02 1.664083027e+02 1.5e-10 2.64
73 2.5e-07 8.2e-03 1.7e-05 1.00e+00 1.664076570e+02 1.664082798e+02 1.4e-10 2.68
74 2.3e-07 8.1e-03 1.5e-05 1.00e+00 1.664076986e+02 1.664082592e+02 1.3e-10 2.71
75 2.1e-07 8.1e-03 1.3e-05 1.00e+00 1.664077362e+02 1.664082407e+02 1.1e-10 2.75
76 1.9e-07 8.0e-03 1.2e-05 1.00e+00 1.664077699e+02 1.664082239e+02 1.0e-10 2.78
77 1.7e-07 8.0e-03 1.1e-05 9.99e-01 1.664078003e+02 1.664082089e+02 9.1e-11 2.82
78 1.5e-07 7.9e-03 9.8e-06 9.98e-01 1.664078276e+02 1.664081954e+02 8.2e-11 2.85
79 1.4e-07 7.9e-03 8.8e-06 1.00e+00 1.664078522e+02 1.664081832e+02 7.4e-11 2.89
80 1.2e-07 7.9e-03 7.9e-06 1.00e+00 1.664078743e+02 1.664081722e+02 6.7e-11 2.92
81 1.1e-07 7.8e-03 7.1e-06 1.00e+00 1.664078944e+02 1.664081623e+02 6.0e-11 2.96
82 9.9e-08 7.8e-03 6.4e-06 9.96e-01 1.664079123e+02 1.664081534e+02 5.4e-11 2.99
83 8.9e-08 7.8e-03 5.8e-06 9.96e-01 1.664079284e+02 1.664081455e+02 4.9e-11 3.03
84 8.0e-08 7.7e-03 5.2e-06 9.95e-01 1.664079429e+02 1.664081383e+02 4.4e-11 3.06
85 7.2e-08 7.0e-03 4.7e-06 1.01e+00 1.664079563e+02 1.664081316e+02 3.9e-11 3.09
86 6.5e-08 6.3e-03 4.2e-06 9.96e-01 1.664079680e+02 1.664081258e+02 3.6e-11 3.13
87 5.8e-08 5.6e-03 3.8e-06 9.96e-01 1.664079785e+02 1.664081206e+02 3.2e-11 3.16
88 5.2e-08 5.1e-03 3.4e-06 9.87e-01 1.664079880e+02 1.664081159e+02 2.9e-11 3.19
89 4.7e-08 4.6e-03 3.1e-06 9.87e-01 1.664079965e+02 1.664081117e+02 2.6e-11 3.23
90 4.2e-08 4.1e-03 2.8e-06 1.02e+00 1.664080047e+02 1.664081076e+02 2.3e-11 3.26
91 3.8e-08 3.7e-03 2.5e-06 9.78e-01 1.664080115e+02 1.664081042e+02 2.1e-11 3.30
92 3.4e-08 3.3e-03 2.2e-06 9.84e-01 1.664080177e+02 1.664081012e+02 1.9e-11 3.33
93 3.1e-08 3.0e-03 2.0e-06 9.72e-01 1.664080233e+02 1.664080985e+02 1.7e-11 3.36
94 2.8e-08 2.7e-03 1.8e-06 9.98e-01 1.664080283e+02 1.664080960e+02 1.5e-11 3.40
95 2.5e-08 2.4e-03 1.6e-06 9.72e-01 1.664080328e+02 1.664080938e+02 1.4e-11 3.43
96 2.3e-08 2.2e-03 1.5e-06 1.01e+00 1.664080370e+02 1.664080916e+02 1.3e-11 3.47
97 2.0e-08 2.0e-03 1.3e-06 9.69e-01 1.664080406e+02 1.664080899e+02 1.1e-11 3.50
98 1.8e-08 1.8e-03 1.2e-06 1.01e+00 1.664080440e+02 1.664080882e+02 1.0e-11 3.53
99 1.6e-08 1.6e-03 1.1e-06 9.90e-01 1.664080469e+02 1.664080867e+02 9.2e-12 3.56
100 1.5e-08 1.4e-03 9.6e-07 1.05e+00 1.664080502e+02 1.664080850e+02 8.4e-12 3.59
101 1.3e-08 1.3e-03 8.7e-07 1.01e+00 1.664080526e+02 1.664080837e+02 7.6e-12 3.63
102 1.2e-08 1.2e-03 7.8e-07 1.04e+00 1.664080550e+02 1.664080825e+02 7.0e-12 3.66
103 1.1e-08 1.0e-03 7.0e-07 1.23e+00 1.664080569e+02 1.664080815e+02 6.3e-12 3.70
104 9.8e-09 9.4e-04 6.3e-07 1.01e+00 1.664080586e+02 1.664080807e+02 5.7e-12 3.73
105 8.8e-09 8.5e-04 5.7e-07 9.57e-01 1.664080600e+02 1.664080800e+02 5.1e-12 3.77
106 8.0e-09 7.6e-04 5.1e-07 1.03e+00 1.664080615e+02 1.664080792e+02 4.7e-12 3.80
107 7.2e-09 6.8e-04 4.6e-07 1.01e+00 1.664080628e+02 1.664080786e+02 4.2e-12 3.83
108 6.5e-09 6.2e-04 4.1e-07 1.02e+00 1.664080639e+02 1.664080780e+02 3.8e-12 3.86
109 5.8e-09 5.5e-04 3.7e-07 9.23e-01 1.664080649e+02 1.664080776e+02 3.5e-12 3.90
110 5.2e-09 5.0e-04 3.4e-07 9.39e-01 1.664080657e+02 1.664080772e+02 3.1e-12 3.93
111 4.7e-09 4.5e-04 3.0e-07 8.94e-01 1.664080665e+02 1.664080768e+02 2.8e-12 3.96
112 4.6e-09 4.0e-04 2.7e-07 1.61e+00 1.664080672e+02 1.664080763e+02 2.5e-12 4.00
113 4.2e-09 3.6e-04 2.4e-07 1.47e+00 1.664080679e+02 1.664080759e+02 2.3e-12 4.04
114 3.7e-09 3.3e-04 2.2e-07 7.75e-01 1.664080684e+02 1.664080757e+02 2.0e-12 4.07
115 3.4e-09 2.9e-04 2.0e-07 1.06e+00 1.664080690e+02 1.664080754e+02 1.9e-12 4.11
116 3.0e-09 2.7e-04 1.8e-07 9.30e-01 1.664080694e+02 1.664080752e+02 1.7e-12 4.14
117 2.8e-09 2.4e-04 1.6e-07 7.85e-01 1.664080698e+02 1.664080750e+02 1.5e-12 4.18
118 2.5e-09 2.1e-04 1.4e-07 8.72e-01 1.664080702e+02 1.664080749e+02 1.4e-12 4.21
119 2.4e-09 1.9e-04 1.3e-07 1.03e+00 1.664080705e+02 1.664080747e+02 1.3e-12 4.25
120 2.1e-09 1.7e-04 1.2e-07 8.85e-01 1.664080708e+02 1.664080746e+02 1.1e-12 4.29
121 1.9e-09 1.6e-04 1.1e-07 9.91e-01 1.664080711e+02 1.664080745e+02 1.0e-12 4.32
122 3.3e-09 3.2e-05 2.1e-08 7.86e-01 1.664080730e+02 1.664080737e+02 2.7e-13 4.37
Interior-point optimizer terminated. Time: 4.37.
Optimizer terminated. Time: 4.39
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807297e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6640807372e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.42 seconds.
Solving took 9 GP solves and 50.9 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: 1.4957407146181154e+110 vs 1.49570249791e+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: 3.705328294415081e+72 vs 3.70520124337e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682557]
Total Aircraft Weight Percent Diff: [-21.48055336]
Engine Weight Percent Diff: -56.278266120097804
Fuselage Weight Percent Diff: -0.8697441557024503
Payload Weight Percent Diff: [-0.04003561]
VT Weight Percent Diff: -8.607889931745563
HT Weight Percent Diff: -93.23333603391782
Wing Weight Percent Diff: 8.267618974568988
WING DIFFERENCES
Wing Span Percent Diff: -0.029993136094495845
Wing Area Percent Diff: 32.89942730850282
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.488112681278544
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022344016831829
VT Area Percent Diff: -60.386838826968685
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54709766]
L/D Percent Diff: [24.01024908]
Nacelle Cd Percent Diff: [-94.27640964]
HT Cd Percent Diff: [-80.76943885] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00282361] dimensionless
Wing Cd percent Diff: [-14.2290249]
Induced Drag Cd Percent Diff: [1.21949105]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035753]
FUSELAGE DIFFERENCES
Weight of HB material: -38.361420090475036
Weight of VB material: 87.81596220119371
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260513]
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: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 775
Optimizer - Cones : 0
Optimizer - Scalar variables : 3450 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 -1.281666983e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.3e+04 -9.71e-01 -1.261218226e+05 3.598635511e+00 4.9e-01 0.12
2 4.2e+02 5.4e+02 2.3e+04 -9.38e-01 -1.196986776e+05 1.049612556e+01 1.8e-01 0.16
3 2.9e+02 3.7e+02 1.6e+04 -8.36e-01 -1.152517365e+05 6.526812103e+01 1.3e-01 0.20
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127868408e+05 2.118228548e+03 1.3e-01 0.23
5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.068799576e+04 8.526618424e+03 3.9e-02 0.26
6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.760458966e+04 1.028990388e+04 1.6e-02 0.29
7 2.1e+01 2.8e+01 1.2e+03 2.57e-01 -3.157726260e+04 7.236293748e+03 9.5e-03 0.33
8 9.4e+00 1.2e+01 5.3e+02 5.39e-01 -1.509593591e+04 4.206138280e+03 4.2e-03 0.37
9 5.5e+00 7.1e+00 3.1e+02 8.14e-01 -8.773768620e+03 2.846846543e+03 2.5e-03 0.41
10 1.4e+00 1.8e+00 7.7e+01 9.08e-01 -2.041784782e+03 9.404571849e+02 6.1e-04 0.45
11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.319589353e+02 7.263088852e+02 3.2e-04 0.49
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.792739518e+02 5.657797535e+02 2.2e-04 0.53
13 3.6e-01 7.9e-01 2.1e+01 9.79e-01 -3.146735073e+02 4.898416787e+02 1.6e-04 0.57
14 1.7e-01 3.8e-01 9.9e+00 9.96e-01 -1.839482231e+01 3.675794473e+02 7.9e-05 0.61
15 5.5e-02 1.6e-01 3.3e+00 9.95e-01 1.625345294e+02 2.906236598e+02 2.7e-05 0.65
16 3.2e-02 1.4e-01 1.9e+00 1.00e+00 1.998987374e+02 2.749101314e+02 1.6e-05 0.69
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.445645877e+02 2.572751647e+02 2.8e-06 0.73
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509515436e+02 2.547018908e+02 8.4e-07 0.77
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527847281e+02 2.540260964e+02 2.8e-07 0.81
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532886539e+02 2.538372319e+02 1.2e-07 0.85
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533297254e+02 2.538234601e+02 1.1e-07 0.89
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533655498e+02 2.538098865e+02 1.0e-07 0.93
23 1.5e-04 6.5e-02 1.0e-02 1.00e+00 2.533978341e+02 2.537977210e+02 9.0e-08 0.98
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534268640e+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 1.10
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534975715e+02 2.537599013e+02 5.9e-08 1.14
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535165675e+02 2.537526578e+02 5.3e-08 1.18
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535336550e+02 2.537461308e+02 4.8e-08 1.21
30 7.4e-05 3.5e-02 4.9e-03 1.00e+00 2.535490262e+02 2.537402502e+02 4.3e-08 1.25
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535628541e+02 2.537349522e+02 3.9e-08 1.28
32 6.0e-05 3.0e-02 4.0e-03 1.00e+00 2.535752940e+02 2.537301795e+02 3.5e-08 1.32
33 5.4e-05 2.7e-02 3.6e-03 1.00e+00 2.535864855e+02 2.537258803e+02 3.1e-08 1.36
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535965542e+02 2.537220077e+02 2.8e-08 1.39
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536056128e+02 2.537185196e+02 2.5e-08 1.42
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536137629e+02 2.537153779e+02 2.3e-08 1.45
37 3.5e-05 2.1e-02 2.4e-03 1.00e+00 2.536210956e+02 2.537125484e+02 2.1e-08 1.49
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276932e+02 2.537100001e+02 1.9e-08 1.53
39 2.9e-05 1.8e-02 1.9e-03 1.00e+00 2.536336294e+02 2.537077051e+02 1.7e-08 1.56
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389705e+02 2.537056383e+02 1.5e-08 1.60
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536437764e+02 2.537037772e+02 1.4e-08 1.63
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536481008e+02 2.537021013e+02 1.2e-08 1.66
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536519919e+02 2.537005922e+02 1.1e-08 1.69
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554932e+02 2.536992334e+02 9.9e-09 1.72
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586439e+02 2.536980100e+02 8.9e-09 1.75
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614790e+02 2.536969086e+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 1.87
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536683922e+02 2.536942204e+02 5.8e-09 1.90
50 9.0e-06 1.1e-02 6.0e-04 1.00e+00 2.536702514e+02 2.536934968e+02 5.2e-09 1.94
51 8.1e-06 1.0e-02 5.4e-04 1.00e+00 2.536719246e+02 2.536928455e+02 4.7e-09 1.98
52 7.3e-06 1.0e-02 4.9e-04 1.00e+00 2.536734303e+02 2.536922592e+02 4.3e-09 2.02
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536747853e+02 2.536917313e+02 3.8e-09 2.06
54 5.9e-06 9.7e-03 3.9e-04 1.00e+00 2.536760048e+02 2.536912562e+02 3.4e-09 2.10
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536771022e+02 2.536908285e+02 3.1e-09 2.14
56 4.8e-06 9.2e-03 3.2e-04 1.00e+00 2.536780898e+02 2.536904435e+02 2.8e-09 2.17
57 4.3e-06 9.1e-03 2.9e-04 1.00e+00 2.536789786e+02 2.536900970e+02 2.5e-09 2.21
58 3.9e-06 8.9e-03 2.6e-04 1.00e+00 2.536797785e+02 2.536897850e+02 2.3e-09 2.24
59 3.5e-06 8.8e-03 2.3e-04 1.00e+00 2.536804983e+02 2.536895042e+02 2.0e-09 2.28
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811461e+02 2.536892514e+02 1.8e-09 2.31
61 1.2e-06 3.4e-03 8.2e-05 1.00e+00 2.536847023e+02 2.536878624e+02 7.1e-10 2.35
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849302e+02 2.536877743e+02 6.4e-10 2.39
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862403e+02 2.536872621e+02 2.3e-10 2.42
64 3.5e-07 9.8e-04 2.4e-05 1.00e+00 2.536863139e+02 2.536872335e+02 2.1e-10 2.45
65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863799e+02 2.536872076e+02 1.9e-10 2.48
66 2.9e-07 7.9e-04 1.9e-05 1.00e+00 2.536864394e+02 2.536871843e+02 1.7e-10 2.51
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864930e+02 2.536871634e+02 1.5e-10 2.55
68 2.3e-07 6.4e-04 1.6e-05 1.00e+00 2.536865412e+02 2.536871445e+02 1.4e-10 2.58
69 2.1e-07 5.8e-04 1.4e-05 1.00e+00 2.536865845e+02 2.536871275e+02 1.2e-10 2.62
70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866235e+02 2.536871123e+02 1.1e-10 2.65
71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866587e+02 2.536870985e+02 9.9e-11 2.68
72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866903e+02 2.536870861e+02 8.9e-11 2.72
73 1.4e-07 3.8e-04 9.2e-06 1.00e+00 2.536867187e+02 2.536870750e+02 8.0e-11 2.76
74 1.2e-07 3.4e-04 8.3e-06 1.00e+00 2.536867445e+02 2.536870648e+02 7.2e-11 2.79
75 1.1e-07 3.1e-04 7.4e-06 1.00e+00 2.536867676e+02 2.536870558e+02 6.5e-11 2.83
76 1.0e-07 2.8e-04 6.7e-06 1.00e+00 2.536867883e+02 2.536870477e+02 5.9e-11 2.86
77 9.0e-08 2.5e-04 6.0e-06 1.00e+00 2.536868069e+02 2.536870404e+02 5.3e-11 2.90
78 8.1e-08 2.2e-04 5.4e-06 9.97e-01 2.536868237e+02 2.536870339e+02 4.8e-11 2.94
79 7.3e-08 2.0e-04 4.9e-06 9.99e-01 2.536868388e+02 2.536870280e+02 4.3e-11 2.98
80 6.6e-08 1.8e-04 4.4e-06 1.00e+00 2.536868524e+02 2.536870226e+02 3.9e-11 3.02
81 5.9e-08 1.6e-04 4.0e-06 1.00e+00 2.536868646e+02 2.536870178e+02 3.5e-11 3.05
82 5.3e-08 1.5e-04 3.6e-06 1.00e+00 2.536868756e+02 2.536870135e+02 3.1e-11 3.08
83 4.8e-08 1.3e-04 3.2e-06 1.00e+00 2.536868855e+02 2.536870096e+02 2.8e-11 3.11
84 4.3e-08 1.2e-04 2.9e-06 1.00e+00 2.536868944e+02 2.536870061e+02 2.5e-11 3.14
85 3.9e-08 1.1e-04 2.6e-06 9.98e-01 2.536869025e+02 2.536870030e+02 2.3e-11 3.18
86 3.5e-08 9.6e-05 2.3e-06 9.99e-01 2.536869097e+02 2.536870002e+02 2.0e-11 3.22
87 3.1e-08 8.6e-05 2.1e-06 9.98e-01 2.536869162e+02 2.536869976e+02 1.8e-11 3.25
88 2.8e-08 7.8e-05 1.9e-06 1.00e+00 2.536869220e+02 2.536869953e+02 1.7e-11 3.28
89 2.5e-08 7.0e-05 1.7e-06 1.00e+00 2.536869273e+02 2.536869932e+02 1.5e-11 3.31
90 2.3e-08 6.3e-05 1.5e-06 9.99e-01 2.536869320e+02 2.536869914e+02 1.3e-11 3.35
91 2.1e-08 5.7e-05 1.4e-06 1.00e+00 2.536869363e+02 2.536869897e+02 1.2e-11 3.38
92 1.9e-08 5.1e-05 1.2e-06 1.00e+00 2.536869401e+02 2.536869882e+02 1.1e-11 3.41
93 1.7e-08 4.6e-05 1.1e-06 1.00e+00 2.536869436e+02 2.536869868e+02 9.8e-12 3.44
94 1.5e-08 4.1e-05 1.0e-06 1.01e+00 2.536869468e+02 2.536869856e+02 8.8e-12 3.47
95 1.3e-08 3.7e-05 9.1e-07 1.00e+00 2.536869496e+02 2.536869845e+02 8.0e-12 3.50
96 1.2e-08 3.4e-05 8.1e-07 9.99e-01 2.536869521e+02 2.536869835e+02 7.2e-12 3.53
97 1.1e-08 3.0e-05 7.3e-07 1.01e+00 2.536869544e+02 2.536869826e+02 6.5e-12 3.57
98 9.8e-09 2.7e-05 6.6e-07 1.01e+00 2.536869565e+02 2.536869817e+02 5.8e-12 3.60
Interior-point optimizer terminated. Time: 3.60.
Optimizer terminated. Time: 3.62
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695652e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698174e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.65 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 : 0.09 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 -1.282478222e+05 2.000000000e+00 1.0e+00 0.12
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.260309133e+05 3.765030465e+00 4.7e-01 0.17
2 4.6e+02 5.9e+02 2.6e+04 -9.35e-01 -1.206226199e+05 9.889101586e+00 2.0e-01 0.20
3 2.9e+02 3.7e+02 1.6e+04 -8.49e-01 -1.154649667e+05 5.287064955e+01 1.3e-01 0.23
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.133003651e+05 1.900915470e+03 1.3e-01 0.27
5 8.2e+01 1.1e+02 4.6e+03 -7.57e-01 -7.788392957e+04 9.190691820e+03 3.6e-02 0.30
6 3.6e+01 4.6e+01 2.0e+03 -2.50e-01 -4.647713150e+04 1.020087215e+04 1.6e-02 0.33
7 1.8e+01 2.4e+01 1.0e+03 2.81e-01 -2.766869955e+04 6.418304404e+03 8.1e-03 0.37
8 9.2e+00 1.2e+01 5.1e+02 6.08e-01 -1.469555371e+04 4.041871889e+03 4.1e-03 0.40
9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.070667745e+03 2.774702617e+03 2.5e-03 0.43
10 2.0e+00 2.5e+00 1.1e+02 9.04e-01 -3.094062111e+03 1.193657245e+03 8.8e-04 0.47
11 1.6e+00 2.1e+00 9.1e+01 9.74e-01 -2.466457362e+03 1.043401212e+03 7.2e-04 0.50
12 9.0e-01 1.3e+00 5.1e+01 9.76e-01 -1.308690199e+03 6.778787039e+02 4.0e-04 0.53
13 4.5e-01 6.9e-01 2.5e+01 9.85e-01 -5.549300264e+02 4.398443812e+02 2.0e-04 0.57
14 2.3e-01 3.6e-01 1.3e+01 9.98e-01 -1.980184055e+02 3.180837890e+02 1.1e-04 0.60
15 1.0e-01 1.7e-01 5.8e+00 1.00e+00 1.009291772e+01 2.372083435e+02 4.7e-05 0.64
16 5.1e-02 1.1e-01 2.9e+00 1.00e+00 9.056220164e+01 2.045814434e+02 2.4e-05 0.68
17 1.0e-02 1.5e-01 6.3e-01 1.00e+00 1.546595142e+02 1.792230600e+02 5.3e-06 0.71
18 6.3e-03 1.1e-01 3.9e-01 1.01e+00 1.614768366e+02 1.765369236e+02 3.2e-06 0.75
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.694450703e+02 1.735001826e+02 8.9e-07 0.78
20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717838485e+02 1.726276254e+02 1.9e-07 0.82
21 1.4e-04 1.1e-01 9.3e-03 9.93e-01 1.721423970e+02 1.725031082e+02 8.2e-08 0.85
22 8.9e-05 8.4e-02 5.9e-03 1.00e+00 1.722365070e+02 1.724653332e+02 5.2e-08 0.89
23 8.0e-05 7.8e-02 5.3e-03 1.00e+00 1.722544584e+02 1.724604743e+02 4.7e-08 0.93
24 7.2e-05 7.1e-02 4.8e-03 1.00e+00 1.722695532e+02 1.724549693e+02 4.2e-08 0.96
25 6.5e-05 6.5e-02 4.3e-03 1.00e+00 1.722831750e+02 1.724500488e+02 3.8e-08 1.00
26 5.8e-05 5.9e-02 3.9e-03 1.00e+00 1.722954057e+02 1.724455908e+02 3.4e-08 1.04
27 5.2e-05 5.4e-02 3.5e-03 1.00e+00 1.723064006e+02 1.724415655e+02 3.1e-08 1.08
28 4.7e-05 4.9e-02 3.2e-03 1.00e+00 1.723162809e+02 1.724379277e+02 2.8e-08 1.12
29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723251598e+02 1.724346403e+02 2.5e-08 1.15
30 3.8e-05 4.2e-02 2.6e-03 1.00e+00 1.723331386e+02 1.724316696e+02 2.2e-08 1.19
31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723403089e+02 1.724289856e+02 2.0e-08 1.22
32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723467532e+02 1.724265612e+02 1.8e-08 1.26
33 2.8e-05 3.3e-02 1.9e-03 1.00e+00 1.723525457e+02 1.724243720e+02 1.6e-08 1.30
34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723577528e+02 1.724223958e+02 1.5e-08 1.33
35 2.3e-05 2.8e-02 1.5e-03 1.00e+00 1.723624342e+02 1.724206124e+02 1.3e-08 1.37
36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723666435e+02 1.724190034e+02 1.2e-08 1.41
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723704284e+02 1.724175521e+02 1.1e-08 1.44
38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723738321e+02 1.724162432e+02 9.7e-09 1.48
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723768932e+02 1.724150629e+02 8.7e-09 1.52
40 1.3e-05 2.0e-02 8.9e-04 1.00e+00 1.723796462e+02 1.724139988e+02 7.8e-09 1.55
41 1.2e-05 1.9e-02 8.0e-04 1.00e+00 1.723821223e+02 1.724130396e+02 7.0e-09 1.59
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723843494e+02 1.724121750e+02 6.3e-09 1.63
43 9.7e-06 1.6e-02 6.5e-04 1.00e+00 1.723863527e+02 1.724113957e+02 5.7e-09 1.67
44 8.7e-06 1.6e-02 5.8e-04 1.00e+00 1.723881547e+02 1.724106934e+02 5.1e-09 1.71
45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723897758e+02 1.724100606e+02 4.6e-09 1.74
46 7.1e-06 1.4e-02 4.7e-04 1.00e+00 1.723912341e+02 1.724094904e+02 4.2e-09 1.78
47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723925460e+02 1.724089767e+02 3.7e-09 1.81
48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723937262e+02 1.724085139e+02 3.4e-09 1.85
49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723947880e+02 1.724080970e+02 3.0e-09 1.89
50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723957434e+02 1.724077215e+02 2.7e-09 1.92
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723966029e+02 1.724073833e+02 2.5e-09 1.96
52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723973762e+02 1.724070786e+02 2.2e-09 2.00
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980720e+02 1.724068042e+02 2.0e-09 2.03
54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986981e+02 1.724065571e+02 1.8e-09 2.06
55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992615e+02 1.724063346e+02 1.6e-09 2.09
56 2.5e-06 9.8e-03 1.7e-04 1.00e+00 1.723997683e+02 1.724061342e+02 1.4e-09 2.13
57 2.2e-06 9.6e-03 1.5e-04 1.00e+00 1.724002245e+02 1.724059538e+02 1.3e-09 2.17
58 2.0e-06 9.4e-03 1.3e-04 1.00e+00 1.724006349e+02 1.724057913e+02 1.2e-09 2.21
59 1.8e-06 9.2e-03 1.2e-04 1.00e+00 1.724010042e+02 1.724056450e+02 1.1e-09 2.24
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013365e+02 1.724055132e+02 9.5e-10 2.27
61 1.5e-06 8.9e-03 9.8e-05 1.00e+00 1.724016355e+02 1.724053946e+02 8.6e-10 2.31
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724019046e+02 1.724052878e+02 7.7e-10 2.34
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021467e+02 1.724051916e+02 6.9e-10 2.37
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023646e+02 1.724051051e+02 6.2e-10 2.40
65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025607e+02 1.724050271e+02 5.6e-10 2.43
66 8.6e-07 8.3e-03 5.8e-05 1.00e+00 1.724027371e+02 1.724049569e+02 5.1e-10 2.46
67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028959e+02 1.724048937e+02 4.5e-10 2.49
68 7.0e-07 8.2e-03 4.7e-05 1.00e+00 1.724030388e+02 1.724048368e+02 4.1e-10 2.53
69 6.3e-07 8.1e-03 4.2e-05 1.00e+00 1.724031673e+02 1.724047856e+02 3.7e-10 2.56
70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032830e+02 1.724047395e+02 3.3e-10 2.59
71 5.1e-07 8.0e-03 3.4e-05 1.00e+00 1.724033872e+02 1.724046979e+02 3.0e-10 2.63
72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034808e+02 1.724046606e+02 2.7e-10 2.66
73 4.1e-07 7.9e-03 2.8e-05 1.00e+00 1.724035651e+02 1.724046269e+02 2.4e-10 2.69
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036410e+02 1.724045966e+02 2.2e-10 2.73
75 3.3e-07 7.8e-03 2.2e-05 1.00e+00 1.724037093e+02 1.724045693e+02 2.0e-10 2.76
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037707e+02 1.724045448e+02 1.8e-10 2.79
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038260e+02 1.724045227e+02 1.6e-10 2.82
78 2.4e-07 7.7e-03 1.6e-05 1.00e+00 1.724038758e+02 1.724045027e+02 1.4e-10 2.86
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039205e+02 1.724044848e+02 1.3e-10 2.89
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039608e+02 1.724044687e+02 1.2e-10 2.92
81 1.8e-07 7.6e-03 1.2e-05 1.00e+00 1.724039971e+02 1.724044542e+02 1.0e-10 2.95
82 1.6e-07 7.6e-03 1.1e-05 1.00e+00 1.724040297e+02 1.724044411e+02 9.4e-11 2.98
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040591e+02 1.724044293e+02 8.4e-11 3.01
84 1.3e-07 7.5e-03 8.6e-06 9.99e-01 1.724040855e+02 1.724044187e+02 7.6e-11 3.04
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041093e+02 1.724044092e+02 6.8e-11 3.07
86 1.0e-07 7.5e-03 7.0e-06 1.00e+00 1.724041307e+02 1.724044006e+02 6.1e-11 3.10
87 9.4e-08 7.4e-03 6.3e-06 1.00e+00 1.724041499e+02 1.724043928e+02 5.5e-11 3.13
88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041673e+02 1.724043859e+02 5.0e-11 3.16
89 7.6e-08 7.4e-03 5.1e-06 1.00e+00 1.724041829e+02 1.724043796e+02 4.5e-11 3.19
90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041969e+02 1.724043740e+02 4.0e-11 3.23
91 6.2e-08 7.4e-03 4.1e-06 1.00e+00 1.724042095e+02 1.724043689e+02 3.6e-11 3.27
92 5.6e-08 7.4e-03 3.7e-06 1.00e+00 1.724042209e+02 1.724043643e+02 3.3e-11 3.31
93 5.0e-08 7.4e-03 3.3e-06 1.00e+00 1.724042311e+02 1.724043602e+02 2.9e-11 3.35
94 4.5e-08 7.3e-03 3.0e-06 9.98e-01 1.724042403e+02 1.724043565e+02 2.6e-11 3.38
95 4.1e-08 7.3e-03 2.7e-06 1.00e+00 1.724042486e+02 1.724043532e+02 2.4e-11 3.42
96 3.6e-08 7.3e-03 2.4e-06 1.00e+00 1.724042560e+02 1.724043502e+02 2.1e-11 3.46
97 3.3e-08 7.3e-03 2.2e-06 1.00e+00 1.724042628e+02 1.724043475e+02 1.9e-11 3.49
98 3.0e-08 7.3e-03 2.0e-06 1.00e+00 1.724042688e+02 1.724043450e+02 1.7e-11 3.53
99 2.7e-08 7.3e-03 1.8e-06 1.00e+00 1.724042742e+02 1.724043428e+02 1.6e-11 3.57
100 2.4e-08 7.3e-03 1.6e-06 1.00e+00 1.724042791e+02 1.724043409e+02 1.4e-11 3.61
101 2.2e-08 7.3e-03 1.4e-06 1.00e+00 1.724042835e+02 1.724043391e+02 1.3e-11 3.65
102 1.9e-08 7.3e-03 1.3e-06 9.99e-01 1.724042875e+02 1.724043375e+02 1.1e-11 3.69
103 1.7e-08 7.3e-03 1.2e-06 1.00e+00 1.724042910e+02 1.724043360e+02 1.0e-11 3.72
104 1.6e-08 7.2e-03 1.1e-06 9.99e-01 1.724042942e+02 1.724043347e+02 9.2e-12 3.76
105 1.4e-08 7.2e-03 9.5e-07 1.00e+00 1.724042971e+02 1.724043336e+02 8.3e-12 3.80
106 3.6e-09 1.8e-03 2.4e-07 1.01e+00 1.724043165e+02 1.724043256e+02 2.1e-12 3.83
107 3.2e-09 1.6e-03 2.1e-07 9.88e-01 1.724043172e+02 1.724043254e+02 1.9e-12 3.87
108 7.0e-10 3.6e-04 4.7e-08 1.00e+00 1.724043218e+02 1.724043236e+02 4.1e-13 3.91
Interior-point optimizer terminated. Time: 3.92.
Optimizer terminated. Time: 3.94
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432178e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432357e+02 Viol. con: 0e+00 var: 3e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.97 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 : 0.04
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 -1.285051264e+05 2.000000000e+00 1.0e+00 0.10
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263516766e+05 3.622987498e+00 4.8e-01 0.28
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203749032e+05 1.006399257e+01 1.9e-01 0.31
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.156664675e+05 6.036391965e+01 1.3e-01 0.35
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131640655e+05 2.177939625e+03 1.3e-01 0.40
5 8.0e+01 1.0e+02 4.5e+03 -7.55e-01 -7.692505542e+04 9.482544447e+03 3.5e-02 0.45
6 4.0e+01 5.1e+01 2.2e+03 -2.30e-01 -5.033254310e+04 1.013241941e+04 1.8e-02 0.48
7 3.0e+01 3.9e+01 1.7e+03 2.22e-01 -4.131699519e+04 8.369855136e+03 1.3e-02 0.51
8 1.8e+01 2.3e+01 1.0e+03 3.84e-01 -2.789882099e+04 5.363496695e+03 8.0e-03 0.54
9 7.8e+00 1.0e+01 4.3e+02 6.13e-01 -1.276861636e+04 3.127656312e+03 3.4e-03 0.58
10 4.0e+00 5.2e+00 2.2e+02 8.50e-01 -6.365154719e+03 2.113270122e+03 1.8e-03 0.62
11 2.3e+00 2.9e+00 1.3e+02 9.42e-01 -3.529554645e+03 1.328166683e+03 1.0e-03 0.66
12 9.6e-01 1.2e+00 5.4e+01 9.75e-01 -1.403510808e+03 6.746281377e+02 4.3e-04 0.70
13 7.9e-01 1.0e+00 4.5e+01 9.75e-01 -1.156768839e+03 5.907340417e+02 3.5e-04 0.73
14 7.4e-01 9.7e-01 4.2e+01 9.79e-01 -1.057471549e+03 5.717601132e+02 3.3e-04 0.77
15 2.6e-01 3.8e-01 1.5e+01 9.81e-01 -2.737787483e+02 3.081500535e+02 1.2e-04 0.81
16 1.5e-01 3.5e-01 8.3e+00 1.01e+00 -8.642073250e+01 2.392252242e+02 6.7e-05 0.85
17 8.3e-02 2.1e-01 4.8e+00 1.01e+00 1.791704715e+01 2.035091033e+02 3.8e-05 0.88
18 8.2e-02 2.1e-01 4.7e+00 1.02e+00 1.974551322e+01 2.036482004e+02 3.8e-05 0.92
19 6.8e-02 1.8e-01 3.9e+00 1.01e+00 5.098868060e+01 2.030408409e+02 3.2e-05 0.96
20 2.0e-02 1.0e-01 1.2e+00 1.01e+00 1.311391451e+02 1.772958370e+02 9.6e-06 1.00
21 6.2e-03 1.8e-01 3.7e-01 1.02e+00 1.567389622e+02 1.709888099e+02 3.0e-06 1.03
22 5.8e-03 1.7e-01 3.5e-01 9.83e-01 1.572781854e+02 1.705714470e+02 2.8e-06 1.07
23 4.3e-03 1.3e-01 2.6e-01 9.58e-01 1.597735064e+02 1.696670369e+02 2.1e-06 1.11
24 2.0e-03 7.8e-02 1.2e-01 9.73e-01 1.636473055e+02 1.683047564e+02 9.8e-07 1.15
25 1.2e-03 6.0e-02 7.4e-02 1.00e+00 1.650413621e+02 1.678696593e+02 6.0e-07 1.18
26 4.9e-04 8.1e-02 3.0e-02 1.01e+00 1.662737425e+02 1.674315933e+02 2.5e-07 1.22
27 2.2e-04 8.3e-02 1.4e-02 1.01e+00 1.667346220e+02 1.672491272e+02 1.1e-07 1.25
28 2.0e-04 7.6e-02 1.2e-02 1.01e+00 1.667749287e+02 1.672380176e+02 1.0e-07 1.28
29 1.8e-04 6.9e-02 1.1e-02 1.01e+00 1.668078171e+02 1.672244413e+02 9.0e-08 1.33
30 1.6e-04 6.3e-02 9.9e-03 1.01e+00 1.668374819e+02 1.672123259e+02 8.1e-08 1.37
31 1.4e-04 5.7e-02 8.9e-03 1.01e+00 1.668639853e+02 1.672012438e+02 7.3e-08 1.41
32 1.3e-04 5.2e-02 8.0e-03 1.01e+00 1.668877437e+02 1.671911915e+02 6.5e-08 1.44
33 1.2e-04 4.8e-02 7.2e-03 1.01e+00 1.669090378e+02 1.671820700e+02 5.9e-08 1.48
34 1.0e-04 4.4e-02 6.5e-03 1.01e+00 1.669281295e+02 1.671737996e+02 5.3e-08 1.52
35 9.3e-05 4.0e-02 5.8e-03 1.01e+00 1.669452501e+02 1.671663046e+02 4.8e-08 1.55
36 8.4e-05 3.7e-02 5.2e-03 1.01e+00 1.669606063e+02 1.671595152e+02 4.3e-08 1.59
37 7.6e-05 3.4e-02 4.7e-03 1.01e+00 1.669743829e+02 1.671533680e+02 3.9e-08 1.62
38 6.8e-05 3.1e-02 4.3e-03 1.01e+00 1.669867445e+02 1.671478040e+02 3.5e-08 1.66
39 6.1e-05 2.9e-02 3.8e-03 1.00e+00 1.669978383e+02 1.671427698e+02 3.1e-08 1.69
40 5.5e-05 2.7e-02 3.4e-03 1.00e+00 1.670077958e+02 1.671382161e+02 2.8e-08 1.73
41 5.0e-05 2.5e-02 3.1e-03 1.00e+00 1.670167348e+02 1.671340984e+02 2.5e-08 1.77
42 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.670247605e+02 1.671303757e+02 2.3e-08 1.80
43 4.0e-05 2.2e-02 2.5e-03 1.00e+00 1.670319670e+02 1.671270109e+02 2.1e-08 1.84
44 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.670384389e+02 1.671239705e+02 1.8e-08 1.87
45 3.3e-05 1.9e-02 2.0e-03 1.00e+00 1.670442516e+02 1.671212238e+02 1.7e-08 1.91
46 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.670494729e+02 1.671187426e+02 1.5e-08 1.94
47 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.670541634e+02 1.671165020e+02 1.3e-08 1.98
48 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.670583776e+02 1.671144790e+02 1.2e-08 2.02
49 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.670621641e+02 1.671126526e+02 1.1e-08 2.05
50 1.9e-05 1.5e-02 1.2e-03 1.00e+00 1.670655667e+02 1.671110042e+02 9.8e-09 2.09
51 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.670686245e+02 1.671095166e+02 8.9e-09 2.12
52 1.6e-05 1.3e-02 9.7e-04 1.00e+00 1.670713728e+02 1.671081743e+02 8.0e-09 2.16
53 1.4e-05 1.3e-02 8.8e-04 1.00e+00 1.670738431e+02 1.671069635e+02 7.2e-09 2.19
54 1.3e-05 1.2e-02 7.9e-04 1.00e+00 1.670760636e+02 1.671058711e+02 6.5e-09 2.23
55 1.1e-05 1.2e-02 7.1e-04 1.00e+00 1.670780599e+02 1.671048860e+02 5.8e-09 2.27
56 1.0e-05 1.1e-02 6.4e-04 1.00e+00 1.670798546e+02 1.671039975e+02 5.2e-09 2.31
57 9.2e-06 1.1e-02 5.7e-04 1.00e+00 1.670814683e+02 1.671031966e+02 4.7e-09 2.35
58 8.3e-06 1.1e-02 5.2e-04 1.00e+00 1.670829193e+02 1.671024744e+02 4.2e-09 2.38
59 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.670842241e+02 1.671018234e+02 3.8e-09 2.42
60 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.670853975e+02 1.671012368e+02 3.4e-09 2.46
61 6.0e-06 1.0e-02 3.8e-04 1.00e+00 1.670864528e+02 1.671007080e+02 3.1e-09 2.50
62 5.4e-06 9.9e-03 3.4e-04 1.00e+00 1.670874020e+02 1.671002314e+02 2.8e-09 2.54
63 2.1e-06 3.8e-03 1.3e-04 1.00e+00 1.670926602e+02 1.670975620e+02 1.1e-09 2.57
64 8.3e-07 1.5e-03 5.2e-05 1.00e+00 1.670945995e+02 1.670965760e+02 4.3e-10 2.60
65 7.5e-07 1.4e-03 4.7e-05 1.00e+00 1.670947341e+02 1.670965130e+02 3.9e-10 2.63
66 4.5e-07 8.2e-04 2.8e-05 9.99e-01 1.670952000e+02 1.670962711e+02 2.3e-10 2.66
67 4.1e-07 7.4e-04 2.6e-05 1.00e+00 1.670952716e+02 1.670962355e+02 2.1e-10 2.69
68 3.7e-07 6.6e-04 2.3e-05 9.99e-01 1.670953351e+02 1.670962027e+02 1.9e-10 2.72
69 3.3e-07 6.0e-04 2.1e-05 1.00e+00 1.670953922e+02 1.670961730e+02 1.7e-10 2.75
70 3.0e-07 5.4e-04 1.9e-05 1.00e+00 1.670954436e+02 1.670961463e+02 1.5e-10 2.78
71 2.7e-07 4.8e-04 1.7e-05 9.98e-01 1.670954898e+02 1.670961223e+02 1.4e-10 2.82
72 2.4e-07 4.4e-04 1.5e-05 9.98e-01 1.670955314e+02 1.670961007e+02 1.2e-10 2.85
73 2.2e-07 3.9e-04 1.4e-05 1.00e+00 1.670955689e+02 1.670960811e+02 1.1e-10 2.89
74 1.9e-07 3.5e-04 1.2e-05 1.00e+00 1.670956026e+02 1.670960635e+02 1.0e-10 2.93
75 1.7e-07 3.2e-04 1.1e-05 9.97e-01 1.670956329e+02 1.670960477e+02 9.0e-11 2.97
76 1.6e-07 2.9e-04 9.9e-06 1.01e+00 1.670956607e+02 1.670960331e+02 8.1e-11 3.00
77 1.4e-07 2.6e-04 8.9e-06 9.98e-01 1.670956852e+02 1.670960204e+02 7.3e-11 3.04
78 1.3e-07 2.3e-04 8.0e-06 1.00e+00 1.670957072e+02 1.670960089e+02 6.6e-11 3.07
79 1.1e-07 2.1e-04 7.2e-06 1.00e+00 1.670957271e+02 1.670959984e+02 5.9e-11 3.10
80 1.0e-07 1.9e-04 6.5e-06 1.00e+00 1.670957450e+02 1.670959890e+02 5.3e-11 3.13
81 9.3e-08 1.7e-04 5.8e-06 9.99e-01 1.670957610e+02 1.670959807e+02 4.8e-11 3.16
82 8.4e-08 1.5e-04 5.3e-06 1.01e+00 1.670957761e+02 1.670959727e+02 4.3e-11 3.19
83 7.5e-08 1.4e-04 4.7e-06 1.00e+00 1.670957892e+02 1.670959659e+02 3.9e-11 3.23
84 6.8e-08 1.2e-04 4.3e-06 1.01e+00 1.670958012e+02 1.670959596e+02 3.5e-11 3.27
85 6.1e-08 1.1e-04 3.8e-06 9.90e-01 1.670958116e+02 1.670959542e+02 3.2e-11 3.31
86 5.5e-08 1.0e-04 3.4e-06 1.00e+00 1.670958209e+02 1.670959493e+02 2.9e-11 3.35
87 4.9e-08 9.0e-05 3.1e-06 1.00e+00 1.670958294e+02 1.670959449e+02 2.6e-11 3.39
88 4.4e-08 8.1e-05 2.8e-06 1.01e+00 1.670958372e+02 1.670959408e+02 2.3e-11 3.42
89 4.0e-08 7.3e-05 2.5e-06 1.01e+00 1.670958442e+02 1.670959371e+02 2.1e-11 3.46
90 3.6e-08 6.5e-05 2.3e-06 9.84e-01 1.670958503e+02 1.670959340e+02 1.9e-11 3.49
91 3.2e-08 5.9e-05 2.0e-06 9.95e-01 1.670958558e+02 1.670959311e+02 1.7e-11 3.53
92 2.9e-08 5.3e-05 1.8e-06 1.01e+00 1.670958609e+02 1.670959284e+02 1.5e-11 3.56
93 2.6e-08 4.8e-05 1.6e-06 1.01e+00 1.670958654e+02 1.670959261e+02 1.4e-11 3.60
94 2.4e-08 4.3e-05 1.5e-06 9.87e-01 1.670958694e+02 1.670959240e+02 1.2e-11 3.63
95 2.1e-08 3.9e-05 1.3e-06 1.01e+00 1.670958732e+02 1.670959220e+02 1.1e-11 3.67
96 1.9e-08 3.5e-05 1.2e-06 1.03e+00 1.670958769e+02 1.670959200e+02 1.0e-11 3.70
97 1.7e-08 3.1e-05 1.1e-06 1.02e+00 1.670958799e+02 1.670959184e+02 9.4e-12 3.74
98 1.6e-08 2.8e-05 9.7e-07 1.03e+00 1.670958828e+02 1.670959169e+02 8.6e-12 3.77
Interior-point optimizer terminated. Time: 3.77.
Optimizer terminated. Time: 3.80
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709588283e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709591687e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.82 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 : 0.04 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 -1.282340842e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260941566e+05 3.573267096e+00 4.8e-01 0.14
2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.200565717e+05 1.003090556e+01 1.9e-01 0.18
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.153564040e+05 6.135559659e+01 1.3e-01 0.22
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.127106661e+05 2.301021721e+03 1.3e-01 0.25
5 7.4e+01 9.5e+01 4.1e+03 -7.54e-01 -7.385925358e+04 1.001974252e+04 3.3e-02 0.29
6 3.6e+01 4.7e+01 2.0e+03 -1.86e-01 -4.686871828e+04 1.035872240e+04 1.6e-02 0.33
7 2.2e+01 2.8e+01 1.2e+03 2.80e-01 -3.229437483e+04 7.125808591e+03 9.7e-03 0.37
8 1.3e+01 1.7e+01 7.4e+02 5.41e-01 -2.102026976e+04 4.794230288e+03 5.9e-03 0.40
9 5.2e+00 6.7e+00 2.9e+02 7.27e-01 -8.482399608e+03 2.381478336e+03 2.3e-03 0.44
10 2.4e+00 3.0e+00 1.3e+02 9.16e-01 -3.662366116e+03 1.406282848e+03 1.1e-03 0.48
11 1.7e+00 2.2e+00 9.5e+01 9.76e-01 -2.587846743e+03 1.057504312e+03 7.6e-04 0.51
12 8.3e-01 1.1e+00 4.7e+01 9.83e-01 -1.195675722e+03 6.123656274e+02 3.7e-04 0.55
13 7.6e-01 1.1e+00 4.2e+01 9.50e-01 -1.098083921e+03 5.684102284e+02 3.4e-04 0.58
14 6.1e-01 8.7e-01 3.4e+01 9.86e-01 -8.367308377e+02 5.040848211e+02 2.7e-04 0.62
15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.535783660e+02 2.533283306e+02 8.4e-05 0.65
16 1.0e-01 1.8e-01 5.9e+00 1.01e+00 -2.006087450e+01 2.117118061e+02 4.8e-05 0.69
17 1.0e-01 1.8e-01 5.9e+00 1.02e+00 -1.844839462e+01 2.119465740e+02 4.8e-05 0.73
18 8.8e-02 1.6e-01 5.1e+00 1.02e+00 1.413384964e+01 2.123038732e+02 4.1e-05 0.76
19 3.5e-02 9.7e-02 2.0e+00 1.01e+00 1.053779668e+02 1.837342263e+02 1.6e-05 0.80
20 1.0e-02 1.7e-01 6.0e-01 1.01e+00 1.496758659e+02 1.726890072e+02 4.8e-06 0.84
21 3.1e-03 1.8e-01 1.9e-01 1.01e+00 1.612162363e+02 1.684506842e+02 1.5e-06 0.87
22 1.2e-03 1.2e-01 7.5e-02 1.01e+00 1.645522663e+02 1.674150555e+02 6.2e-07 0.91
23 6.1e-04 8.4e-02 3.8e-02 1.00e+00 1.656029345e+02 1.670405650e+02 3.1e-07 0.94
24 2.4e-04 8.6e-02 1.5e-02 1.01e+00 1.662299150e+02 1.668057360e+02 1.3e-07 0.98
25 2.2e-04 7.9e-02 1.4e-02 1.01e+00 1.662753199e+02 1.667934024e+02 1.1e-07 1.02
26 2.0e-04 7.2e-02 1.2e-02 1.01e+00 1.663120709e+02 1.667782114e+02 1.0e-07 1.06
27 1.8e-04 6.6e-02 1.1e-02 1.01e+00 1.663452960e+02 1.667647121e+02 9.2e-08 1.09
28 1.6e-04 6.0e-02 1.0e-02 1.01e+00 1.663750750e+02 1.667524600e+02 8.3e-08 1.13
29 1.4e-04 5.5e-02 9.0e-03 1.01e+00 1.664018154e+02 1.667413891e+02 7.5e-08 1.17
30 1.3e-04 5.0e-02 8.1e-03 1.01e+00 1.664258215e+02 1.667313788e+02 6.7e-08 1.20
31 1.2e-04 4.6e-02 7.3e-03 1.01e+00 1.664473756e+02 1.667223296e+02 6.0e-08 1.23
32 1.0e-04 4.2e-02 6.5e-03 1.00e+00 1.664667290e+02 1.667141493e+02 5.4e-08 1.27
33 9.4e-05 3.9e-02 5.9e-03 1.00e+00 1.664841075e+02 1.667067551e+02 4.9e-08 1.31
34 8.4e-05 3.6e-02 5.3e-03 1.00e+00 1.664997134e+02 1.667000717e+02 4.4e-08 1.34
35 7.6e-05 3.3e-02 4.8e-03 1.00e+00 1.665137281e+02 1.666940310e+02 4.0e-08 1.38
36 6.8e-05 3.0e-02 4.3e-03 1.00e+00 1.665263144e+02 1.666885714e+02 3.6e-08 1.42
37 6.1e-05 2.8e-02 3.9e-03 1.00e+00 1.665376184e+02 1.666836374e+02 3.2e-08 1.45
38 5.5e-05 2.6e-02 3.5e-03 1.00e+00 1.665477712e+02 1.666791785e+02 2.9e-08 1.49
39 5.0e-05 2.4e-02 3.1e-03 1.00e+00 1.665568904e+02 1.666751493e+02 2.6e-08 1.53
40 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.665650817e+02 1.666715087e+02 2.3e-08 1.57
41 4.0e-05 2.1e-02 2.5e-03 1.00e+00 1.665724398e+02 1.666682194e+02 2.1e-08 1.60
42 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.665790499e+02 1.666652479e+02 1.9e-08 1.64
43 3.3e-05 1.9e-02 2.1e-03 1.00e+00 1.665849883e+02 1.666625637e+02 1.7e-08 1.67
44 2.9e-05 1.8e-02 1.9e-03 1.00e+00 1.665903236e+02 1.666601393e+02 1.5e-08 1.71
45 2.6e-05 1.7e-02 1.7e-03 1.00e+00 1.665951173e+02 1.666579498e+02 1.4e-08 1.74
46 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.665994246e+02 1.666559727e+02 1.2e-08 1.78
47 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.666032952e+02 1.666541875e+02 1.1e-08 1.81
48 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.666067735e+02 1.666525759e+02 1.0e-08 1.85
49 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.666098995e+02 1.666511212e+02 9.1e-09 1.88
50 1.6e-05 1.3e-02 9.8e-04 1.00e+00 1.666127090e+02 1.666498082e+02 8.2e-09 1.92
51 1.4e-05 1.3e-02 8.9e-04 1.00e+00 1.666152343e+02 1.666486234e+02 7.4e-09 1.95
52 1.3e-05 1.2e-02 8.0e-04 1.00e+00 1.666175042e+02 1.666475543e+02 6.6e-09 1.99
53 1.1e-05 1.2e-02 7.2e-04 1.00e+00 1.666195447e+02 1.666465897e+02 6.0e-09 2.02
54 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.666213791e+02 1.666457195e+02 5.4e-09 2.06
55 9.2e-06 1.1e-02 5.8e-04 1.00e+00 1.666230282e+02 1.666449346e+02 4.8e-09 2.09
56 8.3e-06 1.1e-02 5.2e-04 1.00e+00 1.666245109e+02 1.666442267e+02 4.3e-09 2.13
57 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.666258440e+02 1.666435883e+02 3.9e-09 2.16
58 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.666270427e+02 1.666430126e+02 3.5e-09 2.20
59 6.0e-06 1.0e-02 3.8e-04 1.00e+00 1.666281205e+02 1.666424935e+02 3.2e-09 2.23
60 5.4e-06 9.9e-03 3.4e-04 1.00e+00 1.666290896e+02 1.666420254e+02 2.9e-09 2.26
61 4.9e-06 9.7e-03 3.1e-04 1.00e+00 1.666299612e+02 1.666416034e+02 2.6e-09 2.29
62 4.4e-06 9.5e-03 2.8e-04 1.00e+00 1.666307448e+02 1.666412230e+02 2.3e-09 2.33
63 4.0e-06 9.4e-03 2.5e-04 1.00e+00 1.666314495e+02 1.666408799e+02 2.1e-09 2.36
64 3.6e-06 9.3e-03 2.3e-04 1.00e+00 1.666320832e+02 1.666405706e+02 1.9e-09 2.40
65 3.2e-06 9.2e-03 2.0e-04 1.00e+00 1.666326530e+02 1.666402917e+02 1.7e-09 2.43
66 2.9e-06 9.1e-03 1.8e-04 1.00e+00 1.666331654e+02 1.666400403e+02 1.5e-09 2.47
67 2.6e-06 9.0e-03 1.6e-04 1.00e+00 1.666336261e+02 1.666398136e+02 1.4e-09 2.50
68 2.3e-06 8.9e-03 1.5e-04 1.00e+00 1.666340405e+02 1.666396092e+02 1.2e-09 2.53
69 2.1e-06 8.8e-03 1.3e-04 1.00e+00 1.666344132e+02 1.666394251e+02 1.1e-09 2.57
70 1.9e-06 8.7e-03 1.2e-04 1.00e+00 1.666347485e+02 1.666392592e+02 1.0e-09 2.60
71 1.7e-06 8.6e-03 1.1e-04 1.00e+00 1.666350500e+02 1.666391097e+02 9.0e-10 2.64
72 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.666353212e+02 1.666389749e+02 8.1e-10 2.67
73 1.4e-06 8.5e-03 8.7e-05 1.00e+00 1.666355651e+02 1.666388535e+02 7.3e-10 2.71
74 1.2e-06 8.5e-03 7.9e-05 1.00e+00 1.666357846e+02 1.666387441e+02 6.5e-10 2.74
75 1.1e-06 8.4e-03 7.1e-05 1.00e+00 1.666359819e+02 1.666386455e+02 5.9e-10 2.78
76 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.666361594e+02 1.666385567e+02 5.3e-10 2.81
77 9.1e-07 8.3e-03 5.7e-05 1.00e+00 1.666363190e+02 1.666384766e+02 4.8e-10 2.84
78 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.666364626e+02 1.666384045e+02 4.3e-10 2.88
79 7.3e-07 8.3e-03 4.6e-05 1.00e+00 1.666365917e+02 1.666383394e+02 3.9e-10 2.91
80 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.666367079e+02 1.666382808e+02 3.5e-10 2.95
81 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.666368123e+02 1.666382279e+02 3.1e-10 2.99
82 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.666369062e+02 1.666381802e+02 2.8e-10 3.02
83 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.666369906e+02 1.666381373e+02 2.5e-10 3.06
84 4.3e-07 8.1e-03 2.7e-05 1.00e+00 1.666370665e+02 1.666380985e+02 2.3e-10 3.10
85 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.666371348e+02 1.666380636e+02 2.0e-10 3.13
86 3.5e-07 8.1e-03 2.2e-05 1.00e+00 1.666371962e+02 1.666380321e+02 1.8e-10 3.17
87 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.666372514e+02 1.666380037e+02 1.7e-10 3.21
88 2.8e-07 8.0e-03 1.8e-05 1.00e+00 1.666373011e+02 1.666379782e+02 1.5e-10 3.24
89 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.666373457e+02 1.666379551e+02 1.3e-10 3.28
90 2.3e-07 8.0e-03 1.5e-05 1.00e+00 1.666373859e+02 1.666379344e+02 1.2e-10 3.30
91 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.666374221e+02 1.666379157e+02 1.1e-10 3.33
92 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.666374546e+02 1.666378988e+02 9.8e-11 3.36
93 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.666374839e+02 1.666378837e+02 8.8e-11 3.39
94 1.5e-07 7.9e-03 9.6e-06 1.00e+00 1.666375102e+02 1.666378700e+02 7.9e-11 3.43
95 1.4e-07 7.9e-03 8.6e-06 1.00e+00 1.666375339e+02 1.666378577e+02 7.1e-11 3.46
96 1.2e-07 7.8e-03 7.7e-06 1.00e+00 1.666375552e+02 1.666378466e+02 6.4e-11 3.50
97 1.1e-07 7.8e-03 7.0e-06 1.00e+00 1.666375744e+02 1.666378366e+02 5.8e-11 3.53
98 9.9e-08 7.8e-03 6.3e-06 9.99e-01 1.666375917e+02 1.666378277e+02 5.2e-11 3.56
99 8.9e-08 7.0e-03 5.6e-06 1.01e+00 1.666376074e+02 1.666378194e+02 4.7e-11 3.60
100 8.0e-08 6.3e-03 5.1e-06 1.00e+00 1.666376214e+02 1.666378122e+02 4.2e-11 3.63
101 7.2e-08 5.7e-03 4.6e-06 1.00e+00 1.666376340e+02 1.666378056e+02 3.8e-11 3.67
102 6.5e-08 5.1e-03 4.1e-06 1.00e+00 1.666376453e+02 1.666377997e+02 3.4e-11 3.70
103 5.9e-08 4.6e-03 3.7e-06 1.00e+00 1.666376555e+02 1.666377945e+02 3.1e-11 3.74
104 5.3e-08 4.2e-03 3.3e-06 1.00e+00 1.666376646e+02 1.666377897e+02 2.8e-11 3.77
105 4.7e-08 3.7e-03 3.0e-06 9.91e-01 1.666376728e+02 1.666377855e+02 2.5e-11 3.80
106 4.3e-08 3.4e-03 2.7e-06 1.01e+00 1.666376806e+02 1.666377814e+02 2.3e-11 3.84
107 3.8e-08 3.0e-03 2.4e-06 1.00e+00 1.666376873e+02 1.666377779e+02 2.0e-11 3.87
108 3.5e-08 2.7e-03 2.2e-06 1.00e+00 1.666376933e+02 1.666377747e+02 1.8e-11 3.91
109 3.1e-08 2.5e-03 2.0e-06 9.97e-01 1.666376987e+02 1.666377720e+02 1.7e-11 3.94
110 2.8e-08 2.2e-03 1.8e-06 1.01e+00 1.666377037e+02 1.666377693e+02 1.5e-11 3.98
111 2.5e-08 2.0e-03 1.6e-06 1.00e+00 1.666377081e+02 1.666377671e+02 1.3e-11 4.01
112 2.3e-08 1.8e-03 1.4e-06 1.02e+00 1.666377122e+02 1.666377649e+02 1.2e-11 4.04
113 2.0e-08 1.6e-03 1.3e-06 9.89e-01 1.666377157e+02 1.666377631e+02 1.1e-11 4.07
114 1.8e-08 1.4e-03 1.2e-06 1.01e+00 1.666377189e+02 1.666377614e+02 9.9e-12 4.11
115 1.7e-08 1.3e-03 1.0e-06 9.87e-01 1.666377217e+02 1.666377600e+02 8.9e-12 4.14
116 1.5e-08 1.2e-03 9.4e-07 1.03e+00 1.666377246e+02 1.666377585e+02 8.1e-12 4.18
117 1.3e-08 1.1e-03 8.5e-07 9.88e-01 1.666377268e+02 1.666377573e+02 7.3e-12 4.21
118 1.2e-08 9.5e-04 7.6e-07 9.86e-01 1.666377288e+02 1.666377563e+02 6.6e-12 4.24
119 1.1e-08 8.5e-04 6.9e-07 1.04e+00 1.666377309e+02 1.666377552e+02 6.0e-12 4.28
120 9.8e-09 7.7e-04 6.2e-07 9.87e-01 1.666377325e+02 1.666377543e+02 5.4e-12 4.32
121 8.8e-09 6.9e-04 5.6e-07 9.72e-01 1.666377340e+02 1.666377536e+02 4.9e-12 4.36
122 7.9e-09 6.2e-04 5.0e-07 1.00e+00 1.666377353e+02 1.666377529e+02 4.4e-12 4.39
123 7.2e-09 5.6e-04 4.5e-07 9.74e-01 1.666377364e+02 1.666377524e+02 4.0e-12 4.42
124 6.4e-09 5.0e-04 4.1e-07 1.04e+00 1.666377376e+02 1.666377517e+02 3.6e-12 4.45
125 5.8e-09 4.5e-04 3.6e-07 1.04e+00 1.666377387e+02 1.666377511e+02 3.3e-12 4.49
126 5.3e-09 4.1e-04 3.3e-07 1.10e+00 1.666377399e+02 1.666377505e+02 3.1e-12 4.53
127 4.8e-09 3.7e-04 3.0e-07 1.14e+00 1.666377411e+02 1.666377498e+02 3.0e-12 4.56
128 4.3e-09 3.3e-04 2.7e-07 1.00e+00 1.666377416e+02 1.666377495e+02 2.7e-12 4.59
129 3.1e-09 3.8e-05 3.1e-08 1.03e+00 1.666377463e+02 1.666377472e+02 2.9e-13 4.63
Interior-point optimizer terminated. Time: 4.63.
Optimizer terminated. Time: 4.65
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774628e+02 Viol. con: 6e-08 var: 0e+00
Dual. obj: 1.6663774717e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.67 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 : 0.03
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 -1.281947620e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260529457e+05 3.567038567e+00 4.8e-01 0.12
2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.199178173e+05 1.011823305e+01 1.9e-01 0.16
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.152760528e+05 6.284872860e+01 1.3e-01 0.19
4 2.9e+02 3.7e+02 1.6e+04 -7.60e-01 -1.125798309e+05 2.338618790e+03 1.3e-01 0.23
5 7.3e+01 9.3e+01 4.0e+03 -7.53e-01 -7.321573860e+04 1.002872260e+04 3.2e-02 0.26
6 3.6e+01 4.5e+01 2.0e+03 -1.76e-01 -4.601687784e+04 1.018883955e+04 1.6e-02 0.30
7 2.1e+01 2.6e+01 1.1e+03 2.94e-01 -3.047975195e+04 6.899541899e+03 9.1e-03 0.33
8 1.2e+01 1.5e+01 6.7e+02 5.72e-01 -1.903297929e+04 4.475394090e+03 5.3e-03 0.37
9 4.6e+00 5.9e+00 2.6e+02 7.59e-01 -7.495606998e+03 2.146498188e+03 2.0e-03 0.41
10 2.2e+00 2.8e+00 1.2e+02 9.29e-01 -3.353619882e+03 1.377845702e+03 9.8e-04 0.44
11 1.5e+00 1.9e+00 8.2e+01 9.79e-01 -2.210966278e+03 9.609837274e+02 6.6e-04 0.47
12 8.6e-01 1.1e+00 4.8e+01 9.85e-01 -1.225034112e+03 6.312886890e+02 3.8e-04 0.51
13 7.4e-01 9.9e-01 4.1e+01 9.55e-01 -1.062780683e+03 5.628117437e+02 3.3e-04 0.54
14 5.5e-01 7.4e-01 3.1e+01 9.88e-01 -7.429143546e+02 4.752669640e+02 2.5e-04 0.58
15 1.7e-01 2.5e-01 9.5e+00 9.91e-01 -1.280749873e+02 2.450097675e+02 7.7e-05 0.61
16 9.6e-02 1.6e-01 5.5e+00 1.01e+00 -7.995980342e+00 2.069290066e+02 4.5e-05 0.65
17 9.5e-02 1.5e-01 5.5e+00 1.02e+00 -6.436428893e+00 2.070556323e+02 4.4e-05 0.68
18 8.6e-02 1.4e-01 4.9e+00 1.02e+00 1.598114854e+01 2.078544552e+02 4.0e-05 0.72
19 4.9e-02 8.5e-02 2.8e+00 1.02e+00 8.164148174e+01 1.897430647e+02 2.3e-05 0.75
20 1.7e-02 8.6e-02 9.9e-01 1.02e+00 1.374441854e+02 1.752958005e+02 8.0e-06 0.79
21 4.6e-03 2.2e-01 2.7e-01 1.01e+00 1.589785158e+02 1.693717964e+02 2.2e-06 0.82
22 3.2e-03 2.5e-01 1.9e-01 1.00e+00 1.612451966e+02 1.684218612e+02 1.5e-06 0.86
23 1.2e-03 1.4e-01 7.1e-02 1.00e+00 1.645949483e+02 1.672907106e+02 5.7e-07 0.89
24 9.0e-04 1.1e-01 5.4e-02 9.93e-01 1.650503657e+02 1.671104670e+02 4.4e-07 0.93
25 3.7e-04 8.4e-02 2.3e-02 9.83e-01 1.659093320e+02 1.667859869e+02 1.9e-07 0.96
26 2.0e-04 6.9e-02 1.3e-02 1.01e+00 1.661934489e+02 1.666724349e+02 1.0e-07 1.00
27 1.5e-04 6.4e-02 9.6e-03 1.01e+00 1.662782805e+02 1.666425441e+02 7.9e-08 1.03
28 1.4e-04 5.9e-02 8.6e-03 1.01e+00 1.663052031e+02 1.666328586e+02 7.1e-08 1.07
29 1.3e-04 5.3e-02 7.8e-03 1.01e+00 1.663279845e+02 1.666228067e+02 6.4e-08 1.11
30 1.1e-04 4.9e-02 7.0e-03 1.01e+00 1.663486747e+02 1.666139650e+02 5.8e-08 1.14
31 1.0e-04 4.5e-02 6.3e-03 1.01e+00 1.663672025e+02 1.666059233e+02 5.2e-08 1.18
32 9.1e-05 4.1e-02 5.7e-03 1.01e+00 1.663838355e+02 1.665986515e+02 4.7e-08 1.21
33 8.2e-05 3.7e-02 5.1e-03 1.00e+00 1.663987610e+02 1.665920691e+02 4.2e-08 1.25
34 7.4e-05 3.4e-02 4.6e-03 1.00e+00 1.664121571e+02 1.665861133e+02 3.8e-08 1.29
35 6.7e-05 3.2e-02 4.1e-03 1.00e+00 1.664241814e+02 1.665807253e+02 3.4e-08 1.32
36 6.0e-05 2.9e-02 3.7e-03 1.00e+00 1.664349759e+02 1.665758522e+02 3.1e-08 1.36
37 5.4e-05 2.7e-02 3.3e-03 1.00e+00 1.664446673e+02 1.665714456e+02 2.8e-08 1.39
38 4.9e-05 2.5e-02 3.0e-03 1.00e+00 1.664533694e+02 1.665674617e+02 2.5e-08 1.43
39 4.4e-05 2.3e-02 2.7e-03 1.00e+00 1.664611839e+02 1.665638607e+02 2.2e-08 1.46
40 3.9e-05 2.2e-02 2.4e-03 1.00e+00 1.664682021e+02 1.665606063e+02 2.0e-08 1.50
41 3.5e-05 2.0e-02 2.2e-03 1.00e+00 1.664745058e+02 1.665576658e+02 1.8e-08 1.53
42 3.2e-05 1.9e-02 2.0e-03 1.00e+00 1.664801682e+02 1.665550094e+02 1.6e-08 1.57
43 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.664852550e+02 1.665526101e+02 1.5e-08 1.60
44 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.664898253e+02 1.665504433e+02 1.3e-08 1.64
45 2.3e-05 1.6e-02 1.4e-03 1.00e+00 1.664939318e+02 1.665484869e+02 1.2e-08 1.67
46 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664976220e+02 1.665467208e+02 1.1e-08 1.71
47 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.665009384e+02 1.665451268e+02 9.6e-09 1.74
48 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.665039192e+02 1.665436884e+02 8.7e-09 1.78
49 1.5e-05 1.3e-02 9.5e-04 1.00e+00 1.665065987e+02 1.665423907e+02 7.8e-09 1.82
50 1.4e-05 1.3e-02 8.5e-04 1.00e+00 1.665090074e+02 1.665412202e+02 7.0e-09 1.85
51 1.2e-05 1.2e-02 7.7e-04 1.00e+00 1.665111731e+02 1.665401647e+02 6.3e-09 1.89
52 1.1e-05 1.2e-02 6.9e-04 1.00e+00 1.665131205e+02 1.665392130e+02 5.7e-09 1.92
53 1.0e-05 1.1e-02 6.2e-04 1.00e+00 1.665148717e+02 1.665383550e+02 5.1e-09 1.96
54 9.0e-06 1.1e-02 5.6e-04 1.00e+00 1.665164465e+02 1.665375817e+02 4.6e-09 1.99
55 8.1e-06 1.1e-02 5.0e-04 1.00e+00 1.665178630e+02 1.665368848e+02 4.1e-09 2.03
56 7.3e-06 1.0e-02 4.5e-04 1.00e+00 1.665191371e+02 1.665362568e+02 3.7e-09 2.06
57 6.6e-06 1.0e-02 4.1e-04 1.00e+00 1.665202831e+02 1.665356910e+02 3.4e-09 2.10
58 5.9e-06 1.0e-02 3.7e-04 1.00e+00 1.665213139e+02 1.665351812e+02 3.0e-09 2.13
59 5.3e-06 9.8e-03 3.3e-04 1.00e+00 1.665222412e+02 1.665347219e+02 2.7e-09 2.17
60 4.8e-06 9.6e-03 3.0e-04 1.00e+00 1.665230754e+02 1.665343081e+02 2.5e-09 2.20
61 4.3e-06 9.5e-03 2.7e-04 1.00e+00 1.665238257e+02 1.665339353e+02 2.2e-09 2.24
62 3.9e-06 9.3e-03 2.4e-04 1.00e+00 1.665245006e+02 1.665335994e+02 2.0e-09 2.27
63 3.5e-06 9.2e-03 2.2e-04 1.00e+00 1.665251077e+02 1.665332966e+02 1.8e-09 2.31
64 3.1e-06 9.1e-03 1.9e-04 1.00e+00 1.665256537e+02 1.665330239e+02 1.6e-09 2.34
65 2.8e-06 9.0e-03 1.8e-04 1.00e+00 1.665261449e+02 1.665327781e+02 1.4e-09 2.38
66 2.5e-06 8.9e-03 1.6e-04 1.00e+00 1.665265866e+02 1.665325566e+02 1.3e-09 2.41
67 2.3e-06 8.8e-03 1.4e-04 1.00e+00 1.665269840e+02 1.665323570e+02 1.2e-09 2.45
68 2.1e-06 8.7e-03 1.3e-04 1.00e+00 1.665273415e+02 1.665321773e+02 1.1e-09 2.48
69 1.9e-06 8.6e-03 1.2e-04 1.00e+00 1.665276631e+02 1.665320154e+02 9.5e-10 2.52
70 1.7e-06 8.6e-03 1.0e-04 1.00e+00 1.665279524e+02 1.665318695e+02 8.6e-10 2.56
71 1.5e-06 8.5e-03 9.3e-05 1.00e+00 1.665282127e+02 1.665317382e+02 7.7e-10 2.60
72 1.3e-06 8.5e-03 8.4e-05 1.00e+00 1.665284469e+02 1.665316198e+02 6.9e-10 2.63
73 1.2e-06 8.4e-03 7.6e-05 1.00e+00 1.665286575e+02 1.665315132e+02 6.2e-10 2.67
74 1.1e-06 8.4e-03 6.8e-05 1.00e+00 1.665288470e+02 1.665314171e+02 5.6e-10 2.71
75 9.8e-07 8.3e-03 6.1e-05 1.00e+00 1.665290175e+02 1.665313306e+02 5.1e-10 2.75
76 8.9e-07 8.3e-03 5.5e-05 1.00e+00 1.665291708e+02 1.665312526e+02 4.5e-10 2.78
77 8.0e-07 8.3e-03 5.0e-05 1.00e+00 1.665293087e+02 1.665311824e+02 4.1e-10 2.82
78 7.2e-07 8.2e-03 4.5e-05 1.00e+00 1.665294327e+02 1.665311191e+02 3.7e-10 2.85
79 6.5e-07 8.2e-03 4.0e-05 1.00e+00 1.665295443e+02 1.665310621e+02 3.3e-10 2.89
80 5.8e-07 8.2e-03 3.6e-05 1.00e+00 1.665296446e+02 1.665310106e+02 3.0e-10 2.92
81 5.2e-07 8.1e-03 3.3e-05 1.00e+00 1.665297349e+02 1.665309643e+02 2.7e-10 2.96
82 4.7e-07 8.1e-03 2.9e-05 1.00e+00 1.665298160e+02 1.665309225e+02 2.4e-10 3.00
83 4.2e-07 8.1e-03 2.6e-05 1.00e+00 1.665298889e+02 1.665308848e+02 2.2e-10 3.03
84 3.8e-07 8.1e-03 2.4e-05 1.00e+00 1.665299546e+02 1.665308508e+02 2.0e-10 3.06
85 3.4e-07 8.0e-03 2.1e-05 1.00e+00 1.665300136e+02 1.665308202e+02 1.8e-10 3.09
86 3.1e-07 8.0e-03 1.9e-05 1.00e+00 1.665300666e+02 1.665307926e+02 1.6e-10 3.12
87 2.8e-07 8.0e-03 1.7e-05 1.00e+00 1.665301144e+02 1.665307677e+02 1.4e-10 3.16
88 2.5e-07 8.0e-03 1.6e-05 1.00e+00 1.665301573e+02 1.665307453e+02 1.3e-10 3.19
89 2.3e-07 8.0e-03 1.4e-05 1.00e+00 1.665301959e+02 1.665307251e+02 1.2e-10 3.23
90 2.0e-07 7.9e-03 1.3e-05 1.00e+00 1.665302307e+02 1.665307069e+02 1.0e-10 3.26
91 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.665302619e+02 1.665306906e+02 9.4e-11 3.30
92 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.665302901e+02 1.665306758e+02 8.4e-11 3.34
93 1.5e-07 7.9e-03 9.2e-06 1.00e+00 1.665303154e+02 1.665306625e+02 7.6e-11 3.37
94 1.3e-07 7.9e-03 8.3e-06 9.97e-01 1.665303381e+02 1.665306506e+02 6.8e-11 3.40
95 1.2e-07 7.1e-03 7.4e-06 1.00e+00 1.665303587e+02 1.665306398e+02 6.1e-11 3.44
96 1.1e-07 6.4e-03 6.7e-06 1.00e+00 1.665303772e+02 1.665306300e+02 5.5e-11 3.47
97 9.7e-08 5.7e-03 6.0e-06 1.00e+00 1.665303937e+02 1.665306213e+02 5.0e-11 3.50
98 8.7e-08 5.2e-03 5.4e-06 1.00e+00 1.665304087e+02 1.665306134e+02 4.5e-11 3.54
99 7.8e-08 4.6e-03 4.9e-06 1.00e+00 1.665304221e+02 1.665306064e+02 4.0e-11 3.58
100 7.1e-08 4.2e-03 4.4e-06 1.01e+00 1.665304344e+02 1.665305999e+02 3.6e-11 3.61
101 6.4e-08 3.8e-03 4.0e-06 1.00e+00 1.665304452e+02 1.665305941e+02 3.3e-11 3.65
102 5.7e-08 3.4e-03 3.6e-06 9.95e-01 1.665304550e+02 1.665305890e+02 2.9e-11 3.68
103 5.1e-08 3.0e-03 3.2e-06 9.98e-01 1.665304638e+02 1.665305844e+02 2.7e-11 3.72
104 4.6e-08 2.7e-03 2.9e-06 1.00e+00 1.665304717e+02 1.665305803e+02 2.4e-11 3.75
105 4.2e-08 2.5e-03 2.6e-06 9.93e-01 1.665304788e+02 1.665305765e+02 2.1e-11 3.79
106 3.8e-08 2.2e-03 2.3e-06 1.01e+00 1.665304854e+02 1.665305730e+02 1.9e-11 3.82
107 3.4e-08 2.0e-03 2.1e-06 9.95e-01 1.665304911e+02 1.665305700e+02 1.7e-11 3.86
108 3.0e-08 1.8e-03 1.9e-06 1.01e+00 1.665304965e+02 1.665305671e+02 1.6e-11 3.89
109 2.7e-08 1.6e-03 1.7e-06 1.01e+00 1.665305012e+02 1.665305646e+02 1.4e-11 3.93
110 2.5e-08 1.5e-03 1.5e-06 1.01e+00 1.665305056e+02 1.665305623e+02 1.3e-11 3.96
111 2.2e-08 1.3e-03 1.4e-06 9.91e-01 1.665305093e+02 1.665305604e+02 1.2e-11 4.00
112 2.0e-08 1.2e-03 1.2e-06 1.02e+00 1.665305130e+02 1.665305584e+02 1.1e-11 4.04
113 1.8e-08 1.1e-03 1.1e-06 1.00e+00 1.665305160e+02 1.665305568e+02 9.5e-12 4.07
114 1.6e-08 9.5e-04 1.0e-06 1.00e+00 1.665305187e+02 1.665305554e+02 8.6e-12 4.11
115 1.5e-08 8.6e-04 9.0e-07 1.04e+00 1.665305215e+02 1.665305539e+02 7.8e-12 4.15
116 1.3e-08 7.7e-04 8.1e-07 9.94e-01 1.665305236e+02 1.665305528e+02 7.0e-12 4.19
117 1.2e-08 7.0e-04 7.3e-07 9.80e-01 1.665305255e+02 1.665305518e+02 6.3e-12 4.22
118 1.1e-08 6.3e-04 6.6e-07 1.00e+00 1.665305272e+02 1.665305509e+02 5.7e-12 4.26
119 9.6e-09 5.6e-04 5.9e-07 1.06e+00 1.665305292e+02 1.665305498e+02 5.3e-12 4.30
120 8.6e-09 5.1e-04 5.3e-07 9.73e-01 1.665305306e+02 1.665305491e+02 4.8e-12 4.33
121 7.8e-09 4.6e-04 4.8e-07 9.68e-01 1.665305318e+02 1.665305485e+02 4.3e-12 4.37
122 7.0e-09 4.1e-04 4.3e-07 9.56e-01 1.665305329e+02 1.665305480e+02 3.9e-12 4.41
123 6.3e-09 3.7e-04 3.9e-07 1.04e+00 1.665305341e+02 1.665305473e+02 3.6e-12 4.45
124 5.7e-09 3.3e-04 3.5e-07 1.05e+00 1.665305351e+02 1.665305467e+02 3.3e-12 4.48
125 5.1e-09 3.0e-04 3.2e-07 9.36e-01 1.665305359e+02 1.665305464e+02 2.9e-12 4.52
126 4.8e-09 2.7e-04 2.8e-07 1.12e+00 1.665305370e+02 1.665305457e+02 2.8e-12 4.55
127 4.4e-09 2.4e-04 2.6e-07 1.01e+00 1.665305376e+02 1.665305454e+02 2.5e-12 4.58
128 4.0e-09 2.2e-04 2.3e-07 1.09e+00 1.665305383e+02 1.665305450e+02 2.4e-12 4.62
129 1.6e-09 1.3e-05 1.3e-08 9.00e-01 1.665305426e+02 1.665305430e+02 2.4e-13 4.65
Interior-point optimizer terminated. Time: 4.65.
Optimizer terminated. Time: 4.68
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054262e+02 Viol. con: 4e-08 var: 0e+00
Dual. obj: 1.6653054303e+02 Viol. con: 0e+00 var: 7e-05
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.7 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: 0.02
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 -1.281910003e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260388208e+05 3.562416721e+00 4.8e-01 0.12
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.198568660e+05 1.018649580e+01 1.9e-01 0.16
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.151988235e+05 6.373051454e+01 1.2e-01 0.20
4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125292468e+05 2.317564633e+03 1.2e-01 0.24
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.413283410e+04 9.821154617e+03 3.3e-02 0.27
6 3.3e+01 4.2e+01 1.8e+03 -1.90e-01 -4.310925583e+04 1.040983220e+04 1.4e-02 0.31
7 1.9e+01 2.4e+01 1.1e+03 3.45e-01 -2.829947194e+04 6.951569673e+03 8.4e-03 0.35
8 1.1e+01 1.4e+01 6.2e+02 6.09e-01 -1.786044831e+04 4.385661645e+03 5.0e-03 0.39
9 4.5e+00 5.7e+00 2.5e+02 7.77e-01 -7.289196561e+03 2.109110128e+03 2.0e-03 0.43
10 2.1e+00 2.6e+00 1.1e+02 9.30e-01 -3.104840142e+03 1.310266059e+03 9.1e-04 0.47
11 1.3e+00 1.6e+00 7.1e+01 9.82e-01 -1.894509250e+03 8.669906417e+02 5.7e-04 0.50
12 8.0e-01 1.0e+00 4.5e+01 9.84e-01 -1.138783791e+03 6.058261326e+02 3.6e-04 0.54
13 5.8e-01 7.8e-01 3.3e+01 9.59e-01 -8.086291582e+02 4.782541267e+02 2.6e-04 0.58
14 4.0e-01 5.3e-01 2.2e+01 9.98e-01 -4.785873373e+02 3.978252586e+02 1.8e-04 0.61
15 1.7e-01 2.4e-01 9.9e+00 9.93e-01 -1.310594954e+02 2.549869239e+02 7.9e-05 0.64
16 8.7e-02 1.4e-01 5.0e+00 1.01e+00 1.035287417e+01 2.048629678e+02 4.0e-05 0.67
17 7.7e-02 1.2e-01 4.4e+00 1.02e+00 3.259502566e+01 2.038116283e+02 3.6e-05 0.71
18 3.1e-02 7.3e-02 1.8e+00 1.02e+00 1.136071900e+02 1.813662738e+02 1.4e-05 0.74
19 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.524150187e+02 1.713317156e+02 4.0e-06 0.78
20 2.5e-03 1.5e-01 1.5e-01 1.00e+00 1.621494041e+02 1.679102637e+02 1.2e-06 0.81
21 1.5e-03 1.1e-01 9.0e-02 1.00e+00 1.639366222e+02 1.673929035e+02 7.3e-07 0.84
22 4.7e-04 1.1e-01 2.9e-02 1.01e+00 1.656859196e+02 1.667891523e+02 2.4e-07 0.87
23 1.5e-04 1.1e-01 9.6e-03 1.01e+00 1.662183046e+02 1.665842735e+02 8.1e-08 0.91
24 1.4e-04 1.0e-01 8.7e-03 1.01e+00 1.662462772e+02 1.665754966e+02 7.3e-08 0.94
25 6.3e-05 8.6e-02 4.0e-03 1.01e+00 1.663693195e+02 1.665220910e+02 3.4e-08 0.98
26 5.7e-05 7.8e-02 3.6e-03 1.01e+00 1.663810853e+02 1.665186093e+02 3.1e-08 1.01
27 5.1e-05 7.1e-02 3.3e-03 1.01e+00 1.663905863e+02 1.665143096e+02 2.8e-08 1.05
28 4.6e-05 6.4e-02 2.9e-03 1.01e+00 1.663992466e+02 1.665105675e+02 2.5e-08 1.08
29 4.1e-05 5.9e-02 2.7e-03 1.01e+00 1.664069998e+02 1.665071621e+02 2.2e-08 1.12
30 3.7e-05 5.4e-02 2.4e-03 1.01e+00 1.664139636e+02 1.665040882e+02 2.0e-08 1.15
31 3.3e-05 4.9e-02 2.1e-03 1.01e+00 1.664202155e+02 1.665013101e+02 1.8e-08 1.19
32 3.0e-05 4.5e-02 1.9e-03 1.01e+00 1.664258297e+02 1.664988005e+02 1.6e-08 1.22
33 2.7e-05 4.1e-02 1.7e-03 1.01e+00 1.664308718e+02 1.664965338e+02 1.5e-08 1.27
34 2.4e-05 3.8e-02 1.6e-03 1.00e+00 1.664354005e+02 1.664944868e+02 1.3e-08 1.30
35 2.2e-05 3.5e-02 1.4e-03 1.00e+00 1.664394687e+02 1.664926386e+02 1.2e-08 1.34
36 2.0e-05 3.2e-02 1.3e-03 1.00e+00 1.664431236e+02 1.664909702e+02 1.1e-08 1.37
37 1.8e-05 3.0e-02 1.1e-03 1.00e+00 1.664464075e+02 1.664894644e+02 9.6e-09 1.41
38 1.6e-05 2.8e-02 1.0e-03 1.00e+00 1.664493584e+02 1.664881055e+02 8.7e-09 1.44
39 1.4e-05 2.6e-02 9.2e-04 1.00e+00 1.664520103e+02 1.664868795e+02 7.8e-09 1.49
40 1.3e-05 2.4e-02 8.3e-04 1.00e+00 1.664543939e+02 1.664857735e+02 7.0e-09 1.52
41 1.2e-05 2.2e-02 7.5e-04 1.00e+00 1.664565365e+02 1.664847760e+02 6.3e-09 1.56
42 1.0e-05 2.1e-02 6.7e-04 1.00e+00 1.664584626e+02 1.664838765e+02 5.7e-09 1.59
43 9.4e-06 1.9e-02 6.1e-04 1.00e+00 1.664601942e+02 1.664830655e+02 5.1e-09 1.63
44 8.5e-06 1.8e-02 5.5e-04 1.00e+00 1.664617513e+02 1.664823343e+02 4.6e-09 1.67
45 7.7e-06 1.7e-02 4.9e-04 1.00e+00 1.664631514e+02 1.664816753e+02 4.1e-09 1.71
46 6.9e-06 1.6e-02 4.4e-04 1.00e+00 1.664644106e+02 1.664810814e+02 3.7e-09 1.75
47 6.2e-06 1.5e-02 4.0e-04 1.00e+00 1.664655430e+02 1.664805463e+02 3.4e-09 1.78
48 5.6e-06 1.5e-02 3.6e-04 1.00e+00 1.664665616e+02 1.664800641e+02 3.0e-09 1.82
49 5.0e-06 1.4e-02 3.2e-04 1.00e+00 1.664674778e+02 1.664796297e+02 2.7e-09 1.86
50 4.5e-06 1.3e-02 2.9e-04 1.00e+00 1.664683019e+02 1.664792385e+02 2.4e-09 1.89
51 4.1e-06 1.3e-02 2.6e-04 1.00e+00 1.664690433e+02 1.664788860e+02 2.2e-09 1.92
52 3.7e-06 1.2e-02 2.4e-04 1.00e+00 1.664697102e+02 1.664785685e+02 2.0e-09 1.95
53 3.3e-06 1.2e-02 2.1e-04 1.00e+00 1.664703101e+02 1.664782825e+02 1.8e-09 1.98
54 3.0e-06 1.1e-02 1.9e-04 1.00e+00 1.664708498e+02 1.664780249e+02 1.6e-09 2.01
55 2.7e-06 1.1e-02 1.7e-04 1.00e+00 1.664713353e+02 1.664777928e+02 1.4e-09 2.04
56 2.4e-06 1.1e-02 1.5e-04 1.00e+00 1.664717722e+02 1.664775839e+02 1.3e-09 2.07
57 2.2e-06 1.0e-02 1.4e-04 1.00e+00 1.664721652e+02 1.664773958e+02 1.2e-09 2.11
58 1.9e-06 1.0e-02 1.2e-04 1.00e+00 1.664725190e+02 1.664772264e+02 1.1e-09 2.14
59 1.8e-06 9.9e-03 1.1e-04 1.00e+00 1.664728373e+02 1.664770740e+02 9.5e-10 2.17
60 1.6e-06 9.6e-03 1.0e-04 1.00e+00 1.664731237e+02 1.664769367e+02 8.5e-10 2.20
61 1.4e-06 9.4e-03 9.1e-05 1.00e+00 1.664733815e+02 1.664768132e+02 7.7e-10 2.24
62 1.3e-06 9.3e-03 8.2e-05 1.00e+00 1.664736135e+02 1.664767020e+02 6.9e-10 2.27
63 1.1e-06 9.1e-03 7.4e-05 1.00e+00 1.664738223e+02 1.664766019e+02 6.2e-10 2.31
64 1.0e-06 9.0e-03 6.6e-05 1.00e+00 1.664740102e+02 1.664765118e+02 5.6e-10 2.35
65 9.3e-07 8.8e-03 6.0e-05 1.00e+00 1.664741792e+02 1.664764307e+02 5.0e-10 2.38
66 8.4e-07 8.7e-03 5.4e-05 1.00e+00 1.664743313e+02 1.664763578e+02 4.5e-10 2.42
67 7.5e-07 8.6e-03 4.8e-05 1.00e+00 1.664744682e+02 1.664762920e+02 4.1e-10 2.45
68 6.8e-07 8.5e-03 4.4e-05 1.00e+00 1.664745914e+02 1.664762328e+02 3.7e-10 2.49
69 6.1e-07 8.4e-03 3.9e-05 1.00e+00 1.664747022e+02 1.664761795e+02 3.3e-10 2.52
70 5.5e-07 8.3e-03 3.5e-05 1.00e+00 1.664748019e+02 1.664761314e+02 3.0e-10 2.55
71 4.9e-07 8.3e-03 3.2e-05 1.00e+00 1.664748916e+02 1.664760881e+02 2.7e-10 2.59
72 4.4e-07 8.2e-03 2.9e-05 1.00e+00 1.664749723e+02 1.664760492e+02 2.4e-10 2.62
73 4.0e-07 8.1e-03 2.6e-05 1.00e+00 1.664750449e+02 1.664760141e+02 2.2e-10 2.66
74 3.6e-07 8.1e-03 2.3e-05 1.00e+00 1.664751102e+02 1.664759824e+02 2.0e-10 2.69
75 3.2e-07 8.0e-03 2.1e-05 1.00e+00 1.664751689e+02 1.664759539e+02 1.8e-10 2.73
76 2.9e-07 8.0e-03 1.9e-05 9.99e-01 1.664752217e+02 1.664759283e+02 1.6e-10 2.76
77 2.6e-07 7.9e-03 1.7e-05 1.00e+00 1.664752692e+02 1.664759052e+02 1.4e-10 2.80
78 2.4e-07 7.9e-03 1.5e-05 9.99e-01 1.664753120e+02 1.664758844e+02 1.3e-10 2.83
79 2.1e-07 7.9e-03 1.4e-05 1.00e+00 1.664753505e+02 1.664758656e+02 1.2e-10 2.87
80 1.9e-07 7.8e-03 1.2e-05 1.00e+00 1.664753851e+02 1.664758487e+02 1.0e-10 2.90
81 1.7e-07 7.8e-03 1.1e-05 1.00e+00 1.664754162e+02 1.664758335e+02 9.4e-11 2.93
82 1.6e-07 7.8e-03 1.0e-05 1.00e+00 1.664754443e+02 1.664758197e+02 8.4e-11 2.98
83 1.4e-07 7.8e-03 9.0e-06 1.00e+00 1.664754695e+02 1.664758074e+02 7.6e-11 3.01
84 1.3e-07 7.7e-03 8.1e-06 1.00e+00 1.664754922e+02 1.664757963e+02 6.8e-11 3.05
85 1.1e-07 7.7e-03 7.3e-06 1.00e+00 1.664755127e+02 1.664757862e+02 6.1e-11 3.08
86 1.0e-07 7.7e-03 6.5e-06 1.00e+00 1.664755313e+02 1.664757771e+02 5.5e-11 3.12
87 9.2e-08 7.7e-03 5.9e-06 9.97e-01 1.664755478e+02 1.664757691e+02 5.0e-11 3.15
88 8.2e-08 7.7e-03 5.3e-06 1.00e+00 1.664755626e+02 1.664757618e+02 4.5e-11 3.19
89 7.4e-08 7.7e-03 4.8e-06 1.00e+00 1.664755760e+02 1.664757552e+02 4.0e-11 3.23
90 6.7e-08 7.6e-03 4.3e-06 9.99e-01 1.664755880e+02 1.664757494e+02 3.6e-11 3.26
91 6.0e-08 7.6e-03 3.9e-06 9.98e-01 1.664755989e+02 1.664757441e+02 3.3e-11 3.30
92 5.4e-08 7.6e-03 3.5e-06 1.00e+00 1.664756086e+02 1.664757393e+02 2.9e-11 3.33
93 4.9e-08 7.6e-03 3.1e-06 1.00e+00 1.664756174e+02 1.664757350e+02 2.6e-11 3.37
94 4.4e-08 6.8e-03 2.8e-06 1.01e+00 1.664756255e+02 1.664757310e+02 2.4e-11 3.40
95 3.9e-08 6.2e-03 2.5e-06 1.02e+00 1.664756331e+02 1.664757272e+02 2.2e-11 3.44
96 3.6e-08 5.5e-03 2.3e-06 1.01e+00 1.664756397e+02 1.664757240e+02 2.0e-11 3.48
97 3.2e-08 5.0e-03 2.1e-06 1.00e+00 1.664756454e+02 1.664757212e+02 1.8e-11 3.51
98 2.9e-08 4.5e-03 1.8e-06 9.90e-01 1.664756505e+02 1.664757187e+02 1.6e-11 3.55
99 2.6e-08 4.0e-03 1.7e-06 9.83e-01 1.664756551e+02 1.664757165e+02 1.4e-11 3.59
100 2.3e-08 3.6e-03 1.5e-06 9.82e-01 1.664756592e+02 1.664757145e+02 1.3e-11 3.62
101 2.1e-08 3.3e-03 1.3e-06 1.01e+00 1.664756631e+02 1.664757126e+02 1.2e-11 3.66
102 1.9e-08 2.9e-03 1.2e-06 1.01e+00 1.664756665e+02 1.664757109e+02 1.1e-11 3.70
103 1.7e-08 2.6e-03 1.1e-06 9.98e-01 1.664756695e+02 1.664757094e+02 9.5e-12 3.73
104 1.5e-08 2.4e-03 9.8e-07 1.02e+00 1.664756724e+02 1.664757080e+02 8.6e-12 3.76
105 1.4e-08 2.1e-03 8.8e-07 1.00e+00 1.664756748e+02 1.664757068e+02 7.7e-12 3.80
106 1.2e-08 1.9e-03 8.0e-07 1.01e+00 1.664756770e+02 1.664757058e+02 7.0e-12 3.83
107 1.1e-08 1.7e-03 7.2e-07 9.74e-01 1.664756789e+02 1.664757050e+02 6.3e-12 3.87
108 1.0e-08 1.6e-03 6.4e-07 1.02e+00 1.664756808e+02 1.664757040e+02 5.7e-12 3.90
109 9.5e-09 1.4e-03 5.8e-07 9.77e-01 1.664756823e+02 1.664757033e+02 5.1e-12 3.94
110 1.9e-09 1.6e-04 6.6e-08 1.02e+00 1.664756947e+02 1.664756970e+02 5.4e-13 3.98
Interior-point optimizer terminated. Time: 3.98.
Optimizer terminated. Time: 4.01
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569468e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.6647569702e+02 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.03 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 : 0.04 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 -1.281197859e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259650265e+05 3.561094538e+00 4.8e-01 0.11
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197557108e+05 1.021857905e+01 1.8e-01 0.15
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150858274e+05 6.418503667e+01 1.2e-01 0.19
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124325657e+05 2.305442594e+03 1.2e-01 0.23
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.428087693e+04 9.756337797e+03 3.3e-02 0.26
6 3.0e+01 3.9e+01 1.7e+03 -1.93e-01 -4.041126030e+04 1.037590357e+04 1.3e-02 0.30
7 1.8e+01 2.3e+01 1.0e+03 3.93e-01 -2.698432285e+04 6.759289802e+03 8.0e-03 0.34
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.557999291e+04 3.925124936e+03 4.3e-03 0.37
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.376390736e+03 1.908084061e+03 1.7e-03 0.41
10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.267473041e+03 1.216176912e+03 9.3e-04 0.45
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.521998463e+03 7.366919193e+02 4.7e-04 0.48
12 8.0e-01 1.0e+00 4.5e+01 9.79e-01 -1.157116379e+03 5.992857984e+02 3.6e-04 0.51
13 4.7e-01 6.2e-01 2.6e+01 9.74e-01 -6.218252057e+02 4.222477285e+02 2.1e-04 0.55
14 2.3e-01 9.4e-01 1.3e+01 1.00e+00 -2.251408654e+02 2.955629700e+02 1.1e-04 0.59
15 1.1e-01 4.3e-01 6.0e+00 1.00e+00 -2.232972221e+01 2.143072877e+02 4.9e-05 0.62
16 8.0e-02 3.2e-01 4.6e+00 1.01e+00 2.953929749e+01 2.065403015e+02 3.7e-05 0.66
17 4.5e-02 1.9e-01 2.5e+00 1.02e+00 8.941238633e+01 1.876026024e+02 2.1e-05 0.70
18 1.2e-02 1.6e-01 7.0e-01 1.02e+00 1.463814412e+02 1.733410458e+02 5.7e-06 0.73
19 3.5e-03 1.8e-01 2.1e-01 1.01e+00 1.605121177e+02 1.684787335e+02 1.7e-06 0.77
20 2.0e-03 1.1e-01 1.2e-01 1.01e+00 1.630963661e+02 1.676296466e+02 9.7e-07 0.81
21 6.2e-04 1.3e-01 3.8e-02 1.01e+00 1.654047704e+02 1.668596331e+02 3.1e-07 0.85
22 4.6e-04 1.1e-01 2.9e-02 9.96e-01 1.656723315e+02 1.667524359e+02 2.4e-07 0.88
23 2.4e-04 7.7e-02 1.5e-02 9.84e-01 1.660386621e+02 1.666105963e+02 1.2e-07 0.92
24 2.0e-04 6.4e-02 1.2e-02 1.00e+00 1.661167459e+02 1.665843354e+02 1.0e-07 0.96
25 1.8e-04 5.9e-02 1.1e-02 1.01e+00 1.661509130e+02 1.665715135e+02 9.2e-08 1.00
26 1.6e-04 5.4e-02 1.0e-02 1.01e+00 1.661805991e+02 1.665590198e+02 8.3e-08 1.04
27 1.4e-04 4.9e-02 9.0e-03 1.01e+00 1.662074472e+02 1.665479472e+02 7.5e-08 1.08
28 1.3e-04 4.5e-02 8.1e-03 1.01e+00 1.662314973e+02 1.665378825e+02 6.7e-08 1.12
29 1.2e-04 4.1e-02 7.3e-03 1.01e+00 1.662530831e+02 1.665287768e+02 6.0e-08 1.16
30 1.1e-04 3.8e-02 6.6e-03 1.01e+00 1.662724526e+02 1.665205338e+02 5.4e-08 1.19
31 9.5e-05 3.5e-02 5.9e-03 1.01e+00 1.662898351e+02 1.665130732e+02 4.9e-08 1.23
32 8.5e-05 3.2e-02 5.3e-03 1.00e+00 1.663054348e+02 1.665063208e+02 4.4e-08 1.27
33 7.7e-05 3.0e-02 4.8e-03 1.00e+00 1.663194351e+02 1.665002096e+02 4.0e-08 1.30
34 6.9e-05 2.7e-02 4.3e-03 1.00e+00 1.663320006e+02 1.664946790e+02 3.6e-08 1.34
35 6.2e-05 2.6e-02 3.9e-03 1.00e+00 1.663432789e+02 1.664896747e+02 3.2e-08 1.38
36 5.6e-05 2.4e-02 3.5e-03 1.00e+00 1.663534028e+02 1.664851471e+02 2.9e-08 1.42
37 5.0e-05 2.2e-02 3.1e-03 1.00e+00 1.663624914e+02 1.664810517e+02 2.6e-08 1.46
38 4.5e-05 2.1e-02 2.8e-03 1.00e+00 1.663706512e+02 1.664773479e+02 2.3e-08 1.49
39 4.1e-05 1.9e-02 2.5e-03 1.00e+00 1.663779781e+02 1.664739992e+02 2.1e-08 1.53
40 3.7e-05 1.8e-02 2.3e-03 1.00e+00 1.663845577e+02 1.664709719e+02 1.9e-08 1.56
41 3.3e-05 1.7e-02 2.1e-03 1.00e+00 1.663904668e+02 1.664682358e+02 1.7e-08 1.60
42 3.0e-05 1.6e-02 1.9e-03 1.00e+00 1.663957742e+02 1.664657633e+02 1.5e-08 1.63
43 2.7e-05 1.5e-02 1.7e-03 1.00e+00 1.664005415e+02 1.664635295e+02 1.4e-08 1.67
44 2.4e-05 1.5e-02 1.5e-03 1.00e+00 1.664048240e+02 1.664615115e+02 1.2e-08 1.70
45 2.2e-05 1.4e-02 1.4e-03 1.00e+00 1.664086713e+02 1.664596887e+02 1.1e-08 1.74
46 2.0e-05 1.3e-02 1.2e-03 1.00e+00 1.664121279e+02 1.664580425e+02 1.0e-08 1.77
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664152335e+02 1.664565559e+02 9.1e-09 1.81
48 1.6e-05 1.2e-02 9.9e-04 1.00e+00 1.664180241e+02 1.664552137e+02 8.2e-09 1.84
49 1.4e-05 1.2e-02 8.9e-04 1.00e+00 1.664205317e+02 1.664540020e+02 7.4e-09 1.88
50 1.3e-05 1.1e-02 8.0e-04 1.00e+00 1.664227852e+02 1.664529082e+02 6.6e-09 1.91
51 1.2e-05 1.1e-02 7.2e-04 1.00e+00 1.664248105e+02 1.664519211e+02 6.0e-09 1.95
52 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.664266309e+02 1.664510302e+02 5.4e-09 1.98
53 9.3e-06 1.1e-02 5.8e-04 1.00e+00 1.664282671e+02 1.664502264e+02 4.8e-09 2.02
54 8.4e-06 1.0e-02 5.2e-04 1.00e+00 1.664297379e+02 1.664495013e+02 4.4e-09 2.05
55 7.6e-06 1.0e-02 4.7e-04 1.00e+00 1.664310601e+02 1.664488471e+02 3.9e-09 2.09
56 6.8e-06 9.8e-03 4.2e-04 1.00e+00 1.664322488e+02 1.664482571e+02 3.5e-09 2.12
57 6.1e-06 9.6e-03 3.8e-04 1.00e+00 1.664333175e+02 1.664477251e+02 3.2e-09 2.16
58 5.5e-06 9.5e-03 3.4e-04 1.00e+00 1.664342784e+02 1.664472453e+02 2.9e-09 2.19
59 5.0e-06 9.3e-03 3.1e-04 1.00e+00 1.664351424e+02 1.664468127e+02 2.6e-09 2.23
60 4.5e-06 9.2e-03 2.8e-04 1.00e+00 1.664359193e+02 1.664464226e+02 2.3e-09 2.26
61 4.0e-06 9.0e-03 2.5e-04 1.00e+00 1.664366179e+02 1.664460709e+02 2.1e-09 2.30
62 3.6e-06 8.9e-03 2.3e-04 1.00e+00 1.664372460e+02 1.664457538e+02 1.9e-09 2.33
63 3.3e-06 8.8e-03 2.0e-04 1.00e+00 1.664378109e+02 1.664454680e+02 1.7e-09 2.37
64 2.9e-06 8.7e-03 1.8e-04 1.00e+00 1.664383188e+02 1.664452102e+02 1.5e-09 2.41
65 2.6e-06 8.6e-03 1.6e-04 1.00e+00 1.664387757e+02 1.664449780e+02 1.4e-09 2.45
66 2.4e-06 8.6e-03 1.5e-04 1.00e+00 1.664391866e+02 1.664447687e+02 1.2e-09 2.49
67 2.1e-06 8.5e-03 1.3e-04 1.00e+00 1.664395562e+02 1.664445801e+02 1.1e-09 2.52
68 1.9e-06 8.4e-03 1.2e-04 1.00e+00 1.664398886e+02 1.664444103e+02 1.0e-09 2.56
69 1.7e-06 8.3e-03 1.1e-04 1.00e+00 1.664401878e+02 1.664442573e+02 9.0e-10 2.60
70 1.6e-06 8.3e-03 9.7e-05 1.00e+00 1.664404568e+02 1.664441194e+02 8.1e-10 2.63
71 1.4e-06 8.2e-03 8.7e-05 1.00e+00 1.664406989e+02 1.664439953e+02 7.3e-10 2.66
72 1.3e-06 8.2e-03 7.9e-05 1.00e+00 1.664409167e+02 1.664438834e+02 6.5e-10 2.70
73 1.1e-06 8.1e-03 7.1e-05 1.00e+00 1.664411127e+02 1.664437827e+02 5.9e-10 2.74
74 1.0e-06 8.1e-03 6.4e-05 1.00e+00 1.664412889e+02 1.664436920e+02 5.3e-10 2.78
75 9.2e-07 8.0e-03 5.7e-05 1.00e+00 1.664414475e+02 1.664436103e+02 4.8e-10 2.81
76 8.3e-07 8.0e-03 5.2e-05 1.00e+00 1.664415902e+02 1.664435367e+02 4.3e-10 2.85
77 7.4e-07 8.0e-03 4.6e-05 1.00e+00 1.664417186e+02 1.664434704e+02 3.9e-10 2.88
78 6.7e-07 7.9e-03 4.2e-05 1.00e+00 1.664418341e+02 1.664434107e+02 3.5e-10 2.92
79 6.0e-07 7.9e-03 3.8e-05 1.00e+00 1.664419379e+02 1.664433569e+02 3.1e-10 2.96
80 5.4e-07 7.9e-03 3.4e-05 1.00e+00 1.664420314e+02 1.664433085e+02 2.8e-10 3.00
81 4.9e-07 7.8e-03 3.0e-05 1.00e+00 1.664421154e+02 1.664432649e+02 2.5e-10 3.05
82 4.4e-07 7.8e-03 2.7e-05 1.00e+00 1.664421910e+02 1.664432255e+02 2.3e-10 3.09
83 4.0e-07 7.8e-03 2.5e-05 1.00e+00 1.664422591e+02 1.664431901e+02 2.1e-10 3.12
84 3.6e-07 7.8e-03 2.2e-05 9.99e-01 1.664423203e+02 1.664431582e+02 1.8e-10 3.17
85 3.2e-07 7.7e-03 2.0e-05 1.00e+00 1.664423753e+02 1.664431295e+02 1.7e-10 3.20
86 2.9e-07 7.7e-03 1.8e-05 1.00e+00 1.664424249e+02 1.664431036e+02 1.5e-10 3.24
87 2.6e-07 7.7e-03 1.6e-05 9.99e-01 1.664424695e+02 1.664430803e+02 1.3e-10 3.27
88 2.3e-07 7.7e-03 1.5e-05 9.99e-01 1.664425096e+02 1.664430594e+02 1.2e-10 3.31
89 2.1e-07 7.7e-03 1.3e-05 1.00e+00 1.664425457e+02 1.664430405e+02 1.1e-10 3.34
90 1.9e-07 7.6e-03 1.2e-05 1.00e+00 1.664425782e+02 1.664430235e+02 9.8e-11 3.38
91 1.7e-07 7.6e-03 1.1e-05 1.00e+00 1.664426075e+02 1.664430083e+02 8.8e-11 3.42
92 1.5e-07 7.6e-03 9.6e-06 1.00e+00 1.664426338e+02 1.664429945e+02 8.0e-11 3.45
93 1.4e-07 7.6e-03 8.6e-06 1.00e+00 1.664426575e+02 1.664429821e+02 7.2e-11 3.49
94 1.2e-07 7.6e-03 7.8e-06 1.00e+00 1.664426788e+02 1.664429710e+02 6.4e-11 3.52
95 1.1e-07 7.6e-03 7.0e-06 9.98e-01 1.664426980e+02 1.664429610e+02 5.8e-11 3.56
96 1.0e-07 7.6e-03 6.3e-06 9.99e-01 1.664427153e+02 1.664429520e+02 5.2e-11 3.59
97 9.1e-08 7.6e-03 5.7e-06 1.00e+00 1.664427308e+02 1.664429438e+02 4.7e-11 3.63
98 8.1e-08 7.5e-03 5.1e-06 9.97e-01 1.664427448e+02 1.664429365e+02 4.2e-11 3.66
99 7.3e-08 7.5e-03 4.6e-06 9.94e-01 1.664427574e+02 1.664429300e+02 3.8e-11 3.70
100 6.6e-08 7.5e-03 4.1e-06 9.96e-01 1.664427687e+02 1.664429241e+02 3.4e-11 3.73
101 5.9e-08 7.5e-03 3.7e-06 9.99e-01 1.664427789e+02 1.664429188e+02 3.1e-11 3.77
102 5.3e-08 6.7e-03 3.3e-06 1.01e+00 1.664427882e+02 1.664429139e+02 2.8e-11 3.80
103 4.8e-08 6.1e-03 3.0e-06 1.00e+00 1.664427965e+02 1.664429096e+02 2.5e-11 3.84
104 4.3e-08 5.5e-03 2.7e-06 1.02e+00 1.664428046e+02 1.664429052e+02 2.3e-11 3.87
105 3.9e-08 4.9e-03 2.4e-06 9.80e-01 1.664428112e+02 1.664429019e+02 2.0e-11 3.91
106 3.5e-08 4.4e-03 2.2e-06 1.02e+00 1.664428175e+02 1.664428985e+02 1.9e-11 3.94
107 3.2e-08 4.0e-03 2.0e-06 9.91e-01 1.664428228e+02 1.664428958e+02 1.7e-11 3.98
108 2.8e-08 3.6e-03 1.8e-06 1.03e+00 1.664428283e+02 1.664428928e+02 1.5e-11 4.02
109 2.6e-08 3.2e-03 1.6e-06 1.04e+00 1.664428332e+02 1.664428902e+02 1.4e-11 4.05
110 2.3e-08 2.9e-03 1.4e-06 9.86e-01 1.664428370e+02 1.664428883e+02 1.3e-11 4.09
111 2.1e-08 2.6e-03 1.3e-06 1.00e+00 1.664428404e+02 1.664428865e+02 1.1e-11 4.13
112 1.9e-08 2.4e-03 1.2e-06 1.05e+00 1.664428441e+02 1.664428845e+02 1.0e-11 4.16
113 1.7e-08 2.1e-03 1.0e-06 1.01e+00 1.664428469e+02 1.664428830e+02 9.4e-12 4.20
114 1.6e-08 1.9e-03 9.4e-07 1.09e+00 1.664428503e+02 1.664428811e+02 8.8e-12 4.23
115 1.4e-08 1.7e-03 8.5e-07 1.02e+00 1.664428525e+02 1.664428800e+02 8.0e-12 4.27
116 1.3e-08 1.5e-03 7.6e-07 1.03e+00 1.664428545e+02 1.664428789e+02 7.3e-12 4.30
117 1.2e-08 1.4e-03 6.9e-07 1.02e+00 1.664428563e+02 1.664428780e+02 6.6e-12 4.34
118 1.1e-08 1.2e-03 6.2e-07 1.10e+00 1.664428584e+02 1.664428769e+02 6.3e-12 4.37
119 1.0e-08 1.1e-03 5.6e-07 1.11e+00 1.664428602e+02 1.664428759e+02 5.9e-12 4.41
120 1.0e-08 1.0e-03 5.0e-07 7.64e-01 1.664428613e+02 1.664428752e+02 5.3e-12 4.44
121 1.2e-08 9.1e-04 4.5e-07 1.15e+00 1.664428630e+02 1.664428742e+02 5.1e-12 4.48
122 1.2e-08 8.2e-04 4.1e-07 7.65e-01 1.664428638e+02 1.664428738e+02 4.6e-12 4.52
123 1.2e-08 7.4e-04 3.7e-07 2.13e+00 1.664428645e+02 1.664428734e+02 4.1e-12 4.56
124 1.2e-08 6.6e-04 3.3e-07 2.34e+00 1.664428653e+02 1.664428728e+02 3.7e-12 4.59
125 1.6e-08 6.0e-04 3.0e-07 1.13e+00 1.664428662e+02 1.664428724e+02 3.5e-12 4.62
126 1.6e-08 5.4e-04 2.7e-07 7.12e-01 1.664428668e+02 1.664428721e+02 3.2e-12 4.66
127 1.6e-08 4.8e-04 2.4e-07 1.24e+00 1.664428672e+02 1.664428720e+02 2.8e-12 4.70
128 2.4e-08 4.4e-04 2.2e-07 2.38e+00 1.664428677e+02 1.664428717e+02 2.5e-12 4.73
129 2.0e-08 3.9e-04 1.9e-07 2.05e-01 1.664428679e+02 1.664428717e+02 2.3e-12 4.77
130 1.6e-08 3.5e-04 1.7e-07 4.32e-01 1.664428681e+02 1.664428717e+02 2.0e-12 4.80
131 1.5e-08 3.2e-04 1.6e-07 4.20e-01 1.664428683e+02 1.664428716e+02 1.8e-12 4.83
132 1.4e-08 2.9e-04 1.4e-07 1.60e+00 1.664428686e+02 1.664428715e+02 1.7e-12 4.87
133 8.0e-09 2.6e-04 1.3e-07 6.17e-01 1.664428688e+02 1.664428715e+02 1.5e-12 4.91
134 1.4e-08 2.3e-04 1.7e-07 1.00e+00 1.664428679e+02 1.664428714e+02 1.3e-12 4.94
135 1.5e-08 2.1e-04 1.6e-07 1.00e+00 1.664428680e+02 1.664428714e+02 1.2e-12 4.98
136 9.2e-09 1.3e-05 9.7e-09 4.55e-02 1.664428710e+02 1.664428713e+02 3.4e-13 5.01
Interior-point optimizer terminated. Time: 5.01.
Optimizer terminated. Time: 5.06
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644287097e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6644287132e+02 Viol. con: 0e+00 var: 9e-05
* End solution on dual form. *
Transforming to primal solution.
Solving took 5.08 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 : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+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 -1.281180362e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259625299e+05 3.560276280e+00 4.8e-01 0.12
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197266930e+05 1.024017487e+01 1.8e-01 0.15
3 2.9e+02 3.6e+02 1.6e+04 -8.38e-01 -1.150518109e+05 6.456782105e+01 1.2e-01 0.18
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.124051993e+05 2.300160568e+03 1.2e-01 0.21
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.417812543e+04 9.757628737e+03 3.3e-02 0.24
6 3.0e+01 3.8e+01 1.7e+03 -1.91e-01 -4.024549425e+04 1.031409987e+04 1.3e-02 0.28
7 1.8e+01 2.3e+01 1.0e+03 3.95e-01 -2.697121265e+04 6.726969175e+03 7.9e-03 0.31
8 9.6e+00 1.2e+01 5.3e+02 6.31e-01 -1.531805162e+04 3.871912858e+03 4.2e-03 0.35
9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.875116950e+03 1.809589483e+03 1.6e-03 0.38
10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.096681743e+03 1.203046773e+03 8.9e-04 0.42
11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.219597216e+03 6.194939930e+02 3.8e-04 0.45
12 8.2e-01 1.1e+00 4.6e+01 9.52e-01 -1.202439495e+03 5.954674093e+02 3.7e-04 0.49
13 5.1e-01 6.6e-01 2.9e+01 9.70e-01 -7.004922723e+02 4.298286726e+02 2.3e-04 0.52
14 3.1e-01 4.1e-01 1.7e+01 1.00e+00 -3.460785538e+02 3.419766554e+02 1.4e-04 0.56
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.601671619e+01 2.150273619e+02 5.0e-05 0.59
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.213525116e+01 2.053673563e+02 3.8e-05 0.63
17 4.1e-02 8.5e-02 2.3e+00 1.02e+00 9.690621986e+01 1.867812264e+02 1.9e-05 0.66
18 1.4e-02 8.5e-02 8.0e-01 1.02e+00 1.432875670e+02 1.740790090e+02 6.5e-06 0.69
19 5.8e-03 7.4e-02 3.4e-01 1.01e+00 1.564965499e+02 1.694323467e+02 2.7e-06 0.73
20 1.5e-03 1.5e-01 9.0e-02 1.01e+00 1.639323852e+02 1.673713536e+02 7.3e-07 0.76
21 7.1e-04 1.0e-01 4.4e-02 9.87e-01 1.652258066e+02 1.668861255e+02 3.6e-07 0.80
22 2.3e-04 1.1e-01 1.4e-02 9.99e-01 1.660352400e+02 1.665837756e+02 1.2e-07 0.83
23 1.1e-04 8.6e-02 7.0e-03 1.01e+00 1.662378980e+02 1.665007337e+02 5.8e-08 0.86
24 5.3e-05 7.5e-02 3.4e-03 1.01e+00 1.663316523e+02 1.664611558e+02 2.9e-08 0.90
25 4.8e-05 6.8e-02 3.1e-03 1.01e+00 1.663421677e+02 1.664587939e+02 2.6e-08 0.93
26 4.3e-05 6.2e-02 2.8e-03 1.01e+00 1.663501846e+02 1.664551091e+02 2.3e-08 0.97
27 3.9e-05 5.7e-02 2.5e-03 1.01e+00 1.663574990e+02 1.664519088e+02 2.1e-08 1.01
28 3.5e-05 5.2e-02 2.3e-03 1.01e+00 1.663640414e+02 1.664489905e+02 1.9e-08 1.04
29 3.1e-05 4.7e-02 2.0e-03 1.01e+00 1.663699193e+02 1.664463575e+02 1.7e-08 1.08
30 2.8e-05 4.4e-02 1.8e-03 1.01e+00 1.663751975e+02 1.664439789e+02 1.5e-08 1.11
31 2.5e-05 4.0e-02 1.6e-03 1.00e+00 1.663799384e+02 1.664418310e+02 1.4e-08 1.14
32 2.3e-05 3.7e-02 1.5e-03 1.00e+00 1.663841968e+02 1.664398915e+02 1.2e-08 1.18
33 2.1e-05 3.4e-02 1.3e-03 1.00e+00 1.663880223e+02 1.664381406e+02 1.1e-08 1.22
34 1.9e-05 3.1e-02 1.2e-03 1.00e+00 1.663914592e+02 1.664365599e+02 1.0e-08 1.25
35 1.7e-05 2.9e-02 1.1e-03 1.00e+00 1.663945471e+02 1.664351331e+02 9.1e-09 1.29
36 1.5e-05 2.7e-02 9.7e-04 1.00e+00 1.663973217e+02 1.664338454e+02 8.2e-09 1.33
37 1.3e-05 2.5e-02 8.7e-04 1.00e+00 1.663998150e+02 1.664326833e+02 7.4e-09 1.36
38 1.2e-05 2.3e-02 7.9e-04 1.00e+00 1.664020557e+02 1.664316347e+02 6.6e-09 1.40
39 1.1e-05 2.2e-02 7.1e-04 1.00e+00 1.664040695e+02 1.664306887e+02 6.0e-09 1.43
40 9.8e-06 2.0e-02 6.4e-04 1.00e+00 1.664058795e+02 1.664298352e+02 5.4e-09 1.47
41 8.9e-06 1.9e-02 5.7e-04 1.00e+00 1.664075065e+02 1.664290653e+02 4.8e-09 1.50
42 8.0e-06 1.8e-02 5.2e-04 1.00e+00 1.664089690e+02 1.664283710e+02 4.3e-09 1.54
43 7.2e-06 1.7e-02 4.6e-04 1.00e+00 1.664102839e+02 1.664277448e+02 3.9e-09 1.57
44 6.5e-06 1.6e-02 4.2e-04 1.00e+00 1.664114660e+02 1.664271802e+02 3.5e-09 1.61
45 5.8e-06 1.5e-02 3.8e-04 1.00e+00 1.664125288e+02 1.664266712e+02 3.2e-09 1.64
46 5.2e-06 1.5e-02 3.4e-04 1.00e+00 1.664134845e+02 1.664262123e+02 2.9e-09 1.69
47 4.7e-06 1.4e-02 3.0e-04 1.00e+00 1.664143439e+02 1.664257985e+02 2.6e-09 1.72
48 4.2e-06 1.3e-02 2.7e-04 1.00e+00 1.664151167e+02 1.664254257e+02 2.3e-09 1.76
49 3.8e-06 1.3e-02 2.5e-04 1.00e+00 1.664158116e+02 1.664250895e+02 2.1e-09 1.79
50 3.4e-06 1.2e-02 2.2e-04 1.00e+00 1.664164365e+02 1.664247864e+02 1.9e-09 1.82
51 3.1e-06 1.2e-02 2.0e-04 1.00e+00 1.664169985e+02 1.664245133e+02 1.7e-09 1.86
52 2.8e-06 1.1e-02 1.8e-04 1.00e+00 1.664175038e+02 1.664242672e+02 1.5e-09 1.89
53 2.5e-06 1.1e-02 1.6e-04 1.00e+00 1.664179584e+02 1.664240454e+02 1.4e-09 1.92
54 2.3e-06 1.1e-02 1.5e-04 1.00e+00 1.664183673e+02 1.664238455e+02 1.2e-09 1.96
55 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664187351e+02 1.664236655e+02 1.1e-09 1.99
56 1.8e-06 1.0e-02 1.2e-04 1.00e+00 1.664190661e+02 1.664235034e+02 1.0e-09 2.03
57 1.6e-06 1.0e-02 1.1e-04 1.00e+00 1.664193638e+02 1.664233573e+02 9.0e-10 2.06
58 1.5e-06 9.8e-03 9.6e-05 1.00e+00 1.664196316e+02 1.664232258e+02 8.1e-10 2.09
59 1.3e-06 9.6e-03 8.6e-05 1.00e+00 1.664198726e+02 1.664231074e+02 7.3e-10 2.13
60 1.2e-06 9.4e-03 7.8e-05 1.00e+00 1.664200894e+02 1.664230007e+02 6.5e-10 2.16
61 1.1e-06 9.3e-03 7.0e-05 1.00e+00 1.664202845e+02 1.664229046e+02 5.9e-10 2.19
62 9.7e-07 9.1e-03 6.3e-05 1.00e+00 1.664204600e+02 1.664228181e+02 5.3e-10 2.22
63 8.7e-07 9.0e-03 5.7e-05 1.00e+00 1.664206178e+02 1.664227401e+02 4.8e-10 2.25
64 7.8e-07 8.9e-03 5.1e-05 1.00e+00 1.664207599e+02 1.664226699e+02 4.3e-10 2.28
65 7.1e-07 8.8e-03 4.6e-05 1.00e+00 1.664208877e+02 1.664226066e+02 3.9e-10 2.32
66 6.4e-07 8.7e-03 4.1e-05 1.00e+00 1.664210027e+02 1.664225497e+02 3.5e-10 2.36
67 5.7e-07 8.6e-03 3.7e-05 1.00e+00 1.664211061e+02 1.664224984e+02 3.1e-10 2.39
68 5.1e-07 8.5e-03 3.3e-05 1.00e+00 1.664211991e+02 1.664224521e+02 2.8e-10 2.42
69 4.6e-07 8.4e-03 3.0e-05 1.00e+00 1.664212828e+02 1.664224105e+02 2.5e-10 2.46
70 4.2e-07 8.3e-03 2.7e-05 1.00e+00 1.664213581e+02 1.664223730e+02 2.3e-10 2.49
71 3.8e-07 8.3e-03 2.4e-05 1.00e+00 1.664214258e+02 1.664223392e+02 2.1e-10 2.52
72 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664214867e+02 1.664223088e+02 1.8e-10 2.56
73 3.0e-07 8.2e-03 2.0e-05 1.00e+00 1.664215415e+02 1.664222813e+02 1.7e-10 2.59
74 2.7e-07 8.1e-03 1.8e-05 1.00e+00 1.664215908e+02 1.664222566e+02 1.5e-10 2.63
75 2.5e-07 8.1e-03 1.6e-05 1.00e+00 1.664216352e+02 1.664222344e+02 1.3e-10 2.66
76 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664216751e+02 1.664222144e+02 1.2e-10 2.69
77 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664217110e+02 1.664221963e+02 1.1e-10 2.73
78 1.8e-07 7.9e-03 1.2e-05 1.00e+00 1.664217433e+02 1.664221801e+02 9.8e-11 2.76
79 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664217724e+02 1.664221655e+02 8.8e-11 2.79
80 1.5e-07 7.9e-03 9.4e-06 1.00e+00 1.664217986e+02 1.664221524e+02 7.9e-11 2.83
81 1.3e-07 7.9e-03 8.5e-06 1.00e+00 1.664218222e+02 1.664221405e+02 7.2e-11 2.86
82 1.2e-07 7.8e-03 7.6e-06 1.00e+00 1.664218434e+02 1.664221299e+02 6.4e-11 2.90
83 1.1e-07 7.0e-03 6.9e-06 1.01e+00 1.664218628e+02 1.664221200e+02 5.8e-11 2.94
84 9.5e-08 6.3e-03 6.2e-06 9.95e-01 1.664218799e+02 1.664221115e+02 5.2e-11 2.97
85 8.6e-08 5.7e-03 5.6e-06 9.99e-01 1.664218953e+02 1.664221037e+02 4.7e-11 3.01
86 7.7e-08 5.1e-03 5.0e-06 1.00e+00 1.664219092e+02 1.664220968e+02 4.2e-11 3.05
87 7.0e-08 4.6e-03 4.5e-06 1.00e+00 1.664219217e+02 1.664220905e+02 3.8e-11 3.08
88 6.3e-08 4.2e-03 4.1e-06 1.00e+00 1.664219329e+02 1.664220849e+02 3.4e-11 3.12
89 5.6e-08 3.7e-03 3.7e-06 1.00e+00 1.664219431e+02 1.664220798e+02 3.1e-11 3.16
90 5.1e-08 3.4e-03 3.3e-06 1.01e+00 1.664219524e+02 1.664220750e+02 2.8e-11 3.19
91 4.6e-08 3.0e-03 3.0e-06 9.92e-01 1.664219606e+02 1.664220710e+02 2.5e-11 3.23
92 4.1e-08 2.7e-03 2.7e-06 9.93e-01 1.664219679e+02 1.664220673e+02 2.3e-11 3.26
93 3.7e-08 2.5e-03 2.4e-06 9.91e-01 1.664219745e+02 1.664220640e+02 2.0e-11 3.30
94 3.3e-08 2.2e-03 2.2e-06 1.01e+00 1.664219807e+02 1.664220609e+02 1.8e-11 3.33
95 3.0e-08 2.0e-03 1.9e-06 1.01e+00 1.664219861e+02 1.664220581e+02 1.7e-11 3.37
96 2.7e-08 1.8e-03 1.7e-06 9.84e-01 1.664219909e+02 1.664220557e+02 1.5e-11 3.40
97 2.4e-08 1.6e-03 1.6e-06 9.89e-01 1.664219952e+02 1.664220536e+02 1.3e-11 3.43
98 2.2e-08 1.5e-03 1.4e-06 1.01e+00 1.664219993e+02 1.664220515e+02 1.2e-11 3.47
99 2.0e-08 1.3e-03 1.3e-06 1.02e+00 1.664220031e+02 1.664220496e+02 1.1e-11 3.50
100 1.8e-08 1.2e-03 1.1e-06 1.03e+00 1.664220066e+02 1.664220477e+02 1.0e-11 3.54
101 1.6e-08 1.1e-03 1.0e-06 9.76e-01 1.664220094e+02 1.664220464e+02 9.1e-12 3.57
102 1.4e-08 9.5e-04 9.3e-07 9.84e-01 1.664220118e+02 1.664220452e+02 8.2e-12 3.61
103 1.3e-08 8.6e-04 8.4e-07 9.86e-01 1.664220140e+02 1.664220441e+02 7.3e-12 3.64
104 1.2e-08 7.7e-04 7.5e-07 1.00e+00 1.664220160e+02 1.664220431e+02 6.6e-12 3.68
105 1.0e-08 6.9e-04 6.8e-07 1.00e+00 1.664220178e+02 1.664220422e+02 6.0e-12 3.72
106 9.4e-09 6.2e-04 6.1e-07 1.10e+00 1.664220202e+02 1.664220409e+02 5.6e-12 3.75
107 8.5e-09 5.6e-04 5.5e-07 1.01e+00 1.664220216e+02 1.664220402e+02 5.1e-12 3.79
108 7.6e-09 5.1e-04 4.9e-07 9.89e-01 1.664220228e+02 1.664220396e+02 4.6e-12 3.82
109 6.9e-09 4.6e-04 4.4e-07 9.45e-01 1.664220240e+02 1.664220390e+02 4.1e-12 3.86
110 6.2e-09 4.1e-04 4.0e-07 9.45e-01 1.664220250e+02 1.664220386e+02 3.7e-12 3.89
111 5.6e-09 3.7e-04 3.6e-07 1.03e+00 1.664220260e+02 1.664220380e+02 3.4e-12 3.93
112 5.0e-09 3.3e-04 3.2e-07 9.30e-01 1.664220268e+02 1.664220377e+02 3.0e-12 3.96
113 4.5e-09 3.0e-04 2.9e-07 1.04e+00 1.664220276e+02 1.664220372e+02 2.8e-12 4.00
114 4.1e-09 2.7e-04 2.6e-07 1.06e+00 1.664220285e+02 1.664220368e+02 2.6e-12 4.03
115 2.0e-09 1.6e-05 1.5e-08 9.02e-01 1.664220338e+02 1.664220343e+02 2.6e-13 4.06
Interior-point optimizer terminated. Time: 4.07.
Optimizer terminated. Time: 4.08
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203383e+02 Viol. con: 4e-08 var: 0e+00
Dual. obj: 1.6642203434e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.11 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 : 0.06 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 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259614430e+05 3.560064830e+00 4.8e-01 0.32
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197068249e+05 1.025352378e+01 1.8e-01 0.35
3 2.9e+02 3.6e+02 1.6e+04 -8.38e-01 -1.150279776e+05 6.481764209e+01 1.2e-01 0.39
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.123832088e+05 2.298633430e+03 1.2e-01 0.43
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.396342545e+04 9.786622997e+03 3.3e-02 0.46
6 3.0e+01 3.8e+01 1.7e+03 -1.88e-01 -4.013432661e+04 1.027693520e+04 1.3e-02 0.50
7 1.8e+01 2.3e+01 1.0e+03 3.97e-01 -2.696801487e+04 6.723020667e+03 7.9e-03 0.54
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.520123505e+04 3.849448270e+03 4.2e-03 0.57
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.269755667e+03 1.687248032e+03 1.4e-03 0.61
10 1.6e+00 2.0e+00 8.6e+01 9.55e-01 -2.308431501e+03 1.041884116e+03 6.9e-04 0.64
11 1.0e+00 1.3e+00 5.8e+01 9.87e-01 -1.504109506e+03 7.650697456e+02 4.7e-04 0.68
12 8.8e-01 1.1e+00 4.9e+01 9.72e-01 -1.271650543e+03 6.591060787e+02 3.9e-04 0.72
13 4.6e-01 6.0e-01 2.6e+01 9.79e-01 -6.085977080e+02 4.195784319e+02 2.1e-04 0.75
14 2.4e-01 4.1e-01 1.4e+01 1.00e+00 -2.357794845e+02 2.978026664e+02 1.1e-04 0.79
15 9.5e-02 1.8e-01 5.4e+00 1.00e+00 -4.404136780e+00 2.074372704e+02 4.4e-05 0.82
16 8.8e-02 1.6e-01 5.0e+00 1.02e+00 1.377410323e+01 2.095618087e+02 4.1e-05 0.86
17 6.0e-02 1.1e-01 3.4e+00 1.02e+00 6.129889794e+01 1.956041667e+02 2.8e-05 0.90
18 3.3e-02 7.9e-02 1.9e+00 1.02e+00 1.095590151e+02 1.826763822e+02 1.5e-05 0.93
19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.514487108e+02 1.719167628e+02 4.3e-06 0.97
20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602343382e+02 1.684277225e+02 1.7e-06 1.00
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642869222e+02 1.671994199e+02 6.3e-07 1.04
22 8.4e-04 1.0e-01 5.1e-02 9.86e-01 1.650121046e+02 1.669390028e+02 4.2e-07 1.07
23 2.5e-04 1.1e-01 1.6e-02 9.88e-01 1.659830702e+02 1.665841257e+02 1.3e-07 1.11
24 9.6e-05 1.0e-01 6.1e-03 1.01e+00 1.662457021e+02 1.664769629e+02 5.2e-08 1.14
25 3.8e-05 9.5e-02 2.4e-03 1.01e+00 1.663439568e+02 1.664356582e+02 2.1e-08 1.18
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663784195e+02 1.664209236e+02 9.6e-09 1.21
27 1.6e-05 7.4e-02 1.0e-03 1.00e+00 1.663819538e+02 1.664202251e+02 8.7e-09 1.24
28 1.4e-05 6.7e-02 9.2e-04 1.01e+00 1.663845478e+02 1.664189843e+02 7.8e-09 1.28
29 1.3e-05 6.1e-02 8.2e-04 1.00e+00 1.663869261e+02 1.664179135e+02 7.0e-09 1.32
30 1.1e-05 5.6e-02 7.4e-04 1.00e+00 1.663890563e+02 1.664169404e+02 6.3e-09 1.35
31 1.0e-05 5.1e-02 6.7e-04 1.00e+00 1.663909720e+02 1.664160641e+02 5.7e-09 1.39
32 9.2e-06 4.7e-02 6.0e-04 1.00e+00 1.663926938e+02 1.664152737e+02 5.1e-09 1.43
33 8.3e-06 4.3e-02 5.4e-04 1.00e+00 1.663942417e+02 1.664145612e+02 4.6e-09 1.46
34 7.5e-06 3.9e-02 4.9e-04 1.00e+00 1.663956333e+02 1.664139188e+02 4.1e-09 1.49
35 6.7e-06 3.6e-02 4.4e-04 1.00e+00 1.663968845e+02 1.664133398e+02 3.7e-09 1.53
36 6.0e-06 3.3e-02 3.9e-04 1.00e+00 1.663980095e+02 1.664128180e+02 3.4e-09 1.56
37 5.4e-06 3.1e-02 3.5e-04 1.00e+00 1.663990211e+02 1.664123477e+02 3.0e-09 1.60
38 4.9e-06 2.9e-02 3.2e-04 1.00e+00 1.663999308e+02 1.664119239e+02 2.7e-09 1.63
39 4.4e-06 2.6e-02 2.9e-04 1.00e+00 1.664007489e+02 1.664115419e+02 2.4e-09 1.67
40 4.0e-06 2.5e-02 2.6e-04 1.00e+00 1.664014846e+02 1.664111978e+02 2.2e-09 1.70
41 3.6e-06 2.3e-02 2.3e-04 1.00e+00 1.664021462e+02 1.664108876e+02 2.0e-09 1.73
42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027412e+02 1.664106081e+02 1.8e-09 1.77
43 2.9e-06 2.0e-02 1.9e-04 1.00e+00 1.664032764e+02 1.664103563e+02 1.6e-09 1.80
44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037577e+02 1.664101294e+02 1.4e-09 1.84
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664041906e+02 1.664099250e+02 1.3e-09 1.88
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045801e+02 1.664097409e+02 1.2e-09 1.91
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049305e+02 1.664095751e+02 1.1e-09 1.94
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052458e+02 1.664094258e+02 9.5e-10 1.98
49 1.5e-06 1.4e-02 1.0e-04 1.00e+00 1.664055294e+02 1.664092914e+02 8.5e-10 2.01
50 1.4e-06 1.4e-02 9.0e-05 1.00e+00 1.664057846e+02 1.664091703e+02 7.7e-10 2.05
51 1.2e-06 1.3e-02 8.1e-05 1.00e+00 1.664060142e+02 1.664090613e+02 6.9e-10 2.08
52 1.1e-06 1.2e-02 7.3e-05 1.00e+00 1.664062208e+02 1.664089631e+02 6.2e-10 2.12
53 1.0e-06 1.2e-02 6.6e-05 1.00e+00 1.664064066e+02 1.664088747e+02 5.6e-10 2.15
54 9.1e-07 1.2e-02 5.9e-05 1.00e+00 1.664065739e+02 1.664087950e+02 5.0e-10 2.18
55 8.2e-07 1.1e-02 5.3e-05 1.00e+00 1.664067243e+02 1.664087233e+02 4.5e-10 2.22
56 7.4e-07 1.1e-02 4.8e-05 1.00e+00 1.664068597e+02 1.664086587e+02 4.1e-10 2.25
57 6.6e-07 1.1e-02 4.3e-05 1.00e+00 1.664069814e+02 1.664086005e+02 3.7e-10 2.29
58 6.0e-07 1.0e-02 3.9e-05 1.00e+00 1.664070910e+02 1.664085481e+02 3.3e-10 2.32
59 5.4e-07 1.0e-02 3.5e-05 1.00e+00 1.664071895e+02 1.664085009e+02 3.0e-10 2.36
60 4.8e-07 9.7e-03 3.1e-05 9.99e-01 1.664072781e+02 1.664084584e+02 2.7e-10 2.39
61 4.3e-07 9.5e-03 2.8e-05 1.00e+00 1.664073578e+02 1.664084202e+02 2.4e-10 2.42
62 3.9e-07 9.3e-03 2.5e-05 9.99e-01 1.664074295e+02 1.664083857e+02 2.2e-10 2.46
63 3.5e-07 9.2e-03 2.3e-05 9.99e-01 1.664074940e+02 1.664083546e+02 2.0e-10 2.49
64 3.2e-07 9.0e-03 2.1e-05 1.00e+00 1.664075521e+02 1.664083266e+02 1.8e-10 2.53
65 2.8e-07 8.9e-03 1.9e-05 1.00e+00 1.664076043e+02 1.664083013e+02 1.6e-10 2.56
66 2.6e-07 8.7e-03 1.7e-05 1.00e+00 1.664076513e+02 1.664082786e+02 1.4e-10 2.60
67 2.3e-07 8.6e-03 1.5e-05 9.98e-01 1.664076935e+02 1.664082582e+02 1.3e-10 2.63
68 2.1e-07 8.5e-03 1.4e-05 1.00e+00 1.664077316e+02 1.664082398e+02 1.2e-10 2.67
69 1.9e-07 8.4e-03 1.2e-05 1.00e+00 1.664077658e+02 1.664082231e+02 1.0e-10 2.70
70 1.7e-07 8.3e-03 1.1e-05 9.98e-01 1.664077966e+02 1.664082082e+02 9.4e-11 2.74
71 1.5e-07 8.3e-03 9.9e-06 1.00e+00 1.664078243e+02 1.664081947e+02 8.4e-11 2.77
72 1.4e-07 8.2e-03 8.9e-06 1.00e+00 1.664078493e+02 1.664081826e+02 7.6e-11 2.80
73 1.2e-07 8.1e-03 8.0e-06 1.00e+00 1.664078717e+02 1.664081717e+02 6.8e-11 2.84
74 1.1e-07 8.1e-03 7.2e-06 9.98e-01 1.664078919e+02 1.664081619e+02 6.1e-11 2.87
75 9.9e-08 8.0e-03 6.5e-06 9.96e-01 1.664079100e+02 1.664081531e+02 5.5e-11 2.91
76 8.9e-08 8.0e-03 5.8e-06 1.00e+00 1.664079264e+02 1.664081452e+02 5.0e-11 2.95
77 8.0e-08 7.9e-03 5.2e-06 9.96e-01 1.664079411e+02 1.664081380e+02 4.5e-11 2.98
78 7.2e-08 7.9e-03 4.7e-06 1.00e+00 1.664079544e+02 1.664081316e+02 4.0e-11 3.02
79 6.5e-08 7.8e-03 4.3e-06 9.94e-01 1.664079663e+02 1.664081258e+02 3.6e-11 3.05
80 5.9e-08 7.8e-03 3.8e-06 9.98e-01 1.664079770e+02 1.664081206e+02 3.3e-11 3.09
81 5.3e-08 7.0e-03 3.4e-06 1.01e+00 1.664079869e+02 1.664081157e+02 2.9e-11 3.12
82 4.8e-08 6.3e-03 3.1e-06 1.00e+00 1.664079955e+02 1.664081115e+02 2.6e-11 3.15
83 4.3e-08 5.7e-03 2.8e-06 9.91e-01 1.664080033e+02 1.664081078e+02 2.4e-11 3.18
84 3.8e-08 5.1e-03 2.5e-06 9.91e-01 1.664080103e+02 1.664081044e+02 2.1e-11 3.21
85 3.5e-08 4.6e-03 2.3e-06 9.82e-01 1.664080166e+02 1.664081013e+02 1.9e-11 3.24
86 3.1e-08 4.1e-03 2.0e-06 9.98e-01 1.664080223e+02 1.664080986e+02 1.7e-11 3.27
87 2.8e-08 3.7e-03 1.8e-06 9.81e-01 1.664080274e+02 1.664080961e+02 1.6e-11 3.30
88 2.5e-08 3.4e-03 1.6e-06 9.61e-01 1.664080320e+02 1.664080939e+02 1.4e-11 3.34
89 2.3e-08 3.0e-03 1.5e-06 1.01e+00 1.664080362e+02 1.664080918e+02 1.3e-11 3.37
90 2.0e-08 2.7e-03 1.3e-06 9.95e-01 1.664080400e+02 1.664080900e+02 1.1e-11 3.40
91 1.8e-08 2.4e-03 1.2e-06 9.95e-01 1.664080433e+02 1.664080884e+02 1.0e-11 3.44
92 1.7e-08 2.2e-03 1.1e-06 1.00e+00 1.664080463e+02 1.664080869e+02 9.3e-12 3.47
93 1.5e-08 2.0e-03 9.7e-07 9.76e-01 1.664080490e+02 1.664080856e+02 8.3e-12 3.50
94 1.3e-08 1.8e-03 8.8e-07 1.03e+00 1.664080518e+02 1.664080842e+02 7.6e-12 3.53
95 1.2e-08 1.6e-03 7.9e-07 1.02e+00 1.664080542e+02 1.664080830e+02 6.9e-12 3.57
96 1.1e-08 1.4e-03 7.1e-07 1.03e+00 1.664080563e+02 1.664080819e+02 6.3e-12 3.60
97 9.9e-09 1.3e-03 6.4e-07 9.86e-01 1.664080580e+02 1.664080811e+02 5.7e-12 3.63
98 8.9e-09 1.2e-03 5.7e-07 9.79e-01 1.664080596e+02 1.664080803e+02 5.1e-12 3.67
99 8.1e-09 1.1e-03 5.2e-07 1.03e+00 1.664080611e+02 1.664080795e+02 4.6e-12 3.70
100 7.3e-09 9.5e-04 4.7e-07 9.46e-01 1.664080624e+02 1.664080790e+02 4.2e-12 3.73
101 6.6e-09 8.5e-04 4.2e-07 9.22e-01 1.664080634e+02 1.664080785e+02 3.8e-12 3.76
102 5.8e-09 7.7e-04 3.8e-07 1.00e+00 1.664080645e+02 1.664080779e+02 3.4e-12 3.80
103 5.3e-09 6.9e-04 3.4e-07 8.91e-01 1.664080653e+02 1.664080775e+02 3.1e-12 3.82
104 4.9e-09 6.2e-04 3.1e-07 9.29e-01 1.664080662e+02 1.664080772e+02 2.8e-12 3.86
105 4.5e-09 5.6e-04 2.7e-07 9.74e-01 1.664080669e+02 1.664080768e+02 2.5e-12 3.89
106 4.0e-09 5.0e-04 2.5e-07 8.52e-01 1.664080675e+02 1.664080765e+02 2.2e-12 3.93
107 3.7e-09 4.5e-04 2.2e-07 9.74e-01 1.664080681e+02 1.664080762e+02 2.0e-12 3.96
108 3.5e-09 4.1e-04 2.0e-07 7.82e-01 1.664080686e+02 1.664080760e+02 1.8e-12 4.00
109 3.1e-09 3.7e-04 1.8e-07 1.09e+00 1.664080693e+02 1.664080756e+02 1.7e-12 4.03
110 2.9e-09 3.3e-04 1.6e-07 1.06e+00 1.664080698e+02 1.664080753e+02 1.6e-12 4.07
111 2.6e-09 3.0e-04 1.5e-07 1.38e+00 1.664080702e+02 1.664080751e+02 1.4e-12 4.11
112 2.5e-09 2.7e-04 1.3e-07 8.80e-01 1.664080705e+02 1.664080750e+02 1.3e-12 4.14
113 4.8e-09 3.1e-05 1.5e-08 7.88e-01 1.664080733e+02 1.664080738e+02 2.4e-13 4.18
Interior-point optimizer terminated. Time: 4.18.
Optimizer terminated. Time: 4.20
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807328e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6640807385e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.23 seconds.
Solving took 9 GP solves and 48.7 seconds.
Solves with these variables bounded:
value near lower bound: Mission1.CruiseAlt
value near upper bound: Mission1.T_{t_{4.1_{max-Cruise}}}, Mission1.Aircraft.Engine.Thrust.\alpha_{max}, Mission1.Aircraft.Wing.WingNoStruct.A_{tri}, Mission1.TotalTime, Mission1.Aircraft.HorizontalTail.WingBox.M_{r_{out}}, Mission1.Aircraft.LandingGear.d_{nacelle}
Checking for relaxed constants...
Solution check warning: Primal solution computed cost did not match solver-returned cost: 1.4957406743409915e+110 vs 1.49570294599e+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: 3.705396171912416e+72 vs 3.70527002825e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682472]
Total Aircraft Weight Percent Diff: [-21.48057536]
Engine Weight Percent Diff: -56.2782320222422
Fuselage Weight Percent Diff: -0.8697355545151703
Payload Weight Percent Diff: [-0.04003561]
VT Weight Percent Diff: -8.607921997004683
HT Weight Percent Diff: -93.23328082701488
Wing Weight Percent Diff: 8.267419463844755
WING DIFFERENCES
Wing Span Percent Diff: -0.029993108794660748
Wing Area Percent Diff: 32.900121325770456
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.48931137633234
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022353565101202
VT Area Percent Diff: -60.38684732885294
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54729386]
L/D Percent Diff: [24.01021285]
Nacelle Cd Percent Diff: [-94.2764223]
HT Cd Percent Diff: [-80.76938224] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.0030659] dimensionless
Wing Cd percent Diff: [-14.22926565]
Induced Drag Cd Percent Diff: [1.21944987]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57036069]
FUSELAGE DIFFERENCES
Weight of HB material: -38.360688276838964
Weight of VB material: 87.81783225623582
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260525]