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Passed
gpkit.tests.from_paths.TestFiles.test_SPaircraft_py_mosek (from gpkit.tests.from_paths.TestFiles-20190901162913)
Standard Output
Mission
=======
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission.Aircraft.Wing.WingBox.N_{lift} = 3
Mission.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission.Aircraft.VerticalTail.WingBox.N_{lift}*Mission.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission.Aircraft.Wing.WingBox.r_{w/c} = Mission.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission.Aircraft.Fuselage.N_{lift} = Mission.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^0.214479*\tau_{vt}^-0.0383195*M[:^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 937
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 937
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 768
Optimizer - Cones : 0
Optimizer - Scalar variables : 3438 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285824792e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.5e+03 6.3e+04 -9.71e-01 -1.265132514e+05 3.611589420e+00 4.9e-01 0.07
2 4.1e+02 5.4e+02 2.3e+04 -9.38e-01 -1.199666169e+05 1.064041138e+01 1.8e-01 0.12
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.156309126e+05 6.812702963e+01 1.3e-01 0.17
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.131522901e+05 2.113211995e+03 1.3e-01 0.69
5 8.8e+01 1.2e+02 5.0e+03 -7.53e-01 -8.096538237e+04 8.430204037e+03 3.9e-02 0.85
6 3.7e+01 4.8e+01 2.1e+03 -2.92e-01 -4.806295568e+04 1.015705753e+04 1.6e-02 0.97
7 2.1e+01 2.8e+01 1.2e+03 2.53e-01 -3.183959973e+04 7.147574260e+03 9.5e-03 1.06
8 9.4e+00 1.2e+01 5.3e+02 5.37e-01 -1.516213576e+04 4.167067597e+03 4.2e-03 1.17
9 5.5e+00 7.2e+00 3.1e+02 8.14e-01 -8.873654488e+03 2.833843752e+03 2.5e-03 1.29
10 1.3e+00 1.8e+00 7.7e+01 9.07e-01 -2.032976954e+03 9.282385087e+02 6.1e-04 1.44
11 7.0e-01 9.2e-01 4.0e+01 9.94e-01 -8.350002142e+02 7.206024908e+02 3.2e-04 1.66
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.846306076e+02 5.632460213e+02 2.1e-04 1.72
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.148957258e+02 4.857769751e+02 1.6e-04 1.89
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.857417116e+01 3.656902710e+02 7.9e-05 1.98
15 5.5e-02 1.5e-01 3.3e+00 9.94e-01 1.620485362e+02 2.901550655e+02 2.6e-05 2.09
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.996394651e+02 2.746181590e+02 1.6e-05 2.20
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.444824012e+02 2.572405213e+02 2.8e-06 2.26
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509288752e+02 2.546905409e+02 8.3e-07 2.28
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527800443e+02 2.540213968e+02 2.8e-07 2.30
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532857302e+02 2.538354980e+02 1.2e-07 2.32
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533271035e+02 2.538219096e+02 1.1e-07 2.34
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533631909e+02 2.538084914e+02 1.0e-07 2.37
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533957124e+02 2.537964664e+02 9.0e-08 2.40
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534249555e+02 2.537856200e+02 8.1e-08 2.60
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534512557e+02 2.537758421e+02 7.3e-08 2.83
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534749084e+02 2.537670264e+02 6.6e-08 2.96
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534961824e+02 2.537590805e+02 5.9e-08 3.11
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535153179e+02 2.537519196e+02 5.3e-08 3.23
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535325308e+02 2.537454669e+02 4.8e-08 3.34
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535480148e+02 2.537396530e+02 4.3e-08 3.46
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535619442e+02 2.537344150e+02 3.9e-08 3.57
32 5.9e-05 2.9e-02 4.0e-03 1.00e+00 2.535744754e+02 2.537296963e+02 3.5e-08 3.62
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535857490e+02 2.537254456e+02 3.1e-08 3.72
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535958915e+02 2.537216167e+02 2.8e-08 3.84
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536050166e+02 2.537181679e+02 2.5e-08 3.95
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536132264e+02 2.537150615e+02 2.3e-08 4.01
37 3.5e-05 2.0e-02 2.4e-03 1.00e+00 2.536206130e+02 2.537122637e+02 2.1e-08 4.13
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536272589e+02 2.537097440e+02 1.9e-08 4.15
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536332386e+02 2.537074747e+02 1.7e-08 4.17
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536386189e+02 2.537054310e+02 1.5e-08 4.18
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536434601e+02 2.537035907e+02 1.4e-08 4.19
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536478161e+02 2.537019335e+02 1.2e-08 4.21
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536517357e+02 2.537004413e+02 1.1e-08 4.22
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536552627e+02 2.536990976e+02 9.8e-09 4.27
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536584365e+02 2.536978878e+02 8.9e-09 4.28
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536612924e+02 2.536967986e+02 8.0e-09 4.29
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536638623e+02 2.536958179e+02 7.2e-09 4.31
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536661750e+02 2.536949350e+02 6.5e-09 4.34
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536682562e+02 2.536941402e+02 5.8e-09 4.35
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536701290e+02 2.536934247e+02 5.2e-09 4.36
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536718144e+02 2.536927806e+02 4.7e-09 4.37
52 7.2e-06 1.0e-02 4.9e-04 1.00e+00 2.536733312e+02 2.536922007e+02 4.2e-09 4.38
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536746961e+02 2.536916788e+02 3.8e-09 4.40
54 5.9e-06 9.6e-03 3.9e-04 1.00e+00 2.536759245e+02 2.536912089e+02 3.4e-09 5.04
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770300e+02 2.536907860e+02 3.1e-09 5.16
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780248e+02 2.536904052e+02 2.8e-09 5.38
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789201e+02 2.536900625e+02 2.5e-09 5.50
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797258e+02 2.536897540e+02 2.3e-09 5.61
59 3.5e-06 8.7e-03 2.3e-04 1.00e+00 2.536804509e+02 2.536894763e+02 2.0e-09 5.66
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811034e+02 2.536892263e+02 1.8e-09 5.76
61 2.6e-06 7.1e-03 1.7e-04 1.00e+00 2.536821496e+02 2.536888254e+02 1.5e-09 5.90
62 2.3e-06 7.0e-03 1.5e-04 1.00e+00 2.536826322e+02 2.536886405e+02 1.4e-09 5.99
63 8.5e-07 2.6e-03 5.7e-05 1.00e+00 2.536853641e+02 2.536875928e+02 5.0e-10 6.13
64 8.1e-07 2.6e-03 5.5e-05 1.00e+00 2.536854352e+02 2.536875657e+02 4.8e-10 6.24
65 7.3e-07 2.3e-03 4.9e-05 1.00e+00 2.536855893e+02 2.536875068e+02 4.3e-10 6.41
66 6.6e-07 2.1e-03 4.4e-05 1.00e+00 2.536857278e+02 2.536874536e+02 3.9e-10 6.49
67 5.9e-07 1.9e-03 4.0e-05 1.00e+00 2.536858525e+02 2.536874057e+02 3.5e-10 6.64
68 5.3e-07 1.7e-03 3.6e-05 1.00e+00 2.536859648e+02 2.536873627e+02 3.1e-10 6.75
69 4.9e-07 1.5e-03 3.3e-05 1.00e+00 2.536860471e+02 2.536873311e+02 2.9e-10 6.77
70 4.7e-07 1.5e-03 3.2e-05 1.00e+00 2.536860879e+02 2.536873154e+02 2.8e-10 6.79
71 4.6e-07 1.5e-03 3.1e-05 1.00e+00 2.536861051e+02 2.536873088e+02 2.7e-10 6.81
72 4.5e-07 1.5e-03 3.0e-05 1.00e+00 2.536861219e+02 2.536873024e+02 2.7e-10 6.84
73 4.3e-07 1.4e-03 2.9e-05 1.00e+00 2.536861595e+02 2.536872879e+02 2.5e-10 6.86
74 4.2e-07 1.4e-03 2.8e-05 1.00e+00 2.536861753e+02 2.536872819e+02 2.5e-10 6.89
75 3.8e-07 1.3e-03 2.6e-05 1.00e+00 2.536862552e+02 2.536872512e+02 2.2e-10 6.93
76 3.6e-07 1.2e-03 2.4e-05 1.00e+00 2.536862869e+02 2.536872390e+02 2.1e-10 7.16
77 3.6e-07 1.2e-03 2.4e-05 1.00e+00 2.536862895e+02 2.536872380e+02 2.1e-10 7.27
78 3.3e-07 1.1e-03 2.2e-05 1.00e+00 2.536863580e+02 2.536872117e+02 1.9e-10 7.39
79 3.0e-07 1.0e-03 2.0e-05 1.00e+00 2.536864083e+02 2.536871924e+02 1.8e-10 7.44
80 3.0e-07 1.0e-03 2.0e-05 1.00e+00 2.536864104e+02 2.536871916e+02 1.8e-10 7.56
81 2.7e-07 9.0e-04 1.8e-05 1.00e+00 2.536864668e+02 2.536871699e+02 1.6e-10 7.76
82 2.4e-07 8.1e-04 1.6e-05 1.00e+00 2.536865127e+02 2.536871523e+02 1.4e-10 7.88
83 2.4e-07 8.1e-04 1.6e-05 1.00e+00 2.536865144e+02 2.536871517e+02 1.4e-10 7.95
84 2.2e-07 7.4e-04 1.5e-05 1.00e+00 2.536865582e+02 2.536871349e+02 1.3e-10 8.06
85 2.0e-07 6.6e-04 1.3e-05 1.00e+00 2.536865998e+02 2.536871189e+02 1.2e-10 8.17
86 2.0e-07 6.6e-04 1.3e-05 1.00e+00 2.536866012e+02 2.536871183e+02 1.2e-10 8.28
87 1.8e-07 6.0e-04 1.2e-05 1.00e+00 2.536866367e+02 2.536871047e+02 1.1e-10 8.38
88 1.6e-07 5.4e-04 1.1e-05 1.00e+00 2.536866705e+02 2.536870917e+02 9.5e-11 8.43
89 1.5e-07 4.9e-04 9.8e-06 1.00e+00 2.536866994e+02 2.536870806e+02 8.6e-11 8.54
90 1.3e-07 4.4e-04 8.9e-06 1.00e+00 2.536867243e+02 2.536870710e+02 7.8e-11 8.63
91 1.2e-07 4.0e-04 8.1e-06 1.00e+00 2.536867469e+02 2.536870623e+02 7.1e-11 8.64
92 1.2e-07 4.0e-04 8.1e-06 1.00e+00 2.536867477e+02 2.536870620e+02 7.1e-11 8.70
93 1.1e-07 3.8e-04 7.7e-06 1.00e+00 2.536867577e+02 2.536870582e+02 6.8e-11 8.82
94 1.0e-07 3.5e-04 7.0e-06 1.00e+00 2.536867794e+02 2.536870498e+02 6.1e-11 8.93
95 1.0e-07 3.5e-04 6.9e-06 1.00e+00 2.536867801e+02 2.536870495e+02 6.1e-11 9.00
96 9.3e-08 3.1e-04 6.2e-06 1.00e+00 2.536867996e+02 2.536870421e+02 5.4e-11 9.03
97 9.2e-08 3.1e-04 6.2e-06 1.00e+00 2.536868003e+02 2.536870418e+02 5.4e-11 9.05
98 8.3e-08 2.8e-04 5.6e-06 1.00e+00 2.536868177e+02 2.536870351e+02 4.9e-11 9.07
99 7.5e-08 2.5e-04 5.0e-06 1.00e+00 2.536868334e+02 2.536870291e+02 4.4e-11 9.10
100 6.7e-08 2.3e-04 4.5e-06 1.00e+00 2.536868475e+02 2.536870236e+02 4.0e-11 9.14
101 6.1e-08 2.1e-04 4.1e-06 1.00e+00 2.536868590e+02 2.536870192e+02 3.6e-11 9.18
102 6.1e-08 2.1e-04 4.1e-06 1.00e+00 2.536868590e+02 2.536870192e+02 3.6e-11 9.40
103 5.6e-08 1.9e-04 3.7e-06 1.00e+00 2.536868695e+02 2.536870152e+02 3.3e-11 9.46
104 5.1e-08 1.7e-04 3.4e-06 1.00e+00 2.536868790e+02 2.536870115e+02 3.0e-11 9.58
105 4.7e-08 1.6e-04 3.1e-06 1.00e+00 2.536868868e+02 2.536870085e+02 2.7e-11 9.70
106 4.2e-08 1.4e-04 2.8e-06 9.99e-01 2.536868947e+02 2.536870055e+02 2.5e-11 9.80
107 3.8e-08 1.3e-04 2.6e-06 1.00e+00 2.536869027e+02 2.536870024e+02 2.2e-11 9.93
108 3.8e-08 1.3e-04 2.6e-06 1.00e+00 2.536869027e+02 2.536870024e+02 2.2e-11 10.05
109 3.5e-08 1.2e-04 2.3e-06 1.00e+00 2.536869095e+02 2.536869998e+02 2.0e-11 10.17
110 3.1e-08 1.1e-04 2.1e-06 1.00e+00 2.536869154e+02 2.536869975e+02 1.8e-11 10.22
111 2.8e-08 9.5e-05 1.9e-06 9.99e-01 2.536869213e+02 2.536869952e+02 1.7e-11 10.32
112 2.6e-08 8.6e-05 1.7e-06 1.00e+00 2.536869264e+02 2.536869933e+02 1.5e-11 10.46
113 2.4e-08 8.2e-05 1.6e-06 1.00e+00 2.536869285e+02 2.536869924e+02 1.4e-11 10.59
114 2.4e-08 8.2e-05 1.6e-06 1.00e+00 2.536869285e+02 2.536869924e+02 1.4e-11 10.80
115 2.2e-08 7.4e-05 1.5e-06 9.99e-01 2.536869329e+02 2.536869907e+02 1.3e-11 10.86
116 2.0e-08 6.8e-05 1.4e-06 9.99e-01 2.536869367e+02 2.536869893e+02 1.2e-11 11.05
117 2.0e-08 6.8e-05 1.4e-06 1.00e+00 2.536869367e+02 2.536869893e+02 1.2e-11 11.11
118 1.8e-08 6.2e-05 1.2e-06 1.00e+00 2.536869398e+02 2.536869881e+02 1.1e-11 11.21
119 1.8e-08 6.2e-05 1.2e-06 1.00e+00 2.536869398e+02 2.536869881e+02 1.1e-11 11.23
120 1.7e-08 5.6e-05 1.1e-06 9.99e-01 2.536869433e+02 2.536869868e+02 9.8e-12 11.25
121 1.7e-08 5.6e-05 1.1e-06 1.00e+00 2.536869433e+02 2.536869868e+02 9.8e-12 11.28
122 1.5e-08 5.1e-05 1.0e-06 1.00e+00 2.536869463e+02 2.536869856e+02 8.8e-12 11.29
123 1.4e-08 4.7e-05 9.4e-07 1.00e+00 2.536869481e+02 2.536869849e+02 8.3e-12 11.32
124 1.4e-08 4.7e-05 9.4e-07 1.00e+00 2.536869481e+02 2.536869849e+02 8.3e-12 11.35
125 1.3e-08 4.3e-05 8.5e-07 1.00e+00 2.536869507e+02 2.536869839e+02 7.5e-12 11.39
126 1.3e-08 4.3e-05 8.5e-07 1.00e+00 2.536869507e+02 2.536869839e+02 7.5e-12 11.63
127 1.3e-08 4.3e-05 8.5e-07 1.00e+00 2.536869507e+02 2.536869839e+02 7.5e-12 11.75
128 1.2e-08 3.9e-05 7.7e-07 1.00e+00 2.536869529e+02 2.536869830e+02 6.8e-12 11.86
129 1.1e-08 3.7e-05 7.4e-07 9.99e-01 2.536869539e+02 2.536869827e+02 6.5e-12 12.08
130 1.1e-08 3.7e-05 7.4e-07 1.00e+00 2.536869539e+02 2.536869827e+02 6.5e-12 12.23
131 9.9e-09 3.3e-05 6.7e-07 1.00e+00 2.536869559e+02 2.536869819e+02 5.8e-12 12.34
132 9.9e-09 3.3e-05 6.7e-07 1.00e+00 2.536869559e+02 2.536869819e+02 5.8e-12 12.45
133 9.0e-09 3.0e-05 6.0e-07 9.97e-01 2.536869577e+02 2.536869812e+02 5.3e-12 12.50
134 8.1e-09 2.7e-05 5.4e-07 9.98e-01 2.536869594e+02 2.536869805e+02 4.7e-12 12.70
Interior-point optimizer terminated. Time: 12.71.
Optimizer terminated. Time: 12.71
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695944e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 2.5368698052e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 12.7 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286636032e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.264180260e+05 3.781070855e+00 4.7e-01 0.60
2 4.6e+02 6.0e+02 2.6e+04 -9.35e-01 -1.210471962e+05 9.871250644e+00 2.0e-01 0.83
3 2.9e+02 3.8e+02 1.6e+04 -8.50e-01 -1.158624976e+05 5.253701844e+01 1.3e-01 0.94
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.137381539e+05 1.863811987e+03 1.3e-01 1.00
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.842864584e+04 9.038469662e+03 3.6e-02 1.11
6 3.6e+01 4.7e+01 2.0e+03 -2.53e-01 -4.698030342e+04 1.010176990e+04 1.6e-02 1.24
7 1.8e+01 2.4e+01 1.0e+03 2.76e-01 -2.813349014e+04 6.397683277e+03 8.2e-03 1.37
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.477869508e+04 4.004072450e+03 4.0e-03 1.49
9 5.7e+00 7.4e+00 3.2e+02 8.20e-01 -9.247830963e+03 2.776682242e+03 2.5e-03 1.61
10 1.9e+00 2.5e+00 1.1e+02 9.03e-01 -3.003060895e+03 1.154002909e+03 8.5e-04 1.72
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.419019797e+03 1.010907334e+03 7.0e-04 1.85
12 1.0e+00 1.4e+00 5.7e+01 9.77e-01 -1.494910267e+03 7.263451929e+02 4.5e-04 1.87
13 4.7e-01 7.0e-01 2.7e+01 9.83e-01 -6.134624740e+02 4.375217743e+02 2.1e-04 1.90
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.355956067e+02 3.290669165e+02 1.1e-04 1.92
15 1.0e-01 1.7e-01 5.9e+00 1.00e+00 7.317534773e+00 2.369834375e+02 4.7e-05 1.94
16 5.0e-02 1.0e-01 2.9e+00 1.00e+00 9.073376761e+01 2.038615214e+02 2.3e-05 1.95
17 1.0e-02 1.5e-01 6.3e-01 1.01e+00 1.546017174e+02 1.791070651e+02 5.2e-06 1.97
18 6.2e-03 1.0e-01 3.8e-01 1.01e+00 1.615121046e+02 1.764421347e+02 3.2e-06 1.99
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.694752246e+02 1.734658698e+02 8.7e-07 2.03
20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717779201e+02 1.726253079e+02 1.9e-07 2.24
21 1.4e-04 1.0e-01 9.3e-03 9.93e-01 1.721395949e+02 1.725021465e+02 8.2e-08 2.47
22 8.8e-05 8.3e-02 5.9e-03 1.00e+00 1.722353246e+02 1.724645598e+02 5.2e-08 2.52
23 7.9e-05 7.7e-02 5.3e-03 1.00e+00 1.722533733e+02 1.724597556e+02 4.7e-08 2.62
24 7.1e-05 7.0e-02 4.8e-03 1.00e+00 1.722685712e+02 1.724543198e+02 4.2e-08 2.72
25 6.4e-05 6.4e-02 4.3e-03 1.00e+00 1.722822922e+02 1.724494668e+02 3.8e-08 2.84
26 5.8e-05 5.8e-02 3.9e-03 1.00e+00 1.722946120e+02 1.724450688e+02 3.4e-08 2.89
27 5.2e-05 5.3e-02 3.5e-03 1.00e+00 1.723056870e+02 1.724410972e+02 3.1e-08 2.98
28 4.7e-05 4.9e-02 3.1e-03 1.00e+00 1.723156394e+02 1.724375075e+02 2.8e-08 2.99
29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723245831e+02 1.724342632e+02 2.5e-08 3.05
30 3.8e-05 4.1e-02 2.5e-03 1.00e+00 1.723326202e+02 1.724313312e+02 2.2e-08 3.06
31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723398429e+02 1.724286818e+02 2.0e-08 3.08
32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723463343e+02 1.724262884e+02 1.8e-08 3.09
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723521691e+02 1.724241271e+02 1.6e-08 3.11
34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723574143e+02 1.724221759e+02 1.5e-08 3.12
35 2.2e-05 2.8e-02 1.5e-03 1.00e+00 1.723621299e+02 1.724204149e+02 1.3e-08 3.13
36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723663699e+02 1.724188259e+02 1.2e-08 3.14
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723701825e+02 1.724173926e+02 1.1e-08 3.15
38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723736110e+02 1.724160999e+02 9.6e-09 3.16
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723766944e+02 1.724149343e+02 8.6e-09 3.18
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723794675e+02 1.724138833e+02 7.8e-09 3.19
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723819616e+02 1.724129358e+02 7.0e-09 3.36
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723842050e+02 1.724120818e+02 6.3e-09 3.38
43 9.6e-06 1.6e-02 6.5e-04 1.00e+00 1.723862229e+02 1.724113120e+02 5.7e-09 3.39
44 8.7e-06 1.5e-02 5.8e-04 1.00e+00 1.723880381e+02 1.724106183e+02 5.1e-09 3.41
45 7.8e-06 1.5e-02 5.2e-04 1.00e+00 1.723896710e+02 1.724099931e+02 4.6e-09 3.42
46 7.0e-06 1.4e-02 4.7e-04 1.00e+00 1.723911399e+02 1.724094299e+02 4.1e-09 3.44
47 6.3e-06 1.3e-02 4.3e-04 1.00e+00 1.723924613e+02 1.724089224e+02 3.7e-09 3.45
48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723936502e+02 1.724084652e+02 3.3e-09 3.50
49 5.1e-06 1.2e-02 3.4e-04 1.00e+00 1.723947197e+02 1.724080533e+02 3.0e-09 3.52
50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723956820e+02 1.724076823e+02 2.7e-09 3.53
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965478e+02 1.724073481e+02 2.4e-09 3.54
52 3.7e-06 1.1e-02 2.5e-04 1.00e+00 1.723973268e+02 1.724070471e+02 2.2e-09 3.55
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980277e+02 1.724067760e+02 2.0e-09 3.58
54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986583e+02 1.724065319e+02 1.8e-09 3.59
55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992258e+02 1.724063120e+02 1.6e-09 3.60
56 2.5e-06 9.7e-03 1.6e-04 1.00e+00 1.723997363e+02 1.724061140e+02 1.4e-09 3.66
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001958e+02 1.724059357e+02 1.3e-09 3.67
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724006092e+02 1.724057751e+02 1.2e-09 3.69
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009812e+02 1.724056305e+02 1.1e-09 3.71
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013159e+02 1.724055004e+02 9.5e-10 3.72
61 1.4e-06 8.8e-03 9.7e-05 1.00e+00 1.724016171e+02 1.724053832e+02 8.5e-10 3.73
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018882e+02 1.724052776e+02 7.7e-10 3.74
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021321e+02 1.724051826e+02 6.9e-10 3.76
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023516e+02 1.724050970e+02 6.2e-10 3.77
65 9.5e-07 8.4e-03 6.4e-05 1.00e+00 1.724025491e+02 1.724050200e+02 5.6e-10 3.78
66 8.5e-07 8.3e-03 5.7e-05 1.00e+00 1.724027268e+02 1.724049506e+02 5.0e-10 3.80
67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028867e+02 1.724048882e+02 4.5e-10 3.86
68 6.9e-07 8.1e-03 4.7e-05 1.00e+00 1.724030306e+02 1.724048320e+02 4.1e-10 3.87
69 6.2e-07 8.0e-03 4.2e-05 1.00e+00 1.724031601e+02 1.724047814e+02 3.7e-10 3.89
70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032767e+02 1.724047358e+02 3.3e-10 3.91
71 5.0e-07 7.9e-03 3.4e-05 1.00e+00 1.724033815e+02 1.724046947e+02 3.0e-10 3.92
72 4.5e-07 7.9e-03 3.1e-05 1.00e+00 1.724034759e+02 1.724046578e+02 2.7e-10 3.93
73 4.1e-07 7.8e-03 2.7e-05 1.00e+00 1.724035608e+02 1.724046246e+02 2.4e-10 3.94
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036372e+02 1.724045946e+02 2.2e-10 3.95
75 3.3e-07 7.7e-03 2.2e-05 1.00e+00 1.724037060e+02 1.724045676e+02 1.9e-10 3.96
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037679e+02 1.724045433e+02 1.8e-10 3.98
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038236e+02 1.724045215e+02 1.6e-10 4.03
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038737e+02 1.724045018e+02 1.4e-10 4.04
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039188e+02 1.724044841e+02 1.3e-10 4.06
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039594e+02 1.724044681e+02 1.2e-10 4.07
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039959e+02 1.724044538e+02 1.0e-10 4.09
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040288e+02 1.724044408e+02 9.3e-11 4.10
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040584e+02 1.724044292e+02 8.4e-11 4.11
84 1.3e-07 7.5e-03 8.6e-06 1.00e+00 1.724040850e+02 1.724044187e+02 7.5e-11 4.12
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041089e+02 1.724044093e+02 6.8e-11 4.13
86 1.0e-07 7.4e-03 7.0e-06 1.00e+00 1.724041305e+02 1.724044008e+02 6.1e-11 4.15
87 9.4e-08 7.4e-03 6.3e-06 9.98e-01 1.724041499e+02 1.724043932e+02 5.5e-11 4.16
88 8.4e-08 7.4e-03 5.7e-06 9.98e-01 1.724041673e+02 1.724043863e+02 5.0e-11 4.17
89 7.6e-08 7.4e-03 5.1e-06 9.99e-01 1.724041830e+02 1.724043801e+02 4.5e-11 4.18
90 6.8e-08 7.4e-03 4.6e-06 1.00e+00 1.724041972e+02 1.724043746e+02 4.0e-11 4.19
91 6.1e-08 7.3e-03 4.1e-06 9.99e-01 1.724042099e+02 1.724043695e+02 3.6e-11 4.20
92 5.5e-08 7.3e-03 3.7e-06 9.99e-01 1.724042213e+02 1.724043650e+02 3.2e-11 4.21
93 5.0e-08 7.3e-03 3.3e-06 1.00e+00 1.724042317e+02 1.724043609e+02 2.9e-11 4.22
94 4.5e-08 6.6e-03 3.0e-06 1.00e+00 1.724042411e+02 1.724043572e+02 2.6e-11 4.23
95 4.0e-08 5.9e-03 2.7e-06 1.01e+00 1.724042496e+02 1.724043538e+02 2.4e-11 4.24
96 3.6e-08 5.3e-03 2.4e-06 1.00e+00 1.724042570e+02 1.724043509e+02 2.1e-11 4.25
97 3.3e-08 4.8e-03 2.2e-06 1.01e+00 1.724042639e+02 1.724043482e+02 1.9e-11 4.28
98 2.9e-08 4.3e-03 2.0e-06 1.02e+00 1.724042703e+02 1.724043456e+02 1.7e-11 4.29
99 2.6e-08 3.9e-03 1.8e-06 9.94e-01 1.724042757e+02 1.724043435e+02 1.6e-11 4.31
100 2.4e-08 3.5e-03 1.6e-06 9.90e-01 1.724042806e+02 1.724043416e+02 1.4e-11 4.33
101 2.1e-08 3.2e-03 1.4e-06 1.00e+00 1.724042850e+02 1.724043398e+02 1.3e-11 4.42
102 1.9e-08 2.8e-03 1.3e-06 9.98e-01 1.724042889e+02 1.724043383e+02 1.1e-11 4.43
103 1.7e-08 2.6e-03 1.2e-06 1.00e+00 1.724042925e+02 1.724043369e+02 1.0e-11 4.45
104 1.6e-08 2.3e-03 1.0e-06 9.93e-01 1.724042956e+02 1.724043356e+02 9.3e-12 4.46
105 3.9e-09 5.7e-04 2.6e-07 9.93e-01 1.724043172e+02 1.724043271e+02 2.3e-12 4.48
106 3.5e-09 5.1e-04 2.3e-07 1.04e+00 1.724043181e+02 1.724043268e+02 2.1e-12 4.49
107 1.0e-09 1.1e-04 4.9e-08 9.80e-01 1.724043230e+02 1.724043248e+02 4.6e-13 4.50
Interior-point optimizer terminated. Time: 4.50.
Optimizer terminated. Time: 4.51
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432297e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.7240432483e+02 Viol. con: 0e+00 var: 8e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.54 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.289209250e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.267404369e+05 3.637046827e+00 4.8e-01 0.07
2 4.4e+02 5.7e+02 2.4e+04 -9.36e-01 -1.207993249e+05 1.004621955e+01 1.9e-01 0.08
3 2.9e+02 3.8e+02 1.6e+04 -8.43e-01 -1.160618634e+05 5.990662972e+01 1.3e-01 0.12
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.136045213e+05 2.136094275e+03 1.3e-01 0.14
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.752619698e+04 9.316591710e+03 3.5e-02 0.15
6 4.0e+01 5.2e+01 2.2e+03 -2.34e-01 -5.076742797e+04 1.003180128e+04 1.8e-02 0.17
7 3.0e+01 3.9e+01 1.7e+03 2.19e-01 -4.171035196e+04 8.294889751e+03 1.3e-02 0.18
8 1.9e+01 2.4e+01 1.0e+03 3.81e-01 -2.865137703e+04 5.387060765e+03 8.1e-03 0.19
9 7.9e+00 1.0e+01 4.4e+02 6.03e-01 -1.310594471e+04 3.143045032e+03 3.5e-03 0.20
10 4.0e+00 5.2e+00 2.2e+02 8.46e-01 -6.378096485e+03 2.128678147e+03 1.8e-03 0.22
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.514539712e+03 1.314872039e+03 9.9e-04 0.23
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.333947563e+03 6.456454541e+02 4.0e-04 0.25
13 8.2e-01 1.1e+00 4.6e+01 9.70e-01 -1.223648357e+03 5.999354180e+02 3.7e-04 0.26
14 5.9e-01 7.8e-01 3.3e+01 9.74e-01 -8.149786927e+02 4.893550181e+02 2.6e-04 0.27
15 2.2e-01 7.6e-01 1.2e+01 9.90e-01 -1.999807680e+02 2.844535837e+02 9.8e-05 0.28
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.241227472e+01 2.161155563e+02 4.9e-05 0.37
17 7.7e-02 2.8e-01 4.5e+00 1.01e+00 2.681021112e+01 2.015605461e+02 3.6e-05 0.38
18 5.1e-02 2.0e-01 3.0e+00 1.02e+00 7.892005242e+01 1.950358905e+02 2.4e-05 0.39
19 1.4e-02 1.1e-01 8.5e-01 1.00e+00 1.414696235e+02 1.745815909e+02 6.9e-06 0.40
20 4.0e-03 2.2e-01 2.4e-01 1.02e+00 1.602704112e+02 1.696481420e+02 1.9e-06 0.70
21 2.7e-03 2.1e-01 1.6e-01 1.01e+00 1.624283412e+02 1.687369914e+02 1.3e-06 2.53
22 1.9e-03 1.5e-01 1.2e-01 1.00e+00 1.637169800e+02 1.683012353e+02 9.5e-07 2.96
23 7.5e-04 9.5e-02 4.7e-02 1.01e+00 1.658030148e+02 1.676006381e+02 3.8e-07 4.41
24 3.6e-04 7.9e-02 2.3e-02 1.01e+00 1.664694279e+02 1.673480807e+02 1.9e-07 5.25
25 3.3e-04 7.2e-02 2.1e-02 1.01e+00 1.665375473e+02 1.673287286e+02 1.7e-07 5.57
26 3.0e-04 6.6e-02 1.9e-02 1.01e+00 1.665946417e+02 1.673064455e+02 1.5e-07 5.58
27 2.7e-04 6.0e-02 1.7e-02 1.01e+00 1.666462305e+02 1.672866472e+02 1.4e-07 5.59
28 2.4e-04 5.5e-02 1.5e-02 1.01e+00 1.666924252e+02 1.672686297e+02 1.2e-07 5.62
29 2.2e-04 5.0e-02 1.4e-02 1.01e+00 1.667338745e+02 1.672523191e+02 1.1e-07 5.63
30 1.9e-04 4.6e-02 1.2e-02 1.01e+00 1.667710381e+02 1.672375241e+02 9.9e-08 5.64
31 1.7e-04 4.2e-02 1.1e-02 1.01e+00 1.668043604e+02 1.672241046e+02 8.9e-08 5.66
32 1.6e-04 3.8e-02 9.9e-03 1.01e+00 1.668342367e+02 1.672119305e+02 8.0e-08 5.67
33 1.4e-04 3.5e-02 8.9e-03 1.01e+00 1.668610235e+02 1.672008861e+02 7.2e-08 5.69
34 1.3e-04 3.3e-02 8.0e-03 1.01e+00 1.668850414e+02 1.671908676e+02 6.5e-08 5.72
35 1.1e-04 3.0e-02 7.2e-03 1.00e+00 1.669065788e+02 1.671817819e+02 5.8e-08 5.73
36 1.0e-04 2.8e-02 6.5e-03 1.00e+00 1.669258947e+02 1.671735449e+02 5.3e-08 5.74
37 9.3e-05 2.6e-02 5.8e-03 1.00e+00 1.669432213e+02 1.671660804e+02 4.7e-08 5.75
38 8.3e-05 2.4e-02 5.3e-03 1.00e+00 1.669587662e+02 1.671593185e+02 4.3e-08 5.76
39 7.5e-05 2.2e-02 4.7e-03 1.00e+00 1.669727150e+02 1.671531956e+02 3.8e-08 5.77
40 6.8e-05 2.1e-02 4.3e-03 1.00e+00 1.669852336e+02 1.671476530e+02 3.5e-08 5.79
41 6.1e-05 2.0e-02 3.8e-03 1.00e+00 1.669964704e+02 1.671426374e+02 3.1e-08 5.80
42 5.5e-05 1.8e-02 3.4e-03 1.00e+00 1.670065578e+02 1.671381001e+02 2.8e-08 5.81
43 4.9e-05 1.7e-02 3.1e-03 1.00e+00 1.670156147e+02 1.671339964e+02 2.5e-08 5.82
44 4.4e-05 1.6e-02 2.8e-03 1.00e+00 1.670237473e+02 1.671302861e+02 2.3e-08 5.83
45 4.0e-05 1.6e-02 2.5e-03 1.00e+00 1.670310509e+02 1.671269321e+02 2.0e-08 5.91
46 3.6e-05 1.5e-02 2.3e-03 1.00e+00 1.670376106e+02 1.671239009e+02 1.8e-08 5.93
47 3.2e-05 1.4e-02 2.0e-03 1.00e+00 1.670435030e+02 1.671211622e+02 1.7e-08 5.94
48 2.9e-05 1.4e-02 1.8e-03 1.00e+00 1.670487963e+02 1.671186882e+02 1.5e-08 5.95
49 2.6e-05 1.3e-02 1.7e-03 1.00e+00 1.670535521e+02 1.671164537e+02 1.3e-08 5.96
50 2.4e-05 1.3e-02 1.5e-03 1.00e+00 1.670578253e+02 1.671144359e+02 1.2e-08 5.98
51 2.1e-05 1.2e-02 1.3e-03 1.00e+00 1.670616652e+02 1.671126143e+02 1.1e-08 6.11
52 1.9e-05 1.2e-02 1.2e-03 1.00e+00 1.670651160e+02 1.671109699e+02 9.8e-09 6.14
53 1.7e-05 1.1e-02 1.1e-03 1.00e+00 1.670682176e+02 1.671094858e+02 8.8e-09 6.18
54 1.5e-05 1.1e-02 9.7e-04 1.00e+00 1.670710053e+02 1.671081466e+02 7.9e-09 6.19
55 1.4e-05 1.1e-02 8.8e-04 1.00e+00 1.670735112e+02 1.671069385e+02 7.1e-09 6.20
56 1.3e-05 1.0e-02 7.9e-04 1.00e+00 1.670757640e+02 1.671058485e+02 6.4e-09 6.21
57 1.1e-05 1.0e-02 7.1e-04 1.00e+00 1.670777893e+02 1.671048654e+02 5.8e-09 6.23
58 1.0e-05 1.0e-02 6.4e-04 1.00e+00 1.670796103e+02 1.671039788e+02 5.2e-09 6.24
59 9.1e-06 9.8e-03 5.8e-04 1.00e+00 1.670812477e+02 1.671031794e+02 4.7e-09 6.25
60 8.2e-06 9.6e-03 5.2e-04 1.00e+00 1.670827200e+02 1.671024587e+02 4.2e-09 6.26
61 7.4e-06 9.5e-03 4.7e-04 1.00e+00 1.670840441e+02 1.671018090e+02 3.8e-09 6.27
62 6.6e-06 9.3e-03 4.2e-04 1.00e+00 1.670852349e+02 1.671012234e+02 3.4e-09 6.28
63 6.0e-06 9.2e-03 3.8e-04 1.00e+00 1.670863059e+02 1.671006957e+02 3.1e-09 6.37
64 5.4e-06 9.1e-03 3.4e-04 1.00e+00 1.670872692e+02 1.671002201e+02 2.8e-09 6.38
65 2.0e-06 3.4e-03 1.3e-04 1.00e+00 1.670926157e+02 1.670975505e+02 1.1e-09 6.39
66 6.9e-07 1.2e-03 4.4e-05 1.00e+00 1.670947917e+02 1.670964622e+02 3.6e-10 7.53
67 6.2e-07 1.0e-03 3.9e-05 1.00e+00 1.670949061e+02 1.670964094e+02 3.2e-10 7.90
68 5.6e-07 9.4e-04 3.6e-05 1.00e+00 1.670950057e+02 1.670963586e+02 2.9e-10 9.45
69 5.0e-07 8.5e-04 3.2e-05 1.00e+00 1.670950954e+02 1.670963131e+02 2.6e-10 10.24
70 4.5e-07 7.6e-04 2.9e-05 1.00e+00 1.670951762e+02 1.670962720e+02 2.3e-10 10.25
71 4.1e-07 6.9e-04 2.6e-05 1.00e+00 1.670952488e+02 1.670962351e+02 2.1e-10 10.26
72 3.7e-07 6.2e-04 2.3e-05 1.00e+00 1.670953141e+02 1.670962017e+02 1.9e-10 10.27
73 3.3e-07 5.6e-04 2.1e-05 1.00e+00 1.670953729e+02 1.670961717e+02 1.7e-10 10.28
74 3.0e-07 5.0e-04 1.9e-05 9.99e-01 1.670954257e+02 1.670961447e+02 1.5e-10 10.29
75 2.7e-07 4.5e-04 1.7e-05 1.00e+00 1.670954733e+02 1.670961204e+02 1.4e-10 10.30
76 2.4e-07 4.1e-04 1.5e-05 1.00e+00 1.670955161e+02 1.670960984e+02 1.2e-10 11.24
77 2.2e-07 3.7e-04 1.4e-05 9.99e-01 1.670955546e+02 1.670960787e+02 1.1e-10 11.25
78 2.0e-07 3.3e-04 1.2e-05 1.00e+00 1.670955892e+02 1.670960609e+02 1.0e-10 12.04
79 1.8e-07 3.0e-04 1.1e-05 9.99e-01 1.670956204e+02 1.670960450e+02 9.1e-11 13.71
80 1.6e-07 2.7e-04 1.0e-05 9.98e-01 1.670956484e+02 1.670960306e+02 8.2e-11 14.32
81 1.4e-07 2.4e-04 9.0e-06 9.98e-01 1.670956737e+02 1.670960176e+02 7.3e-11 16.00
82 1.3e-07 2.2e-04 8.1e-06 1.00e+00 1.670956964e+02 1.670960059e+02 6.6e-11 17.86
83 1.2e-07 1.9e-04 7.3e-06 9.95e-01 1.670957169e+02 1.670959954e+02 5.9e-11 18.82
84 1.0e-07 1.7e-04 6.6e-06 9.99e-01 1.670957352e+02 1.670959860e+02 5.4e-11 20.72
85 9.3e-08 1.6e-04 5.9e-06 1.00e+00 1.670957518e+02 1.670959774e+02 4.8e-11 21.07
86 8.4e-08 1.4e-04 5.3e-06 1.00e+00 1.670957667e+02 1.670959698e+02 4.3e-11 22.23
87 7.6e-08 1.3e-04 4.8e-06 1.01e+00 1.670957805e+02 1.670959626e+02 3.9e-11 23.00
88 6.8e-08 1.1e-04 4.3e-06 1.00e+00 1.670957925e+02 1.670959564e+02 3.5e-11 23.05
89 6.1e-08 1.0e-04 3.9e-06 1.00e+00 1.670958034e+02 1.670959508e+02 3.2e-11 23.21
90 5.5e-08 9.3e-05 3.5e-06 9.98e-01 1.670958131e+02 1.670959458e+02 2.9e-11 23.22
91 5.0e-08 8.4e-05 3.1e-06 9.99e-01 1.670958218e+02 1.670959413e+02 2.6e-11 23.24
92 4.5e-08 7.5e-05 2.8e-06 1.00e+00 1.670958298e+02 1.670959372e+02 2.3e-11 23.25
93 4.0e-08 6.8e-05 2.6e-06 1.01e+00 1.670958370e+02 1.670959334e+02 2.1e-11 23.26
94 3.6e-08 6.1e-05 2.3e-06 9.92e-01 1.670958434e+02 1.670959302e+02 1.9e-11 23.27
95 3.3e-08 5.5e-05 2.1e-06 1.02e+00 1.670958495e+02 1.670959270e+02 1.7e-11 23.32
96 2.9e-08 4.9e-05 1.9e-06 9.93e-01 1.670958546e+02 1.670959244e+02 1.5e-11 23.34
97 2.6e-08 4.4e-05 1.7e-06 1.00e+00 1.670958592e+02 1.670959220e+02 1.4e-11 23.37
98 2.4e-08 4.0e-05 1.5e-06 9.72e-01 1.670958633e+02 1.670959199e+02 1.2e-11 23.38
99 2.1e-08 3.6e-05 1.4e-06 1.01e+00 1.670958672e+02 1.670959179e+02 1.1e-11 23.40
100 1.9e-08 3.2e-05 1.2e-06 1.03e+00 1.670958710e+02 1.670959159e+02 1.0e-11 23.50
101 1.7e-08 2.9e-05 1.1e-06 1.02e+00 1.670958742e+02 1.670959142e+02 9.3e-12 23.52
Interior-point optimizer terminated. Time: 23.52.
Optimizer terminated. Time: 23.53
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587424e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6709591421e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 23.5 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286499290e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264834065e+05 3.586695058e+00 4.8e-01 0.32
2 4.3e+02 5.6e+02 2.4e+04 -9.36e-01 -1.204818344e+05 1.001253306e+01 1.9e-01 1.80
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.157492273e+05 6.085660585e+01 1.3e-01 2.37
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131499765e+05 2.257753940e+03 1.3e-01 2.38
5 7.4e+01 9.6e+01 4.1e+03 -7.55e-01 -7.449019139e+04 9.842643409e+03 3.3e-02 2.39
6 3.6e+01 4.7e+01 2.0e+03 -1.90e-01 -4.726339783e+04 1.026281399e+04 1.6e-02 2.42
7 2.2e+01 2.9e+01 1.3e+03 2.77e-01 -3.297716426e+04 7.148426457e+03 9.9e-03 2.56
8 1.4e+01 1.7e+01 7.5e+02 5.32e-01 -2.145903963e+04 4.808139412e+03 6.0e-03 4.03
9 5.3e+00 6.9e+00 3.0e+02 7.21e-01 -8.768013914e+03 2.417279653e+03 2.4e-03 5.68
10 2.4e+00 3.1e+00 1.3e+02 9.13e-01 -3.743278515e+03 1.405432627e+03 1.1e-03 6.76
11 1.7e+00 2.3e+00 9.8e+01 9.75e-01 -2.706757912e+03 1.075287486e+03 7.8e-04 8.48
12 8.2e-01 1.1e+00 4.6e+01 9.83e-01 -1.189763028e+03 5.993148025e+02 3.7e-04 9.36
13 7.5e-01 1.1e+00 4.2e+01 9.48e-01 -1.109365792e+03 5.596610812e+02 3.4e-04 11.00
14 6.3e-01 8.8e-01 3.5e+01 9.86e-01 -8.799149927e+02 5.072314890e+02 2.8e-04 12.07
15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.584741346e+02 2.541998233e+02 8.4e-05 13.47
16 1.0e-01 1.7e-01 5.9e+00 1.01e+00 -1.976704883e+01 2.098852966e+02 4.7e-05 14.97
17 1.0e-01 1.7e-01 5.8e+00 1.02e+00 -1.809002187e+01 2.102290798e+02 4.7e-05 16.64
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.591140939e+01 2.106371326e+02 4.0e-05 16.92
19 4.3e-02 9.6e-02 2.5e+00 1.01e+00 9.060710193e+01 1.877231217e+02 2.0e-05 18.21
20 1.2e-02 1.9e-01 6.8e-01 1.01e+00 1.471515065e+02 1.733931943e+02 5.5e-06 18.39
21 4.3e-03 3.5e-01 2.6e-01 1.01e+00 1.590266155e+02 1.689633318e+02 2.1e-06 19.29
22 1.2e-03 1.7e-01 7.5e-02 1.01e+00 1.645644642e+02 1.674295652e+02 6.1e-07 20.57
23 6.7e-04 1.2e-01 4.2e-02 9.81e-01 1.654778556e+02 1.670872542e+02 3.5e-07 20.67
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662934704e+02 1.667797845e+02 1.1e-07 22.49
25 6.2e-05 1.1e-01 4.1e-03 1.01e+00 1.665280548e+02 1.666838939e+02 3.5e-08 24.06
26 2.0e-05 1.1e-01 1.4e-03 1.01e+00 1.666013387e+02 1.666531241e+02 1.2e-08 25.14
27 6.5e-06 1.1e-01 4.4e-04 1.00e+00 1.666261900e+02 1.666427299e+02 3.8e-09 25.17
28 2.2e-06 1.0e-01 1.5e-04 1.00e+00 1.666337606e+02 1.666395176e+02 1.3e-09 25.18
29 7.7e-07 9.7e-02 5.3e-05 1.00e+00 1.666363787e+02 1.666383684e+02 4.5e-10 25.22
30 3.4e-07 8.2e-02 2.3e-05 1.00e+00 1.666371514e+02 1.666380165e+02 2.0e-10 25.24
31 7.3e-08 1.8e-02 5.0e-06 1.00e+00 1.666376162e+02 1.666378048e+02 4.3e-11 25.35
32 6.6e-08 1.6e-02 4.5e-06 1.00e+00 1.666376302e+02 1.666378000e+02 3.9e-11 25.36
33 5.9e-08 1.6e-02 4.1e-06 1.00e+00 1.666376418e+02 1.666377946e+02 3.5e-11 25.39
34 5.3e-08 1.5e-02 3.7e-06 1.01e+00 1.666376524e+02 1.666377896e+02 3.2e-11 25.40
35 4.8e-08 1.4e-02 3.3e-06 9.87e-01 1.666376617e+02 1.666377852e+02 2.8e-11 25.44
36 4.3e-08 1.4e-02 3.0e-06 1.02e+00 1.666376709e+02 1.666377808e+02 2.6e-11 25.45
37 3.9e-08 1.3e-02 2.7e-06 1.00e+00 1.666376783e+02 1.666377773e+02 2.3e-11 25.46
38 3.5e-08 1.2e-02 2.4e-06 1.00e+00 1.666376851e+02 1.666377741e+02 2.1e-11 25.48
39 3.1e-08 1.2e-02 2.2e-06 1.02e+00 1.666376918e+02 1.666377710e+02 1.9e-11 25.49
40 2.8e-08 1.2e-02 1.9e-06 1.00e+00 1.666376972e+02 1.666377684e+02 1.7e-11 25.50
41 2.5e-08 1.1e-02 1.8e-06 1.00e+00 1.666377021e+02 1.666377661e+02 1.5e-11 25.51
42 2.3e-08 1.1e-02 1.6e-06 9.84e-01 1.666377064e+02 1.666377641e+02 1.4e-11 25.52
43 2.1e-08 1.0e-02 1.4e-06 9.50e-01 1.666377103e+02 1.666377624e+02 1.2e-11 25.53
44 1.9e-08 1.0e-02 1.3e-06 9.70e-01 1.666377138e+02 1.666377608e+02 1.1e-11 25.54
45 1.7e-08 9.1e-03 1.1e-06 1.03e+00 1.666377174e+02 1.666377590e+02 1.0e-11 25.67
46 1.5e-08 8.2e-03 1.0e-06 1.06e+00 1.666377210e+02 1.666377573e+02 9.5e-12 25.68
47 1.4e-08 8.1e-03 9.3e-07 9.95e-01 1.666377234e+02 1.666377561e+02 8.5e-12 25.69
48 1.2e-08 8.1e-03 8.4e-07 9.88e-01 1.666377257e+02 1.666377551e+02 7.7e-12 25.70
49 1.1e-08 8.0e-03 7.5e-07 9.78e-01 1.666377277e+02 1.666377542e+02 6.9e-12 25.71
50 9.9e-09 7.2e-03 6.8e-07 1.00e+00 1.666377295e+02 1.666377533e+02 6.2e-12 27.28
51 8.9e-09 6.5e-03 6.1e-07 1.06e+00 1.666377315e+02 1.666377523e+02 5.8e-12 27.47
52 8.0e-09 5.8e-03 5.5e-07 9.57e-01 1.666377329e+02 1.666377517e+02 5.2e-12 28.81
53 7.2e-09 5.2e-03 4.9e-07 1.02e+00 1.666377343e+02 1.666377510e+02 4.7e-12 29.75
54 3.9e-09 3.0e-04 2.9e-08 9.06e-01 1.666377453e+02 1.666377463e+02 4.6e-13 31.53
Interior-point optimizer terminated. Time: 31.53.
Optimizer terminated. Time: 31.54
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774531e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6663774632e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 31.6 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.02 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.01
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286106758e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264422998e+05 3.580364862e+00 4.8e-01 1.66
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.203332265e+05 1.010636723e+01 1.9e-01 3.25
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.156664723e+05 6.247804257e+01 1.3e-01 3.95
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.130152818e+05 2.295884623e+03 1.3e-01 5.31
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.379603657e+04 9.860981990e+03 3.2e-02 6.24
6 3.6e+01 4.6e+01 2.0e+03 -1.80e-01 -4.641913551e+04 1.009611447e+04 1.6e-02 7.33
7 2.1e+01 2.7e+01 1.2e+03 2.91e-01 -3.097467646e+04 6.886212454e+03 9.2e-03 7.34
8 1.2e+01 1.6e+01 6.8e+02 5.65e-01 -1.945487034e+04 4.491372661e+03 5.4e-03 7.38
9 4.7e+00 6.1e+00 2.6e+02 7.53e-01 -7.765152159e+03 2.180676656e+03 2.1e-03 9.19
10 2.3e+00 3.0e+00 1.3e+02 9.26e-01 -3.530372594e+03 1.395529723e+03 1.0e-03 10.28
11 1.5e+00 1.9e+00 8.5e+01 9.77e-01 -2.301317697e+03 9.721200999e+02 6.7e-04 10.72
12 8.5e-01 1.1e+00 4.8e+01 9.85e-01 -1.230530101e+03 6.224921349e+02 3.8e-04 11.38
13 7.5e-01 1.0e+00 4.2e+01 9.54e-01 -1.093830955e+03 5.630528805e+02 3.4e-04 12.91
14 3.7e-01 5.0e-01 2.1e+01 9.85e-01 -4.359007055e+02 3.737949762e+02 1.6e-04 14.28
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.439999913e+02 2.585349239e+02 8.2e-05 15.92
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 4.980073133e+00 2.043015160e+02 4.1e-05 17.44
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.398832685e+01 2.065699249e+02 4.0e-05 18.85
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 5.949228018e+01 1.948373498e+02 2.8e-05 19.79
19 3.0e-02 7.3e-02 1.7e+00 1.01e+00 1.152798144e+02 1.809927734e+02 1.4e-05 20.90
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.525612429e+02 1.716191978e+02 4.0e-06 22.07
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622330943e+02 1.679611410e+02 1.2e-06 23.13
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639702649e+02 1.674409718e+02 7.3e-07 24.28
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656550173e+02 1.668671103e+02 2.6e-07 25.66
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661959804e+02 1.666660327e+02 1.0e-07 27.26
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662326090e+02 1.666555346e+02 9.2e-08 29.27
26 1.6e-04 7.9e-02 1.0e-02 1.01e+00 1.662628638e+02 1.666433548e+02 8.3e-08 30.80
27 1.4e-04 7.2e-02 9.0e-03 1.01e+00 1.662902745e+02 1.666326037e+02 7.5e-08 32.71
28 1.3e-04 6.6e-02 8.1e-03 1.01e+00 1.663148182e+02 1.666228209e+02 6.7e-08 33.32
29 1.2e-04 6.0e-02 7.3e-03 1.01e+00 1.663368447e+02 1.666139699e+02 6.0e-08 33.94
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663566062e+02 1.666059555e+02 5.4e-08 35.88
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663743377e+02 1.665987001e+02 4.9e-08 37.18
32 8.5e-05 4.6e-02 5.3e-03 1.01e+00 1.663902484e+02 1.665921321e+02 4.4e-08 39.05
33 7.6e-05 4.2e-02 4.8e-03 1.01e+00 1.664045263e+02 1.665861872e+02 4.0e-08 40.43
34 6.9e-05 3.8e-02 4.3e-03 1.01e+00 1.664173403e+02 1.665808072e+02 3.6e-08 41.74
35 6.2e-05 3.5e-02 3.9e-03 1.01e+00 1.664288416e+02 1.665759392e+02 3.2e-08 42.38
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664391659e+02 1.665715356e+02 2.9e-08 43.88
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664484347e+02 1.665675528e+02 2.6e-08 44.81
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664567567e+02 1.665639513e+02 2.3e-08 46.12
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664642296e+02 1.665606954e+02 2.1e-08 46.97
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664709407e+02 1.665577524e+02 1.9e-08 48.33
41 3.3e-05 2.2e-02 2.1e-03 1.00e+00 1.664769682e+02 1.665550928e+02 1.7e-08 50.10
42 2.9e-05 2.1e-02 1.9e-03 1.00e+00 1.664823823e+02 1.665526899e+02 1.5e-08 51.41
43 2.7e-05 2.0e-02 1.7e-03 1.00e+00 1.664872460e+02 1.665505191e+02 1.4e-08 51.42
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664916156e+02 1.665485585e+02 1.2e-08 53.20
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664955418e+02 1.665467882e+02 1.1e-08 53.55
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664990698e+02 1.665451898e+02 1.0e-08 53.56
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665022404e+02 1.665437471e+02 9.1e-09 53.57
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665050902e+02 1.665424452e+02 8.2e-09 53.57
49 1.4e-05 1.4e-02 8.9e-04 1.00e+00 1.665076519e+02 1.665412706e+02 7.4e-09 53.59
50 1.3e-05 1.3e-02 8.0e-04 1.00e+00 1.665099548e+02 1.665402110e+02 6.6e-09 53.61
51 1.1e-05 1.3e-02 7.2e-04 1.00e+00 1.665120253e+02 1.665392556e+02 6.0e-09 53.63
52 1.0e-05 1.2e-02 6.5e-04 1.00e+00 1.665138870e+02 1.665383940e+02 5.4e-09 53.65
53 9.3e-06 1.2e-02 5.8e-04 1.00e+00 1.665155613e+02 1.665376174e+02 4.8e-09 53.66
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665170670e+02 1.665369173e+02 4.4e-09 53.69
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665184212e+02 1.665362864e+02 3.9e-09 53.78
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665196392e+02 1.665357180e+02 3.5e-09 54.09
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665207349e+02 1.665352058e+02 3.2e-09 54.10
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217204e+02 1.665347442e+02 2.9e-09 54.13
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226070e+02 1.665343284e+02 2.6e-09 54.17
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234044e+02 1.665339538e+02 2.3e-09 54.18
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241218e+02 1.665336162e+02 2.1e-09 54.19
62 3.6e-06 9.5e-03 2.3e-04 1.00e+00 1.665247670e+02 1.665333120e+02 1.9e-09 54.20
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253473e+02 1.665330378e+02 1.7e-09 54.29
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665258693e+02 1.665327908e+02 1.5e-09 54.35
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263388e+02 1.665325682e+02 1.4e-09 54.36
66 2.4e-06 9.0e-03 1.5e-04 1.00e+00 1.665267611e+02 1.665323676e+02 1.2e-09 54.37
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271410e+02 1.665321869e+02 1.1e-09 54.37
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665274828e+02 1.665320241e+02 1.0e-09 54.38
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665277902e+02 1.665318775e+02 9.0e-10 54.43
70 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.665280668e+02 1.665317453e+02 8.1e-10 54.44
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283157e+02 1.665316263e+02 7.3e-10 54.45
72 1.3e-06 8.5e-03 7.9e-05 1.00e+00 1.665285395e+02 1.665315191e+02 6.5e-10 54.46
73 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.665287409e+02 1.665314226e+02 5.9e-10 54.48
74 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.665289220e+02 1.665313355e+02 5.3e-10 54.49
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290850e+02 1.665312571e+02 4.8e-10 54.50
76 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.665292315e+02 1.665311864e+02 4.3e-10 54.51
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293633e+02 1.665311228e+02 3.9e-10 54.52
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294819e+02 1.665310654e+02 3.5e-10 54.53
79 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.665295885e+02 1.665310137e+02 3.1e-10 54.54
80 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.665296844e+02 1.665309671e+02 2.8e-10 54.55
81 4.8e-07 8.1e-03 3.0e-05 9.98e-01 1.665297706e+02 1.665309252e+02 2.5e-10 54.56
82 4.4e-07 8.1e-03 2.7e-05 9.99e-01 1.665298482e+02 1.665308873e+02 2.3e-10 54.57
83 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.665299179e+02 1.665308532e+02 2.1e-10 54.58
84 3.5e-07 8.0e-03 2.2e-05 9.99e-01 1.665299806e+02 1.665308224e+02 1.8e-10 54.66
85 3.2e-07 8.0e-03 2.0e-05 9.98e-01 1.665300370e+02 1.665307947e+02 1.7e-10 54.67
86 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.665300877e+02 1.665307696e+02 1.5e-10 54.78
87 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.665301334e+02 1.665307470e+02 1.3e-10 54.79
88 2.3e-07 7.9e-03 1.5e-05 9.97e-01 1.665301744e+02 1.665307268e+02 1.2e-10 54.81
89 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.665302113e+02 1.665307084e+02 1.1e-10 54.82
90 1.9e-07 7.9e-03 1.2e-05 9.99e-01 1.665302446e+02 1.665306919e+02 9.8e-11 54.87
91 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.665302744e+02 1.665306771e+02 8.8e-11 54.88
92 1.5e-07 7.1e-03 9.6e-06 1.01e+00 1.665303018e+02 1.665306634e+02 8.0e-11 54.89
93 1.4e-07 6.4e-03 8.6e-06 9.97e-01 1.665303259e+02 1.665306514e+02 7.2e-11 54.90
94 1.2e-07 5.7e-03 7.7e-06 9.97e-01 1.665303476e+02 1.665306406e+02 6.5e-11 54.94
95 1.1e-07 5.2e-03 7.0e-06 9.99e-01 1.665303672e+02 1.665306309e+02 5.8e-11 54.99
96 1.0e-07 4.7e-03 6.3e-06 9.88e-01 1.665303847e+02 1.665306222e+02 5.2e-11 55.00
97 9.0e-08 4.2e-03 5.6e-06 9.80e-01 1.665304005e+02 1.665306144e+02 4.7e-11 55.11
98 8.1e-08 3.8e-03 5.1e-06 9.96e-01 1.665304148e+02 1.665306073e+02 4.2e-11 55.14
99 7.3e-08 3.4e-03 4.6e-06 1.01e+00 1.665304280e+02 1.665306006e+02 3.8e-11 55.15
100 6.5e-08 3.1e-03 4.1e-06 9.95e-01 1.665304395e+02 1.665305949e+02 3.4e-11 55.16
101 5.9e-08 2.7e-03 3.7e-06 1.01e+00 1.665304502e+02 1.665305895e+02 3.1e-11 55.17
102 5.3e-08 2.5e-03 3.3e-06 9.83e-01 1.665304595e+02 1.665305849e+02 2.8e-11 55.18
103 4.8e-08 2.2e-03 3.0e-06 9.88e-01 1.665304678e+02 1.665305808e+02 2.5e-11 55.19
104 4.3e-08 2.0e-03 2.7e-06 9.91e-01 1.665304753e+02 1.665305770e+02 2.3e-11 55.21
105 3.9e-08 1.8e-03 2.4e-06 1.03e+00 1.665304829e+02 1.665305731e+02 2.1e-11 55.22
106 3.5e-08 1.6e-03 2.2e-06 1.02e+00 1.665304894e+02 1.665305698e+02 1.9e-11 55.24
107 3.1e-08 1.5e-03 2.0e-06 9.74e-01 1.665304947e+02 1.665305672e+02 1.7e-11 55.25
108 2.8e-08 1.3e-03 1.8e-06 1.01e+00 1.665304998e+02 1.665305646e+02 1.5e-11 55.27
109 2.5e-08 1.2e-03 1.6e-06 1.01e+00 1.665305043e+02 1.665305623e+02 1.4e-11 55.29
110 2.3e-08 1.1e-03 1.4e-06 1.03e+00 1.665305087e+02 1.665305601e+02 1.3e-11 55.30
111 2.1e-08 9.6e-04 1.3e-06 1.07e+00 1.665305132e+02 1.665305577e+02 1.2e-11 55.31
112 1.8e-08 8.6e-04 1.2e-06 9.77e-01 1.665305162e+02 1.665305563e+02 1.1e-11 55.32
113 1.7e-08 7.8e-04 1.0e-06 1.04e+00 1.665305193e+02 1.665305546e+02 9.7e-12 55.33
114 1.5e-08 7.0e-04 9.4e-07 1.07e+00 1.665305224e+02 1.665305530e+02 9.0e-12 55.35
115 1.4e-08 6.3e-04 8.5e-07 9.73e-01 1.665305245e+02 1.665305521e+02 8.1e-12 55.42
116 1.2e-08 5.7e-04 7.6e-07 9.36e-01 1.665305263e+02 1.665305512e+02 7.3e-12 55.44
117 1.1e-08 5.1e-04 6.9e-07 1.06e+00 1.665305284e+02 1.665305501e+02 6.8e-12 55.69
118 9.9e-09 4.6e-04 6.2e-07 1.14e+00 1.665305308e+02 1.665305488e+02 6.5e-12 55.70
119 9.0e-09 4.1e-04 5.6e-07 9.53e-01 1.665305320e+02 1.665305482e+02 5.9e-12 55.71
120 8.1e-09 3.7e-04 5.0e-07 9.97e-01 1.665305331e+02 1.665305477e+02 5.3e-12 55.73
121 7.2e-09 3.3e-04 4.5e-07 9.67e-01 1.665305341e+02 1.665305473e+02 4.8e-12 55.78
122 6.5e-09 3.0e-04 4.1e-07 8.97e-01 1.665305350e+02 1.665305469e+02 4.3e-12 55.79
123 6.0e-09 2.7e-04 3.6e-07 1.16e+00 1.665305363e+02 1.665305461e+02 4.2e-12 55.80
124 5.5e-09 2.4e-04 3.3e-07 1.32e+00 1.665305370e+02 1.665305457e+02 3.7e-12 55.81
125 5.0e-09 2.2e-04 3.0e-07 1.42e+00 1.665305377e+02 1.665305453e+02 3.4e-12 55.82
126 4.7e-09 2.0e-04 2.7e-07 1.12e+00 1.665305385e+02 1.665305449e+02 3.2e-12 55.83
127 4.3e-09 1.8e-04 2.4e-07 8.95e-01 1.665305389e+02 1.665305447e+02 2.9e-12 55.84
128 1.1e-09 3.6e-05 4.8e-08 1.02e+00 1.665305422e+02 1.665305433e+02 5.6e-13 55.85
Interior-point optimizer terminated. Time: 55.85.
Optimizer terminated. Time: 55.86
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054215e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.6653054330e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 55.9 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286069778e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264280200e+05 3.575762142e+00 4.8e-01 0.54
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.202642676e+05 1.018055328e+01 1.9e-01 2.32
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.155864715e+05 6.348044130e+01 1.2e-01 2.57
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.129604584e+05 2.275516312e+03 1.2e-01 3.66
5 7.5e+01 9.6e+01 4.2e+03 -7.53e-01 -7.467558244e+04 9.661839038e+03 3.3e-02 4.03
6 3.3e+01 4.2e+01 1.8e+03 -1.93e-01 -4.344554564e+04 1.030574211e+04 1.4e-02 4.06
7 1.9e+01 2.5e+01 1.1e+03 3.43e-01 -2.866889250e+04 6.921960135e+03 8.5e-03 4.07
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.820597301e+04 4.395197584e+03 5.0e-03 4.08
9 4.5e+00 5.8e+00 2.5e+02 7.73e-01 -7.371165888e+03 2.103307757e+03 2.0e-03 4.13
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.214980357e+03 1.325820274e+03 9.3e-04 4.14
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.014760483e+03 8.899257992e+02 6.0e-04 4.16
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.165865262e+03 6.060207152e+02 3.6e-04 4.17
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.120384096e+02 5.060706389e+02 2.9e-04 4.18
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.191567892e+02 3.802516378e+02 1.6e-04 4.19
15 1.8e-01 2.4e-01 1.0e+01 9.93e-01 -1.346821954e+02 2.582581541e+02 8.0e-05 4.20
16 7.9e-02 1.4e-01 4.6e+00 1.01e+00 2.126966139e+01 1.996174135e+02 3.7e-05 4.21
17 6.8e-02 1.2e-01 3.9e+00 1.02e+00 4.474562897e+01 1.978706979e+02 3.2e-05 4.22
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.178067455e+02 1.806432369e+02 1.3e-05 4.33
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.531919050e+02 1.714399767e+02 3.8e-06 4.36
20 2.9e-03 2.3e-01 1.7e-01 1.00e+00 1.613908100e+02 1.680583003e+02 1.4e-06 4.37
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635873535e+02 1.674597232e+02 8.2e-07 4.38
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656228428e+02 1.668056732e+02 2.5e-07 4.39
23 1.9e-04 1.0e-01 1.2e-02 1.01e+00 1.661603124e+02 1.666050793e+02 9.7e-08 5.04
24 8.5e-05 8.7e-02 5.4e-03 1.01e+00 1.663313901e+02 1.665357213e+02 4.5e-08 5.06
25 3.9e-05 7.9e-02 2.5e-03 1.01e+00 1.664099297e+02 1.665032792e+02 2.1e-08 6.71
26 3.5e-05 7.2e-02 2.2e-03 1.01e+00 1.664180658e+02 1.665021048e+02 1.9e-08 7.31
27 3.1e-05 6.6e-02 2.0e-03 1.01e+00 1.664237761e+02 1.664993824e+02 1.7e-08 7.83
28 2.8e-05 6.0e-02 1.8e-03 1.01e+00 1.664290437e+02 1.664970748e+02 1.5e-08 8.49
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664337567e+02 1.664949720e+02 1.4e-08 8.57
30 2.3e-05 5.0e-02 1.5e-03 1.01e+00 1.664379931e+02 1.664930766e+02 1.2e-08 8.58
31 2.1e-05 4.6e-02 1.3e-03 1.00e+00 1.664417983e+02 1.664913651e+02 1.1e-08 8.59
32 1.8e-05 4.2e-02 1.2e-03 1.00e+00 1.664452170e+02 1.664898204e+02 1.0e-08 8.60
33 1.7e-05 3.9e-02 1.1e-03 1.00e+00 1.664482889e+02 1.664884264e+02 9.0e-09 8.61
34 1.5e-05 3.6e-02 9.6e-04 1.00e+00 1.664510494e+02 1.664871686e+02 8.1e-09 8.62
35 1.3e-05 3.3e-02 8.6e-04 1.00e+00 1.664535304e+02 1.664860340e+02 7.3e-09 8.63
36 1.2e-05 3.0e-02 7.8e-04 1.00e+00 1.664557603e+02 1.664850107e+02 6.5e-09 8.64
37 1.1e-05 2.8e-02 7.0e-04 1.00e+00 1.664577649e+02 1.664840879e+02 5.9e-09 8.66
38 9.8e-06 2.6e-02 6.3e-04 1.00e+00 1.664595670e+02 1.664832558e+02 5.3e-09 8.70
39 8.8e-06 2.4e-02 5.7e-04 1.00e+00 1.664611874e+02 1.664825058e+02 4.8e-09 8.70
40 8.0e-06 2.3e-02 5.1e-04 1.00e+00 1.664626443e+02 1.664818296e+02 4.3e-09 8.71
41 7.2e-06 2.1e-02 4.6e-04 1.00e+00 1.664639546e+02 1.664812204e+02 3.9e-09 8.72
42 6.4e-06 2.0e-02 4.1e-04 1.00e+00 1.664651329e+02 1.664806714e+02 3.5e-09 8.74
43 5.8e-06 1.9e-02 3.7e-04 1.00e+00 1.664661927e+02 1.664801767e+02 3.1e-09 8.75
44 5.2e-06 1.7e-02 3.3e-04 1.00e+00 1.664671460e+02 1.664797311e+02 2.8e-09 8.76
45 4.7e-06 1.6e-02 3.0e-04 1.00e+00 1.664680035e+02 1.664793297e+02 2.5e-09 8.77
46 4.2e-06 1.6e-02 2.7e-04 1.00e+00 1.664687748e+02 1.664789681e+02 2.3e-09 8.78
47 3.8e-06 1.5e-02 2.4e-04 1.00e+00 1.664694687e+02 1.664786424e+02 2.1e-09 8.79
48 3.4e-06 1.4e-02 2.2e-04 1.00e+00 1.664700929e+02 1.664783490e+02 1.8e-09 8.80
49 3.1e-06 1.3e-02 2.0e-04 1.00e+00 1.664706544e+02 1.664780848e+02 1.7e-09 8.81
50 2.8e-06 1.3e-02 1.8e-04 1.00e+00 1.664711595e+02 1.664778468e+02 1.5e-09 8.82
51 2.5e-06 1.2e-02 1.6e-04 1.00e+00 1.664716140e+02 1.664776325e+02 1.3e-09 8.83
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664720229e+02 1.664774395e+02 1.2e-09 8.84
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664723909e+02 1.664772658e+02 1.1e-09 8.85
54 1.8e-06 1.1e-02 1.2e-04 1.00e+00 1.664727221e+02 1.664771093e+02 9.8e-10 8.87
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664730201e+02 1.664769686e+02 8.8e-10 9.01
56 1.5e-06 1.0e-02 9.4e-05 1.00e+00 1.664732882e+02 1.664768419e+02 8.0e-10 9.02
57 1.3e-06 1.0e-02 8.5e-05 1.00e+00 1.664735296e+02 1.664767279e+02 7.2e-10 9.03
58 1.2e-06 9.9e-03 7.6e-05 1.00e+00 1.664737467e+02 1.664766253e+02 6.5e-10 9.05
59 1.1e-06 9.6e-03 6.9e-05 1.00e+00 1.664739422e+02 1.664765328e+02 5.8e-10 10.60
60 9.7e-07 9.4e-03 6.2e-05 1.00e+00 1.664741181e+02 1.664764497e+02 5.2e-10 10.64
61 8.7e-07 9.2e-03 5.6e-05 1.00e+00 1.664742764e+02 1.664763748e+02 4.7e-10 10.65
62 7.8e-07 9.1e-03 5.0e-05 1.00e+00 1.664744188e+02 1.664763073e+02 4.2e-10 10.66
63 7.1e-07 8.9e-03 4.5e-05 1.00e+00 1.664745469e+02 1.664762467e+02 3.8e-10 10.67
64 6.3e-07 8.8e-03 4.1e-05 1.00e+00 1.664746622e+02 1.664761920e+02 3.4e-10 10.68
65 5.7e-07 8.7e-03 3.7e-05 1.00e+00 1.664747660e+02 1.664761427e+02 3.1e-10 10.69
66 5.1e-07 8.6e-03 3.3e-05 1.00e+00 1.664748593e+02 1.664760984e+02 2.8e-10 10.70
67 4.6e-07 8.5e-03 3.0e-05 1.00e+00 1.664749432e+02 1.664760584e+02 2.5e-10 10.72
68 4.2e-07 8.4e-03 2.7e-05 1.00e+00 1.664750187e+02 1.664760223e+02 2.2e-10 10.77
69 3.7e-07 8.3e-03 2.4e-05 1.00e+00 1.664750867e+02 1.664759899e+02 2.0e-10 10.78
70 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664751478e+02 1.664759606e+02 1.8e-10 10.79
71 3.0e-07 8.2e-03 1.9e-05 9.99e-01 1.664752027e+02 1.664759343e+02 1.6e-10 10.80
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752522e+02 1.664759105e+02 1.5e-10 10.81
73 2.5e-07 8.1e-03 1.6e-05 1.00e+00 1.664752967e+02 1.664758892e+02 1.3e-10 10.82
74 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664753368e+02 1.664758699e+02 1.2e-10 10.83
75 2.0e-07 8.0e-03 1.3e-05 9.99e-01 1.664753728e+02 1.664758526e+02 1.1e-10 10.84
76 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.664754052e+02 1.664758370e+02 9.7e-11 10.85
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754343e+02 1.664758230e+02 8.7e-11 10.86
78 1.5e-07 7.8e-03 9.3e-06 1.00e+00 1.664754606e+02 1.664758104e+02 7.8e-11 10.94
79 1.3e-07 7.8e-03 8.4e-06 1.00e+00 1.664754842e+02 1.664757990e+02 7.1e-11 10.95
80 1.2e-07 7.8e-03 7.5e-06 1.00e+00 1.664755054e+02 1.664757887e+02 6.4e-11 10.96
81 1.1e-07 7.7e-03 6.8e-06 9.97e-01 1.664755245e+02 1.664757796e+02 5.7e-11 10.97
82 9.5e-08 7.7e-03 6.1e-06 9.96e-01 1.664755417e+02 1.664757713e+02 5.1e-11 10.98
83 8.6e-08 7.7e-03 5.5e-06 1.00e+00 1.664755572e+02 1.664757638e+02 4.6e-11 10.98
84 7.7e-08 7.7e-03 4.9e-06 1.00e+00 1.664755711e+02 1.664757571e+02 4.2e-11 10.99
85 6.9e-08 7.6e-03 4.4e-06 9.96e-01 1.664755837e+02 1.664757511e+02 3.8e-11 11.00
86 6.2e-08 6.9e-03 4.0e-06 1.00e+00 1.664755950e+02 1.664757455e+02 3.4e-11 11.01
87 5.6e-08 6.2e-03 3.6e-06 1.00e+00 1.664756052e+02 1.664757406e+02 3.0e-11 11.10
88 5.1e-08 5.6e-03 3.2e-06 1.00e+00 1.664756144e+02 1.664757362e+02 2.7e-11 11.11
89 4.6e-08 5.0e-03 2.9e-06 1.01e+00 1.664756228e+02 1.664757321e+02 2.5e-11 11.14
90 4.1e-08 4.5e-03 2.6e-06 1.01e+00 1.664756305e+02 1.664757283e+02 2.2e-11 11.16
91 3.7e-08 4.1e-03 2.4e-06 1.01e+00 1.664756375e+02 1.664757249e+02 2.0e-11 11.20
92 3.3e-08 3.7e-03 2.1e-06 1.00e+00 1.664756434e+02 1.664757221e+02 1.8e-11 11.21
93 3.0e-08 3.3e-03 1.9e-06 1.00e+00 1.664756488e+02 1.664757195e+02 1.6e-11 11.22
94 2.7e-08 3.0e-03 1.7e-06 1.01e+00 1.664756537e+02 1.664757171e+02 1.5e-11 11.23
95 2.4e-08 2.7e-03 1.5e-06 1.00e+00 1.664756580e+02 1.664757150e+02 1.3e-11 11.24
96 2.2e-08 2.4e-03 1.4e-06 9.94e-01 1.664756619e+02 1.664757132e+02 1.2e-11 11.25
97 2.0e-08 2.2e-03 1.3e-06 1.00e+00 1.664756653e+02 1.664757115e+02 1.1e-11 11.26
98 1.8e-08 1.9e-03 1.1e-06 1.01e+00 1.664756686e+02 1.664757099e+02 9.8e-12 11.27
99 1.6e-08 1.7e-03 1.0e-06 1.00e+00 1.664756714e+02 1.664757086e+02 8.8e-12 11.28
100 1.4e-08 1.6e-03 9.2e-07 1.00e+00 1.664756739e+02 1.664757074e+02 7.9e-12 11.29
101 1.3e-08 1.4e-03 8.2e-07 1.01e+00 1.664756762e+02 1.664757062e+02 7.2e-12 11.30
102 1.2e-08 1.3e-03 7.4e-07 1.03e+00 1.664756785e+02 1.664757051e+02 6.5e-12 11.30
103 1.0e-08 1.1e-03 6.7e-07 9.72e-01 1.664756803e+02 1.664757043e+02 5.9e-12 11.31
104 9.4e-09 1.0e-03 6.0e-07 1.04e+00 1.664756822e+02 1.664757033e+02 5.4e-12 11.39
105 4.2e-09 1.2e-04 7.1e-08 1.03e+00 1.664756947e+02 1.664756972e+02 5.7e-13 11.40
Interior-point optimizer terminated. Time: 11.40.
Optimizer terminated. Time: 11.41
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569475e+02 Viol. con: 9e-08 var: 0e+00
Dual. obj: 1.6647569717e+02 Viol. con: 0e+00 var: 8e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 11.4 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.02 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.01
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285358115e+05 2.000000000e+00 1.0e+00 0.03
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263542083e+05 3.574445404e+00 4.8e-01 0.04
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201588458e+05 1.021567339e+01 1.9e-01 0.05
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154718915e+05 6.399970542e+01 1.2e-01 0.06
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.128613762e+05 2.263785747e+03 1.2e-01 0.07
5 7.5e+01 9.7e+01 4.2e+03 -7.52e-01 -7.480744684e+04 9.600129652e+03 3.3e-02 0.08
6 3.0e+01 3.9e+01 1.7e+03 -1.96e-01 -4.068262593e+04 1.026881580e+04 1.3e-02 0.09
7 1.8e+01 2.3e+01 1.0e+03 3.91e-01 -2.712654963e+04 6.680851244e+03 7.9e-03 0.10
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.569361648e+04 3.889215262e+03 4.3e-03 0.11
9 3.9e+00 5.0e+00 2.2e+02 8.12e-01 -6.429972789e+03 1.893874232e+03 1.7e-03 0.12
10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.286676855e+03 1.204165008e+03 9.2e-04 0.13
11 1.0e+00 1.3e+00 5.9e+01 9.80e-01 -1.544944151e+03 7.355126822e+02 4.7e-04 0.14
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.184097946e+03 6.013197998e+02 3.6e-04 0.15
13 4.8e-01 6.2e-01 2.7e+01 9.74e-01 -6.380895240e+02 4.207578530e+02 2.1e-04 0.16
14 2.6e-01 3.6e-01 1.5e+01 1.00e+00 -2.718688382e+02 3.084886833e+02 1.2e-04 0.18
15 9.7e-02 1.5e-01 5.5e+00 1.00e+00 -1.010334731e+01 2.072405767e+02 4.5e-05 0.19
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.582590164e+01 2.085964032e+02 4.0e-05 0.20
17 5.3e-02 8.8e-02 3.1e+00 1.02e+00 7.254126103e+01 1.918843181e+02 2.5e-05 0.21
18 2.3e-02 6.9e-02 1.3e+00 1.02e+00 1.266775562e+02 1.778036143e+02 1.1e-05 0.22
19 6.2e-03 2.3e-01 3.7e-01 1.01e+00 1.562553479e+02 1.702790053e+02 2.9e-06 0.23
20 3.1e-03 3.1e-01 1.8e-01 1.00e+00 1.610363415e+02 1.681100314e+02 1.5e-06 0.24
21 1.6e-03 1.7e-01 9.8e-02 1.01e+00 1.636144807e+02 1.673813750e+02 8.0e-07 0.25
22 4.9e-04 1.4e-01 3.0e-02 1.01e+00 1.656242787e+02 1.667725311e+02 2.5e-07 0.25
23 3.1e-04 1.1e-01 1.9e-02 9.98e-01 1.659258686e+02 1.666521392e+02 1.6e-07 0.27
24 1.9e-04 7.7e-02 1.2e-02 9.85e-01 1.661267281e+02 1.665737784e+02 9.7e-08 0.28
25 1.7e-04 6.6e-02 1.0e-02 9.99e-01 1.661696481e+02 1.665612792e+02 8.5e-08 0.29
26 1.5e-04 6.0e-02 9.3e-03 1.01e+00 1.661982656e+02 1.665504919e+02 7.7e-08 0.30
27 1.3e-04 5.5e-02 8.4e-03 1.01e+00 1.662230834e+02 1.665399596e+02 6.9e-08 0.30
28 1.2e-04 5.0e-02 7.5e-03 1.01e+00 1.662455594e+02 1.665306799e+02 6.2e-08 0.31
29 1.1e-04 4.6e-02 6.8e-03 1.01e+00 1.662656956e+02 1.665222480e+02 5.6e-08 0.33
30 9.8e-05 4.2e-02 6.1e-03 1.01e+00 1.662837694e+02 1.665146212e+02 5.0e-08 0.34
31 8.8e-05 3.8e-02 5.5e-03 1.01e+00 1.662999877e+02 1.665077175e+02 4.5e-08 0.35
32 7.9e-05 3.5e-02 4.9e-03 1.01e+00 1.663145427e+02 1.665014698e+02 4.1e-08 0.36
33 7.1e-05 3.3e-02 4.4e-03 1.00e+00 1.663276057e+02 1.664958161e+02 3.7e-08 0.37
34 6.4e-05 3.0e-02 4.0e-03 1.00e+00 1.663393304e+02 1.664907006e+02 3.3e-08 0.38
35 5.8e-05 2.8e-02 3.6e-03 1.00e+00 1.663498549e+02 1.664860727e+02 3.0e-08 0.41
36 5.2e-05 2.6e-02 3.2e-03 1.00e+00 1.663593031e+02 1.664818868e+02 2.7e-08 0.43
37 4.7e-05 2.4e-02 2.9e-03 1.00e+00 1.663677859e+02 1.664781015e+02 2.4e-08 0.43
38 4.2e-05 2.2e-02 2.6e-03 1.00e+00 1.663754028e+02 1.664746791e+02 2.2e-08 0.44
39 3.8e-05 2.1e-02 2.4e-03 1.00e+00 1.663822428e+02 1.664715854e+02 2.0e-08 0.45
40 3.4e-05 1.9e-02 2.1e-03 1.00e+00 1.663883859e+02 1.664687894e+02 1.8e-08 0.46
41 3.1e-05 1.8e-02 1.9e-03 1.00e+00 1.663939035e+02 1.664662629e+02 1.6e-08 0.48
42 2.8e-05 1.7e-02 1.7e-03 1.00e+00 1.663988597e+02 1.664639802e+02 1.4e-08 0.49
43 2.5e-05 1.6e-02 1.6e-03 1.00e+00 1.664033120e+02 1.664619182e+02 1.3e-08 0.50
44 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664073118e+02 1.664600557e+02 1.2e-08 0.51
45 2.0e-05 1.5e-02 1.3e-03 1.00e+00 1.664109054e+02 1.664583736e+02 1.0e-08 0.52
46 1.8e-05 1.4e-02 1.1e-03 1.00e+00 1.664141343e+02 1.664568546e+02 9.4e-09 0.53
47 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664170356e+02 1.664554832e+02 8.4e-09 0.54
48 1.5e-05 1.3e-02 9.2e-04 1.00e+00 1.664196428e+02 1.664542450e+02 7.6e-09 0.55
49 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664219858e+02 1.664531274e+02 6.8e-09 0.56
50 1.2e-05 1.2e-02 7.4e-04 1.00e+00 1.664240915e+02 1.664521187e+02 6.2e-09 0.57
51 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.664259842e+02 1.664512084e+02 5.5e-09 0.58
52 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664276854e+02 1.664503871e+02 5.0e-09 0.59
53 8.6e-06 1.1e-02 5.4e-04 1.00e+00 1.664292146e+02 1.664496461e+02 4.5e-09 0.59
54 7.8e-06 1.0e-02 4.9e-04 1.00e+00 1.664305894e+02 1.664489777e+02 4.0e-09 0.60
55 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318254e+02 1.664483749e+02 3.6e-09 0.61
56 6.3e-06 9.9e-03 3.9e-04 1.00e+00 1.664329366e+02 1.664478312e+02 3.3e-09 0.63
57 5.7e-06 9.7e-03 3.5e-04 1.00e+00 1.664339358e+02 1.664473410e+02 2.9e-09 0.64
58 5.1e-06 9.6e-03 3.2e-04 1.00e+00 1.664348342e+02 1.664468989e+02 2.7e-09 0.65
59 4.6e-06 9.4e-03 2.9e-04 1.00e+00 1.664356420e+02 1.664465004e+02 2.4e-09 0.66
60 4.1e-06 9.2e-03 2.6e-04 1.00e+00 1.664363685e+02 1.664461411e+02 2.1e-09 0.66
61 3.7e-06 9.1e-03 2.3e-04 1.00e+00 1.664370217e+02 1.664458171e+02 1.9e-09 0.68
62 3.3e-06 9.0e-03 2.1e-04 1.00e+00 1.664376091e+02 1.664455251e+02 1.7e-09 0.69
63 3.0e-06 8.9e-03 1.9e-04 1.00e+00 1.664381373e+02 1.664452617e+02 1.6e-09 0.70
64 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386123e+02 1.664450244e+02 1.4e-09 0.71
65 2.4e-06 8.7e-03 1.5e-04 1.00e+00 1.664390396e+02 1.664448105e+02 1.3e-09 0.83
66 2.2e-06 8.6e-03 1.4e-04 1.00e+00 1.664394240e+02 1.664446178e+02 1.1e-09 0.84
67 2.0e-06 8.5e-03 1.2e-04 1.00e+00 1.664397697e+02 1.664444442e+02 1.0e-09 0.85
68 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400807e+02 1.664442879e+02 9.3e-10 0.94
69 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403605e+02 1.664441471e+02 8.3e-10 0.95
70 1.4e-06 8.3e-03 9.0e-05 1.00e+00 1.664406123e+02 1.664440202e+02 7.5e-10 0.99
71 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408387e+02 1.664439059e+02 6.7e-10 1.00
72 1.2e-06 8.2e-03 7.3e-05 1.00e+00 1.664410425e+02 1.664438030e+02 6.1e-10 1.01
73 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412258e+02 1.664437103e+02 5.5e-10 1.02
74 9.5e-07 8.1e-03 5.9e-05 1.00e+00 1.664413907e+02 1.664436267e+02 4.9e-10 1.03
75 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415391e+02 1.664435515e+02 4.4e-10 1.04
76 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416726e+02 1.664434837e+02 4.0e-10 1.05
77 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417927e+02 1.664434227e+02 3.6e-10 1.06
78 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419007e+02 1.664433678e+02 3.2e-10 1.07
79 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664419979e+02 1.664433182e+02 2.9e-10 1.08
80 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420853e+02 1.664432736e+02 2.6e-10 1.09
81 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421640e+02 1.664432334e+02 2.4e-10 1.18
82 4.1e-07 7.8e-03 2.5e-05 1.00e+00 1.664422347e+02 1.664431972e+02 2.1e-10 1.18
83 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422984e+02 1.664431646e+02 1.9e-10 1.19
84 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423556e+02 1.664431352e+02 1.7e-10 1.20
85 3.0e-07 7.7e-03 1.9e-05 1.00e+00 1.664424072e+02 1.664431088e+02 1.5e-10 1.46
86 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424535e+02 1.664430850e+02 1.4e-10 1.49
87 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424952e+02 1.664430636e+02 1.3e-10 1.50
88 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.664425328e+02 1.664430443e+02 1.1e-10 1.52
89 1.9e-07 7.7e-03 1.2e-05 1.00e+00 1.664425666e+02 1.664430269e+02 1.0e-10 1.56
90 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425970e+02 1.664430113e+02 9.1e-11 1.58
91 1.6e-07 7.6e-03 9.9e-06 1.00e+00 1.664426244e+02 1.664429972e+02 8.2e-11 1.58
92 1.4e-07 7.6e-03 8.9e-06 1.00e+00 1.664426491e+02 1.664429845e+02 7.4e-11 1.59
93 1.3e-07 7.6e-03 8.0e-06 1.00e+00 1.664426712e+02 1.664429732e+02 6.6e-11 1.60
94 1.2e-07 7.6e-03 7.2e-06 1.00e+00 1.664426912e+02 1.664429629e+02 6.0e-11 1.61
95 1.0e-07 7.6e-03 6.5e-06 1.00e+00 1.664427092e+02 1.664429537e+02 5.4e-11 1.62
96 9.3e-08 7.6e-03 5.8e-06 1.00e+00 1.664427253e+02 1.664429454e+02 4.8e-11 1.64
97 8.4e-08 7.5e-03 5.2e-06 9.99e-01 1.664427399e+02 1.664429380e+02 4.4e-11 1.73
98 7.5e-08 7.5e-03 4.7e-06 1.00e+00 1.664427530e+02 1.664429312e+02 3.9e-11 1.74
99 6.8e-08 7.5e-03 4.3e-06 9.95e-01 1.664427648e+02 1.664429252e+02 3.5e-11 1.74
100 6.1e-08 7.5e-03 3.8e-06 9.99e-01 1.664427754e+02 1.664429198e+02 3.2e-11 1.75
101 5.5e-08 7.5e-03 3.4e-06 9.99e-01 1.664427849e+02 1.664429149e+02 2.9e-11 1.76
102 5.0e-08 7.5e-03 3.1e-06 1.00e+00 1.664427935e+02 1.664429105e+02 2.6e-11 1.77
103 4.5e-08 7.5e-03 2.8e-06 9.95e-01 1.664428012e+02 1.664429065e+02 2.3e-11 1.79
104 4.0e-08 6.7e-03 2.5e-06 1.01e+00 1.664428083e+02 1.664429029e+02 2.1e-11 1.81
105 3.6e-08 6.0e-03 2.3e-06 1.03e+00 1.664428153e+02 1.664428992e+02 1.9e-11 1.96
106 3.2e-08 5.4e-03 2.0e-06 1.02e+00 1.664428214e+02 1.664428960e+02 1.7e-11 1.97
107 2.9e-08 4.9e-03 1.8e-06 9.80e-01 1.664428263e+02 1.664428935e+02 1.6e-11 1.98
108 2.6e-08 4.4e-03 1.6e-06 9.77e-01 1.664428308e+02 1.664428913e+02 1.4e-11 1.99
109 2.4e-08 4.0e-03 1.5e-06 9.86e-01 1.664428348e+02 1.664428893e+02 1.3e-11 2.00
110 2.1e-08 3.6e-03 1.3e-06 9.78e-01 1.664428384e+02 1.664428875e+02 1.1e-11 2.11
111 1.9e-08 3.2e-03 1.2e-06 1.08e+00 1.664428429e+02 1.664428849e+02 1.1e-11 2.12
112 1.7e-08 2.9e-03 1.1e-06 9.73e-01 1.664428457e+02 1.664428835e+02 9.6e-12 2.14
113 1.6e-08 2.6e-03 9.7e-07 1.02e+00 1.664428484e+02 1.664428821e+02 8.7e-12 2.15
114 1.4e-08 2.3e-03 8.8e-07 1.04e+00 1.664428510e+02 1.664428808e+02 8.0e-12 2.18
115 1.3e-08 2.1e-03 7.9e-07 1.01e+00 1.664428531e+02 1.664428797e+02 7.2e-12 2.20
116 1.2e-08 1.9e-03 7.1e-07 9.38e-01 1.664428549e+02 1.664428789e+02 6.5e-12 2.21
117 1.1e-08 1.7e-03 6.4e-07 9.40e-01 1.664428564e+02 1.664428781e+02 5.8e-12 2.22
118 9.8e-09 1.5e-03 5.7e-07 1.29e+00 1.664428578e+02 1.664428776e+02 5.3e-12 2.23
119 8.8e-09 1.4e-03 5.2e-07 9.38e-01 1.664428591e+02 1.664428771e+02 4.7e-12 2.25
120 8.9e-09 1.2e-03 4.7e-07 1.19e+00 1.664428613e+02 1.664428756e+02 4.7e-12 2.26
121 7.9e-09 1.1e-03 4.2e-07 1.00e+00 1.664428623e+02 1.664428751e+02 4.2e-12 2.27
122 7.0e-09 1.0e-03 3.8e-07 5.94e-01 1.664428632e+02 1.664428746e+02 3.8e-12 2.28
123 6.7e-09 9.1e-04 3.4e-07 6.96e-01 1.664428639e+02 1.664428744e+02 3.4e-12 2.28
124 6.4e-09 8.2e-04 3.1e-07 1.04e+00 1.664428647e+02 1.664428739e+02 3.1e-12 2.29
125 5.7e-09 7.4e-04 2.7e-07 7.81e-01 1.664428653e+02 1.664428736e+02 2.8e-12 2.30
126 5.8e-09 6.6e-04 2.5e-07 8.06e-01 1.664428658e+02 1.664428734e+02 2.5e-12 2.31
127 5.1e-09 6.0e-04 2.2e-07 6.62e-01 1.664428663e+02 1.664428732e+02 2.3e-12 2.32
128 5.2e-09 5.4e-04 2.0e-07 7.66e-01 1.664428668e+02 1.664428730e+02 2.1e-12 2.34
129 4.8e-09 4.8e-04 1.8e-07 1.45e+00 1.664428672e+02 1.664428728e+02 1.9e-12 2.35
130 5.2e-09 4.3e-04 1.6e-07 1.60e+00 1.664428676e+02 1.664428725e+02 1.7e-12 2.36
131 5.9e-09 3.9e-04 1.5e-07 2.06e+00 1.664428679e+02 1.664428722e+02 1.5e-12 2.43
132 5.9e-09 3.9e-04 1.5e-07 3.08e+00 1.664428679e+02 1.664428722e+02 1.5e-12 2.44
133 6.6e-09 3.5e-04 1.3e-07 1.81e+00 1.664428683e+02 1.664428719e+02 1.3e-12 2.45
134 8.8e-09 3.2e-04 1.2e-07 2.35e+00 1.664428686e+02 1.664428717e+02 1.2e-12 2.46
135 6.4e-09 3.0e-04 1.1e-07 3.49e-01 1.664428688e+02 1.664428717e+02 1.1e-12 2.53
136 5.5e-09 2.7e-04 9.6e-08 3.56e-01 1.664428690e+02 1.664428716e+02 9.5e-13 2.56
Interior-point optimizer terminated. Time: 2.56.
Optimizer terminated. Time: 2.57
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286895e+02 Viol. con: 9e-08 var: 0e+00
Dual. obj: 1.6644287164e+02 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.58 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285340953e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263517277e+05 3.573621054e+00 4.8e-01 0.05
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201360058e+05 1.023272914e+01 1.8e-01 0.07
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154380577e+05 6.426645974e+01 1.2e-01 0.09
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.128348621e+05 2.258318607e+03 1.2e-01 0.10
5 7.5e+01 9.6e+01 4.1e+03 -7.52e-01 -7.471882251e+04 9.598254049e+03 3.3e-02 0.11
6 3.0e+01 3.9e+01 1.7e+03 -1.95e-01 -4.050838382e+04 1.020869764e+04 1.3e-02 0.12
7 1.8e+01 2.3e+01 1.0e+03 3.94e-01 -2.711076304e+04 6.648783367e+03 7.9e-03 0.13
8 9.5e+00 1.2e+01 5.3e+02 6.30e-01 -1.542139508e+04 3.834873705e+03 4.2e-03 0.14
9 3.6e+00 4.7e+00 2.0e+02 8.16e-01 -5.933714884e+03 1.798172197e+03 1.6e-03 0.16
10 2.0e+00 2.6e+00 1.1e+02 9.47e-01 -3.130702659e+03 1.194463192e+03 8.9e-04 0.20
11 8.4e-01 1.1e+00 4.7e+01 9.81e-01 -1.229432709e+03 6.158760259e+02 3.8e-04 0.21
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.213196191e+03 5.912532887e+02 3.7e-04 0.22
13 5.1e-01 6.6e-01 2.9e+01 9.72e-01 -7.067512752e+02 4.266800965e+02 2.3e-04 0.23
14 3.1e-01 4.2e-01 1.8e+01 1.00e+00 -3.527395305e+02 3.410999957e+02 1.4e-04 0.24
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.763096113e+01 2.143697895e+02 5.0e-05 0.25
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.135852309e+01 2.045405827e+02 3.8e-05 0.26
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.501522764e+01 1.868884406e+02 1.9e-05 0.27
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425020668e+02 1.741743837e+02 6.6e-06 0.28
19 6.2e-03 7.2e-02 3.6e-01 1.01e+00 1.557126958e+02 1.695764794e+02 2.9e-06 0.29
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638758975e+02 1.673863160e+02 7.4e-07 0.31
21 8.0e-04 1.1e-01 4.9e-02 9.78e-01 1.650621076e+02 1.669373400e+02 4.0e-07 0.32
22 2.4e-04 1.1e-01 1.6e-02 9.90e-01 1.660031403e+02 1.665978461e+02 1.3e-07 0.37
23 1.1e-04 8.9e-02 7.5e-03 1.01e+00 1.662212820e+02 1.665057588e+02 6.3e-08 0.38
24 4.7e-05 8.5e-02 3.1e-03 1.01e+00 1.663394237e+02 1.664571338e+02 2.6e-08 0.39
25 2.2e-05 7.7e-02 1.5e-03 1.01e+00 1.663835791e+02 1.664385512e+02 1.2e-08 0.40
26 2.0e-05 7.1e-02 1.3e-03 1.00e+00 1.663881974e+02 1.664377015e+02 1.1e-08 0.41
27 1.8e-05 6.4e-02 1.2e-03 1.01e+00 1.663915599e+02 1.664361006e+02 1.0e-08 0.43
28 1.6e-05 5.9e-02 1.1e-03 1.00e+00 1.663946473e+02 1.664347271e+02 9.0e-09 0.44
29 1.4e-05 5.4e-02 9.6e-04 1.00e+00 1.663974103e+02 1.664334759e+02 8.1e-09 0.45
30 1.3e-05 4.9e-02 8.6e-04 1.00e+00 1.663998949e+02 1.664323490e+02 7.3e-09 0.46
31 1.2e-05 4.5e-02 7.7e-04 1.00e+00 1.664021273e+02 1.664313320e+02 6.5e-09 0.47
32 1.0e-05 4.1e-02 7.0e-04 1.00e+00 1.664041338e+02 1.664304147e+02 5.9e-09 0.49
33 9.4e-06 3.8e-02 6.3e-04 1.00e+00 1.664059372e+02 1.664295873e+02 5.3e-09 0.50
34 8.5e-06 3.5e-02 5.6e-04 1.00e+00 1.664075582e+02 1.664288411e+02 4.8e-09 0.51
35 7.7e-06 3.2e-02 5.1e-04 1.00e+00 1.664090154e+02 1.664281682e+02 4.3e-09 0.56
36 6.9e-06 3.0e-02 4.6e-04 1.00e+00 1.664103254e+02 1.664275615e+02 3.9e-09 0.58
37 6.2e-06 2.8e-02 4.1e-04 1.00e+00 1.664115032e+02 1.664270145e+02 3.5e-09 0.59
38 5.6e-06 2.6e-02 3.7e-04 1.00e+00 1.664125622e+02 1.664265215e+02 3.1e-09 0.60
39 5.0e-06 2.4e-02 3.3e-04 1.00e+00 1.664135144e+02 1.664260771e+02 2.8e-09 0.62
40 4.5e-06 2.2e-02 3.0e-04 1.00e+00 1.664143706e+02 1.664256765e+02 2.5e-09 0.64
41 4.1e-06 2.1e-02 2.7e-04 1.00e+00 1.664151406e+02 1.664253154e+02 2.3e-09 0.65
42 3.7e-06 2.0e-02 2.4e-04 1.00e+00 1.664158330e+02 1.664249900e+02 2.1e-09 0.65
43 3.3e-06 1.8e-02 2.2e-04 1.00e+00 1.664164557e+02 1.664246966e+02 1.8e-09 0.66
44 3.0e-06 1.7e-02 2.0e-04 1.00e+00 1.664170157e+02 1.664244323e+02 1.7e-09 0.67
45 2.7e-06 1.6e-02 1.8e-04 1.00e+00 1.664175193e+02 1.664241941e+02 1.5e-09 0.68
46 2.4e-06 1.5e-02 1.6e-04 1.00e+00 1.664179723e+02 1.664239794e+02 1.3e-09 0.69
47 2.2e-06 1.5e-02 1.4e-04 1.00e+00 1.664183798e+02 1.664237861e+02 1.2e-09 0.70
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664187463e+02 1.664236120e+02 1.1e-09 0.71
49 1.8e-06 1.3e-02 1.2e-04 1.00e+00 1.664190761e+02 1.664234551e+02 9.8e-10 0.72
50 1.6e-06 1.3e-02 1.0e-04 1.00e+00 1.664193728e+02 1.664233138e+02 8.8e-10 0.77
51 1.4e-06 1.2e-02 9.4e-05 1.00e+00 1.664196397e+02 1.664231866e+02 8.0e-10 0.81
52 1.3e-06 1.2e-02 8.5e-05 1.00e+00 1.664198799e+02 1.664230720e+02 7.2e-10 0.82
53 1.1e-06 1.1e-02 7.6e-05 1.00e+00 1.664200959e+02 1.664229689e+02 6.4e-10 0.87
54 1.0e-06 1.1e-02 6.9e-05 1.00e+00 1.664202903e+02 1.664228759e+02 5.8e-10 0.89
55 9.3e-07 1.1e-02 6.2e-05 1.00e+00 1.664204653e+02 1.664227922e+02 5.2e-10 0.90
56 8.4e-07 1.0e-02 5.6e-05 1.00e+00 1.664206226e+02 1.664227168e+02 4.7e-10 0.91
57 7.5e-07 1.0e-02 5.0e-05 1.00e+00 1.664207642e+02 1.664226490e+02 4.2e-10 0.94
58 6.8e-07 9.9e-03 4.5e-05 1.00e+00 1.664208915e+02 1.664225879e+02 3.8e-10 0.94
59 6.1e-07 9.7e-03 4.1e-05 1.00e+00 1.664210061e+02 1.664225328e+02 3.4e-10 0.96
60 5.5e-07 9.5e-03 3.6e-05 1.00e+00 1.664211092e+02 1.664224831e+02 3.1e-10 1.00
61 4.9e-07 9.3e-03 3.3e-05 1.00e+00 1.664212019e+02 1.664224384e+02 2.8e-10 1.01
62 4.4e-07 9.1e-03 3.0e-05 1.00e+00 1.664212853e+02 1.664223981e+02 2.5e-10 1.02
63 4.0e-07 9.0e-03 2.7e-05 9.99e-01 1.664213603e+02 1.664223619e+02 2.2e-10 1.03
64 3.6e-07 8.8e-03 2.4e-05 1.00e+00 1.664214278e+02 1.664223293e+02 2.0e-10 1.06
65 3.2e-07 8.7e-03 2.2e-05 1.00e+00 1.664214885e+02 1.664222998e+02 1.8e-10 1.07
66 2.9e-07 8.6e-03 1.9e-05 9.99e-01 1.664215431e+02 1.664222734e+02 1.6e-10 1.08
67 2.6e-07 8.5e-03 1.7e-05 1.00e+00 1.664215923e+02 1.664222494e+02 1.5e-10 1.13
68 2.4e-07 8.4e-03 1.6e-05 9.98e-01 1.664216365e+02 1.664222280e+02 1.3e-10 1.14
69 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664216763e+02 1.664222086e+02 1.2e-10 1.16
70 1.9e-07 8.3e-03 1.3e-05 9.96e-01 1.664217120e+02 1.664221913e+02 1.1e-10 1.17
71 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217443e+02 1.664221755e+02 9.7e-11 1.19
72 1.6e-07 8.1e-03 1.0e-05 1.00e+00 1.664217733e+02 1.664221614e+02 8.7e-11 1.20
73 1.4e-07 8.1e-03 9.3e-06 1.00e+00 1.664217994e+02 1.664221486e+02 7.8e-11 1.21
74 1.3e-07 8.0e-03 8.3e-06 1.00e+00 1.664218229e+02 1.664221372e+02 7.1e-11 1.22
75 1.1e-07 8.0e-03 7.5e-06 1.00e+00 1.664218442e+02 1.664221268e+02 6.4e-11 1.23
76 1.0e-07 7.9e-03 6.8e-06 9.98e-01 1.664218632e+02 1.664221175e+02 5.7e-11 1.24
77 9.2e-08 7.9e-03 6.1e-06 9.90e-01 1.664218802e+02 1.664221093e+02 5.1e-11 1.25
78 8.2e-08 7.1e-03 5.5e-06 1.01e+00 1.664218962e+02 1.664221014e+02 4.7e-11 1.26
79 7.4e-08 6.4e-03 4.9e-06 9.97e-01 1.664219100e+02 1.664220947e+02 4.2e-11 1.26
80 6.7e-08 5.7e-03 4.4e-06 1.00e+00 1.664219224e+02 1.664220886e+02 3.8e-11 1.31
81 6.0e-08 5.2e-03 4.0e-06 1.01e+00 1.664219338e+02 1.664220831e+02 3.4e-11 1.33
82 5.4e-08 4.7e-03 3.6e-06 1.00e+00 1.664219439e+02 1.664220781e+02 3.1e-11 1.34
83 4.9e-08 4.2e-03 3.2e-06 9.79e-01 1.664219529e+02 1.664220738e+02 2.8e-11 1.35
84 4.4e-08 3.8e-03 2.9e-06 9.99e-01 1.664219610e+02 1.664220698e+02 2.5e-11 1.37
85 3.9e-08 3.4e-03 2.6e-06 9.99e-01 1.664219683e+02 1.664220663e+02 2.2e-11 1.38
86 3.6e-08 3.1e-03 2.4e-06 1.00e+00 1.664219749e+02 1.664220630e+02 2.0e-11 1.39
87 3.2e-08 2.7e-03 2.1e-06 1.00e+00 1.664219809e+02 1.664220601e+02 1.8e-11 1.44
88 2.9e-08 2.5e-03 1.9e-06 1.00e+00 1.664219862e+02 1.664220575e+02 1.6e-11 1.45
89 2.6e-08 2.2e-03 1.7e-06 1.02e+00 1.664219914e+02 1.664220549e+02 1.5e-11 1.46
90 2.3e-08 2.0e-03 1.5e-06 9.86e-01 1.664219956e+02 1.664220529e+02 1.3e-11 1.47
91 2.1e-08 1.8e-03 1.4e-06 1.02e+00 1.664219997e+02 1.664220508e+02 1.2e-11 1.50
92 1.9e-08 1.6e-03 1.3e-06 1.02e+00 1.664220034e+02 1.664220490e+02 1.1e-11 1.57
93 1.7e-08 1.5e-03 1.1e-06 1.05e+00 1.664220071e+02 1.664220471e+02 1.0e-11 1.58
94 1.5e-08 1.3e-03 1.0e-06 9.80e-01 1.664220098e+02 1.664220458e+02 9.1e-12 1.59
95 1.4e-08 1.2e-03 9.1e-07 9.65e-01 1.664220122e+02 1.664220447e+02 8.2e-12 1.60
96 1.2e-08 1.1e-03 8.2e-07 9.66e-01 1.664220144e+02 1.664220437e+02 7.3e-12 1.61
97 1.1e-08 9.6e-04 7.4e-07 1.00e+00 1.664220164e+02 1.664220427e+02 6.6e-12 1.62
98 1.0e-08 8.6e-04 6.7e-07 1.03e+00 1.664220184e+02 1.664220417e+02 6.0e-12 1.63
99 9.1e-09 7.8e-04 6.0e-07 1.02e+00 1.664220201e+02 1.664220409e+02 5.5e-12 1.64
100 8.3e-09 7.0e-04 5.4e-07 1.03e+00 1.664220217e+02 1.664220401e+02 5.0e-12 1.65
101 7.4e-09 6.3e-04 4.9e-07 1.06e+00 1.664220233e+02 1.664220393e+02 4.6e-12 1.65
102 6.7e-09 5.7e-04 4.4e-07 8.25e-01 1.664220243e+02 1.664220388e+02 4.2e-12 1.66
103 6.0e-09 5.1e-04 3.9e-07 9.35e-01 1.664220253e+02 1.664220384e+02 3.8e-12 1.67
104 5.4e-09 4.6e-04 3.5e-07 9.85e-01 1.664220262e+02 1.664220380e+02 3.4e-12 1.68
105 5.0e-09 4.1e-04 3.2e-07 8.98e-01 1.664220269e+02 1.664220376e+02 3.0e-12 1.70
106 4.7e-09 3.7e-04 2.9e-07 1.18e+00 1.664220282e+02 1.664220369e+02 3.0e-12 1.71
107 4.4e-09 3.3e-04 2.6e-07 1.07e+00 1.664220290e+02 1.664220365e+02 2.8e-12 1.71
108 4.3e-09 3.0e-04 2.3e-07 1.17e+00 1.664220299e+02 1.664220360e+02 2.7e-12 1.74
109 4.0e-09 2.7e-04 2.1e-07 1.02e+00 1.664220304e+02 1.664220358e+02 2.5e-12 1.75
110 1.1e-09 1.5e-05 1.2e-08 9.65e-01 1.664220339e+02 1.664220342e+02 1.8e-13 1.76
Interior-point optimizer terminated. Time: 1.76.
Optimizer terminated. Time: 1.77
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203389e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6642203420e+02 Viol. con: 0e+00 var: 7e-05
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.78 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.02 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.01
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285332488e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263506587e+05 3.573405334e+00 4.8e-01 0.05
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201229531e+05 1.024109855e+01 1.8e-01 0.06
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154146775e+05 6.438984694e+01 1.2e-01 0.08
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.128141977e+05 2.256492719e+03 1.2e-01 0.15
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.452178929e+04 9.623255996e+03 3.3e-02 0.16
6 3.0e+01 3.8e+01 1.7e+03 -1.92e-01 -4.039652181e+04 1.017307723e+04 1.3e-02 0.17
7 1.8e+01 2.3e+01 1.0e+03 3.96e-01 -2.710374807e+04 6.644045941e+03 7.9e-03 0.19
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.529782569e+04 3.811649197e+03 4.1e-03 0.26
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.370846411e+03 1.685453884e+03 1.5e-03 0.27
10 1.6e+00 2.1e+00 9.1e+01 9.54e-01 -2.488083939e+03 1.068003692e+03 7.3e-04 0.28
11 9.3e-01 1.2e+00 5.2e+01 9.86e-01 -1.337571630e+03 6.866731495e+02 4.1e-04 0.29
12 8.5e-01 1.1e+00 4.8e+01 9.60e-01 -1.253948501e+03 6.354956465e+02 3.8e-04 0.30
13 4.7e-01 6.1e-01 2.7e+01 9.77e-01 -6.373822845e+02 4.197230268e+02 2.1e-04 0.33
14 2.5e-01 3.3e-01 1.4e+01 1.00e+00 -2.541745689e+02 3.021334113e+02 1.1e-04 0.34
15 9.3e-02 1.5e-01 5.3e+00 1.00e+00 -3.964936767e+00 2.060657059e+02 4.3e-05 0.34
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.475458959e+01 2.084811485e+02 4.0e-05 0.35
17 6.0e-02 9.6e-02 3.4e+00 1.02e+00 6.117880269e+01 1.950768473e+02 2.8e-05 0.36
18 3.3e-02 7.2e-02 1.9e+00 1.02e+00 1.091848221e+02 1.824027862e+02 1.5e-05 0.37
19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.513703383e+02 1.718414183e+02 4.3e-06 0.38
20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602183807e+02 1.683899520e+02 1.7e-06 0.39
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642699834e+02 1.671903209e+02 6.2e-07 0.40
22 8.6e-04 1.0e-01 5.2e-02 9.84e-01 1.649681717e+02 1.669443954e+02 4.3e-07 0.46
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659690938e+02 1.665864847e+02 1.3e-07 0.48
24 9.4e-05 1.0e-01 6.1e-03 1.01e+00 1.662459026e+02 1.664756909e+02 5.1e-08 0.48
25 3.7e-05 9.5e-02 2.4e-03 1.01e+00 1.663440805e+02 1.664350960e+02 2.0e-08 0.49
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663785046e+02 1.664206579e+02 9.5e-09 0.50
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663820227e+02 1.664199766e+02 8.5e-09 0.53
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663846094e+02 1.664187606e+02 7.7e-09 0.53
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663869813e+02 1.664177119e+02 6.9e-09 0.54
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663891058e+02 1.664167590e+02 6.2e-09 0.55
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663910164e+02 1.664159006e+02 5.6e-09 0.56
32 9.1e-06 4.7e-02 5.9e-04 1.00e+00 1.663927337e+02 1.664151266e+02 5.0e-09 0.57
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663942775e+02 1.664144287e+02 4.5e-09 0.58
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663956654e+02 1.664137995e+02 4.1e-09 0.59
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969133e+02 1.664132324e+02 3.7e-09 0.60
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663980354e+02 1.664127213e+02 3.3e-09 0.61
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663990444e+02 1.664122606e+02 3.0e-09 0.67
38 4.8e-06 2.9e-02 3.2e-04 1.00e+00 1.663999517e+02 1.664118456e+02 2.7e-09 0.68
39 4.3e-06 2.6e-02 2.8e-04 1.00e+00 1.664007677e+02 1.664114715e+02 2.4e-09 0.69
40 3.9e-06 2.5e-02 2.6e-04 1.00e+00 1.664015015e+02 1.664111343e+02 2.2e-09 0.70
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664021614e+02 1.664108305e+02 2.0e-09 0.70
42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027548e+02 1.664105567e+02 1.8e-09 0.72
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664032886e+02 1.664103100e+02 1.6e-09 0.73
44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037686e+02 1.664100877e+02 1.4e-09 0.74
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042005e+02 1.664098875e+02 1.3e-09 0.75
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045890e+02 1.664097072e+02 1.2e-09 0.81
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049385e+02 1.664095448e+02 1.0e-09 0.82
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052530e+02 1.664093985e+02 9.4e-10 0.83
49 1.5e-06 1.4e-02 9.9e-05 1.00e+00 1.664055359e+02 1.664092668e+02 8.4e-10 0.84
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664057904e+02 1.664091482e+02 7.6e-10 0.85
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060194e+02 1.664090414e+02 6.8e-10 0.87
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062255e+02 1.664089452e+02 6.1e-10 0.88
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064109e+02 1.664088585e+02 5.5e-10 0.89
54 8.9e-07 1.2e-02 5.9e-05 1.00e+00 1.664065777e+02 1.664087805e+02 5.0e-10 0.90
55 8.0e-07 1.1e-02 5.3e-05 1.00e+00 1.664067277e+02 1.664087103e+02 4.5e-10 0.91
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068627e+02 1.664086470e+02 4.0e-10 0.95
57 6.5e-07 1.0e-02 4.3e-05 1.00e+00 1.664069842e+02 1.664085901e+02 3.6e-10 0.99
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664070934e+02 1.664085387e+02 3.3e-10 1.04
59 5.3e-07 9.9e-03 3.5e-05 1.00e+00 1.664071917e+02 1.664084925e+02 2.9e-10 1.05
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072801e+02 1.664084508e+02 2.6e-10 1.07
61 4.3e-07 9.5e-03 2.8e-05 1.00e+00 1.664073596e+02 1.664084132e+02 2.4e-10 1.08
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074312e+02 1.664083794e+02 2.1e-10 1.13
63 3.5e-07 9.1e-03 2.3e-05 1.00e+00 1.664074955e+02 1.664083489e+02 1.9e-10 1.14
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075534e+02 1.664083214e+02 1.7e-10 1.15
65 2.8e-07 8.8e-03 1.8e-05 9.99e-01 1.664076055e+02 1.664082967e+02 1.6e-10 1.16
66 2.5e-07 8.7e-03 1.7e-05 1.00e+00 1.664076524e+02 1.664082744e+02 1.4e-10 1.17
67 2.3e-07 8.6e-03 1.5e-05 1.00e+00 1.664076945e+02 1.664082544e+02 1.3e-10 1.18
68 2.0e-07 8.5e-03 1.3e-05 1.00e+00 1.664077325e+02 1.664082363e+02 1.1e-10 1.20
69 1.8e-07 8.4e-03 1.2e-05 9.98e-01 1.664077666e+02 1.664082201e+02 1.0e-10 1.20
70 1.7e-07 8.3e-03 1.1e-05 1.00e+00 1.664077973e+02 1.664082054e+02 9.2e-11 1.21
71 1.5e-07 8.2e-03 9.8e-06 1.00e+00 1.664078250e+02 1.664081923e+02 8.3e-11 1.26
72 1.3e-07 8.2e-03 8.8e-06 1.01e+00 1.664078501e+02 1.664081802e+02 7.5e-11 1.28
73 1.2e-07 8.1e-03 7.9e-06 1.00e+00 1.664078725e+02 1.664081695e+02 6.7e-11 1.29
74 1.1e-07 8.1e-03 7.1e-06 1.01e+00 1.664078929e+02 1.664081597e+02 6.1e-11 1.30
75 9.8e-08 8.0e-03 6.4e-06 1.00e+00 1.664079110e+02 1.664081511e+02 5.5e-11 1.31
76 8.8e-08 8.0e-03 5.8e-06 9.97e-01 1.664079272e+02 1.664081434e+02 4.9e-11 1.32
77 7.9e-08 7.9e-03 5.2e-06 9.99e-01 1.664079419e+02 1.664081364e+02 4.4e-11 1.33
78 7.1e-08 7.1e-03 4.7e-06 1.02e+00 1.664079558e+02 1.664081296e+02 4.0e-11 1.35
79 6.4e-08 6.4e-03 4.2e-06 1.00e+00 1.664079676e+02 1.664081240e+02 3.6e-11 1.36
80 5.8e-08 5.8e-03 3.8e-06 1.00e+00 1.664079782e+02 1.664081190e+02 3.2e-11 1.37
81 5.2e-08 5.2e-03 3.4e-06 1.01e+00 1.664079881e+02 1.664081142e+02 2.9e-11 1.38
82 4.7e-08 4.7e-03 3.1e-06 9.98e-01 1.664079967e+02 1.664081101e+02 2.6e-11 1.39
83 4.2e-08 4.2e-03 2.8e-06 9.90e-01 1.664080043e+02 1.664081065e+02 2.4e-11 1.40
84 3.8e-08 3.8e-03 2.5e-06 1.01e+00 1.664080114e+02 1.664081031e+02 2.1e-11 1.41
85 3.4e-08 3.4e-03 2.2e-06 9.84e-01 1.664080176e+02 1.664081002e+02 1.9e-11 1.42
86 3.1e-08 3.1e-03 2.0e-06 9.88e-01 1.664080231e+02 1.664080976e+02 1.7e-11 1.48
87 2.8e-08 2.8e-03 1.8e-06 9.90e-01 1.664080282e+02 1.664080952e+02 1.6e-11 1.50
88 2.5e-08 2.5e-03 1.6e-06 1.00e+00 1.664080328e+02 1.664080930e+02 1.4e-11 1.51
89 2.2e-08 2.2e-03 1.5e-06 9.99e-01 1.664080368e+02 1.664080911e+02 1.3e-11 1.52
90 2.0e-08 2.0e-03 1.3e-06 9.88e-01 1.664080405e+02 1.664080893e+02 1.1e-11 1.53
91 1.8e-08 1.8e-03 1.2e-06 1.02e+00 1.664080440e+02 1.664080876e+02 1.0e-11 1.54
92 1.6e-08 1.6e-03 1.1e-06 9.49e-01 1.664080469e+02 1.664080863e+02 9.3e-12 1.56
93 1.5e-08 1.5e-03 9.6e-07 9.86e-01 1.664080496e+02 1.664080850e+02 8.4e-12 1.57
94 1.3e-08 1.3e-03 8.7e-07 1.02e+00 1.664080522e+02 1.664080837e+02 7.6e-12 1.58
95 1.2e-08 1.2e-03 7.8e-07 9.44e-01 1.664080543e+02 1.664080827e+02 6.9e-12 1.59
96 1.1e-08 1.1e-03 7.0e-07 9.59e-01 1.664080562e+02 1.664080819e+02 6.2e-12 1.59
97 9.7e-09 9.7e-04 6.3e-07 1.03e+00 1.664080582e+02 1.664080809e+02 5.6e-12 1.60
98 8.7e-09 8.7e-04 5.7e-07 1.02e+00 1.664080598e+02 1.664080801e+02 5.1e-12 1.61
99 8.1e-09 7.8e-04 5.1e-07 1.13e+00 1.664080620e+02 1.664080789e+02 4.9e-12 1.62
100 7.3e-09 7.0e-04 4.6e-07 9.43e-01 1.664080632e+02 1.664080783e+02 4.4e-12 1.63
101 6.6e-09 6.3e-04 4.1e-07 9.15e-01 1.664080642e+02 1.664080779e+02 4.0e-12 1.64
102 6.4e-09 5.7e-04 3.7e-07 1.08e+00 1.664080655e+02 1.664080773e+02 3.7e-12 1.70
103 5.8e-09 5.1e-04 3.4e-07 1.14e+00 1.664080668e+02 1.664080766e+02 3.6e-12 1.71
104 5.2e-09 4.6e-04 3.0e-07 9.66e-01 1.664080674e+02 1.664080763e+02 3.2e-12 1.72
105 4.5e-09 4.2e-04 2.7e-07 8.41e-01 1.664080680e+02 1.664080760e+02 2.9e-12 1.73
106 4.2e-09 3.7e-04 2.4e-07 1.02e+00 1.664080686e+02 1.664080758e+02 2.6e-12 1.74
107 3.8e-09 3.4e-04 2.2e-07 9.25e-01 1.664080691e+02 1.664080755e+02 2.4e-12 1.75
108 3.8e-09 3.4e-04 2.2e-07 1.09e+00 1.664080691e+02 1.664080755e+02 2.4e-12 1.76
109 3.5e-09 3.0e-04 2.0e-07 1.02e+00 1.664080696e+02 1.664080753e+02 2.2e-12 1.77
110 3.4e-09 2.7e-04 1.8e-07 1.00e+00 1.664080700e+02 1.664080751e+02 1.9e-12 1.79
111 3.0e-09 2.5e-04 1.6e-07 8.70e-01 1.664080703e+02 1.664080750e+02 1.7e-12 1.84
112 2.9e-09 2.2e-04 1.4e-07 9.45e-01 1.664080706e+02 1.664080748e+02 1.6e-12 1.88
113 2.1e-09 2.5e-05 1.6e-08 8.18e-01 1.664080733e+02 1.664080738e+02 2.8e-13 1.89
Interior-point optimizer terminated. Time: 1.89.
Optimizer terminated. Time: 1.90
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807327e+02 Viol. con: 5e-08 var: 0e+00
Dual. obj: 1.6640807379e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.92 seconds.
Solving took 9 GP solves and 157 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: 1.4957387329334106e+110 vs 1.49570730377e+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: 3.705385824846997e+72 vs 3.70523818444e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682494]
Total Aircraft Weight Percent Diff: [-21.48057227]
Engine Weight Percent Diff: -56.278262159119215
Fuselage Weight Percent Diff: -0.8697407420158585
Payload Weight Percent Diff: [-0.04003561]
VT Weight Percent Diff: -8.607955245395608
HT Weight Percent Diff: -93.23330189455466
Wing Weight Percent Diff: 8.267484731922526
WING DIFFERENCES
Wing Span Percent Diff: -0.029992796610244735
Wing Area Percent Diff: 32.89987080888216
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.48887004823135
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022355925037964
VT Area Percent Diff: -60.386849430167146
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54722317]
L/D Percent Diff: [24.01022675]
Nacelle Cd Percent Diff: [-94.27642017]
HT Cd Percent Diff: [-80.76940195] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00298464] dimensionless
Wing Cd percent Diff: [-14.22917764]
Induced Drag Cd Percent Diff: [1.2194648]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035893]
FUSELAGE DIFFERENCES
Weight of HB material: -38.36104555662786
Weight of VB material: 87.8163167923746
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260518]
Mission1
========
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission1.Aircraft.Wing.WingBox.N_{lift} = 3
Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission1.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission1.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*Mission1.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission1.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission1.Aircraft.Wing.WingBox.r_{w/c} = Mission1.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission1.Aircraft.Fuselage.N_{lift} = Mission1.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission1.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission1.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission1.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission1.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3438 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.02 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 : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280976207e+05 2.000000000e+00 1.0e+00 0.03
1 1.1e+03 1.4e+03 6.3e+04 -9.71e-01 -1.260360597e+05 3.611424052e+00 4.9e-01 0.63
2 4.1e+02 5.3e+02 2.3e+04 -9.38e-01 -1.195206719e+05 1.063331153e+01 1.8e-01 0.75
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.151942168e+05 6.795829655e+01 1.3e-01 0.96
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127212826e+05 2.109723808e+03 1.3e-01 1.01
5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.071413615e+04 8.411072422e+03 3.9e-02 1.18
6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.787028059e+04 1.016025756e+04 1.6e-02 1.26
7 2.1e+01 2.8e+01 1.2e+03 2.52e-01 -3.173778936e+04 7.155034269e+03 9.5e-03 1.27
8 9.4e+00 1.2e+01 5.3e+02 5.36e-01 -1.511150083e+04 4.167123567e+03 4.2e-03 1.28
9 5.5e+00 7.1e+00 3.1e+02 8.14e-01 -8.836155418e+03 2.832992813e+03 2.5e-03 1.29
10 1.3e+00 1.7e+00 7.6e+01 9.07e-01 -2.021517100e+03 9.278094940e+02 6.1e-04 1.30
11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.292899266e+02 7.204982019e+02 3.2e-04 1.31
12 4.7e-01 6.1e-01 2.7e+01 9.97e-01 -4.810408396e+02 5.632816117e+02 2.1e-04 1.32
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.119899248e+02 4.857188935e+02 1.6e-04 1.50
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.727746611e+01 3.656933383e+02 7.9e-05 1.52
15 5.5e-02 1.5e-01 3.2e+00 9.94e-01 1.624902967e+02 2.901499707e+02 2.7e-05 1.55
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.999027139e+02 2.746125040e+02 1.6e-05 1.58
17 5.1e-03 1.8e-01 3.2e-01 1.00e+00 2.445305033e+02 2.572371524e+02 2.8e-06 1.62
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509424510e+02 2.546897023e+02 8.3e-07 1.67
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527845502e+02 2.540210950e+02 2.8e-07 1.68
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532880856e+02 2.538352203e+02 1.2e-07 1.82
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533292209e+02 2.538216573e+02 1.1e-07 1.83
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533650962e+02 2.538082643e+02 1.0e-07 1.84
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533974267e+02 2.537962616e+02 9.0e-08 1.85
24 1.4e-04 5.9e-02 9.2e-03 1.00e+00 2.534264980e+02 2.537854354e+02 8.1e-08 1.86
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534526435e+02 2.537756756e+02 7.3e-08 1.87
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534761571e+02 2.537668763e+02 6.5e-08 1.88
27 1.0e-04 4.5e-02 6.7e-03 1.00e+00 2.534973060e+02 2.537589453e+02 5.9e-08 1.89
28 9.0e-05 4.1e-02 6.1e-03 1.00e+00 2.535163290e+02 2.537517977e+02 5.3e-08 1.90
29 8.1e-05 3.8e-02 5.4e-03 1.00e+00 2.535334405e+02 2.537453571e+02 4.8e-08 1.91
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535488335e+02 2.537395540e+02 4.3e-08 1.92
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535626808e+02 2.537343259e+02 3.9e-08 1.93
32 5.9e-05 3.0e-02 4.0e-03 1.00e+00 2.535751383e+02 2.537296160e+02 3.5e-08 1.94
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535863455e+02 2.537253733e+02 3.1e-08 1.96
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535964283e+02 2.537215515e+02 2.8e-08 1.98
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536054996e+02 2.537181092e+02 2.5e-08 2.07
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536136611e+02 2.537150086e+02 2.3e-08 2.08
37 3.5e-05 2.0e-02 2.3e-03 1.00e+00 2.536210042e+02 2.537122161e+02 2.1e-08 2.10
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276109e+02 2.537097011e+02 1.9e-08 2.11
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536335554e+02 2.537074361e+02 1.7e-08 2.12
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389040e+02 2.537053963e+02 1.5e-08 2.14
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536437166e+02 2.537035594e+02 1.3e-08 2.15
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536480470e+02 2.537019053e+02 1.2e-08 2.30
43 1.9e-05 1.4e-02 1.2e-03 1.00e+00 2.536519435e+02 2.537004159e+02 1.1e-08 2.31
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554497e+02 2.536990747e+02 9.8e-09 2.32
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586047e+02 2.536978672e+02 8.9e-09 2.33
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614438e+02 2.536967801e+02 8.0e-09 2.45
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536639986e+02 2.536958012e+02 7.2e-09 2.52
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536662977e+02 2.536949200e+02 6.5e-09 2.64
49 9.9e-06 1.1e-02 6.6e-04 1.00e+00 2.536683666e+02 2.536941267e+02 5.8e-09 2.70
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536702284e+02 2.536934125e+02 5.2e-09 2.71
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536719038e+02 2.536927696e+02 4.7e-09 2.72
52 7.2e-06 1.0e-02 4.8e-04 1.00e+00 2.536734116e+02 2.536921909e+02 4.2e-09 2.73
53 6.5e-06 9.9e-03 4.3e-04 1.00e+00 2.536747686e+02 2.536916699e+02 3.8e-09 2.74
54 5.8e-06 9.6e-03 3.9e-04 1.00e+00 2.536759897e+02 2.536912009e+02 3.4e-09 2.75
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770886e+02 2.536907788e+02 3.1e-09 2.76
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780776e+02 2.536903988e+02 2.8e-09 2.77
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789676e+02 2.536900567e+02 2.5e-09 2.79
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797685e+02 2.536897488e+02 2.3e-09 2.79
59 3.4e-06 8.7e-03 2.3e-04 1.00e+00 2.536804894e+02 2.536894716e+02 2.0e-09 2.80
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811381e+02 2.536892221e+02 1.8e-09 2.81
61 1.2e-06 3.3e-03 8.1e-05 1.00e+00 2.536846984e+02 2.536878513e+02 7.1e-10 2.88
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849266e+02 2.536877643e+02 6.4e-10 2.89
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862390e+02 2.536872586e+02 2.3e-10 2.91
64 3.5e-07 9.7e-04 2.4e-05 1.00e+00 2.536863126e+02 2.536872303e+02 2.1e-10 2.94
65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863788e+02 2.536872047e+02 1.9e-10 2.95
66 2.8e-07 7.9e-04 1.9e-05 9.99e-01 2.536864384e+02 2.536871817e+02 1.7e-10 2.96
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864921e+02 2.536871611e+02 1.5e-10 3.01
68 2.3e-07 6.4e-04 1.5e-05 1.00e+00 2.536865403e+02 2.536871424e+02 1.4e-10 3.07
69 2.1e-07 5.7e-04 1.4e-05 1.00e+00 2.536865838e+02 2.536871257e+02 1.2e-10 3.17
70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866229e+02 2.536871106e+02 1.1e-10 3.29
71 1.7e-07 4.7e-04 1.1e-05 9.99e-01 2.536866581e+02 2.536870970e+02 9.9e-11 3.30
72 1.5e-07 4.2e-04 1.0e-05 9.99e-01 2.536866897e+02 2.536870848e+02 8.9e-11 3.32
73 1.4e-07 3.8e-04 9.1e-06 1.00e+00 2.536867182e+02 2.536870738e+02 8.0e-11 3.34
74 1.2e-07 3.4e-04 8.2e-06 1.00e+00 2.536867439e+02 2.536870639e+02 7.2e-11 3.41
75 1.1e-07 3.1e-04 7.4e-06 9.99e-01 2.536867670e+02 2.536870550e+02 6.5e-11 3.42
76 9.9e-08 2.7e-04 6.7e-06 1.00e+00 2.536867877e+02 2.536870470e+02 5.8e-11 3.50
77 8.9e-08 2.5e-04 6.0e-06 1.00e+00 2.536868064e+02 2.536870397e+02 5.3e-11 3.51
78 8.0e-08 2.2e-04 5.4e-06 1.00e+00 2.536868233e+02 2.536870332e+02 4.7e-11 3.52
79 7.2e-08 2.0e-04 4.9e-06 1.00e+00 2.536868384e+02 2.536870274e+02 4.3e-11 3.54
80 6.5e-08 1.8e-04 4.4e-06 1.00e+00 2.536868521e+02 2.536870221e+02 3.8e-11 3.61
81 5.9e-08 1.6e-04 3.9e-06 1.00e+00 2.536868643e+02 2.536870173e+02 3.5e-11 3.62
82 5.3e-08 1.5e-04 3.5e-06 9.99e-01 2.536868754e+02 2.536870131e+02 3.1e-11 3.63
83 4.8e-08 1.3e-04 3.2e-06 1.00e+00 2.536868853e+02 2.536870092e+02 2.8e-11 3.64
84 4.3e-08 1.2e-04 2.9e-06 1.00e+00 2.536868943e+02 2.536870058e+02 2.5e-11 3.72
85 3.8e-08 1.1e-04 2.6e-06 9.96e-01 2.536869023e+02 2.536870027e+02 2.3e-11 3.73
86 3.5e-08 9.6e-05 2.3e-06 9.96e-01 2.536869095e+02 2.536869999e+02 2.0e-11 3.74
87 3.1e-08 8.6e-05 2.1e-06 1.00e+00 2.536869161e+02 2.536869973e+02 1.8e-11 3.77
88 2.8e-08 7.8e-05 1.9e-06 9.97e-01 2.536869219e+02 2.536869951e+02 1.7e-11 3.85
89 2.5e-08 7.0e-05 1.7e-06 1.01e+00 2.536869273e+02 2.536869930e+02 1.5e-11 3.87
90 2.3e-08 6.3e-05 1.5e-06 9.87e-01 2.536869320e+02 2.536869912e+02 1.3e-11 3.89
91 2.0e-08 5.7e-05 1.4e-06 1.00e+00 2.536869363e+02 2.536869895e+02 1.2e-11 3.90
92 1.8e-08 5.1e-05 1.2e-06 1.00e+00 2.536869401e+02 2.536869880e+02 1.1e-11 3.91
93 1.7e-08 4.6e-05 1.1e-06 1.00e+00 2.536869436e+02 2.536869867e+02 9.8e-12 3.92
94 1.5e-08 4.1e-05 1.0e-06 9.84e-01 2.536869467e+02 2.536869855e+02 8.8e-12 3.94
95 1.3e-08 3.7e-05 9.0e-07 1.00e+00 2.536869495e+02 2.536869844e+02 7.9e-12 3.95
96 1.2e-08 3.3e-05 8.1e-07 1.01e+00 2.536869521e+02 2.536869834e+02 7.2e-12 4.09
97 1.1e-08 3.0e-05 7.3e-07 9.94e-01 2.536869544e+02 2.536869825e+02 6.5e-12 4.16
98 9.8e-09 2.7e-05 6.6e-07 9.92e-01 2.536869564e+02 2.536869817e+02 5.8e-12 4.17
Interior-point optimizer terminated. Time: 4.17.
Optimizer terminated. Time: 4.18
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695641e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698173e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.19 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281787446e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.259414228e+05 3.780941016e+00 4.7e-01 0.08
2 4.6e+02 5.9e+02 2.6e+04 -9.35e-01 -1.205918795e+05 9.868922466e+00 2.0e-01 0.13
3 2.9e+02 3.7e+02 1.6e+04 -8.50e-01 -1.154239527e+05 5.250197663e+01 1.3e-01 0.14
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.133019475e+05 1.862130071e+03 1.3e-01 0.15
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.812142136e+04 9.031239865e+03 3.6e-02 0.15
6 3.6e+01 4.6e+01 2.0e+03 -2.53e-01 -4.675648610e+04 1.010078032e+04 1.6e-02 0.16
7 1.9e+01 2.4e+01 1.0e+03 2.76e-01 -2.801894212e+04 6.402312683e+03 8.2e-03 0.17
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.471216462e+04 4.005088034e+03 4.0e-03 0.18
9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.206577905e+03 2.776623728e+03 2.5e-03 0.19
10 1.9e+00 2.4e+00 1.1e+02 9.02e-01 -2.967188490e+03 1.150548980e+03 8.4e-04 0.20
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.411824491e+03 1.013250361e+03 7.0e-04 0.21
12 1.0e+00 1.4e+00 5.6e+01 9.78e-01 -1.467425824e+03 7.220755647e+02 4.4e-04 0.28
13 4.6e-01 6.8e-01 2.6e+01 9.83e-01 -5.896884204e+02 4.319681740e+02 2.1e-04 0.29
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.320840839e+02 3.288887974e+02 1.1e-04 0.31
15 1.0e-01 1.6e-01 5.7e+00 1.00e+00 1.044650799e+01 2.360029589e+02 4.6e-05 0.32
16 4.7e-02 1.0e-01 2.7e+00 1.00e+00 9.574900381e+01 2.020284351e+02 2.2e-05 0.38
17 1.0e-02 1.4e-01 6.2e-01 1.01e+00 1.548431116e+02 1.790677321e+02 5.2e-06 0.39
18 6.3e-03 1.0e-01 3.9e-01 1.01e+00 1.614292046e+02 1.765011121e+02 3.2e-06 0.41
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.695627739e+02 1.734405848e+02 8.5e-07 0.42
20 3.4e-04 1.4e-01 2.2e-02 1.01e+00 1.717721238e+02 1.726293360e+02 1.9e-07 0.43
21 1.4e-04 1.0e-01 9.5e-03 9.94e-01 1.721372136e+02 1.725037899e+02 8.3e-08 0.44
22 8.9e-05 8.2e-02 6.0e-03 1.00e+00 1.722347054e+02 1.724653290e+02 5.2e-08 0.45
23 8.0e-05 7.6e-02 5.4e-03 1.00e+00 1.722527902e+02 1.724604211e+02 4.7e-08 0.46
24 7.2e-05 6.9e-02 4.8e-03 1.00e+00 1.722680410e+02 1.724549096e+02 4.2e-08 0.47
25 6.5e-05 6.3e-02 4.3e-03 1.00e+00 1.722818157e+02 1.724499965e+02 3.8e-08 0.48
26 5.9e-05 5.7e-02 3.9e-03 1.00e+00 1.722941841e+02 1.724455454e+02 3.4e-08 0.49
27 5.3e-05 5.2e-02 3.5e-03 1.00e+00 1.723053032e+02 1.724415267e+02 3.1e-08 0.50
28 4.7e-05 4.8e-02 3.2e-03 1.00e+00 1.723152953e+02 1.724378950e+02 2.8e-08 0.51
29 4.3e-05 4.4e-02 2.8e-03 1.00e+00 1.723242745e+02 1.724346128e+02 2.5e-08 0.52
30 3.8e-05 4.0e-02 2.6e-03 1.00e+00 1.723323435e+02 1.724316468e+02 2.2e-08 0.53
31 3.5e-05 3.7e-02 2.3e-03 1.00e+00 1.723395948e+02 1.724289667e+02 2.0e-08 0.54
32 3.1e-05 3.4e-02 2.1e-03 1.00e+00 1.723461118e+02 1.724265455e+02 1.8e-08 0.55
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723519694e+02 1.724243590e+02 1.6e-08 0.56
34 2.5e-05 2.9e-02 1.7e-03 1.00e+00 1.723572349e+02 1.724223851e+02 1.5e-08 0.57
35 2.3e-05 2.7e-02 1.5e-03 1.00e+00 1.723619688e+02 1.724206035e+02 1.3e-08 0.58
36 2.0e-05 2.5e-02 1.4e-03 1.00e+00 1.723662252e+02 1.724189960e+02 1.2e-08 0.59
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723700524e+02 1.724175459e+02 1.1e-08 0.60
38 1.7e-05 2.2e-02 1.1e-03 1.00e+00 1.723734941e+02 1.724162381e+02 9.7e-09 0.61
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723765892e+02 1.724150587e+02 8.7e-09 0.62
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723793729e+02 1.724139953e+02 7.8e-09 0.63
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723818765e+02 1.724130367e+02 7.1e-09 0.69
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723841284e+02 1.724121725e+02 6.4e-09 0.76
43 9.8e-06 1.6e-02 6.5e-04 1.00e+00 1.723861540e+02 1.724113937e+02 5.7e-09 0.77
44 8.8e-06 1.5e-02 5.9e-04 1.00e+00 1.723879760e+02 1.724106918e+02 5.1e-09 0.79
45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723896150e+02 1.724100592e+02 4.6e-09 0.80
46 7.1e-06 1.4e-02 4.8e-04 1.00e+00 1.723910895e+02 1.724094893e+02 4.2e-09 0.83
47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723924159e+02 1.724089758e+02 3.8e-09 0.86
48 5.8e-06 1.3e-02 3.9e-04 1.00e+00 1.723936092e+02 1.724085131e+02 3.4e-09 0.87
49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723946828e+02 1.724080964e+02 3.0e-09 0.88
50 4.7e-06 1.2e-02 3.1e-04 1.00e+00 1.723956487e+02 1.724077209e+02 2.7e-09 0.89
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965177e+02 1.724073828e+02 2.5e-09 0.90
52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723972996e+02 1.724070782e+02 2.2e-09 0.91
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980031e+02 1.724068039e+02 2.0e-09 0.92
54 3.1e-06 1.0e-02 2.0e-04 1.00e+00 1.723986361e+02 1.724065568e+02 1.8e-09 0.93
55 2.8e-06 1.0e-02 1.8e-04 1.00e+00 1.723992056e+02 1.724063344e+02 1.6e-09 0.93
56 2.5e-06 9.7e-03 1.7e-04 1.00e+00 1.723997181e+02 1.724061340e+02 1.5e-09 0.94
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001792e+02 1.724059536e+02 1.3e-09 0.95
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724005942e+02 1.724057911e+02 1.2e-09 0.96
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009675e+02 1.724056448e+02 1.1e-09 0.97
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013035e+02 1.724055131e+02 9.5e-10 0.98
61 1.5e-06 8.8e-03 9.8e-05 1.00e+00 1.724016058e+02 1.724053945e+02 8.6e-10 0.99
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018779e+02 1.724052877e+02 7.7e-10 1.00
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021227e+02 1.724051915e+02 7.0e-10 1.01
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023430e+02 1.724051049e+02 6.3e-10 1.02
65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025412e+02 1.724050270e+02 5.6e-10 1.03
66 8.7e-07 8.3e-03 5.8e-05 1.00e+00 1.724027196e+02 1.724049568e+02 5.1e-10 1.13
67 7.8e-07 8.2e-03 5.2e-05 1.00e+00 1.724028801e+02 1.724048936e+02 4.6e-10 1.14
68 7.0e-07 8.1e-03 4.7e-05 1.00e+00 1.724030246e+02 1.724048367e+02 4.1e-10 1.15
69 6.3e-07 8.0e-03 4.2e-05 1.00e+00 1.724031545e+02 1.724047855e+02 3.7e-10 1.16
70 5.7e-07 8.0e-03 3.8e-05 1.00e+00 1.724032715e+02 1.724047394e+02 3.3e-10 1.17
71 5.1e-07 7.9e-03 3.4e-05 1.00e+00 1.724033768e+02 1.724046978e+02 3.0e-10 1.18
72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034715e+02 1.724046605e+02 2.7e-10 1.19
73 4.1e-07 7.8e-03 2.8e-05 1.00e+00 1.724035567e+02 1.724046268e+02 2.4e-10 1.19
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036334e+02 1.724045965e+02 2.2e-10 1.22
75 3.4e-07 7.7e-03 2.2e-05 1.00e+00 1.724037025e+02 1.724045692e+02 2.0e-10 1.23
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037646e+02 1.724045447e+02 1.8e-10 1.24
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038205e+02 1.724045225e+02 1.6e-10 1.25
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038708e+02 1.724045026e+02 1.4e-10 1.25
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039160e+02 1.724044847e+02 1.3e-10 1.26
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039568e+02 1.724044686e+02 1.2e-10 1.27
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039934e+02 1.724044541e+02 1.0e-10 1.28
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040264e+02 1.724044410e+02 9.4e-11 1.29
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040561e+02 1.724044292e+02 8.5e-11 1.30
84 1.3e-07 7.5e-03 8.7e-06 1.00e+00 1.724040828e+02 1.724044186e+02 7.6e-11 1.31
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041068e+02 1.724044091e+02 6.9e-11 1.32
86 1.1e-07 7.4e-03 7.0e-06 1.00e+00 1.724041285e+02 1.724044005e+02 6.2e-11 1.33
87 9.5e-08 7.4e-03 6.3e-06 1.00e+00 1.724041479e+02 1.724043927e+02 5.6e-11 1.34
88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041655e+02 1.724043858e+02 5.0e-11 1.36
89 7.7e-08 7.4e-03 5.1e-06 1.00e+00 1.724041812e+02 1.724043795e+02 4.5e-11 1.37
90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041954e+02 1.724043739e+02 4.0e-11 1.38
91 6.2e-08 7.4e-03 4.2e-06 1.00e+00 1.724042082e+02 1.724043688e+02 3.6e-11 1.39
92 5.6e-08 7.3e-03 3.7e-06 1.00e+00 1.724042197e+02 1.724043642e+02 3.3e-11 1.40
93 5.0e-08 7.3e-03 3.4e-06 9.99e-01 1.724042300e+02 1.724043601e+02 3.0e-11 1.41
94 4.5e-08 7.3e-03 3.0e-06 1.00e+00 1.724042393e+02 1.724043564e+02 2.7e-11 1.44
95 4.1e-08 7.3e-03 2.7e-06 9.99e-01 1.724042477e+02 1.724043531e+02 2.4e-11 1.47
96 3.7e-08 7.3e-03 2.5e-06 1.00e+00 1.724042552e+02 1.724043501e+02 2.2e-11 1.80
97 3.3e-08 7.3e-03 2.2e-06 1.00e+00 1.724042620e+02 1.724043474e+02 1.9e-11 2.44
98 3.0e-08 7.3e-03 2.0e-06 1.00e+00 1.724042681e+02 1.724043449e+02 1.7e-11 3.39
99 2.7e-08 7.3e-03 1.8e-06 9.99e-01 1.724042736e+02 1.724043427e+02 1.6e-11 3.43
100 2.4e-08 7.3e-03 1.6e-06 1.00e+00 1.724042785e+02 1.724043408e+02 1.4e-11 4.22
101 2.2e-08 7.2e-03 1.4e-06 9.99e-01 1.724042830e+02 1.724043390e+02 1.3e-11 4.23
102 2.0e-08 7.2e-03 1.3e-06 9.97e-01 1.724042870e+02 1.724043374e+02 1.1e-11 4.27
103 1.8e-08 7.2e-03 1.2e-06 9.98e-01 1.724042906e+02 1.724043360e+02 1.0e-11 4.28
104 1.6e-08 6.5e-03 1.1e-06 1.00e+00 1.724042938e+02 1.724043347e+02 9.3e-12 4.29
105 3.9e-09 1.6e-03 2.6e-07 1.00e+00 1.724043157e+02 1.724043259e+02 2.3e-12 4.30
106 3.6e-09 1.5e-03 2.4e-07 9.92e-01 1.724043164e+02 1.724043256e+02 2.1e-12 4.31
107 8.1e-10 3.1e-04 5.1e-08 9.86e-01 1.724043216e+02 1.724043236e+02 4.6e-13 4.32
Interior-point optimizer terminated. Time: 4.32.
Optimizer terminated. Time: 4.33
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432158e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432356e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.34 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.284360405e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.262635398e+05 3.636950186e+00 4.8e-01 0.34
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203755993e+05 1.002096563e+01 1.9e-01 0.35
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.156270296e+05 5.939414901e+01 1.3e-01 0.37
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131819780e+05 2.127640188e+03 1.3e-01 0.38
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.750681418e+04 9.253687030e+03 3.6e-02 0.39
6 4.0e+01 5.2e+01 2.2e+03 -2.39e-01 -5.068253671e+04 1.003928740e+04 1.8e-02 0.40
7 3.0e+01 3.9e+01 1.7e+03 2.16e-01 -4.166618294e+04 8.309958899e+03 1.3e-02 0.41
8 1.9e+01 2.4e+01 1.0e+03 3.78e-01 -2.878107570e+04 5.414643157e+03 8.2e-03 0.45
9 8.0e+00 1.0e+01 4.4e+02 5.99e-01 -1.315965412e+04 3.160784951e+03 3.5e-03 0.88
10 4.0e+00 5.1e+00 2.2e+02 8.45e-01 -6.347187572e+03 2.138383481e+03 1.8e-03 1.10
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.502120202e+03 1.318839329e+03 9.9e-04 1.21
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.332363934e+03 6.477125650e+02 4.1e-04 1.34
13 8.3e-01 1.1e+00 4.6e+01 9.70e-01 -1.217516413e+03 6.005384571e+02 3.7e-04 1.46
14 5.9e-01 7.7e-01 3.3e+01 9.74e-01 -8.114696707e+02 4.901685840e+02 2.6e-04 1.54
15 2.1e-01 7.5e-01 1.2e+01 9.90e-01 -1.973513092e+02 2.838927218e+02 9.8e-05 1.57
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.194818298e+01 2.162406553e+02 4.9e-05 1.59
17 7.7e-02 2.8e-01 4.4e+00 1.01e+00 2.773523358e+01 2.014213893e+02 3.6e-05 1.61
18 5.2e-02 2.0e-01 3.0e+00 1.02e+00 7.871293296e+01 1.952118032e+02 2.4e-05 1.63
19 1.5e-02 1.1e-01 8.7e-01 1.00e+00 1.409222395e+02 1.747336018e+02 7.0e-06 1.65
20 4.0e-03 2.2e-01 2.5e-01 1.02e+00 1.602100189e+02 1.696953201e+02 2.0e-06 1.69
21 2.7e-03 2.2e-01 1.7e-01 1.01e+00 1.623237153e+02 1.687771046e+02 1.3e-06 1.72
22 2.0e-03 1.6e-01 1.2e-01 1.00e+00 1.636802017e+02 1.683152487e+02 9.7e-07 1.98
23 7.7e-04 9.6e-02 4.8e-02 1.01e+00 1.657770295e+02 1.676106456e+02 3.9e-07 2.12
24 3.6e-04 8.1e-02 2.3e-02 1.01e+00 1.664801264e+02 1.673455468e+02 1.8e-07 2.13
25 1.5e-04 8.1e-02 9.7e-03 1.01e+00 1.668359667e+02 1.672047011e+02 7.9e-08 2.15
26 1.4e-04 7.4e-02 8.7e-03 1.01e+00 1.668663868e+02 1.671983754e+02 7.1e-08 2.17
27 1.2e-04 6.7e-02 7.8e-03 1.01e+00 1.668896118e+02 1.671882820e+02 6.4e-08 2.18
28 1.1e-04 6.2e-02 7.0e-03 1.01e+00 1.669107967e+02 1.671795196e+02 5.8e-08 2.25
29 1.0e-04 5.6e-02 6.3e-03 1.01e+00 1.669296950e+02 1.671714764e+02 5.2e-08 2.29
30 9.0e-05 5.1e-02 5.7e-03 1.01e+00 1.669466483e+02 1.671641952e+02 4.7e-08 2.39
31 8.1e-05 4.7e-02 5.1e-03 1.01e+00 1.669618523e+02 1.671575983e+02 4.2e-08 2.40
32 7.3e-05 4.3e-02 4.6e-03 1.01e+00 1.669754934e+02 1.671516271e+02 3.8e-08 2.41
33 6.5e-05 4.0e-02 4.2e-03 1.01e+00 1.669877343e+02 1.671462240e+02 3.4e-08 2.42
34 5.9e-05 3.6e-02 3.7e-03 1.01e+00 1.669987207e+02 1.671413364e+02 3.1e-08 2.43
35 5.3e-05 3.4e-02 3.4e-03 1.00e+00 1.670085825e+02 1.671369164e+02 2.8e-08 2.44
36 4.8e-05 3.1e-02 3.0e-03 1.00e+00 1.670174361e+02 1.671329202e+02 2.5e-08 2.45
37 4.3e-05 2.9e-02 2.7e-03 1.00e+00 1.670253856e+02 1.671293081e+02 2.2e-08 2.46
38 3.9e-05 2.7e-02 2.5e-03 1.00e+00 1.670325243e+02 1.671260439e+02 2.0e-08 2.47
39 3.5e-05 2.5e-02 2.2e-03 1.00e+00 1.670389355e+02 1.671230947e+02 1.8e-08 2.48
40 3.1e-05 2.3e-02 2.0e-03 1.00e+00 1.670446943e+02 1.671204306e+02 1.6e-08 2.49
41 2.8e-05 2.2e-02 1.8e-03 1.00e+00 1.670498674e+02 1.671180246e+02 1.5e-08 2.50
42 2.5e-05 2.0e-02 1.6e-03 1.00e+00 1.670545149e+02 1.671158521e+02 1.3e-08 2.51
43 2.3e-05 1.9e-02 1.5e-03 1.00e+00 1.670586908e+02 1.671138908e+02 1.2e-08 2.53
44 2.1e-05 1.8e-02 1.3e-03 1.00e+00 1.670624431e+02 1.671121204e+02 1.1e-08 2.54
45 1.8e-05 1.7e-02 1.2e-03 1.00e+00 1.670658153e+02 1.671105226e+02 9.6e-09 2.55
46 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.670688460e+02 1.671090809e+02 8.7e-09 2.56
47 1.5e-05 1.5e-02 9.5e-04 1.00e+00 1.670715700e+02 1.671077801e+02 7.8e-09 2.57
48 1.3e-05 1.4e-02 8.6e-04 1.00e+00 1.670740187e+02 1.671066068e+02 7.0e-09 2.58
49 1.2e-05 1.4e-02 7.7e-04 1.00e+00 1.670762200e+02 1.671055484e+02 6.3e-09 2.59
50 1.1e-05 1.3e-02 6.9e-04 1.00e+00 1.670781990e+02 1.671045940e+02 5.7e-09 2.61
51 9.8e-06 1.3e-02 6.2e-04 1.00e+00 1.670799783e+02 1.671037333e+02 5.1e-09 2.62
52 8.8e-06 1.2e-02 5.6e-04 1.00e+00 1.670815783e+02 1.671029573e+02 4.6e-09 2.62
53 8.0e-06 1.2e-02 5.1e-04 1.00e+00 1.670830170e+02 1.671022578e+02 4.2e-09 2.63
54 7.2e-06 1.1e-02 4.6e-04 1.00e+00 1.670843109e+02 1.671016273e+02 3.7e-09 2.67
55 6.4e-06 1.1e-02 4.1e-04 1.00e+00 1.670854745e+02 1.671010591e+02 3.4e-09 2.68
56 5.8e-06 1.1e-02 3.7e-04 1.00e+00 1.670865211e+02 1.671005471e+02 3.0e-09 2.69
57 5.2e-06 1.0e-02 3.3e-04 1.00e+00 1.670874624e+02 1.671000857e+02 2.7e-09 2.70
58 1.6e-06 3.3e-03 1.1e-04 1.00e+00 1.670932303e+02 1.670972277e+02 8.6e-10 2.71
59 1.5e-06 3.0e-03 9.5e-05 1.00e+00 1.670934992e+02 1.670970970e+02 7.8e-10 2.72
60 1.3e-06 2.7e-03 8.5e-05 1.00e+00 1.670937431e+02 1.670969812e+02 7.0e-10 2.73
61 5.3e-07 1.1e-03 3.4e-05 1.00e+00 1.670950387e+02 1.670963291e+02 2.8e-10 2.74
62 4.8e-07 9.6e-04 3.1e-05 1.00e+00 1.670951272e+02 1.670962884e+02 2.5e-10 2.75
63 4.3e-07 8.6e-04 2.8e-05 1.00e+00 1.670952043e+02 1.670962493e+02 2.3e-10 2.76
64 3.9e-07 7.7e-04 2.5e-05 1.00e+00 1.670952739e+02 1.670962143e+02 2.0e-10 2.77
65 3.5e-07 7.0e-04 2.2e-05 9.99e-01 1.670953363e+02 1.670961827e+02 1.8e-10 2.79
66 3.1e-07 6.3e-04 2.0e-05 1.00e+00 1.670953925e+02 1.670961543e+02 1.6e-10 2.80
67 2.8e-07 5.6e-04 1.8e-05 1.00e+00 1.670954430e+02 1.670961287e+02 1.5e-10 2.81
68 2.5e-07 5.1e-04 1.6e-05 1.00e+00 1.670954885e+02 1.670961056e+02 1.3e-10 2.82
69 2.3e-07 4.6e-04 1.5e-05 9.99e-01 1.670955294e+02 1.670960848e+02 1.2e-10 2.84
70 2.1e-07 4.1e-04 1.3e-05 1.00e+00 1.670955662e+02 1.670960660e+02 1.1e-10 2.85
71 1.8e-07 3.7e-04 1.2e-05 1.00e+00 1.670955994e+02 1.670960491e+02 9.7e-11 2.86
72 1.7e-07 3.3e-04 1.1e-05 9.98e-01 1.670956292e+02 1.670960340e+02 8.7e-11 2.87
73 1.5e-07 3.0e-04 9.6e-06 9.95e-01 1.670956560e+02 1.670960204e+02 7.9e-11 2.88
74 1.3e-07 2.7e-04 8.6e-06 1.00e+00 1.670956801e+02 1.670960081e+02 7.1e-11 2.89
75 1.2e-07 2.4e-04 7.8e-06 9.96e-01 1.670957018e+02 1.670959970e+02 6.4e-11 2.90
76 1.1e-07 2.2e-04 7.0e-06 1.01e+00 1.670957220e+02 1.670959867e+02 5.8e-11 2.92
77 9.8e-08 2.0e-04 6.3e-06 1.00e+00 1.670957395e+02 1.670959777e+02 5.2e-11 2.93
78 8.8e-08 1.8e-04 5.7e-06 9.97e-01 1.670957553e+02 1.670959697e+02 4.7e-11 2.94
79 8.0e-08 1.6e-04 5.1e-06 9.92e-01 1.670957694e+02 1.670959625e+02 4.2e-11 2.97
80 7.2e-08 1.4e-04 4.6e-06 9.99e-01 1.670957822e+02 1.670959560e+02 3.8e-11 2.98
81 6.4e-08 1.3e-04 4.1e-06 9.94e-01 1.670957937e+02 1.670959502e+02 3.4e-11 2.99
82 5.8e-08 1.2e-04 3.7e-06 1.01e+00 1.670958043e+02 1.670959447e+02 3.1e-11 3.00
83 5.2e-08 1.0e-04 3.3e-06 1.00e+00 1.670958137e+02 1.670959399e+02 2.8e-11 3.01
84 4.7e-08 9.4e-05 3.0e-06 1.01e+00 1.670958224e+02 1.670959354e+02 2.5e-11 3.02
85 4.2e-08 8.5e-05 2.7e-06 9.71e-01 1.670958298e+02 1.670959317e+02 2.2e-11 3.03
86 3.8e-08 7.6e-05 2.4e-06 9.91e-01 1.670958365e+02 1.670959283e+02 2.0e-11 3.04
87 3.4e-08 6.9e-05 2.2e-06 1.01e+00 1.670958428e+02 1.670959250e+02 1.8e-11 3.05
88 3.1e-08 6.2e-05 2.0e-06 1.02e+00 1.670958487e+02 1.670959220e+02 1.7e-11 3.06
89 2.8e-08 5.6e-05 1.8e-06 1.01e+00 1.670958537e+02 1.670959194e+02 1.5e-11 3.07
90 2.5e-08 5.0e-05 1.6e-06 1.01e+00 1.670958582e+02 1.670959171e+02 1.4e-11 3.08
91 2.2e-08 4.5e-05 1.4e-06 9.83e-01 1.670958621e+02 1.670959151e+02 1.2e-11 3.09
92 2.0e-08 4.1e-05 1.3e-06 1.04e+00 1.670958662e+02 1.670959129e+02 1.1e-11 3.11
93 1.8e-08 3.6e-05 1.2e-06 1.02e+00 1.670958696e+02 1.670959112e+02 1.0e-11 3.13
94 1.6e-08 3.3e-05 1.0e-06 1.05e+00 1.670958729e+02 1.670959094e+02 9.3e-12 3.14
95 1.5e-08 3.0e-05 9.4e-07 1.07e+00 1.670958761e+02 1.670959077e+02 8.7e-12 3.16
Interior-point optimizer terminated. Time: 3.16.
Optimizer terminated. Time: 3.17
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587608e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709590775e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.19 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281650037e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260064486e+05 3.586598361e+00 4.8e-01 0.07
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.201037467e+05 9.955027043e+00 1.9e-01 0.14
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.153210062e+05 5.962240880e+01 1.3e-01 0.16
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.127513396e+05 2.237151462e+03 1.3e-01 0.18
5 7.6e+01 9.7e+01 4.2e+03 -7.55e-01 -7.475754295e+04 9.749519494e+03 3.3e-02 0.19
6 3.7e+01 4.7e+01 2.0e+03 -2.00e-01 -4.738517310e+04 1.028817147e+04 1.6e-02 0.21
7 2.3e+01 3.0e+01 1.3e+03 2.71e-01 -3.362168174e+04 7.292184168e+03 1.0e-02 0.22
8 1.4e+01 1.7e+01 7.6e+02 5.18e-01 -2.155807338e+04 4.842490370e+03 6.0e-03 0.23
9 5.4e+00 6.9e+00 3.0e+02 7.18e-01 -8.872510403e+03 2.461235054e+03 2.4e-03 0.24
10 2.4e+00 3.1e+00 1.4e+02 9.11e-01 -3.777327495e+03 1.422692657e+03 1.1e-03 0.25
11 1.8e+00 2.3e+00 1.0e+02 9.74e-01 -2.754278289e+03 1.093074692e+03 7.9e-04 0.26
12 8.1e-01 1.0e+00 4.6e+01 9.82e-01 -1.172186530e+03 5.956570111e+02 3.6e-04 0.27
13 7.5e-01 1.1e+00 4.2e+01 9.46e-01 -1.100302872e+03 5.584998107e+02 3.4e-04 0.28
14 6.2e-01 8.9e-01 3.5e+01 9.87e-01 -8.693295246e+02 5.054052711e+02 2.8e-04 0.30
15 1.8e-01 2.9e-01 1.0e+01 9.89e-01 -1.579527304e+02 2.544987384e+02 8.4e-05 0.31
16 1.0e-01 1.8e-01 5.8e+00 1.01e+00 -1.917033460e+01 2.099840074e+02 4.7e-05 0.32
17 1.0e-01 1.8e-01 5.8e+00 1.02e+00 -1.750103479e+01 2.103208229e+02 4.7e-05 0.45
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.630746684e+01 2.107226784e+02 4.0e-05 0.46
19 4.3e-02 9.8e-02 2.5e+00 1.01e+00 9.144535759e+01 1.875634083e+02 2.0e-05 0.47
20 1.2e-02 1.6e-01 7.1e-01 1.01e+00 1.464215366e+02 1.736013840e+02 5.7e-06 0.48
21 4.7e-03 3.6e-01 2.8e-01 1.01e+00 1.584906667e+02 1.691033088e+02 2.3e-06 0.55
22 1.2e-03 1.8e-01 7.5e-02 1.01e+00 1.645724826e+02 1.674403894e+02 6.1e-07 0.57
23 6.6e-04 1.2e-01 4.1e-02 9.80e-01 1.655128396e+02 1.670779522e+02 3.4e-07 0.58
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662879378e+02 1.667831362e+02 1.1e-07 0.60
25 6.9e-05 1.0e-01 4.5e-03 1.01e+00 1.665171020e+02 1.666889246e+02 3.8e-08 0.61
26 3.1e-05 8.7e-02 2.1e-03 1.01e+00 1.665829613e+02 1.666610873e+02 1.8e-08 0.64
27 2.8e-05 7.9e-02 1.9e-03 1.01e+00 1.665892616e+02 1.666595800e+02 1.6e-08 0.66
28 2.5e-05 7.2e-02 1.7e-03 1.00e+00 1.665940969e+02 1.666573665e+02 1.4e-08 0.67
29 2.3e-05 6.6e-02 1.5e-03 1.00e+00 1.665985128e+02 1.666554472e+02 1.3e-08 0.68
30 2.0e-05 6.0e-02 1.4e-03 1.00e+00 1.666024744e+02 1.666537076e+02 1.1e-08 0.69
31 1.8e-05 5.5e-02 1.2e-03 1.00e+00 1.666060355e+02 1.666521389e+02 1.0e-08 0.70
32 1.7e-05 5.0e-02 1.1e-03 1.00e+00 1.666092355e+02 1.666507234e+02 9.3e-09 0.71
33 1.5e-05 4.6e-02 9.9e-04 1.00e+00 1.666121116e+02 1.666494464e+02 8.4e-09 0.72
34 1.3e-05 4.2e-02 8.9e-04 1.00e+00 1.666146968e+02 1.666482945e+02 7.5e-09 0.73
35 1.2e-05 3.9e-02 8.0e-04 1.00e+00 1.666170205e+02 1.666472555e+02 6.8e-09 0.74
36 1.1e-05 3.5e-02 7.2e-04 1.00e+00 1.666191094e+02 1.666463186e+02 6.1e-09 0.75
37 9.8e-06 3.3e-02 6.5e-04 1.00e+00 1.666209873e+02 1.666454736e+02 5.5e-09 0.76
38 8.8e-06 3.0e-02 5.9e-04 1.00e+00 1.666226756e+02 1.666447117e+02 5.0e-09 0.77
39 7.9e-06 2.8e-02 5.3e-04 1.00e+00 1.666241935e+02 1.666440247e+02 4.5e-09 0.79
40 7.1e-06 2.6e-02 4.7e-04 1.00e+00 1.666255583e+02 1.666434054e+02 4.0e-09 0.80
41 6.4e-06 2.4e-02 4.3e-04 1.00e+00 1.666267855e+02 1.666428471e+02 3.6e-09 0.81
42 5.8e-06 2.3e-02 3.8e-04 1.00e+00 1.666278890e+02 1.666423437e+02 3.3e-09 0.91
43 5.2e-06 2.1e-02 3.5e-04 1.00e+00 1.666288813e+02 1.666418900e+02 2.9e-09 0.92
44 4.7e-06 2.0e-02 3.1e-04 1.00e+00 1.666297737e+02 1.666414811e+02 2.6e-09 0.93
45 4.2e-06 1.9e-02 2.8e-04 1.00e+00 1.666305761e+02 1.666411124e+02 2.4e-09 0.94
46 3.8e-06 1.7e-02 2.5e-04 1.00e+00 1.666312977e+02 1.666407801e+02 2.1e-09 0.96
47 3.4e-06 1.7e-02 2.3e-04 1.00e+00 1.666319466e+02 1.666404805e+02 1.9e-09 0.97
48 3.1e-06 1.6e-02 2.0e-04 1.00e+00 1.666325301e+02 1.666402104e+02 1.7e-09 0.99
49 2.8e-06 1.5e-02 1.8e-04 1.00e+00 1.666330547e+02 1.666399670e+02 1.6e-09 1.00
50 2.5e-06 1.4e-02 1.7e-04 1.00e+00 1.666335266e+02 1.666397475e+02 1.4e-09 1.01
51 2.2e-06 1.4e-02 1.5e-04 1.00e+00 1.666339510e+02 1.666395497e+02 1.3e-09 1.02
52 2.0e-06 1.3e-02 1.3e-04 1.00e+00 1.666343326e+02 1.666393714e+02 1.1e-09 1.05
53 1.8e-06 1.2e-02 1.2e-04 1.00e+00 1.666346759e+02 1.666392108e+02 1.0e-09 1.06
54 1.6e-06 1.2e-02 1.1e-04 1.00e+00 1.666349847e+02 1.666390660e+02 9.2e-10 1.14
55 1.5e-06 1.2e-02 9.8e-05 1.00e+00 1.666352625e+02 1.666389356e+02 8.3e-10 1.15
56 1.3e-06 1.1e-02 8.8e-05 1.00e+00 1.666355123e+02 1.666388181e+02 7.4e-10 1.17
57 1.2e-06 1.1e-02 7.9e-05 1.00e+00 1.666357370e+02 1.666387122e+02 6.7e-10 1.19
58 1.1e-06 1.1e-02 7.1e-05 1.00e+00 1.666359392e+02 1.666386168e+02 6.0e-10 1.23
59 9.6e-07 1.0e-02 6.4e-05 1.00e+00 1.666361209e+02 1.666385308e+02 5.4e-10 1.23
60 8.7e-07 1.0e-02 5.8e-05 1.00e+00 1.666362844e+02 1.666384533e+02 4.9e-10 1.25
61 7.8e-07 9.9e-03 5.2e-05 1.00e+00 1.666364315e+02 1.666383835e+02 4.4e-10 1.26
62 7.0e-07 9.7e-03 4.7e-05 1.00e+00 1.666365637e+02 1.666383206e+02 4.0e-10 1.27
63 6.3e-07 9.5e-03 4.2e-05 1.00e+00 1.666366827e+02 1.666382638e+02 3.6e-10 1.28
64 5.7e-07 9.3e-03 3.8e-05 1.00e+00 1.666367896e+02 1.666382126e+02 3.2e-10 1.29
65 5.1e-07 9.2e-03 3.4e-05 1.00e+00 1.666368858e+02 1.666381665e+02 2.9e-10 1.30
66 4.6e-07 9.0e-03 3.1e-05 1.00e+00 1.666369723e+02 1.666381249e+02 2.6e-10 1.31
67 4.1e-07 8.9e-03 2.8e-05 1.00e+00 1.666370500e+02 1.666380874e+02 2.3e-10 1.33
68 3.7e-07 8.8e-03 2.5e-05 1.00e+00 1.666371200e+02 1.666380536e+02 2.1e-10 1.42
69 3.4e-07 8.7e-03 2.2e-05 1.00e+00 1.666371828e+02 1.666380231e+02 1.9e-10 1.43
70 3.0e-07 8.6e-03 2.0e-05 1.00e+00 1.666372394e+02 1.666379957e+02 1.7e-10 1.44
71 2.7e-07 8.5e-03 1.8e-05 1.00e+00 1.666372903e+02 1.666379709e+02 1.5e-10 1.47
72 2.4e-07 8.5e-03 1.6e-05 1.00e+00 1.666373360e+02 1.666379486e+02 1.4e-10 1.56
73 2.2e-07 8.4e-03 1.5e-05 1.00e+00 1.666373772e+02 1.666379284e+02 1.2e-10 1.57
74 2.0e-07 8.3e-03 1.3e-05 1.00e+00 1.666374142e+02 1.666379103e+02 1.1e-10 1.58
75 1.8e-07 8.3e-03 1.2e-05 1.00e+00 1.666374475e+02 1.666378940e+02 1.0e-10 1.60
76 1.6e-07 8.2e-03 1.1e-05 1.00e+00 1.666374775e+02 1.666378794e+02 9.1e-11 1.61
77 1.4e-07 8.2e-03 9.6e-06 1.00e+00 1.666375045e+02 1.666378661e+02 8.1e-11 1.66
78 1.3e-07 8.1e-03 8.7e-06 1.00e+00 1.666375287e+02 1.666378542e+02 7.3e-11 1.67
79 1.2e-07 8.1e-03 7.8e-06 9.97e-01 1.666375505e+02 1.666378435e+02 6.6e-11 1.68
80 1.1e-07 8.0e-03 7.0e-06 9.98e-01 1.666375702e+02 1.666378339e+02 5.9e-11 1.69
81 9.5e-08 8.0e-03 6.3e-06 9.99e-01 1.666375879e+02 1.666378252e+02 5.3e-11 1.70
82 8.5e-08 7.9e-03 5.7e-06 9.98e-01 1.666376038e+02 1.666378174e+02 4.8e-11 1.71
83 7.7e-08 7.9e-03 5.1e-06 1.00e+00 1.666376181e+02 1.666378103e+02 4.3e-11 1.72
84 6.9e-08 7.9e-03 4.6e-06 9.99e-01 1.666376310e+02 1.666378040e+02 3.9e-11 1.73
85 6.2e-08 7.8e-03 4.1e-06 9.97e-01 1.666376425e+02 1.666377983e+02 3.5e-11 1.75
86 5.6e-08 7.8e-03 3.7e-06 9.99e-01 1.666376530e+02 1.666377932e+02 3.2e-11 1.76
87 5.0e-08 7.8e-03 3.4e-06 9.95e-01 1.666376624e+02 1.666377886e+02 2.8e-11 1.77
88 4.5e-08 7.0e-03 3.0e-06 1.01e+00 1.666376709e+02 1.666377843e+02 2.6e-11 1.78
89 4.1e-08 6.3e-03 2.7e-06 9.95e-01 1.666376785e+02 1.666377806e+02 2.3e-11 1.80
90 3.7e-08 5.7e-03 2.4e-06 9.99e-01 1.666376854e+02 1.666377772e+02 2.1e-11 1.88
91 3.3e-08 5.1e-03 2.2e-06 9.95e-01 1.666376915e+02 1.666377742e+02 1.9e-11 1.89
92 3.0e-08 4.6e-03 2.0e-06 9.91e-01 1.666376970e+02 1.666377715e+02 1.7e-11 1.91
93 2.7e-08 4.1e-03 1.8e-06 9.81e-01 1.666377020e+02 1.666377691e+02 1.5e-11 1.92
94 2.4e-08 3.7e-03 1.6e-06 9.93e-01 1.666377065e+02 1.666377669e+02 1.4e-11 1.93
95 2.2e-08 3.3e-03 1.4e-06 9.90e-01 1.666377105e+02 1.666377649e+02 1.2e-11 1.96
96 2.0e-08 3.0e-03 1.3e-06 1.00e+00 1.666377142e+02 1.666377631e+02 1.1e-11 1.97
97 1.8e-08 2.7e-03 1.2e-06 1.03e+00 1.666377179e+02 1.666377612e+02 1.0e-11 1.99
98 1.6e-08 2.4e-03 1.1e-06 9.88e-01 1.666377208e+02 1.666377598e+02 9.1e-12 2.00
99 1.4e-08 2.2e-03 9.5e-07 9.83e-01 1.666377234e+02 1.666377585e+02 8.2e-12 2.08
100 1.3e-08 2.0e-03 8.5e-07 9.78e-01 1.666377257e+02 1.666377574e+02 7.3e-12 2.09
101 1.2e-08 1.8e-03 7.7e-07 1.01e+00 1.666377279e+02 1.666377563e+02 6.6e-12 2.10
102 1.0e-08 1.6e-03 6.9e-07 9.67e-01 1.666377298e+02 1.666377554e+02 6.0e-12 2.12
103 9.4e-09 1.4e-03 6.2e-07 9.68e-01 1.666377315e+02 1.666377546e+02 5.4e-12 2.13
104 8.4e-09 1.3e-03 5.6e-07 1.05e+00 1.666377333e+02 1.666377536e+02 4.9e-12 2.14
105 7.6e-09 1.2e-03 5.0e-07 9.83e-01 1.666377347e+02 1.666377529e+02 4.4e-12 2.15
106 6.8e-09 1.1e-03 4.5e-07 9.89e-01 1.666377359e+02 1.666377523e+02 4.0e-12 2.17
107 6.2e-09 9.5e-04 4.1e-07 9.60e-01 1.666377370e+02 1.666377518e+02 3.6e-12 2.18
108 5.6e-09 8.5e-04 3.7e-07 9.40e-01 1.666377380e+02 1.666377513e+02 3.2e-12 2.19
109 5.0e-09 7.7e-04 3.3e-07 9.36e-01 1.666377389e+02 1.666377509e+02 2.9e-12 2.21
110 4.6e-09 6.9e-04 3.0e-07 9.68e-01 1.666377397e+02 1.666377505e+02 2.6e-12 2.22
111 4.2e-09 6.2e-04 2.7e-07 9.26e-01 1.666377404e+02 1.666377502e+02 2.4e-12 2.24
112 3.7e-09 5.6e-04 2.4e-07 1.23e+00 1.666377410e+02 1.666377498e+02 2.1e-12 2.25
113 3.4e-09 5.0e-04 2.2e-07 1.10e+00 1.666377419e+02 1.666377493e+02 2.0e-12 2.26
114 3.5e-09 6.5e-05 2.8e-08 1.06e+00 1.666377462e+02 1.666377471e+02 2.2e-13 2.27
Interior-point optimizer terminated. Time: 2.27.
Optimizer terminated. Time: 2.28
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774618e+02 Viol. con: 7e-08 var: 0e+00
Dual. obj: 1.6663774710e+02 Viol. con: 0e+00 var: 4e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.3 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281256835e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259652931e+05 3.580273346e+00 4.8e-01 0.06
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.199461542e+05 1.005557392e+01 1.9e-01 0.07
3 2.9e+02 3.7e+02 1.6e+04 -8.41e-01 -1.152369990e+05 6.133796456e+01 1.3e-01 0.12
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.125939098e+05 2.293609535e+03 1.3e-01 0.13
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.359845730e+04 9.834563524e+03 3.2e-02 0.14
6 3.6e+01 4.5e+01 2.0e+03 -1.82e-01 -4.627609093e+04 1.009596284e+04 1.6e-02 0.15
7 2.1e+01 2.7e+01 1.2e+03 2.90e-01 -3.084224361e+04 6.881673113e+03 9.2e-03 0.16
8 1.2e+01 1.6e+01 6.7e+02 5.65e-01 -1.932392612e+04 4.483628690e+03 5.4e-03 0.17
9 4.7e+00 6.0e+00 2.6e+02 7.54e-01 -7.701990067e+03 2.174751975e+03 2.1e-03 0.18
10 2.3e+00 2.9e+00 1.3e+02 9.26e-01 -3.516866981e+03 1.397320200e+03 1.0e-03 0.19
11 1.5e+00 1.9e+00 8.4e+01 9.76e-01 -2.278063330e+03 9.686760913e+02 6.7e-04 0.20
12 8.5e-01 1.1e+00 4.7e+01 9.85e-01 -1.223619985e+03 6.225976926e+02 3.8e-04 0.21
13 7.5e-01 9.9e-01 4.2e+01 9.54e-01 -1.085113546e+03 5.622492260e+02 3.3e-04 0.22
14 3.7e-01 4.9e-01 2.1e+01 9.85e-01 -4.368165768e+02 3.757289150e+02 1.7e-04 1.13
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.425571570e+02 2.585351504e+02 8.2e-05 2.07
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 5.484496487e+00 2.044127706e+02 4.1e-05 2.45
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.455531714e+01 2.066562294e+02 4.0e-05 2.72
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 6.001215346e+01 1.948456295e+02 2.8e-05 2.91
19 2.9e-02 7.3e-02 1.7e+00 1.01e+00 1.156051767e+02 1.809648175e+02 1.4e-05 3.28
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.526398143e+02 1.716139736e+02 4.0e-06 3.40
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622522131e+02 1.679613482e+02 1.2e-06 4.73
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639807342e+02 1.674413346e+02 7.3e-07 5.69
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656593395e+02 1.668669765e+02 2.6e-07 7.24
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661981691e+02 1.666657459e+02 1.0e-07 7.90
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662345733e+02 1.666552714e+02 9.2e-08 7.99
26 1.6e-04 7.9e-02 9.9e-03 1.01e+00 1.662646309e+02 1.666431179e+02 8.3e-08 9.02
27 1.4e-04 7.2e-02 8.9e-03 1.01e+00 1.662918626e+02 1.666323888e+02 7.5e-08 9.64
28 1.3e-04 6.6e-02 8.0e-03 1.01e+00 1.663162459e+02 1.666226262e+02 6.7e-08 9.71
29 1.2e-04 6.0e-02 7.2e-03 1.01e+00 1.663381281e+02 1.666137936e+02 6.0e-08 9.72
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663577600e+02 1.666057959e+02 5.4e-08 9.74
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663753750e+02 1.665985555e+02 4.9e-08 9.75
32 8.4e-05 4.6e-02 5.3e-03 1.01e+00 1.663911809e+02 1.665920013e+02 4.4e-08 9.77
33 7.6e-05 4.2e-02 4.7e-03 1.01e+00 1.664053647e+02 1.665860687e+02 4.0e-08 9.78
34 6.8e-05 3.9e-02 4.3e-03 1.01e+00 1.664180941e+02 1.665806999e+02 3.6e-08 9.81
35 6.2e-05 3.5e-02 3.8e-03 1.01e+00 1.664295194e+02 1.665758422e+02 3.2e-08 9.82
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664397754e+02 1.665714478e+02 2.9e-08 9.85
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664489827e+02 1.665674733e+02 2.6e-08 9.86
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664572496e+02 1.665638795e+02 2.3e-08 9.87
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664646728e+02 1.665606304e+02 2.1e-08 9.88
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664713393e+02 1.665576937e+02 1.9e-08 9.89
41 3.3e-05 2.2e-02 2.0e-03 1.00e+00 1.664773267e+02 1.665550398e+02 1.7e-08 9.90
42 2.9e-05 2.1e-02 1.8e-03 1.00e+00 1.664827048e+02 1.665526419e+02 1.5e-08 9.91
43 2.6e-05 2.0e-02 1.7e-03 1.00e+00 1.664875361e+02 1.665504758e+02 1.4e-08 9.92
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664918765e+02 1.665485195e+02 1.2e-08 9.93
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664957765e+02 1.665467529e+02 1.1e-08 9.94
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664992809e+02 1.665451580e+02 1.0e-08 10.04
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665024304e+02 1.665437184e+02 9.1e-09 10.06
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665052611e+02 1.665424193e+02 8.2e-09 10.07
49 1.4e-05 1.4e-02 8.8e-04 1.00e+00 1.665078056e+02 1.665412472e+02 7.4e-09 10.15
50 1.3e-05 1.4e-02 7.9e-04 1.00e+00 1.665100931e+02 1.665401900e+02 6.6e-09 10.17
51 1.1e-05 1.3e-02 7.1e-04 1.00e+00 1.665121498e+02 1.665392365e+02 6.0e-09 10.19
52 1.0e-05 1.2e-02 6.4e-04 1.00e+00 1.665139991e+02 1.665383769e+02 5.4e-09 10.26
53 9.2e-06 1.2e-02 5.8e-04 1.00e+00 1.665156621e+02 1.665376019e+02 4.8e-09 10.28
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665171577e+02 1.665369034e+02 4.3e-09 10.41
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665185029e+02 1.665362739e+02 3.9e-09 10.43
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665197128e+02 1.665357067e+02 3.5e-09 10.64
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665208011e+02 1.665351956e+02 3.2e-09 10.66
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217800e+02 1.665347351e+02 2.9e-09 10.69
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226606e+02 1.665343202e+02 2.6e-09 10.71
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234527e+02 1.665339464e+02 2.3e-09 10.73
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241652e+02 1.665336096e+02 2.1e-09 10.74
62 3.6e-06 9.5e-03 2.2e-04 1.00e+00 1.665248061e+02 1.665333061e+02 1.9e-09 10.75
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253825e+02 1.665330326e+02 1.7e-09 10.76
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665259010e+02 1.665327861e+02 1.5e-09 10.77
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263673e+02 1.665325640e+02 1.4e-09 10.78
66 2.3e-06 9.0e-03 1.5e-04 1.00e+00 1.665267868e+02 1.665323638e+02 1.2e-09 10.79
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271642e+02 1.665321835e+02 1.1e-09 10.88
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665275036e+02 1.665320211e+02 1.0e-09 10.94
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665278090e+02 1.665318747e+02 9.0e-10 10.95
70 1.5e-06 8.6e-03 9.6e-05 1.00e+00 1.665280838e+02 1.665317429e+02 8.1e-10 10.97
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283309e+02 1.665316242e+02 7.3e-10 10.99
72 1.2e-06 8.5e-03 7.8e-05 1.00e+00 1.665285532e+02 1.665315172e+02 6.5e-10 11.02
73 1.1e-06 8.5e-03 7.0e-05 1.00e+00 1.665287533e+02 1.665314209e+02 5.9e-10 11.03
74 1.0e-06 8.4e-03 6.3e-05 1.00e+00 1.665289332e+02 1.665313340e+02 5.3e-10 11.04
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290950e+02 1.665312558e+02 4.8e-10 11.07
76 8.2e-07 8.3e-03 5.1e-05 1.00e+00 1.665292406e+02 1.665311853e+02 4.3e-10 11.08
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293715e+02 1.665311218e+02 3.9e-10 11.09
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294893e+02 1.665310646e+02 3.5e-10 11.10
79 6.0e-07 8.2e-03 3.7e-05 1.00e+00 1.665295952e+02 1.665310130e+02 3.1e-10 11.11
80 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.665296904e+02 1.665309664e+02 2.8e-10 11.13
81 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.665297761e+02 1.665309245e+02 2.5e-10 11.14
82 4.4e-07 8.1e-03 2.7e-05 1.00e+00 1.665298531e+02 1.665308867e+02 2.3e-10 11.15
83 3.9e-07 8.1e-03 2.5e-05 9.99e-01 1.665299224e+02 1.665308526e+02 2.1e-10 11.16
84 3.5e-07 8.0e-03 2.2e-05 1.00e+00 1.665299847e+02 1.665308219e+02 1.8e-10 11.17
85 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.665300407e+02 1.665307942e+02 1.7e-10 11.18
86 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.665300910e+02 1.665307693e+02 1.5e-10 11.19
87 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.665301364e+02 1.665307468e+02 1.3e-10 11.20
88 2.3e-07 7.9e-03 1.4e-05 1.00e+00 1.665301771e+02 1.665307265e+02 1.2e-10 11.22
89 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.665302138e+02 1.665307082e+02 1.1e-10 11.23
90 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.665302468e+02 1.665306918e+02 9.8e-11 11.34
91 1.7e-07 7.9e-03 1.1e-05 9.99e-01 1.665302765e+02 1.665306770e+02 8.8e-11 11.35
92 1.5e-07 7.9e-03 9.5e-06 1.00e+00 1.665303032e+02 1.665306636e+02 7.9e-11 11.36
93 1.4e-07 7.8e-03 8.6e-06 1.00e+00 1.665303272e+02 1.665306516e+02 7.2e-11 11.37
94 1.2e-07 7.8e-03 7.7e-06 1.00e+00 1.665303488e+02 1.665306408e+02 6.4e-11 11.39
95 1.1e-07 7.8e-03 6.9e-06 9.96e-01 1.665303683e+02 1.665306311e+02 5.8e-11 11.40
96 1.0e-07 7.8e-03 6.2e-06 9.99e-01 1.665303858e+02 1.665306223e+02 5.2e-11 11.42
97 9.0e-08 7.8e-03 5.6e-06 1.00e+00 1.665304015e+02 1.665306144e+02 4.7e-11 11.43
98 8.1e-08 7.0e-03 5.1e-06 1.00e+00 1.665304158e+02 1.665306072e+02 4.2e-11 11.44
99 7.3e-08 6.3e-03 4.5e-06 1.00e+00 1.665304286e+02 1.665306007e+02 3.8e-11 11.45
100 6.5e-08 5.7e-03 4.1e-06 1.00e+00 1.665304401e+02 1.665305950e+02 3.4e-11 11.53
101 5.9e-08 5.1e-03 3.7e-06 9.87e-01 1.665304504e+02 1.665305899e+02 3.1e-11 11.74
102 5.3e-08 4.6e-03 3.3e-06 9.96e-01 1.665304597e+02 1.665305852e+02 2.8e-11 11.76
103 4.8e-08 4.1e-03 3.0e-06 1.00e+00 1.665304680e+02 1.665305810e+02 2.5e-11 11.78
104 4.3e-08 3.7e-03 2.7e-06 1.00e+00 1.665304756e+02 1.665305772e+02 2.2e-11 11.80
105 3.9e-08 3.3e-03 2.4e-06 9.97e-01 1.665304823e+02 1.665305738e+02 2.0e-11 11.81
106 3.5e-08 3.0e-03 2.2e-06 1.01e+00 1.665304887e+02 1.665305706e+02 1.8e-11 11.89
107 3.1e-08 2.7e-03 2.0e-06 9.95e-01 1.665304941e+02 1.665305678e+02 1.6e-11 11.96
108 2.8e-08 2.4e-03 1.8e-06 9.85e-01 1.665304990e+02 1.665305654e+02 1.5e-11 11.97
109 2.5e-08 2.2e-03 1.6e-06 9.92e-01 1.665305034e+02 1.665305632e+02 1.3e-11 11.98
110 2.3e-08 2.0e-03 1.4e-06 9.96e-01 1.665305074e+02 1.665305612e+02 1.2e-11 12.00
111 2.0e-08 1.8e-03 1.3e-06 1.01e+00 1.665305111e+02 1.665305593e+02 1.1e-11 12.02
112 1.8e-08 1.6e-03 1.2e-06 9.97e-01 1.665305143e+02 1.665305577e+02 9.8e-12 12.03
113 1.7e-08 1.4e-03 1.0e-06 1.02e+00 1.665305174e+02 1.665305561e+02 8.9e-12 12.11
114 1.5e-08 1.3e-03 9.4e-07 1.01e+00 1.665305201e+02 1.665305548e+02 8.0e-12 12.12
115 1.3e-08 1.2e-03 8.4e-07 9.99e-01 1.665305224e+02 1.665305536e+02 7.2e-12 12.13
116 1.2e-08 1.0e-03 7.6e-07 9.71e-01 1.665305245e+02 1.665305527e+02 6.5e-12 12.20
117 1.1e-08 9.4e-04 6.8e-07 1.01e+00 1.665305264e+02 1.665305517e+02 5.9e-12 12.20
118 9.8e-09 8.5e-04 6.1e-07 1.00e+00 1.665305281e+02 1.665305508e+02 5.3e-12 12.22
119 8.8e-09 7.7e-04 5.5e-07 9.92e-01 1.665305296e+02 1.665305501e+02 4.8e-12 12.23
120 8.0e-09 6.9e-04 5.0e-07 1.02e+00 1.665305311e+02 1.665305493e+02 4.3e-12 12.24
121 7.2e-09 6.2e-04 4.5e-07 9.77e-01 1.665305323e+02 1.665305487e+02 3.9e-12 12.25
122 6.5e-09 5.6e-04 4.0e-07 9.79e-01 1.665305334e+02 1.665305482e+02 3.5e-12 12.27
123 5.8e-09 5.0e-04 3.6e-07 9.98e-01 1.665305344e+02 1.665305477e+02 3.2e-12 12.29
124 5.3e-09 4.5e-04 3.3e-07 9.35e-01 1.665305352e+02 1.665305473e+02 2.8e-12 12.30
125 4.7e-09 4.1e-04 2.9e-07 1.05e+00 1.665305362e+02 1.665305467e+02 2.6e-12 12.32
126 4.3e-09 3.7e-04 2.6e-07 9.69e-01 1.665305369e+02 1.665305464e+02 2.4e-12 12.33
127 3.9e-09 3.3e-04 2.4e-07 9.62e-01 1.665305375e+02 1.665305461e+02 2.1e-12 12.33
128 3.5e-09 3.0e-04 2.1e-07 1.07e+00 1.665305383e+02 1.665305457e+02 2.0e-12 12.34
129 3.2e-09 2.7e-04 1.9e-07 1.01e+00 1.665305388e+02 1.665305454e+02 1.8e-12 12.43
130 2.8e-09 2.4e-04 1.7e-07 1.03e+00 1.665305393e+02 1.665305452e+02 1.6e-12 12.44
131 5.3e-10 2.5e-05 1.8e-08 9.96e-01 1.665305428e+02 1.665305434e+02 1.7e-13 12.45
Interior-point optimizer terminated. Time: 12.45.
Optimizer terminated. Time: 12.46
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054278e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.6653054339e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 12.5 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281219225e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259510014e+05 3.575672595e+00 4.8e-01 0.08
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.198706847e+05 1.013520815e+01 1.9e-01 0.08
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.151566025e+05 6.243045513e+01 1.2e-01 0.11
4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125384740e+05 2.273182430e+03 1.2e-01 0.13
5 7.5e+01 9.6e+01 4.1e+03 -7.53e-01 -7.445605449e+04 9.639358639e+03 3.3e-02 0.14
6 3.3e+01 4.2e+01 1.8e+03 -1.95e-01 -4.330177281e+04 1.030586492e+04 1.4e-02 0.19
7 1.9e+01 2.5e+01 1.1e+03 3.42e-01 -2.853323900e+04 6.914887065e+03 8.5e-03 0.20
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.808894470e+04 4.388508272e+03 5.0e-03 0.22
9 4.5e+00 5.7e+00 2.5e+02 7.74e-01 -7.326210788e+03 2.100233115e+03 2.0e-03 0.23
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.203272282e+03 1.327239350e+03 9.3e-04 0.26
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.002124936e+03 8.889959150e+02 6.0e-04 0.33
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.160049972e+03 6.061239818e+02 3.6e-04 0.35
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.074190654e+02 5.061546710e+02 2.9e-04 0.40
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.159485317e+02 3.800109148e+02 1.6e-04 0.43
15 1.8e-01 2.4e-01 9.9e+00 9.93e-01 -1.329963513e+02 2.580949113e+02 8.0e-05 0.44
16 7.9e-02 1.3e-01 4.5e+00 1.01e+00 2.194838055e+01 1.995884194e+02 3.7e-05 0.46
17 6.8e-02 1.1e-01 3.9e+00 1.02e+00 4.516594865e+01 1.977867464e+02 3.2e-05 0.51
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.183234550e+02 1.806140735e+02 1.3e-05 0.55
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.533665041e+02 1.714093961e+02 3.8e-06 0.63
20 2.9e-03 2.4e-01 1.7e-01 1.00e+00 1.613683241e+02 1.680689396e+02 1.4e-06 0.64
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635977293e+02 1.674592381e+02 8.2e-07 0.65
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656258677e+02 1.668059049e+02 2.6e-07 0.66
23 1.8e-04 1.1e-01 1.1e-02 1.01e+00 1.661712217e+02 1.666014828e+02 9.5e-08 0.71
24 8.3e-05 8.8e-02 5.3e-03 1.01e+00 1.663353068e+02 1.665344360e+02 4.4e-08 0.75
25 3.7e-05 8.0e-02 2.4e-03 1.01e+00 1.664121468e+02 1.665025014e+02 2.0e-08 0.80
26 3.4e-05 7.3e-02 2.2e-03 1.01e+00 1.664199934e+02 1.665013347e+02 1.8e-08 0.81
27 3.0e-05 6.6e-02 1.9e-03 1.01e+00 1.664255139e+02 1.664986933e+02 1.6e-08 0.81
28 2.7e-05 6.1e-02 1.7e-03 1.01e+00 1.664306041e+02 1.664964513e+02 1.5e-08 0.82
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664351587e+02 1.664944090e+02 1.3e-08 0.83
30 2.2e-05 5.1e-02 1.4e-03 1.01e+00 1.664392528e+02 1.664925682e+02 1.2e-08 0.84
31 2.0e-05 4.6e-02 1.3e-03 1.00e+00 1.664429303e+02 1.664909060e+02 1.1e-08 0.86
32 1.8e-05 4.2e-02 1.1e-03 1.00e+00 1.664462344e+02 1.664894059e+02 9.7e-09 0.87
33 1.6e-05 3.9e-02 1.0e-03 1.00e+00 1.664492033e+02 1.664880523e+02 8.7e-09 0.88
34 1.5e-05 3.6e-02 9.3e-04 1.00e+00 1.664518713e+02 1.664868310e+02 7.8e-09 0.89
35 1.3e-05 3.3e-02 8.3e-04 1.00e+00 1.664542692e+02 1.664857295e+02 7.1e-09 0.90
36 1.2e-05 3.0e-02 7.5e-04 1.00e+00 1.664564246e+02 1.664847360e+02 6.4e-09 0.92
37 1.1e-05 2.8e-02 6.8e-04 1.00e+00 1.664583622e+02 1.664838401e+02 5.7e-09 0.93
38 9.5e-06 2.6e-02 6.1e-04 1.00e+00 1.664601041e+02 1.664830324e+02 5.2e-09 0.99
39 8.6e-06 2.4e-02 5.5e-04 1.00e+00 1.664616703e+02 1.664823043e+02 4.6e-09 1.00
40 7.7e-06 2.3e-02 4.9e-04 1.00e+00 1.664630787e+02 1.664816481e+02 4.2e-09 1.01
41 6.9e-06 2.1e-02 4.4e-04 1.00e+00 1.664643452e+02 1.664810567e+02 3.8e-09 1.03
42 6.3e-06 2.0e-02 4.0e-04 1.00e+00 1.664654843e+02 1.664805239e+02 3.4e-09 1.04
43 5.6e-06 1.9e-02 3.6e-04 1.00e+00 1.664665088e+02 1.664800439e+02 3.0e-09 1.05
44 5.1e-06 1.7e-02 3.2e-04 1.00e+00 1.664674303e+02 1.664796114e+02 2.7e-09 1.06
45 4.6e-06 1.6e-02 2.9e-04 1.00e+00 1.664682593e+02 1.664792219e+02 2.5e-09 1.07
46 4.1e-06 1.6e-02 2.6e-04 1.00e+00 1.664690049e+02 1.664788710e+02 2.2e-09 1.08
47 3.7e-06 1.5e-02 2.4e-04 1.00e+00 1.664696757e+02 1.664785549e+02 2.0e-09 1.09
48 3.3e-06 1.4e-02 2.1e-04 1.00e+00 1.664702791e+02 1.664782703e+02 1.8e-09 1.10
49 3.0e-06 1.3e-02 1.9e-04 1.00e+00 1.664708219e+02 1.664780138e+02 1.6e-09 1.11
50 2.7e-06 1.3e-02 1.7e-04 1.00e+00 1.664713103e+02 1.664777829e+02 1.5e-09 1.13
51 2.4e-06 1.2e-02 1.5e-04 1.00e+00 1.664717496e+02 1.664775749e+02 1.3e-09 1.14
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664721450e+02 1.664773876e+02 1.2e-09 1.20
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664725008e+02 1.664772191e+02 1.1e-09 1.22
54 1.8e-06 1.1e-02 1.1e-04 1.00e+00 1.664728209e+02 1.664770674e+02 9.6e-10 1.24
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664731090e+02 1.664769308e+02 8.6e-10 1.25
56 1.4e-06 1.0e-02 9.1e-05 1.00e+00 1.664733683e+02 1.664768079e+02 7.7e-10 1.26
57 1.3e-06 1.0e-02 8.2e-05 1.00e+00 1.664736016e+02 1.664766973e+02 7.0e-10 1.28
58 1.2e-06 9.9e-03 7.4e-05 1.00e+00 1.664738116e+02 1.664765977e+02 6.3e-10 1.29
59 1.0e-06 9.6e-03 6.7e-05 1.00e+00 1.664740006e+02 1.664765080e+02 5.6e-10 1.35
60 9.4e-07 9.4e-03 6.0e-05 1.00e+00 1.664741706e+02 1.664764273e+02 5.1e-10 1.36
61 8.4e-07 9.3e-03 5.4e-05 1.00e+00 1.664743236e+02 1.664763546e+02 4.6e-10 1.39
62 7.6e-07 9.1e-03 4.9e-05 1.00e+00 1.664744613e+02 1.664762893e+02 4.1e-10 1.40
63 6.8e-07 8.9e-03 4.4e-05 1.00e+00 1.664745852e+02 1.664762304e+02 3.7e-10 1.41
64 6.2e-07 8.8e-03 3.9e-05 1.00e+00 1.664746967e+02 1.664761773e+02 3.3e-10 1.43
65 5.5e-07 8.7e-03 3.5e-05 1.00e+00 1.664747969e+02 1.664761295e+02 3.0e-10 1.44
66 5.0e-07 8.6e-03 3.2e-05 9.99e-01 1.664748871e+02 1.664760865e+02 2.7e-10 1.48
67 4.5e-07 8.5e-03 2.9e-05 1.00e+00 1.664749683e+02 1.664760477e+02 2.4e-10 1.49
68 4.0e-07 8.4e-03 2.6e-05 1.00e+00 1.664750413e+02 1.664760128e+02 2.2e-10 1.51
69 3.6e-07 8.3e-03 2.3e-05 1.00e+00 1.664751070e+02 1.664759812e+02 2.0e-10 1.52
70 3.3e-07 8.2e-03 2.1e-05 1.00e+00 1.664751660e+02 1.664759529e+02 1.8e-10 1.53
71 2.9e-07 8.2e-03 1.9e-05 1.00e+00 1.664752192e+02 1.664759273e+02 1.6e-10 1.55
72 2.7e-07 8.1e-03 1.7e-05 9.99e-01 1.664752670e+02 1.664759043e+02 1.4e-10 1.61
73 2.4e-07 8.1e-03 1.5e-05 1.00e+00 1.664753100e+02 1.664758836e+02 1.3e-10 1.63
74 2.1e-07 8.0e-03 1.4e-05 1.00e+00 1.664753487e+02 1.664758649e+02 1.2e-10 1.64
75 1.9e-07 8.0e-03 1.2e-05 9.98e-01 1.664753835e+02 1.664758482e+02 1.0e-10 1.68
76 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.664754148e+02 1.664758330e+02 9.4e-11 1.73
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754432e+02 1.664758192e+02 8.5e-11 1.78
78 1.4e-07 7.9e-03 9.0e-06 1.01e+00 1.664754689e+02 1.664758068e+02 7.6e-11 1.86
79 1.3e-07 7.9e-03 8.1e-06 1.00e+00 1.664754916e+02 1.664757958e+02 6.9e-11 1.93
80 1.1e-07 7.8e-03 7.3e-06 1.00e+00 1.664755122e+02 1.664757858e+02 6.2e-11 1.96
81 1.0e-07 7.8e-03 6.6e-06 9.99e-01 1.664755306e+02 1.664757769e+02 5.6e-11 2.02
82 9.2e-08 7.8e-03 5.9e-06 1.00e+00 1.664755472e+02 1.664757689e+02 5.0e-11 2.03
83 8.3e-08 7.0e-03 5.3e-06 1.01e+00 1.664755626e+02 1.664757614e+02 4.5e-11 2.08
84 7.5e-08 6.3e-03 4.8e-06 1.00e+00 1.664755761e+02 1.664757548e+02 4.1e-11 2.15
85 6.7e-08 5.7e-03 4.3e-06 1.01e+00 1.664755887e+02 1.664757486e+02 3.7e-11 2.16
86 6.1e-08 5.1e-03 3.9e-06 1.00e+00 1.664755997e+02 1.664757433e+02 3.3e-11 2.17
87 5.5e-08 4.6e-03 3.5e-06 9.93e-01 1.664756093e+02 1.664757387e+02 3.0e-11 2.20
88 4.9e-08 4.1e-03 3.1e-06 9.92e-01 1.664756181e+02 1.664757345e+02 2.7e-11 2.26
89 4.4e-08 3.7e-03 2.8e-06 1.01e+00 1.664756261e+02 1.664757306e+02 2.4e-11 2.27
90 4.0e-08 3.3e-03 2.5e-06 1.01e+00 1.664756334e+02 1.664757270e+02 2.2e-11 2.33
91 3.6e-08 3.0e-03 2.3e-06 9.90e-01 1.664756397e+02 1.664757240e+02 2.0e-11 2.34
92 3.2e-08 2.7e-03 2.1e-06 1.00e+00 1.664756454e+02 1.664757213e+02 1.8e-11 2.40
93 2.9e-08 2.4e-03 1.9e-06 1.01e+00 1.664756507e+02 1.664757187e+02 1.6e-11 2.42
94 2.6e-08 2.2e-03 1.7e-06 9.97e-01 1.664756553e+02 1.664757164e+02 1.4e-11 2.43
95 2.3e-08 2.0e-03 1.5e-06 9.93e-01 1.664756594e+02 1.664757145e+02 1.3e-11 2.46
96 2.1e-08 1.8e-03 1.4e-06 9.96e-01 1.664756631e+02 1.664757127e+02 1.2e-11 2.54
97 1.9e-08 1.6e-03 1.2e-06 9.97e-01 1.664756665e+02 1.664757111e+02 1.1e-11 2.59
98 1.7e-08 1.4e-03 1.1e-06 1.02e+00 1.664756697e+02 1.664757095e+02 9.6e-12 2.64
99 1.5e-08 1.3e-03 9.8e-07 9.81e-01 1.664756724e+02 1.664757082e+02 8.6e-12 2.65
100 1.4e-08 1.2e-03 8.9e-07 1.01e+00 1.664756748e+02 1.664757070e+02 7.8e-12 2.67
101 1.2e-08 1.0e-03 8.0e-07 9.99e-01 1.664756770e+02 1.664757060e+02 7.0e-12 2.69
102 1.1e-08 9.4e-04 7.2e-07 9.91e-01 1.664756790e+02 1.664757051e+02 6.3e-12 2.70
103 1.0e-08 8.5e-04 6.5e-07 9.66e-01 1.664756807e+02 1.664757043e+02 5.7e-12 2.73
104 9.1e-09 7.6e-04 5.8e-07 9.84e-01 1.664756823e+02 1.664757035e+02 5.1e-12 2.79
105 3.0e-09 7.8e-05 6.0e-08 9.83e-01 1.664756951e+02 1.664756973e+02 5.6e-13 2.80
Interior-point optimizer terminated. Time: 2.80.
Optimizer terminated. Time: 2.81
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569512e+02 Viol. con: 7e-08 var: 0e+00
Dual. obj: 1.6647569732e+02 Viol. con: 0e+00 var: 5e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.83 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280507088e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258771626e+05 3.574359802e+00 4.8e-01 0.05
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197600736e+05 1.017435409e+01 1.9e-01 0.06
3 2.9e+02 3.6e+02 1.6e+04 -8.40e-01 -1.150414980e+05 6.302897274e+01 1.2e-01 0.08
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124384911e+05 2.261517118e+03 1.2e-01 0.09
5 7.5e+01 9.6e+01 4.2e+03 -7.52e-01 -7.457688542e+04 9.579755562e+03 3.3e-02 0.10
6 3.0e+01 3.8e+01 1.7e+03 -1.97e-01 -4.046195246e+04 1.027491908e+04 1.3e-02 0.11
7 1.8e+01 2.3e+01 1.0e+03 3.92e-01 -2.694187535e+04 6.671816059e+03 7.9e-03 0.13
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.557346416e+04 3.882130866e+03 4.3e-03 0.14
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.391618050e+03 1.890794262e+03 1.7e-03 0.15
10 2.1e+00 2.6e+00 1.2e+02 9.41e-01 -3.269353606e+03 1.203687708e+03 9.2e-04 0.16
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.531765635e+03 7.332245104e+02 4.7e-04 0.16
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.183108706e+03 6.026630871e+02 3.6e-04 0.17
13 4.8e-01 6.1e-01 2.7e+01 9.74e-01 -6.438509456e+02 4.230525424e+02 2.2e-04 0.18
14 2.7e-01 3.5e-01 1.5e+01 1.00e+00 -2.811333775e+02 3.129245996e+02 1.2e-04 0.19
15 9.5e-02 1.5e-01 5.4e+00 1.00e+00 -7.757484243e+00 2.065001113e+02 4.4e-05 0.20
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.583936056e+01 2.085236024e+02 4.0e-05 0.21
17 5.8e-02 9.1e-02 3.3e+00 1.02e+00 6.551693603e+01 1.939182712e+02 2.7e-05 0.22
18 2.7e-02 7.0e-02 1.6e+00 1.02e+00 1.190019856e+02 1.797978531e+02 1.3e-05 0.27
19 7.7e-03 1.9e-01 4.5e-01 1.02e+00 1.538384425e+02 1.711146371e+02 3.6e-06 0.28
20 3.1e-03 2.3e-01 1.8e-01 1.01e+00 1.611245307e+02 1.680953483e+02 1.5e-06 0.28
21 1.8e-03 1.4e-01 1.1e-01 1.01e+00 1.633662817e+02 1.674681338e+02 8.8e-07 0.30
22 5.4e-04 1.3e-01 3.3e-02 1.01e+00 1.655413645e+02 1.667977286e+02 2.7e-07 0.31
23 3.9e-04 1.1e-01 2.4e-02 9.97e-01 1.657986489e+02 1.666979326e+02 2.0e-07 0.31
24 2.1e-04 7.7e-02 1.3e-02 9.85e-01 1.660841484e+02 1.665893214e+02 1.1e-07 0.34
25 1.8e-04 6.6e-02 1.1e-02 1.00e+00 1.661383475e+02 1.665728337e+02 9.5e-08 0.35
26 1.7e-04 6.0e-02 1.0e-02 1.01e+00 1.661706163e+02 1.665613930e+02 8.6e-08 0.36
27 1.5e-04 5.5e-02 9.3e-03 1.01e+00 1.661982748e+02 1.665498528e+02 7.7e-08 0.37
28 1.3e-04 5.0e-02 8.3e-03 1.01e+00 1.662233130e+02 1.665396580e+02 6.9e-08 0.38
29 1.2e-04 4.6e-02 7.5e-03 1.01e+00 1.662457387e+02 1.665303888e+02 6.2e-08 0.45
30 1.1e-04 4.2e-02 6.8e-03 1.01e+00 1.662658661e+02 1.665220019e+02 5.6e-08 0.46
31 9.8e-05 3.9e-02 6.1e-03 1.01e+00 1.662839264e+02 1.665144087e+02 5.1e-08 0.51
32 8.8e-05 3.5e-02 5.5e-03 1.01e+00 1.663001337e+02 1.665075354e+02 4.6e-08 0.53
33 7.9e-05 3.3e-02 4.9e-03 1.00e+00 1.663146785e+02 1.665013138e+02 4.1e-08 0.55
34 7.1e-05 3.0e-02 4.4e-03 1.00e+00 1.663277320e+02 1.664956827e+02 3.7e-08 0.56
35 6.4e-05 2.8e-02 4.0e-03 1.00e+00 1.663394479e+02 1.664905865e+02 3.3e-08 0.56
36 5.8e-05 2.6e-02 3.6e-03 1.00e+00 1.663499640e+02 1.664859751e+02 3.0e-08 0.58
37 5.2e-05 2.4e-02 3.2e-03 1.00e+00 1.663594041e+02 1.664818033e+02 2.7e-08 0.59
38 4.7e-05 2.2e-02 2.9e-03 1.00e+00 1.663678793e+02 1.664780300e+02 2.4e-08 0.64
39 4.2e-05 2.1e-02 2.6e-03 1.00e+00 1.663754890e+02 1.664746177e+02 2.2e-08 0.65
40 3.8e-05 2.0e-02 2.4e-03 1.00e+00 1.663823223e+02 1.664715327e+02 2.0e-08 0.67
41 3.4e-05 1.8e-02 2.1e-03 1.00e+00 1.663884590e+02 1.664687441e+02 1.8e-08 0.68
42 3.1e-05 1.7e-02 1.9e-03 1.00e+00 1.663939706e+02 1.664662239e+02 1.6e-08 0.68
43 2.8e-05 1.6e-02 1.7e-03 1.00e+00 1.663989213e+02 1.664639467e+02 1.4e-08 0.69
44 2.5e-05 1.6e-02 1.5e-03 1.00e+00 1.664033684e+02 1.664618893e+02 1.3e-08 0.70
45 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664073634e+02 1.664600307e+02 1.2e-08 0.72
46 2.0e-05 1.4e-02 1.3e-03 1.00e+00 1.664109526e+02 1.664583520e+02 1.0e-08 0.74
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664141774e+02 1.664568360e+02 9.4e-09 0.75
48 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664170750e+02 1.664554671e+02 8.5e-09 0.76
49 1.5e-05 1.2e-02 9.1e-04 1.00e+00 1.664196787e+02 1.664542312e+02 7.6e-09 0.76
50 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664220186e+02 1.664531154e+02 6.9e-09 0.77
51 1.2e-05 1.1e-02 7.4e-04 1.00e+00 1.664241214e+02 1.664521084e+02 6.2e-09 0.78
52 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.664260114e+02 1.664511995e+02 5.6e-09 0.79
53 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664277102e+02 1.664503794e+02 5.0e-09 0.80
54 8.7e-06 1.1e-02 5.4e-04 1.00e+00 1.664292372e+02 1.664496395e+02 4.5e-09 0.85
55 7.8e-06 1.0e-02 4.9e-04 1.00e+00 1.664306099e+02 1.664489720e+02 4.0e-09 0.86
56 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318440e+02 1.664483699e+02 3.6e-09 0.87
57 6.3e-06 9.8e-03 3.9e-04 1.00e+00 1.664329536e+02 1.664478269e+02 3.3e-09 0.90
58 5.7e-06 9.6e-03 3.5e-04 1.00e+00 1.664339512e+02 1.664473373e+02 3.0e-09 0.91
59 5.1e-06 9.4e-03 3.2e-04 1.00e+00 1.664348481e+02 1.664468957e+02 2.7e-09 0.92
60 4.6e-06 9.3e-03 2.9e-04 1.00e+00 1.664356547e+02 1.664464976e+02 2.4e-09 0.94
61 4.2e-06 9.1e-03 2.6e-04 1.00e+00 1.664363799e+02 1.664461386e+02 2.2e-09 0.95
62 3.7e-06 9.0e-03 2.3e-04 1.00e+00 1.664370321e+02 1.664458150e+02 1.9e-09 1.01
63 3.4e-06 8.9e-03 2.1e-04 1.00e+00 1.664376185e+02 1.664455231e+02 1.7e-09 1.02
64 3.0e-06 8.8e-03 1.9e-04 1.00e+00 1.664381458e+02 1.664452600e+02 1.6e-09 1.03
65 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386200e+02 1.664450229e+02 1.4e-09 1.04
66 2.5e-06 8.6e-03 1.5e-04 1.00e+00 1.664390466e+02 1.664448092e+02 1.3e-09 1.09
67 2.2e-06 8.5e-03 1.4e-04 1.00e+00 1.664394302e+02 1.664446166e+02 1.1e-09 1.10
68 2.0e-06 8.4e-03 1.2e-04 1.00e+00 1.664397754e+02 1.664444432e+02 1.0e-09 1.12
69 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400859e+02 1.664442869e+02 9.3e-10 1.14
70 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403652e+02 1.664441462e+02 8.3e-10 1.15
71 1.4e-06 8.2e-03 9.0e-05 1.00e+00 1.664406165e+02 1.664440194e+02 7.5e-10 1.21
72 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408425e+02 1.664439052e+02 6.8e-10 1.21
73 1.2e-06 8.1e-03 7.3e-05 1.00e+00 1.664410459e+02 1.664438023e+02 6.1e-10 1.22
74 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412289e+02 1.664437097e+02 5.5e-10 1.26
75 9.5e-07 8.0e-03 5.9e-05 1.00e+00 1.664413935e+02 1.664436263e+02 4.9e-10 1.31
76 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415416e+02 1.664435511e+02 4.4e-10 1.32
77 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416748e+02 1.664434834e+02 4.0e-10 1.32
78 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417947e+02 1.664434225e+02 3.6e-10 1.33
79 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419025e+02 1.664433675e+02 3.2e-10 1.36
80 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664419995e+02 1.664433180e+02 2.9e-10 1.42
81 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420868e+02 1.664432735e+02 2.6e-10 1.48
82 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421653e+02 1.664432332e+02 2.4e-10 1.49
83 4.1e-07 7.8e-03 2.5e-05 9.99e-01 1.664422359e+02 1.664431971e+02 2.1e-10 1.50
84 3.7e-07 7.8e-03 2.3e-05 9.99e-01 1.664422994e+02 1.664431645e+02 1.9e-10 1.53
85 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423566e+02 1.664431352e+02 1.7e-10 1.55
86 3.0e-07 7.7e-03 1.9e-05 1.00e+00 1.664424080e+02 1.664431088e+02 1.5e-10 1.56
87 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424543e+02 1.664430850e+02 1.4e-10 1.57
88 2.4e-07 7.7e-03 1.5e-05 9.99e-01 1.664424959e+02 1.664430636e+02 1.3e-10 1.58
89 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.664425334e+02 1.664430443e+02 1.1e-10 1.65
90 2.0e-07 7.6e-03 1.2e-05 9.99e-01 1.664425672e+02 1.664430270e+02 1.0e-10 1.70
91 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425975e+02 1.664430113e+02 9.1e-11 1.71
92 1.6e-07 7.6e-03 9.9e-06 9.99e-01 1.664426248e+02 1.664429973e+02 8.2e-11 1.72
93 1.4e-07 7.6e-03 8.9e-06 1.00e+00 1.664426495e+02 1.664429846e+02 7.4e-11 1.74
94 1.3e-07 7.6e-03 8.0e-06 1.00e+00 1.664426716e+02 1.664429732e+02 6.7e-11 1.75
95 1.2e-07 7.6e-03 7.2e-06 1.00e+00 1.664426915e+02 1.664429629e+02 6.0e-11 1.77
96 1.0e-07 7.6e-03 6.5e-06 1.00e+00 1.664427095e+02 1.664429537e+02 5.4e-11 1.78
97 9.4e-08 7.6e-03 5.8e-06 1.00e+00 1.664427256e+02 1.664429454e+02 4.9e-11 1.79
98 8.4e-08 7.5e-03 5.2e-06 9.94e-01 1.664427401e+02 1.664429380e+02 4.4e-11 1.80
99 7.6e-08 7.5e-03 4.7e-06 9.96e-01 1.664427532e+02 1.664429313e+02 3.9e-11 1.81
100 6.8e-08 7.5e-03 4.2e-06 9.97e-01 1.664427649e+02 1.664429253e+02 3.5e-11 1.87
101 6.1e-08 7.5e-03 3.8e-06 9.98e-01 1.664427755e+02 1.664429198e+02 3.2e-11 1.88
102 5.5e-08 7.5e-03 3.4e-06 9.96e-01 1.664427850e+02 1.664429150e+02 2.9e-11 1.89
103 5.0e-08 6.7e-03 3.1e-06 1.01e+00 1.664427938e+02 1.664429104e+02 2.6e-11 1.90
104 4.5e-08 6.1e-03 2.8e-06 9.98e-01 1.664428015e+02 1.664429065e+02 2.3e-11 1.91
105 4.0e-08 5.4e-03 2.5e-06 1.00e+00 1.664428085e+02 1.664429029e+02 2.1e-11 1.97
106 3.6e-08 4.9e-03 2.3e-06 1.01e+00 1.664428148e+02 1.664428996e+02 1.9e-11 1.98
107 3.3e-08 4.4e-03 2.0e-06 9.94e-01 1.664428204e+02 1.664428967e+02 1.7e-11 1.99
108 2.9e-08 4.0e-03 1.8e-06 9.73e-01 1.664428254e+02 1.664428942e+02 1.5e-11 2.00
109 2.6e-08 3.6e-03 1.6e-06 1.02e+00 1.664428304e+02 1.664428916e+02 1.4e-11 2.01
110 2.4e-08 3.2e-03 1.5e-06 1.01e+00 1.664428346e+02 1.664428894e+02 1.3e-11 2.02
111 2.1e-08 2.9e-03 1.3e-06 9.75e-01 1.664428382e+02 1.664428876e+02 1.1e-11 2.04
112 1.9e-08 2.6e-03 1.2e-06 9.91e-01 1.664428415e+02 1.664428859e+02 1.0e-11 2.05
113 1.7e-08 2.3e-03 1.1e-06 9.78e-01 1.664428444e+02 1.664428845e+02 9.2e-12 2.06
114 1.6e-08 2.1e-03 9.7e-07 9.73e-01 1.664428470e+02 1.664428831e+02 8.3e-12 2.07
115 1.4e-08 1.9e-03 8.7e-07 1.01e+00 1.664428495e+02 1.664428818e+02 7.5e-12 2.08
116 1.3e-08 1.7e-03 7.9e-07 1.10e+00 1.664428526e+02 1.664428800e+02 7.0e-12 2.09
117 1.2e-08 1.5e-03 7.1e-07 9.79e-01 1.664428544e+02 1.664428791e+02 6.3e-12 2.10
118 1.0e-08 1.4e-03 6.4e-07 1.31e+00 1.664428560e+02 1.664428787e+02 5.7e-12 2.11
119 1.1e-08 1.2e-03 5.7e-07 1.08e+00 1.664428580e+02 1.664428774e+02 5.3e-12 2.12
120 9.9e-09 1.1e-03 5.2e-07 9.79e-01 1.664428593e+02 1.664428768e+02 4.8e-12 2.13
121 8.9e-09 1.0e-03 4.6e-07 7.95e-01 1.664428604e+02 1.664428762e+02 4.3e-12 2.14
122 8.7e-09 9.1e-04 4.2e-07 9.12e-01 1.664428614e+02 1.664428757e+02 3.9e-12 2.15
123 7.3e-09 8.2e-04 3.8e-07 9.56e-01 1.664428624e+02 1.664428753e+02 3.5e-12 2.15
124 7.4e-09 7.4e-04 3.4e-07 1.11e+00 1.664428636e+02 1.664428745e+02 3.3e-12 2.17
125 6.7e-09 6.6e-04 3.0e-07 7.93e-01 1.664428644e+02 1.664428741e+02 3.0e-12 2.17
126 6.1e-09 6.0e-04 2.7e-07 1.25e+00 1.664428650e+02 1.664428738e+02 2.7e-12 2.19
127 5.3e-09 5.4e-04 2.5e-07 8.97e-01 1.664428656e+02 1.664428736e+02 2.4e-12 2.20
128 7.9e-09 4.8e-04 2.2e-07 1.37e+00 1.664428661e+02 1.664428734e+02 2.2e-12 2.21
129 1.2e-08 4.6e-04 2.1e-07 6.83e+00 1.664428665e+02 1.664428727e+02 2.0e-12 2.22
130 1.2e-08 4.2e-04 1.9e-07 1.34e+00 1.664428669e+02 1.664428724e+02 1.8e-12 2.23
131 8.4e-09 3.7e-04 1.7e-07 5.73e-01 1.664428673e+02 1.664428724e+02 1.7e-12 2.24
132 8.3e-09 3.4e-04 1.5e-07 2.55e+00 1.664428676e+02 1.664428722e+02 1.5e-12 2.24
133 1.2e-08 3.1e-04 1.4e-07 4.92e+00 1.664428681e+02 1.664428717e+02 1.3e-12 2.25
134 1.0e-08 2.8e-04 1.3e-07 2.02e-01 1.664428683e+02 1.664428717e+02 1.2e-12 2.26
135 8.5e-09 2.5e-04 1.2e-07 4.10e-01 1.664428685e+02 1.664428717e+02 1.1e-12 2.27
136 8.8e-09 2.3e-04 1.0e-07 1.20e+00 1.664428689e+02 1.664428715e+02 1.0e-12 2.28
137 1.1e-08 2.0e-04 9.4e-08 8.57e-01 1.664428691e+02 1.664428714e+02 9.4e-13 2.29
Interior-point optimizer terminated. Time: 2.29.
Optimizer terminated. Time: 2.30
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286914e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6644287139e+02 Viol. con: 0e+00 var: 9e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.32 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280489592e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258746552e+05 3.573539922e+00 4.8e-01 0.08
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197248415e+05 1.020048588e+01 1.9e-01 0.09
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150061322e+05 6.350478076e+01 1.2e-01 0.10
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124090165e+05 2.256519689e+03 1.2e-01 0.16
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.445970171e+04 9.583483934e+03 3.3e-02 0.17
6 3.0e+01 3.8e+01 1.7e+03 -1.95e-01 -4.029039832e+04 1.021237218e+04 1.3e-02 0.25
7 1.8e+01 2.3e+01 9.9e+02 3.95e-01 -2.693744226e+04 6.641940836e+03 7.9e-03 0.31
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.531785148e+04 3.830167544e+03 4.2e-03 0.33
9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.905223632e+03 1.796578514e+03 1.6e-03 0.34
10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.113339973e+03 1.193556345e+03 8.9e-04 0.34
11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.224280270e+03 6.160640059e+02 3.8e-04 0.36
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.207775621e+03 5.913575941e+02 3.7e-04 0.37
13 5.1e-01 6.6e-01 2.8e+01 9.72e-01 -7.035614329e+02 4.268406543e+02 2.3e-04 0.43
14 3.1e-01 4.1e-01 1.8e+01 1.00e+00 -3.505896194e+02 3.411905398e+02 1.4e-04 0.44
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.684611527e+01 2.143807938e+02 5.0e-05 0.50
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.197976788e+01 2.045203386e+02 3.8e-05 0.50
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.510635428e+01 1.869529236e+02 1.9e-05 0.51
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425301678e+02 1.741994507e+02 6.7e-06 0.53
19 6.3e-03 7.2e-02 3.6e-01 1.01e+00 1.556720106e+02 1.695994149e+02 2.9e-06 0.54
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638768012e+02 1.673911109e+02 7.5e-07 0.57
21 8.1e-04 1.1e-01 5.0e-02 9.78e-01 1.650484889e+02 1.669448661e+02 4.1e-07 0.57
22 2.5e-04 1.1e-01 1.6e-02 9.89e-01 1.659979422e+02 1.666011121e+02 1.3e-07 0.63
23 1.2e-04 8.9e-02 7.5e-03 1.01e+00 1.662206083e+02 1.665065037e+02 6.3e-08 0.64
24 4.6e-05 8.6e-02 3.0e-03 1.01e+00 1.663410810e+02 1.664565265e+02 2.6e-08 0.71
25 2.1e-05 7.8e-02 1.4e-03 1.01e+00 1.663845828e+02 1.664381875e+02 1.2e-08 0.72
26 1.9e-05 7.1e-02 1.3e-03 1.00e+00 1.663890919e+02 1.664373642e+02 1.1e-08 0.73
27 1.7e-05 6.5e-02 1.1e-03 1.01e+00 1.663923655e+02 1.664357978e+02 9.7e-09 0.75
28 1.6e-05 5.9e-02 1.0e-03 1.00e+00 1.663953710e+02 1.664344534e+02 8.8e-09 0.82
29 1.4e-05 5.4e-02 9.3e-04 1.00e+00 1.663980608e+02 1.664332289e+02 7.9e-09 0.86
30 1.3e-05 5.0e-02 8.4e-04 1.00e+00 1.664004797e+02 1.664321260e+02 7.1e-09 0.94
31 1.1e-05 4.5e-02 7.5e-04 1.00e+00 1.664026530e+02 1.664311307e+02 6.4e-09 1.01
32 1.0e-05 4.2e-02 6.8e-04 1.00e+00 1.664046064e+02 1.664302330e+02 5.7e-09 1.02
33 9.2e-06 3.8e-02 6.1e-04 1.00e+00 1.664063621e+02 1.664294234e+02 5.2e-09 1.03
34 8.3e-06 3.5e-02 5.5e-04 1.00e+00 1.664079402e+02 1.664286932e+02 4.7e-09 1.03
35 7.5e-06 3.3e-02 5.0e-04 1.00e+00 1.664093588e+02 1.664280348e+02 4.2e-09 1.05
36 6.7e-06 3.0e-02 4.5e-04 1.00e+00 1.664106342e+02 1.664274412e+02 3.8e-09 1.06
37 6.1e-06 2.8e-02 4.0e-04 1.00e+00 1.664117809e+02 1.664269061e+02 3.4e-09 1.08
38 5.5e-06 2.6e-02 3.6e-04 1.00e+00 1.664128119e+02 1.664264237e+02 3.1e-09 1.09
39 4.9e-06 2.4e-02 3.2e-04 1.00e+00 1.664137390e+02 1.664259888e+02 2.8e-09 1.09
40 4.4e-06 2.2e-02 2.9e-04 1.00e+00 1.664145726e+02 1.664255969e+02 2.5e-09 1.17
41 4.0e-06 2.1e-02 2.6e-04 1.00e+00 1.664153223e+02 1.664252437e+02 2.2e-09 1.23
42 3.6e-06 2.0e-02 2.4e-04 1.00e+00 1.664159964e+02 1.664249253e+02 2.0e-09 1.24
43 3.2e-06 1.8e-02 2.1e-04 1.00e+00 1.664166026e+02 1.664246384e+02 1.8e-09 1.25
44 2.9e-06 1.7e-02 1.9e-04 1.00e+00 1.664171478e+02 1.664243798e+02 1.6e-09 1.27
45 2.6e-06 1.6e-02 1.7e-04 1.00e+00 1.664176381e+02 1.664241467e+02 1.5e-09 1.27
46 2.3e-06 1.6e-02 1.6e-04 1.00e+00 1.664180792e+02 1.664239368e+02 1.3e-09 1.28
47 2.1e-06 1.5e-02 1.4e-04 1.00e+00 1.664184759e+02 1.664237477e+02 1.2e-09 1.29
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664188328e+02 1.664235774e+02 1.1e-09 1.31
49 1.7e-06 1.3e-02 1.1e-04 1.00e+00 1.664191539e+02 1.664234239e+02 9.6e-10 1.31
50 1.5e-06 1.3e-02 1.0e-04 1.00e+00 1.664194428e+02 1.664232857e+02 8.6e-10 1.33
51 1.4e-06 1.2e-02 9.2e-05 1.00e+00 1.664197027e+02 1.664231613e+02 7.8e-10 1.33
52 1.2e-06 1.2e-02 8.3e-05 1.00e+00 1.664199365e+02 1.664230493e+02 7.0e-10 1.34
53 1.1e-06 1.1e-02 7.4e-05 1.00e+00 1.664201469e+02 1.664229484e+02 6.3e-10 1.36
54 1.0e-06 1.1e-02 6.7e-05 1.00e+00 1.664203362e+02 1.664228575e+02 5.7e-10 1.37
55 9.1e-07 1.1e-02 6.0e-05 1.00e+00 1.664205065e+02 1.664227757e+02 5.1e-10 1.38
56 8.2e-07 1.0e-02 5.4e-05 1.00e+00 1.664206597e+02 1.664227019e+02 4.6e-10 1.39
57 7.4e-07 1.0e-02 4.9e-05 1.00e+00 1.664207975e+02 1.664226355e+02 4.1e-10 1.40
58 6.6e-07 9.9e-03 4.4e-05 1.00e+00 1.664209215e+02 1.664225757e+02 3.7e-10 1.41
59 6.0e-07 9.7e-03 4.0e-05 1.00e+00 1.664210331e+02 1.664225218e+02 3.3e-10 1.41
60 5.4e-07 9.5e-03 3.6e-05 1.00e+00 1.664211334e+02 1.664224733e+02 3.0e-10 1.42
61 4.8e-07 9.3e-03 3.2e-05 1.00e+00 1.664212237e+02 1.664224296e+02 2.7e-10 1.50
62 4.3e-07 9.1e-03 2.9e-05 1.00e+00 1.664213049e+02 1.664223902e+02 2.4e-10 1.51
63 3.9e-07 9.0e-03 2.6e-05 1.00e+00 1.664213780e+02 1.664223547e+02 2.2e-10 1.52
64 3.5e-07 8.9e-03 2.3e-05 1.00e+00 1.664214437e+02 1.664223228e+02 2.0e-10 1.53
65 3.2e-07 8.7e-03 2.1e-05 1.00e+00 1.664215028e+02 1.664222940e+02 1.8e-10 1.54
66 2.9e-07 8.6e-03 1.9e-05 9.99e-01 1.664215559e+02 1.664222681e+02 1.6e-10 1.60
67 2.6e-07 8.5e-03 1.7e-05 1.00e+00 1.664216038e+02 1.664222447e+02 1.4e-10 1.61
68 2.3e-07 8.4e-03 1.5e-05 1.00e+00 1.664216468e+02 1.664222237e+02 1.3e-10 1.62
69 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664216856e+02 1.664222047e+02 1.2e-10 1.62
70 1.9e-07 8.3e-03 1.2e-05 1.00e+00 1.664217205e+02 1.664221877e+02 1.1e-10 1.64
71 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217519e+02 1.664221723e+02 9.5e-11 1.65
72 1.5e-07 8.1e-03 1.0e-05 9.98e-01 1.664217801e+02 1.664221585e+02 8.5e-11 1.66
73 1.4e-07 8.1e-03 9.0e-06 9.98e-01 1.664218055e+02 1.664221461e+02 7.7e-11 1.67
74 1.2e-07 8.0e-03 8.1e-06 1.00e+00 1.664218283e+02 1.664221349e+02 6.9e-11 1.68
75 1.1e-07 8.0e-03 7.3e-06 9.99e-01 1.664218489e+02 1.664221248e+02 6.2e-11 1.69
76 9.9e-08 7.9e-03 6.6e-06 9.97e-01 1.664218674e+02 1.664221158e+02 5.6e-11 1.70
77 9.0e-08 7.9e-03 5.9e-06 1.00e+00 1.664218841e+02 1.664221076e+02 5.0e-11 1.71
78 8.1e-08 7.8e-03 5.3e-06 1.00e+00 1.664218991e+02 1.664221002e+02 4.5e-11 1.72
79 7.3e-08 7.8e-03 4.8e-06 9.90e-01 1.664219126e+02 1.664220937e+02 4.1e-11 1.73
80 6.5e-08 7.8e-03 4.3e-06 9.96e-01 1.664219247e+02 1.664220877e+02 3.7e-11 1.75
81 5.9e-08 7.7e-03 3.9e-06 1.00e+00 1.664219357e+02 1.664220823e+02 3.3e-11 1.76
82 5.3e-08 7.0e-03 3.5e-06 1.01e+00 1.664219457e+02 1.664220774e+02 3.0e-11 1.77
83 4.8e-08 6.3e-03 3.2e-06 9.90e-01 1.664219545e+02 1.664220731e+02 2.7e-11 1.85
84 4.3e-08 5.6e-03 2.8e-06 1.02e+00 1.664219630e+02 1.664220689e+02 2.4e-11 1.90
85 3.9e-08 5.1e-03 2.6e-06 1.01e+00 1.664219703e+02 1.664220653e+02 2.2e-11 1.93
86 3.5e-08 4.6e-03 2.3e-06 9.94e-01 1.664219767e+02 1.664220622e+02 2.0e-11 1.94
87 3.1e-08 4.1e-03 2.1e-06 9.85e-01 1.664219824e+02 1.664220594e+02 1.8e-11 1.95
88 2.8e-08 3.7e-03 1.9e-06 1.01e+00 1.664219878e+02 1.664220567e+02 1.6e-11 1.96
89 2.5e-08 3.3e-03 1.7e-06 9.87e-01 1.664219924e+02 1.664220545e+02 1.4e-11 1.97
90 2.3e-08 3.0e-03 1.5e-06 9.89e-01 1.664219965e+02 1.664220525e+02 1.3e-11 2.04
91 2.0e-08 2.7e-03 1.4e-06 9.77e-01 1.664220003e+02 1.664220507e+02 1.2e-11 2.05
92 1.8e-08 2.4e-03 1.2e-06 9.59e-01 1.664220036e+02 1.664220491e+02 1.1e-11 2.06
93 1.7e-08 2.2e-03 1.1e-06 9.99e-01 1.664220067e+02 1.664220476e+02 9.5e-12 2.07
94 1.5e-08 2.0e-03 9.9e-07 1.00e+00 1.664220094e+02 1.664220462e+02 8.5e-12 2.08
95 1.3e-08 1.8e-03 8.9e-07 1.03e+00 1.664220122e+02 1.664220448e+02 7.8e-12 2.09
96 1.2e-08 1.6e-03 8.0e-07 1.05e+00 1.664220149e+02 1.664220434e+02 7.2e-12 2.10
97 1.1e-08 1.4e-03 7.2e-07 9.56e-01 1.664220168e+02 1.664220425e+02 6.5e-12 2.11
98 9.8e-09 1.3e-03 6.5e-07 1.06e+00 1.664220190e+02 1.664220414e+02 6.0e-12 2.17
99 8.9e-09 1.2e-03 5.8e-07 1.01e+00 1.664220205e+02 1.664220406e+02 5.4e-12 2.18
100 8.0e-09 1.0e-03 5.3e-07 1.06e+00 1.664220223e+02 1.664220397e+02 5.0e-12 2.20
101 7.2e-09 9.4e-04 4.7e-07 9.64e-01 1.664220234e+02 1.664220392e+02 4.5e-12 2.21
102 6.5e-09 8.5e-04 4.3e-07 9.72e-01 1.664220245e+02 1.664220387e+02 4.1e-12 2.22
103 5.8e-09 7.6e-04 3.8e-07 9.44e-01 1.664220254e+02 1.664220382e+02 3.7e-12 2.23
104 5.3e-09 6.9e-04 3.5e-07 9.44e-01 1.664220263e+02 1.664220378e+02 3.3e-12 2.24
105 4.8e-09 6.2e-04 3.1e-07 1.09e+00 1.664220274e+02 1.664220372e+02 3.1e-12 2.25
106 4.3e-09 5.6e-04 2.8e-07 9.34e-01 1.664220280e+02 1.664220369e+02 2.8e-12 2.26
107 3.2e-09 3.4e-05 1.7e-08 8.62e-01 1.664220339e+02 1.664220344e+02 3.3e-13 2.27
Interior-point optimizer terminated. Time: 2.27.
Optimizer terminated. Time: 2.28
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203385e+02 Viol. con: 6e-08 var: 0e+00
Dual. obj: 1.6642203444e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.3 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280480920e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258735660e+05 3.573328916e+00 4.8e-01 0.06
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197005189e+05 1.021704803e+01 1.9e-01 0.07
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.149813375e+05 6.382279456e+01 1.2e-01 0.08
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.123855399e+05 2.255173580e+03 1.2e-01 0.09
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.423593826e+04 9.613755294e+03 3.3e-02 0.10
6 3.0e+01 3.8e+01 1.6e+03 -1.92e-01 -4.018134525e+04 1.017431021e+04 1.3e-02 0.16
7 1.8e+01 2.3e+01 9.9e+02 3.96e-01 -2.694063829e+04 6.639033855e+03 7.9e-03 0.18
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.520627942e+04 3.808639189e+03 4.1e-03 0.19
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.318879299e+03 1.679782553e+03 1.4e-03 0.20
10 1.6e+00 2.0e+00 8.9e+01 9.54e-01 -2.417680891e+03 1.055154102e+03 7.1e-04 0.22
11 9.5e-01 1.2e+00 5.3e+01 9.86e-01 -1.370542208e+03 7.033836147e+02 4.2e-04 0.23
12 8.6e-01 1.1e+00 4.8e+01 9.64e-01 -1.258992858e+03 6.420996909e+02 3.8e-04 0.24
13 4.8e-01 6.1e-01 2.7e+01 9.77e-01 -6.393588976e+02 4.225786229e+02 2.1e-04 0.25
14 2.6e-01 3.4e-01 1.4e+01 1.00e+00 -2.623856911e+02 3.061913456e+02 1.2e-04 0.26
15 9.2e-02 1.5e-01 5.3e+00 1.00e+00 -2.393510515e+00 2.056343092e+02 4.3e-05 0.27
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.576523053e+01 2.083366475e+02 4.0e-05 0.27
17 6.0e-02 9.5e-02 3.4e+00 1.02e+00 6.107159435e+01 1.952044406e+02 2.8e-05 0.29
18 3.4e-02 7.3e-02 1.9e+00 1.02e+00 1.081911629e+02 1.827217329e+02 1.6e-05 0.30
19 9.3e-03 1.7e-01 5.4e-01 1.02e+00 1.512030703e+02 1.719128102e+02 4.3e-06 0.31
20 3.4e-03 2.1e-01 2.0e-01 1.01e+00 1.605108813e+02 1.682875588e+02 1.7e-06 0.32
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642779386e+02 1.671863581e+02 6.2e-07 0.33
22 8.5e-04 1.0e-01 5.1e-02 9.84e-01 1.649813607e+02 1.669397440e+02 4.2e-07 0.34
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659710773e+02 1.665859665e+02 1.3e-07 0.35
24 9.4e-05 1.0e-01 6.0e-03 1.01e+00 1.662464748e+02 1.664756799e+02 5.1e-08 0.36
25 3.7e-05 9.6e-02 2.4e-03 1.01e+00 1.663445756e+02 1.664349664e+02 2.0e-08 0.37
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663787295e+02 1.664205999e+02 9.5e-09 0.38
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663822228e+02 1.664199215e+02 8.5e-09 0.39
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663847894e+02 1.664187110e+02 7.7e-09 0.39
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663871431e+02 1.664176671e+02 6.9e-09 0.40
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663892513e+02 1.664167186e+02 6.2e-09 0.41
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663911472e+02 1.664158643e+02 5.6e-09 0.42
32 9.0e-06 4.7e-02 5.9e-04 1.00e+00 1.663928513e+02 1.664150937e+02 5.0e-09 0.43
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663943832e+02 1.664143991e+02 4.5e-09 0.45
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663957605e+02 1.664137728e+02 4.1e-09 0.52
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969989e+02 1.664132084e+02 3.7e-09 0.53
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663981123e+02 1.664126996e+02 3.3e-09 0.54
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663991136e+02 1.664122411e+02 3.0e-09 0.60
38 4.8e-06 2.9e-02 3.1e-04 1.00e+00 1.664000139e+02 1.664118279e+02 2.7e-09 0.61
39 4.3e-06 2.7e-02 2.8e-04 1.00e+00 1.664008236e+02 1.664114555e+02 2.4e-09 0.62
40 3.9e-06 2.5e-02 2.5e-04 1.00e+00 1.664015518e+02 1.664111199e+02 2.2e-09 0.63
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664022066e+02 1.664108175e+02 2.0e-09 0.64
42 3.1e-06 2.1e-02 2.1e-04 1.00e+00 1.664027956e+02 1.664105450e+02 1.8e-09 0.65
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664033252e+02 1.664102994e+02 1.6e-09 0.67
44 2.5e-06 1.9e-02 1.7e-04 1.00e+00 1.664038016e+02 1.664100781e+02 1.4e-09 0.68
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042302e+02 1.664098788e+02 1.3e-09 0.69
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664046157e+02 1.664096993e+02 1.2e-09 0.70
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049625e+02 1.664095376e+02 1.0e-09 0.71
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052745e+02 1.664093921e+02 9.3e-10 0.72
49 1.5e-06 1.4e-02 9.8e-05 1.00e+00 1.664055553e+02 1.664092610e+02 8.4e-10 0.73
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664058079e+02 1.664091430e+02 7.6e-10 0.74
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060351e+02 1.664090367e+02 6.8e-10 0.75
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062396e+02 1.664089409e+02 6.1e-10 0.76
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064235e+02 1.664088547e+02 5.5e-10 0.77
54 8.9e-07 1.2e-02 5.8e-05 1.00e+00 1.664065891e+02 1.664087771e+02 5.0e-10 0.79
55 8.0e-07 1.1e-02 5.2e-05 1.00e+00 1.664067380e+02 1.664087072e+02 4.5e-10 0.80
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068719e+02 1.664086443e+02 4.0e-10 0.81
57 6.5e-07 1.0e-02 4.2e-05 1.00e+00 1.664069924e+02 1.664085875e+02 3.6e-10 0.82
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664071009e+02 1.664085364e+02 3.3e-10 0.83
59 5.2e-07 9.9e-03 3.4e-05 1.00e+00 1.664071984e+02 1.664084904e+02 2.9e-10 0.84
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072861e+02 1.664084489e+02 2.6e-10 0.85
61 4.2e-07 9.5e-03 2.8e-05 1.00e+00 1.664073650e+02 1.664084115e+02 2.4e-10 0.86
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074360e+02 1.664083778e+02 2.1e-10 0.87
63 3.4e-07 9.1e-03 2.3e-05 1.00e+00 1.664074999e+02 1.664083475e+02 1.9e-10 0.88
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075573e+02 1.664083201e+02 1.7e-10 0.89
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076090e+02 1.664082955e+02 1.6e-10 0.90
66 2.5e-07 8.7e-03 1.6e-05 1.00e+00 1.664076555e+02 1.664082734e+02 1.4e-10 0.97
67 2.3e-07 8.6e-03 1.5e-05 9.99e-01 1.664076973e+02 1.664082534e+02 1.3e-10 0.99
68 2.0e-07 8.5e-03 1.3e-05 1.00e+00 1.664077350e+02 1.664082355e+02 1.1e-10 1.00
69 1.8e-07 8.4e-03 1.2e-05 1.00e+00 1.664077689e+02 1.664082192e+02 1.0e-10 1.01
70 1.6e-07 8.3e-03 1.1e-05 9.97e-01 1.664077993e+02 1.664082047e+02 9.2e-11 1.02
71 1.5e-07 8.2e-03 9.7e-06 1.00e+00 1.664078268e+02 1.664081916e+02 8.3e-11 1.03
72 1.3e-07 8.2e-03 8.7e-06 1.00e+00 1.664078514e+02 1.664081798e+02 7.5e-11 1.04
73 1.2e-07 8.1e-03 7.9e-06 1.00e+00 1.664078737e+02 1.664081692e+02 6.7e-11 1.10
74 1.1e-07 8.0e-03 7.1e-06 1.00e+00 1.664078936e+02 1.664081596e+02 6.0e-11 1.11
75 9.7e-08 8.0e-03 6.4e-06 9.96e-01 1.664079116e+02 1.664081510e+02 5.4e-11 1.12
76 8.7e-08 7.2e-03 5.7e-06 1.01e+00 1.664079282e+02 1.664081430e+02 4.9e-11 1.14
77 7.9e-08 6.5e-03 5.2e-06 1.00e+00 1.664079427e+02 1.664081361e+02 4.4e-11 1.15
78 7.1e-08 5.8e-03 4.6e-06 9.99e-01 1.664079558e+02 1.664081298e+02 4.0e-11 1.16
79 6.4e-08 5.2e-03 4.2e-06 1.00e+00 1.664079676e+02 1.664081242e+02 3.6e-11 1.17
80 5.7e-08 4.7e-03 3.8e-06 1.00e+00 1.664079782e+02 1.664081190e+02 3.2e-11 1.18
81 5.2e-08 4.2e-03 3.4e-06 9.89e-01 1.664079877e+02 1.664081145e+02 2.9e-11 1.19
82 4.6e-08 3.8e-03 3.0e-06 1.00e+00 1.664079963e+02 1.664081104e+02 2.6e-11 1.21
83 4.2e-08 3.4e-03 2.7e-06 9.96e-01 1.664080040e+02 1.664081067e+02 2.3e-11 1.22
84 3.8e-08 3.1e-03 2.5e-06 1.02e+00 1.664080115e+02 1.664081030e+02 2.1e-11 1.23
85 3.4e-08 2.8e-03 2.2e-06 1.01e+00 1.664080178e+02 1.664081000e+02 1.9e-11 1.24
86 3.0e-08 2.5e-03 2.0e-06 1.03e+00 1.664080242e+02 1.664080969e+02 1.8e-11 1.25
87 2.7e-08 2.3e-03 1.8e-06 9.95e-01 1.664080291e+02 1.664080945e+02 1.6e-11 1.26
88 2.5e-08 2.0e-03 1.6e-06 9.98e-01 1.664080335e+02 1.664080924e+02 1.4e-11 1.27
89 2.2e-08 1.8e-03 1.5e-06 9.62e-01 1.664080375e+02 1.664080906e+02 1.3e-11 1.28
90 2.0e-08 1.6e-03 1.3e-06 1.03e+00 1.664080415e+02 1.664080886e+02 1.2e-11 1.29
91 1.8e-08 1.5e-03 1.2e-06 9.82e-01 1.664080447e+02 1.664080871e+02 1.0e-11 1.30
92 1.6e-08 1.3e-03 1.1e-06 9.54e-01 1.664080475e+02 1.664080858e+02 9.4e-12 1.31
93 1.5e-08 1.2e-03 9.6e-07 9.98e-01 1.664080501e+02 1.664080846e+02 8.5e-12 1.32
94 1.3e-08 1.1e-03 8.6e-07 9.98e-01 1.664080524e+02 1.664080835e+02 7.6e-12 1.34
95 1.2e-08 9.7e-04 7.7e-07 1.00e+00 1.664080545e+02 1.664080824e+02 6.9e-12 1.34
96 1.1e-08 8.7e-04 7.0e-07 1.02e+00 1.664080566e+02 1.664080814e+02 6.3e-12 1.35
97 9.6e-09 7.9e-04 6.3e-07 9.92e-01 1.664080583e+02 1.664080806e+02 5.6e-12 1.36
98 8.6e-09 7.1e-04 5.6e-07 1.00e+00 1.664080598e+02 1.664080799e+02 5.1e-12 1.37
99 7.8e-09 6.4e-04 5.1e-07 8.69e-01 1.664080611e+02 1.664080793e+02 4.6e-12 1.38
100 7.1e-09 5.7e-04 4.6e-07 1.08e+00 1.664080628e+02 1.664080784e+02 4.3e-12 1.39
101 6.3e-09 5.2e-04 4.1e-07 1.03e+00 1.664080640e+02 1.664080779e+02 3.9e-12 1.41
102 5.8e-09 4.6e-04 3.7e-07 1.02e+00 1.664080650e+02 1.664080774e+02 3.6e-12 1.42
103 5.2e-09 4.2e-04 3.3e-07 1.16e+00 1.664080665e+02 1.664080766e+02 3.5e-12 1.43
104 4.9e-09 3.8e-04 3.0e-07 1.18e+00 1.664080677e+02 1.664080759e+02 3.4e-12 1.44
105 4.3e-09 3.4e-04 2.7e-07 9.21e-01 1.664080683e+02 1.664080757e+02 3.1e-12 1.45
106 3.9e-09 3.0e-04 2.4e-07 9.86e-01 1.664080688e+02 1.664080754e+02 2.8e-12 1.46
107 3.5e-09 2.7e-04 2.2e-07 9.89e-01 1.664080692e+02 1.664080752e+02 2.5e-12 1.47
108 3.2e-09 2.5e-04 2.0e-07 8.69e-01 1.664080697e+02 1.664080751e+02 2.2e-12 1.48
109 2.8e-09 2.2e-04 1.8e-07 9.72e-01 1.664080700e+02 1.664080749e+02 2.0e-12 1.49
110 2.6e-09 2.0e-04 1.6e-07 9.68e-01 1.664080704e+02 1.664080748e+02 1.8e-12 1.50
111 2.3e-09 1.8e-04 1.4e-07 9.06e-01 1.664080707e+02 1.664080746e+02 1.6e-12 1.51
112 2.2e-09 1.6e-04 1.3e-07 1.13e+00 1.664080711e+02 1.664080744e+02 1.6e-12 1.52
113 2.0e-09 1.5e-04 1.2e-07 9.37e-01 1.664080713e+02 1.664080743e+02 1.4e-12 1.53
114 2.2e-09 1.3e-04 1.0e-07 1.83e+00 1.664080715e+02 1.664080741e+02 1.3e-12 1.54
115 4.8e-09 2.2e-05 1.7e-08 9.25e-01 1.664080730e+02 1.664080735e+02 1.7e-13 1.55
Interior-point optimizer terminated. Time: 1.55.
Optimizer terminated. Time: 1.56
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807304e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6640807346e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.57 seconds.
Solving took 9 GP solves and 45.2 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: 1.4957406629167254e+110 vs 1.49570277401e+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: 3.705362379434917e+72 vs 3.70524499726e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682663]
Total Aircraft Weight Percent Diff: [-21.48057376]
Engine Weight Percent Diff: -56.27823015756409
Fuselage Weight Percent Diff: -0.8697455648804873
Payload Weight Percent Diff: [-0.04003563]
VT Weight Percent Diff: -8.608068390995863
HT Weight Percent Diff: -93.23331244693738
Wing Weight Percent Diff: 8.267462144106425
WING DIFFERENCES
Wing Span Percent Diff: -0.02999162605476862
Wing Area Percent Diff: 32.899949085753896
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.488997528250295
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022361046708031
VT Area Percent Diff: -60.38685399055827
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54725282]
L/D Percent Diff: [24.0102275]
Nacelle Cd Percent Diff: [-94.27642617]
HT Cd Percent Diff: [-80.76940588] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00301547] dimensionless
Wing Cd percent Diff: [-14.22920948]
Induced Drag Cd Percent Diff: [1.21944604]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57036112]
FUSELAGE DIFFERENCES
Weight of HB material: -38.36119560775761
Weight of VB material: 87.81357819859169
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260525]