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Passed
gpkit.tests.from_paths.TestFiles.test_SPaircraft_py_mosek (from gpkit.tests.from_paths.TestFiles-20190827175709)
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[:]^-0.137561 + 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 : 0.03 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 -1.285824792e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.5e+03 6.3e+04 -9.71e-01 -1.265132514e+05 3.611589420e+00 4.9e-01 0.05
2 4.1e+02 5.4e+02 2.3e+04 -9.38e-01 -1.199666169e+05 1.064041138e+01 1.8e-01 0.06
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.156309126e+05 6.812702963e+01 1.3e-01 0.07
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.131522901e+05 2.113211995e+03 1.3e-01 0.08
5 8.8e+01 1.2e+02 5.0e+03 -7.53e-01 -8.096538237e+04 8.430204037e+03 3.9e-02 0.09
6 3.7e+01 4.8e+01 2.1e+03 -2.92e-01 -4.806295568e+04 1.015705753e+04 1.6e-02 0.10
7 2.1e+01 2.8e+01 1.2e+03 2.53e-01 -3.183959973e+04 7.147574260e+03 9.5e-03 0.11
8 9.4e+00 1.2e+01 5.3e+02 5.37e-01 -1.516213576e+04 4.167067597e+03 4.2e-03 0.12
9 5.5e+00 7.2e+00 3.1e+02 8.14e-01 -8.873654488e+03 2.833843752e+03 2.5e-03 0.13
10 1.3e+00 1.8e+00 7.7e+01 9.07e-01 -2.032976954e+03 9.282385087e+02 6.1e-04 0.14
11 7.0e-01 9.2e-01 4.0e+01 9.94e-01 -8.350002142e+02 7.206024908e+02 3.2e-04 0.15
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.846306076e+02 5.632460213e+02 2.1e-04 0.16
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.148957258e+02 4.857769751e+02 1.6e-04 0.18
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.857417116e+01 3.656902710e+02 7.9e-05 0.19
15 5.5e-02 1.5e-01 3.3e+00 9.94e-01 1.620485362e+02 2.901550655e+02 2.6e-05 0.20
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.996394651e+02 2.746181590e+02 1.6e-05 0.21
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.444824012e+02 2.572405213e+02 2.8e-06 0.22
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509288752e+02 2.546905409e+02 8.3e-07 0.23
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527800442e+02 2.540213968e+02 2.8e-07 0.24
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532857302e+02 2.538354980e+02 1.2e-07 0.25
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533271035e+02 2.538219096e+02 1.1e-07 0.26
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533631908e+02 2.538084914e+02 1.0e-07 0.27
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533957124e+02 2.537964664e+02 9.0e-08 0.29
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534249555e+02 2.537856200e+02 8.1e-08 0.30
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534512557e+02 2.537758421e+02 7.3e-08 0.31
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534749084e+02 2.537670264e+02 6.6e-08 0.32
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534961824e+02 2.537590805e+02 5.9e-08 0.33
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535153179e+02 2.537519196e+02 5.3e-08 0.34
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535325308e+02 2.537454669e+02 4.8e-08 0.35
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535480148e+02 2.537396530e+02 4.3e-08 0.37
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535619442e+02 2.537344150e+02 3.9e-08 0.38
32 5.9e-05 2.9e-02 4.0e-03 1.00e+00 2.535744754e+02 2.537296963e+02 3.5e-08 0.39
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535857490e+02 2.537254456e+02 3.1e-08 0.40
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535958915e+02 2.537216167e+02 2.8e-08 0.41
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536050166e+02 2.537181679e+02 2.5e-08 0.42
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536132264e+02 2.537150615e+02 2.3e-08 0.44
37 3.5e-05 2.0e-02 2.4e-03 1.00e+00 2.536206130e+02 2.537122637e+02 2.1e-08 0.45
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536272589e+02 2.537097440e+02 1.9e-08 0.46
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536332386e+02 2.537074747e+02 1.7e-08 0.47
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536386189e+02 2.537054310e+02 1.5e-08 0.48
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536434601e+02 2.537035907e+02 1.4e-08 0.49
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536478161e+02 2.537019335e+02 1.2e-08 0.50
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536517357e+02 2.537004413e+02 1.1e-08 0.51
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536552627e+02 2.536990976e+02 9.8e-09 0.52
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536584365e+02 2.536978878e+02 8.9e-09 0.53
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536612924e+02 2.536967986e+02 8.0e-09 0.54
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536638623e+02 2.536958179e+02 7.2e-09 0.55
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536661750e+02 2.536949350e+02 6.5e-09 0.55
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536682562e+02 2.536941402e+02 5.8e-09 0.56
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536701290e+02 2.536934247e+02 5.2e-09 0.57
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536718144e+02 2.536927806e+02 4.7e-09 0.58
52 7.2e-06 1.0e-02 4.9e-04 1.00e+00 2.536733312e+02 2.536922007e+02 4.2e-09 0.60
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536746961e+02 2.536916788e+02 3.8e-09 0.61
54 5.9e-06 9.6e-03 3.9e-04 1.00e+00 2.536759245e+02 2.536912089e+02 3.4e-09 0.62
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770300e+02 2.536907860e+02 3.1e-09 0.63
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780248e+02 2.536904052e+02 2.8e-09 0.64
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789201e+02 2.536900625e+02 2.5e-09 0.65
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797258e+02 2.536897540e+02 2.3e-09 0.67
59 3.5e-06 8.7e-03 2.3e-04 1.00e+00 2.536804509e+02 2.536894763e+02 2.0e-09 0.68
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811034e+02 2.536892263e+02 1.8e-09 0.69
61 1.2e-06 3.3e-03 8.1e-05 1.00e+00 2.536846840e+02 2.536878533e+02 7.1e-10 0.70
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849137e+02 2.536877661e+02 6.4e-10 0.71
63 6.3e-07 1.7e-03 4.2e-05 1.00e+00 2.536857900e+02 2.536874299e+02 3.7e-10 0.73
64 5.7e-07 1.6e-03 3.8e-05 1.00e+00 2.536858969e+02 2.536873888e+02 3.4e-10 0.74
65 5.3e-07 1.5e-03 3.6e-05 1.00e+00 2.536859684e+02 2.536873613e+02 3.1e-10 0.75
66 5.2e-07 1.5e-03 3.5e-05 1.00e+00 2.536859879e+02 2.536873538e+02 3.1e-10 0.76
67 4.8e-07 1.3e-03 3.2e-05 1.00e+00 2.536860770e+02 2.536873196e+02 2.8e-10 0.77
68 4.3e-07 1.2e-03 2.9e-05 1.00e+00 2.536861580e+02 2.536872885e+02 2.5e-10 0.79
69 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862397e+02 2.536872572e+02 2.3e-10 0.80
70 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862425e+02 2.536872561e+02 2.3e-10 0.81
71 3.5e-07 9.8e-04 2.3e-05 1.00e+00 2.536863157e+02 2.536872280e+02 2.0e-10 0.82
72 3.2e-07 8.9e-04 2.1e-05 1.00e+00 2.536863752e+02 2.536872051e+02 1.9e-10 0.83
73 2.9e-07 8.2e-04 2.0e-05 1.00e+00 2.536864240e+02 2.536871864e+02 1.7e-10 0.84
74 2.6e-07 7.4e-04 1.8e-05 1.00e+00 2.536864764e+02 2.536871663e+02 1.6e-10 0.85
75 2.6e-07 7.4e-04 1.8e-05 1.00e+00 2.536864782e+02 2.536871656e+02 1.5e-10 0.86
76 2.6e-07 7.4e-04 1.8e-05 1.00e+00 2.536864801e+02 2.536871649e+02 1.5e-10 0.87
77 2.4e-07 6.6e-04 1.6e-05 1.00e+00 2.536865296e+02 2.536871459e+02 1.4e-10 0.88
78 2.3e-07 6.5e-04 1.6e-05 1.00e+00 2.536865382e+02 2.536871425e+02 1.4e-10 0.89
79 2.3e-07 6.5e-04 1.5e-05 1.00e+00 2.536865398e+02 2.536871419e+02 1.4e-10 0.90
80 2.3e-07 6.5e-04 1.5e-05 1.00e+00 2.536865415e+02 2.536871413e+02 1.3e-10 0.91
81 2.1e-07 5.8e-04 1.4e-05 1.00e+00 2.536865848e+02 2.536871246e+02 1.2e-10 0.92
82 1.9e-07 5.3e-04 1.2e-05 1.00e+00 2.536866238e+02 2.536871097e+02 1.1e-10 0.93
83 1.7e-07 4.8e-04 1.1e-05 1.00e+00 2.536866571e+02 2.536870968e+02 9.9e-11 0.94
84 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866583e+02 2.536870964e+02 9.8e-11 0.94
85 1.5e-07 4.3e-04 1.0e-05 1.00e+00 2.536866900e+02 2.536870842e+02 8.9e-11 0.96
86 1.4e-07 4.1e-04 9.7e-06 1.00e+00 2.536867025e+02 2.536870794e+02 8.5e-11 0.97
87 1.4e-07 4.1e-04 9.7e-06 1.00e+00 2.536867035e+02 2.536870790e+02 8.4e-11 0.98
88 1.3e-07 3.7e-04 8.7e-06 1.00e+00 2.536867307e+02 2.536870686e+02 7.6e-11 0.99
89 1.2e-07 3.3e-04 7.9e-06 1.00e+00 2.536867538e+02 2.536870597e+02 6.9e-11 1.00
90 1.1e-07 3.1e-04 7.3e-06 1.00e+00 2.536867685e+02 2.536870540e+02 6.4e-11 1.02
91 1.1e-07 3.1e-04 7.3e-06 1.00e+00 2.536867693e+02 2.536870537e+02 6.4e-11 1.03
92 9.9e-08 2.8e-04 6.7e-06 1.00e+00 2.536867878e+02 2.536870466e+02 5.8e-11 1.04
93 9.9e-08 2.8e-04 6.6e-06 1.00e+00 2.536867885e+02 2.536870463e+02 5.8e-11 1.05
94 9.0e-08 2.6e-04 6.0e-06 1.00e+00 2.536868053e+02 2.536870399e+02 5.3e-11 1.06
95 8.9e-08 2.6e-04 6.0e-06 1.00e+00 2.536868059e+02 2.536870396e+02 5.3e-11 1.07
96 8.3e-08 2.4e-04 5.6e-06 1.00e+00 2.536868171e+02 2.536870353e+02 4.9e-11 1.08
97 8.3e-08 2.4e-04 5.6e-06 1.00e+00 2.536868172e+02 2.536870353e+02 4.9e-11 1.09
98 7.5e-08 2.2e-04 5.0e-06 1.00e+00 2.536868329e+02 2.536870293e+02 4.4e-11 1.10
99 6.8e-08 1.9e-04 4.6e-06 1.00e+00 2.536868464e+02 2.536870241e+02 4.0e-11 1.11
100 6.1e-08 1.8e-04 4.1e-06 1.00e+00 2.536868592e+02 2.536870191e+02 3.6e-11 1.13
101 6.1e-08 1.7e-04 4.1e-06 1.00e+00 2.536868596e+02 2.536870190e+02 3.6e-11 1.14
102 5.5e-08 1.6e-04 3.7e-06 1.00e+00 2.536868706e+02 2.536870148e+02 3.2e-11 1.15
103 5.0e-08 1.4e-04 3.3e-06 1.00e+00 2.536868810e+02 2.536870107e+02 2.9e-11 1.16
104 5.0e-08 1.4e-04 3.3e-06 1.00e+00 2.536868810e+02 2.536870107e+02 2.9e-11 1.17
105 4.5e-08 1.3e-04 3.0e-06 1.00e+00 2.536868904e+02 2.536870071e+02 2.6e-11 1.18
106 4.0e-08 1.2e-04 2.7e-06 1.00e+00 2.536868984e+02 2.536870041e+02 2.4e-11 1.19
107 3.7e-08 1.0e-04 2.5e-06 1.00e+00 2.536869056e+02 2.536870013e+02 2.1e-11 1.20
108 3.3e-08 9.4e-05 2.2e-06 1.00e+00 2.536869125e+02 2.536869986e+02 1.9e-11 1.22
109 3.2e-08 9.3e-05 2.2e-06 1.00e+00 2.536869137e+02 2.536869981e+02 1.9e-11 1.23
110 2.9e-08 8.4e-05 2.0e-06 1.00e+00 2.536869192e+02 2.536869960e+02 1.7e-11 1.24
111 2.6e-08 7.6e-05 1.8e-06 1.00e+00 2.536869248e+02 2.536869939e+02 1.6e-11 1.25
112 2.6e-08 7.6e-05 1.8e-06 9.99e-01 2.536869248e+02 2.536869939e+02 1.6e-11 1.27
113 2.4e-08 6.8e-05 1.6e-06 9.99e-01 2.536869298e+02 2.536869920e+02 1.4e-11 1.28
114 2.2e-08 6.2e-05 1.4e-06 1.00e+00 2.536869340e+02 2.536869903e+02 1.3e-11 1.29
115 1.9e-08 5.6e-05 1.3e-06 9.99e-01 2.536869381e+02 2.536869888e+02 1.1e-11 1.30
116 1.9e-08 5.6e-05 1.3e-06 1.00e+00 2.536869381e+02 2.536869888e+02 1.1e-11 1.32
117 1.7e-08 5.0e-05 1.2e-06 1.00e+00 2.536869418e+02 2.536869873e+02 1.0e-11 1.33
118 1.6e-08 4.5e-05 1.1e-06 1.00e+00 2.536869449e+02 2.536869861e+02 9.3e-12 1.34
119 1.4e-08 4.2e-05 9.7e-07 9.99e-01 2.536869473e+02 2.536869852e+02 8.5e-12 1.35
120 1.4e-08 3.9e-05 9.1e-07 1.00e+00 2.536869491e+02 2.536869845e+02 7.9e-12 1.36
121 1.4e-08 3.9e-05 9.1e-07 1.00e+00 2.536869491e+02 2.536869845e+02 7.9e-12 1.37
122 1.2e-08 3.5e-05 8.2e-07 1.00e+00 2.536869517e+02 2.536869835e+02 7.2e-12 1.39
123 1.1e-08 3.2e-05 7.4e-07 1.00e+00 2.536869539e+02 2.536869827e+02 6.5e-12 1.40
124 1.1e-08 3.2e-05 7.4e-07 1.00e+00 2.536869539e+02 2.536869827e+02 6.5e-12 1.41
125 1.0e-08 2.9e-05 6.8e-07 1.00e+00 2.536869556e+02 2.536869820e+02 6.0e-12 1.42
Interior-point optimizer terminated. Time: 1.43.
Optimizer terminated. Time: 1.44
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695557e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698201e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.46 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 : 0.03 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 3.781070854e+00 4.7e-01 0.24
2 4.6e+02 6.0e+02 2.6e+04 -9.35e-01 -1.210471961e+05 9.871250676e+00 2.0e-01 0.44
3 2.9e+02 3.8e+02 1.6e+04 -8.50e-01 -1.158624976e+05 5.253701893e+01 1.3e-01 0.54
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.137381539e+05 1.863811989e+03 1.3e-01 0.67
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.842864609e+04 9.038469624e+03 3.6e-02 0.68
6 3.6e+01 4.7e+01 2.0e+03 -2.53e-01 -4.698030025e+04 1.010176984e+04 1.6e-02 0.70
7 1.8e+01 2.4e+01 1.0e+03 2.76e-01 -2.813348677e+04 6.397682928e+03 8.2e-03 0.71
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.477869522e+04 4.004072555e+03 4.0e-03 0.72
9 5.7e+00 7.4e+00 3.2e+02 8.20e-01 -9.247829810e+03 2.776681994e+03 2.5e-03 0.74
10 1.9e+00 2.5e+00 1.1e+02 9.03e-01 -3.003060311e+03 1.154002763e+03 8.5e-04 0.75
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.419019066e+03 1.010907144e+03 7.0e-04 0.76
12 1.0e+00 1.4e+00 5.7e+01 9.77e-01 -1.494909735e+03 7.263450012e+02 4.5e-04 0.78
13 4.7e-01 7.0e-01 2.7e+01 9.83e-01 -6.134619965e+02 4.375216255e+02 2.1e-04 0.79
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.355955443e+02 3.290668979e+02 1.1e-04 0.80
15 1.0e-01 1.7e-01 5.9e+00 1.00e+00 7.317590836e+00 2.369834110e+02 4.7e-05 0.82
16 5.0e-02 1.0e-01 2.9e+00 1.00e+00 9.073387093e+01 2.038614785e+02 2.3e-05 0.83
17 1.0e-02 1.5e-01 6.3e-01 1.01e+00 1.546017194e+02 1.791070627e+02 5.2e-06 0.84
18 6.2e-03 1.0e-01 3.8e-01 1.01e+00 1.615121005e+02 1.764421344e+02 3.2e-06 0.85
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.694752258e+02 1.734658672e+02 8.7e-07 0.86
20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717779138e+02 1.726253081e+02 1.9e-07 0.88
21 1.4e-04 1.0e-01 9.3e-03 9.93e-01 1.721395921e+02 1.725021454e+02 8.2e-08 0.89
22 8.8e-05 8.3e-02 5.9e-03 1.00e+00 1.722353221e+02 1.724645584e+02 5.2e-08 0.90
23 7.9e-05 7.7e-02 5.3e-03 1.00e+00 1.722533709e+02 1.724597543e+02 4.7e-08 0.91
24 7.1e-05 7.0e-02 4.8e-03 1.00e+00 1.722685688e+02 1.724543184e+02 4.2e-08 0.92
25 6.4e-05 6.4e-02 4.3e-03 1.00e+00 1.722822900e+02 1.724494654e+02 3.8e-08 0.93
26 5.8e-05 5.8e-02 3.9e-03 1.00e+00 1.722946098e+02 1.724450674e+02 3.4e-08 0.95
27 5.2e-05 5.3e-02 3.5e-03 1.00e+00 1.723056848e+02 1.724410957e+02 3.1e-08 0.96
28 4.7e-05 4.9e-02 3.1e-03 1.00e+00 1.723156374e+02 1.724375061e+02 2.8e-08 0.97
29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723245811e+02 1.724342618e+02 2.5e-08 0.98
30 3.8e-05 4.1e-02 2.5e-03 1.00e+00 1.723326182e+02 1.724313297e+02 2.2e-08 1.00
31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723398410e+02 1.724286803e+02 2.0e-08 1.01
32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723463324e+02 1.724262870e+02 1.8e-08 1.02
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723521672e+02 1.724241256e+02 1.6e-08 1.04
34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723574124e+02 1.724221743e+02 1.5e-08 1.05
35 2.2e-05 2.8e-02 1.5e-03 1.00e+00 1.723621281e+02 1.724204133e+02 1.3e-08 1.06
36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723663681e+02 1.724188244e+02 1.2e-08 1.07
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723701807e+02 1.724173911e+02 1.1e-08 1.08
38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723736092e+02 1.724160984e+02 9.6e-09 1.10
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723766926e+02 1.724149327e+02 8.6e-09 1.11
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723794657e+02 1.724138818e+02 7.8e-09 1.12
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723819599e+02 1.724129342e+02 7.0e-09 1.14
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723842033e+02 1.724120802e+02 6.3e-09 1.15
43 9.6e-06 1.6e-02 6.5e-04 1.00e+00 1.723862212e+02 1.724113104e+02 5.7e-09 1.16
44 8.7e-06 1.5e-02 5.8e-04 1.00e+00 1.723880364e+02 1.724106167e+02 5.1e-09 1.17
45 7.8e-06 1.5e-02 5.2e-04 1.00e+00 1.723896693e+02 1.724099916e+02 4.6e-09 1.18
46 7.0e-06 1.4e-02 4.7e-04 1.00e+00 1.723911382e+02 1.724094283e+02 4.1e-09 1.19
47 6.3e-06 1.3e-02 4.3e-04 1.00e+00 1.723924597e+02 1.724089208e+02 3.7e-09 1.20
48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723936485e+02 1.724084636e+02 3.3e-09 1.21
49 5.1e-06 1.2e-02 3.4e-04 1.00e+00 1.723947181e+02 1.724080517e+02 3.0e-09 1.22
50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723956804e+02 1.724076807e+02 2.7e-09 1.23
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965462e+02 1.724073465e+02 2.4e-09 1.25
52 3.7e-06 1.1e-02 2.5e-04 1.00e+00 1.723973252e+02 1.724070455e+02 2.2e-09 1.26
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980261e+02 1.724067744e+02 2.0e-09 1.27
54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986567e+02 1.724065302e+02 1.8e-09 1.28
55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992242e+02 1.724063103e+02 1.6e-09 1.29
56 2.5e-06 9.7e-03 1.6e-04 1.00e+00 1.723997348e+02 1.724061123e+02 1.4e-09 1.30
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001942e+02 1.724059340e+02 1.3e-09 1.31
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724006076e+02 1.724057735e+02 1.2e-09 1.32
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009796e+02 1.724056289e+02 1.1e-09 1.33
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013143e+02 1.724054987e+02 9.5e-10 1.34
61 1.4e-06 8.8e-03 9.7e-05 1.00e+00 1.724016156e+02 1.724053815e+02 8.5e-10 1.34
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018866e+02 1.724052760e+02 7.7e-10 1.35
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021305e+02 1.724051809e+02 6.9e-10 1.37
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023500e+02 1.724050953e+02 6.2e-10 1.38
65 9.5e-07 8.4e-03 6.4e-05 1.00e+00 1.724025475e+02 1.724050183e+02 5.6e-10 1.39
66 8.5e-07 8.3e-03 5.7e-05 1.00e+00 1.724027252e+02 1.724049490e+02 5.0e-10 1.40
67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028851e+02 1.724048865e+02 4.5e-10 1.41
68 6.9e-07 8.1e-03 4.7e-05 1.00e+00 1.724030290e+02 1.724048303e+02 4.1e-10 1.42
69 6.2e-07 8.0e-03 4.2e-05 1.00e+00 1.724031585e+02 1.724047797e+02 3.7e-10 1.44
70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032751e+02 1.724047342e+02 3.3e-10 1.45
71 5.0e-07 7.9e-03 3.4e-05 1.00e+00 1.724033799e+02 1.724046931e+02 3.0e-10 1.46
72 4.5e-07 7.9e-03 3.1e-05 1.00e+00 1.724034743e+02 1.724046562e+02 2.7e-10 1.47
73 4.1e-07 7.8e-03 2.7e-05 1.00e+00 1.724035592e+02 1.724046229e+02 2.4e-10 1.49
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036357e+02 1.724045930e+02 2.2e-10 1.50
75 3.3e-07 7.7e-03 2.2e-05 1.00e+00 1.724037044e+02 1.724045660e+02 1.9e-10 1.51
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037663e+02 1.724045418e+02 1.8e-10 1.53
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038220e+02 1.724045199e+02 1.6e-10 1.54
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038721e+02 1.724045002e+02 1.4e-10 1.55
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039172e+02 1.724044825e+02 1.3e-10 1.56
80 2.0e-07 7.6e-03 1.3e-05 9.98e-01 1.724039578e+02 1.724044666e+02 1.2e-10 1.58
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039943e+02 1.724044522e+02 1.0e-10 1.59
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040272e+02 1.724044393e+02 9.3e-11 1.60
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040568e+02 1.724044276e+02 8.4e-11 1.61
84 1.3e-07 7.5e-03 8.6e-06 1.00e+00 1.724040834e+02 1.724044172e+02 7.5e-11 1.62
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041073e+02 1.724044077e+02 6.8e-11 1.64
86 1.0e-07 7.4e-03 7.0e-06 9.99e-01 1.724041289e+02 1.724043993e+02 6.1e-11 1.65
87 9.4e-08 7.4e-03 6.3e-06 9.96e-01 1.724041483e+02 1.724043917e+02 5.5e-11 1.66
88 8.4e-08 7.4e-03 5.7e-06 1.00e+00 1.724041657e+02 1.724043848e+02 5.0e-11 1.67
89 7.6e-08 7.4e-03 5.1e-06 1.00e+00 1.724041814e+02 1.724043786e+02 4.5e-11 1.68
90 6.8e-08 7.4e-03 4.6e-06 9.97e-01 1.724041956e+02 1.724043730e+02 4.0e-11 1.70
91 6.1e-08 7.3e-03 4.1e-06 1.00e+00 1.724042083e+02 1.724043680e+02 3.6e-11 1.71
92 5.5e-08 7.3e-03 3.7e-06 9.99e-01 1.724042197e+02 1.724043635e+02 3.2e-11 1.72
93 5.0e-08 7.3e-03 3.3e-06 9.98e-01 1.724042300e+02 1.724043594e+02 2.9e-11 1.73
94 4.5e-08 7.3e-03 3.0e-06 9.99e-01 1.724042393e+02 1.724043558e+02 2.6e-11 1.75
95 4.0e-08 7.3e-03 2.7e-06 1.00e+00 1.724042477e+02 1.724043525e+02 2.4e-11 1.76
96 3.6e-08 6.6e-03 2.4e-06 1.01e+00 1.724042554e+02 1.724043494e+02 2.1e-11 1.77
97 3.3e-08 5.9e-03 2.2e-06 1.00e+00 1.724042622e+02 1.724043467e+02 1.9e-11 1.78
98 2.9e-08 5.3e-03 2.0e-06 1.00e+00 1.724042682e+02 1.724043443e+02 1.7e-11 1.79
99 2.6e-08 4.8e-03 1.8e-06 1.00e+00 1.724042737e+02 1.724043421e+02 1.6e-11 1.80
100 2.4e-08 4.3e-03 1.6e-06 1.01e+00 1.724042787e+02 1.724043401e+02 1.4e-11 1.82
101 2.1e-08 3.9e-03 1.4e-06 1.02e+00 1.724042835e+02 1.724043382e+02 1.3e-11 1.83
102 1.9e-08 3.5e-03 1.3e-06 9.95e-01 1.724042874e+02 1.724043367e+02 1.1e-11 1.84
103 1.7e-08 3.1e-03 1.2e-06 9.90e-01 1.724042909e+02 1.724043353e+02 1.0e-11 1.86
104 1.6e-08 2.8e-03 1.0e-06 1.01e+00 1.724042942e+02 1.724043340e+02 9.3e-12 1.87
105 4.1e-09 7.1e-04 2.6e-07 1.00e+00 1.724043156e+02 1.724043255e+02 2.3e-12 1.88
106 3.7e-09 6.3e-04 2.4e-07 9.89e-01 1.724043163e+02 1.724043252e+02 2.1e-12 1.89
107 9.2e-10 1.4e-04 5.4e-08 1.02e+00 1.724043212e+02 1.724043232e+02 4.7e-13 1.90
Interior-point optimizer terminated. Time: 1.90.
Optimizer terminated. Time: 1.91
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432121e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432322e+02 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.93 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 : 0.02 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 : 1.46e+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 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.267404369e+05 3.637046833e+00 4.8e-01 0.05
2 4.4e+02 5.7e+02 2.4e+04 -9.36e-01 -1.207993249e+05 1.004621959e+01 1.9e-01 0.06
3 2.9e+02 3.8e+02 1.6e+04 -8.43e-01 -1.160618634e+05 5.990663056e+01 1.3e-01 0.07
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.136045212e+05 2.136094343e+03 1.3e-01 0.08
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.752619676e+04 9.316591768e+03 3.5e-02 0.09
6 4.0e+01 5.2e+01 2.2e+03 -2.34e-01 -5.076742816e+04 1.003180115e+04 1.8e-02 0.10
7 3.0e+01 3.9e+01 1.7e+03 2.19e-01 -4.171035026e+04 8.294889359e+03 1.3e-02 0.11
8 1.9e+01 2.4e+01 1.0e+03 3.81e-01 -2.865136687e+04 5.387059465e+03 8.1e-03 0.12
9 7.9e+00 1.0e+01 4.4e+02 6.03e-01 -1.310594069e+04 3.143044350e+03 3.5e-03 0.13
10 4.0e+00 5.2e+00 2.2e+02 8.46e-01 -6.378096718e+03 2.128677616e+03 1.8e-03 0.14
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.514540192e+03 1.314872025e+03 9.9e-04 0.15
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.333947836e+03 6.456454919e+02 4.0e-04 0.16
13 8.2e-01 1.1e+00 4.6e+01 9.70e-01 -1.223648335e+03 5.999353848e+02 3.7e-04 0.18
14 5.9e-01 7.8e-01 3.3e+01 9.74e-01 -8.149787850e+02 4.893550639e+02 2.6e-04 0.19
15 2.2e-01 7.6e-01 1.2e+01 9.90e-01 -1.999805734e+02 2.844534821e+02 9.8e-05 0.20
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.241236065e+01 2.161155907e+02 4.9e-05 0.21
17 7.7e-02 2.8e-01 4.5e+00 1.01e+00 2.681026596e+01 2.015605270e+02 3.6e-05 0.23
18 5.1e-02 2.0e-01 3.0e+00 1.02e+00 7.891997668e+01 1.950359116e+02 2.4e-05 0.24
19 1.4e-02 1.1e-01 8.5e-01 1.00e+00 1.414695955e+02 1.745815975e+02 6.9e-06 0.25
20 4.0e-03 2.2e-01 2.4e-01 1.02e+00 1.602704030e+02 1.696481451e+02 1.9e-06 0.26
21 2.7e-03 2.1e-01 1.6e-01 1.01e+00 1.624283334e+02 1.687369938e+02 1.3e-06 0.28
22 1.9e-03 1.5e-01 1.2e-01 1.00e+00 1.637169742e+02 1.683012368e+02 9.5e-07 0.29
23 7.5e-04 9.5e-02 4.7e-02 1.01e+00 1.658030101e+02 1.676006396e+02 3.8e-07 0.30
24 3.6e-04 7.9e-02 2.3e-02 1.01e+00 1.664694280e+02 1.673480805e+02 1.9e-07 0.31
25 3.3e-04 7.2e-02 2.1e-02 1.01e+00 1.665375474e+02 1.673287285e+02 1.7e-07 0.33
26 3.0e-04 6.6e-02 1.9e-02 1.01e+00 1.665946417e+02 1.673064454e+02 1.5e-07 0.34
27 2.7e-04 6.0e-02 1.7e-02 1.01e+00 1.666462305e+02 1.672866470e+02 1.4e-07 0.35
28 2.4e-04 5.5e-02 1.5e-02 1.01e+00 1.666924252e+02 1.672686297e+02 1.2e-07 0.36
29 2.2e-04 5.0e-02 1.4e-02 1.01e+00 1.667338744e+02 1.672523190e+02 1.1e-07 0.37
30 1.9e-04 4.6e-02 1.2e-02 1.01e+00 1.667710380e+02 1.672375240e+02 9.9e-08 0.39
31 1.7e-04 4.2e-02 1.1e-02 1.01e+00 1.668043603e+02 1.672241045e+02 8.9e-08 0.40
32 1.6e-04 3.8e-02 9.9e-03 1.01e+00 1.668342366e+02 1.672119303e+02 8.0e-08 0.41
33 1.4e-04 3.5e-02 8.9e-03 1.01e+00 1.668610234e+02 1.672008859e+02 7.2e-08 0.43
34 1.3e-04 3.3e-02 8.0e-03 1.01e+00 1.668850413e+02 1.671908674e+02 6.5e-08 0.44
35 1.1e-04 3.0e-02 7.2e-03 1.00e+00 1.669065787e+02 1.671817818e+02 5.8e-08 0.45
36 1.0e-04 2.8e-02 6.5e-03 1.00e+00 1.669258946e+02 1.671735447e+02 5.3e-08 0.45
37 9.3e-05 2.6e-02 5.8e-03 1.00e+00 1.669432212e+02 1.671660801e+02 4.7e-08 0.46
38 8.3e-05 2.4e-02 5.3e-03 1.00e+00 1.669587661e+02 1.671593183e+02 4.3e-08 0.47
39 7.5e-05 2.2e-02 4.7e-03 1.00e+00 1.669727149e+02 1.671531954e+02 3.8e-08 0.48
40 6.8e-05 2.1e-02 4.3e-03 1.00e+00 1.669852335e+02 1.671476529e+02 3.5e-08 0.49
41 6.1e-05 2.0e-02 3.8e-03 1.00e+00 1.669964702e+02 1.671426373e+02 3.1e-08 0.50
42 5.5e-05 1.8e-02 3.4e-03 1.00e+00 1.670065577e+02 1.671381000e+02 2.8e-08 0.52
43 4.9e-05 1.7e-02 3.1e-03 1.00e+00 1.670156145e+02 1.671339964e+02 2.5e-08 0.53
44 4.4e-05 1.6e-02 2.8e-03 1.00e+00 1.670237472e+02 1.671302860e+02 2.3e-08 0.54
45 4.0e-05 1.6e-02 2.5e-03 1.00e+00 1.670310507e+02 1.671269320e+02 2.0e-08 0.55
46 3.6e-05 1.5e-02 2.3e-03 1.00e+00 1.670376105e+02 1.671239008e+02 1.8e-08 0.56
47 3.2e-05 1.4e-02 2.0e-03 1.00e+00 1.670435028e+02 1.671211621e+02 1.7e-08 0.57
48 2.9e-05 1.4e-02 1.8e-03 1.00e+00 1.670487962e+02 1.671186880e+02 1.5e-08 0.58
49 2.6e-05 1.3e-02 1.7e-03 1.00e+00 1.670535520e+02 1.671164535e+02 1.3e-08 0.59
50 2.4e-05 1.3e-02 1.5e-03 1.00e+00 1.670578251e+02 1.671144357e+02 1.2e-08 0.60
51 2.1e-05 1.2e-02 1.3e-03 1.00e+00 1.670616650e+02 1.671126140e+02 1.1e-08 0.61
52 1.9e-05 1.2e-02 1.2e-03 1.00e+00 1.670651159e+02 1.671109696e+02 9.8e-09 0.62
53 1.7e-05 1.1e-02 1.1e-03 1.00e+00 1.670682174e+02 1.671094856e+02 8.8e-09 0.63
54 1.5e-05 1.1e-02 9.7e-04 1.00e+00 1.670710052e+02 1.671081465e+02 7.9e-09 0.64
55 1.4e-05 1.1e-02 8.8e-04 1.00e+00 1.670735111e+02 1.671069383e+02 7.1e-09 0.65
56 1.3e-05 1.0e-02 7.9e-04 1.00e+00 1.670757639e+02 1.671058483e+02 6.4e-09 0.66
57 1.1e-05 1.0e-02 7.1e-04 1.00e+00 1.670777892e+02 1.671048653e+02 5.8e-09 0.67
58 1.0e-05 1.0e-02 6.4e-04 1.00e+00 1.670796101e+02 1.671039787e+02 5.2e-09 0.69
59 9.1e-06 9.8e-03 5.8e-04 1.00e+00 1.670812475e+02 1.671031793e+02 4.7e-09 0.70
60 8.2e-06 9.6e-03 5.2e-04 1.00e+00 1.670827199e+02 1.671024586e+02 4.2e-09 0.71
61 7.4e-06 9.5e-03 4.7e-04 1.00e+00 1.670840439e+02 1.671018089e+02 3.8e-09 0.72
62 6.6e-06 9.3e-03 4.2e-04 1.00e+00 1.670852348e+02 1.671012233e+02 3.4e-09 0.73
63 6.0e-06 9.2e-03 3.8e-04 1.00e+00 1.670863058e+02 1.671006955e+02 3.1e-09 0.74
64 5.4e-06 9.1e-03 3.4e-04 1.00e+00 1.670872691e+02 1.671002199e+02 2.8e-09 0.76
65 2.0e-06 3.4e-03 1.3e-04 1.00e+00 1.670926154e+02 1.670975503e+02 1.1e-09 0.78
66 6.9e-07 1.2e-03 4.4e-05 1.00e+00 1.670947916e+02 1.670964620e+02 3.6e-10 0.79
67 6.2e-07 1.0e-03 3.9e-05 1.00e+00 1.670949060e+02 1.670964093e+02 3.2e-10 0.80
68 5.6e-07 9.4e-04 3.6e-05 1.00e+00 1.670950055e+02 1.670963585e+02 2.9e-10 0.81
69 5.0e-07 8.5e-04 3.2e-05 1.00e+00 1.670950953e+02 1.670963129e+02 2.6e-10 0.82
70 4.5e-07 7.6e-04 2.9e-05 1.00e+00 1.670951760e+02 1.670962718e+02 2.3e-10 0.84
71 4.1e-07 6.9e-04 2.6e-05 1.00e+00 1.670952487e+02 1.670962348e+02 2.1e-10 0.85
72 3.7e-07 6.2e-04 2.3e-05 1.00e+00 1.670953140e+02 1.670962015e+02 1.9e-10 0.86
73 3.3e-07 5.6e-04 2.1e-05 1.00e+00 1.670953727e+02 1.670961715e+02 1.7e-10 0.88
74 3.0e-07 5.0e-04 1.9e-05 1.00e+00 1.670954256e+02 1.670961445e+02 1.5e-10 0.89
75 2.7e-07 4.5e-04 1.7e-05 1.00e+00 1.670954732e+02 1.670961202e+02 1.4e-10 0.90
76 2.4e-07 4.1e-04 1.5e-05 9.99e-01 1.670955159e+02 1.670960983e+02 1.2e-10 0.91
77 2.2e-07 3.7e-04 1.4e-05 1.00e+00 1.670955544e+02 1.670960785e+02 1.1e-10 0.92
78 2.0e-07 3.3e-04 1.2e-05 1.00e+00 1.670955891e+02 1.670960608e+02 1.0e-10 0.93
79 1.8e-07 3.0e-04 1.1e-05 9.96e-01 1.670956202e+02 1.670960448e+02 9.1e-11 0.94
80 1.6e-07 2.7e-04 1.0e-05 1.00e+00 1.670956483e+02 1.670960304e+02 8.2e-11 0.95
81 1.4e-07 2.4e-04 9.0e-06 9.99e-01 1.670956735e+02 1.670960174e+02 7.3e-11 0.96
82 1.3e-07 2.2e-04 8.1e-06 9.98e-01 1.670956962e+02 1.670960058e+02 6.6e-11 0.98
83 1.2e-07 1.9e-04 7.3e-06 9.98e-01 1.670957166e+02 1.670959953e+02 5.9e-11 1.00
84 1.0e-07 1.7e-04 6.6e-06 9.94e-01 1.670957350e+02 1.670959859e+02 5.4e-11 1.01
85 9.3e-08 1.6e-04 5.9e-06 1.00e+00 1.670957516e+02 1.670959773e+02 4.8e-11 1.02
86 8.4e-08 1.4e-04 5.3e-06 1.01e+00 1.670957669e+02 1.670959694e+02 4.3e-11 1.03
87 7.6e-08 1.3e-04 4.8e-06 9.96e-01 1.670957803e+02 1.670959625e+02 3.9e-11 1.05
88 6.8e-08 1.1e-04 4.3e-06 9.94e-01 1.670957923e+02 1.670959563e+02 3.5e-11 1.06
89 6.1e-08 1.0e-04 3.9e-06 9.94e-01 1.670958031e+02 1.670959508e+02 3.2e-11 1.07
90 5.5e-08 9.3e-05 3.5e-06 1.02e+00 1.670958136e+02 1.670959453e+02 2.9e-11 1.08
91 5.0e-08 8.4e-05 3.1e-06 1.01e+00 1.670958225e+02 1.670959407e+02 2.6e-11 1.10
92 4.5e-08 7.5e-05 2.8e-06 1.01e+00 1.670958306e+02 1.670959365e+02 2.3e-11 1.11
93 4.0e-08 6.8e-05 2.6e-06 9.92e-01 1.670958376e+02 1.670959329e+02 2.1e-11 1.12
94 3.6e-08 6.1e-05 2.3e-06 1.01e+00 1.670958441e+02 1.670959296e+02 1.9e-11 1.14
95 3.3e-08 5.5e-05 2.1e-06 1.00e+00 1.670958497e+02 1.670959266e+02 1.7e-11 1.15
96 2.9e-08 4.9e-05 1.9e-06 9.95e-01 1.670958548e+02 1.670959241e+02 1.5e-11 1.16
97 2.6e-08 4.4e-05 1.7e-06 1.01e+00 1.670958596e+02 1.670959215e+02 1.4e-11 1.17
98 2.4e-08 4.0e-05 1.5e-06 1.01e+00 1.670958640e+02 1.670959193e+02 1.3e-11 1.18
99 2.1e-08 3.6e-05 1.4e-06 9.86e-01 1.670958676e+02 1.670959174e+02 1.1e-11 1.20
100 1.9e-08 3.2e-05 1.2e-06 1.02e+00 1.670958712e+02 1.670959155e+02 1.0e-11 1.21
101 1.7e-08 2.9e-05 1.1e-06 1.05e+00 1.670958748e+02 1.670959136e+02 9.6e-12 1.22
Interior-point optimizer terminated. Time: 1.22.
Optimizer terminated. Time: 1.23
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587480e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6709591362e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.25 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 -1.286499272e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264834053e+05 3.586694448e+00 4.8e-01 0.06
2 4.3e+02 5.6e+02 2.4e+04 -9.36e-01 -1.204818219e+05 1.001254241e+01 1.9e-01 0.17
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.157492250e+05 6.085681181e+01 1.3e-01 0.26
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131499716e+05 2.257755966e+03 1.3e-01 0.34
5 7.4e+01 9.6e+01 4.1e+03 -7.55e-01 -7.449011453e+04 9.842657026e+03 3.3e-02 0.41
6 3.6e+01 4.7e+01 2.0e+03 -1.90e-01 -4.726333930e+04 1.026281024e+04 1.6e-02 0.65
7 2.2e+01 2.9e+01 1.3e+03 2.77e-01 -3.297690937e+04 7.148377590e+03 9.9e-03 0.76
8 1.4e+01 1.7e+01 7.5e+02 5.32e-01 -2.145890859e+04 4.808117293e+03 6.0e-03 0.78
9 5.3e+00 6.9e+00 3.0e+02 7.21e-01 -8.767928148e+03 2.417259298e+03 2.4e-03 0.78
10 2.4e+00 3.1e+00 1.3e+02 9.13e-01 -3.743248417e+03 1.405422906e+03 1.1e-03 0.81
11 1.7e+00 2.3e+00 9.8e+01 9.75e-01 -2.706720775e+03 1.075277062e+03 7.8e-04 0.85
12 8.2e-01 1.1e+00 4.6e+01 9.83e-01 -1.189769676e+03 5.993170841e+02 3.7e-04 0.88
13 7.5e-01 1.1e+00 4.2e+01 9.48e-01 -1.109367105e+03 5.596617041e+02 3.4e-04 0.93
14 6.3e-01 8.8e-01 3.5e+01 9.86e-01 -8.799181487e+02 5.072325316e+02 2.8e-04 1.14
15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.584730260e+02 2.541993771e+02 8.4e-05 1.31
16 1.0e-01 1.7e-01 5.9e+00 1.01e+00 -1.976708089e+01 2.098852904e+02 4.7e-05 1.36
17 1.0e-01 1.7e-01 5.8e+00 1.02e+00 -1.809005960e+01 2.102290715e+02 4.7e-05 1.47
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.591131554e+01 2.106371528e+02 4.0e-05 1.63
19 4.3e-02 9.6e-02 2.5e+00 1.01e+00 9.060807418e+01 1.877228402e+02 2.0e-05 1.80
20 1.2e-02 1.9e-01 6.8e-01 1.01e+00 1.471517654e+02 1.733931247e+02 5.5e-06 2.00
21 4.3e-03 3.5e-01 2.6e-01 1.01e+00 1.590406804e+02 1.689600881e+02 2.1e-06 2.43
22 1.2e-03 1.7e-01 7.5e-02 1.01e+00 1.645646620e+02 1.674291857e+02 6.1e-07 2.58
23 6.7e-04 1.2e-01 4.2e-02 9.81e-01 1.654770021e+02 1.670874886e+02 3.5e-07 2.92
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662934927e+02 1.667797578e+02 1.1e-07 3.07
25 6.2e-05 1.1e-01 4.1e-03 1.01e+00 1.665279462e+02 1.666839339e+02 3.5e-08 3.45
26 2.0e-05 1.1e-01 1.4e-03 1.01e+00 1.666013019e+02 1.666531380e+02 1.2e-08 3.68
27 6.5e-06 1.1e-01 4.4e-04 1.00e+00 1.666261788e+02 1.666427344e+02 3.8e-09 4.05
28 2.2e-06 1.0e-01 1.5e-04 1.00e+00 1.666337593e+02 1.666395185e+02 1.3e-09 4.45
29 7.7e-07 9.7e-02 5.3e-05 1.00e+00 1.666363790e+02 1.666383684e+02 4.5e-10 4.78
30 3.4e-07 8.2e-02 2.3e-05 1.00e+00 1.666371508e+02 1.666380168e+02 2.0e-10 5.34
31 7.3e-08 1.8e-02 5.0e-06 1.00e+00 1.666376162e+02 1.666378049e+02 4.3e-11 5.79
32 6.6e-08 1.6e-02 4.5e-06 9.96e-01 1.666376302e+02 1.666378000e+02 3.9e-11 5.88
33 5.9e-08 1.6e-02 4.1e-06 1.00e+00 1.666376419e+02 1.666377945e+02 3.5e-11 6.19
34 5.3e-08 1.5e-02 3.7e-06 1.00e+00 1.666376523e+02 1.666377896e+02 3.1e-11 6.56
35 4.8e-08 1.4e-02 3.3e-06 1.01e+00 1.666376619e+02 1.666377851e+02 2.8e-11 6.91
36 4.3e-08 1.3e-02 3.0e-06 9.95e-01 1.666376703e+02 1.666377812e+02 2.6e-11 7.22
37 3.9e-08 1.3e-02 2.7e-06 9.96e-01 1.666376779e+02 1.666377777e+02 2.3e-11 7.39
38 3.5e-08 1.2e-02 2.4e-06 9.94e-01 1.666376847e+02 1.666377745e+02 2.1e-11 7.58
39 3.2e-08 1.2e-02 2.2e-06 9.83e-01 1.666376908e+02 1.666377717e+02 1.9e-11 7.89
40 2.8e-08 1.1e-02 1.9e-06 9.96e-01 1.666376963e+02 1.666377692e+02 1.7e-11 8.29
41 2.6e-08 1.1e-02 1.8e-06 9.83e-01 1.666377012e+02 1.666377669e+02 1.5e-11 8.53
42 2.3e-08 1.1e-02 1.6e-06 9.95e-01 1.666377057e+02 1.666377648e+02 1.4e-11 9.14
43 2.1e-08 1.0e-02 1.4e-06 1.00e+00 1.666377097e+02 1.666377629e+02 1.2e-11 9.57
44 1.9e-08 9.8e-03 1.3e-06 9.49e-01 1.666377133e+02 1.666377613e+02 1.1e-11 9.71
45 1.7e-08 9.6e-03 1.2e-06 9.81e-01 1.666377166e+02 1.666377598e+02 9.9e-12 10.36
46 1.5e-08 9.6e-03 1.0e-06 1.02e+00 1.666377197e+02 1.666377582e+02 9.0e-12 10.70
47 1.4e-08 8.6e-03 9.3e-07 1.08e+00 1.666377233e+02 1.666377564e+02 8.4e-12 10.98
48 1.2e-08 7.8e-03 8.4e-07 1.05e+00 1.666377261e+02 1.666377551e+02 7.8e-12 11.43
49 1.1e-08 7.0e-03 7.5e-07 1.02e+00 1.666377283e+02 1.666377541e+02 7.1e-12 12.12
50 9.9e-09 6.3e-03 6.8e-07 1.01e+00 1.666377301e+02 1.666377532e+02 6.4e-12 12.53
51 8.9e-09 5.7e-03 6.1e-07 9.83e-01 1.666377317e+02 1.666377525e+02 5.8e-12 12.76
52 8.1e-09 5.1e-03 5.5e-07 9.84e-01 1.666377331e+02 1.666377518e+02 5.2e-12 13.72
53 7.3e-09 4.6e-03 5.0e-07 1.10e+00 1.666377350e+02 1.666377509e+02 4.9e-12 14.05
54 6.5e-09 4.1e-03 4.5e-07 9.43e-01 1.666377360e+02 1.666377504e+02 4.4e-12 14.25
55 5.9e-09 3.7e-03 4.0e-07 1.02e+00 1.666377371e+02 1.666377499e+02 4.0e-12 14.30
56 5.3e-09 3.4e-03 3.6e-07 9.42e-01 1.666377380e+02 1.666377495e+02 3.6e-12 14.31
57 4.3e-09 2.0e-04 2.1e-08 8.98e-01 1.666377456e+02 1.666377464e+02 3.7e-13 15.06
Interior-point optimizer terminated. Time: 15.06.
Optimizer terminated. Time: 15.07
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774564e+02 Viol. con: 9e-08 var: 0e+00
Dual. obj: 1.6663774635e+02 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 15.1 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : 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 -1.286106746e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264422989e+05 3.580364616e+00 4.8e-01 0.71
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.203332187e+05 1.010637278e+01 1.9e-01 1.49
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.156664712e+05 6.247817298e+01 1.3e-01 2.29
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.130152807e+05 2.295884562e+03 1.3e-01 2.94
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.379611371e+04 9.860969490e+03 3.2e-02 3.58
6 3.6e+01 4.6e+01 2.0e+03 -1.80e-01 -4.641917833e+04 1.009611804e+04 1.6e-02 4.14
7 2.1e+01 2.7e+01 1.2e+03 2.91e-01 -3.097468248e+04 6.886210594e+03 9.2e-03 4.73
8 1.2e+01 1.6e+01 6.8e+02 5.65e-01 -1.945487750e+04 4.491376131e+03 5.4e-03 4.85
9 4.7e+00 6.1e+00 2.6e+02 7.53e-01 -7.765166271e+03 2.180680716e+03 2.1e-03 5.05
10 2.3e+00 3.0e+00 1.3e+02 9.26e-01 -3.530382002e+03 1.395531328e+03 1.0e-03 5.06
11 1.5e+00 1.9e+00 8.5e+01 9.77e-01 -2.301319918e+03 9.721205413e+02 6.7e-04 5.08
12 8.5e-01 1.1e+00 4.8e+01 9.85e-01 -1.230530405e+03 6.224921380e+02 3.8e-04 5.10
13 7.5e-01 1.0e+00 4.2e+01 9.54e-01 -1.093832312e+03 5.630532523e+02 3.4e-04 5.13
14 3.7e-01 5.0e-01 2.1e+01 9.85e-01 -4.358990895e+02 3.737942017e+02 1.6e-04 5.15
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.440001563e+02 2.585349991e+02 8.2e-05 5.18
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 4.980165576e+00 2.043014556e+02 4.1e-05 5.22
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.398837969e+01 2.065698777e+02 4.0e-05 5.80
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 5.949222909e+01 1.948373489e+02 2.8e-05 6.35
19 3.0e-02 7.3e-02 1.7e+00 1.01e+00 1.152797323e+02 1.809927967e+02 1.4e-05 6.86
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.525612300e+02 1.716192026e+02 4.0e-06 7.31
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622330936e+02 1.679611393e+02 1.2e-06 7.44
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639702689e+02 1.674409701e+02 7.3e-07 7.75
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656550174e+02 1.668671102e+02 2.6e-07 7.86
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661959807e+02 1.666660326e+02 1.0e-07 7.99
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662326093e+02 1.666555345e+02 9.2e-08 8.12
26 1.6e-04 7.9e-02 1.0e-02 1.01e+00 1.662628641e+02 1.666433548e+02 8.3e-08 8.13
27 1.4e-04 7.2e-02 9.0e-03 1.01e+00 1.662902747e+02 1.666326035e+02 7.5e-08 8.15
28 1.3e-04 6.6e-02 8.1e-03 1.01e+00 1.663148184e+02 1.666228208e+02 6.7e-08 8.16
29 1.2e-04 6.0e-02 7.3e-03 1.01e+00 1.663368449e+02 1.666139698e+02 6.0e-08 8.17
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663566064e+02 1.666059555e+02 5.4e-08 8.18
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663743379e+02 1.665987001e+02 4.9e-08 8.19
32 8.5e-05 4.6e-02 5.3e-03 1.01e+00 1.663902485e+02 1.665921322e+02 4.4e-08 8.20
33 7.6e-05 4.2e-02 4.8e-03 1.01e+00 1.664045264e+02 1.665861872e+02 4.0e-08 8.21
34 6.9e-05 3.8e-02 4.3e-03 1.01e+00 1.664173404e+02 1.665808072e+02 3.6e-08 8.22
35 6.2e-05 3.5e-02 3.9e-03 1.01e+00 1.664288417e+02 1.665759392e+02 3.2e-08 8.23
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664391660e+02 1.665715356e+02 2.9e-08 8.24
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664484348e+02 1.665675528e+02 2.6e-08 8.25
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664567568e+02 1.665639513e+02 2.3e-08 8.26
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664642297e+02 1.665606954e+02 2.1e-08 8.27
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664709407e+02 1.665577524e+02 1.9e-08 8.28
41 3.3e-05 2.2e-02 2.1e-03 1.00e+00 1.664769683e+02 1.665550928e+02 1.7e-08 8.29
42 2.9e-05 2.1e-02 1.9e-03 1.00e+00 1.664823824e+02 1.665526899e+02 1.5e-08 8.31
43 2.7e-05 2.0e-02 1.7e-03 1.00e+00 1.664872461e+02 1.665505192e+02 1.4e-08 8.32
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664916157e+02 1.665485586e+02 1.2e-08 8.33
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664955418e+02 1.665467882e+02 1.1e-08 8.34
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664990699e+02 1.665451899e+02 1.0e-08 8.34
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665022405e+02 1.665437472e+02 9.1e-09 8.35
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665050903e+02 1.665424453e+02 8.2e-09 8.36
49 1.4e-05 1.4e-02 8.9e-04 1.00e+00 1.665076519e+02 1.665412707e+02 7.4e-09 8.38
50 1.3e-05 1.3e-02 8.0e-04 1.00e+00 1.665099548e+02 1.665402111e+02 6.6e-09 8.39
51 1.1e-05 1.3e-02 7.2e-04 1.00e+00 1.665120253e+02 1.665392556e+02 6.0e-09 8.40
52 1.0e-05 1.2e-02 6.5e-04 1.00e+00 1.665138871e+02 1.665383941e+02 5.4e-09 8.41
53 9.3e-06 1.2e-02 5.8e-04 1.00e+00 1.665155613e+02 1.665376174e+02 4.8e-09 8.42
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665170670e+02 1.665369174e+02 4.4e-09 8.43
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665184212e+02 1.665362865e+02 3.9e-09 8.44
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665196393e+02 1.665357180e+02 3.5e-09 8.44
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665207349e+02 1.665352058e+02 3.2e-09 8.45
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217205e+02 1.665347443e+02 2.9e-09 8.46
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226070e+02 1.665343285e+02 2.6e-09 8.47
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234045e+02 1.665339539e+02 2.3e-09 8.48
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241218e+02 1.665336163e+02 2.1e-09 8.50
62 3.6e-06 9.5e-03 2.3e-04 1.00e+00 1.665247670e+02 1.665333121e+02 1.9e-09 8.51
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253473e+02 1.665330380e+02 1.7e-09 8.51
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665258693e+02 1.665327909e+02 1.5e-09 8.52
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263388e+02 1.665325683e+02 1.4e-09 8.53
66 2.4e-06 9.0e-03 1.5e-04 1.00e+00 1.665267611e+02 1.665323677e+02 1.2e-09 8.54
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271410e+02 1.665321870e+02 1.1e-09 8.55
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665274828e+02 1.665320242e+02 1.0e-09 8.56
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665277903e+02 1.665318775e+02 9.0e-10 8.57
70 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.665280669e+02 1.665317455e+02 8.1e-10 8.58
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283157e+02 1.665316265e+02 7.3e-10 8.59
72 1.3e-06 8.5e-03 7.9e-05 1.00e+00 1.665285395e+02 1.665315192e+02 6.5e-10 8.60
73 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.665287409e+02 1.665314226e+02 5.9e-10 8.61
74 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.665289220e+02 1.665313356e+02 5.3e-10 8.62
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290850e+02 1.665312571e+02 4.8e-10 8.63
76 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.665292315e+02 1.665311866e+02 4.3e-10 8.65
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293634e+02 1.665311229e+02 3.9e-10 8.68
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294819e+02 1.665310655e+02 3.5e-10 8.69
79 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.665295886e+02 1.665310138e+02 3.1e-10 8.70
80 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.665296845e+02 1.665309671e+02 2.8e-10 8.71
81 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.665297707e+02 1.665309251e+02 2.5e-10 8.73
82 4.4e-07 8.1e-03 2.7e-05 9.98e-01 1.665298482e+02 1.665308872e+02 2.3e-10 8.74
83 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.665299180e+02 1.665308531e+02 2.1e-10 8.75
84 3.5e-07 8.0e-03 2.2e-05 1.00e+00 1.665299807e+02 1.665308223e+02 1.8e-10 8.76
85 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.665300371e+02 1.665307945e+02 1.7e-10 8.77
86 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.665300878e+02 1.665307695e+02 1.5e-10 8.78
87 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.665301334e+02 1.665307469e+02 1.3e-10 8.79
88 2.3e-07 8.0e-03 1.5e-05 1.00e+00 1.665301745e+02 1.665307266e+02 1.2e-10 8.81
89 2.1e-07 7.9e-03 1.3e-05 9.98e-01 1.665302114e+02 1.665307084e+02 1.1e-10 8.82
90 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.665302446e+02 1.665306919e+02 9.8e-11 8.83
91 1.7e-07 7.9e-03 1.1e-05 9.98e-01 1.665302745e+02 1.665306771e+02 8.8e-11 8.84
92 1.5e-07 7.9e-03 9.6e-06 9.99e-01 1.665303014e+02 1.665306637e+02 8.0e-11 8.85
93 1.4e-07 7.8e-03 8.6e-06 9.97e-01 1.665303255e+02 1.665306517e+02 7.2e-11 8.86
94 1.2e-07 7.8e-03 7.7e-06 9.94e-01 1.665303473e+02 1.665306409e+02 6.4e-11 8.87
95 1.1e-07 7.8e-03 7.0e-06 1.00e+00 1.665303669e+02 1.665306311e+02 5.8e-11 8.88
96 1.0e-07 7.8e-03 6.3e-06 9.93e-01 1.665303845e+02 1.665306224e+02 5.2e-11 8.89
97 9.0e-08 7.7e-03 5.6e-06 9.94e-01 1.665304003e+02 1.665306145e+02 4.7e-11 8.90
98 8.1e-08 7.7e-03 5.1e-06 9.99e-01 1.665304146e+02 1.665306074e+02 4.2e-11 8.91
99 7.3e-08 7.7e-03 4.6e-06 9.90e-01 1.665304274e+02 1.665306010e+02 3.8e-11 8.94
100 6.5e-08 6.9e-03 4.1e-06 1.00e+00 1.665304390e+02 1.665305952e+02 3.4e-11 8.95
101 5.9e-08 6.2e-03 3.7e-06 9.87e-01 1.665304494e+02 1.665305900e+02 3.1e-11 8.96
102 5.3e-08 5.6e-03 3.3e-06 1.00e+00 1.665304589e+02 1.665305853e+02 2.8e-11 8.97
103 4.8e-08 5.0e-03 3.0e-06 9.90e-01 1.665304673e+02 1.665305811e+02 2.5e-11 8.98
104 4.3e-08 4.5e-03 2.7e-06 1.02e+00 1.665304755e+02 1.665305769e+02 2.3e-11 8.99
105 3.9e-08 4.1e-03 2.4e-06 1.01e+00 1.665304824e+02 1.665305734e+02 2.1e-11 9.00
106 3.5e-08 3.7e-03 2.2e-06 1.04e+00 1.665304896e+02 1.665305697e+02 1.9e-11 9.02
107 3.1e-08 3.3e-03 2.0e-06 1.01e+00 1.665304951e+02 1.665305669e+02 1.7e-11 9.03
108 2.8e-08 3.0e-03 1.8e-06 9.97e-01 1.665304999e+02 1.665305645e+02 1.5e-11 9.04
109 2.5e-08 2.7e-03 1.6e-06 1.02e+00 1.665305044e+02 1.665305622e+02 1.4e-11 9.05
110 2.3e-08 2.4e-03 1.4e-06 1.03e+00 1.665305087e+02 1.665305600e+02 1.3e-11 9.06
111 2.1e-08 2.2e-03 1.3e-06 1.01e+00 1.665305122e+02 1.665305583e+02 1.1e-11 9.07
112 1.8e-08 2.0e-03 1.2e-06 9.95e-01 1.665305153e+02 1.665305568e+02 1.0e-11 9.08
113 1.7e-08 1.8e-03 1.0e-06 9.94e-01 1.665305181e+02 1.665305554e+02 9.2e-12 9.10
114 1.5e-08 1.6e-03 9.4e-07 1.03e+00 1.665305209e+02 1.665305539e+02 8.4e-12 9.11
115 1.3e-08 1.4e-03 8.5e-07 1.07e+00 1.665305238e+02 1.665305524e+02 7.8e-12 9.12
116 1.2e-08 1.3e-03 7.6e-07 1.07e+00 1.665305263e+02 1.665305511e+02 7.3e-12 9.13
117 1.1e-08 1.2e-03 6.9e-07 1.05e+00 1.665305284e+02 1.665305501e+02 6.7e-12 9.15
118 9.9e-09 1.0e-03 6.2e-07 1.12e+00 1.665305307e+02 1.665305489e+02 6.4e-12 9.16
119 8.9e-09 9.3e-04 5.6e-07 9.00e-01 1.665305319e+02 1.665305483e+02 5.8e-12 9.17
120 8.1e-09 8.4e-04 5.0e-07 1.26e+00 1.665305330e+02 1.665305477e+02 5.2e-12 9.18
121 7.3e-09 7.6e-04 4.5e-07 9.47e-01 1.665305340e+02 1.665305472e+02 4.7e-12 9.19
122 6.6e-09 6.8e-04 4.1e-07 1.01e+00 1.665305350e+02 1.665305468e+02 4.2e-12 9.21
123 6.0e-09 6.1e-04 3.6e-07 1.08e+00 1.665305360e+02 1.665305462e+02 3.9e-12 9.22
124 5.4e-09 5.5e-04 3.3e-07 8.38e-01 1.665305367e+02 1.665305460e+02 3.6e-12 9.23
125 4.9e-09 5.0e-04 3.0e-07 8.36e-01 1.665305373e+02 1.665305457e+02 3.2e-12 9.24
126 4.4e-09 4.5e-04 2.7e-07 8.16e-01 1.665305379e+02 1.665305455e+02 2.9e-12 9.25
127 4.1e-09 4.0e-04 2.4e-07 1.35e+00 1.665305384e+02 1.665305452e+02 2.6e-12 9.26
128 3.7e-09 3.6e-04 2.2e-07 1.00e+00 1.665305389e+02 1.665305449e+02 2.3e-12 9.28
129 7.3e-10 3.8e-05 2.3e-08 1.00e+00 1.665305426e+02 1.665305432e+02 2.4e-13 9.29
Interior-point optimizer terminated. Time: 9.29.
Optimizer terminated. Time: 9.31
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054257e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.6653054320e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 9.32 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 : 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 : 0.02 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 -1.286069770e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264280194e+05 3.575761951e+00 4.8e-01 0.05
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.202642630e+05 1.018055668e+01 1.9e-01 0.06
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.155864708e+05 6.348052006e+01 1.2e-01 0.07
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.129604575e+05 2.275516393e+03 1.2e-01 0.08
5 7.5e+01 9.6e+01 4.2e+03 -7.53e-01 -7.467564323e+04 9.661828851e+03 3.3e-02 0.09
6 3.3e+01 4.2e+01 1.8e+03 -1.93e-01 -4.344557199e+04 1.030574555e+04 1.4e-02 0.10
7 1.9e+01 2.5e+01 1.1e+03 3.43e-01 -2.866890231e+04 6.921959967e+03 8.5e-03 0.12
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.820599027e+04 4.395203114e+03 5.0e-03 0.13
9 4.5e+00 5.8e+00 2.5e+02 7.73e-01 -7.371170143e+03 2.103309568e+03 2.0e-03 0.14
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.214990842e+03 1.325823295e+03 9.3e-04 0.15
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.014770016e+03 8.899284780e+02 6.0e-04 0.16
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.165871502e+03 6.060227303e+02 3.6e-04 0.17
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.120528891e+02 5.060753352e+02 2.9e-04 0.18
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.191574037e+02 3.802509296e+02 1.6e-04 0.19
15 1.8e-01 2.4e-01 1.0e+01 9.93e-01 -1.346790158e+02 2.582564744e+02 8.0e-05 0.20
16 7.9e-02 1.4e-01 4.6e+00 1.01e+00 2.126751875e+01 1.996181281e+02 3.7e-05 0.22
17 6.8e-02 1.2e-01 3.9e+00 1.02e+00 4.474495500e+01 1.978723901e+02 3.2e-05 0.23
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.178039237e+02 1.806433283e+02 1.3e-05 0.24
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.531907186e+02 1.714402761e+02 3.8e-06 0.25
20 2.9e-03 2.3e-01 1.7e-01 1.00e+00 1.613913189e+02 1.680581753e+02 1.4e-06 0.26
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635874530e+02 1.674597065e+02 8.2e-07 0.27
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656228615e+02 1.668056660e+02 2.5e-07 0.28
23 1.9e-04 1.0e-01 1.2e-02 1.01e+00 1.661602489e+02 1.666051028e+02 9.7e-08 0.28
24 8.5e-05 8.7e-02 5.4e-03 1.01e+00 1.663313679e+02 1.665357297e+02 4.5e-08 0.29
25 3.9e-05 7.9e-02 2.5e-03 1.01e+00 1.664099168e+02 1.665032842e+02 2.1e-08 0.30
26 3.5e-05 7.2e-02 2.2e-03 1.01e+00 1.664180546e+02 1.665021098e+02 1.9e-08 0.31
27 3.1e-05 6.6e-02 2.0e-03 1.01e+00 1.664237660e+02 1.664993868e+02 1.7e-08 0.32
28 2.8e-05 6.0e-02 1.8e-03 1.01e+00 1.664290346e+02 1.664970788e+02 1.5e-08 0.33
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664337486e+02 1.664949756e+02 1.4e-08 0.34
30 2.3e-05 5.0e-02 1.5e-03 1.01e+00 1.664379858e+02 1.664930799e+02 1.2e-08 0.35
31 2.1e-05 4.6e-02 1.3e-03 1.00e+00 1.664417917e+02 1.664913680e+02 1.1e-08 0.36
32 1.8e-05 4.2e-02 1.2e-03 1.00e+00 1.664452111e+02 1.664898230e+02 1.0e-08 0.37
33 1.7e-05 3.9e-02 1.1e-03 1.00e+00 1.664482836e+02 1.664884288e+02 9.0e-09 0.38
34 1.5e-05 3.6e-02 9.6e-04 1.00e+00 1.664510446e+02 1.664871708e+02 8.1e-09 0.39
35 1.3e-05 3.3e-02 8.6e-04 1.00e+00 1.664535261e+02 1.664860360e+02 7.3e-09 0.40
36 1.2e-05 3.0e-02 7.8e-04 1.00e+00 1.664557565e+02 1.664850125e+02 6.5e-09 0.41
37 1.1e-05 2.8e-02 7.0e-04 1.00e+00 1.664577614e+02 1.664840895e+02 5.9e-09 0.42
38 9.8e-06 2.6e-02 6.3e-04 1.00e+00 1.664595639e+02 1.664832572e+02 5.3e-09 0.43
39 8.8e-06 2.4e-02 5.7e-04 1.00e+00 1.664611846e+02 1.664825070e+02 4.8e-09 0.44
40 8.0e-06 2.3e-02 5.1e-04 1.00e+00 1.664626418e+02 1.664818308e+02 4.3e-09 0.46
41 7.2e-06 2.1e-02 4.6e-04 1.00e+00 1.664639523e+02 1.664812214e+02 3.9e-09 0.47
42 6.4e-06 2.0e-02 4.1e-04 1.00e+00 1.664651309e+02 1.664806723e+02 3.5e-09 0.48
43 5.8e-06 1.9e-02 3.7e-04 1.00e+00 1.664661909e+02 1.664801776e+02 3.1e-09 0.49
44 5.2e-06 1.7e-02 3.3e-04 1.00e+00 1.664671443e+02 1.664797319e+02 2.8e-09 0.50
45 4.7e-06 1.6e-02 3.0e-04 1.00e+00 1.664680020e+02 1.664793304e+02 2.5e-09 0.51
46 4.2e-06 1.6e-02 2.7e-04 1.00e+00 1.664687735e+02 1.664789687e+02 2.3e-09 0.52
47 3.8e-06 1.5e-02 2.4e-04 1.00e+00 1.664694675e+02 1.664786430e+02 2.1e-09 0.53
48 3.4e-06 1.4e-02 2.2e-04 1.00e+00 1.664700918e+02 1.664783495e+02 1.8e-09 0.55
49 3.1e-06 1.3e-02 2.0e-04 1.00e+00 1.664706534e+02 1.664780852e+02 1.7e-09 0.56
50 2.8e-06 1.3e-02 1.8e-04 1.00e+00 1.664711586e+02 1.664778472e+02 1.5e-09 0.57
51 2.5e-06 1.2e-02 1.6e-04 1.00e+00 1.664716132e+02 1.664776328e+02 1.3e-09 0.57
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664720222e+02 1.664774399e+02 1.2e-09 0.58
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664723902e+02 1.664772661e+02 1.1e-09 0.59
54 1.8e-06 1.1e-02 1.2e-04 1.00e+00 1.664727215e+02 1.664771097e+02 9.8e-10 0.60
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664730195e+02 1.664769689e+02 8.8e-10 0.61
56 1.5e-06 1.0e-02 9.4e-05 1.00e+00 1.664732878e+02 1.664768421e+02 8.0e-10 0.63
57 1.3e-06 1.0e-02 8.5e-05 1.00e+00 1.664735291e+02 1.664767281e+02 7.2e-10 0.64
58 1.2e-06 9.9e-03 7.6e-05 1.00e+00 1.664737464e+02 1.664766254e+02 6.5e-10 0.65
59 1.1e-06 9.6e-03 6.9e-05 1.00e+00 1.664739419e+02 1.664765330e+02 5.8e-10 0.66
60 9.7e-07 9.4e-03 6.2e-05 1.00e+00 1.664741178e+02 1.664764499e+02 5.2e-10 0.66
61 8.7e-07 9.2e-03 5.6e-05 1.00e+00 1.664742761e+02 1.664763749e+02 4.7e-10 0.68
62 7.8e-07 9.1e-03 5.0e-05 1.00e+00 1.664744185e+02 1.664763075e+02 4.2e-10 0.69
63 7.1e-07 8.9e-03 4.5e-05 1.00e+00 1.664745467e+02 1.664762467e+02 3.8e-10 0.70
64 6.3e-07 8.8e-03 4.1e-05 1.00e+00 1.664746620e+02 1.664761920e+02 3.4e-10 0.71
65 5.7e-07 8.7e-03 3.7e-05 1.00e+00 1.664747658e+02 1.664761428e+02 3.1e-10 0.72
66 5.1e-07 8.6e-03 3.3e-05 1.00e+00 1.664748591e+02 1.664760984e+02 2.8e-10 0.74
67 4.6e-07 8.5e-03 3.0e-05 1.00e+00 1.664749431e+02 1.664760584e+02 2.5e-10 0.75
68 4.2e-07 8.4e-03 2.7e-05 1.00e+00 1.664750186e+02 1.664760224e+02 2.3e-10 0.76
69 3.7e-07 8.3e-03 2.4e-05 1.00e+00 1.664750865e+02 1.664759900e+02 2.0e-10 0.77
70 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664751476e+02 1.664759608e+02 1.8e-10 0.78
71 3.0e-07 8.2e-03 1.9e-05 1.00e+00 1.664752026e+02 1.664759344e+02 1.6e-10 0.79
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752521e+02 1.664759107e+02 1.5e-10 0.81
73 2.5e-07 8.1e-03 1.6e-05 1.00e+00 1.664752966e+02 1.664758894e+02 1.3e-10 0.82
74 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664753366e+02 1.664758701e+02 1.2e-10 0.83
75 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664753727e+02 1.664758527e+02 1.1e-10 0.84
76 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.664754051e+02 1.664758371e+02 9.7e-11 0.85
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754343e+02 1.664758231e+02 8.7e-11 0.87
78 1.5e-07 7.8e-03 9.3e-06 1.00e+00 1.664754605e+02 1.664758104e+02 7.8e-11 0.88
79 1.3e-07 7.8e-03 8.4e-06 9.98e-01 1.664754841e+02 1.664757991e+02 7.1e-11 0.89
80 1.2e-07 7.8e-03 7.5e-06 1.00e+00 1.664755054e+02 1.664757888e+02 6.4e-11 0.91
81 1.1e-07 7.8e-03 6.8e-06 1.00e+00 1.664755245e+02 1.664757796e+02 5.7e-11 0.92
82 9.5e-08 7.7e-03 6.1e-06 9.98e-01 1.664755417e+02 1.664757713e+02 5.1e-11 0.93
83 8.6e-08 7.7e-03 5.5e-06 1.00e+00 1.664755572e+02 1.664757638e+02 4.6e-11 0.94
84 7.7e-08 6.9e-03 4.9e-06 1.01e+00 1.664755713e+02 1.664757570e+02 4.2e-11 0.96
85 6.9e-08 6.2e-03 4.4e-06 1.01e+00 1.664755841e+02 1.664757508e+02 3.8e-11 0.97
86 6.2e-08 5.6e-03 4.0e-06 9.99e-01 1.664755953e+02 1.664757454e+02 3.4e-11 0.98
87 5.6e-08 5.1e-03 3.6e-06 1.01e+00 1.664756060e+02 1.664757402e+02 3.1e-11 0.99
88 5.1e-08 4.5e-03 3.2e-06 1.00e+00 1.664756150e+02 1.664757358e+02 2.8e-11 1.01
89 4.6e-08 4.1e-03 2.9e-06 1.01e+00 1.664756234e+02 1.664757317e+02 2.5e-11 1.02
90 4.1e-08 3.7e-03 2.6e-06 1.01e+00 1.664756310e+02 1.664757280e+02 2.3e-11 1.03
91 3.7e-08 3.3e-03 2.4e-06 1.00e+00 1.664756376e+02 1.664757248e+02 2.0e-11 1.05
92 3.3e-08 3.0e-03 2.1e-06 9.93e-01 1.664756435e+02 1.664757220e+02 1.8e-11 1.06
93 3.0e-08 2.7e-03 1.9e-06 1.02e+00 1.664756493e+02 1.664757191e+02 1.7e-11 1.07
94 2.7e-08 2.4e-03 1.7e-06 1.00e+00 1.664756541e+02 1.664757169e+02 1.5e-11 1.08
95 2.4e-08 2.2e-03 1.6e-06 1.01e+00 1.664756585e+02 1.664757147e+02 1.4e-11 1.10
96 2.2e-08 2.0e-03 1.4e-06 1.00e+00 1.664756623e+02 1.664757129e+02 1.2e-11 1.11
97 2.0e-08 1.8e-03 1.3e-06 1.01e+00 1.664756659e+02 1.664757112e+02 1.1e-11 1.12
98 1.8e-08 1.6e-03 1.1e-06 1.01e+00 1.664756691e+02 1.664757096e+02 1.0e-11 1.14
99 1.6e-08 1.4e-03 1.0e-06 9.95e-01 1.664756718e+02 1.664757083e+02 9.0e-12 1.15
100 1.4e-08 1.3e-03 9.2e-07 1.02e+00 1.664756745e+02 1.664757070e+02 8.1e-12 1.16
101 1.3e-08 1.2e-03 8.2e-07 9.83e-01 1.664756767e+02 1.664757060e+02 7.3e-12 1.17
102 1.2e-08 1.0e-03 7.4e-07 9.78e-01 1.664756786e+02 1.664757051e+02 6.6e-12 1.19
103 2.3e-09 1.1e-04 7.6e-08 9.44e-01 1.664756949e+02 1.664756977e+02 8.2e-13 1.20
Interior-point optimizer terminated. Time: 1.20.
Optimizer terminated. Time: 1.21
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569487e+02 Viol. con: 4e-08 var: 0e+00
Dual. obj: 1.6647569766e+02 Viol. con: 0e+00 var: 7e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.22 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 -1.285358137e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263542099e+05 3.574446072e+00 4.8e-01 0.05
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201588600e+05 1.021566271e+01 1.9e-01 0.06
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154718941e+05 6.399946206e+01 1.2e-01 0.08
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.128613791e+05 2.263785766e+03 1.2e-01 0.09
5 7.5e+01 9.7e+01 4.2e+03 -7.52e-01 -7.480727708e+04 9.600158038e+03 3.3e-02 0.10
6 3.0e+01 3.9e+01 1.7e+03 -1.96e-01 -4.068252743e+04 1.026880993e+04 1.3e-02 0.12
7 1.8e+01 2.3e+01 1.0e+03 3.91e-01 -2.712664126e+04 6.680883428e+03 7.9e-03 0.13
8 9.7e+00 1.2e+01 5.4e+02 6.30e-01 -1.569364464e+04 3.889217848e+03 4.3e-03 0.14
9 3.9e+00 5.0e+00 2.2e+02 8.12e-01 -6.429958806e+03 1.893872763e+03 1.7e-03 0.15
10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.286677701e+03 1.204166372e+03 9.2e-04 0.16
11 1.0e+00 1.3e+00 5.9e+01 9.80e-01 -1.544942824e+03 7.355119454e+02 4.7e-04 0.17
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.184099529e+03 6.013201610e+02 3.6e-04 0.18
13 4.8e-01 6.2e-01 2.7e+01 9.74e-01 -6.380922921e+02 4.207585485e+02 2.1e-04 0.19
14 2.6e-01 3.6e-01 1.5e+01 1.00e+00 -2.718725296e+02 3.084901478e+02 1.2e-04 0.20
15 9.7e-02 1.5e-01 5.5e+00 1.00e+00 -1.010247278e+01 2.072401929e+02 4.5e-05 0.21
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.582501242e+01 2.085964239e+02 4.0e-05 0.22
17 5.3e-02 8.8e-02 3.1e+00 1.02e+00 7.253145225e+01 1.918870782e+02 2.5e-05 0.23
18 2.3e-02 6.9e-02 1.3e+00 1.02e+00 1.266682785e+02 1.778059456e+02 1.1e-05 0.24
19 6.2e-03 2.3e-01 3.7e-01 1.01e+00 1.562534780e+02 1.702797456e+02 2.9e-06 0.25
20 3.1e-03 3.1e-01 1.8e-01 1.00e+00 1.610360086e+02 1.681101062e+02 1.5e-06 0.26
21 1.6e-03 1.7e-01 9.8e-02 1.01e+00 1.636143204e+02 1.673814226e+02 8.0e-07 0.27
22 4.9e-04 1.4e-01 3.0e-02 1.01e+00 1.656242495e+02 1.667725404e+02 2.5e-07 0.28
23 3.1e-04 1.1e-01 1.9e-02 9.98e-01 1.659258462e+02 1.666521462e+02 1.6e-07 0.29
24 1.9e-04 7.7e-02 1.2e-02 9.85e-01 1.661267170e+02 1.665737814e+02 9.7e-08 0.30
25 1.7e-04 6.6e-02 1.0e-02 9.99e-01 1.661696363e+02 1.665612823e+02 8.5e-08 0.31
26 1.5e-04 6.0e-02 9.3e-03 1.01e+00 1.661982553e+02 1.665504945e+02 7.7e-08 0.32
27 1.3e-04 5.5e-02 8.4e-03 1.01e+00 1.662230742e+02 1.665399618e+02 6.9e-08 0.34
28 1.2e-04 5.0e-02 7.5e-03 1.01e+00 1.662455511e+02 1.665306820e+02 6.2e-08 0.35
29 1.1e-04 4.6e-02 6.8e-03 1.01e+00 1.662656882e+02 1.665222499e+02 5.6e-08 0.36
30 9.8e-05 4.2e-02 6.1e-03 1.01e+00 1.662837627e+02 1.665146228e+02 5.1e-08 0.38
31 8.8e-05 3.8e-02 5.5e-03 1.01e+00 1.662999817e+02 1.665077190e+02 4.5e-08 0.39
32 7.9e-05 3.5e-02 4.9e-03 1.01e+00 1.663145373e+02 1.665014712e+02 4.1e-08 0.40
33 7.1e-05 3.3e-02 4.4e-03 1.00e+00 1.663276008e+02 1.664958174e+02 3.7e-08 0.41
34 6.4e-05 3.0e-02 4.0e-03 1.00e+00 1.663393260e+02 1.664907018e+02 3.3e-08 0.42
35 5.8e-05 2.8e-02 3.6e-03 1.00e+00 1.663498510e+02 1.664860738e+02 3.0e-08 0.43
36 5.2e-05 2.6e-02 3.2e-03 1.00e+00 1.663592995e+02 1.664818878e+02 2.7e-08 0.44
37 4.7e-05 2.4e-02 2.9e-03 1.00e+00 1.663677827e+02 1.664781024e+02 2.4e-08 0.45
38 4.2e-05 2.2e-02 2.6e-03 1.00e+00 1.663753999e+02 1.664746799e+02 2.2e-08 0.46
39 3.8e-05 2.1e-02 2.4e-03 1.00e+00 1.663822402e+02 1.664715862e+02 2.0e-08 0.48
40 3.4e-05 1.9e-02 2.1e-03 1.00e+00 1.663883836e+02 1.664687901e+02 1.8e-08 0.49
41 3.1e-05 1.8e-02 1.9e-03 1.00e+00 1.663939014e+02 1.664662636e+02 1.6e-08 0.50
42 2.8e-05 1.7e-02 1.7e-03 1.00e+00 1.663988578e+02 1.664639808e+02 1.4e-08 0.51
43 2.5e-05 1.6e-02 1.6e-03 1.00e+00 1.664033103e+02 1.664619187e+02 1.3e-08 0.52
44 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664073103e+02 1.664600561e+02 1.2e-08 0.53
45 2.0e-05 1.5e-02 1.3e-03 1.00e+00 1.664109041e+02 1.664583740e+02 1.0e-08 0.54
46 1.8e-05 1.4e-02 1.1e-03 1.00e+00 1.664141331e+02 1.664568550e+02 9.4e-09 0.55
47 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664170345e+02 1.664554835e+02 8.4e-09 0.56
48 1.5e-05 1.3e-02 9.2e-04 1.00e+00 1.664196418e+02 1.664542453e+02 7.6e-09 0.57
49 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664219849e+02 1.664531277e+02 6.8e-09 0.58
50 1.2e-05 1.2e-02 7.4e-04 1.00e+00 1.664240907e+02 1.664521189e+02 6.2e-09 0.59
51 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.664259835e+02 1.664512086e+02 5.5e-09 0.60
52 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664276847e+02 1.664503873e+02 5.0e-09 0.61
53 8.6e-06 1.1e-02 5.4e-04 1.00e+00 1.664292141e+02 1.664496463e+02 4.5e-09 0.62
54 7.8e-06 1.0e-02 4.9e-04 1.00e+00 1.664305889e+02 1.664489779e+02 4.0e-09 0.63
55 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318249e+02 1.664483750e+02 3.6e-09 0.64
56 6.3e-06 9.9e-03 3.9e-04 1.00e+00 1.664329362e+02 1.664478314e+02 3.3e-09 0.64
57 5.7e-06 9.7e-03 3.5e-04 1.00e+00 1.664339354e+02 1.664473411e+02 2.9e-09 0.65
58 5.1e-06 9.6e-03 3.2e-04 1.00e+00 1.664348339e+02 1.664468991e+02 2.7e-09 0.66
59 4.6e-06 9.4e-03 2.9e-04 1.00e+00 1.664356417e+02 1.664465005e+02 2.4e-09 0.67
60 4.1e-06 9.2e-03 2.6e-04 1.00e+00 1.664363682e+02 1.664461412e+02 2.1e-09 0.68
61 3.7e-06 9.1e-03 2.3e-04 1.00e+00 1.664370215e+02 1.664458172e+02 1.9e-09 0.69
62 3.3e-06 9.0e-03 2.1e-04 1.00e+00 1.664376089e+02 1.664455251e+02 1.7e-09 0.70
63 3.0e-06 8.9e-03 1.9e-04 1.00e+00 1.664381371e+02 1.664452618e+02 1.6e-09 0.71
64 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386122e+02 1.664450244e+02 1.4e-09 0.72
65 2.4e-06 8.7e-03 1.5e-04 1.00e+00 1.664390395e+02 1.664448106e+02 1.3e-09 0.73
66 2.2e-06 8.6e-03 1.4e-04 1.00e+00 1.664394238e+02 1.664446179e+02 1.1e-09 0.74
67 2.0e-06 8.5e-03 1.2e-04 1.00e+00 1.664397696e+02 1.664444443e+02 1.0e-09 0.75
68 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400806e+02 1.664442879e+02 9.3e-10 0.77
69 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403605e+02 1.664441471e+02 8.3e-10 0.78
70 1.4e-06 8.3e-03 9.0e-05 1.00e+00 1.664406122e+02 1.664440202e+02 7.5e-10 0.79
71 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408387e+02 1.664439059e+02 6.7e-10 0.80
72 1.2e-06 8.2e-03 7.3e-05 1.00e+00 1.664410424e+02 1.664438030e+02 6.1e-10 0.81
73 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412258e+02 1.664437103e+02 5.5e-10 0.83
74 9.5e-07 8.1e-03 5.9e-05 1.00e+00 1.664413907e+02 1.664436268e+02 4.9e-10 0.84
75 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415391e+02 1.664435516e+02 4.4e-10 0.85
76 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416725e+02 1.664434838e+02 4.0e-10 0.86
77 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417926e+02 1.664434228e+02 3.6e-10 0.87
78 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419007e+02 1.664433678e+02 3.2e-10 0.88
79 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664419979e+02 1.664433183e+02 2.9e-10 0.89
80 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420853e+02 1.664432736e+02 2.6e-10 0.90
81 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421639e+02 1.664432335e+02 2.4e-10 0.91
82 4.1e-07 7.8e-03 2.5e-05 9.99e-01 1.664422347e+02 1.664431973e+02 2.1e-10 0.93
83 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422983e+02 1.664431647e+02 1.9e-10 0.94
84 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423556e+02 1.664431353e+02 1.7e-10 0.95
85 3.0e-07 7.7e-03 1.9e-05 1.00e+00 1.664424071e+02 1.664431089e+02 1.5e-10 0.96
86 2.7e-07 7.7e-03 1.7e-05 9.99e-01 1.664424535e+02 1.664430851e+02 1.4e-10 0.97
87 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424952e+02 1.664430637e+02 1.3e-10 0.98
88 2.2e-07 7.7e-03 1.4e-05 9.99e-01 1.664425328e+02 1.664430444e+02 1.1e-10 0.99
89 1.9e-07 7.6e-03 1.2e-05 9.99e-01 1.664425666e+02 1.664430271e+02 1.0e-10 1.00
90 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425970e+02 1.664430115e+02 9.1e-11 1.01
91 1.6e-07 7.6e-03 9.9e-06 1.00e+00 1.664426244e+02 1.664429974e+02 8.2e-11 1.02
92 1.4e-07 7.6e-03 8.9e-06 1.00e+00 1.664426490e+02 1.664429847e+02 7.4e-11 1.03
93 1.3e-07 7.6e-03 8.0e-06 1.00e+00 1.664426712e+02 1.664429733e+02 6.6e-11 1.04
94 1.2e-07 7.6e-03 7.2e-06 1.00e+00 1.664426912e+02 1.664429631e+02 6.0e-11 1.05
95 1.0e-07 6.8e-03 6.5e-06 1.00e+00 1.664427092e+02 1.664429538e+02 5.4e-11 1.07
96 9.3e-08 6.1e-03 5.8e-06 1.00e+00 1.664427254e+02 1.664429455e+02 4.8e-11 1.08
97 8.4e-08 5.5e-03 5.2e-06 1.00e+00 1.664427399e+02 1.664429380e+02 4.4e-11 1.09
98 7.5e-08 5.0e-03 4.7e-06 1.01e+00 1.664427533e+02 1.664429311e+02 3.9e-11 1.10
99 6.8e-08 4.5e-03 4.3e-06 1.00e+00 1.664427651e+02 1.664429250e+02 3.5e-11 1.11
100 6.1e-08 4.0e-03 3.8e-06 1.00e+00 1.664427757e+02 1.664429196e+02 3.2e-11 1.12
101 5.5e-08 3.6e-03 3.4e-06 9.95e-01 1.664427852e+02 1.664429148e+02 2.9e-11 1.14
102 5.0e-08 3.3e-03 3.1e-06 9.98e-01 1.664427937e+02 1.664429104e+02 2.6e-11 1.15
103 4.5e-08 2.9e-03 2.8e-06 1.01e+00 1.664428015e+02 1.664429064e+02 2.3e-11 1.16
104 4.0e-08 2.6e-03 2.5e-06 1.03e+00 1.664428094e+02 1.664429022e+02 2.1e-11 1.17
105 3.6e-08 2.4e-03 2.3e-06 1.01e+00 1.664428157e+02 1.664428990e+02 1.9e-11 1.18
106 3.2e-08 2.1e-03 2.0e-06 1.00e+00 1.664428212e+02 1.664428962e+02 1.7e-11 1.19
107 2.9e-08 1.9e-03 1.8e-06 1.02e+00 1.664428266e+02 1.664428934e+02 1.6e-11 1.21
108 2.6e-08 1.7e-03 1.6e-06 1.01e+00 1.664428312e+02 1.664428910e+02 1.4e-11 1.22
109 2.4e-08 1.6e-03 1.5e-06 9.51e-01 1.664428351e+02 1.664428891e+02 1.3e-11 1.22
110 2.1e-08 1.4e-03 1.3e-06 1.01e+00 1.664428388e+02 1.664428872e+02 1.2e-11 1.23
111 1.9e-08 1.3e-03 1.2e-06 9.94e-01 1.664428420e+02 1.664428855e+02 1.0e-11 1.24
112 1.7e-08 1.1e-03 1.1e-06 1.00e+00 1.664428449e+02 1.664428841e+02 9.3e-12 1.26
113 1.6e-08 1.0e-03 9.7e-07 1.06e+00 1.664428482e+02 1.664428823e+02 8.6e-12 1.27
114 1.4e-08 9.2e-04 8.8e-07 1.09e+00 1.664428515e+02 1.664428805e+02 8.1e-12 1.28
115 1.3e-08 8.3e-04 7.9e-07 1.05e+00 1.664428538e+02 1.664428793e+02 7.5e-12 1.29
116 1.2e-08 7.5e-04 7.1e-07 1.05e+00 1.664428559e+02 1.664428782e+02 6.9e-12 1.30
117 1.0e-08 6.7e-04 6.4e-07 9.04e-01 1.664428574e+02 1.664428775e+02 6.2e-12 1.31
118 9.5e-09 6.0e-04 5.7e-07 1.33e+00 1.664428587e+02 1.664428770e+02 5.6e-12 1.32
119 9.2e-09 5.4e-04 5.2e-07 1.34e+00 1.664428600e+02 1.664428762e+02 5.0e-12 1.34
120 1.1e-08 4.9e-04 4.7e-07 1.11e+00 1.664428616e+02 1.664428752e+02 4.8e-12 1.34
121 1.1e-08 4.4e-04 4.2e-07 1.23e+00 1.664428624e+02 1.664428751e+02 4.3e-12 1.35
122 1.0e-08 4.4e-04 3.8e-07 4.82e-01 1.664428631e+02 1.664428750e+02 3.9e-12 1.36
123 9.5e-09 3.9e-04 3.4e-07 6.00e-01 1.664428639e+02 1.664428748e+02 3.5e-12 1.38
124 8.6e-09 3.5e-04 3.1e-07 2.23e+00 1.664428646e+02 1.664428744e+02 3.2e-12 1.39
125 1.5e-08 3.2e-04 2.8e-07 1.11e+00 1.664428655e+02 1.664428737e+02 3.0e-12 1.40
126 1.4e-08 2.9e-04 2.5e-07 1.21e+00 1.664428666e+02 1.664428730e+02 3.0e-12 1.41
127 1.1e-08 2.6e-04 2.2e-07 4.20e-01 1.664428671e+02 1.664428725e+02 2.6e-12 1.42
128 1.1e-08 2.5e-04 2.2e-07 1.16e+00 1.664428672e+02 1.664428724e+02 2.6e-12 1.43
129 1.1e-08 2.3e-04 2.0e-07 8.13e-01 1.664428676e+02 1.664428723e+02 2.4e-12 1.44
130 1.1e-08 2.0e-04 1.8e-07 1.02e+00 1.664428679e+02 1.664428723e+02 2.2e-12 1.45
131 1.0e-08 1.8e-04 1.6e-07 5.69e-01 1.664428682e+02 1.664428721e+02 1.9e-12 1.46
132 1.7e-08 1.7e-04 1.9e-07 1.00e+00 1.664428674e+02 1.664428720e+02 1.7e-12 1.47
133 1.5e-08 1.5e-04 1.7e-07 7.99e-01 1.664428678e+02 1.664428718e+02 1.6e-12 1.48
134 1.4e-08 1.3e-04 1.5e-07 5.72e-01 1.664428681e+02 1.664428718e+02 1.4e-12 1.49
135 1.5e-08 1.2e-04 1.4e-07 1.15e+00 1.664428686e+02 1.664428716e+02 1.4e-12 1.50
136 1.2e-08 1.1e-04 1.2e-07 5.80e-01 1.664428688e+02 1.664428714e+02 1.2e-12 1.51
137 9.2e-09 1.0e-04 1.1e-07 1.67e-01 1.664428690e+02 1.664428714e+02 1.1e-12 1.52
138 8.8e-09 9.2e-05 9.9e-08 3.04e-01 1.664428691e+02 1.664428714e+02 9.9e-13 1.53
Interior-point optimizer terminated. Time: 1.53.
Optimizer terminated. Time: 1.54
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286913e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6644287142e+02 Viol. con: 0e+00 var: 5e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.56 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : 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 -1.285340943e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263517277e+05 3.573620910e+00 4.8e-01 0.58
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201360026e+05 1.023273126e+01 1.8e-01 0.79
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154380583e+05 6.426651831e+01 1.2e-01 0.82
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.128348622e+05 2.258319136e+03 1.2e-01 0.84
5 7.5e+01 9.6e+01 4.1e+03 -7.52e-01 -7.471894722e+04 9.598233030e+03 3.3e-02 0.86
6 3.0e+01 3.9e+01 1.7e+03 -1.95e-01 -4.050844464e+04 1.020870677e+04 1.3e-02 0.88
7 1.8e+01 2.3e+01 1.0e+03 3.94e-01 -2.711070130e+04 6.648763877e+03 7.9e-03 0.91
8 9.5e+00 1.2e+01 5.3e+02 6.30e-01 -1.542138225e+04 3.834872764e+03 4.2e-03 0.97
9 3.6e+00 4.7e+00 2.0e+02 8.16e-01 -5.933738519e+03 1.798175368e+03 1.6e-03 1.19
10 2.0e+00 2.6e+00 1.1e+02 9.47e-01 -3.130713351e+03 1.194463833e+03 8.9e-04 1.25
11 8.4e-01 1.1e+00 4.7e+01 9.81e-01 -1.229433157e+03 6.158769283e+02 3.8e-04 1.32
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.213196506e+03 5.912541277e+02 3.7e-04 1.81
13 5.1e-01 6.6e-01 2.9e+01 9.72e-01 -7.067532202e+02 4.266805376e+02 2.3e-04 2.43
14 3.1e-01 4.2e-01 1.8e+01 1.00e+00 -3.527452662e+02 3.411023228e+02 1.4e-04 3.37
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.763194884e+01 2.143701395e+02 5.0e-05 3.96
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.135832627e+01 2.045404746e+02 3.8e-05 4.75
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.501359571e+01 1.868889124e+02 1.9e-05 5.20
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425013915e+02 1.741745964e+02 6.6e-06 5.98
19 6.2e-03 7.2e-02 3.6e-01 1.01e+00 1.557119466e+02 1.695766834e+02 2.9e-06 6.87
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638758257e+02 1.673863540e+02 7.4e-07 7.84
21 8.0e-04 1.1e-01 4.9e-02 9.78e-01 1.650619131e+02 1.669374153e+02 4.0e-07 8.39
22 2.4e-04 1.1e-01 1.6e-02 9.90e-01 1.660030991e+02 1.665978687e+02 1.3e-07 9.21
23 1.1e-04 8.9e-02 7.5e-03 1.01e+00 1.662212597e+02 1.665057684e+02 6.3e-08 10.26
24 4.7e-05 8.5e-02 3.1e-03 1.01e+00 1.663394243e+02 1.664571337e+02 2.6e-08 10.95
25 2.2e-05 7.7e-02 1.5e-03 1.01e+00 1.663835784e+02 1.664385515e+02 1.2e-08 11.54
26 2.0e-05 7.1e-02 1.3e-03 1.00e+00 1.663881967e+02 1.664377016e+02 1.1e-08 11.65
27 1.8e-05 6.4e-02 1.2e-03 1.01e+00 1.663915593e+02 1.664361007e+02 1.0e-08 11.72
28 1.6e-05 5.9e-02 1.1e-03 1.00e+00 1.663946468e+02 1.664347272e+02 9.0e-09 12.00
29 1.4e-05 5.4e-02 9.6e-04 1.00e+00 1.663974098e+02 1.664334760e+02 8.1e-09 13.00
30 1.3e-05 4.9e-02 8.6e-04 1.00e+00 1.663998945e+02 1.664323490e+02 7.3e-09 13.89
31 1.2e-05 4.5e-02 7.7e-04 1.00e+00 1.664021270e+02 1.664313321e+02 6.5e-09 14.78
32 1.0e-05 4.1e-02 7.0e-04 1.00e+00 1.664041335e+02 1.664304147e+02 5.9e-09 15.57
33 9.4e-06 3.8e-02 6.3e-04 1.00e+00 1.664059369e+02 1.664295873e+02 5.3e-09 16.26
34 8.5e-06 3.5e-02 5.6e-04 1.00e+00 1.664075579e+02 1.664288411e+02 4.8e-09 16.40
35 7.7e-06 3.2e-02 5.1e-04 1.00e+00 1.664090151e+02 1.664281682e+02 4.3e-09 16.54
36 6.9e-06 3.0e-02 4.6e-04 1.00e+00 1.664103252e+02 1.664275615e+02 3.9e-09 17.54
37 6.2e-06 2.8e-02 4.1e-04 1.00e+00 1.664115030e+02 1.664270145e+02 3.5e-09 18.01
38 5.6e-06 2.6e-02 3.7e-04 1.00e+00 1.664125620e+02 1.664265215e+02 3.1e-09 18.42
39 5.0e-06 2.4e-02 3.3e-04 1.00e+00 1.664135142e+02 1.664260771e+02 2.8e-09 19.24
40 4.5e-06 2.2e-02 3.0e-04 1.00e+00 1.664143705e+02 1.664256765e+02 2.5e-09 20.04
41 4.1e-06 2.1e-02 2.7e-04 1.00e+00 1.664151405e+02 1.664253154e+02 2.3e-09 20.77
42 3.7e-06 2.0e-02 2.4e-04 1.00e+00 1.664158329e+02 1.664249900e+02 2.1e-09 20.91
43 3.3e-06 1.8e-02 2.2e-04 1.00e+00 1.664164556e+02 1.664246967e+02 1.8e-09 20.92
44 3.0e-06 1.7e-02 2.0e-04 1.00e+00 1.664170156e+02 1.664244323e+02 1.7e-09 20.94
45 2.7e-06 1.6e-02 1.8e-04 1.00e+00 1.664175192e+02 1.664241941e+02 1.5e-09 20.95
46 2.4e-06 1.5e-02 1.6e-04 1.00e+00 1.664179722e+02 1.664239794e+02 1.3e-09 20.96
47 2.2e-06 1.5e-02 1.4e-04 1.00e+00 1.664183797e+02 1.664237861e+02 1.2e-09 20.98
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664187462e+02 1.664236120e+02 1.1e-09 21.09
49 1.8e-06 1.3e-02 1.2e-04 1.00e+00 1.664190760e+02 1.664234551e+02 9.8e-10 21.30
50 1.6e-06 1.3e-02 1.0e-04 1.00e+00 1.664193727e+02 1.664233139e+02 8.8e-10 21.32
51 1.4e-06 1.2e-02 9.4e-05 1.00e+00 1.664196396e+02 1.664231867e+02 8.0e-10 21.33
52 1.3e-06 1.2e-02 8.5e-05 1.00e+00 1.664198798e+02 1.664230721e+02 7.2e-10 21.34
53 1.1e-06 1.1e-02 7.6e-05 1.00e+00 1.664200959e+02 1.664229689e+02 6.4e-10 21.63
54 1.0e-06 1.1e-02 6.9e-05 1.00e+00 1.664202903e+02 1.664228760e+02 5.8e-10 21.81
55 9.3e-07 1.1e-02 6.2e-05 1.00e+00 1.664204652e+02 1.664227923e+02 5.2e-10 21.96
56 8.4e-07 1.0e-02 5.6e-05 1.00e+00 1.664206225e+02 1.664227169e+02 4.7e-10 22.14
57 7.5e-07 1.0e-02 5.0e-05 1.00e+00 1.664207641e+02 1.664226491e+02 4.2e-10 22.26
58 6.8e-07 9.9e-03 4.5e-05 1.00e+00 1.664208915e+02 1.664225879e+02 3.8e-10 22.42
59 6.1e-07 9.7e-03 4.1e-05 1.00e+00 1.664210060e+02 1.664225329e+02 3.4e-10 22.58
60 5.5e-07 9.5e-03 3.6e-05 1.00e+00 1.664211091e+02 1.664224832e+02 3.1e-10 22.64
61 4.9e-07 9.3e-03 3.3e-05 1.00e+00 1.664212019e+02 1.664224384e+02 2.8e-10 22.65
62 4.4e-07 9.1e-03 3.0e-05 1.00e+00 1.664212853e+02 1.664223982e+02 2.5e-10 22.66
63 4.0e-07 9.0e-03 2.7e-05 9.99e-01 1.664213603e+02 1.664223619e+02 2.2e-10 22.67
64 3.6e-07 8.8e-03 2.4e-05 9.99e-01 1.664214278e+02 1.664223293e+02 2.0e-10 22.68
65 3.2e-07 8.7e-03 2.2e-05 1.00e+00 1.664214885e+02 1.664222998e+02 1.8e-10 22.70
66 2.9e-07 8.6e-03 1.9e-05 1.00e+00 1.664215431e+02 1.664222733e+02 1.6e-10 22.71
67 2.6e-07 8.5e-03 1.7e-05 1.00e+00 1.664215923e+02 1.664222494e+02 1.5e-10 22.72
68 2.4e-07 8.4e-03 1.6e-05 1.00e+00 1.664216365e+02 1.664222279e+02 1.3e-10 22.73
69 2.1e-07 8.3e-03 1.4e-05 9.99e-01 1.664216763e+02 1.664222086e+02 1.2e-10 22.74
70 1.9e-07 8.3e-03 1.3e-05 9.96e-01 1.664217120e+02 1.664221912e+02 1.1e-10 22.75
71 1.7e-07 8.2e-03 1.1e-05 9.95e-01 1.664217442e+02 1.664221756e+02 9.7e-11 22.76
72 1.6e-07 8.1e-03 1.0e-05 1.00e+00 1.664217732e+02 1.664221614e+02 8.7e-11 22.77
73 1.4e-07 8.1e-03 9.3e-06 1.00e+00 1.664217994e+02 1.664221486e+02 7.8e-11 22.78
74 1.3e-07 8.0e-03 8.3e-06 1.00e+00 1.664218228e+02 1.664221372e+02 7.1e-11 22.79
75 1.1e-07 8.0e-03 7.5e-06 9.98e-01 1.664218440e+02 1.664221269e+02 6.3e-11 22.80
76 1.0e-07 7.9e-03 6.8e-06 1.00e+00 1.664218630e+02 1.664221176e+02 5.7e-11 22.82
77 9.2e-08 7.9e-03 6.1e-06 1.00e+00 1.664218801e+02 1.664221092e+02 5.1e-11 22.83
78 8.2e-08 7.1e-03 5.5e-06 1.01e+00 1.664218958e+02 1.664221015e+02 4.6e-11 22.84
79 7.4e-08 6.4e-03 4.9e-06 1.00e+00 1.664219097e+02 1.664220948e+02 4.2e-11 22.85
80 6.7e-08 5.8e-03 4.4e-06 1.01e+00 1.664219223e+02 1.664220886e+02 3.8e-11 22.86
81 6.0e-08 5.2e-03 4.0e-06 1.00e+00 1.664219334e+02 1.664220831e+02 3.4e-11 22.87
82 5.4e-08 4.7e-03 3.6e-06 1.00e+00 1.664219435e+02 1.664220782e+02 3.0e-11 22.88
83 4.9e-08 4.2e-03 3.2e-06 9.92e-01 1.664219526e+02 1.664220738e+02 2.7e-11 22.89
84 4.4e-08 3.8e-03 2.9e-06 9.90e-01 1.664219607e+02 1.664220699e+02 2.5e-11 22.89
85 3.9e-08 3.4e-03 2.6e-06 9.84e-01 1.664219680e+02 1.664220664e+02 2.2e-11 22.90
86 3.5e-08 3.1e-03 2.4e-06 1.01e+00 1.664219749e+02 1.664220630e+02 2.0e-11 22.91
87 3.2e-08 2.8e-03 2.1e-06 1.03e+00 1.664219816e+02 1.664220596e+02 1.8e-11 22.92
88 2.9e-08 2.5e-03 1.9e-06 1.01e+00 1.664219870e+02 1.664220570e+02 1.7e-11 22.93
89 2.6e-08 2.2e-03 1.7e-06 9.96e-01 1.664219917e+02 1.664220547e+02 1.5e-11 22.95
90 2.3e-08 2.0e-03 1.5e-06 9.93e-01 1.664219959e+02 1.664220527e+02 1.3e-11 22.96
91 2.1e-08 1.8e-03 1.4e-06 9.94e-01 1.664219997e+02 1.664220508e+02 1.2e-11 22.97
92 1.9e-08 1.6e-03 1.3e-06 1.00e+00 1.664220032e+02 1.664220491e+02 1.1e-11 22.98
93 1.7e-08 1.5e-03 1.1e-06 1.02e+00 1.664220066e+02 1.664220474e+02 9.9e-12 22.99
94 1.5e-08 1.3e-03 1.0e-06 9.98e-01 1.664220093e+02 1.664220461e+02 8.9e-12 23.00
95 1.4e-08 1.2e-03 9.1e-07 1.01e+00 1.664220119e+02 1.664220448e+02 8.0e-12 23.01
96 1.2e-08 1.1e-03 8.2e-07 9.64e-01 1.664220141e+02 1.664220438e+02 7.2e-12 23.02
97 1.1e-08 9.6e-04 7.4e-07 9.61e-01 1.664220161e+02 1.664220428e+02 6.5e-12 23.03
98 1.0e-08 8.6e-04 6.7e-07 1.06e+00 1.664220184e+02 1.664220417e+02 6.0e-12 23.04
99 9.1e-09 7.8e-04 6.0e-07 1.04e+00 1.664220202e+02 1.664220407e+02 5.5e-12 23.05
100 8.2e-09 7.0e-04 5.4e-07 9.95e-01 1.664220216e+02 1.664220401e+02 5.0e-12 23.06
101 7.4e-09 6.3e-04 4.9e-07 9.84e-01 1.664220228e+02 1.664220395e+02 4.5e-12 23.08
102 6.7e-09 5.7e-04 4.4e-07 9.67e-01 1.664220240e+02 1.664220390e+02 4.0e-12 23.09
103 4.6e-09 3.7e-05 2.9e-08 8.17e-01 1.664220339e+02 1.664220350e+02 5.6e-13 23.10
Interior-point optimizer terminated. Time: 23.10.
Optimizer terminated. Time: 23.11
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203388e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6642203496e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 23.1 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : 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 -1.285332522e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263506614e+05 3.573406169e+00 4.8e-01 0.05
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201229690e+05 1.024108689e+01 1.8e-01 0.06
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154146811e+05 6.438957931e+01 1.2e-01 0.07
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.128142014e+05 2.256492501e+03 1.2e-01 0.08
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.452145875e+04 9.623312890e+03 3.3e-02 0.09
6 3.0e+01 3.8e+01 1.7e+03 -1.92e-01 -4.039636572e+04 1.017306385e+04 1.3e-02 0.10
7 1.8e+01 2.3e+01 1.0e+03 3.96e-01 -2.710389676e+04 6.644098816e+03 7.9e-03 0.10
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.529786715e+04 3.811653918e+03 4.1e-03 0.11
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.370907218e+03 1.685466198e+03 1.5e-03 0.12
10 1.6e+00 2.1e+00 9.1e+01 9.54e-01 -2.488214664e+03 1.068032732e+03 7.3e-04 0.13
11 9.3e-01 1.2e+00 5.2e+01 9.86e-01 -1.337488820e+03 6.866386797e+02 4.1e-04 0.14
12 8.5e-01 1.1e+00 4.8e+01 9.60e-01 -1.253916384e+03 6.354787218e+02 3.8e-04 0.15
13 4.7e-01 6.1e-01 2.7e+01 9.77e-01 -6.373533488e+02 4.197119661e+02 2.1e-04 0.16
14 2.5e-01 3.3e-01 1.4e+01 1.00e+00 -2.541375436e+02 3.021187623e+02 1.1e-04 0.17
15 9.3e-02 1.5e-01 5.3e+00 1.00e+00 -3.967157651e+00 2.060668824e+02 4.3e-05 0.18
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.475194492e+01 2.084816064e+02 4.0e-05 0.19
17 6.0e-02 9.6e-02 3.4e+00 1.02e+00 6.117871243e+01 1.950767143e+02 2.8e-05 0.20
18 3.3e-02 7.2e-02 1.9e+00 1.02e+00 1.091862925e+02 1.824024734e+02 1.5e-05 0.21
19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.513705212e+02 1.718413668e+02 4.3e-06 0.22
20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602181713e+02 1.683900326e+02 1.7e-06 0.23
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642700037e+02 1.671903170e+02 6.2e-07 0.24
22 8.6e-04 1.0e-01 5.2e-02 9.84e-01 1.649681485e+02 1.669444056e+02 4.3e-07 0.25
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659690875e+02 1.665864874e+02 1.3e-07 0.26
24 9.4e-05 1.0e-01 6.1e-03 1.01e+00 1.662459015e+02 1.664756913e+02 5.1e-08 0.27
25 3.7e-05 9.5e-02 2.4e-03 1.01e+00 1.663440792e+02 1.664350966e+02 2.0e-08 0.29
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663785041e+02 1.664206581e+02 9.5e-09 0.30
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663820222e+02 1.664199768e+02 8.5e-09 0.31
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663846090e+02 1.664187608e+02 7.7e-09 0.32
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663869809e+02 1.664177120e+02 6.9e-09 0.33
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663891055e+02 1.664167591e+02 6.2e-09 0.34
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663910161e+02 1.664159008e+02 5.6e-09 0.35
32 9.1e-06 4.7e-02 5.9e-04 1.00e+00 1.663927334e+02 1.664151266e+02 5.0e-09 0.36
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663942773e+02 1.664144287e+02 4.5e-09 0.37
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663956652e+02 1.664137996e+02 4.1e-09 0.38
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969131e+02 1.664132325e+02 3.7e-09 0.39
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663980352e+02 1.664127213e+02 3.3e-09 0.41
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663990442e+02 1.664122607e+02 3.0e-09 0.42
38 4.8e-06 2.9e-02 3.2e-04 1.00e+00 1.663999516e+02 1.664118456e+02 2.7e-09 0.43
39 4.3e-06 2.6e-02 2.8e-04 1.00e+00 1.664007675e+02 1.664114714e+02 2.4e-09 0.44
40 3.9e-06 2.5e-02 2.6e-04 1.00e+00 1.664015014e+02 1.664111343e+02 2.2e-09 0.45
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664021613e+02 1.664108305e+02 2.0e-09 0.46
42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027547e+02 1.664105566e+02 1.8e-09 0.47
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664032885e+02 1.664103099e+02 1.6e-09 0.48
44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037686e+02 1.664100877e+02 1.4e-09 0.49
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042004e+02 1.664098875e+02 1.3e-09 0.50
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045889e+02 1.664097071e+02 1.2e-09 0.51
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049384e+02 1.664095447e+02 1.0e-09 0.53
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052529e+02 1.664093984e+02 9.4e-10 0.54
49 1.5e-06 1.4e-02 9.9e-05 1.00e+00 1.664055358e+02 1.664092668e+02 8.4e-10 0.55
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664057903e+02 1.664091482e+02 7.6e-10 0.56
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060194e+02 1.664090413e+02 6.8e-10 0.57
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062254e+02 1.664089451e+02 6.1e-10 0.59
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064108e+02 1.664088585e+02 5.5e-10 0.60
54 8.9e-07 1.2e-02 5.9e-05 1.00e+00 1.664065776e+02 1.664087805e+02 5.0e-10 0.61
55 8.0e-07 1.1e-02 5.3e-05 1.00e+00 1.664067277e+02 1.664087102e+02 4.5e-10 0.62
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068627e+02 1.664086470e+02 4.0e-10 0.63
57 6.5e-07 1.0e-02 4.3e-05 1.00e+00 1.664069841e+02 1.664085900e+02 3.6e-10 0.64
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664070934e+02 1.664085387e+02 3.3e-10 0.65
59 5.3e-07 9.9e-03 3.5e-05 1.00e+00 1.664071917e+02 1.664084924e+02 2.9e-10 0.67
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072801e+02 1.664084507e+02 2.6e-10 0.68
61 4.3e-07 9.5e-03 2.8e-05 9.99e-01 1.664073596e+02 1.664084132e+02 2.4e-10 0.69
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074311e+02 1.664083793e+02 2.1e-10 0.71
63 3.5e-07 9.1e-03 2.3e-05 1.00e+00 1.664074955e+02 1.664083489e+02 1.9e-10 0.72
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075534e+02 1.664083214e+02 1.7e-10 0.73
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076055e+02 1.664082967e+02 1.6e-10 0.74
66 2.5e-07 8.7e-03 1.7e-05 1.00e+00 1.664076523e+02 1.664082744e+02 1.4e-10 0.75
67 2.3e-07 8.6e-03 1.5e-05 1.00e+00 1.664076945e+02 1.664082543e+02 1.3e-10 0.76
68 2.0e-07 8.5e-03 1.3e-05 9.98e-01 1.664077324e+02 1.664082363e+02 1.1e-10 0.77
69 1.8e-07 8.4e-03 1.2e-05 9.99e-01 1.664077665e+02 1.664082201e+02 1.0e-10 0.78
70 1.7e-07 8.3e-03 1.1e-05 1.00e+00 1.664077973e+02 1.664082054e+02 9.2e-11 0.80
71 1.5e-07 8.2e-03 9.8e-06 1.00e+00 1.664078249e+02 1.664081923e+02 8.3e-11 0.81
72 1.3e-07 8.2e-03 8.8e-06 1.01e+00 1.664078500e+02 1.664081802e+02 7.5e-11 0.82
73 1.2e-07 8.1e-03 7.9e-06 1.00e+00 1.664078723e+02 1.664081696e+02 6.7e-11 0.83
74 1.1e-07 8.0e-03 7.1e-06 9.98e-01 1.664078925e+02 1.664081600e+02 6.1e-11 0.84
75 9.8e-08 8.0e-03 6.4e-06 9.99e-01 1.664079106e+02 1.664081514e+02 5.4e-11 0.85
76 8.8e-08 7.9e-03 5.8e-06 9.97e-01 1.664079269e+02 1.664081436e+02 4.9e-11 0.87
77 7.9e-08 7.9e-03 5.2e-06 1.00e+00 1.664079416e+02 1.664081366e+02 4.4e-11 0.88
78 7.1e-08 7.1e-03 4.7e-06 1.01e+00 1.664079553e+02 1.664081299e+02 4.0e-11 0.89
79 6.4e-08 6.4e-03 4.2e-06 1.01e+00 1.664079673e+02 1.664081242e+02 3.6e-11 0.90
80 5.8e-08 5.8e-03 3.8e-06 9.99e-01 1.664079779e+02 1.664081191e+02 3.2e-11 0.91
81 5.2e-08 5.2e-03 3.4e-06 9.98e-01 1.664079875e+02 1.664081146e+02 2.9e-11 0.92
82 4.7e-08 4.7e-03 3.1e-06 9.91e-01 1.664079961e+02 1.664081105e+02 2.6e-11 0.94
83 4.2e-08 4.2e-03 2.8e-06 1.01e+00 1.664080041e+02 1.664081066e+02 2.4e-11 0.95
84 3.8e-08 3.8e-03 2.5e-06 1.04e+00 1.664080121e+02 1.664081027e+02 2.2e-11 0.96
85 3.4e-08 3.4e-03 2.2e-06 9.89e-01 1.664080182e+02 1.664080998e+02 2.0e-11 0.97
86 3.1e-08 3.1e-03 2.0e-06 9.98e-01 1.664080238e+02 1.664080972e+02 1.8e-11 0.98
87 2.8e-08 2.8e-03 1.8e-06 9.85e-01 1.664080287e+02 1.664080948e+02 1.6e-11 0.99
88 2.5e-08 2.5e-03 1.6e-06 1.02e+00 1.664080335e+02 1.664080925e+02 1.4e-11 1.00
89 2.2e-08 2.2e-03 1.5e-06 9.88e-01 1.664080375e+02 1.664080906e+02 1.3e-11 1.01
90 2.0e-08 2.0e-03 1.3e-06 1.02e+00 1.664080414e+02 1.664080887e+02 1.2e-11 1.02
91 1.8e-08 1.8e-03 1.2e-06 1.03e+00 1.664080451e+02 1.664080869e+02 1.1e-11 1.03
92 1.6e-08 1.6e-03 1.1e-06 9.72e-01 1.664080479e+02 1.664080856e+02 9.6e-12 1.04
93 1.5e-08 1.5e-03 9.6e-07 9.91e-01 1.664080505e+02 1.664080844e+02 8.7e-12 1.05
94 1.3e-08 1.3e-03 8.7e-07 9.95e-01 1.664080528e+02 1.664080833e+02 7.8e-12 1.06
95 1.2e-08 1.2e-03 7.8e-07 9.55e-01 1.664080548e+02 1.664080824e+02 7.0e-12 1.07
96 1.1e-08 1.1e-03 7.0e-07 1.03e+00 1.664080569e+02 1.664080813e+02 6.4e-12 1.08
97 9.6e-09 9.6e-04 6.3e-07 9.54e-01 1.664080586e+02 1.664080806e+02 5.8e-12 1.09
98 8.7e-09 8.7e-04 5.7e-07 9.67e-01 1.664080600e+02 1.664080799e+02 5.2e-12 1.10
99 7.9e-09 7.8e-04 5.1e-07 1.03e+00 1.664080616e+02 1.664080791e+02 4.7e-12 1.11
100 7.4e-09 7.0e-04 4.6e-07 1.13e+00 1.664080635e+02 1.664080781e+02 4.6e-12 1.11
101 6.7e-09 6.3e-04 4.1e-07 8.80e-01 1.664080645e+02 1.664080777e+02 4.1e-12 1.12
102 6.1e-09 5.7e-04 3.7e-07 9.56e-01 1.664080654e+02 1.664080773e+02 3.7e-12 1.13
103 5.6e-09 5.1e-04 3.4e-07 1.30e+00 1.664080662e+02 1.664080768e+02 3.3e-12 1.15
104 5.4e-09 4.6e-04 3.0e-07 1.13e+00 1.664080673e+02 1.664080762e+02 3.2e-12 1.16
105 4.9e-09 4.1e-04 2.7e-07 1.38e+00 1.664080680e+02 1.664080759e+02 2.9e-12 1.17
106 4.5e-09 3.7e-04 2.4e-07 9.99e-01 1.664080685e+02 1.664080756e+02 2.6e-12 1.18
107 4.0e-09 3.4e-04 2.2e-07 9.71e-01 1.664080690e+02 1.664080754e+02 2.3e-12 1.19
108 3.5e-09 3.0e-04 2.0e-07 8.67e-01 1.664080694e+02 1.664080753e+02 2.1e-12 1.20
109 3.2e-09 2.7e-04 1.8e-07 9.89e-01 1.664080698e+02 1.664080751e+02 1.9e-12 1.21
110 3.0e-09 2.4e-04 1.6e-07 8.61e-01 1.664080702e+02 1.664080749e+02 1.7e-12 1.22
111 2.6e-09 2.2e-04 1.4e-07 8.62e-01 1.664080705e+02 1.664080748e+02 1.5e-12 1.23
112 2.5e-09 2.0e-04 1.3e-07 9.22e-01 1.664080708e+02 1.664080747e+02 1.4e-12 1.24
113 2.2e-09 1.8e-04 1.2e-07 1.30e+00 1.664080711e+02 1.664080745e+02 1.2e-12 1.25
114 2.0e-09 1.6e-04 1.1e-07 1.35e+00 1.664080713e+02 1.664080744e+02 1.1e-12 1.26
115 2.0e-09 1.6e-04 1.1e-07 2.00e+00 1.664080713e+02 1.664080744e+02 1.1e-12 1.28
116 1.7e-09 1.4e-04 9.5e-08 1.22e+00 1.664080715e+02 1.664080743e+02 9.9e-13 1.29
Interior-point optimizer terminated. Time: 1.29.
Optimizer terminated. Time: 1.30
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807154e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6640807426e+02 Viol. con: 0e+00 var: 8e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.31 seconds.
Solving took 9 GP solves and 66.1 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: 1.4957409393269066e+110 vs 1.49570151488e+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: 3.705383625791826e+72 vs 3.70524027811e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.946823]
Total Aircraft Weight Percent Diff: [-21.4805611]
Engine Weight Percent Diff: -56.27817945370428
Fuselage Weight Percent Diff: -0.8697141228675186
Payload Weight Percent Diff: [-0.04003556]
VT Weight Percent Diff: -8.607574837390839
HT Weight Percent Diff: -93.23322464541843
Wing Weight Percent Diff: 8.267397457735282
WING DIFFERENCES
Wing Span Percent Diff: -0.029996169181364534
Wing Area Percent Diff: 32.90030665570932
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.48968416768882
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022324021104188
VT Area Percent Diff: -60.38682102223237
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54738573]
L/D Percent Diff: [24.0101999]
Nacelle Cd Percent Diff: [-94.2764143]
HT Cd Percent Diff: [-80.76934044] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00309473] dimensionless
Wing Cd percent Diff: [-14.22937225]
Induced Drag Cd Percent Diff: [1.21934438]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57036104]
FUSELAGE DIFFERENCES
Weight of HB material: -38.359521753898406
Weight of VB material: 87.82628475267869
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260522]
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 : 0.03 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 -1.280976207e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.3e+04 -9.71e-01 -1.260360597e+05 3.611424052e+00 4.9e-01 0.05
2 4.1e+02 5.3e+02 2.3e+04 -9.38e-01 -1.195206719e+05 1.063331153e+01 1.8e-01 0.07
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.151942168e+05 6.795829655e+01 1.3e-01 0.08
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127212826e+05 2.109723808e+03 1.3e-01 0.09
5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.071413615e+04 8.411072422e+03 3.9e-02 0.10
6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.787028059e+04 1.016025756e+04 1.6e-02 0.11
7 2.1e+01 2.8e+01 1.2e+03 2.52e-01 -3.173778936e+04 7.155034269e+03 9.5e-03 0.12
8 9.4e+00 1.2e+01 5.3e+02 5.36e-01 -1.511150083e+04 4.167123567e+03 4.2e-03 0.14
9 5.5e+00 7.1e+00 3.1e+02 8.14e-01 -8.836155418e+03 2.832992813e+03 2.5e-03 0.15
10 1.3e+00 1.7e+00 7.6e+01 9.07e-01 -2.021517100e+03 9.278094940e+02 6.1e-04 0.16
11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.292899266e+02 7.204982019e+02 3.2e-04 0.17
12 4.7e-01 6.1e-01 2.7e+01 9.97e-01 -4.810408396e+02 5.632816117e+02 2.1e-04 0.18
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.119899248e+02 4.857188935e+02 1.6e-04 0.19
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.727746611e+01 3.656933383e+02 7.9e-05 0.21
15 5.5e-02 1.5e-01 3.2e+00 9.94e-01 1.624902967e+02 2.901499707e+02 2.7e-05 0.22
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.999027139e+02 2.746125040e+02 1.6e-05 0.23
17 5.1e-03 1.8e-01 3.2e-01 1.00e+00 2.445305033e+02 2.572371524e+02 2.8e-06 0.24
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509424510e+02 2.546897023e+02 8.3e-07 0.26
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527845502e+02 2.540210950e+02 2.8e-07 0.27
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532880856e+02 2.538352203e+02 1.2e-07 0.28
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533292209e+02 2.538216573e+02 1.1e-07 0.29
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533650962e+02 2.538082643e+02 1.0e-07 0.30
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533974267e+02 2.537962616e+02 9.0e-08 0.31
24 1.4e-04 5.9e-02 9.2e-03 1.00e+00 2.534264980e+02 2.537854354e+02 8.1e-08 0.32
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534526435e+02 2.537756756e+02 7.3e-08 0.33
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534761571e+02 2.537668763e+02 6.5e-08 0.34
27 1.0e-04 4.5e-02 6.7e-03 1.00e+00 2.534973060e+02 2.537589453e+02 5.9e-08 0.34
28 9.0e-05 4.1e-02 6.1e-03 1.00e+00 2.535163290e+02 2.537517977e+02 5.3e-08 0.35
29 8.1e-05 3.8e-02 5.4e-03 1.00e+00 2.535334405e+02 2.537453571e+02 4.8e-08 0.36
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535488334e+02 2.537395540e+02 4.3e-08 0.38
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535626808e+02 2.537343259e+02 3.9e-08 0.39
32 5.9e-05 3.0e-02 4.0e-03 1.00e+00 2.535751383e+02 2.537296160e+02 3.5e-08 0.40
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535863455e+02 2.537253733e+02 3.1e-08 0.41
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535964283e+02 2.537215515e+02 2.8e-08 0.42
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536054996e+02 2.537181092e+02 2.5e-08 0.43
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536136611e+02 2.537150086e+02 2.3e-08 0.44
37 3.5e-05 2.0e-02 2.3e-03 1.00e+00 2.536210042e+02 2.537122161e+02 2.1e-08 0.45
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276109e+02 2.537097011e+02 1.9e-08 0.46
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536335554e+02 2.537074360e+02 1.7e-08 0.47
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389040e+02 2.537053962e+02 1.5e-08 0.48
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536437166e+02 2.537035594e+02 1.3e-08 0.50
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536480470e+02 2.537019053e+02 1.2e-08 0.51
43 1.9e-05 1.4e-02 1.2e-03 1.00e+00 2.536519435e+02 2.537004158e+02 1.1e-08 0.52
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554497e+02 2.536990747e+02 9.8e-09 0.53
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586047e+02 2.536978672e+02 8.9e-09 0.54
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614438e+02 2.536967800e+02 8.0e-09 0.55
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536639986e+02 2.536958012e+02 7.2e-09 0.56
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536662977e+02 2.536949200e+02 6.5e-09 0.57
49 9.9e-06 1.1e-02 6.6e-04 1.00e+00 2.536683666e+02 2.536941267e+02 5.8e-09 0.58
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536702284e+02 2.536934125e+02 5.2e-09 0.59
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536719038e+02 2.536927696e+02 4.7e-09 0.60
52 7.2e-06 1.0e-02 4.8e-04 1.00e+00 2.536734117e+02 2.536921909e+02 4.2e-09 0.61
53 6.5e-06 9.9e-03 4.3e-04 1.00e+00 2.536747686e+02 2.536916699e+02 3.8e-09 0.63
54 5.8e-06 9.6e-03 3.9e-04 1.00e+00 2.536759897e+02 2.536912009e+02 3.4e-09 0.64
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770886e+02 2.536907787e+02 3.1e-09 0.65
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780776e+02 2.536903987e+02 2.8e-09 0.66
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789676e+02 2.536900567e+02 2.5e-09 0.66
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797686e+02 2.536897487e+02 2.3e-09 0.67
59 3.4e-06 8.7e-03 2.3e-04 1.00e+00 2.536804894e+02 2.536894716e+02 2.0e-09 0.68
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811381e+02 2.536892221e+02 1.8e-09 0.70
61 1.2e-06 3.3e-03 8.1e-05 1.00e+00 2.536846983e+02 2.536878513e+02 7.1e-10 0.71
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849266e+02 2.536877643e+02 6.4e-10 0.72
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862390e+02 2.536872586e+02 2.3e-10 0.73
64 3.5e-07 9.7e-04 2.4e-05 1.00e+00 2.536863126e+02 2.536872303e+02 2.1e-10 0.74
65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863788e+02 2.536872047e+02 1.9e-10 0.75
66 2.8e-07 7.9e-04 1.9e-05 1.00e+00 2.536864384e+02 2.536871817e+02 1.7e-10 0.76
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864921e+02 2.536871611e+02 1.5e-10 0.77
68 2.3e-07 6.4e-04 1.5e-05 1.00e+00 2.536865403e+02 2.536871424e+02 1.4e-10 0.78
69 2.1e-07 5.7e-04 1.4e-05 1.00e+00 2.536865838e+02 2.536871257e+02 1.2e-10 0.79
70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866229e+02 2.536871106e+02 1.1e-10 0.80
71 1.7e-07 4.7e-04 1.1e-05 9.99e-01 2.536866581e+02 2.536870970e+02 9.9e-11 0.81
72 1.5e-07 4.2e-04 1.0e-05 9.99e-01 2.536866897e+02 2.536870848e+02 8.9e-11 0.82
73 1.4e-07 3.8e-04 9.1e-06 9.99e-01 2.536867182e+02 2.536870738e+02 8.0e-11 0.83
74 1.2e-07 3.4e-04 8.2e-06 1.00e+00 2.536867439e+02 2.536870639e+02 7.2e-11 0.84
75 1.1e-07 3.1e-04 7.4e-06 1.00e+00 2.536867670e+02 2.536870550e+02 6.5e-11 0.85
76 9.9e-08 2.7e-04 6.7e-06 1.00e+00 2.536867877e+02 2.536870469e+02 5.8e-11 0.87
77 8.9e-08 2.5e-04 6.0e-06 1.00e+00 2.536868064e+02 2.536870397e+02 5.3e-11 0.88
78 8.0e-08 2.2e-04 5.4e-06 1.00e+00 2.536868233e+02 2.536870332e+02 4.7e-11 0.89
79 7.2e-08 2.0e-04 4.9e-06 1.00e+00 2.536868384e+02 2.536870273e+02 4.3e-11 0.90
80 6.5e-08 1.8e-04 4.4e-06 1.00e+00 2.536868521e+02 2.536870220e+02 3.8e-11 0.91
81 5.9e-08 1.6e-04 3.9e-06 1.00e+00 2.536868644e+02 2.536870173e+02 3.5e-11 0.92
82 5.3e-08 1.5e-04 3.5e-06 1.00e+00 2.536868754e+02 2.536870130e+02 3.1e-11 0.94
83 4.8e-08 1.3e-04 3.2e-06 9.98e-01 2.536868853e+02 2.536870092e+02 2.8e-11 0.95
84 4.3e-08 1.2e-04 2.9e-06 1.00e+00 2.536868944e+02 2.536870057e+02 2.5e-11 0.96
85 3.8e-08 1.1e-04 2.6e-06 9.98e-01 2.536869024e+02 2.536870026e+02 2.3e-11 0.97
86 3.5e-08 9.6e-05 2.3e-06 9.93e-01 2.536869096e+02 2.536869998e+02 2.0e-11 0.98
87 3.1e-08 8.6e-05 2.1e-06 1.00e+00 2.536869161e+02 2.536869973e+02 1.8e-11 1.00
88 2.8e-08 7.8e-05 1.9e-06 9.97e-01 2.536869220e+02 2.536869950e+02 1.7e-11 1.01
89 2.5e-08 7.0e-05 1.7e-06 9.90e-01 2.536869272e+02 2.536869930e+02 1.5e-11 1.02
90 2.3e-08 6.3e-05 1.5e-06 9.97e-01 2.536869320e+02 2.536869912e+02 1.3e-11 1.03
91 2.0e-08 5.7e-05 1.4e-06 1.01e+00 2.536869364e+02 2.536869895e+02 1.2e-11 1.04
92 1.8e-08 5.1e-05 1.2e-06 9.96e-01 2.536869402e+02 2.536869880e+02 1.1e-11 1.05
93 1.7e-08 4.6e-05 1.1e-06 9.98e-01 2.536869437e+02 2.536869867e+02 9.8e-12 1.06
94 1.5e-08 4.1e-05 1.0e-06 1.01e+00 2.536869469e+02 2.536869854e+02 8.9e-12 1.06
95 1.3e-08 3.7e-05 9.0e-07 1.00e+00 2.536869497e+02 2.536869843e+02 8.0e-12 1.07
96 1.2e-08 3.3e-05 8.1e-07 9.76e-01 2.536869522e+02 2.536869834e+02 7.2e-12 1.08
97 1.1e-08 3.0e-05 7.3e-07 9.90e-01 2.536869544e+02 2.536869825e+02 6.5e-12 1.09
98 9.8e-09 2.7e-05 6.6e-07 1.01e+00 2.536869566e+02 2.536869817e+02 5.9e-12 1.10
Interior-point optimizer terminated. Time: 1.10.
Optimizer terminated. Time: 1.11
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695656e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698167e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.13 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 0.05
2 4.6e+02 5.9e+02 2.6e+04 -9.35e-01 -1.205918795e+05 9.868922463e+00 2.0e-01 0.06
3 2.9e+02 3.7e+02 1.6e+04 -8.50e-01 -1.154239527e+05 5.250197662e+01 1.3e-01 0.07
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.133019475e+05 1.862130071e+03 1.3e-01 0.08
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.812142135e+04 9.031239868e+03 3.6e-02 0.09
6 3.6e+01 4.6e+01 2.0e+03 -2.53e-01 -4.675648524e+04 1.010078027e+04 1.6e-02 0.10
7 1.9e+01 2.4e+01 1.0e+03 2.76e-01 -2.801894114e+04 6.402312558e+03 8.2e-03 0.11
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.471216449e+04 4.005088020e+03 4.0e-03 0.13
9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.206577531e+03 2.776623648e+03 2.5e-03 0.14
10 1.9e+00 2.4e+00 1.1e+02 9.02e-01 -2.967188224e+03 1.150548908e+03 8.4e-04 0.15
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.411824743e+03 1.013250410e+03 7.0e-04 0.16
12 1.0e+00 1.4e+00 5.6e+01 9.78e-01 -1.467425519e+03 7.220755036e+02 4.4e-04 0.17
13 4.6e-01 6.8e-01 2.6e+01 9.83e-01 -5.896881545e+02 4.319681042e+02 2.1e-04 0.18
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.320840487e+02 3.288887907e+02 1.1e-04 0.19
15 1.0e-01 1.6e-01 5.7e+00 1.00e+00 1.044653606e+01 2.360029475e+02 4.6e-05 0.20
16 4.7e-02 1.0e-01 2.7e+00 1.00e+00 9.574906649e+01 2.020284104e+02 2.2e-05 0.22
17 1.0e-02 1.4e-01 6.2e-01 1.01e+00 1.548431157e+02 1.790677309e+02 5.2e-06 0.23
18 6.3e-03 1.0e-01 3.9e-01 1.01e+00 1.614292034e+02 1.765011127e+02 3.2e-06 0.24
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.695627754e+02 1.734405843e+02 8.5e-07 0.25
20 3.4e-04 1.4e-01 2.2e-02 1.01e+00 1.717721239e+02 1.726293361e+02 1.9e-07 0.26
21 1.4e-04 1.0e-01 9.5e-03 9.94e-01 1.721372136e+02 1.725037900e+02 8.3e-08 0.27
22 8.9e-05 8.2e-02 6.0e-03 1.00e+00 1.722347055e+02 1.724653291e+02 5.2e-08 0.28
23 8.0e-05 7.6e-02 5.4e-03 1.00e+00 1.722527903e+02 1.724604212e+02 4.7e-08 0.29
24 7.2e-05 6.9e-02 4.8e-03 1.00e+00 1.722680411e+02 1.724549097e+02 4.2e-08 0.30
25 6.5e-05 6.3e-02 4.3e-03 1.00e+00 1.722818158e+02 1.724499966e+02 3.8e-08 0.31
26 5.9e-05 5.7e-02 3.9e-03 1.00e+00 1.722941842e+02 1.724455455e+02 3.4e-08 0.32
27 5.3e-05 5.2e-02 3.5e-03 1.00e+00 1.723053032e+02 1.724415268e+02 3.1e-08 0.33
28 4.7e-05 4.8e-02 3.2e-03 1.00e+00 1.723152953e+02 1.724378950e+02 2.8e-08 0.34
29 4.3e-05 4.4e-02 2.8e-03 1.00e+00 1.723242746e+02 1.724346129e+02 2.5e-08 0.35
30 3.8e-05 4.0e-02 2.6e-03 1.00e+00 1.723323436e+02 1.724316468e+02 2.2e-08 0.36
31 3.5e-05 3.7e-02 2.3e-03 1.00e+00 1.723395949e+02 1.724289667e+02 2.0e-08 0.37
32 3.1e-05 3.4e-02 2.1e-03 1.00e+00 1.723461118e+02 1.724265456e+02 1.8e-08 0.38
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723519694e+02 1.724243591e+02 1.6e-08 0.39
34 2.5e-05 2.9e-02 1.7e-03 1.00e+00 1.723572350e+02 1.724223851e+02 1.5e-08 0.40
35 2.3e-05 2.7e-02 1.5e-03 1.00e+00 1.723619689e+02 1.724206036e+02 1.3e-08 0.41
36 2.0e-05 2.5e-02 1.4e-03 1.00e+00 1.723662252e+02 1.724189961e+02 1.2e-08 0.43
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723700525e+02 1.724175460e+02 1.1e-08 0.44
38 1.7e-05 2.2e-02 1.1e-03 1.00e+00 1.723734942e+02 1.724162381e+02 9.7e-09 0.45
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723765893e+02 1.724150587e+02 8.7e-09 0.46
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723793730e+02 1.724139954e+02 7.8e-09 0.47
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723818766e+02 1.724130367e+02 7.1e-09 0.49
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723841285e+02 1.724121726e+02 6.4e-09 0.50
43 9.8e-06 1.6e-02 6.5e-04 1.00e+00 1.723861540e+02 1.724113938e+02 5.7e-09 0.51
44 8.8e-06 1.5e-02 5.9e-04 1.00e+00 1.723879761e+02 1.724106918e+02 5.1e-09 0.52
45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723896151e+02 1.724100593e+02 4.6e-09 0.54
46 7.1e-06 1.4e-02 4.8e-04 1.00e+00 1.723910895e+02 1.724094894e+02 4.2e-09 0.55
47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723924159e+02 1.724089759e+02 3.8e-09 0.56
48 5.8e-06 1.3e-02 3.9e-04 1.00e+00 1.723936093e+02 1.724085132e+02 3.4e-09 0.57
49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723946828e+02 1.724080964e+02 3.0e-09 0.58
50 4.7e-06 1.2e-02 3.1e-04 1.00e+00 1.723956487e+02 1.724077210e+02 2.7e-09 0.60
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965177e+02 1.724073829e+02 2.5e-09 0.61
52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723972996e+02 1.724070783e+02 2.2e-09 0.62
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980031e+02 1.724068040e+02 2.0e-09 0.63
54 3.1e-06 1.0e-02 2.0e-04 1.00e+00 1.723986361e+02 1.724065569e+02 1.8e-09 0.64
55 2.8e-06 1.0e-02 1.8e-04 1.00e+00 1.723992057e+02 1.724063344e+02 1.6e-09 0.65
56 2.5e-06 9.7e-03 1.7e-04 1.00e+00 1.723997182e+02 1.724061341e+02 1.5e-09 0.67
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001793e+02 1.724059536e+02 1.3e-09 0.68
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724005942e+02 1.724057912e+02 1.2e-09 0.69
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009676e+02 1.724056449e+02 1.1e-09 0.70
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013036e+02 1.724055132e+02 9.5e-10 0.71
61 1.5e-06 8.8e-03 9.8e-05 1.00e+00 1.724016059e+02 1.724053946e+02 8.6e-10 0.73
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018780e+02 1.724052878e+02 7.7e-10 0.73
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021228e+02 1.724051916e+02 7.0e-10 0.74
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023431e+02 1.724051050e+02 6.3e-10 0.76
65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025413e+02 1.724050271e+02 5.6e-10 0.77
66 8.7e-07 8.3e-03 5.8e-05 1.00e+00 1.724027197e+02 1.724049569e+02 5.1e-10 0.78
67 7.8e-07 8.2e-03 5.2e-05 1.00e+00 1.724028802e+02 1.724048937e+02 4.6e-10 0.79
68 7.0e-07 8.1e-03 4.7e-05 1.00e+00 1.724030246e+02 1.724048368e+02 4.1e-10 0.80
69 6.3e-07 8.0e-03 4.2e-05 1.00e+00 1.724031546e+02 1.724047856e+02 3.7e-10 0.82
70 5.7e-07 8.0e-03 3.8e-05 1.00e+00 1.724032716e+02 1.724047394e+02 3.3e-10 0.83
71 5.1e-07 7.9e-03 3.4e-05 1.00e+00 1.724033768e+02 1.724046979e+02 3.0e-10 0.84
72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034716e+02 1.724046605e+02 2.7e-10 0.85
73 4.1e-07 7.8e-03 2.8e-05 1.00e+00 1.724035568e+02 1.724046269e+02 2.4e-10 0.86
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036335e+02 1.724045966e+02 2.2e-10 0.88
75 3.4e-07 7.7e-03 2.2e-05 1.00e+00 1.724037025e+02 1.724045693e+02 2.0e-10 0.89
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037646e+02 1.724045447e+02 1.8e-10 0.90
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038205e+02 1.724045226e+02 1.6e-10 0.91
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038708e+02 1.724045027e+02 1.4e-10 0.92
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039161e+02 1.724044848e+02 1.3e-10 0.94
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039568e+02 1.724044687e+02 1.2e-10 0.95
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039935e+02 1.724044541e+02 1.0e-10 0.96
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040265e+02 1.724044411e+02 9.4e-11 0.97
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040562e+02 1.724044293e+02 8.5e-11 0.98
84 1.3e-07 7.5e-03 8.7e-06 1.00e+00 1.724040829e+02 1.724044187e+02 7.6e-11 1.00
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041069e+02 1.724044092e+02 6.9e-11 1.01
86 1.1e-07 7.4e-03 7.0e-06 1.00e+00 1.724041285e+02 1.724044006e+02 6.2e-11 1.02
87 9.5e-08 7.4e-03 6.3e-06 1.00e+00 1.724041480e+02 1.724043928e+02 5.6e-11 1.03
88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041655e+02 1.724043859e+02 5.0e-11 1.04
89 7.7e-08 7.4e-03 5.1e-06 1.00e+00 1.724041813e+02 1.724043796e+02 4.5e-11 1.05
90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041955e+02 1.724043739e+02 4.0e-11 1.06
91 6.2e-08 7.4e-03 4.2e-06 1.00e+00 1.724042082e+02 1.724043689e+02 3.6e-11 1.07
92 5.6e-08 7.3e-03 3.7e-06 1.00e+00 1.724042197e+02 1.724043643e+02 3.3e-11 1.08
93 5.0e-08 7.3e-03 3.4e-06 9.98e-01 1.724042301e+02 1.724043602e+02 3.0e-11 1.09
94 4.5e-08 7.3e-03 3.0e-06 1.00e+00 1.724042394e+02 1.724043565e+02 2.7e-11 1.10
95 4.1e-08 7.3e-03 2.7e-06 9.98e-01 1.724042478e+02 1.724043532e+02 2.4e-11 1.11
96 3.7e-08 7.3e-03 2.5e-06 9.98e-01 1.724042553e+02 1.724043502e+02 2.2e-11 1.13
97 3.3e-08 7.3e-03 2.2e-06 1.00e+00 1.724042621e+02 1.724043475e+02 1.9e-11 1.14
98 3.0e-08 7.3e-03 2.0e-06 1.00e+00 1.724042682e+02 1.724043450e+02 1.7e-11 1.15
99 2.7e-08 7.3e-03 1.8e-06 1.00e+00 1.724042737e+02 1.724043428e+02 1.6e-11 1.16
100 2.4e-08 7.3e-03 1.6e-06 1.00e+00 1.724042786e+02 1.724043408e+02 1.4e-11 1.17
101 2.2e-08 6.5e-03 1.4e-06 1.00e+00 1.724042831e+02 1.724043390e+02 1.3e-11 1.18
102 2.0e-08 5.9e-03 1.3e-06 1.00e+00 1.724042871e+02 1.724043375e+02 1.1e-11 1.19
103 1.8e-08 5.3e-03 1.2e-06 1.00e+00 1.724042907e+02 1.724043360e+02 1.0e-11 1.20
104 1.6e-08 4.8e-03 1.1e-06 1.00e+00 1.724042940e+02 1.724043347e+02 9.3e-12 1.21
105 4.0e-09 1.2e-03 2.7e-07 1.01e+00 1.724043157e+02 1.724043259e+02 2.3e-12 1.22
106 3.6e-09 1.1e-03 2.4e-07 9.95e-01 1.724043165e+02 1.724043256e+02 2.1e-12 1.23
107 8.8e-10 2.4e-04 5.3e-08 1.01e+00 1.724043216e+02 1.724043236e+02 4.6e-13 1.24
Interior-point optimizer terminated. Time: 1.24.
Optimizer terminated. Time: 1.25
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432157e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432361e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.27 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 -1.284360420e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.262635411e+05 3.636950438e+00 4.8e-01 0.06
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203755999e+05 1.002096589e+01 1.9e-01 0.07
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.156270293e+05 5.939414454e+01 1.3e-01 0.08
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131819786e+05 2.127639393e+03 1.3e-01 0.09
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.750684225e+04 9.253680156e+03 3.6e-02 0.10
6 4.0e+01 5.2e+01 2.2e+03 -2.39e-01 -5.068254849e+04 1.003928705e+04 1.8e-02 0.11
7 3.0e+01 3.9e+01 1.7e+03 2.16e-01 -4.166619107e+04 8.309958578e+03 1.3e-02 0.13
8 1.9e+01 2.4e+01 1.0e+03 3.78e-01 -2.878109056e+04 5.414643947e+03 8.2e-03 0.14
9 8.0e+00 1.0e+01 4.4e+02 5.99e-01 -1.315966529e+04 3.160786871e+03 3.5e-03 0.14
10 4.0e+00 5.1e+00 2.2e+02 8.45e-01 -6.347189942e+03 2.138382572e+03 1.8e-03 0.15
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.502128211e+03 1.318841527e+03 9.9e-04 0.16
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.332366665e+03 6.477131546e+02 4.1e-04 0.17
13 8.3e-01 1.1e+00 4.6e+01 9.70e-01 -1.217516368e+03 6.005383798e+02 3.7e-04 0.18
14 5.9e-01 7.7e-01 3.3e+01 9.74e-01 -8.114699958e+02 4.901687881e+02 2.6e-04 0.19
15 2.1e-01 7.5e-01 1.2e+01 9.90e-01 -1.973505940e+02 2.838923658e+02 9.8e-05 0.20
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.194809218e+01 2.162406130e+02 4.9e-05 0.21
17 7.7e-02 2.8e-01 4.4e+00 1.01e+00 2.773552467e+01 2.014212771e+02 3.6e-05 0.23
18 5.2e-02 2.0e-01 3.0e+00 1.02e+00 7.871293268e+01 1.952117968e+02 2.4e-05 0.24
19 1.5e-02 1.1e-01 8.7e-01 1.00e+00 1.409225022e+02 1.747335426e+02 7.0e-06 0.25
20 4.0e-03 2.2e-01 2.5e-01 1.02e+00 1.602100437e+02 1.696953079e+02 2.0e-06 0.26
21 2.7e-03 2.2e-01 1.7e-01 1.01e+00 1.623237604e+02 1.687770929e+02 1.3e-06 0.27
22 2.0e-03 1.6e-01 1.2e-01 1.00e+00 1.636802114e+02 1.683152487e+02 9.7e-07 0.28
23 7.7e-04 9.6e-02 4.8e-02 1.01e+00 1.657770305e+02 1.676106477e+02 3.9e-07 0.30
24 3.6e-04 8.1e-02 2.3e-02 1.01e+00 1.664801435e+02 1.673455432e+02 1.8e-07 0.31
25 1.5e-04 8.1e-02 9.7e-03 1.01e+00 1.668359722e+02 1.672047014e+02 7.9e-08 0.32
26 1.4e-04 7.4e-02 8.7e-03 1.01e+00 1.668663917e+02 1.671983759e+02 7.1e-08 0.33
27 1.2e-04 6.7e-02 7.8e-03 1.01e+00 1.668896164e+02 1.671882826e+02 6.4e-08 0.34
28 1.1e-04 6.2e-02 7.0e-03 1.01e+00 1.669108009e+02 1.671795202e+02 5.8e-08 0.36
29 1.0e-04 5.6e-02 6.3e-03 1.01e+00 1.669296990e+02 1.671714771e+02 5.2e-08 0.37
30 9.0e-05 5.1e-02 5.7e-03 1.01e+00 1.669466521e+02 1.671641961e+02 4.7e-08 0.38
31 8.1e-05 4.7e-02 5.1e-03 1.01e+00 1.669618558e+02 1.671575993e+02 4.2e-08 0.39
32 7.3e-05 4.3e-02 4.6e-03 1.01e+00 1.669754967e+02 1.671516281e+02 3.8e-08 0.40
33 6.5e-05 4.0e-02 4.2e-03 1.01e+00 1.669877375e+02 1.671462250e+02 3.4e-08 0.42
34 5.9e-05 3.6e-02 3.7e-03 1.01e+00 1.669987237e+02 1.671413374e+02 3.1e-08 0.43
35 5.3e-05 3.4e-02 3.4e-03 1.00e+00 1.670085853e+02 1.671369175e+02 2.8e-08 0.44
36 4.8e-05 3.1e-02 3.0e-03 1.00e+00 1.670174388e+02 1.671329214e+02 2.5e-08 0.45
37 4.3e-05 2.9e-02 2.7e-03 1.00e+00 1.670253882e+02 1.671293094e+02 2.2e-08 0.46
38 3.9e-05 2.7e-02 2.5e-03 1.00e+00 1.670325267e+02 1.671260452e+02 2.0e-08 0.48
39 3.5e-05 2.5e-02 2.2e-03 1.00e+00 1.670389379e+02 1.671230960e+02 1.8e-08 0.49
40 3.1e-05 2.3e-02 2.0e-03 1.00e+00 1.670446966e+02 1.671204320e+02 1.6e-08 0.50
41 2.8e-05 2.2e-02 1.8e-03 1.00e+00 1.670498696e+02 1.671180261e+02 1.5e-08 0.51
42 2.5e-05 2.0e-02 1.6e-03 1.00e+00 1.670545171e+02 1.671158536e+02 1.3e-08 0.52
43 2.3e-05 1.9e-02 1.5e-03 1.00e+00 1.670586929e+02 1.671138923e+02 1.2e-08 0.53
44 2.1e-05 1.8e-02 1.3e-03 1.00e+00 1.670624452e+02 1.671121219e+02 1.1e-08 0.54
45 1.8e-05 1.7e-02 1.2e-03 1.00e+00 1.670658173e+02 1.671105241e+02 9.6e-09 0.55
46 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.670688479e+02 1.671090823e+02 8.7e-09 0.56
47 1.5e-05 1.5e-02 9.5e-04 1.00e+00 1.670715720e+02 1.671077815e+02 7.8e-09 0.57
48 1.3e-05 1.4e-02 8.6e-04 1.00e+00 1.670740206e+02 1.671066082e+02 7.0e-09 0.58
49 1.2e-05 1.4e-02 7.7e-04 1.00e+00 1.670762218e+02 1.671055498e+02 6.3e-09 0.60
50 1.1e-05 1.3e-02 6.9e-04 1.00e+00 1.670782008e+02 1.671045954e+02 5.7e-09 0.61
51 9.8e-06 1.3e-02 6.2e-04 1.00e+00 1.670799802e+02 1.671037348e+02 5.1e-09 0.62
52 8.8e-06 1.2e-02 5.6e-04 1.00e+00 1.670815801e+02 1.671029588e+02 4.6e-09 0.63
53 8.0e-06 1.2e-02 5.1e-04 1.00e+00 1.670830188e+02 1.671022593e+02 4.2e-09 0.64
54 7.2e-06 1.1e-02 4.6e-04 1.00e+00 1.670843126e+02 1.671016289e+02 3.7e-09 0.66
55 6.4e-06 1.1e-02 4.1e-04 1.00e+00 1.670854762e+02 1.671010607e+02 3.4e-09 0.67
56 5.8e-06 1.1e-02 3.7e-04 1.00e+00 1.670865228e+02 1.671005486e+02 3.0e-09 0.68
57 5.2e-06 1.0e-02 3.3e-04 1.00e+00 1.670874641e+02 1.671000872e+02 2.7e-09 0.69
58 1.6e-06 3.3e-03 1.1e-04 1.00e+00 1.670932317e+02 1.670972293e+02 8.6e-10 0.70
59 1.5e-06 3.0e-03 9.5e-05 1.00e+00 1.670935006e+02 1.670970986e+02 7.8e-10 0.71
60 1.3e-06 2.7e-03 8.5e-05 1.00e+00 1.670937444e+02 1.670969827e+02 7.0e-10 0.73
61 5.3e-07 1.1e-03 3.4e-05 1.00e+00 1.670950402e+02 1.670963306e+02 2.8e-10 0.74
62 4.8e-07 9.6e-04 3.1e-05 1.00e+00 1.670951287e+02 1.670962899e+02 2.5e-10 0.75
63 4.3e-07 8.6e-04 2.8e-05 1.00e+00 1.670952059e+02 1.670962509e+02 2.3e-10 0.76
64 3.9e-07 7.7e-04 2.5e-05 1.00e+00 1.670952754e+02 1.670962159e+02 2.0e-10 0.78
65 3.5e-07 7.0e-04 2.2e-05 1.00e+00 1.670953378e+02 1.670961843e+02 1.8e-10 0.79
66 3.1e-07 6.3e-04 2.0e-05 1.00e+00 1.670953940e+02 1.670961558e+02 1.6e-10 0.80
67 2.8e-07 5.6e-04 1.8e-05 1.00e+00 1.670954446e+02 1.670961301e+02 1.5e-10 0.81
68 2.5e-07 5.1e-04 1.6e-05 1.00e+00 1.670954901e+02 1.670961070e+02 1.3e-10 0.82
69 2.3e-07 4.6e-04 1.5e-05 9.96e-01 1.670955310e+02 1.670960863e+02 1.2e-10 0.83
70 2.1e-07 4.1e-04 1.3e-05 1.00e+00 1.670955678e+02 1.670960676e+02 1.1e-10 0.85
71 1.8e-07 3.7e-04 1.2e-05 1.00e+00 1.670956009e+02 1.670960507e+02 9.7e-11 0.86
72 1.7e-07 3.3e-04 1.1e-05 9.96e-01 1.670956307e+02 1.670960356e+02 8.7e-11 0.87
73 1.5e-07 3.0e-04 9.6e-06 1.00e+00 1.670956575e+02 1.670960219e+02 7.9e-11 0.88
74 1.3e-07 2.7e-04 8.6e-06 1.00e+00 1.670956818e+02 1.670960095e+02 7.1e-11 0.89
75 1.2e-07 2.4e-04 7.8e-06 9.99e-01 1.670957035e+02 1.670959984e+02 6.4e-11 0.90
76 1.1e-07 2.2e-04 7.0e-06 1.00e+00 1.670957231e+02 1.670959884e+02 5.7e-11 0.91
77 9.8e-08 2.0e-04 6.3e-06 9.99e-01 1.670957407e+02 1.670959795e+02 5.2e-11 0.93
78 8.8e-08 1.8e-04 5.7e-06 9.97e-01 1.670957565e+02 1.670959714e+02 4.6e-11 0.94
79 8.0e-08 1.6e-04 5.1e-06 9.98e-01 1.670957707e+02 1.670959642e+02 4.2e-11 0.95
80 7.2e-08 1.4e-04 4.6e-06 1.01e+00 1.670957837e+02 1.670959575e+02 3.8e-11 0.96
81 6.5e-08 1.3e-04 4.1e-06 1.00e+00 1.670957952e+02 1.670959517e+02 3.4e-11 0.97
82 5.8e-08 1.2e-04 3.7e-06 1.00e+00 1.670958056e+02 1.670959464e+02 3.1e-11 0.99
83 5.2e-08 1.0e-04 3.3e-06 1.01e+00 1.670958152e+02 1.670959414e+02 2.8e-11 1.00
84 4.7e-08 9.4e-05 3.0e-06 1.01e+00 1.670958239e+02 1.670959370e+02 2.5e-11 1.01
85 4.2e-08 8.5e-05 2.7e-06 9.90e-01 1.670958313e+02 1.670959332e+02 2.2e-11 1.02
86 3.8e-08 7.6e-05 2.4e-06 9.89e-01 1.670958381e+02 1.670959298e+02 2.0e-11 1.03
87 3.4e-08 6.9e-05 2.2e-06 1.01e+00 1.670958443e+02 1.670959266e+02 1.8e-11 1.04
88 3.1e-08 6.2e-05 2.0e-06 1.04e+00 1.670958507e+02 1.670959232e+02 1.7e-11 1.05
89 2.8e-08 5.6e-05 1.8e-06 1.01e+00 1.670958557e+02 1.670959207e+02 1.5e-11 1.06
90 2.5e-08 5.0e-05 1.6e-06 9.98e-01 1.670958600e+02 1.670959185e+02 1.4e-11 1.08
91 2.3e-08 4.5e-05 1.4e-06 1.02e+00 1.670958641e+02 1.670959163e+02 1.2e-11 1.09
92 2.0e-08 4.1e-05 1.3e-06 1.00e+00 1.670958676e+02 1.670959146e+02 1.1e-11 1.10
93 1.8e-08 3.6e-05 1.2e-06 9.90e-01 1.670958707e+02 1.670959130e+02 1.0e-11 1.11
94 1.6e-08 3.3e-05 1.0e-06 1.02e+00 1.670958737e+02 1.670959115e+02 9.0e-12 1.13
95 1.5e-08 3.0e-05 9.4e-07 1.05e+00 1.670958768e+02 1.670959098e+02 8.3e-12 1.14
Interior-point optimizer terminated. Time: 1.14.
Optimizer terminated. Time: 1.15
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587679e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709590983e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.17 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 -1.281650054e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260064497e+05 3.586599049e+00 4.8e-01 0.05
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.201037597e+05 9.955017311e+00 1.9e-01 0.06
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.153210089e+05 5.962220084e+01 1.3e-01 0.07
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.127513450e+05 2.237149280e+03 1.3e-01 0.08
5 7.6e+01 9.7e+01 4.2e+03 -7.55e-01 -7.475762686e+04 9.749504609e+03 3.3e-02 0.09
6 3.7e+01 4.7e+01 2.0e+03 -2.00e-01 -4.738525256e+04 1.028817203e+04 1.6e-02 0.10
7 2.3e+01 3.0e+01 1.3e+03 2.71e-01 -3.362196953e+04 7.292237065e+03 1.0e-02 0.11
8 1.4e+01 1.7e+01 7.6e+02 5.18e-01 -2.155807202e+04 4.842486651e+03 6.0e-03 0.13
9 5.4e+00 6.9e+00 3.0e+02 7.18e-01 -8.872509852e+03 2.461239645e+03 2.4e-03 0.14
10 2.4e+00 3.1e+00 1.4e+02 9.11e-01 -3.777330744e+03 1.422693485e+03 1.1e-03 0.15
11 1.8e+00 2.3e+00 1.0e+02 9.74e-01 -2.754283202e+03 1.093076152e+03 7.9e-04 0.16
12 8.1e-01 1.0e+00 4.6e+01 9.82e-01 -1.172184980e+03 5.956564343e+02 3.6e-04 0.17
13 7.5e-01 1.1e+00 4.2e+01 9.46e-01 -1.100301997e+03 5.584994727e+02 3.4e-04 0.18
14 6.2e-01 8.9e-01 3.5e+01 9.87e-01 -8.693280944e+02 5.054047862e+02 2.8e-04 0.19
15 1.8e-01 2.9e-01 1.0e+01 9.89e-01 -1.579532371e+02 2.544989727e+02 8.4e-05 0.21
16 1.0e-01 1.8e-01 5.8e+00 1.01e+00 -1.917027168e+01 2.099840069e+02 4.7e-05 0.22
17 1.0e-01 1.8e-01 5.8e+00 1.02e+00 -1.750096827e+01 2.103208241e+02 4.7e-05 0.23
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.630757020e+01 2.107226609e+02 4.0e-05 0.24
19 4.3e-02 9.8e-02 2.5e+00 1.01e+00 9.144466818e+01 1.875636109e+02 2.0e-05 0.26
20 1.2e-02 1.6e-01 7.1e-01 1.01e+00 1.464198737e+02 1.736018191e+02 5.7e-06 0.27
21 4.7e-03 3.6e-01 2.8e-01 1.01e+00 1.584898654e+02 1.691035155e+02 2.3e-06 0.28
22 1.2e-03 1.8e-01 7.5e-02 1.01e+00 1.645724790e+02 1.674404058e+02 6.1e-07 0.29
23 6.6e-04 1.2e-01 4.1e-02 9.80e-01 1.655128872e+02 1.670779362e+02 3.4e-07 0.30
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662879406e+02 1.667831358e+02 1.1e-07 0.31
25 6.9e-05 1.0e-01 4.5e-03 1.01e+00 1.665171051e+02 1.666889233e+02 3.8e-08 0.33
26 3.1e-05 8.7e-02 2.1e-03 1.01e+00 1.665829626e+02 1.666610866e+02 1.8e-08 0.34
27 2.8e-05 7.9e-02 1.9e-03 1.01e+00 1.665892627e+02 1.666595793e+02 1.6e-08 0.35
28 2.5e-05 7.2e-02 1.7e-03 1.00e+00 1.665940978e+02 1.666573659e+02 1.4e-08 0.36
29 2.3e-05 6.6e-02 1.5e-03 1.00e+00 1.665985136e+02 1.666554465e+02 1.3e-08 0.37
30 2.0e-05 6.0e-02 1.4e-03 1.00e+00 1.666024751e+02 1.666537070e+02 1.1e-08 0.37
31 1.8e-05 5.5e-02 1.2e-03 1.00e+00 1.666060361e+02 1.666521384e+02 1.0e-08 0.38
32 1.7e-05 5.0e-02 1.1e-03 1.00e+00 1.666092360e+02 1.666507229e+02 9.3e-09 0.39
33 1.5e-05 4.6e-02 9.9e-04 1.00e+00 1.666121121e+02 1.666494459e+02 8.4e-09 0.40
34 1.3e-05 4.2e-02 8.9e-04 1.00e+00 1.666146972e+02 1.666482941e+02 7.5e-09 0.41
35 1.2e-05 3.9e-02 8.0e-04 1.00e+00 1.666170209e+02 1.666472551e+02 6.8e-09 0.42
36 1.1e-05 3.5e-02 7.2e-04 1.00e+00 1.666191097e+02 1.666463182e+02 6.1e-09 0.43
37 9.8e-06 3.3e-02 6.5e-04 1.00e+00 1.666209875e+02 1.666454732e+02 5.5e-09 0.44
38 8.8e-06 3.0e-02 5.9e-04 1.00e+00 1.666226758e+02 1.666447113e+02 5.0e-09 0.45
39 7.9e-06 2.8e-02 5.3e-04 1.00e+00 1.666241937e+02 1.666440244e+02 4.5e-09 0.46
40 7.1e-06 2.6e-02 4.7e-04 1.00e+00 1.666255585e+02 1.666434050e+02 4.0e-09 0.48
41 6.4e-06 2.4e-02 4.3e-04 1.00e+00 1.666267856e+02 1.666428467e+02 3.6e-09 0.49
42 5.8e-06 2.3e-02 3.8e-04 1.00e+00 1.666278891e+02 1.666423434e+02 3.3e-09 0.50
43 5.2e-06 2.1e-02 3.5e-04 1.00e+00 1.666288814e+02 1.666418897e+02 2.9e-09 0.51
44 4.7e-06 2.0e-02 3.1e-04 1.00e+00 1.666297737e+02 1.666414808e+02 2.6e-09 0.52
45 4.2e-06 1.9e-02 2.8e-04 1.00e+00 1.666305761e+02 1.666411121e+02 2.4e-09 0.53
46 3.8e-06 1.7e-02 2.5e-04 1.00e+00 1.666312977e+02 1.666407798e+02 2.1e-09 0.54
47 3.4e-06 1.7e-02 2.3e-04 1.00e+00 1.666319465e+02 1.666404803e+02 1.9e-09 0.55
48 3.1e-06 1.6e-02 2.0e-04 1.00e+00 1.666325300e+02 1.666402102e+02 1.7e-09 0.56
49 2.8e-06 1.5e-02 1.8e-04 1.00e+00 1.666330547e+02 1.666399667e+02 1.6e-09 0.57
50 2.5e-06 1.4e-02 1.7e-04 1.00e+00 1.666335265e+02 1.666397472e+02 1.4e-09 0.58
51 2.2e-06 1.4e-02 1.5e-04 1.00e+00 1.666339509e+02 1.666395494e+02 1.3e-09 0.60
52 2.0e-06 1.3e-02 1.3e-04 1.00e+00 1.666343325e+02 1.666393712e+02 1.1e-09 0.61
53 1.8e-06 1.2e-02 1.2e-04 1.00e+00 1.666346758e+02 1.666392105e+02 1.0e-09 0.62
54 1.6e-06 1.2e-02 1.1e-04 1.00e+00 1.666349846e+02 1.666390658e+02 9.2e-10 0.63
55 1.5e-06 1.2e-02 9.8e-05 1.00e+00 1.666352624e+02 1.666389354e+02 8.3e-10 0.64
56 1.3e-06 1.1e-02 8.8e-05 1.00e+00 1.666355122e+02 1.666388179e+02 7.4e-10 0.66
57 1.2e-06 1.1e-02 7.9e-05 1.00e+00 1.666357369e+02 1.666387120e+02 6.7e-10 0.67
58 1.1e-06 1.1e-02 7.1e-05 1.00e+00 1.666359390e+02 1.666386166e+02 6.0e-10 0.68
59 9.6e-07 1.0e-02 6.4e-05 1.00e+00 1.666361208e+02 1.666385306e+02 5.4e-10 0.69
60 8.7e-07 1.0e-02 5.8e-05 1.00e+00 1.666362843e+02 1.666384531e+02 4.9e-10 0.70
61 7.8e-07 9.9e-03 5.2e-05 1.00e+00 1.666364313e+02 1.666383833e+02 4.4e-10 0.71
62 7.0e-07 9.7e-03 4.7e-05 1.00e+00 1.666365636e+02 1.666383203e+02 4.0e-10 0.73
63 6.3e-07 9.5e-03 4.2e-05 1.00e+00 1.666366825e+02 1.666382636e+02 3.6e-10 0.74
64 5.7e-07 9.3e-03 3.8e-05 1.00e+00 1.666367895e+02 1.666382124e+02 3.2e-10 0.75
65 5.1e-07 9.2e-03 3.4e-05 1.00e+00 1.666368856e+02 1.666381663e+02 2.9e-10 0.76
66 4.6e-07 9.0e-03 3.1e-05 1.00e+00 1.666369721e+02 1.666381247e+02 2.6e-10 0.77
67 4.1e-07 8.9e-03 2.8e-05 1.00e+00 1.666370499e+02 1.666380872e+02 2.3e-10 0.78
68 3.7e-07 8.8e-03 2.5e-05 1.00e+00 1.666371198e+02 1.666380534e+02 2.1e-10 0.79
69 3.4e-07 8.7e-03 2.2e-05 1.00e+00 1.666371827e+02 1.666380229e+02 1.9e-10 0.81
70 3.0e-07 8.6e-03 2.0e-05 1.00e+00 1.666372392e+02 1.666379954e+02 1.7e-10 0.81
71 2.7e-07 8.5e-03 1.8e-05 1.00e+00 1.666372901e+02 1.666379707e+02 1.5e-10 0.82
72 2.4e-07 8.5e-03 1.6e-05 1.00e+00 1.666373359e+02 1.666379483e+02 1.4e-10 0.83
73 2.2e-07 8.4e-03 1.5e-05 9.99e-01 1.666373770e+02 1.666379283e+02 1.2e-10 0.84
74 2.0e-07 8.3e-03 1.3e-05 1.00e+00 1.666374140e+02 1.666379102e+02 1.1e-10 0.85
75 1.8e-07 8.3e-03 1.2e-05 1.00e+00 1.666374474e+02 1.666378938e+02 1.0e-10 0.86
76 1.6e-07 8.2e-03 1.1e-05 1.00e+00 1.666374773e+02 1.666378791e+02 9.1e-11 0.87
77 1.4e-07 8.2e-03 9.6e-06 9.98e-01 1.666375043e+02 1.666378659e+02 8.1e-11 0.88
78 1.3e-07 8.1e-03 8.7e-06 9.99e-01 1.666375285e+02 1.666378540e+02 7.3e-11 0.89
79 1.2e-07 8.1e-03 7.8e-06 9.97e-01 1.666375504e+02 1.666378434e+02 6.6e-11 0.90
80 1.1e-07 8.0e-03 7.0e-06 9.99e-01 1.666375700e+02 1.666378337e+02 5.9e-11 0.91
81 9.5e-08 8.0e-03 6.3e-06 1.00e+00 1.666375877e+02 1.666378250e+02 5.3e-11 0.93
82 8.5e-08 8.0e-03 5.7e-06 9.98e-01 1.666376036e+02 1.666378172e+02 4.8e-11 0.93
83 7.7e-08 7.9e-03 5.1e-06 1.00e+00 1.666376179e+02 1.666378101e+02 4.3e-11 0.94
84 6.9e-08 7.9e-03 4.6e-06 1.00e+00 1.666376308e+02 1.666378038e+02 3.9e-11 0.96
85 6.2e-08 7.9e-03 4.1e-06 1.00e+00 1.666376424e+02 1.666377981e+02 3.5e-11 0.97
86 5.6e-08 7.8e-03 3.7e-06 9.95e-01 1.666376528e+02 1.666377930e+02 3.2e-11 0.97
87 5.0e-08 7.8e-03 3.4e-06 9.99e-01 1.666376622e+02 1.666377884e+02 2.8e-11 0.99
88 4.5e-08 7.8e-03 3.0e-06 9.99e-01 1.666376707e+02 1.666377842e+02 2.6e-11 1.00
89 4.1e-08 7.7e-03 2.7e-06 9.97e-01 1.666376783e+02 1.666377805e+02 2.3e-11 1.01
90 3.7e-08 7.0e-03 2.4e-06 1.01e+00 1.666376852e+02 1.666377770e+02 2.1e-11 1.02
91 3.3e-08 6.3e-03 2.2e-06 1.00e+00 1.666376914e+02 1.666377740e+02 1.9e-11 1.03
92 3.0e-08 5.6e-03 2.0e-06 9.76e-01 1.666376969e+02 1.666377713e+02 1.7e-11 1.04
93 2.7e-08 5.1e-03 1.8e-06 1.00e+00 1.666377019e+02 1.666377688e+02 1.5e-11 1.06
94 2.4e-08 4.6e-03 1.6e-06 1.01e+00 1.666377066e+02 1.666377665e+02 1.4e-11 1.07
95 2.2e-08 4.1e-03 1.4e-06 1.00e+00 1.666377106e+02 1.666377645e+02 1.2e-11 1.08
96 2.0e-08 3.7e-03 1.3e-06 9.97e-01 1.666377142e+02 1.666377627e+02 1.1e-11 1.09
97 1.8e-08 3.3e-03 1.2e-06 1.02e+00 1.666377177e+02 1.666377610e+02 1.0e-11 1.10
98 1.6e-08 3.0e-03 1.1e-06 9.87e-01 1.666377206e+02 1.666377596e+02 9.0e-12 1.11
99 1.4e-08 2.7e-03 9.5e-07 9.81e-01 1.666377232e+02 1.666377583e+02 8.1e-12 1.13
100 1.3e-08 2.4e-03 8.5e-07 9.73e-01 1.666377255e+02 1.666377572e+02 7.3e-12 1.14
101 1.2e-08 2.2e-03 7.7e-07 9.93e-01 1.666377276e+02 1.666377561e+02 6.6e-12 1.15
102 1.0e-08 2.0e-03 6.9e-07 9.97e-01 1.666377295e+02 1.666377552e+02 5.9e-12 1.16
103 9.4e-09 1.8e-03 6.2e-07 1.03e+00 1.666377314e+02 1.666377542e+02 5.4e-12 1.17
104 8.4e-09 1.6e-03 5.6e-07 1.02e+00 1.666377331e+02 1.666377534e+02 4.9e-12 1.19
105 7.6e-09 1.4e-03 5.0e-07 1.01e+00 1.666377345e+02 1.666377527e+02 4.4e-12 1.20
106 6.9e-09 1.3e-03 4.5e-07 9.90e-01 1.666377357e+02 1.666377521e+02 4.0e-12 1.21
107 6.2e-09 1.2e-03 4.1e-07 9.87e-01 1.666377368e+02 1.666377516e+02 3.6e-12 1.22
108 5.6e-09 1.0e-03 3.7e-07 1.05e+00 1.666377381e+02 1.666377509e+02 3.3e-12 1.23
109 5.0e-09 9.4e-04 3.3e-07 9.98e-01 1.666377389e+02 1.666377505e+02 3.0e-12 1.24
110 4.5e-09 8.5e-04 3.0e-07 1.04e+00 1.666377398e+02 1.666377500e+02 2.7e-12 1.25
111 4.0e-09 7.6e-04 2.7e-07 9.53e-01 1.666377405e+02 1.666377497e+02 2.5e-12 1.26
112 3.7e-09 6.9e-04 2.4e-07 1.24e+00 1.666377412e+02 1.666377494e+02 2.2e-12 1.28
113 3.4e-09 6.2e-04 2.2e-07 1.14e+00 1.666377421e+02 1.666377489e+02 2.1e-12 1.29
114 2.8e-09 5.0e-05 1.8e-08 1.05e+00 1.666377463e+02 1.666377468e+02 1.3e-13 1.30
Interior-point optimizer terminated. Time: 1.30.
Optimizer terminated. Time: 1.31
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774626e+02 Viol. con: 8e-08 var: 0e+00
Dual. obj: 1.6663774679e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.33 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : 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 -1.281256834e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259652932e+05 3.580273149e+00 4.8e-01 0.06
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.199460142e+05 1.005567606e+01 1.9e-01 0.07
3 2.9e+02 3.7e+02 1.6e+04 -8.41e-01 -1.152369815e+05 6.134024796e+01 1.3e-01 0.08
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.125938777e+05 2.293613924e+03 1.3e-01 0.10
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.359808817e+04 9.834635089e+03 3.2e-02 0.11
6 3.6e+01 4.5e+01 2.0e+03 -1.82e-01 -4.627584687e+04 1.009594581e+04 1.6e-02 0.12
7 2.1e+01 2.7e+01 1.2e+03 2.90e-01 -3.084199338e+04 6.881641140e+03 9.2e-03 0.13
8 1.2e+01 1.6e+01 6.7e+02 5.65e-01 -1.932389714e+04 4.483622801e+03 5.4e-03 0.14
9 4.7e+00 6.0e+00 2.6e+02 7.54e-01 -7.701969771e+03 2.174742752e+03 2.1e-03 0.15
10 2.3e+00 2.9e+00 1.3e+02 9.26e-01 -3.516850540e+03 1.397317750e+03 1.0e-03 0.17
11 1.5e+00 1.9e+00 8.4e+01 9.76e-01 -2.278053099e+03 9.686734387e+02 6.7e-04 0.18
12 8.5e-01 1.1e+00 4.7e+01 9.85e-01 -1.223619539e+03 6.225979274e+02 3.8e-04 0.19
13 7.5e-01 9.9e-01 4.2e+01 9.54e-01 -1.085109627e+03 5.622481967e+02 3.3e-04 0.20
14 3.7e-01 4.9e-01 2.1e+01 9.85e-01 -4.368209992e+02 3.757313214e+02 1.7e-04 0.21
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.425570134e+02 2.585351443e+02 8.2e-05 0.22
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 5.484140129e+00 2.044129824e+02 4.1e-05 0.23
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.455515221e+01 2.066563953e+02 4.0e-05 0.24
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 6.001228414e+01 1.948456405e+02 2.8e-05 0.25
19 2.9e-02 7.3e-02 1.7e+00 1.01e+00 1.156053900e+02 1.809647593e+02 1.4e-05 0.26
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.526398572e+02 1.716139589e+02 4.0e-06 0.27
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622522191e+02 1.679613449e+02 1.2e-06 0.28
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639807360e+02 1.674413338e+02 7.3e-07 0.29
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656593419e+02 1.668669755e+02 2.6e-07 0.30
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661981708e+02 1.666657453e+02 1.0e-07 0.31
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662345748e+02 1.666552708e+02 9.2e-08 0.32
26 1.6e-04 7.9e-02 9.9e-03 1.01e+00 1.662646322e+02 1.666431174e+02 8.3e-08 0.34
27 1.4e-04 7.2e-02 8.9e-03 1.01e+00 1.662918639e+02 1.666323882e+02 7.5e-08 0.35
28 1.3e-04 6.6e-02 8.0e-03 1.01e+00 1.663162470e+02 1.666226257e+02 6.7e-08 0.36
29 1.2e-04 6.0e-02 7.2e-03 1.01e+00 1.663381291e+02 1.666137931e+02 6.0e-08 0.37
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663577609e+02 1.666057954e+02 5.4e-08 0.38
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663753758e+02 1.665985552e+02 4.9e-08 0.39
32 8.4e-05 4.6e-02 5.3e-03 1.01e+00 1.663911816e+02 1.665920009e+02 4.4e-08 0.40
33 7.6e-05 4.2e-02 4.7e-03 1.01e+00 1.664053653e+02 1.665860684e+02 4.0e-08 0.41
34 6.8e-05 3.9e-02 4.3e-03 1.01e+00 1.664180947e+02 1.665806996e+02 3.6e-08 0.42
35 6.2e-05 3.5e-02 3.8e-03 1.01e+00 1.664295199e+02 1.665758419e+02 3.2e-08 0.43
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664397758e+02 1.665714475e+02 2.9e-08 0.44
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664489831e+02 1.665674731e+02 2.6e-08 0.45
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664572500e+02 1.665638793e+02 2.3e-08 0.46
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664646732e+02 1.665606303e+02 2.1e-08 0.48
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664713396e+02 1.665576936e+02 1.9e-08 0.49
41 3.3e-05 2.2e-02 2.0e-03 1.00e+00 1.664773270e+02 1.665550397e+02 1.7e-08 0.50
42 2.9e-05 2.1e-02 1.8e-03 1.00e+00 1.664827050e+02 1.665526419e+02 1.5e-08 0.51
43 2.6e-05 2.0e-02 1.7e-03 1.00e+00 1.664875362e+02 1.665504757e+02 1.4e-08 0.52
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664918767e+02 1.665485194e+02 1.2e-08 0.53
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664957766e+02 1.665467528e+02 1.1e-08 0.55
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664992811e+02 1.665451579e+02 1.0e-08 0.56
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665024305e+02 1.665437183e+02 9.1e-09 0.57
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665052612e+02 1.665424193e+02 8.2e-09 0.58
49 1.4e-05 1.4e-02 8.8e-04 1.00e+00 1.665078057e+02 1.665412472e+02 7.4e-09 0.59
50 1.3e-05 1.4e-02 7.9e-04 1.00e+00 1.665100932e+02 1.665401900e+02 6.6e-09 0.60
51 1.1e-05 1.3e-02 7.1e-04 1.00e+00 1.665121499e+02 1.665392365e+02 6.0e-09 0.61
52 1.0e-05 1.2e-02 6.4e-04 1.00e+00 1.665139992e+02 1.665383769e+02 5.4e-09 0.62
53 9.2e-06 1.2e-02 5.8e-04 1.00e+00 1.665156622e+02 1.665376019e+02 4.8e-09 0.64
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665171578e+02 1.665369034e+02 4.3e-09 0.65
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665185029e+02 1.665362739e+02 3.9e-09 0.66
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665197128e+02 1.665357067e+02 3.5e-09 0.67
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665208011e+02 1.665351956e+02 3.2e-09 0.68
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217801e+02 1.665347351e+02 2.9e-09 0.69
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226606e+02 1.665343202e+02 2.6e-09 0.71
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234527e+02 1.665339464e+02 2.3e-09 0.72
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241653e+02 1.665336096e+02 2.1e-09 0.73
62 3.6e-06 9.5e-03 2.2e-04 1.00e+00 1.665248061e+02 1.665333060e+02 1.9e-09 0.74
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253826e+02 1.665330325e+02 1.7e-09 0.75
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665259010e+02 1.665327860e+02 1.5e-09 0.76
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263674e+02 1.665325639e+02 1.4e-09 0.77
66 2.3e-06 9.0e-03 1.5e-04 1.00e+00 1.665267868e+02 1.665323637e+02 1.2e-09 0.78
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271642e+02 1.665321834e+02 1.1e-09 0.79
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665275037e+02 1.665320210e+02 1.0e-09 0.80
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665278090e+02 1.665318747e+02 9.0e-10 0.82
70 1.5e-06 8.6e-03 9.6e-05 1.00e+00 1.665280838e+02 1.665317429e+02 8.1e-10 0.83
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283309e+02 1.665316241e+02 7.3e-10 0.84
72 1.2e-06 8.5e-03 7.8e-05 1.00e+00 1.665285533e+02 1.665315171e+02 6.5e-10 0.85
73 1.1e-06 8.5e-03 7.0e-05 1.00e+00 1.665287533e+02 1.665314208e+02 5.9e-10 0.86
74 1.0e-06 8.4e-03 6.3e-05 1.00e+00 1.665289332e+02 1.665313340e+02 5.3e-10 0.87
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290950e+02 1.665312557e+02 4.8e-10 0.88
76 8.2e-07 8.3e-03 5.1e-05 1.00e+00 1.665292406e+02 1.665311853e+02 4.3e-10 0.89
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293715e+02 1.665311217e+02 3.9e-10 0.90
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294893e+02 1.665310645e+02 3.5e-10 0.91
79 6.0e-07 8.2e-03 3.7e-05 1.00e+00 1.665295952e+02 1.665310129e+02 3.1e-10 0.92
80 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.665296904e+02 1.665309664e+02 2.8e-10 0.93
81 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.665297761e+02 1.665309244e+02 2.5e-10 0.94
82 4.4e-07 8.1e-03 2.7e-05 1.00e+00 1.665298531e+02 1.665308867e+02 2.3e-10 0.95
83 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.665299224e+02 1.665308526e+02 2.1e-10 0.96
84 3.5e-07 8.0e-03 2.2e-05 1.00e+00 1.665299847e+02 1.665308219e+02 1.8e-10 0.98
85 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.665300407e+02 1.665307941e+02 1.7e-10 0.99
86 2.9e-07 8.0e-03 1.8e-05 9.99e-01 1.665300910e+02 1.665307692e+02 1.5e-10 1.00
87 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.665301364e+02 1.665307467e+02 1.3e-10 1.01
88 2.3e-07 7.9e-03 1.4e-05 9.99e-01 1.665301771e+02 1.665307265e+02 1.2e-10 1.02
89 2.1e-07 7.9e-03 1.3e-05 9.99e-01 1.665302138e+02 1.665307082e+02 1.1e-10 1.04
90 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.665302468e+02 1.665306918e+02 9.8e-11 1.05
91 1.7e-07 7.9e-03 1.1e-05 9.98e-01 1.665302765e+02 1.665306770e+02 8.8e-11 1.06
92 1.5e-07 7.9e-03 9.5e-06 1.00e+00 1.665303032e+02 1.665306636e+02 7.9e-11 1.07
93 1.4e-07 7.9e-03 8.6e-06 1.00e+00 1.665303272e+02 1.665306515e+02 7.2e-11 1.08
94 1.2e-07 7.8e-03 7.7e-06 1.00e+00 1.665303489e+02 1.665306407e+02 6.4e-11 1.09
95 1.1e-07 7.8e-03 6.9e-06 9.98e-01 1.665303683e+02 1.665306310e+02 5.8e-11 1.10
96 1.0e-07 7.8e-03 6.2e-06 9.99e-01 1.665303858e+02 1.665306222e+02 5.2e-11 1.11
97 9.0e-08 7.0e-03 5.6e-06 1.01e+00 1.665304017e+02 1.665306142e+02 4.7e-11 1.12
98 8.1e-08 6.3e-03 5.1e-06 9.99e-01 1.665304158e+02 1.665306071e+02 4.2e-11 1.14
99 7.3e-08 5.7e-03 4.5e-06 1.00e+00 1.665304286e+02 1.665306007e+02 3.8e-11 1.15
100 6.5e-08 5.1e-03 4.1e-06 1.00e+00 1.665304401e+02 1.665305950e+02 3.4e-11 1.16
101 5.9e-08 4.6e-03 3.7e-06 9.98e-01 1.665304504e+02 1.665305898e+02 3.1e-11 1.17
102 5.3e-08 4.1e-03 3.3e-06 9.97e-01 1.665304596e+02 1.665305852e+02 2.8e-11 1.18
103 4.8e-08 3.7e-03 3.0e-06 1.00e+00 1.665304680e+02 1.665305810e+02 2.5e-11 1.19
104 4.3e-08 3.4e-03 2.7e-06 1.00e+00 1.665304755e+02 1.665305772e+02 2.2e-11 1.21
105 3.9e-08 3.0e-03 2.4e-06 9.99e-01 1.665304823e+02 1.665305738e+02 2.0e-11 1.22
106 3.5e-08 2.7e-03 2.2e-06 9.88e-01 1.665304884e+02 1.665305708e+02 1.8e-11 1.23
107 3.1e-08 2.4e-03 2.0e-06 9.94e-01 1.665304938e+02 1.665305680e+02 1.6e-11 1.24
108 2.8e-08 2.2e-03 1.8e-06 1.02e+00 1.665304993e+02 1.665305652e+02 1.5e-11 1.25
109 2.5e-08 2.0e-03 1.6e-06 9.89e-01 1.665305037e+02 1.665305630e+02 1.3e-11 1.26
110 2.3e-08 1.8e-03 1.4e-06 1.02e+00 1.665305080e+02 1.665305608e+02 1.2e-11 1.28
111 2.0e-08 1.6e-03 1.3e-06 1.02e+00 1.665305118e+02 1.665305589e+02 1.1e-11 1.29
112 1.8e-08 1.4e-03 1.2e-06 1.01e+00 1.665305151e+02 1.665305572e+02 1.0e-11 1.30
113 1.7e-08 1.3e-03 1.0e-06 9.69e-01 1.665305179e+02 1.665305559e+02 9.0e-12 1.31
114 1.5e-08 1.2e-03 9.4e-07 9.93e-01 1.665305204e+02 1.665305546e+02 8.1e-12 1.32
115 1.3e-08 1.1e-03 8.4e-07 1.00e+00 1.665305227e+02 1.665305535e+02 7.3e-12 1.33
116 1.2e-08 9.5e-04 7.6e-07 9.72e-01 1.665305247e+02 1.665305525e+02 6.6e-12 1.35
117 1.1e-08 8.5e-04 6.8e-07 1.00e+00 1.665305266e+02 1.665305515e+02 5.9e-12 1.36
118 9.8e-09 7.7e-04 6.1e-07 1.03e+00 1.665305284e+02 1.665305506e+02 5.4e-12 1.37
119 8.8e-09 6.9e-04 5.5e-07 9.95e-01 1.665305299e+02 1.665305498e+02 4.9e-12 1.38
120 7.9e-09 6.2e-04 5.0e-07 1.01e+00 1.665305312e+02 1.665305492e+02 4.4e-12 1.39
121 7.1e-09 5.6e-04 4.5e-07 1.01e+00 1.665305325e+02 1.665305486e+02 4.0e-12 1.40
122 6.4e-09 5.0e-04 4.0e-07 9.67e-01 1.665305335e+02 1.665305480e+02 3.6e-12 1.41
123 5.8e-09 4.5e-04 3.6e-07 1.09e+00 1.665305349e+02 1.665305473e+02 3.3e-12 1.42
124 5.2e-09 4.1e-04 3.3e-07 9.48e-01 1.665305357e+02 1.665305469e+02 3.0e-12 1.43
125 4.7e-09 3.7e-04 2.9e-07 1.08e+00 1.665305367e+02 1.665305464e+02 2.8e-12 1.44
126 4.2e-09 3.3e-04 2.6e-07 1.09e+00 1.665305376e+02 1.665305459e+02 2.6e-12 1.45
127 3.8e-09 3.0e-04 2.4e-07 9.39e-01 1.665305382e+02 1.665305456e+02 2.4e-12 1.46
128 3.4e-09 2.7e-04 2.1e-07 1.04e+00 1.665305388e+02 1.665305453e+02 2.2e-12 1.48
129 3.1e-09 2.4e-04 1.9e-07 1.00e+00 1.665305392e+02 1.665305451e+02 2.0e-12 1.49
130 7.8e-10 2.5e-05 2.0e-08 9.95e-01 1.665305428e+02 1.665305434e+02 2.1e-13 1.50
Interior-point optimizer terminated. Time: 1.51.
Optimizer terminated. Time: 1.51
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054276e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6653054337e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.53 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 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259510014e+05 3.575672569e+00 4.8e-01 0.06
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.198706846e+05 1.013520821e+01 1.9e-01 0.07
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.151566026e+05 6.243045737e+01 1.2e-01 0.08
4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125384740e+05 2.273182452e+03 1.2e-01 0.09
5 7.5e+01 9.6e+01 4.1e+03 -7.53e-01 -7.445605244e+04 9.639359126e+03 3.3e-02 0.10
6 3.3e+01 4.2e+01 1.8e+03 -1.95e-01 -4.330177804e+04 1.030586492e+04 1.4e-02 0.11
7 1.9e+01 2.5e+01 1.1e+03 3.42e-01 -2.853324490e+04 6.914887548e+03 8.5e-03 0.12
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.808894997e+04 4.388509078e+03 5.0e-03 0.13
9 4.5e+00 5.7e+00 2.5e+02 7.74e-01 -7.326212033e+03 2.100233374e+03 2.0e-03 0.14
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.203274163e+03 1.327239923e+03 9.3e-04 0.15
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.002126740e+03 8.889964542e+02 6.0e-04 0.16
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.160051067e+03 6.061243491e+02 3.6e-04 0.17
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.074216263e+02 5.061555151e+02 2.9e-04 0.18
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.159485816e+02 3.800107586e+02 1.6e-04 0.19
15 1.8e-01 2.4e-01 9.9e+00 9.93e-01 -1.329957482e+02 2.580945951e+02 8.0e-05 0.20
16 7.9e-02 1.3e-01 4.5e+00 1.01e+00 2.194799602e+01 1.995885487e+02 3.7e-05 0.22
17 6.8e-02 1.1e-01 3.9e+00 1.02e+00 4.516583579e+01 1.977870521e+02 3.2e-05 0.22
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.183229530e+02 1.806140843e+02 1.3e-05 0.23
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.533662853e+02 1.714094523e+02 3.8e-06 0.24
20 2.9e-03 2.4e-01 1.7e-01 1.00e+00 1.613684168e+02 1.680689166e+02 1.4e-06 0.26
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635977354e+02 1.674592385e+02 8.2e-07 0.27
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656258695e+02 1.668059043e+02 2.6e-07 0.28
23 1.8e-04 1.1e-01 1.1e-02 1.01e+00 1.661711997e+02 1.666014912e+02 9.5e-08 0.29
24 8.3e-05 8.8e-02 5.3e-03 1.01e+00 1.663352993e+02 1.665344390e+02 4.4e-08 0.30
25 3.7e-05 8.0e-02 2.4e-03 1.01e+00 1.664121423e+02 1.665025032e+02 2.0e-08 0.31
26 3.4e-05 7.3e-02 2.2e-03 1.01e+00 1.664199896e+02 1.665013365e+02 1.8e-08 0.32
27 3.0e-05 6.6e-02 1.9e-03 1.01e+00 1.664255105e+02 1.664986948e+02 1.6e-08 0.33
28 2.7e-05 6.1e-02 1.7e-03 1.01e+00 1.664306010e+02 1.664964528e+02 1.5e-08 0.34
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664351559e+02 1.664944102e+02 1.3e-08 0.35
30 2.2e-05 5.1e-02 1.4e-03 1.01e+00 1.664392503e+02 1.664925693e+02 1.2e-08 0.35
31 2.0e-05 4.6e-02 1.3e-03 1.00e+00 1.664429280e+02 1.664909070e+02 1.1e-08 0.37
32 1.8e-05 4.2e-02 1.1e-03 1.00e+00 1.664462324e+02 1.664894068e+02 9.7e-09 0.37
33 1.6e-05 3.9e-02 1.0e-03 1.00e+00 1.664492015e+02 1.664880531e+02 8.7e-09 0.39
34 1.5e-05 3.6e-02 9.3e-04 1.00e+00 1.664518697e+02 1.664868318e+02 7.8e-09 0.40
35 1.3e-05 3.3e-02 8.3e-04 1.00e+00 1.664542678e+02 1.664857302e+02 7.1e-09 0.41
36 1.2e-05 3.0e-02 7.5e-04 1.00e+00 1.664564233e+02 1.664847366e+02 6.4e-09 0.42
37 1.1e-05 2.8e-02 6.8e-04 1.00e+00 1.664583610e+02 1.664838406e+02 5.7e-09 0.43
38 9.5e-06 2.6e-02 6.1e-04 1.00e+00 1.664601031e+02 1.664830329e+02 5.2e-09 0.44
39 8.6e-06 2.4e-02 5.5e-04 1.00e+00 1.664616694e+02 1.664823048e+02 4.6e-09 0.45
40 7.7e-06 2.3e-02 4.9e-04 1.00e+00 1.664630778e+02 1.664816485e+02 4.2e-09 0.46
41 6.9e-06 2.1e-02 4.4e-04 1.00e+00 1.664643445e+02 1.664810571e+02 3.8e-09 0.48
42 6.3e-06 2.0e-02 4.0e-04 1.00e+00 1.664654836e+02 1.664805242e+02 3.4e-09 0.49
43 5.6e-06 1.9e-02 3.6e-04 1.00e+00 1.664665082e+02 1.664800441e+02 3.0e-09 0.50
44 5.1e-06 1.7e-02 3.2e-04 1.00e+00 1.664674298e+02 1.664796116e+02 2.7e-09 0.51
45 4.6e-06 1.6e-02 2.9e-04 1.00e+00 1.664682588e+02 1.664792221e+02 2.5e-09 0.53
46 4.1e-06 1.6e-02 2.6e-04 1.00e+00 1.664690045e+02 1.664788712e+02 2.2e-09 0.54
47 3.7e-06 1.5e-02 2.4e-04 1.00e+00 1.664696753e+02 1.664785551e+02 2.0e-09 0.55
48 3.3e-06 1.4e-02 2.1e-04 1.00e+00 1.664702788e+02 1.664782704e+02 1.8e-09 0.56
49 3.0e-06 1.3e-02 1.9e-04 1.00e+00 1.664708216e+02 1.664780139e+02 1.6e-09 0.57
50 2.7e-06 1.3e-02 1.7e-04 1.00e+00 1.664713100e+02 1.664777830e+02 1.5e-09 0.58
51 2.4e-06 1.2e-02 1.5e-04 1.00e+00 1.664717494e+02 1.664775750e+02 1.3e-09 0.59
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664721448e+02 1.664773877e+02 1.2e-09 0.60
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664725006e+02 1.664772192e+02 1.1e-09 0.61
54 1.8e-06 1.1e-02 1.1e-04 1.00e+00 1.664728207e+02 1.664770675e+02 9.6e-10 0.62
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664731088e+02 1.664769309e+02 8.6e-10 0.63
56 1.4e-06 1.0e-02 9.1e-05 1.00e+00 1.664733681e+02 1.664768080e+02 7.7e-10 0.65
57 1.3e-06 1.0e-02 8.2e-05 1.00e+00 1.664736015e+02 1.664766973e+02 7.0e-10 0.66
58 1.2e-06 9.9e-03 7.4e-05 1.00e+00 1.664738115e+02 1.664765978e+02 6.3e-10 0.67
59 1.0e-06 9.6e-03 6.7e-05 1.00e+00 1.664740005e+02 1.664765081e+02 5.6e-10 0.68
60 9.4e-07 9.4e-03 6.0e-05 1.00e+00 1.664741705e+02 1.664764274e+02 5.1e-10 0.70
61 8.4e-07 9.3e-03 5.4e-05 1.00e+00 1.664743235e+02 1.664763548e+02 4.6e-10 0.71
62 7.6e-07 9.1e-03 4.9e-05 1.00e+00 1.664744612e+02 1.664762893e+02 4.1e-10 0.72
63 6.8e-07 8.9e-03 4.4e-05 1.00e+00 1.664745851e+02 1.664762304e+02 3.7e-10 0.72
64 6.2e-07 8.8e-03 3.9e-05 1.00e+00 1.664746966e+02 1.664761774e+02 3.3e-10 0.73
65 5.5e-07 8.7e-03 3.5e-05 1.00e+00 1.664747969e+02 1.664761295e+02 3.0e-10 0.74
66 5.0e-07 8.6e-03 3.2e-05 1.00e+00 1.664748871e+02 1.664760865e+02 2.7e-10 0.75
67 4.5e-07 8.5e-03 2.9e-05 1.00e+00 1.664749683e+02 1.664760477e+02 2.4e-10 0.76
68 4.0e-07 8.4e-03 2.6e-05 1.00e+00 1.664750413e+02 1.664760128e+02 2.2e-10 0.77
69 3.6e-07 8.3e-03 2.3e-05 1.00e+00 1.664751069e+02 1.664759812e+02 2.0e-10 0.78
70 3.3e-07 8.2e-03 2.1e-05 1.00e+00 1.664751660e+02 1.664759529e+02 1.8e-10 0.79
71 2.9e-07 8.2e-03 1.9e-05 1.00e+00 1.664752192e+02 1.664759273e+02 1.6e-10 0.80
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752670e+02 1.664759043e+02 1.4e-10 0.81
73 2.4e-07 8.1e-03 1.5e-05 1.00e+00 1.664753100e+02 1.664758836e+02 1.3e-10 0.82
74 2.1e-07 8.0e-03 1.4e-05 1.00e+00 1.664753487e+02 1.664758649e+02 1.2e-10 0.84
75 1.9e-07 8.0e-03 1.2e-05 1.00e+00 1.664753835e+02 1.664758481e+02 1.0e-10 0.85
76 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.664754148e+02 1.664758329e+02 9.4e-11 0.86
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754431e+02 1.664758192e+02 8.5e-11 0.87
78 1.4e-07 7.9e-03 9.0e-06 1.00e+00 1.664754685e+02 1.664758069e+02 7.6e-11 0.89
79 1.3e-07 7.8e-03 8.1e-06 1.00e+00 1.664754914e+02 1.664757959e+02 6.9e-11 0.90
80 1.1e-07 7.8e-03 7.3e-06 9.98e-01 1.664755119e+02 1.664757860e+02 6.2e-11 0.94
81 1.0e-07 7.8e-03 6.6e-06 1.00e+00 1.664755303e+02 1.664757771e+02 5.6e-11 0.96
82 9.2e-08 7.7e-03 5.9e-06 1.00e+00 1.664755470e+02 1.664757690e+02 5.0e-11 0.97
83 8.3e-08 7.0e-03 5.3e-06 1.00e+00 1.664755621e+02 1.664757617e+02 4.5e-11 0.98
84 7.5e-08 6.3e-03 4.8e-06 9.99e-01 1.664755755e+02 1.664757552e+02 4.1e-11 0.99
85 6.7e-08 5.6e-03 4.3e-06 1.00e+00 1.664755876e+02 1.664757493e+02 3.7e-11 1.00
86 6.1e-08 5.1e-03 3.9e-06 9.97e-01 1.664755985e+02 1.664757441e+02 3.3e-11 1.01
87 5.5e-08 4.6e-03 3.5e-06 9.96e-01 1.664756083e+02 1.664757393e+02 3.0e-11 1.02
88 4.9e-08 4.1e-03 3.1e-06 9.95e-01 1.664756171e+02 1.664757351e+02 2.7e-11 1.03
89 4.4e-08 3.7e-03 2.8e-06 9.94e-01 1.664756251e+02 1.664757312e+02 2.4e-11 1.04
90 4.0e-08 3.3e-03 2.5e-06 9.93e-01 1.664756322e+02 1.664757278e+02 2.2e-11 1.05
91 3.6e-08 3.0e-03 2.3e-06 1.01e+00 1.664756390e+02 1.664757245e+02 2.0e-11 1.06
92 3.2e-08 2.7e-03 2.1e-06 9.93e-01 1.664756448e+02 1.664757217e+02 1.8e-11 1.07
93 2.9e-08 2.4e-03 1.9e-06 1.01e+00 1.664756501e+02 1.664757190e+02 1.6e-11 1.09
94 2.6e-08 2.2e-03 1.7e-06 9.89e-01 1.664756548e+02 1.664757168e+02 1.4e-11 1.09
95 2.4e-08 2.0e-03 1.5e-06 1.00e+00 1.664756590e+02 1.664757148e+02 1.3e-11 1.10
96 2.1e-08 1.8e-03 1.4e-06 1.04e+00 1.664756633e+02 1.664757126e+02 1.2e-11 1.12
97 1.9e-08 1.6e-03 1.2e-06 9.88e-01 1.664756666e+02 1.664757110e+02 1.1e-11 1.13
98 1.7e-08 1.4e-03 1.1e-06 1.01e+00 1.664756698e+02 1.664757095e+02 9.6e-12 1.14
99 1.5e-08 1.3e-03 9.8e-07 9.95e-01 1.664756724e+02 1.664757082e+02 8.6e-12 1.16
100 1.4e-08 1.2e-03 8.9e-07 1.02e+00 1.664756750e+02 1.664757069e+02 7.8e-12 1.17
101 1.3e-08 1.0e-03 8.0e-07 1.02e+00 1.664756773e+02 1.664757058e+02 7.1e-12 1.18
102 1.1e-08 9.4e-04 7.2e-07 1.04e+00 1.664756796e+02 1.664757046e+02 6.5e-12 1.18
103 1.0e-08 8.5e-04 6.5e-07 1.05e+00 1.664756817e+02 1.664757036e+02 6.0e-12 1.19
104 1.5e-09 9.6e-05 7.3e-08 1.02e+00 1.664756948e+02 1.664756972e+02 6.4e-13 1.20
Interior-point optimizer terminated. Time: 1.20.
Optimizer terminated. Time: 1.21
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569480e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6647569723e+02 Viol. con: 0e+00 var: 6e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.23 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 -1.280507084e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258771623e+05 3.574359683e+00 4.8e-01 0.05
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197600712e+05 1.017435596e+01 1.9e-01 0.07
3 2.9e+02 3.6e+02 1.6e+04 -8.40e-01 -1.150414976e+05 6.302901448e+01 1.2e-01 0.08
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124384907e+05 2.261517125e+03 1.2e-01 0.09
5 7.5e+01 9.6e+01 4.2e+03 -7.52e-01 -7.457691252e+04 9.579751109e+03 3.3e-02 0.10
6 3.0e+01 3.8e+01 1.7e+03 -1.97e-01 -4.046196842e+04 1.027492033e+04 1.3e-02 0.11
7 1.8e+01 2.3e+01 1.0e+03 3.92e-01 -2.694186014e+04 6.671810912e+03 7.9e-03 0.13
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.557346075e+04 3.882130663e+03 4.3e-03 0.14
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.391621662e+03 1.890794754e+03 1.7e-03 0.15
10 2.1e+00 2.6e+00 1.2e+02 9.41e-01 -3.269353675e+03 1.203687466e+03 9.2e-04 0.16
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.531766963e+03 7.332250440e+02 4.7e-04 0.17
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.183107193e+03 6.026626458e+02 3.6e-04 0.19
13 4.8e-01 6.1e-01 2.7e+01 9.74e-01 -6.438483036e+02 4.230518878e+02 2.2e-04 0.20
14 2.7e-01 3.5e-01 1.5e+01 1.00e+00 -2.811301285e+02 3.129233153e+02 1.2e-04 0.21
15 9.5e-02 1.5e-01 5.4e+00 1.00e+00 -7.756579808e+00 2.064997838e+02 4.4e-05 0.22
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.583769357e+01 2.085235999e+02 4.0e-05 0.23
17 5.8e-02 9.1e-02 3.3e+00 1.02e+00 6.550583205e+01 1.939212563e+02 2.7e-05 0.25
18 2.7e-02 7.0e-02 1.6e+00 1.02e+00 1.189883595e+02 1.798013780e+02 1.3e-05 0.26
19 7.7e-03 1.9e-01 4.5e-01 1.02e+00 1.538341105e+02 1.711160677e+02 3.6e-06 0.27
20 3.1e-03 2.3e-01 1.8e-01 1.01e+00 1.611248240e+02 1.680953008e+02 1.5e-06 0.28
21 1.8e-03 1.4e-01 1.1e-01 1.01e+00 1.633660030e+02 1.674682390e+02 8.8e-07 0.29
22 5.4e-04 1.3e-01 3.3e-02 1.01e+00 1.655412475e+02 1.667977625e+02 2.7e-07 0.31
23 3.9e-04 1.1e-01 2.4e-02 9.97e-01 1.657984583e+02 1.666979983e+02 2.0e-07 0.32
24 2.1e-04 7.7e-02 1.3e-02 9.85e-01 1.660841071e+02 1.665893348e+02 1.1e-07 0.33
25 1.8e-04 6.6e-02 1.1e-02 1.00e+00 1.661383213e+02 1.665728415e+02 9.5e-08 0.34
26 1.7e-04 6.0e-02 1.0e-02 1.01e+00 1.661705933e+02 1.665614005e+02 8.6e-08 0.35
27 1.5e-04 5.5e-02 9.3e-03 1.01e+00 1.661982541e+02 1.665498597e+02 7.7e-08 0.37
28 1.3e-04 5.0e-02 8.3e-03 1.01e+00 1.662232945e+02 1.665396642e+02 6.9e-08 0.38
29 1.2e-04 4.6e-02 7.5e-03 1.01e+00 1.662457221e+02 1.665303944e+02 6.2e-08 0.39
30 1.1e-04 4.2e-02 6.8e-03 1.01e+00 1.662658512e+02 1.665220070e+02 5.6e-08 0.40
31 9.8e-05 3.9e-02 6.1e-03 1.01e+00 1.662839130e+02 1.665144133e+02 5.1e-08 0.41
32 8.8e-05 3.5e-02 5.5e-03 1.01e+00 1.663001217e+02 1.665075396e+02 4.6e-08 0.42
33 7.9e-05 3.3e-02 4.9e-03 1.00e+00 1.663146678e+02 1.665013177e+02 4.1e-08 0.43
34 7.1e-05 3.0e-02 4.4e-03 1.00e+00 1.663277223e+02 1.664956861e+02 3.7e-08 0.44
35 6.4e-05 2.8e-02 4.0e-03 1.00e+00 1.663394392e+02 1.664905896e+02 3.3e-08 0.45
36 5.8e-05 2.6e-02 3.6e-03 1.00e+00 1.663499562e+02 1.664859780e+02 3.0e-08 0.46
37 5.2e-05 2.4e-02 3.2e-03 1.00e+00 1.663593971e+02 1.664818059e+02 2.7e-08 0.48
38 4.7e-05 2.2e-02 2.9e-03 1.00e+00 1.663678731e+02 1.664780323e+02 2.4e-08 0.49
39 4.2e-05 2.1e-02 2.6e-03 1.00e+00 1.663754834e+02 1.664746198e+02 2.2e-08 0.50
40 3.8e-05 2.0e-02 2.4e-03 1.00e+00 1.663823172e+02 1.664715346e+02 2.0e-08 0.51
41 3.4e-05 1.8e-02 2.1e-03 1.00e+00 1.663884545e+02 1.664687459e+02 1.8e-08 0.53
42 3.1e-05 1.7e-02 1.9e-03 1.00e+00 1.663939665e+02 1.664662255e+02 1.6e-08 0.54
43 2.8e-05 1.6e-02 1.7e-03 1.00e+00 1.663989176e+02 1.664639481e+02 1.4e-08 0.55
44 2.5e-05 1.6e-02 1.5e-03 1.00e+00 1.664033651e+02 1.664618905e+02 1.3e-08 0.56
45 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664073605e+02 1.664600319e+02 1.2e-08 0.57
46 2.0e-05 1.4e-02 1.3e-03 1.00e+00 1.664109500e+02 1.664583531e+02 1.0e-08 0.59
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664141750e+02 1.664568370e+02 9.4e-09 0.60
48 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664170729e+02 1.664554679e+02 8.5e-09 0.61
49 1.5e-05 1.2e-02 9.1e-04 1.00e+00 1.664196768e+02 1.664542319e+02 7.6e-09 0.62
50 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664220168e+02 1.664531161e+02 6.9e-09 0.63
51 1.2e-05 1.1e-02 7.4e-04 1.00e+00 1.664241199e+02 1.664521090e+02 6.2e-09 0.64
52 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.664260100e+02 1.664512001e+02 5.6e-09 0.65
53 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664277089e+02 1.664503799e+02 5.0e-09 0.66
54 8.7e-06 1.1e-02 5.4e-04 1.00e+00 1.664292361e+02 1.664496400e+02 4.5e-09 0.67
55 7.8e-06 1.0e-02 4.9e-04 1.00e+00 1.664306089e+02 1.664489724e+02 4.0e-09 0.69
56 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318431e+02 1.664483703e+02 3.6e-09 0.70
57 6.3e-06 9.8e-03 3.9e-04 1.00e+00 1.664329528e+02 1.664478273e+02 3.3e-09 0.71
58 5.7e-06 9.6e-03 3.5e-04 1.00e+00 1.664339504e+02 1.664473376e+02 3.0e-09 0.72
59 5.1e-06 9.4e-03 3.2e-04 1.00e+00 1.664348475e+02 1.664468959e+02 2.7e-09 0.74
60 4.6e-06 9.3e-03 2.9e-04 1.00e+00 1.664356541e+02 1.664464978e+02 2.4e-09 0.75
61 4.2e-06 9.1e-03 2.6e-04 1.00e+00 1.664363794e+02 1.664461388e+02 2.2e-09 0.76
62 3.7e-06 9.0e-03 2.3e-04 1.00e+00 1.664370316e+02 1.664458151e+02 1.9e-09 0.77
63 3.4e-06 8.9e-03 2.1e-04 1.00e+00 1.664376181e+02 1.664455233e+02 1.7e-09 0.78
64 3.0e-06 8.8e-03 1.9e-04 1.00e+00 1.664381454e+02 1.664452602e+02 1.6e-09 0.79
65 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386197e+02 1.664450230e+02 1.4e-09 0.81
66 2.5e-06 8.6e-03 1.5e-04 1.00e+00 1.664390463e+02 1.664448093e+02 1.3e-09 0.82
67 2.2e-06 8.5e-03 1.4e-04 1.00e+00 1.664394300e+02 1.664446168e+02 1.1e-09 0.83
68 2.0e-06 8.4e-03 1.2e-04 1.00e+00 1.664397751e+02 1.664444433e+02 1.0e-09 0.84
69 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400856e+02 1.664442871e+02 9.3e-10 0.85
70 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403650e+02 1.664441463e+02 8.3e-10 0.86
71 1.4e-06 8.2e-03 9.0e-05 1.00e+00 1.664406163e+02 1.664440195e+02 7.5e-10 0.88
72 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408424e+02 1.664439053e+02 6.8e-10 0.89
73 1.2e-06 8.1e-03 7.3e-05 1.00e+00 1.664410458e+02 1.664438024e+02 6.1e-10 0.90
74 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412288e+02 1.664437098e+02 5.5e-10 0.91
75 9.5e-07 8.0e-03 5.9e-05 1.00e+00 1.664413934e+02 1.664436264e+02 4.9e-10 0.92
76 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415415e+02 1.664435512e+02 4.4e-10 0.93
77 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416747e+02 1.664434835e+02 4.0e-10 0.94
78 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417946e+02 1.664434225e+02 3.6e-10 0.95
79 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419024e+02 1.664433676e+02 3.2e-10 0.96
80 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664419995e+02 1.664433181e+02 2.9e-10 0.97
81 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420867e+02 1.664432735e+02 2.6e-10 0.98
82 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421652e+02 1.664432333e+02 2.4e-10 0.99
83 4.1e-07 7.8e-03 2.5e-05 1.00e+00 1.664422359e+02 1.664431971e+02 2.1e-10 1.01
84 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422994e+02 1.664431646e+02 1.9e-10 1.02
85 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423566e+02 1.664431352e+02 1.7e-10 1.02
86 3.0e-07 7.7e-03 1.9e-05 1.00e+00 1.664424080e+02 1.664431088e+02 1.5e-10 1.04
87 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424543e+02 1.664430850e+02 1.4e-10 1.05
88 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424959e+02 1.664430636e+02 1.3e-10 1.06
89 2.2e-07 7.7e-03 1.4e-05 9.99e-01 1.664425334e+02 1.664430443e+02 1.1e-10 1.07
90 2.0e-07 7.6e-03 1.2e-05 9.99e-01 1.664425671e+02 1.664430270e+02 1.0e-10 1.09
91 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425975e+02 1.664430114e+02 9.1e-11 1.10
92 1.6e-07 7.6e-03 9.9e-06 1.00e+00 1.664426248e+02 1.664429973e+02 8.2e-11 1.11
93 1.4e-07 7.6e-03 8.9e-06 9.99e-01 1.664426494e+02 1.664429847e+02 7.4e-11 1.12
94 1.3e-07 7.6e-03 8.0e-06 9.99e-01 1.664426715e+02 1.664429733e+02 6.7e-11 1.13
95 1.2e-07 7.6e-03 7.2e-06 1.00e+00 1.664426915e+02 1.664429630e+02 6.0e-11 1.15
96 1.0e-07 7.6e-03 6.5e-06 1.00e+00 1.664427094e+02 1.664429538e+02 5.4e-11 1.16
97 9.4e-08 7.5e-03 5.8e-06 9.99e-01 1.664427256e+02 1.664429455e+02 4.9e-11 1.17
98 8.4e-08 7.5e-03 5.2e-06 9.98e-01 1.664427401e+02 1.664429380e+02 4.4e-11 1.18
99 7.6e-08 7.5e-03 4.7e-06 9.97e-01 1.664427531e+02 1.664429313e+02 3.9e-11 1.19
100 6.8e-08 7.5e-03 4.2e-06 1.00e+00 1.664427649e+02 1.664429253e+02 3.5e-11 1.20
101 6.1e-08 7.5e-03 3.8e-06 1.00e+00 1.664427755e+02 1.664429198e+02 3.2e-11 1.21
102 5.5e-08 7.5e-03 3.4e-06 9.96e-01 1.664427850e+02 1.664429150e+02 2.9e-11 1.23
103 5.0e-08 7.5e-03 3.1e-06 1.00e+00 1.664427936e+02 1.664429105e+02 2.6e-11 1.24
104 4.5e-08 7.5e-03 2.8e-06 1.00e+00 1.664428013e+02 1.664429066e+02 2.3e-11 1.25
105 4.0e-08 6.7e-03 2.5e-06 1.01e+00 1.664428084e+02 1.664429029e+02 2.1e-11 1.26
106 3.6e-08 6.0e-03 2.3e-06 1.01e+00 1.664428148e+02 1.664428996e+02 1.9e-11 1.28
107 3.3e-08 5.4e-03 2.0e-06 9.89e-01 1.664428204e+02 1.664428967e+02 1.7e-11 1.29
108 2.9e-08 4.9e-03 1.8e-06 1.00e+00 1.664428255e+02 1.664428942e+02 1.5e-11 1.30
109 2.6e-08 4.4e-03 1.6e-06 9.82e-01 1.664428300e+02 1.664428919e+02 1.4e-11 1.31
110 2.4e-08 4.0e-03 1.5e-06 1.02e+00 1.664428344e+02 1.664428896e+02 1.3e-11 1.32
111 2.1e-08 3.6e-03 1.3e-06 1.01e+00 1.664428382e+02 1.664428876e+02 1.1e-11 1.33
112 1.9e-08 3.2e-03 1.2e-06 1.01e+00 1.664428415e+02 1.664428859e+02 1.0e-11 1.34
113 1.7e-08 2.9e-03 1.1e-06 1.03e+00 1.664428449e+02 1.664428841e+02 9.3e-12 1.36
114 1.6e-08 2.6e-03 9.7e-07 1.01e+00 1.664428475e+02 1.664428827e+02 8.4e-12 1.37
115 1.4e-08 2.3e-03 8.7e-07 1.03e+00 1.664428502e+02 1.664428813e+02 7.7e-12 1.38
116 1.3e-08 2.1e-03 7.9e-07 1.01e+00 1.664428522e+02 1.664428803e+02 6.9e-12 1.39
117 1.2e-08 1.9e-03 7.1e-07 1.11e+00 1.664428550e+02 1.664428787e+02 6.5e-12 1.41
118 1.1e-08 1.7e-03 6.4e-07 1.12e+00 1.664428575e+02 1.664428774e+02 6.2e-12 1.42
119 1.0e-08 1.5e-03 5.7e-07 9.79e-01 1.664428588e+02 1.664428767e+02 5.6e-12 1.43
120 9.2e-09 1.4e-03 5.2e-07 8.16e-01 1.664428600e+02 1.664428761e+02 5.1e-12 1.44
121 9.0e-09 1.2e-03 4.6e-07 1.05e+00 1.664428613e+02 1.664428754e+02 4.7e-12 1.45
122 8.0e-09 1.1e-03 4.2e-07 9.67e-01 1.664428623e+02 1.664428749e+02 4.2e-12 1.47
123 6.9e-09 1.0e-03 3.8e-07 1.17e+00 1.664428638e+02 1.664428740e+02 4.1e-12 1.48
124 7.9e-09 9.1e-04 3.4e-07 1.17e+00 1.664428651e+02 1.664428734e+02 4.0e-12 1.49
125 7.7e-09 8.2e-04 3.0e-07 1.22e+00 1.664428656e+02 1.664428733e+02 3.6e-12 1.51
126 7.7e-09 7.4e-04 2.7e-07 8.14e-01 1.664428661e+02 1.664428732e+02 3.3e-12 1.52
127 8.2e-09 6.6e-04 2.5e-07 4.59e-01 1.664428666e+02 1.664428729e+02 2.9e-12 1.53
128 6.3e-09 6.0e-04 2.2e-07 9.56e-01 1.664428670e+02 1.664428727e+02 2.6e-12 1.54
129 8.0e-09 5.4e-04 2.0e-07 1.17e+00 1.664428677e+02 1.664428723e+02 2.6e-12 1.55
130 8.4e-09 4.8e-04 1.8e-07 2.22e+00 1.664428678e+02 1.664428726e+02 2.3e-12 1.57
131 9.9e-09 4.3e-04 1.6e-07 1.18e+00 1.664428684e+02 1.664428722e+02 2.3e-12 1.58
132 1.1e-08 3.9e-04 1.5e-07 5.29e-01 1.664428687e+02 1.664428719e+02 2.0e-12 1.59
133 1.4e-08 3.5e-04 1.3e-07 8.98e-01 1.664428689e+02 1.664428718e+02 1.8e-12 1.60
134 1.6e-08 3.4e-04 1.3e-07 1.48e+01 1.664428688e+02 1.664428721e+02 1.7e-12 1.61
135 1.5e-08 3.1e-04 1.2e-07 7.00e-01 1.664428690e+02 1.664428720e+02 1.6e-12 1.61
136 1.4e-08 2.8e-04 1.0e-07 6.08e-01 1.664428692e+02 1.664428719e+02 1.4e-12 1.62
137 9.6e-09 2.5e-04 9.4e-08 7.98e-01 1.664428693e+02 1.664428718e+02 1.3e-12 1.64
138 1.2e-08 2.3e-04 8.8e-08 1.27e+00 1.664428696e+02 1.664428715e+02 1.3e-12 1.65
139 1.3e-08 2.1e-04 7.9e-08 3.52e-01 1.664428697e+02 1.664428713e+02 1.1e-12 1.66
140 2.9e-08 2.1e-04 7.8e-08 2.04e+01 1.664428698e+02 1.664428712e+02 1.1e-12 1.67
141 2.3e-08 1.9e-04 7.0e-08 6.14e-01 1.664428699e+02 1.664428712e+02 9.9e-13 1.68
Interior-point optimizer terminated. Time: 1.68.
Optimizer terminated. Time: 1.68
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286990e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6644287119e+02 Viol. con: 0e+00 var: 7e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.7 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 : 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 -1.280489582e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258746552e+05 3.573539797e+00 4.8e-01 0.06
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197248352e+05 1.020049034e+01 1.9e-01 0.07
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150061325e+05 6.350489251e+01 1.2e-01 0.07
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124090160e+05 2.256520278e+03 1.2e-01 0.08
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.445981356e+04 9.583465318e+03 3.3e-02 0.09
6 3.0e+01 3.8e+01 1.7e+03 -1.95e-01 -4.029045747e+04 1.021238061e+04 1.3e-02 0.10
7 1.8e+01 2.3e+01 9.9e+02 3.95e-01 -2.693738660e+04 6.641922933e+03 7.9e-03 0.11
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.531784172e+04 3.830167109e+03 4.2e-03 0.12
9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.905247850e+03 1.796582048e+03 1.6e-03 0.13
10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.113351107e+03 1.193557199e+03 8.9e-04 0.14
11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.224280657e+03 6.160648565e+02 3.8e-04 0.15
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.207775892e+03 5.913583853e+02 3.7e-04 0.16
13 5.1e-01 6.6e-01 2.8e+01 9.72e-01 -7.035633375e+02 4.268410833e+02 2.3e-04 0.17
14 3.1e-01 4.1e-01 1.8e+01 1.00e+00 -3.505952916e+02 3.411928553e+02 1.4e-04 0.18
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.684706804e+01 2.143811315e+02 5.0e-05 0.19
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.197956363e+01 2.045202452e+02 3.8e-05 0.20
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.510489015e+01 1.869533464e+02 1.9e-05 0.21
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425295638e+02 1.741996416e+02 6.7e-06 0.22
19 6.3e-03 7.2e-02 3.6e-01 1.01e+00 1.556713406e+02 1.695995990e+02 2.9e-06 0.23
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638767385e+02 1.673911449e+02 7.5e-07 0.24
21 8.1e-04 1.1e-01 5.0e-02 9.78e-01 1.650483152e+02 1.669449339e+02 4.1e-07 0.25
22 2.5e-04 1.1e-01 1.6e-02 9.89e-01 1.659978802e+02 1.666011424e+02 1.3e-07 0.27
23 1.2e-04 8.9e-02 7.5e-03 1.01e+00 1.662205898e+02 1.665065125e+02 6.3e-08 0.28
24 4.6e-05 8.6e-02 3.0e-03 1.01e+00 1.663410893e+02 1.664565228e+02 2.6e-08 0.29
25 2.1e-05 7.8e-02 1.4e-03 1.01e+00 1.663845880e+02 1.664381854e+02 1.2e-08 0.31
26 1.9e-05 7.1e-02 1.3e-03 1.00e+00 1.663890965e+02 1.664373621e+02 1.1e-08 0.32
27 1.7e-05 6.5e-02 1.1e-03 1.01e+00 1.663923696e+02 1.664357960e+02 9.7e-09 0.33
28 1.6e-05 5.9e-02 1.0e-03 1.00e+00 1.663953747e+02 1.664344518e+02 8.8e-09 0.35
29 1.4e-05 5.4e-02 9.3e-04 1.00e+00 1.663980642e+02 1.664332274e+02 7.9e-09 0.35
30 1.3e-05 5.0e-02 8.4e-04 1.00e+00 1.664004827e+02 1.664321247e+02 7.1e-09 0.36
31 1.1e-05 4.5e-02 7.5e-04 1.00e+00 1.664026557e+02 1.664311295e+02 6.4e-09 0.38
32 1.0e-05 4.2e-02 6.8e-04 1.00e+00 1.664046088e+02 1.664302319e+02 5.7e-09 0.39
33 9.2e-06 3.8e-02 6.1e-04 1.00e+00 1.664063642e+02 1.664294224e+02 5.2e-09 0.40
34 8.3e-06 3.5e-02 5.5e-04 1.00e+00 1.664079422e+02 1.664286923e+02 4.7e-09 0.41
35 7.5e-06 3.3e-02 5.0e-04 1.00e+00 1.664093606e+02 1.664280340e+02 4.2e-09 0.42
36 6.7e-06 3.0e-02 4.5e-04 1.00e+00 1.664106358e+02 1.664274405e+02 3.8e-09 0.44
37 6.1e-06 2.8e-02 4.0e-04 1.00e+00 1.664117823e+02 1.664269054e+02 3.4e-09 0.45
38 5.5e-06 2.6e-02 3.6e-04 1.00e+00 1.664128132e+02 1.664264231e+02 3.1e-09 0.46
39 4.9e-06 2.4e-02 3.2e-04 1.00e+00 1.664137401e+02 1.664259883e+02 2.8e-09 0.47
40 4.4e-06 2.2e-02 2.9e-04 1.00e+00 1.664145737e+02 1.664255964e+02 2.5e-09 0.48
41 4.0e-06 2.1e-02 2.6e-04 1.00e+00 1.664153232e+02 1.664252432e+02 2.2e-09 0.49
42 3.6e-06 2.0e-02 2.4e-04 1.00e+00 1.664159973e+02 1.664249249e+02 2.0e-09 0.50
43 3.2e-06 1.9e-02 2.1e-04 1.00e+00 1.664166034e+02 1.664246380e+02 1.8e-09 0.51
44 2.9e-06 1.7e-02 1.9e-04 1.00e+00 1.664171485e+02 1.664243794e+02 1.6e-09 0.52
45 2.6e-06 1.6e-02 1.7e-04 1.00e+00 1.664176388e+02 1.664241464e+02 1.5e-09 0.53
46 2.3e-06 1.6e-02 1.6e-04 1.00e+00 1.664180798e+02 1.664239364e+02 1.3e-09 0.54
47 2.1e-06 1.5e-02 1.4e-04 1.00e+00 1.664184764e+02 1.664237473e+02 1.2e-09 0.55
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664188333e+02 1.664235770e+02 1.1e-09 0.56
49 1.7e-06 1.3e-02 1.1e-04 1.00e+00 1.664191544e+02 1.664234236e+02 9.6e-10 0.57
50 1.5e-06 1.3e-02 1.0e-04 1.00e+00 1.664194432e+02 1.664232855e+02 8.6e-10 0.59
51 1.4e-06 1.2e-02 9.2e-05 1.00e+00 1.664197030e+02 1.664231611e+02 7.8e-10 0.60
52 1.2e-06 1.2e-02 8.3e-05 1.00e+00 1.664199368e+02 1.664230490e+02 7.0e-10 0.61
53 1.1e-06 1.1e-02 7.4e-05 1.00e+00 1.664201472e+02 1.664229481e+02 6.3e-10 0.62
54 1.0e-06 1.1e-02 6.7e-05 1.00e+00 1.664203365e+02 1.664228572e+02 5.7e-10 0.63
55 9.1e-07 1.1e-02 6.0e-05 1.00e+00 1.664205067e+02 1.664227754e+02 5.1e-10 0.64
56 8.2e-07 1.0e-02 5.4e-05 1.00e+00 1.664206599e+02 1.664227017e+02 4.6e-10 0.66
57 7.4e-07 1.0e-02 4.9e-05 1.00e+00 1.664207977e+02 1.664226354e+02 4.1e-10 0.67
58 6.6e-07 9.9e-03 4.4e-05 1.00e+00 1.664209217e+02 1.664225756e+02 3.7e-10 0.68
59 6.0e-07 9.7e-03 4.0e-05 1.00e+00 1.664210332e+02 1.664225217e+02 3.3e-10 0.69
60 5.4e-07 9.5e-03 3.6e-05 1.00e+00 1.664211336e+02 1.664224732e+02 3.0e-10 0.70
61 4.8e-07 9.3e-03 3.2e-05 1.00e+00 1.664212238e+02 1.664224295e+02 2.7e-10 0.72
62 4.3e-07 9.1e-03 2.9e-05 1.00e+00 1.664213050e+02 1.664223901e+02 2.4e-10 0.73
63 3.9e-07 9.0e-03 2.6e-05 1.00e+00 1.664213780e+02 1.664223547e+02 2.2e-10 0.74
64 3.5e-07 8.9e-03 2.3e-05 1.00e+00 1.664214437e+02 1.664223227e+02 2.0e-10 0.75
65 3.2e-07 8.7e-03 2.1e-05 1.00e+00 1.664215028e+02 1.664222939e+02 1.8e-10 0.77
66 2.9e-07 8.6e-03 1.9e-05 1.00e+00 1.664215560e+02 1.664222680e+02 1.6e-10 0.78
67 2.6e-07 8.5e-03 1.7e-05 1.00e+00 1.664216039e+02 1.664222446e+02 1.4e-10 0.79
68 2.3e-07 8.4e-03 1.5e-05 9.99e-01 1.664216469e+02 1.664222236e+02 1.3e-10 0.80
69 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664216857e+02 1.664222046e+02 1.2e-10 0.81
70 1.9e-07 8.3e-03 1.2e-05 1.00e+00 1.664217205e+02 1.664221876e+02 1.1e-10 0.83
71 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217519e+02 1.664221722e+02 9.5e-11 0.84
72 1.5e-07 8.1e-03 1.0e-05 1.00e+00 1.664217801e+02 1.664221584e+02 8.5e-11 0.85
73 1.4e-07 8.1e-03 9.0e-06 9.98e-01 1.664218055e+02 1.664221460e+02 7.7e-11 0.86
74 1.2e-07 8.0e-03 8.1e-06 1.00e+00 1.664218284e+02 1.664221348e+02 6.9e-11 0.87
75 1.1e-07 8.0e-03 7.3e-06 1.00e+00 1.664218489e+02 1.664221247e+02 6.2e-11 0.89
76 9.9e-08 7.9e-03 6.6e-06 9.97e-01 1.664218674e+02 1.664221157e+02 5.6e-11 0.90
77 9.0e-08 7.9e-03 5.9e-06 1.00e+00 1.664218841e+02 1.664221075e+02 5.0e-11 0.91
78 8.1e-08 7.8e-03 5.3e-06 9.96e-01 1.664218991e+02 1.664221002e+02 4.5e-11 0.92
79 7.3e-08 7.8e-03 4.8e-06 1.00e+00 1.664219126e+02 1.664220936e+02 4.1e-11 0.93
80 6.5e-08 7.8e-03 4.3e-06 9.91e-01 1.664219247e+02 1.664220877e+02 3.7e-11 0.94
81 5.9e-08 7.0e-03 3.9e-06 1.01e+00 1.664219358e+02 1.664220822e+02 3.3e-11 0.94
82 5.3e-08 6.3e-03 3.5e-06 9.96e-01 1.664219456e+02 1.664220774e+02 3.0e-11 0.96
83 4.8e-08 5.7e-03 3.2e-06 9.91e-01 1.664219545e+02 1.664220731e+02 2.7e-11 0.97
84 4.3e-08 5.1e-03 2.8e-06 9.99e-01 1.664219624e+02 1.664220692e+02 2.4e-11 0.97
85 3.9e-08 4.6e-03 2.6e-06 9.96e-01 1.664219696e+02 1.664220657e+02 2.2e-11 0.98
86 3.5e-08 4.1e-03 2.3e-06 9.93e-01 1.664219760e+02 1.664220626e+02 2.0e-11 0.99
87 3.1e-08 3.7e-03 2.1e-06 1.00e+00 1.664219819e+02 1.664220597e+02 1.8e-11 1.00
88 2.8e-08 3.3e-03 1.9e-06 9.96e-01 1.664219871e+02 1.664220571e+02 1.6e-11 1.02
89 2.5e-08 3.0e-03 1.7e-06 9.96e-01 1.664219918e+02 1.664220548e+02 1.4e-11 1.03
90 2.3e-08 2.7e-03 1.5e-06 9.99e-01 1.664219960e+02 1.664220527e+02 1.3e-11 1.04
91 2.0e-08 2.4e-03 1.4e-06 9.68e-01 1.664219998e+02 1.664220509e+02 1.2e-11 1.05
92 1.8e-08 2.2e-03 1.2e-06 1.05e+00 1.664220040e+02 1.664220487e+02 1.1e-11 1.06
93 1.7e-08 2.0e-03 1.1e-06 1.04e+00 1.664220075e+02 1.664220469e+02 9.8e-12 1.07
94 1.5e-08 1.8e-03 9.9e-07 1.04e+00 1.664220107e+02 1.664220453e+02 9.0e-12 1.08
95 1.3e-08 1.6e-03 8.9e-07 1.01e+00 1.664220131e+02 1.664220441e+02 8.1e-12 1.10
96 1.2e-08 1.4e-03 8.0e-07 9.66e-01 1.664220152e+02 1.664220432e+02 7.3e-12 1.11
97 1.1e-08 1.3e-03 7.2e-07 9.93e-01 1.664220171e+02 1.664220423e+02 6.6e-12 1.12
98 9.8e-09 1.2e-03 6.5e-07 1.06e+00 1.664220192e+02 1.664220411e+02 6.1e-12 1.13
99 8.9e-09 1.0e-03 5.8e-07 9.70e-01 1.664220207e+02 1.664220404e+02 5.5e-12 1.14
100 8.0e-09 9.4e-04 5.3e-07 9.83e-01 1.664220220e+02 1.664220398e+02 4.9e-12 1.16
101 7.2e-09 8.5e-04 4.7e-07 9.64e-01 1.664220232e+02 1.664220393e+02 4.4e-12 1.17
102 6.5e-09 7.6e-04 4.3e-07 9.95e-01 1.664220243e+02 1.664220387e+02 4.0e-12 1.18
103 5.9e-09 6.9e-04 3.8e-07 9.05e-01 1.664220253e+02 1.664220383e+02 3.6e-12 1.19
104 5.3e-09 6.2e-04 3.4e-07 9.60e-01 1.664220261e+02 1.664220379e+02 3.2e-12 1.20
105 4.8e-09 5.6e-04 3.1e-07 1.04e+00 1.664220271e+02 1.664220374e+02 3.0e-12 1.21
106 4.3e-09 5.0e-04 2.8e-07 1.10e+00 1.664220281e+02 1.664220369e+02 2.8e-12 1.22
107 3.9e-09 4.5e-04 2.5e-07 9.76e-01 1.664220287e+02 1.664220366e+02 2.5e-12 1.23
108 3.6e-09 4.1e-04 2.3e-07 9.27e-01 1.664220292e+02 1.664220363e+02 2.3e-12 1.24
109 2.5e-09 2.4e-05 1.3e-08 9.08e-01 1.664220338e+02 1.664220343e+02 2.2e-13 1.25
Interior-point optimizer terminated. Time: 1.25.
Optimizer terminated. Time: 1.26
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203382e+02 Viol. con: 6e-08 var: 0e+00
Dual. obj: 1.6642203426e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.28 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 -1.280480912e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258735656e+05 3.573328589e+00 4.8e-01 0.05
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197005131e+05 1.021705282e+01 1.9e-01 0.06
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.149813368e+05 6.382289799e+01 1.2e-01 0.07
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.123855395e+05 2.255173227e+03 1.2e-01 0.08
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.423597001e+04 9.613750849e+03 3.3e-02 0.09
6 3.0e+01 3.8e+01 1.6e+03 -1.92e-01 -4.018137163e+04 1.017431221e+04 1.3e-02 0.10
7 1.8e+01 2.3e+01 9.9e+02 3.96e-01 -2.694062224e+04 6.639028471e+03 7.9e-03 0.11
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.520627814e+04 3.808639681e+03 4.1e-03 0.12
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.318877991e+03 1.679782435e+03 1.4e-03 0.13
10 1.6e+00 2.0e+00 8.9e+01 9.54e-01 -2.417669987e+03 1.055151695e+03 7.1e-04 0.14
11 9.5e-01 1.2e+00 5.3e+01 9.86e-01 -1.370547876e+03 7.033861492e+02 4.2e-04 0.16
12 8.6e-01 1.1e+00 4.8e+01 9.64e-01 -1.258993596e+03 6.421003817e+02 3.8e-04 0.17
13 4.8e-01 6.1e-01 2.7e+01 9.77e-01 -6.393568695e+02 4.225782282e+02 2.1e-04 0.18
14 2.6e-01 3.4e-01 1.4e+01 1.00e+00 -2.623836385e+02 3.061905465e+02 1.2e-04 0.19
15 9.2e-02 1.5e-01 5.3e+00 1.00e+00 -2.393896155e+00 2.056344757e+02 4.3e-05 0.20
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.576520281e+01 2.083367035e+02 4.0e-05 0.22
17 6.0e-02 9.5e-02 3.4e+00 1.02e+00 6.107192832e+01 1.952043748e+02 2.8e-05 0.23
18 3.4e-02 7.3e-02 1.9e+00 1.02e+00 1.081917050e+02 1.827215886e+02 1.6e-05 0.24
19 9.3e-03 1.7e-01 5.4e-01 1.02e+00 1.512031838e+02 1.719127757e+02 4.3e-06 0.25
20 3.4e-03 2.1e-01 2.0e-01 1.01e+00 1.605107281e+02 1.682876134e+02 1.7e-06 0.26
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642779309e+02 1.671863626e+02 6.2e-07 0.28
22 8.5e-04 1.0e-01 5.1e-02 9.84e-01 1.649813589e+02 1.669397457e+02 4.2e-07 0.29
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659710784e+02 1.665859663e+02 1.3e-07 0.30
24 9.4e-05 1.0e-01 6.0e-03 1.01e+00 1.662464735e+02 1.664756804e+02 5.1e-08 0.31
25 3.7e-05 9.6e-02 2.4e-03 1.01e+00 1.663445754e+02 1.664349667e+02 2.0e-08 0.32
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663787294e+02 1.664206000e+02 9.5e-09 0.33
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663822227e+02 1.664199216e+02 8.5e-09 0.34
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663847893e+02 1.664187111e+02 7.7e-09 0.35
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663871430e+02 1.664176672e+02 6.9e-09 0.36
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663892512e+02 1.664167186e+02 6.2e-09 0.37
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663911471e+02 1.664158643e+02 5.6e-09 0.38
32 9.0e-06 4.7e-02 5.9e-04 1.00e+00 1.663928512e+02 1.664150938e+02 5.0e-09 0.39
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663943832e+02 1.664143991e+02 4.5e-09 0.40
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663957605e+02 1.664137728e+02 4.1e-09 0.41
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969988e+02 1.664132083e+02 3.7e-09 0.43
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663981123e+02 1.664126996e+02 3.3e-09 0.44
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663991135e+02 1.664122411e+02 3.0e-09 0.45
38 4.8e-06 2.9e-02 3.1e-04 1.00e+00 1.664000139e+02 1.664118279e+02 2.7e-09 0.46
39 4.3e-06 2.7e-02 2.8e-04 1.00e+00 1.664008236e+02 1.664114555e+02 2.4e-09 0.47
40 3.9e-06 2.5e-02 2.5e-04 1.00e+00 1.664015518e+02 1.664111199e+02 2.2e-09 0.48
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664022066e+02 1.664108175e+02 2.0e-09 0.49
42 3.1e-06 2.1e-02 2.1e-04 1.00e+00 1.664027955e+02 1.664105450e+02 1.8e-09 0.49
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664033252e+02 1.664102994e+02 1.6e-09 0.51
44 2.5e-06 1.9e-02 1.7e-04 1.00e+00 1.664038016e+02 1.664100781e+02 1.4e-09 0.52
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042301e+02 1.664098789e+02 1.3e-09 0.53
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664046156e+02 1.664096994e+02 1.2e-09 0.54
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049624e+02 1.664095377e+02 1.0e-09 0.54
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052745e+02 1.664093921e+02 9.3e-10 0.56
49 1.5e-06 1.4e-02 9.8e-05 1.00e+00 1.664055552e+02 1.664092610e+02 8.4e-10 0.57
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664058078e+02 1.664091430e+02 7.6e-10 0.58
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060351e+02 1.664090367e+02 6.8e-10 0.59
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062395e+02 1.664089410e+02 6.1e-10 0.60
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064235e+02 1.664088547e+02 5.5e-10 0.62
54 8.9e-07 1.2e-02 5.8e-05 1.00e+00 1.664065890e+02 1.664087771e+02 5.0e-10 0.63
55 8.0e-07 1.1e-02 5.2e-05 1.00e+00 1.664067379e+02 1.664087072e+02 4.5e-10 0.64
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068719e+02 1.664086443e+02 4.0e-10 0.65
57 6.5e-07 1.0e-02 4.2e-05 1.00e+00 1.664069924e+02 1.664085876e+02 3.6e-10 0.66
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664071008e+02 1.664085365e+02 3.3e-10 0.68
59 5.2e-07 9.9e-03 3.4e-05 1.00e+00 1.664071983e+02 1.664084904e+02 2.9e-10 0.69
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072861e+02 1.664084489e+02 2.6e-10 0.70
61 4.2e-07 9.5e-03 2.8e-05 1.00e+00 1.664073650e+02 1.664084115e+02 2.4e-10 0.71
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074359e+02 1.664083779e+02 2.1e-10 0.72
63 3.4e-07 9.1e-03 2.3e-05 1.00e+00 1.664074998e+02 1.664083475e+02 1.9e-10 0.73
64 3.1e-07 9.0e-03 2.0e-05 9.99e-01 1.664075572e+02 1.664083202e+02 1.7e-10 0.75
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076089e+02 1.664082956e+02 1.6e-10 0.76
66 2.5e-07 8.7e-03 1.6e-05 1.00e+00 1.664076554e+02 1.664082734e+02 1.4e-10 0.77
67 2.3e-07 8.6e-03 1.5e-05 1.00e+00 1.664076973e+02 1.664082535e+02 1.3e-10 0.78
68 2.0e-07 8.5e-03 1.3e-05 1.00e+00 1.664077349e+02 1.664082355e+02 1.1e-10 0.79
69 1.8e-07 8.4e-03 1.2e-05 1.00e+00 1.664077688e+02 1.664082193e+02 1.0e-10 0.81
70 1.6e-07 8.3e-03 1.1e-05 9.99e-01 1.664077993e+02 1.664082047e+02 9.2e-11 0.82
71 1.5e-07 8.2e-03 9.7e-06 1.00e+00 1.664078268e+02 1.664081915e+02 8.3e-11 0.83
72 1.3e-07 8.2e-03 8.7e-06 1.00e+00 1.664078514e+02 1.664081797e+02 7.5e-11 0.84
73 1.2e-07 8.1e-03 7.9e-06 1.00e+00 1.664078737e+02 1.664081691e+02 6.7e-11 0.85
74 1.1e-07 8.0e-03 7.1e-06 9.97e-01 1.664078936e+02 1.664081596e+02 6.0e-11 0.87
75 9.7e-08 8.0e-03 6.4e-06 9.97e-01 1.664079116e+02 1.664081510e+02 5.4e-11 0.88
76 8.7e-08 7.9e-03 5.7e-06 1.00e+00 1.664079278e+02 1.664081432e+02 4.9e-11 0.89
77 7.9e-08 7.9e-03 5.2e-06 1.00e+00 1.664079424e+02 1.664081362e+02 4.4e-11 0.90
78 7.1e-08 7.9e-03 4.6e-06 1.00e+00 1.664079556e+02 1.664081299e+02 4.0e-11 0.91
79 6.4e-08 7.8e-03 4.2e-06 1.00e+00 1.664079674e+02 1.664081242e+02 3.6e-11 0.92
80 5.7e-08 7.8e-03 3.8e-06 9.95e-01 1.664079780e+02 1.664081192e+02 3.2e-11 0.93
81 5.2e-08 7.8e-03 3.4e-06 1.00e+00 1.664079875e+02 1.664081146e+02 2.9e-11 0.94
82 4.6e-08 7.0e-03 3.0e-06 1.01e+00 1.664079966e+02 1.664081102e+02 2.6e-11 0.95
83 4.2e-08 6.3e-03 2.7e-06 1.01e+00 1.664080044e+02 1.664081064e+02 2.4e-11 0.96
84 3.8e-08 5.7e-03 2.5e-06 1.00e+00 1.664080113e+02 1.664081031e+02 2.1e-11 0.97
85 3.4e-08 5.1e-03 2.2e-06 9.94e-01 1.664080175e+02 1.664081001e+02 1.9e-11 0.98
86 3.0e-08 4.6e-03 2.0e-06 1.02e+00 1.664080235e+02 1.664080972e+02 1.7e-11 0.99
87 2.7e-08 4.1e-03 1.8e-06 9.94e-01 1.664080285e+02 1.664080948e+02 1.6e-11 1.00
88 2.5e-08 3.7e-03 1.6e-06 9.97e-01 1.664080330e+02 1.664080927e+02 1.4e-11 1.01
89 2.2e-08 3.3e-03 1.5e-06 1.02e+00 1.664080373e+02 1.664080906e+02 1.3e-11 1.02
90 2.0e-08 3.0e-03 1.3e-06 9.99e-01 1.664080409e+02 1.664080889e+02 1.1e-11 1.03
91 1.8e-08 2.7e-03 1.2e-06 9.85e-01 1.664080441e+02 1.664080873e+02 1.0e-11 1.04
92 1.6e-08 2.4e-03 1.1e-06 9.99e-01 1.664080470e+02 1.664080859e+02 9.3e-12 1.05
93 1.5e-08 2.2e-03 9.6e-07 1.02e+00 1.664080499e+02 1.664080845e+02 8.4e-12 1.06
94 1.3e-08 2.0e-03 8.6e-07 9.99e-01 1.664080523e+02 1.664080834e+02 7.6e-12 1.08
95 1.2e-08 1.8e-03 7.7e-07 9.64e-01 1.664080544e+02 1.664080825e+02 6.8e-12 1.09
96 1.1e-08 1.6e-03 7.0e-07 1.01e+00 1.664080563e+02 1.664080815e+02 6.2e-12 1.10
97 9.6e-09 1.4e-03 6.3e-07 1.06e+00 1.664080585e+02 1.664080804e+02 5.7e-12 1.11
98 8.7e-09 1.3e-03 5.6e-07 9.53e-01 1.664080600e+02 1.664080797e+02 5.2e-12 1.13
99 7.9e-09 1.2e-03 5.1e-07 9.21e-01 1.664080613e+02 1.664080791e+02 4.6e-12 1.14
100 7.1e-09 1.0e-03 4.6e-07 8.79e-01 1.664080625e+02 1.664080786e+02 4.2e-12 1.15
101 6.5e-09 9.4e-04 4.1e-07 1.11e+00 1.664080641e+02 1.664080777e+02 4.0e-12 1.16
102 6.0e-09 8.5e-04 3.7e-07 1.12e+00 1.664080655e+02 1.664080770e+02 3.8e-12 1.17
103 5.5e-09 7.7e-04 3.3e-07 9.25e-01 1.664080663e+02 1.664080766e+02 3.4e-12 1.19
104 4.8e-09 6.9e-04 3.0e-07 8.28e-01 1.664080670e+02 1.664080764e+02 3.1e-12 1.20
105 4.4e-09 6.2e-04 2.7e-07 1.06e+00 1.664080678e+02 1.664080760e+02 2.9e-12 1.21
106 4.0e-09 5.6e-04 2.4e-07 9.39e-01 1.664080684e+02 1.664080757e+02 2.6e-12 1.22
107 3.7e-09 5.0e-04 2.2e-07 7.72e-01 1.664080688e+02 1.664080755e+02 2.3e-12 1.23
108 3.4e-09 4.5e-04 2.0e-07 1.11e+00 1.664080695e+02 1.664080752e+02 2.2e-12 1.24
109 3.1e-09 4.1e-04 1.8e-07 1.30e+00 1.664080699e+02 1.664080749e+02 2.0e-12 1.26
110 2.9e-09 3.7e-04 1.6e-07 1.14e+00 1.664080705e+02 1.664080746e+02 1.9e-12 1.27
111 2.8e-09 4.1e-05 1.8e-08 8.42e-01 1.664080731e+02 1.664080736e+02 3.2e-13 1.28
Interior-point optimizer terminated. Time: 1.28.
Optimizer terminated. Time: 1.29
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807310e+02 Viol. con: 7e-08 var: 0e+00
Dual. obj: 1.6640807360e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.31 seconds.
Solving took 9 GP solves and 21 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: 1.495740567473125e+110 vs 1.49570299885e+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: 3.705370102428147e+72 vs 3.70524763398e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682615]
Total Aircraft Weight Percent Diff: [-21.48057175]
Engine Weight Percent Diff: -56.27818382443484
Fuselage Weight Percent Diff: -0.8697365233362143
Payload Weight Percent Diff: [-0.04003562]
VT Weight Percent Diff: -8.607956408043577
HT Weight Percent Diff: -93.2332782038732
Wing Weight Percent Diff: 8.267399834084014
WING DIFFERENCES
Wing Span Percent Diff: -0.02999260002310815
Wing Area Percent Diff: 32.90021942318518
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.48948602419769
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022350998952463
VT Area Percent Diff: -60.38684504395107
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54734115]
L/D Percent Diff: [24.01021117]
Nacelle Cd Percent Diff: [-94.27642674]
HT Cd Percent Diff: [-80.76937604] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00309457] dimensionless
Wing Cd percent Diff: [-14.22931696]
Induced Drag Cd Percent Diff: [1.21939978]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57036301]
FUSELAGE DIFFERENCES
Weight of HB material: -38.360667577092634
Weight of VB material: 87.81683685029643
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.7126053]