![[Jenkins]](/csi/static/36dbc502/images/svgs/logo.svg){kind=logo}
Passed
gpkit.tests.from_paths.TestFiles.test_SPaircraft_py_mosek (from gpkit.tests.from_paths.TestFiles-20190829121927)
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 : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 937
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 937
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 768
Optimizer - Cones : 0
Optimizer - Scalar variables : 3438 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.20 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285824792e+05 2.000000000e+00 1.0e+00 0.23
1 1.1e+03 1.5e+03 6.3e+04 -9.71e-01 -1.265132514e+05 3.611589420e+00 4.9e-01 0.28
2 4.1e+02 5.4e+02 2.3e+04 -9.38e-01 -1.199666169e+05 1.064041138e+01 1.8e-01 0.32
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.156309126e+05 6.812702963e+01 1.3e-01 0.36
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.131522901e+05 2.113211995e+03 1.3e-01 0.40
5 8.8e+01 1.2e+02 5.0e+03 -7.53e-01 -8.096538237e+04 8.430204037e+03 3.9e-02 0.44
6 3.7e+01 4.8e+01 2.1e+03 -2.92e-01 -4.806295568e+04 1.015705753e+04 1.6e-02 0.48
7 2.1e+01 2.8e+01 1.2e+03 2.53e-01 -3.183959973e+04 7.147574260e+03 9.5e-03 0.53
8 9.4e+00 1.2e+01 5.3e+02 5.37e-01 -1.516213576e+04 4.167067597e+03 4.2e-03 0.57
9 5.5e+00 7.2e+00 3.1e+02 8.14e-01 -8.873654488e+03 2.833843752e+03 2.5e-03 0.59
10 1.3e+00 1.8e+00 7.7e+01 9.07e-01 -2.032976954e+03 9.282385087e+02 6.1e-04 0.62
11 7.0e-01 9.2e-01 4.0e+01 9.94e-01 -8.350002142e+02 7.206024908e+02 3.2e-04 0.65
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.846306076e+02 5.632460213e+02 2.1e-04 0.69
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.148957258e+02 4.857769751e+02 1.6e-04 0.74
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.857417116e+01 3.656902710e+02 7.9e-05 0.78
15 5.5e-02 1.5e-01 3.3e+00 9.94e-01 1.620485362e+02 2.901550655e+02 2.6e-05 0.82
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.996394651e+02 2.746181590e+02 1.6e-05 0.84
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.444824012e+02 2.572405213e+02 2.8e-06 0.88
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509288752e+02 2.546905409e+02 8.3e-07 0.91
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527800442e+02 2.540213968e+02 2.8e-07 0.94
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532857302e+02 2.538354980e+02 1.2e-07 0.98
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533271035e+02 2.538219096e+02 1.1e-07 1.01
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533631908e+02 2.538084914e+02 1.0e-07 1.04
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533957124e+02 2.537964664e+02 9.0e-08 1.07
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534249555e+02 2.537856200e+02 8.1e-08 1.11
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534512557e+02 2.537758421e+02 7.3e-08 1.14
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534749084e+02 2.537670264e+02 6.6e-08 1.17
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534961824e+02 2.537590805e+02 5.9e-08 1.21
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535153179e+02 2.537519196e+02 5.3e-08 1.24
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535325308e+02 2.537454669e+02 4.8e-08 1.27
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535480148e+02 2.537396530e+02 4.3e-08 1.30
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535619442e+02 2.537344150e+02 3.9e-08 1.34
32 5.9e-05 2.9e-02 4.0e-03 1.00e+00 2.535744754e+02 2.537296963e+02 3.5e-08 1.37
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535857490e+02 2.537254456e+02 3.1e-08 1.41
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535958915e+02 2.537216167e+02 2.8e-08 1.43
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536050166e+02 2.537181679e+02 2.5e-08 1.46
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536132264e+02 2.537150615e+02 2.3e-08 1.49
37 3.5e-05 2.0e-02 2.4e-03 1.00e+00 2.536206130e+02 2.537122637e+02 2.1e-08 1.52
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536272589e+02 2.537097440e+02 1.9e-08 1.55
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536332386e+02 2.537074747e+02 1.7e-08 1.58
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536386189e+02 2.537054310e+02 1.5e-08 1.62
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536434601e+02 2.537035907e+02 1.4e-08 1.65
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536478161e+02 2.537019335e+02 1.2e-08 1.68
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536517357e+02 2.537004413e+02 1.1e-08 1.72
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536552627e+02 2.536990976e+02 9.8e-09 1.75
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536584365e+02 2.536978878e+02 8.9e-09 1.78
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536612924e+02 2.536967986e+02 8.0e-09 1.81
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536638623e+02 2.536958179e+02 7.2e-09 1.85
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536661750e+02 2.536949350e+02 6.5e-09 1.89
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536682562e+02 2.536941402e+02 5.8e-09 1.93
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536701290e+02 2.536934247e+02 5.2e-09 1.97
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536718144e+02 2.536927806e+02 4.7e-09 2.01
52 7.2e-06 1.0e-02 4.9e-04 1.00e+00 2.536733312e+02 2.536922007e+02 4.2e-09 2.05
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536746961e+02 2.536916788e+02 3.8e-09 2.09
54 5.9e-06 9.6e-03 3.9e-04 1.00e+00 2.536759245e+02 2.536912089e+02 3.4e-09 2.14
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770300e+02 2.536907860e+02 3.1e-09 2.18
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780248e+02 2.536904052e+02 2.8e-09 2.22
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789201e+02 2.536900625e+02 2.5e-09 2.26
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797258e+02 2.536897540e+02 2.3e-09 2.30
59 3.5e-06 8.7e-03 2.3e-04 1.00e+00 2.536804509e+02 2.536894763e+02 2.0e-09 2.33
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811034e+02 2.536892263e+02 1.8e-09 2.36
61 1.9e-06 5.1e-03 1.2e-04 1.00e+00 2.536834796e+02 2.536883154e+02 1.1e-09 2.39
62 1.7e-06 5.1e-03 1.1e-04 1.00e+00 2.536837953e+02 2.536881947e+02 9.9e-10 2.42
63 1.6e-06 5.1e-03 1.1e-04 1.00e+00 2.536840062e+02 2.536881138e+02 9.2e-10 2.45
64 5.7e-07 1.9e-03 3.9e-05 1.00e+00 2.536858903e+02 2.536873911e+02 3.4e-10 2.49
65 5.6e-07 1.8e-03 3.8e-05 1.00e+00 2.536859113e+02 2.536873831e+02 3.3e-10 2.53
66 5.1e-07 1.7e-03 3.4e-05 1.00e+00 2.536860074e+02 2.536873464e+02 3.0e-10 2.56
67 4.9e-07 1.6e-03 3.3e-05 1.00e+00 2.536860500e+02 2.536873300e+02 2.9e-10 2.60
68 4.5e-07 1.5e-03 3.0e-05 1.00e+00 2.536861253e+02 2.536873011e+02 2.6e-10 2.64
69 4.4e-07 1.5e-03 3.0e-05 1.00e+00 2.536861418e+02 2.536872948e+02 2.6e-10 2.67
70 4.2e-07 1.4e-03 2.8e-05 1.00e+00 2.536861784e+02 2.536872807e+02 2.5e-10 2.71
71 4.1e-07 1.4e-03 2.8e-05 1.00e+00 2.536861939e+02 2.536872748e+02 2.4e-10 2.75
72 3.7e-07 1.3e-03 2.5e-05 1.00e+00 2.536862720e+02 2.536872448e+02 2.2e-10 2.80
73 3.4e-07 1.2e-03 2.3e-05 1.00e+00 2.536863292e+02 2.536872228e+02 2.0e-10 2.84
74 3.4e-07 1.1e-03 2.3e-05 1.00e+00 2.536863317e+02 2.536872219e+02 2.0e-10 2.88
75 3.1e-07 1.0e-03 2.1e-05 1.00e+00 2.536863928e+02 2.536871984e+02 1.8e-10 2.92
76 2.8e-07 9.4e-04 1.9e-05 1.00e+00 2.536864510e+02 2.536871760e+02 1.6e-10 2.96
77 2.5e-07 8.5e-04 1.7e-05 1.00e+00 2.536865007e+02 2.536871569e+02 1.5e-10 2.99
78 2.3e-07 7.7e-04 1.5e-05 1.00e+00 2.536865435e+02 2.536871405e+02 1.3e-10 3.04
79 2.1e-07 7.2e-04 1.4e-05 1.00e+00 2.536865721e+02 2.536871295e+02 1.3e-10 3.08
80 2.1e-07 7.2e-04 1.4e-05 1.00e+00 2.536865736e+02 2.536871289e+02 1.2e-10 3.11
81 1.9e-07 6.5e-04 1.3e-05 1.00e+00 2.536866117e+02 2.536871143e+02 1.1e-10 3.15
82 1.7e-07 5.9e-04 1.2e-05 1.00e+00 2.536866462e+02 2.536871010e+02 1.0e-10 3.19
83 1.6e-07 5.3e-04 1.1e-05 1.00e+00 2.536866791e+02 2.536870884e+02 9.2e-11 3.22
84 1.4e-07 4.8e-04 9.6e-06 1.00e+00 2.536867058e+02 2.536870781e+02 8.4e-11 3.26
85 1.3e-07 4.3e-04 8.6e-06 1.00e+00 2.536867327e+02 2.536870678e+02 7.5e-11 3.29
86 1.2e-07 3.9e-04 7.8e-06 1.00e+00 2.536867545e+02 2.536870594e+02 6.9e-11 3.32
87 1.2e-07 3.9e-04 7.8e-06 1.00e+00 2.536867553e+02 2.536870591e+02 6.8e-11 3.35
88 1.0e-07 3.5e-04 7.0e-06 1.00e+00 2.536867773e+02 2.536870507e+02 6.1e-11 3.38
89 9.5e-08 3.2e-04 6.4e-06 1.00e+00 2.536867960e+02 2.536870434e+02 5.6e-11 3.41
90 8.7e-08 2.9e-04 5.8e-06 1.00e+00 2.536868106e+02 2.536870378e+02 5.1e-11 3.44
91 7.8e-08 2.7e-04 5.3e-06 1.00e+00 2.536868270e+02 2.536870315e+02 4.6e-11 3.47
92 7.8e-08 2.7e-04 5.2e-06 1.00e+00 2.536868275e+02 2.536870313e+02 4.6e-11 3.51
93 7.8e-08 2.6e-04 5.2e-06 1.00e+00 2.536868281e+02 2.536870311e+02 4.6e-11 3.55
94 7.7e-08 2.6e-04 5.2e-06 1.00e+00 2.536868287e+02 2.536870309e+02 4.5e-11 3.58
95 7.1e-08 2.4e-04 4.8e-06 1.00e+00 2.536868405e+02 2.536870263e+02 4.2e-11 3.62
96 6.8e-08 2.3e-04 4.6e-06 1.00e+00 2.536868465e+02 2.536870240e+02 4.0e-11 3.65
97 6.2e-08 2.1e-04 4.2e-06 1.00e+00 2.536868569e+02 2.536870200e+02 3.7e-11 3.69
98 6.2e-08 2.1e-04 4.2e-06 1.00e+00 2.536868569e+02 2.536870200e+02 3.7e-11 3.74
99 5.6e-08 1.9e-04 3.8e-06 1.00e+00 2.536868681e+02 2.536870157e+02 3.3e-11 3.77
100 5.6e-08 1.9e-04 3.8e-06 1.00e+00 2.536868681e+02 2.536870157e+02 3.3e-11 3.80
101 5.1e-08 1.7e-04 3.4e-06 1.00e+00 2.536868788e+02 2.536870116e+02 3.0e-11 3.83
102 4.6e-08 1.6e-04 3.1e-06 9.99e-01 2.536868884e+02 2.536870079e+02 2.7e-11 3.86
103 4.1e-08 1.4e-04 2.8e-06 1.00e+00 2.536868970e+02 2.536870046e+02 2.4e-11 3.89
104 3.7e-08 1.3e-04 2.5e-06 1.00e+00 2.536869040e+02 2.536870019e+02 2.2e-11 3.92
105 3.7e-08 1.3e-04 2.5e-06 1.00e+00 2.536869040e+02 2.536870019e+02 2.2e-11 3.95
106 3.7e-08 1.3e-04 2.5e-06 1.00e+00 2.536869040e+02 2.536870019e+02 2.2e-11 3.98
107 3.4e-08 1.2e-04 2.3e-06 9.99e-01 2.536869111e+02 2.536869992e+02 2.0e-11 4.02
108 3.0e-08 1.0e-04 2.0e-06 9.99e-01 2.536869171e+02 2.536869968e+02 1.8e-11 4.06
109 2.8e-08 9.5e-05 1.9e-06 1.00e+00 2.536869223e+02 2.536869948e+02 1.6e-11 4.09
110 2.5e-08 8.6e-05 1.7e-06 1.00e+00 2.536869273e+02 2.536869929e+02 1.5e-11 4.14
111 2.3e-08 7.8e-05 1.5e-06 9.99e-01 2.536869318e+02 2.536869912e+02 1.3e-11 4.17
112 2.3e-08 7.8e-05 1.5e-06 1.00e+00 2.536869318e+02 2.536869912e+02 1.3e-11 4.21
113 2.1e-08 7.1e-05 1.4e-06 1.00e+00 2.536869357e+02 2.536869897e+02 1.2e-11 4.24
114 1.9e-08 6.6e-05 1.3e-06 1.00e+00 2.536869382e+02 2.536869887e+02 1.1e-11 4.28
115 1.9e-08 6.5e-05 1.3e-06 1.00e+00 2.536869390e+02 2.536869884e+02 1.1e-11 4.32
116 1.9e-08 6.5e-05 1.3e-06 1.00e+00 2.536869390e+02 2.536869884e+02 1.1e-11 4.36
117 1.9e-08 6.4e-05 1.2e-06 9.98e-01 2.536869396e+02 2.536869881e+02 1.1e-11 4.41
118 1.8e-08 6.2e-05 1.2e-06 1.00e+00 2.536869403e+02 2.536869879e+02 1.1e-11 4.45
119 1.7e-08 5.7e-05 1.1e-06 1.00e+00 2.536869434e+02 2.536869867e+02 9.7e-12 4.49
120 1.6e-08 5.6e-05 1.1e-06 1.00e+00 2.536869435e+02 2.536869866e+02 9.7e-12 4.53
121 1.6e-08 5.6e-05 1.1e-06 1.00e+00 2.536869435e+02 2.536869866e+02 9.7e-12 4.56
122 1.5e-08 5.1e-05 1.0e-06 9.99e-01 2.536869465e+02 2.536869855e+02 8.8e-12 4.59
123 1.3e-08 4.6e-05 9.1e-07 1.00e+00 2.536869492e+02 2.536869845e+02 7.9e-12 4.62
124 1.3e-08 4.6e-05 9.1e-07 1.00e+00 2.536869492e+02 2.536869845e+02 7.9e-12 4.65
125 1.2e-08 4.2e-05 8.2e-07 1.00e+00 2.536869517e+02 2.536869835e+02 7.1e-12 4.68
126 1.2e-08 4.2e-05 8.2e-07 1.00e+00 2.536869517e+02 2.536869835e+02 7.1e-12 4.71
127 1.2e-08 4.2e-05 8.2e-07 1.00e+00 2.536869517e+02 2.536869835e+02 7.1e-12 4.75
128 1.1e-08 3.7e-05 7.3e-07 1.00e+00 2.536869540e+02 2.536869826e+02 6.4e-12 4.78
129 9.9e-09 3.4e-05 6.6e-07 1.00e+00 2.536869560e+02 2.536869818e+02 5.8e-12 4.81
130 9.0e-09 3.1e-05 6.0e-07 1.00e+00 2.536869577e+02 2.536869812e+02 5.3e-12 4.84
131 9.0e-09 3.1e-05 6.0e-07 9.97e-01 2.536869577e+02 2.536869812e+02 5.3e-12 4.88
132 8.1e-09 2.8e-05 5.5e-07 1.00e+00 2.536869593e+02 2.536869806e+02 4.8e-12 4.92
Interior-point optimizer terminated. Time: 4.92.
Optimizer terminated. Time: 4.95
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695929e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 2.5368698057e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.98 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.04
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.08 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+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 0.12
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.264180260e+05 3.781070855e+00 4.7e-01 0.16
2 4.6e+02 6.0e+02 2.6e+04 -9.35e-01 -1.210471962e+05 9.871250645e+00 2.0e-01 0.20
3 2.9e+02 3.8e+02 1.6e+04 -8.50e-01 -1.158624976e+05 5.253701846e+01 1.3e-01 0.24
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.137381539e+05 1.863811987e+03 1.3e-01 0.27
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.842864585e+04 9.038469661e+03 3.6e-02 0.31
6 3.6e+01 4.7e+01 2.0e+03 -2.53e-01 -4.698030319e+04 1.010176989e+04 1.6e-02 0.34
7 1.8e+01 2.4e+01 1.0e+03 2.76e-01 -2.813348988e+04 6.397683247e+03 8.2e-03 0.37
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.477869507e+04 4.004072452e+03 4.0e-03 0.41
9 5.7e+00 7.4e+00 3.2e+02 8.20e-01 -9.247830868e+03 2.776682222e+03 2.5e-03 0.44
10 1.9e+00 2.5e+00 1.1e+02 9.03e-01 -3.003060838e+03 1.154002894e+03 8.5e-04 0.46
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.419019805e+03 1.010907333e+03 7.0e-04 0.50
12 1.0e+00 1.4e+00 5.7e+01 9.77e-01 -1.494910226e+03 7.263451829e+02 4.5e-04 0.54
13 4.7e-01 7.0e-01 2.7e+01 9.83e-01 -6.134624464e+02 4.375217672e+02 2.1e-04 0.59
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.355956032e+02 3.290669156e+02 1.1e-04 0.63
15 1.0e-01 1.7e-01 5.9e+00 1.00e+00 7.317537157e+00 2.369834364e+02 4.7e-05 0.66
16 5.0e-02 1.0e-01 2.9e+00 1.00e+00 9.073377224e+01 2.038615195e+02 2.3e-05 0.69
17 1.0e-02 1.5e-01 6.3e-01 1.01e+00 1.546017174e+02 1.791070650e+02 5.2e-06 0.73
18 6.2e-03 1.0e-01 3.8e-01 1.01e+00 1.615121045e+02 1.764421347e+02 3.2e-06 0.76
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.694752247e+02 1.734658697e+02 8.7e-07 0.80
20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717779199e+02 1.726253079e+02 1.9e-07 0.83
21 1.4e-04 1.0e-01 9.3e-03 9.93e-01 1.721395949e+02 1.725021465e+02 8.2e-08 0.87
22 8.8e-05 8.3e-02 5.9e-03 1.00e+00 1.722353246e+02 1.724645597e+02 5.2e-08 0.91
23 7.9e-05 7.7e-02 5.3e-03 1.00e+00 1.722533732e+02 1.724597556e+02 4.7e-08 0.94
24 7.1e-05 7.0e-02 4.8e-03 1.00e+00 1.722685711e+02 1.724543197e+02 4.2e-08 0.97
25 6.4e-05 6.4e-02 4.3e-03 1.00e+00 1.722822922e+02 1.724494668e+02 3.8e-08 1.02
26 5.8e-05 5.8e-02 3.9e-03 1.00e+00 1.722946119e+02 1.724450687e+02 3.4e-08 1.06
27 5.2e-05 5.3e-02 3.5e-03 1.00e+00 1.723056869e+02 1.724410971e+02 3.1e-08 1.10
28 4.7e-05 4.9e-02 3.1e-03 1.00e+00 1.723156394e+02 1.724375074e+02 2.8e-08 1.14
29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723245830e+02 1.724342631e+02 2.5e-08 1.18
30 3.8e-05 4.1e-02 2.5e-03 1.00e+00 1.723326202e+02 1.724313311e+02 2.2e-08 1.21
31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723398429e+02 1.724286817e+02 2.0e-08 1.24
32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723463343e+02 1.724262884e+02 1.8e-08 1.28
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723521690e+02 1.724241270e+02 1.6e-08 1.31
34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723574142e+02 1.724221758e+02 1.5e-08 1.34
35 2.2e-05 2.8e-02 1.5e-03 1.00e+00 1.723621298e+02 1.724204148e+02 1.3e-08 1.37
36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723663698e+02 1.724188259e+02 1.2e-08 1.40
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723701824e+02 1.724173926e+02 1.1e-08 1.42
38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723736109e+02 1.724160999e+02 9.6e-09 1.45
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723766943e+02 1.724149342e+02 8.6e-09 1.48
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723794674e+02 1.724138832e+02 7.8e-09 1.51
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723819616e+02 1.724129357e+02 7.0e-09 1.54
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723842050e+02 1.724120817e+02 6.3e-09 1.57
43 9.6e-06 1.6e-02 6.5e-04 1.00e+00 1.723862229e+02 1.724113119e+02 5.7e-09 1.60
44 8.7e-06 1.5e-02 5.8e-04 1.00e+00 1.723880381e+02 1.724106182e+02 5.1e-09 1.64
45 7.8e-06 1.5e-02 5.2e-04 1.00e+00 1.723896709e+02 1.724099930e+02 4.6e-09 1.67
46 7.0e-06 1.4e-02 4.7e-04 1.00e+00 1.723911398e+02 1.724094297e+02 4.1e-09 1.70
47 6.3e-06 1.3e-02 4.3e-04 1.00e+00 1.723924613e+02 1.724089223e+02 3.7e-09 1.73
48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723936501e+02 1.724084651e+02 3.3e-09 1.75
49 5.1e-06 1.2e-02 3.4e-04 1.00e+00 1.723947197e+02 1.724080532e+02 3.0e-09 1.78
50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723956820e+02 1.724076822e+02 2.7e-09 1.81
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965478e+02 1.724073480e+02 2.4e-09 1.84
52 3.7e-06 1.1e-02 2.5e-04 1.00e+00 1.723973267e+02 1.724070470e+02 2.2e-09 1.88
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980276e+02 1.724067759e+02 2.0e-09 1.91
54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986583e+02 1.724065317e+02 1.8e-09 1.94
55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992257e+02 1.724063119e+02 1.6e-09 1.96
56 2.5e-06 9.7e-03 1.6e-04 1.00e+00 1.723997363e+02 1.724061138e+02 1.4e-09 2.00
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001958e+02 1.724059355e+02 1.3e-09 2.03
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724006092e+02 1.724057750e+02 1.2e-09 2.07
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009811e+02 1.724056304e+02 1.1e-09 2.11
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013159e+02 1.724055003e+02 9.5e-10 2.16
61 1.4e-06 8.8e-03 9.7e-05 1.00e+00 1.724016171e+02 1.724053831e+02 8.5e-10 2.20
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018881e+02 1.724052776e+02 7.7e-10 2.24
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021320e+02 1.724051825e+02 6.9e-10 2.27
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023515e+02 1.724050970e+02 6.2e-10 2.30
65 9.5e-07 8.4e-03 6.4e-05 1.00e+00 1.724025490e+02 1.724050199e+02 5.6e-10 2.33
66 8.5e-07 8.3e-03 5.7e-05 1.00e+00 1.724027267e+02 1.724049506e+02 5.0e-10 2.36
67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028866e+02 1.724048881e+02 4.5e-10 2.39
68 6.9e-07 8.1e-03 4.7e-05 1.00e+00 1.724030306e+02 1.724048319e+02 4.1e-10 2.42
69 6.2e-07 8.0e-03 4.2e-05 1.00e+00 1.724031601e+02 1.724047813e+02 3.7e-10 2.45
70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032766e+02 1.724047357e+02 3.3e-10 2.49
71 5.0e-07 7.9e-03 3.4e-05 1.00e+00 1.724033815e+02 1.724046947e+02 3.0e-10 2.53
72 4.5e-07 7.9e-03 3.1e-05 1.00e+00 1.724034758e+02 1.724046577e+02 2.7e-10 2.57
73 4.1e-07 7.8e-03 2.7e-05 1.00e+00 1.724035608e+02 1.724046244e+02 2.4e-10 2.61
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036372e+02 1.724045945e+02 2.2e-10 2.64
75 3.3e-07 7.7e-03 2.2e-05 1.00e+00 1.724037060e+02 1.724045675e+02 1.9e-10 2.68
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037679e+02 1.724045433e+02 1.8e-10 2.71
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038235e+02 1.724045214e+02 1.6e-10 2.74
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038737e+02 1.724045017e+02 1.4e-10 2.78
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039188e+02 1.724044840e+02 1.3e-10 2.81
80 2.0e-07 7.6e-03 1.3e-05 9.99e-01 1.724039594e+02 1.724044681e+02 1.2e-10 2.84
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039959e+02 1.724044537e+02 1.0e-10 2.88
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040287e+02 1.724044408e+02 9.3e-11 2.91
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040583e+02 1.724044292e+02 8.4e-11 2.95
84 1.3e-07 7.5e-03 8.6e-06 9.99e-01 1.724040849e+02 1.724044187e+02 7.5e-11 2.99
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041089e+02 1.724044093e+02 6.8e-11 3.03
86 1.0e-07 7.4e-03 7.0e-06 9.99e-01 1.724041304e+02 1.724044008e+02 6.1e-11 3.06
87 9.4e-08 7.4e-03 6.3e-06 1.00e+00 1.724041498e+02 1.724043931e+02 5.5e-11 3.10
88 8.4e-08 7.4e-03 5.7e-06 1.00e+00 1.724041673e+02 1.724043863e+02 5.0e-11 3.13
89 7.6e-08 7.4e-03 5.1e-06 9.99e-01 1.724041830e+02 1.724043801e+02 4.5e-11 3.16
90 6.8e-08 7.4e-03 4.6e-06 9.98e-01 1.724041971e+02 1.724043745e+02 4.0e-11 3.19
91 6.1e-08 7.3e-03 4.1e-06 1.00e+00 1.724042098e+02 1.724043695e+02 3.6e-11 3.22
92 5.5e-08 7.3e-03 3.7e-06 9.98e-01 1.724042213e+02 1.724043650e+02 3.2e-11 3.25
93 5.0e-08 6.6e-03 3.3e-06 1.01e+00 1.724042317e+02 1.724043608e+02 2.9e-11 3.28
94 4.5e-08 5.9e-03 3.0e-06 1.00e+00 1.724042410e+02 1.724043572e+02 2.6e-11 3.31
95 4.0e-08 5.3e-03 2.7e-06 1.00e+00 1.724042493e+02 1.724043539e+02 2.4e-11 3.35
96 3.6e-08 4.8e-03 2.4e-06 1.00e+00 1.724042568e+02 1.724043509e+02 2.1e-11 3.38
97 3.3e-08 4.3e-03 2.2e-06 1.00e+00 1.724042636e+02 1.724043482e+02 1.9e-11 3.40
98 2.9e-08 3.9e-03 2.0e-06 1.01e+00 1.724042698e+02 1.724043458e+02 1.7e-11 3.43
99 2.6e-08 3.5e-03 1.8e-06 1.01e+00 1.724042754e+02 1.724043436e+02 1.6e-11 3.47
100 2.4e-08 3.2e-03 1.6e-06 1.01e+00 1.724042805e+02 1.724043415e+02 1.4e-11 3.50
101 2.1e-08 2.8e-03 1.4e-06 9.98e-01 1.724042849e+02 1.724043398e+02 1.3e-11 3.53
102 1.9e-08 2.6e-03 1.3e-06 9.99e-01 1.724042888e+02 1.724043382e+02 1.1e-11 3.56
103 1.7e-08 2.3e-03 1.2e-06 1.02e+00 1.724042926e+02 1.724043367e+02 1.0e-11 3.60
104 1.6e-08 2.1e-03 1.0e-06 1.00e+00 1.724042957e+02 1.724043355e+02 9.4e-12 3.63
105 4.0e-09 5.2e-04 2.6e-07 1.00e+00 1.724043171e+02 1.724043270e+02 2.3e-12 3.67
106 3.6e-09 4.6e-04 2.4e-07 1.04e+00 1.724043179e+02 1.724043267e+02 2.1e-12 3.69
107 9.1e-10 1.0e-04 5.2e-08 1.01e+00 1.724043228e+02 1.724043247e+02 4.7e-13 3.73
Interior-point optimizer terminated. Time: 3.74.
Optimizer terminated. Time: 3.77
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432281e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432474e+02 Viol. con: 0e+00 var: 7e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.8 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.289209270e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.267404386e+05 3.637047155e+00 4.8e-01 0.20
2 4.4e+02 5.7e+02 2.4e+04 -9.36e-01 -1.207993257e+05 1.004621992e+01 1.9e-01 0.23
3 2.9e+02 3.8e+02 1.6e+04 -8.43e-01 -1.160618630e+05 5.990662530e+01 1.3e-01 0.28
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.136045219e+05 2.136093249e+03 1.3e-01 0.32
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.752619215e+04 9.316591016e+03 3.5e-02 0.36
6 4.0e+01 5.2e+01 2.2e+03 -2.34e-01 -5.076741767e+04 1.003179946e+04 1.8e-02 0.39
7 3.0e+01 3.9e+01 1.7e+03 2.19e-01 -4.171035468e+04 8.294890684e+03 1.3e-02 0.42
8 1.9e+01 2.4e+01 1.0e+03 3.81e-01 -2.865141286e+04 5.387064421e+03 8.1e-03 0.46
9 7.9e+00 1.0e+01 4.4e+02 6.03e-01 -1.310596587e+04 3.143048659e+03 3.5e-03 0.49
10 4.0e+00 5.2e+00 2.2e+02 8.46e-01 -6.378099687e+03 2.128677890e+03 1.8e-03 0.52
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.514549764e+03 1.314874984e+03 9.9e-04 0.55
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.333950965e+03 6.456462311e+02 4.0e-04 0.59
13 8.2e-01 1.1e+00 4.6e+01 9.70e-01 -1.223648469e+03 5.999354085e+02 3.7e-04 0.62
14 5.9e-01 7.8e-01 3.3e+01 9.74e-01 -8.149791483e+02 4.893552610e+02 2.6e-04 0.66
15 2.2e-01 7.6e-01 1.2e+01 9.90e-01 -1.999802463e+02 2.844533226e+02 9.8e-05 0.70
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.241201272e+01 2.161154422e+02 4.9e-05 0.74
17 7.7e-02 2.8e-01 4.5e+00 1.01e+00 2.681049332e+01 2.015604322e+02 3.6e-05 0.78
18 5.1e-02 2.0e-01 3.0e+00 1.02e+00 7.892012807e+01 1.950358640e+02 2.4e-05 0.82
19 1.4e-02 1.1e-01 8.5e-01 1.00e+00 1.414698703e+02 1.745815351e+02 6.9e-06 0.86
20 4.0e-03 2.2e-01 2.4e-01 1.02e+00 1.602704443e+02 1.696481265e+02 1.9e-06 0.89
21 2.7e-03 2.1e-01 1.6e-01 1.01e+00 1.624283866e+02 1.687369789e+02 1.3e-06 0.92
22 1.9e-03 1.5e-01 1.2e-01 1.00e+00 1.637169974e+02 1.683012331e+02 9.5e-07 0.95
23 7.5e-04 9.5e-02 4.7e-02 1.01e+00 1.658030246e+02 1.676006377e+02 3.8e-07 0.99
24 3.6e-04 7.9e-02 2.3e-02 1.01e+00 1.664694468e+02 1.673480767e+02 1.9e-07 1.02
25 3.3e-04 7.2e-02 2.1e-02 1.01e+00 1.665375645e+02 1.673287251e+02 1.7e-07 1.05
26 3.0e-04 6.6e-02 1.9e-02 1.01e+00 1.665946572e+02 1.673064425e+02 1.5e-07 1.09
27 2.7e-04 6.0e-02 1.7e-02 1.01e+00 1.666462446e+02 1.672866447e+02 1.4e-07 1.12
28 2.4e-04 5.5e-02 1.5e-02 1.01e+00 1.666924381e+02 1.672686276e+02 1.2e-07 1.15
29 2.2e-04 5.0e-02 1.4e-02 1.01e+00 1.667338863e+02 1.672523174e+02 1.1e-07 1.19
30 1.9e-04 4.6e-02 1.2e-02 1.01e+00 1.667710488e+02 1.672375228e+02 9.9e-08 1.22
31 1.7e-04 4.2e-02 1.1e-02 1.01e+00 1.668043702e+02 1.672241035e+02 8.9e-08 1.26
32 1.6e-04 3.8e-02 9.9e-03 1.01e+00 1.668342458e+02 1.672119297e+02 8.0e-08 1.30
33 1.4e-04 3.5e-02 8.9e-03 1.01e+00 1.668610318e+02 1.672008856e+02 7.2e-08 1.33
34 1.3e-04 3.3e-02 8.0e-03 1.01e+00 1.668850491e+02 1.671908673e+02 6.5e-08 1.37
35 1.1e-04 3.0e-02 7.2e-03 1.00e+00 1.669065859e+02 1.671817818e+02 5.8e-08 1.40
36 1.0e-04 2.8e-02 6.5e-03 1.00e+00 1.669259013e+02 1.671735450e+02 5.3e-08 1.43
37 9.3e-05 2.6e-02 5.8e-03 1.00e+00 1.669432274e+02 1.671660807e+02 4.7e-08 1.46
38 8.3e-05 2.4e-02 5.3e-03 1.00e+00 1.669587719e+02 1.671593190e+02 4.3e-08 1.50
39 7.5e-05 2.2e-02 4.7e-03 1.00e+00 1.669727203e+02 1.671531962e+02 3.8e-08 1.53
40 6.8e-05 2.1e-02 4.3e-03 1.00e+00 1.669852386e+02 1.671476538e+02 3.5e-08 1.56
41 6.1e-05 2.0e-02 3.8e-03 1.00e+00 1.669964750e+02 1.671426383e+02 3.1e-08 1.59
42 5.5e-05 1.8e-02 3.4e-03 1.00e+00 1.670065622e+02 1.671381011e+02 2.8e-08 1.63
43 4.9e-05 1.7e-02 3.1e-03 1.00e+00 1.670156188e+02 1.671339975e+02 2.5e-08 1.66
44 4.4e-05 1.6e-02 2.8e-03 1.00e+00 1.670237513e+02 1.671302872e+02 2.3e-08 1.69
45 4.0e-05 1.6e-02 2.5e-03 1.00e+00 1.670310546e+02 1.671269333e+02 2.0e-08 1.72
46 3.6e-05 1.5e-02 2.3e-03 1.00e+00 1.670376142e+02 1.671239022e+02 1.8e-08 1.76
47 3.2e-05 1.4e-02 2.0e-03 1.00e+00 1.670435064e+02 1.671211636e+02 1.7e-08 1.79
48 2.9e-05 1.4e-02 1.8e-03 1.00e+00 1.670487996e+02 1.671186895e+02 1.5e-08 1.82
49 2.6e-05 1.3e-02 1.7e-03 1.00e+00 1.670535553e+02 1.671164551e+02 1.3e-08 1.86
50 2.4e-05 1.3e-02 1.5e-03 1.00e+00 1.670578283e+02 1.671144374e+02 1.2e-08 1.89
51 2.1e-05 1.2e-02 1.3e-03 1.00e+00 1.670616681e+02 1.671126157e+02 1.1e-08 1.94
52 1.9e-05 1.2e-02 1.2e-03 1.00e+00 1.670651189e+02 1.671109714e+02 9.8e-09 1.97
53 1.7e-05 1.1e-02 1.1e-03 1.00e+00 1.670682204e+02 1.671094874e+02 8.8e-09 2.00
54 1.5e-05 1.1e-02 9.7e-04 1.00e+00 1.670710080e+02 1.671081483e+02 7.9e-09 2.04
55 1.4e-05 1.1e-02 8.8e-04 1.00e+00 1.670735139e+02 1.671069401e+02 7.1e-09 2.07
56 1.3e-05 1.0e-02 7.9e-04 1.00e+00 1.670757666e+02 1.671058502e+02 6.4e-09 2.10
57 1.1e-05 1.0e-02 7.1e-04 1.00e+00 1.670777919e+02 1.671048671e+02 5.8e-09 2.13
58 1.0e-05 1.0e-02 6.4e-04 1.00e+00 1.670796128e+02 1.671039806e+02 5.2e-09 2.16
59 9.1e-06 9.8e-03 5.8e-04 1.00e+00 1.670812501e+02 1.671031812e+02 4.7e-09 2.19
60 8.2e-06 9.6e-03 5.2e-04 1.00e+00 1.670827224e+02 1.671024605e+02 4.2e-09 2.22
61 7.4e-06 9.5e-03 4.7e-04 1.00e+00 1.670840465e+02 1.671018108e+02 3.8e-09 2.26
62 6.6e-06 9.3e-03 4.2e-04 1.00e+00 1.670852372e+02 1.671012253e+02 3.4e-09 2.29
63 6.0e-06 9.2e-03 3.8e-04 1.00e+00 1.670863082e+02 1.671006975e+02 3.1e-09 2.32
64 5.4e-06 9.1e-03 3.4e-04 1.00e+00 1.670872715e+02 1.671002220e+02 2.8e-09 2.35
65 2.0e-06 3.4e-03 1.3e-04 1.00e+00 1.670926175e+02 1.670975524e+02 1.1e-09 2.39
66 6.9e-07 1.2e-03 4.4e-05 1.00e+00 1.670947935e+02 1.670964642e+02 3.6e-10 2.43
67 6.2e-07 1.0e-03 3.9e-05 1.00e+00 1.670949079e+02 1.670964114e+02 3.2e-10 2.47
68 5.6e-07 9.4e-04 3.6e-05 1.00e+00 1.670950075e+02 1.670963606e+02 2.9e-10 2.51
69 5.0e-07 8.5e-04 3.2e-05 1.00e+00 1.670950973e+02 1.670963151e+02 2.6e-10 2.55
70 4.5e-07 7.6e-04 2.9e-05 9.99e-01 1.670951780e+02 1.670962741e+02 2.3e-10 2.59
71 4.1e-07 6.9e-04 2.6e-05 1.00e+00 1.670952507e+02 1.670962371e+02 2.1e-10 2.63
72 3.7e-07 6.2e-04 2.3e-05 1.00e+00 1.670953160e+02 1.670962038e+02 1.9e-10 2.67
73 3.3e-07 5.6e-04 2.1e-05 1.00e+00 1.670953748e+02 1.670961738e+02 1.7e-10 2.71
74 3.0e-07 5.0e-04 1.9e-05 1.00e+00 1.670954277e+02 1.670961467e+02 1.5e-10 2.75
75 2.7e-07 4.5e-04 1.7e-05 1.00e+00 1.670954753e+02 1.670961223e+02 1.4e-10 2.78
76 2.4e-07 4.1e-04 1.5e-05 1.00e+00 1.670955180e+02 1.670961004e+02 1.2e-10 2.81
77 2.2e-07 3.7e-04 1.4e-05 9.99e-01 1.670955565e+02 1.670960807e+02 1.1e-10 2.85
78 2.0e-07 3.3e-04 1.2e-05 1.00e+00 1.670955912e+02 1.670960629e+02 1.0e-10 2.88
79 1.8e-07 3.0e-04 1.1e-05 9.99e-01 1.670956224e+02 1.670960470e+02 9.1e-11 2.91
80 1.6e-07 2.7e-04 1.0e-05 9.99e-01 1.670956504e+02 1.670960326e+02 8.2e-11 2.94
81 1.4e-07 2.4e-04 9.0e-06 1.00e+00 1.670956757e+02 1.670960196e+02 7.3e-11 2.98
82 1.3e-07 2.2e-04 8.1e-06 9.95e-01 1.670956984e+02 1.670960080e+02 6.6e-11 3.01
83 1.2e-07 1.9e-04 7.3e-06 1.00e+00 1.670957188e+02 1.670959974e+02 5.9e-11 3.04
84 1.0e-07 1.7e-04 6.6e-06 1.00e+00 1.670957372e+02 1.670959880e+02 5.4e-11 3.07
85 9.3e-08 1.6e-04 5.9e-06 9.98e-01 1.670957537e+02 1.670959795e+02 4.8e-11 3.10
86 8.4e-08 1.4e-04 5.3e-06 9.96e-01 1.670957686e+02 1.670959718e+02 4.3e-11 3.14
87 7.6e-08 1.3e-04 4.8e-06 9.97e-01 1.670957820e+02 1.670959649e+02 3.9e-11 3.17
88 6.8e-08 1.1e-04 4.3e-06 9.98e-01 1.670957941e+02 1.670959587e+02 3.5e-11 3.20
89 6.1e-08 1.0e-04 3.9e-06 1.00e+00 1.670958050e+02 1.670959531e+02 3.2e-11 3.23
90 5.5e-08 9.3e-05 3.5e-06 1.00e+00 1.670958148e+02 1.670959480e+02 2.8e-11 3.27
91 5.0e-08 8.4e-05 3.2e-06 9.94e-01 1.670958236e+02 1.670959435e+02 2.6e-11 3.30
92 4.5e-08 7.5e-05 2.8e-06 1.00e+00 1.670958315e+02 1.670959394e+02 2.3e-11 3.33
93 4.0e-08 6.8e-05 2.6e-06 9.85e-01 1.670958386e+02 1.670959358e+02 2.1e-11 3.37
94 3.6e-08 6.1e-05 2.3e-06 1.01e+00 1.670958453e+02 1.670959323e+02 1.9e-11 3.40
95 3.3e-08 5.5e-05 2.1e-06 1.01e+00 1.670958513e+02 1.670959292e+02 1.7e-11 3.43
96 2.9e-08 4.9e-05 1.9e-06 9.85e-01 1.670958564e+02 1.670959266e+02 1.5e-11 3.46
97 2.6e-08 4.4e-05 1.7e-06 9.68e-01 1.670958610e+02 1.670959243e+02 1.4e-11 3.50
98 2.4e-08 4.0e-05 1.5e-06 1.02e+00 1.670958655e+02 1.670959219e+02 1.2e-11 3.53
99 2.1e-08 3.6e-05 1.4e-06 9.92e-01 1.670958692e+02 1.670959200e+02 1.1e-11 3.56
100 1.9e-08 3.2e-05 1.2e-06 9.84e-01 1.670958726e+02 1.670959183e+02 1.0e-11 3.59
101 1.7e-08 2.9e-05 1.1e-06 1.02e+00 1.670958758e+02 1.670959166e+02 9.2e-12 3.63
Interior-point optimizer terminated. Time: 3.63.
Optimizer terminated. Time: 3.65
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587577e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6709591662e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.67 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286499302e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264834072e+05 3.586695619e+00 4.8e-01 0.28
2 4.3e+02 5.6e+02 2.4e+04 -9.36e-01 -1.204819803e+05 1.001242663e+01 1.9e-01 0.31
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.157492477e+05 6.085425985e+01 1.3e-01 0.34
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131500486e+05 2.257717719e+03 1.3e-01 0.37
5 7.4e+01 9.6e+01 4.1e+03 -7.55e-01 -7.449128400e+04 9.842477057e+03 3.3e-02 0.40
6 3.6e+01 4.7e+01 2.0e+03 -1.90e-01 -4.726400438e+04 1.026288683e+04 1.6e-02 0.43
7 2.2e+01 2.9e+01 1.3e+03 2.77e-01 -3.297889501e+04 7.148753102e+03 9.9e-03 0.46
8 1.4e+01 1.7e+01 7.5e+02 5.32e-01 -2.146002756e+04 4.808323132e+03 6.0e-03 0.49
9 5.3e+00 6.9e+00 3.0e+02 7.21e-01 -8.768696929e+03 2.417444638e+03 2.4e-03 0.52
10 2.4e+00 3.1e+00 1.3e+02 9.13e-01 -3.743506398e+03 1.405508150e+03 1.1e-03 0.55
11 1.7e+00 2.3e+00 9.8e+01 9.75e-01 -2.707043214e+03 1.075368125e+03 7.8e-04 0.58
12 8.2e-01 1.1e+00 4.6e+01 9.83e-01 -1.189714442e+03 5.992985285e+02 3.7e-04 0.62
13 7.5e-01 1.1e+00 4.2e+01 9.48e-01 -1.109357577e+03 5.596571458e+02 3.4e-04 0.65
14 6.3e-01 8.8e-01 3.5e+01 9.86e-01 -8.798948100e+02 5.072248588e+02 2.8e-04 0.68
15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.584791269e+02 2.542015569e+02 8.4e-05 0.71
16 1.0e-01 1.7e-01 5.9e+00 1.01e+00 -1.976754497e+01 2.098855063e+02 4.7e-05 0.74
17 1.0e-01 1.7e-01 5.8e+00 1.02e+00 -1.809051738e+01 2.102292794e+02 4.7e-05 0.77
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.591093297e+01 2.106372972e+02 4.0e-05 0.80
19 4.3e-02 9.6e-02 2.5e+00 1.01e+00 9.060623083e+01 1.877233474e+02 2.0e-05 0.83
20 1.2e-02 1.9e-01 6.8e-01 1.01e+00 1.471512900e+02 1.733932567e+02 5.5e-06 0.86
21 4.3e-03 3.6e-01 2.6e-01 1.01e+00 1.590087412e+02 1.689674541e+02 2.1e-06 0.89
22 1.2e-03 1.7e-01 7.5e-02 1.01e+00 1.645642089e+02 1.674300487e+02 6.1e-07 0.92
23 6.7e-04 1.2e-01 4.2e-02 9.81e-01 1.654789633e+02 1.670869475e+02 3.5e-07 0.95
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662934624e+02 1.667798108e+02 1.1e-07 0.98
25 6.2e-05 1.1e-01 4.1e-03 1.01e+00 1.665281992e+02 1.666838406e+02 3.5e-08 1.01
26 2.0e-05 1.1e-01 1.4e-03 1.01e+00 1.666013879e+02 1.666531056e+02 1.2e-08 1.04
27 6.5e-06 1.1e-01 4.4e-04 1.00e+00 1.666262047e+02 1.666427241e+02 3.7e-09 1.07
28 2.2e-06 1.0e-01 1.5e-04 1.00e+00 1.666337631e+02 1.666395167e+02 1.3e-09 1.10
29 7.7e-07 9.7e-02 5.3e-05 1.00e+00 1.666363782e+02 1.666383684e+02 4.5e-10 1.13
30 3.4e-07 8.2e-02 2.3e-05 1.00e+00 1.666371520e+02 1.666380161e+02 2.0e-10 1.16
31 7.3e-08 1.8e-02 5.0e-06 1.00e+00 1.666376163e+02 1.666378045e+02 4.3e-11 1.19
32 6.6e-08 1.6e-02 4.5e-06 1.00e+00 1.666376303e+02 1.666377996e+02 3.9e-11 1.22
33 5.9e-08 1.6e-02 4.1e-06 1.00e+00 1.666376419e+02 1.666377942e+02 3.5e-11 1.25
34 5.3e-08 1.5e-02 3.7e-06 1.01e+00 1.666376526e+02 1.666377892e+02 3.1e-11 1.27
35 4.8e-08 1.4e-02 3.3e-06 1.01e+00 1.666376623e+02 1.666377846e+02 2.8e-11 1.30
36 4.3e-08 1.3e-02 3.0e-06 9.79e-01 1.666376706e+02 1.666377808e+02 2.6e-11 1.33
37 3.9e-08 1.3e-02 2.7e-06 9.78e-01 1.666376781e+02 1.666377774e+02 2.3e-11 1.36
38 3.5e-08 1.2e-02 2.4e-06 9.88e-01 1.666376849e+02 1.666377743e+02 2.1e-11 1.39
39 3.1e-08 1.2e-02 2.2e-06 1.01e+00 1.666376912e+02 1.666377713e+02 1.9e-11 1.42
40 2.8e-08 1.1e-02 1.9e-06 9.90e-01 1.666376966e+02 1.666377687e+02 1.7e-11 1.45
41 2.5e-08 1.1e-02 1.7e-06 1.00e+00 1.666377016e+02 1.666377664e+02 1.5e-11 1.48
42 2.3e-08 1.1e-02 1.6e-06 1.01e+00 1.666377062e+02 1.666377642e+02 1.4e-11 1.51
43 2.1e-08 1.1e-02 1.4e-06 1.01e+00 1.666377104e+02 1.666377622e+02 1.2e-11 1.54
44 1.9e-08 1.0e-02 1.3e-06 1.01e+00 1.666377141e+02 1.666377605e+02 1.1e-11 1.57
45 1.7e-08 1.0e-02 1.1e-06 9.74e-01 1.666377172e+02 1.666377590e+02 1.0e-11 1.60
46 1.5e-08 9.6e-03 1.0e-06 9.12e-01 1.666377200e+02 1.666377578e+02 9.1e-12 1.63
47 1.4e-08 8.6e-03 9.3e-07 1.01e+00 1.666377227e+02 1.666377565e+02 8.3e-12 1.66
48 1.2e-08 8.5e-03 8.4e-07 9.88e-01 1.666377250e+02 1.666377555e+02 7.4e-12 1.69
49 1.1e-08 8.4e-03 7.5e-07 9.99e-01 1.666377271e+02 1.666377545e+02 6.7e-12 1.72
50 9.9e-09 7.6e-03 6.8e-07 1.07e+00 1.666377295e+02 1.666377533e+02 6.2e-12 1.75
51 8.9e-09 6.8e-03 6.1e-07 1.02e+00 1.666377313e+02 1.666377524e+02 5.7e-12 1.78
52 8.0e-09 6.1e-03 5.5e-07 1.03e+00 1.666377329e+02 1.666377516e+02 5.2e-12 1.81
53 7.2e-09 5.5e-03 4.9e-07 1.11e+00 1.666377349e+02 1.666377506e+02 4.9e-12 1.84
54 3.4e-09 3.3e-04 3.0e-08 8.83e-01 1.666377454e+02 1.666377463e+02 5.3e-13 1.87
Interior-point optimizer terminated. Time: 1.87.
Optimizer terminated. Time: 1.89
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774535e+02 Viol. con: 9e-08 var: 0e+00
Dual. obj: 1.6663774635e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.92 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286106764e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264423004e+05 3.580364916e+00 4.8e-01 0.19
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.203332297e+05 1.010636461e+01 1.9e-01 0.22
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.156664729e+05 6.247798771e+01 1.3e-01 0.25
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.130152825e+05 2.295884572e+03 1.3e-01 0.28
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.379599934e+04 9.860988222e+03 3.2e-02 0.31
6 3.6e+01 4.6e+01 2.0e+03 -1.80e-01 -4.641911376e+04 1.009611204e+04 1.6e-02 0.34
7 2.1e+01 2.7e+01 1.2e+03 2.91e-01 -3.097466332e+04 6.886211395e+03 9.2e-03 0.37
8 1.2e+01 1.6e+01 6.8e+02 5.65e-01 -1.945485875e+04 4.491369600e+03 5.4e-03 0.40
9 4.7e+00 6.1e+00 2.6e+02 7.53e-01 -7.765140711e+03 2.180673593e+03 2.1e-03 0.43
10 2.3e+00 3.0e+00 1.3e+02 9.26e-01 -3.530364903e+03 1.395528282e+03 1.0e-03 0.46
11 1.5e+00 1.9e+00 8.5e+01 9.77e-01 -2.301315547e+03 9.721195864e+02 6.7e-04 0.49
12 8.5e-01 1.1e+00 4.8e+01 9.85e-01 -1.230529795e+03 6.224921148e+02 3.8e-04 0.52
13 7.5e-01 1.0e+00 4.2e+01 9.54e-01 -1.093829773e+03 5.630525492e+02 3.4e-04 0.55
14 3.7e-01 5.0e-01 2.1e+01 9.85e-01 -4.359019093e+02 3.737956043e+02 1.6e-04 0.58
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.439999050e+02 2.585348972e+02 8.2e-05 0.61
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 4.979991493e+00 2.043015704e+02 4.1e-05 0.64
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.398828675e+01 2.065699686e+02 4.0e-05 0.67
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 5.949231971e+01 1.948373527e+02 2.8e-05 0.69
19 3.0e-02 7.3e-02 1.7e+00 1.01e+00 1.152798893e+02 1.809927534e+02 1.4e-05 0.72
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.525612583e+02 1.716191927e+02 4.0e-06 0.75
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622330964e+02 1.679611401e+02 1.2e-06 0.78
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639702650e+02 1.674409718e+02 7.3e-07 0.81
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656550185e+02 1.668671098e+02 2.6e-07 0.84
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661959807e+02 1.666660325e+02 1.0e-07 0.87
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662326093e+02 1.666555344e+02 9.2e-08 0.90
26 1.6e-04 7.9e-02 1.0e-02 1.01e+00 1.662628640e+02 1.666433547e+02 8.3e-08 0.93
27 1.4e-04 7.2e-02 9.0e-03 1.01e+00 1.662902747e+02 1.666326035e+02 7.5e-08 0.96
28 1.3e-04 6.6e-02 8.1e-03 1.01e+00 1.663148184e+02 1.666228207e+02 6.7e-08 0.99
29 1.2e-04 6.0e-02 7.3e-03 1.01e+00 1.663368448e+02 1.666139698e+02 6.0e-08 1.02
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663566064e+02 1.666059554e+02 5.4e-08 1.06
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663743378e+02 1.665987000e+02 4.9e-08 1.09
32 8.5e-05 4.6e-02 5.3e-03 1.01e+00 1.663902484e+02 1.665921321e+02 4.4e-08 1.12
33 7.6e-05 4.2e-02 4.8e-03 1.01e+00 1.664045263e+02 1.665861872e+02 4.0e-08 1.15
34 6.9e-05 3.8e-02 4.3e-03 1.01e+00 1.664173403e+02 1.665808072e+02 3.6e-08 1.18
35 6.2e-05 3.5e-02 3.9e-03 1.01e+00 1.664288416e+02 1.665759392e+02 3.2e-08 1.21
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664391659e+02 1.665715355e+02 2.9e-08 1.24
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664484347e+02 1.665675527e+02 2.6e-08 1.27
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664567568e+02 1.665639513e+02 2.3e-08 1.30
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664642296e+02 1.665606954e+02 2.1e-08 1.33
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664709407e+02 1.665577524e+02 1.9e-08 1.36
41 3.3e-05 2.2e-02 2.1e-03 1.00e+00 1.664769682e+02 1.665550928e+02 1.7e-08 1.39
42 2.9e-05 2.1e-02 1.9e-03 1.00e+00 1.664823823e+02 1.665526898e+02 1.5e-08 1.42
43 2.7e-05 2.0e-02 1.7e-03 1.00e+00 1.664872460e+02 1.665505191e+02 1.4e-08 1.45
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664916156e+02 1.665485585e+02 1.2e-08 1.48
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664955417e+02 1.665467881e+02 1.1e-08 1.51
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664990698e+02 1.665451898e+02 1.0e-08 1.54
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665022404e+02 1.665437471e+02 9.1e-09 1.57
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665050902e+02 1.665424452e+02 8.2e-09 1.60
49 1.4e-05 1.4e-02 8.9e-04 1.00e+00 1.665076518e+02 1.665412706e+02 7.4e-09 1.63
50 1.3e-05 1.3e-02 8.0e-04 1.00e+00 1.665099547e+02 1.665402110e+02 6.6e-09 1.66
51 1.1e-05 1.3e-02 7.2e-04 1.00e+00 1.665120252e+02 1.665392556e+02 6.0e-09 1.69
52 1.0e-05 1.2e-02 6.5e-04 1.00e+00 1.665138870e+02 1.665383940e+02 5.4e-09 1.72
53 9.3e-06 1.2e-02 5.8e-04 1.00e+00 1.665155612e+02 1.665376174e+02 4.8e-09 1.75
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665170669e+02 1.665369173e+02 4.4e-09 1.78
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665184211e+02 1.665362864e+02 3.9e-09 1.81
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665196392e+02 1.665357180e+02 3.5e-09 1.84
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665207348e+02 1.665352057e+02 3.2e-09 1.87
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217204e+02 1.665347442e+02 2.9e-09 1.90
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226069e+02 1.665343285e+02 2.6e-09 1.94
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234044e+02 1.665339538e+02 2.3e-09 1.97
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241217e+02 1.665336162e+02 2.1e-09 2.00
62 3.6e-06 9.5e-03 2.3e-04 1.00e+00 1.665247669e+02 1.665333120e+02 1.9e-09 2.03
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253473e+02 1.665330378e+02 1.7e-09 2.05
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665258692e+02 1.665327908e+02 1.5e-09 2.08
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263387e+02 1.665325682e+02 1.4e-09 2.10
66 2.4e-06 9.0e-03 1.5e-04 1.00e+00 1.665267610e+02 1.665323676e+02 1.2e-09 2.13
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271409e+02 1.665321869e+02 1.1e-09 2.16
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665274827e+02 1.665320241e+02 1.0e-09 2.19
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665277902e+02 1.665318775e+02 9.0e-10 2.22
70 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.665280668e+02 1.665317454e+02 8.1e-10 2.25
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283156e+02 1.665316263e+02 7.3e-10 2.28
72 1.3e-06 8.5e-03 7.9e-05 1.00e+00 1.665285394e+02 1.665315192e+02 6.5e-10 2.31
73 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.665287408e+02 1.665314226e+02 5.9e-10 2.34
74 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.665289219e+02 1.665313356e+02 5.3e-10 2.36
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290849e+02 1.665312572e+02 4.8e-10 2.39
76 8.2e-07 8.3e-03 5.2e-05 9.99e-01 1.665292314e+02 1.665311866e+02 4.3e-10 2.42
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293632e+02 1.665311230e+02 3.9e-10 2.45
78 6.6e-07 8.2e-03 4.2e-05 9.99e-01 1.665294818e+02 1.665310656e+02 3.5e-10 2.48
79 6.0e-07 8.2e-03 3.8e-05 9.99e-01 1.665295884e+02 1.665310139e+02 3.1e-10 2.51
80 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.665296843e+02 1.665309673e+02 2.8e-10 2.54
81 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.665297706e+02 1.665309252e+02 2.5e-10 2.57
82 4.4e-07 8.1e-03 2.7e-05 1.00e+00 1.665298481e+02 1.665308873e+02 2.3e-10 2.60
83 3.9e-07 8.1e-03 2.5e-05 9.99e-01 1.665299178e+02 1.665308532e+02 2.1e-10 2.62
84 3.5e-07 8.0e-03 2.2e-05 1.00e+00 1.665299805e+02 1.665308223e+02 1.8e-10 2.65
85 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.665300370e+02 1.665307945e+02 1.7e-10 2.68
86 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.665300877e+02 1.665307694e+02 1.5e-10 2.71
87 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.665301333e+02 1.665307469e+02 1.3e-10 2.73
88 2.3e-07 8.0e-03 1.5e-05 1.00e+00 1.665301744e+02 1.665307265e+02 1.2e-10 2.76
89 2.1e-07 7.9e-03 1.3e-05 9.99e-01 1.665302113e+02 1.665307083e+02 1.1e-10 2.79
90 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.665302445e+02 1.665306918e+02 9.8e-11 2.82
91 1.7e-07 7.9e-03 1.1e-05 9.93e-01 1.665302744e+02 1.665306770e+02 8.8e-11 2.85
92 1.5e-07 7.9e-03 9.6e-06 9.96e-01 1.665303012e+02 1.665306637e+02 8.0e-11 2.88
93 1.4e-07 7.8e-03 8.6e-06 9.99e-01 1.665303254e+02 1.665306517e+02 7.2e-11 2.91
94 1.2e-07 7.8e-03 7.7e-06 9.99e-01 1.665303472e+02 1.665306408e+02 6.4e-11 2.94
95 1.1e-07 7.8e-03 7.0e-06 9.91e-01 1.665303668e+02 1.665306311e+02 5.8e-11 2.97
96 1.0e-07 7.0e-03 6.3e-06 1.01e+00 1.665303846e+02 1.665306222e+02 5.2e-11 3.00
97 9.0e-08 6.3e-03 5.6e-06 9.96e-01 1.665304004e+02 1.665306143e+02 4.7e-11 3.03
98 8.1e-08 5.7e-03 5.1e-06 1.00e+00 1.665304147e+02 1.665306071e+02 4.2e-11 3.06
99 7.3e-08 5.1e-03 4.6e-06 1.01e+00 1.665304278e+02 1.665306006e+02 3.8e-11 3.09
100 6.5e-08 4.6e-03 4.1e-06 1.01e+00 1.665304398e+02 1.665305945e+02 3.5e-11 3.12
101 5.9e-08 4.1e-03 3.7e-06 1.01e+00 1.665304503e+02 1.665305892e+02 3.1e-11 3.15
102 5.3e-08 3.7e-03 3.3e-06 9.86e-01 1.665304595e+02 1.665305847e+02 2.8e-11 3.17
103 4.8e-08 3.3e-03 3.0e-06 1.00e+00 1.665304679e+02 1.665305805e+02 2.5e-11 3.20
104 4.3e-08 3.0e-03 2.7e-06 1.01e+00 1.665304758e+02 1.665305765e+02 2.3e-11 3.24
105 3.9e-08 2.7e-03 2.4e-06 1.00e+00 1.665304825e+02 1.665305731e+02 2.1e-11 3.27
106 3.5e-08 2.4e-03 2.2e-06 9.98e-01 1.665304886e+02 1.665305701e+02 1.9e-11 3.30
107 3.1e-08 2.2e-03 2.0e-06 1.00e+00 1.665304940e+02 1.665305674e+02 1.7e-11 3.32
108 2.8e-08 2.0e-03 1.8e-06 1.00e+00 1.665304989e+02 1.665305649e+02 1.5e-11 3.36
109 2.5e-08 1.8e-03 1.6e-06 9.94e-01 1.665305033e+02 1.665305627e+02 1.3e-11 3.41
110 2.3e-08 1.6e-03 1.4e-06 1.03e+00 1.665305078e+02 1.665305604e+02 1.2e-11 3.43
111 2.1e-08 1.4e-03 1.3e-06 9.95e-01 1.665305113e+02 1.665305587e+02 1.1e-11 3.46
112 1.8e-08 1.3e-03 1.2e-06 9.91e-01 1.665305145e+02 1.665305571e+02 1.0e-11 3.49
113 1.7e-08 1.2e-03 1.0e-06 9.54e-01 1.665305173e+02 1.665305558e+02 9.0e-12 3.52
114 1.5e-08 1.1e-03 9.4e-07 1.00e+00 1.665305199e+02 1.665305545e+02 8.1e-12 3.56
115 1.3e-08 9.5e-04 8.5e-07 9.85e-01 1.665305222e+02 1.665305533e+02 7.3e-12 3.59
116 1.2e-08 8.5e-04 7.6e-07 1.03e+00 1.665305245e+02 1.665305521e+02 6.6e-12 3.62
117 1.1e-08 7.7e-04 6.9e-07 1.17e+00 1.665305278e+02 1.665305503e+02 6.5e-12 3.65
118 9.9e-09 6.9e-04 6.2e-07 9.77e-01 1.665305293e+02 1.665305496e+02 5.8e-12 3.67
119 8.9e-09 6.2e-04 5.6e-07 1.07e+00 1.665305311e+02 1.665305486e+02 5.5e-12 3.71
120 8.1e-09 5.6e-04 5.0e-07 1.04e+00 1.665305325e+02 1.665305479e+02 5.0e-12 3.74
121 7.3e-09 5.0e-04 4.5e-07 9.89e-01 1.665305335e+02 1.665305474e+02 4.5e-12 3.77
122 6.6e-09 4.5e-04 4.1e-07 9.82e-01 1.665305345e+02 1.665305470e+02 4.1e-12 3.80
123 5.9e-09 4.1e-04 3.6e-07 8.39e-01 1.665305353e+02 1.665305466e+02 3.6e-12 3.83
124 5.5e-09 3.7e-04 3.3e-07 1.15e+00 1.665305366e+02 1.665305459e+02 3.5e-12 3.85
125 5.0e-09 3.3e-04 3.0e-07 1.22e+00 1.665305372e+02 1.665305456e+02 3.2e-12 3.89
126 4.8e-09 3.0e-04 2.7e-07 1.56e+00 1.665305379e+02 1.665305451e+02 2.9e-12 3.92
127 4.4e-09 2.7e-04 2.4e-07 9.14e-01 1.665305384e+02 1.665305449e+02 2.6e-12 3.96
128 4.2e-09 2.4e-04 2.2e-07 1.02e+00 1.665305389e+02 1.665305447e+02 2.3e-12 3.98
129 7.2e-10 1.3e-05 1.2e-08 9.90e-01 1.665305427e+02 1.665305430e+02 1.4e-13 4.01
Interior-point optimizer terminated. Time: 4.02.
Optimizer terminated. Time: 4.04
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054270e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.6653054303e+02 Viol. con: 0e+00 var: 7e-05
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.07 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286069767e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264280191e+05 3.575761793e+00 4.8e-01 0.15
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.202642607e+05 1.018055842e+01 1.9e-01 0.19
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.155864702e+05 6.348055895e+01 1.2e-01 0.22
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.129604571e+05 2.275516288e+03 1.2e-01 0.25
5 7.5e+01 9.6e+01 4.2e+03 -7.53e-01 -7.467568052e+04 9.661822365e+03 3.3e-02 0.29
6 3.3e+01 4.2e+01 1.8e+03 -1.93e-01 -4.344556716e+04 1.030574791e+04 1.4e-02 0.32
7 1.9e+01 2.5e+01 1.1e+03 3.43e-01 -2.866889446e+04 6.921959852e+03 8.5e-03 0.36
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.820598857e+04 4.395204674e+03 5.0e-03 0.39
9 4.5e+00 5.8e+00 2.5e+02 7.73e-01 -7.371169310e+03 2.103309985e+03 2.0e-03 0.43
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.214992717e+03 1.325823805e+03 9.3e-04 0.47
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.014770541e+03 8.899285503e+02 6.0e-04 0.51
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.165872212e+03 6.060229395e+02 3.6e-04 0.55
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.120544214e+02 5.060758140e+02 2.9e-04 0.59
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.191575818e+02 3.802509055e+02 1.6e-04 0.63
15 1.8e-01 2.4e-01 1.0e+01 9.93e-01 -1.346787038e+02 2.582563084e+02 8.0e-05 0.66
16 7.9e-02 1.4e-01 4.6e+00 1.01e+00 2.126735042e+01 1.996181803e+02 3.7e-05 0.69
17 6.8e-02 1.2e-01 3.9e+00 1.02e+00 4.474483037e+01 1.978725003e+02 3.2e-05 0.73
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.178038182e+02 1.806433244e+02 1.3e-05 0.76
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.531906669e+02 1.714402890e+02 3.8e-06 0.80
20 2.9e-03 2.3e-01 1.7e-01 1.00e+00 1.613913405e+02 1.680581699e+02 1.4e-06 0.83
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635874509e+02 1.674597074e+02 8.2e-07 0.86
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656228615e+02 1.668056660e+02 2.5e-07 0.90
23 1.9e-04 1.0e-01 1.2e-02 1.01e+00 1.661602402e+02 1.666051062e+02 9.7e-08 0.93
24 8.5e-05 8.7e-02 5.4e-03 1.01e+00 1.663313654e+02 1.665357309e+02 4.5e-08 0.97
25 3.9e-05 7.9e-02 2.5e-03 1.01e+00 1.664099154e+02 1.665032849e+02 2.1e-08 1.00
26 3.5e-05 7.2e-02 2.2e-03 1.01e+00 1.664180534e+02 1.665021105e+02 1.9e-08 1.03
27 3.1e-05 6.6e-02 2.0e-03 1.01e+00 1.664237649e+02 1.664993874e+02 1.7e-08 1.07
28 2.8e-05 6.0e-02 1.8e-03 1.01e+00 1.664290337e+02 1.664970794e+02 1.5e-08 1.10
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664337477e+02 1.664949761e+02 1.4e-08 1.13
30 2.3e-05 5.0e-02 1.5e-03 1.01e+00 1.664379850e+02 1.664930804e+02 1.2e-08 1.18
31 2.1e-05 4.6e-02 1.3e-03 1.00e+00 1.664417910e+02 1.664913685e+02 1.1e-08 1.22
32 1.8e-05 4.2e-02 1.2e-03 1.00e+00 1.664452105e+02 1.664898234e+02 1.0e-08 1.26
33 1.7e-05 3.9e-02 1.1e-03 1.00e+00 1.664482830e+02 1.664884291e+02 9.0e-09 1.30
34 1.5e-05 3.6e-02 9.6e-04 1.00e+00 1.664510441e+02 1.664871711e+02 8.1e-09 1.34
35 1.3e-05 3.3e-02 8.6e-04 1.00e+00 1.664535256e+02 1.664860362e+02 7.3e-09 1.37
36 1.2e-05 3.0e-02 7.8e-04 1.00e+00 1.664557561e+02 1.664850127e+02 6.5e-09 1.40
37 1.1e-05 2.8e-02 7.0e-04 1.00e+00 1.664577611e+02 1.664840897e+02 5.9e-09 1.44
38 9.8e-06 2.6e-02 6.3e-04 1.00e+00 1.664595636e+02 1.664832574e+02 5.3e-09 1.47
39 8.8e-06 2.4e-02 5.7e-04 1.00e+00 1.664611842e+02 1.664825072e+02 4.8e-09 1.50
40 8.0e-06 2.3e-02 5.1e-04 1.00e+00 1.664626415e+02 1.664818310e+02 4.3e-09 1.54
41 7.2e-06 2.1e-02 4.6e-04 1.00e+00 1.664639520e+02 1.664812216e+02 3.9e-09 1.57
42 6.4e-06 2.0e-02 4.1e-04 1.00e+00 1.664651306e+02 1.664806724e+02 3.5e-09 1.61
43 5.8e-06 1.9e-02 3.7e-04 1.00e+00 1.664661907e+02 1.664801777e+02 3.1e-09 1.65
44 5.2e-06 1.7e-02 3.3e-04 1.00e+00 1.664671441e+02 1.664797320e+02 2.8e-09 1.69
45 4.7e-06 1.6e-02 3.0e-04 1.00e+00 1.664680018e+02 1.664793304e+02 2.5e-09 1.72
46 4.2e-06 1.6e-02 2.7e-04 1.00e+00 1.664687733e+02 1.664789688e+02 2.3e-09 1.76
47 3.8e-06 1.5e-02 2.4e-04 1.00e+00 1.664694673e+02 1.664786431e+02 2.1e-09 1.79
48 3.4e-06 1.4e-02 2.2e-04 1.00e+00 1.664700917e+02 1.664783496e+02 1.8e-09 1.83
49 3.1e-06 1.3e-02 2.0e-04 1.00e+00 1.664706533e+02 1.664780853e+02 1.7e-09 1.86
50 2.8e-06 1.3e-02 1.8e-04 1.00e+00 1.664711585e+02 1.664778472e+02 1.5e-09 1.89
51 2.5e-06 1.2e-02 1.6e-04 1.00e+00 1.664716131e+02 1.664776329e+02 1.3e-09 1.93
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664720221e+02 1.664774399e+02 1.2e-09 1.96
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664723901e+02 1.664772662e+02 1.1e-09 1.99
54 1.8e-06 1.1e-02 1.2e-04 1.00e+00 1.664727214e+02 1.664771097e+02 9.8e-10 2.03
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664730194e+02 1.664769690e+02 8.8e-10 2.06
56 1.5e-06 1.0e-02 9.4e-05 1.00e+00 1.664732877e+02 1.664768422e+02 8.0e-10 2.09
57 1.3e-06 1.0e-02 8.5e-05 1.00e+00 1.664735291e+02 1.664767282e+02 7.2e-10 2.12
58 1.2e-06 9.9e-03 7.6e-05 1.00e+00 1.664737463e+02 1.664766255e+02 6.5e-10 2.16
59 1.1e-06 9.6e-03 6.9e-05 1.00e+00 1.664739418e+02 1.664765331e+02 5.8e-10 2.19
60 9.7e-07 9.4e-03 6.2e-05 1.00e+00 1.664741177e+02 1.664764499e+02 5.2e-10 2.23
61 8.7e-07 9.2e-03 5.6e-05 1.00e+00 1.664742760e+02 1.664763750e+02 4.7e-10 2.26
62 7.8e-07 9.1e-03 5.0e-05 1.00e+00 1.664744184e+02 1.664763076e+02 4.2e-10 2.29
63 7.1e-07 8.9e-03 4.5e-05 1.00e+00 1.664745466e+02 1.664762468e+02 3.8e-10 2.33
64 6.3e-07 8.8e-03 4.1e-05 1.00e+00 1.664746620e+02 1.664761921e+02 3.4e-10 2.36
65 5.7e-07 8.7e-03 3.7e-05 1.00e+00 1.664747657e+02 1.664761428e+02 3.1e-10 2.39
66 5.1e-07 8.6e-03 3.3e-05 1.00e+00 1.664748591e+02 1.664760985e+02 2.8e-10 2.42
67 4.6e-07 8.5e-03 3.0e-05 1.00e+00 1.664749430e+02 1.664760584e+02 2.5e-10 2.45
68 4.2e-07 8.4e-03 2.7e-05 1.00e+00 1.664750186e+02 1.664760224e+02 2.3e-10 2.49
69 3.7e-07 8.3e-03 2.4e-05 1.00e+00 1.664750865e+02 1.664759899e+02 2.0e-10 2.53
70 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664751476e+02 1.664759607e+02 1.8e-10 2.57
71 3.0e-07 8.2e-03 1.9e-05 1.00e+00 1.664752026e+02 1.664759343e+02 1.6e-10 2.61
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752521e+02 1.664759106e+02 1.5e-10 2.64
73 2.5e-07 8.1e-03 1.6e-05 9.99e-01 1.664752966e+02 1.664758893e+02 1.3e-10 2.67
74 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664753366e+02 1.664758700e+02 1.2e-10 2.70
75 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664753726e+02 1.664758527e+02 1.1e-10 2.72
76 1.8e-07 7.9e-03 1.1e-05 9.97e-01 1.664754050e+02 1.664758372e+02 9.7e-11 2.76
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754342e+02 1.664758231e+02 8.7e-11 2.79
78 1.5e-07 7.8e-03 9.3e-06 1.00e+00 1.664754604e+02 1.664758105e+02 7.8e-11 2.82
79 1.3e-07 7.8e-03 8.4e-06 9.97e-01 1.664754841e+02 1.664757991e+02 7.1e-11 2.86
80 1.2e-07 7.8e-03 7.5e-06 1.00e+00 1.664755055e+02 1.664757887e+02 6.4e-11 2.89
81 1.1e-07 7.8e-03 6.8e-06 1.01e+00 1.664755248e+02 1.664757794e+02 5.7e-11 2.92
82 9.5e-08 7.8e-03 6.1e-06 1.00e+00 1.664755421e+02 1.664757710e+02 5.2e-11 2.96
83 8.6e-08 7.7e-03 5.5e-06 1.00e+00 1.664755576e+02 1.664757636e+02 4.6e-11 3.00
84 7.7e-08 7.7e-03 4.9e-06 1.00e+00 1.664755715e+02 1.664757569e+02 4.2e-11 3.04
85 6.9e-08 7.0e-03 4.4e-06 1.01e+00 1.664755842e+02 1.664757507e+02 3.8e-11 3.08
86 6.3e-08 6.3e-03 4.0e-06 1.00e+00 1.664755955e+02 1.664757452e+02 3.4e-11 3.12
87 5.6e-08 5.6e-03 3.6e-06 1.01e+00 1.664756058e+02 1.664757402e+02 3.1e-11 3.15
88 5.1e-08 5.1e-03 3.2e-06 1.01e+00 1.664756152e+02 1.664757356e+02 2.8e-11 3.18
89 4.6e-08 4.6e-03 2.9e-06 9.93e-01 1.664756233e+02 1.664757317e+02 2.5e-11 3.21
90 4.1e-08 4.1e-03 2.6e-06 9.99e-01 1.664756307e+02 1.664757282e+02 2.2e-11 3.25
91 3.7e-08 3.7e-03 2.4e-06 9.99e-01 1.664756372e+02 1.664757250e+02 2.0e-11 3.28
92 3.3e-08 3.3e-03 2.1e-06 1.00e+00 1.664756432e+02 1.664757221e+02 1.8e-11 3.31
93 3.0e-08 3.0e-03 1.9e-06 1.01e+00 1.664756488e+02 1.664757194e+02 1.6e-11 3.35
94 2.7e-08 2.7e-03 1.7e-06 9.85e-01 1.664756536e+02 1.664757172e+02 1.5e-11 3.38
95 2.4e-08 2.4e-03 1.6e-06 1.00e+00 1.664756579e+02 1.664757151e+02 1.3e-11 3.41
96 2.2e-08 2.2e-03 1.4e-06 1.02e+00 1.664756621e+02 1.664757130e+02 1.2e-11 3.45
97 2.0e-08 2.0e-03 1.3e-06 9.85e-01 1.664756655e+02 1.664757114e+02 1.1e-11 3.49
98 1.8e-08 1.8e-03 1.1e-06 9.86e-01 1.664756686e+02 1.664757099e+02 9.8e-12 3.53
99 1.6e-08 1.6e-03 1.0e-06 9.86e-01 1.664756714e+02 1.664757086e+02 8.8e-12 3.57
100 1.4e-08 1.4e-03 9.2e-07 9.89e-01 1.664756739e+02 1.664757074e+02 8.0e-12 3.61
101 1.3e-08 1.3e-03 8.2e-07 1.01e+00 1.664756762e+02 1.664757063e+02 7.2e-12 3.65
102 1.2e-08 1.2e-03 7.4e-07 9.90e-01 1.664756783e+02 1.664757053e+02 6.5e-12 3.68
103 1.0e-08 1.0e-03 6.7e-07 1.06e+00 1.664756806e+02 1.664757041e+02 6.0e-12 3.71
104 9.4e-09 9.4e-04 6.0e-07 1.07e+00 1.664756827e+02 1.664757031e+02 5.6e-12 3.74
105 4.7e-09 9.9e-05 6.3e-08 1.01e+00 1.664756950e+02 1.664756971e+02 5.8e-13 3.79
Interior-point optimizer terminated. Time: 3.79.
Optimizer terminated. Time: 3.83
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569500e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6647569714e+02 Viol. con: 0e+00 var: 6e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.86 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285358114e+05 2.000000000e+00 1.0e+00 0.08
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263542082e+05 3.574445372e+00 4.8e-01 0.50
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201589831e+05 1.021557429e+01 1.9e-01 0.53
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154719094e+05 6.399730794e+01 1.2e-01 0.56
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.128614119e+05 2.263779709e+03 1.2e-01 0.59
5 7.5e+01 9.7e+01 4.2e+03 -7.52e-01 -7.480780595e+04 9.600060804e+03 3.3e-02 0.61
6 3.0e+01 3.9e+01 1.7e+03 -1.96e-01 -4.068260761e+04 1.026884563e+04 1.3e-02 0.64
7 1.8e+01 2.3e+01 1.0e+03 3.91e-01 -2.712642172e+04 6.680826698e+03 7.9e-03 0.67
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.569347827e+04 3.889194592e+03 4.3e-03 0.70
9 3.9e+00 5.0e+00 2.2e+02 8.12e-01 -6.429900168e+03 1.893857740e+03 1.7e-03 0.73
10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.286662472e+03 1.204163942e+03 9.2e-04 0.76
11 1.0e+00 1.3e+00 5.9e+01 9.80e-01 -1.544906983e+03 7.354979393e+02 4.7e-04 0.79
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.184144967e+03 6.013337054e+02 3.6e-04 0.82
13 4.8e-01 6.2e-01 2.7e+01 9.74e-01 -6.381750990e+02 4.207793815e+02 2.1e-04 0.85
14 2.6e-01 3.6e-01 1.5e+01 1.00e+00 -2.719698085e+02 3.085282517e+02 1.2e-04 0.88
15 9.7e-02 1.5e-01 5.5e+00 1.00e+00 -1.008377349e+01 2.072319408e+02 4.5e-05 0.91
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.581165005e+01 2.085963256e+02 4.0e-05 0.94
17 5.4e-02 8.8e-02 3.1e+00 1.02e+00 7.237351474e+01 1.919314225e+02 2.5e-05 0.97
18 2.3e-02 6.9e-02 1.3e+00 1.02e+00 1.265192135e+02 1.778433972e+02 1.1e-05 1.00
19 6.3e-03 2.3e-01 3.7e-01 1.01e+00 1.562234212e+02 1.702916298e+02 2.9e-06 1.03
20 3.1e-03 3.2e-01 1.8e-01 1.00e+00 1.610305965e+02 1.681113299e+02 1.5e-06 1.06
21 1.6e-03 1.7e-01 9.8e-02 1.01e+00 1.636118663e+02 1.673821547e+02 8.0e-07 1.09
22 4.9e-04 1.4e-01 3.0e-02 1.01e+00 1.656238298e+02 1.667726746e+02 2.5e-07 1.12
23 3.1e-04 1.1e-01 1.9e-02 9.98e-01 1.659255810e+02 1.666522227e+02 1.6e-07 1.15
24 1.9e-04 7.7e-02 1.2e-02 9.85e-01 1.661265571e+02 1.665738218e+02 9.7e-08 1.18
25 1.7e-04 6.6e-02 1.0e-02 9.99e-01 1.661694693e+02 1.665613228e+02 8.5e-08 1.21
26 1.5e-04 6.0e-02 9.3e-03 1.01e+00 1.661981095e+02 1.665505255e+02 7.7e-08 1.24
27 1.3e-04 5.5e-02 8.4e-03 1.01e+00 1.662229433e+02 1.665399893e+02 6.9e-08 1.27
28 1.2e-04 5.0e-02 7.5e-03 1.01e+00 1.662454332e+02 1.665307069e+02 6.2e-08 1.30
29 1.1e-04 4.6e-02 6.8e-03 1.01e+00 1.662655820e+02 1.665222725e+02 5.6e-08 1.33
30 9.8e-05 4.2e-02 6.1e-03 1.01e+00 1.662836671e+02 1.665146434e+02 5.1e-08 1.36
31 8.8e-05 3.9e-02 5.5e-03 1.01e+00 1.662998956e+02 1.665077377e+02 4.5e-08 1.39
32 7.9e-05 3.5e-02 4.9e-03 1.01e+00 1.663144599e+02 1.665014882e+02 4.1e-08 1.42
33 7.1e-05 3.3e-02 4.4e-03 1.00e+00 1.663275311e+02 1.664958328e+02 3.7e-08 1.45
34 6.4e-05 3.0e-02 4.0e-03 1.00e+00 1.663392633e+02 1.664907157e+02 3.3e-08 1.47
35 5.8e-05 2.8e-02 3.6e-03 1.00e+00 1.663497946e+02 1.664860864e+02 3.0e-08 1.50
36 5.2e-05 2.6e-02 3.2e-03 1.00e+00 1.663592488e+02 1.664818993e+02 2.7e-08 1.53
37 4.7e-05 2.4e-02 2.9e-03 1.00e+00 1.663677370e+02 1.664781128e+02 2.4e-08 1.57
38 4.2e-05 2.2e-02 2.6e-03 1.00e+00 1.663753588e+02 1.664746893e+02 2.2e-08 1.60
39 3.8e-05 2.1e-02 2.4e-03 1.00e+00 1.663822033e+02 1.664715947e+02 2.0e-08 1.63
40 3.4e-05 2.0e-02 2.1e-03 1.00e+00 1.663883504e+02 1.664687979e+02 1.8e-08 1.66
41 3.1e-05 1.8e-02 1.9e-03 1.00e+00 1.663938716e+02 1.664662706e+02 1.6e-08 1.69
42 2.8e-05 1.7e-02 1.7e-03 1.00e+00 1.663988310e+02 1.664639872e+02 1.4e-08 1.72
43 2.5e-05 1.6e-02 1.6e-03 1.00e+00 1.664032861e+02 1.664619245e+02 1.3e-08 1.75
44 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664072886e+02 1.664600614e+02 1.2e-08 1.78
45 2.0e-05 1.5e-02 1.3e-03 1.00e+00 1.664108846e+02 1.664583787e+02 1.0e-08 1.80
46 1.8e-05 1.4e-02 1.1e-03 1.00e+00 1.664141155e+02 1.664568593e+02 9.4e-09 1.83
47 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664170187e+02 1.664554874e+02 8.5e-09 1.85
48 1.5e-05 1.3e-02 9.2e-04 1.00e+00 1.664196276e+02 1.664542488e+02 7.6e-09 1.88
49 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664219722e+02 1.664531308e+02 6.8e-09 1.90
50 1.2e-05 1.2e-02 7.4e-04 1.00e+00 1.664240793e+02 1.664521218e+02 6.2e-09 1.93
51 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.664259731e+02 1.664512113e+02 5.5e-09 1.95
52 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664276755e+02 1.664503897e+02 5.0e-09 1.98
53 8.7e-06 1.1e-02 5.4e-04 1.00e+00 1.664292057e+02 1.664496485e+02 4.5e-09 2.01
54 7.8e-06 1.0e-02 4.9e-04 1.00e+00 1.664305814e+02 1.664489799e+02 4.0e-09 2.04
55 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318181e+02 1.664483768e+02 3.6e-09 2.07
56 6.3e-06 9.9e-03 3.9e-04 1.00e+00 1.664329301e+02 1.664478330e+02 3.3e-09 2.10
57 5.7e-06 9.7e-03 3.6e-04 1.00e+00 1.664339299e+02 1.664473425e+02 2.9e-09 2.13
58 5.1e-06 9.6e-03 3.2e-04 1.00e+00 1.664348289e+02 1.664469003e+02 2.7e-09 2.16
59 4.6e-06 9.4e-03 2.9e-04 1.00e+00 1.664356373e+02 1.664465017e+02 2.4e-09 2.19
60 4.1e-06 9.2e-03 2.6e-04 1.00e+00 1.664363642e+02 1.664461422e+02 2.2e-09 2.22
61 3.7e-06 9.1e-03 2.3e-04 1.00e+00 1.664370179e+02 1.664458181e+02 1.9e-09 2.25
62 3.4e-06 9.0e-03 2.1e-04 1.00e+00 1.664376057e+02 1.664455259e+02 1.7e-09 2.28
63 3.0e-06 8.9e-03 1.9e-04 1.00e+00 1.664381342e+02 1.664452626e+02 1.6e-09 2.31
64 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386096e+02 1.664450252e+02 1.4e-09 2.34
65 2.4e-06 8.7e-03 1.5e-04 1.00e+00 1.664390371e+02 1.664448112e+02 1.3e-09 2.37
66 2.2e-06 8.6e-03 1.4e-04 1.00e+00 1.664394217e+02 1.664446185e+02 1.1e-09 2.40
67 2.0e-06 8.5e-03 1.2e-04 1.00e+00 1.664397677e+02 1.664444448e+02 1.0e-09 2.43
68 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400789e+02 1.664442884e+02 9.3e-10 2.46
69 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403589e+02 1.664441475e+02 8.3e-10 2.49
70 1.4e-06 8.3e-03 9.0e-05 1.00e+00 1.664406108e+02 1.664440206e+02 7.5e-10 2.52
71 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408374e+02 1.664439063e+02 6.8e-10 2.55
72 1.2e-06 8.2e-03 7.3e-05 1.00e+00 1.664410413e+02 1.664438033e+02 6.1e-10 2.58
73 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412247e+02 1.664437106e+02 5.5e-10 2.60
74 9.5e-07 8.1e-03 5.9e-05 1.00e+00 1.664413897e+02 1.664436270e+02 4.9e-10 2.63
75 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415382e+02 1.664435518e+02 4.4e-10 2.66
76 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416718e+02 1.664434840e+02 4.0e-10 2.69
77 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417920e+02 1.664434229e+02 3.6e-10 2.72
78 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419001e+02 1.664433679e+02 3.2e-10 2.75
79 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664419973e+02 1.664433184e+02 2.9e-10 2.77
80 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420848e+02 1.664432738e+02 2.6e-10 2.80
81 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421635e+02 1.664432336e+02 2.4e-10 2.83
82 4.1e-07 7.8e-03 2.6e-05 9.99e-01 1.664422343e+02 1.664431974e+02 2.1e-10 2.86
83 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422980e+02 1.664431647e+02 1.9e-10 2.89
84 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423553e+02 1.664431354e+02 1.7e-10 2.92
85 3.0e-07 7.7e-03 1.9e-05 9.99e-01 1.664424068e+02 1.664431090e+02 1.5e-10 2.95
86 2.7e-07 7.7e-03 1.7e-05 9.99e-01 1.664424532e+02 1.664430852e+02 1.4e-10 2.98
87 2.4e-07 7.7e-03 1.5e-05 9.99e-01 1.664424950e+02 1.664430638e+02 1.3e-10 3.00
88 2.2e-07 7.7e-03 1.4e-05 9.99e-01 1.664425325e+02 1.664430445e+02 1.1e-10 3.03
89 1.9e-07 7.6e-03 1.2e-05 9.99e-01 1.664425664e+02 1.664430271e+02 1.0e-10 3.06
90 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425968e+02 1.664430115e+02 9.1e-11 3.09
91 1.6e-07 7.6e-03 9.9e-06 1.00e+00 1.664426242e+02 1.664429974e+02 8.2e-11 3.12
92 1.4e-07 7.6e-03 8.9e-06 1.00e+00 1.664426489e+02 1.664429847e+02 7.4e-11 3.15
93 1.3e-07 7.6e-03 8.0e-06 1.00e+00 1.664426711e+02 1.664429733e+02 6.7e-11 3.18
94 1.2e-07 7.6e-03 7.2e-06 1.00e+00 1.664426910e+02 1.664429631e+02 6.0e-11 3.21
95 1.0e-07 6.8e-03 6.5e-06 1.01e+00 1.664427091e+02 1.664429537e+02 5.4e-11 3.24
96 9.3e-08 6.1e-03 5.8e-06 1.00e+00 1.664427253e+02 1.664429454e+02 4.9e-11 3.27
97 8.4e-08 5.5e-03 5.3e-06 9.99e-01 1.664427399e+02 1.664429380e+02 4.4e-11 3.30
98 7.6e-08 5.0e-03 4.7e-06 1.00e+00 1.664427530e+02 1.664429313e+02 3.9e-11 3.33
99 6.8e-08 4.5e-03 4.3e-06 1.00e+00 1.664427648e+02 1.664429252e+02 3.5e-11 3.36
100 6.1e-08 4.0e-03 3.8e-06 9.98e-01 1.664427754e+02 1.664429198e+02 3.2e-11 3.39
101 5.5e-08 3.6e-03 3.4e-06 9.95e-01 1.664427849e+02 1.664429149e+02 2.9e-11 3.42
102 5.0e-08 3.3e-03 3.1e-06 1.01e+00 1.664427936e+02 1.664429104e+02 2.6e-11 3.45
103 4.5e-08 2.9e-03 2.8e-06 1.00e+00 1.664428014e+02 1.664429064e+02 2.3e-11 3.48
104 4.0e-08 2.6e-03 2.5e-06 1.00e+00 1.664428084e+02 1.664429028e+02 2.1e-11 3.51
105 3.6e-08 2.4e-03 2.3e-06 9.92e-01 1.664428146e+02 1.664428997e+02 1.9e-11 3.53
106 3.3e-08 2.1e-03 2.0e-06 1.00e+00 1.664428202e+02 1.664428968e+02 1.7e-11 3.56
107 2.9e-08 1.9e-03 1.8e-06 9.81e-01 1.664428253e+02 1.664428942e+02 1.5e-11 3.59
108 2.6e-08 1.7e-03 1.6e-06 9.98e-01 1.664428298e+02 1.664428919e+02 1.4e-11 3.62
109 2.4e-08 1.6e-03 1.5e-06 1.02e+00 1.664428342e+02 1.664428896e+02 1.2e-11 3.65
110 2.1e-08 1.4e-03 1.3e-06 1.03e+00 1.664428383e+02 1.664428874e+02 1.1e-11 3.68
111 1.9e-08 1.3e-03 1.2e-06 1.00e+00 1.664428416e+02 1.664428858e+02 1.0e-11 3.71
112 1.7e-08 1.1e-03 1.1e-06 1.02e+00 1.664428448e+02 1.664428841e+02 9.3e-12 3.74
113 1.6e-08 1.0e-03 9.7e-07 1.10e+00 1.664428486e+02 1.664428819e+02 8.8e-12 3.77
114 1.4e-08 9.2e-04 8.8e-07 9.74e-01 1.664428509e+02 1.664428808e+02 7.9e-12 3.80
115 1.3e-08 8.3e-04 7.9e-07 1.04e+00 1.664428532e+02 1.664428796e+02 7.2e-12 3.83
116 1.2e-08 7.5e-04 7.1e-07 1.06e+00 1.664428554e+02 1.664428784e+02 6.7e-12 3.86
117 1.1e-08 6.7e-04 6.4e-07 9.92e-01 1.664428570e+02 1.664428776e+02 6.0e-12 3.89
118 9.5e-09 6.0e-04 5.7e-07 8.47e-01 1.664428583e+02 1.664428770e+02 5.4e-12 3.92
119 8.9e-09 5.4e-04 5.2e-07 9.44e-01 1.664428596e+02 1.664428765e+02 4.9e-12 3.94
120 8.7e-09 4.9e-04 4.7e-07 1.09e+00 1.664428612e+02 1.664428756e+02 4.6e-12 3.97
121 8.1e-09 4.4e-04 4.2e-07 7.20e-01 1.664428622e+02 1.664428749e+02 4.1e-12 4.00
122 7.4e-09 4.0e-04 3.8e-07 1.45e+00 1.664428631e+02 1.664428744e+02 3.7e-12 4.03
123 6.9e-09 3.6e-04 3.4e-07 8.08e-01 1.664428638e+02 1.664428743e+02 3.4e-12 4.06
124 6.1e-09 3.2e-04 3.1e-07 1.57e+00 1.664428645e+02 1.664428740e+02 3.0e-12 4.10
125 7.2e-09 2.9e-04 2.8e-07 1.87e+00 1.664428652e+02 1.664428734e+02 2.7e-12 4.13
126 8.1e-09 2.6e-04 2.5e-07 8.75e-01 1.664428657e+02 1.664428733e+02 2.4e-12 4.16
127 7.5e-09 2.3e-04 2.2e-07 8.52e-01 1.664428662e+02 1.664428731e+02 2.2e-12 4.19
128 7.0e-09 2.1e-04 2.0e-07 7.76e-01 1.664428667e+02 1.664428729e+02 2.0e-12 4.23
129 6.4e-09 1.9e-04 1.8e-07 6.22e-01 1.664428671e+02 1.664428727e+02 1.8e-12 4.26
130 6.5e-09 1.7e-04 1.6e-07 5.86e-01 1.664428674e+02 1.664428726e+02 1.6e-12 4.28
131 6.3e-09 1.5e-04 1.5e-07 4.13e-01 1.664428677e+02 1.664428725e+02 1.4e-12 4.31
132 4.7e-09 1.4e-04 1.3e-07 1.00e+00 1.664428680e+02 1.664428723e+02 1.3e-12 4.34
133 1.2e-08 1.2e-04 1.2e-07 3.09e+00 1.664428682e+02 1.664428728e+02 1.2e-12 4.37
134 1.1e-08 1.1e-04 1.1e-07 2.12e+00 1.664428684e+02 1.664428724e+02 1.0e-12 4.41
135 1.3e-08 1.0e-04 1.0e-07 4.95e+00 1.664428687e+02 1.664428719e+02 9.3e-13 4.44
Interior-point optimizer terminated. Time: 4.44.
Optimizer terminated. Time: 4.47
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286866e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6644287186e+02 Viol. con: 0e+00 var: 6e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.49 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285340962e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263517277e+05 3.573621133e+00 4.8e-01 0.63
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201360085e+05 1.023272750e+01 1.8e-01 0.66
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154380569e+05 6.426641202e+01 1.2e-01 0.69
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.128348618e+05 2.258318023e+03 1.2e-01 0.72
5 7.5e+01 9.6e+01 4.1e+03 -7.52e-01 -7.471870105e+04 9.598274511e+03 3.3e-02 0.75
6 3.0e+01 3.9e+01 1.7e+03 -1.95e-01 -4.050832509e+04 1.020868837e+04 1.3e-02 0.78
7 1.8e+01 2.3e+01 1.0e+03 3.94e-01 -2.711082460e+04 6.648802373e+03 7.9e-03 0.81
8 9.5e+00 1.2e+01 5.3e+02 6.30e-01 -1.542140781e+04 3.834874624e+03 4.2e-03 0.84
9 3.6e+00 4.7e+00 2.0e+02 8.16e-01 -5.933690883e+03 1.798169005e+03 1.6e-03 0.87
10 2.0e+00 2.6e+00 1.1e+02 9.47e-01 -3.130691494e+03 1.194462522e+03 8.9e-04 0.90
11 8.4e-01 1.1e+00 4.7e+01 9.81e-01 -1.229432238e+03 6.158750719e+02 3.8e-04 0.93
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.213195871e+03 5.912524017e+02 3.7e-04 0.96
13 5.1e-01 6.6e-01 2.9e+01 9.72e-01 -7.067492266e+02 4.266796352e+02 2.3e-04 0.98
14 3.1e-01 4.2e-01 1.8e+01 1.00e+00 -3.527334487e+02 3.410975276e+02 1.4e-04 1.01
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.762989681e+01 2.143694100e+02 5.0e-05 1.04
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.135873246e+01 2.045407061e+02 3.8e-05 1.07
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.501706523e+01 1.868879084e+02 1.9e-05 1.10
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425028169e+02 1.741741471e+02 6.6e-06 1.13
19 6.2e-03 7.2e-02 3.6e-01 1.01e+00 1.557135254e+02 1.695762542e+02 2.9e-06 1.16
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638759779e+02 1.673862737e+02 7.4e-07 1.18
21 8.0e-04 1.1e-01 4.9e-02 9.78e-01 1.650623221e+02 1.669372571e+02 4.0e-07 1.21
22 2.4e-04 1.1e-01 1.6e-02 9.90e-01 1.660031849e+02 1.665978212e+02 1.3e-07 1.24
23 1.1e-04 8.9e-02 7.5e-03 1.01e+00 1.662213065e+02 1.665057482e+02 6.3e-08 1.27
24 4.7e-05 8.5e-02 3.1e-03 1.01e+00 1.663394224e+02 1.664571340e+02 2.6e-08 1.31
25 2.2e-05 7.7e-02 1.5e-03 1.01e+00 1.663835791e+02 1.664385509e+02 1.2e-08 1.34
26 2.0e-05 7.1e-02 1.3e-03 1.00e+00 1.663881974e+02 1.664377012e+02 1.1e-08 1.37
27 1.8e-05 6.4e-02 1.2e-03 1.01e+00 1.663915599e+02 1.664361003e+02 1.0e-08 1.40
28 1.6e-05 5.9e-02 1.1e-03 1.00e+00 1.663946473e+02 1.664347269e+02 9.0e-09 1.42
29 1.4e-05 5.4e-02 9.6e-04 1.00e+00 1.663974103e+02 1.664334756e+02 8.1e-09 1.46
30 1.3e-05 4.9e-02 8.6e-04 1.00e+00 1.663998949e+02 1.664323488e+02 7.3e-09 1.49
31 1.2e-05 4.5e-02 7.7e-04 1.00e+00 1.664021274e+02 1.664313318e+02 6.5e-09 1.52
32 1.0e-05 4.1e-02 7.0e-04 1.00e+00 1.664041338e+02 1.664304145e+02 5.9e-09 1.55
33 9.4e-06 3.8e-02 6.3e-04 1.00e+00 1.664059372e+02 1.664295871e+02 5.3e-09 1.58
34 8.5e-06 3.5e-02 5.6e-04 1.00e+00 1.664075582e+02 1.664288409e+02 4.8e-09 1.61
35 7.7e-06 3.2e-02 5.1e-04 1.00e+00 1.664090154e+02 1.664281681e+02 4.3e-09 1.64
36 6.9e-06 3.0e-02 4.6e-04 1.00e+00 1.664103254e+02 1.664275614e+02 3.9e-09 1.66
37 6.2e-06 2.8e-02 4.1e-04 1.00e+00 1.664115032e+02 1.664270144e+02 3.5e-09 1.69
38 5.6e-06 2.6e-02 3.7e-04 1.00e+00 1.664125622e+02 1.664265214e+02 3.1e-09 1.72
39 5.0e-06 2.4e-02 3.3e-04 1.00e+00 1.664135144e+02 1.664260769e+02 2.8e-09 1.75
40 4.5e-06 2.2e-02 3.0e-04 1.00e+00 1.664143707e+02 1.664256763e+02 2.5e-09 1.78
41 4.1e-06 2.1e-02 2.7e-04 1.00e+00 1.664151407e+02 1.664253153e+02 2.3e-09 1.80
42 3.7e-06 2.0e-02 2.4e-04 1.00e+00 1.664158331e+02 1.664249899e+02 2.1e-09 1.83
43 3.3e-06 1.8e-02 2.2e-04 1.00e+00 1.664164557e+02 1.664246966e+02 1.8e-09 1.86
44 3.0e-06 1.7e-02 2.0e-04 1.00e+00 1.664170157e+02 1.664244323e+02 1.7e-09 1.88
45 2.7e-06 1.6e-02 1.8e-04 1.00e+00 1.664175193e+02 1.664241941e+02 1.5e-09 1.91
46 2.4e-06 1.5e-02 1.6e-04 1.00e+00 1.664179723e+02 1.664239794e+02 1.3e-09 1.93
47 2.2e-06 1.5e-02 1.4e-04 1.00e+00 1.664183798e+02 1.664237861e+02 1.2e-09 1.96
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664187463e+02 1.664236119e+02 1.1e-09 1.99
49 1.8e-06 1.3e-02 1.2e-04 1.00e+00 1.664190761e+02 1.664234551e+02 9.8e-10 2.01
50 1.6e-06 1.3e-02 1.0e-04 1.00e+00 1.664193728e+02 1.664233138e+02 8.8e-10 2.05
51 1.4e-06 1.2e-02 9.4e-05 1.00e+00 1.664196397e+02 1.664231866e+02 8.0e-10 2.08
52 1.3e-06 1.2e-02 8.5e-05 1.00e+00 1.664198799e+02 1.664230720e+02 7.2e-10 2.11
53 1.1e-06 1.1e-02 7.6e-05 1.00e+00 1.664200960e+02 1.664229689e+02 6.4e-10 2.14
54 1.0e-06 1.1e-02 6.9e-05 1.00e+00 1.664202904e+02 1.664228759e+02 5.8e-10 2.18
55 9.3e-07 1.1e-02 6.2e-05 1.00e+00 1.664204653e+02 1.664227923e+02 5.2e-10 2.21
56 8.4e-07 1.0e-02 5.6e-05 1.00e+00 1.664206226e+02 1.664227169e+02 4.7e-10 2.23
57 7.5e-07 1.0e-02 5.0e-05 1.00e+00 1.664207642e+02 1.664226491e+02 4.2e-10 2.26
58 6.8e-07 9.9e-03 4.5e-05 1.00e+00 1.664208915e+02 1.664225879e+02 3.8e-10 2.28
59 6.1e-07 9.7e-03 4.1e-05 1.00e+00 1.664210061e+02 1.664225328e+02 3.4e-10 2.31
60 5.5e-07 9.5e-03 3.6e-05 1.00e+00 1.664211092e+02 1.664224832e+02 3.1e-10 2.33
61 4.9e-07 9.3e-03 3.3e-05 1.00e+00 1.664212019e+02 1.664224385e+02 2.8e-10 2.36
62 4.4e-07 9.1e-03 3.0e-05 9.99e-01 1.664212853e+02 1.664223983e+02 2.5e-10 2.39
63 4.0e-07 9.0e-03 2.7e-05 1.00e+00 1.664213603e+02 1.664223620e+02 2.2e-10 2.42
64 3.6e-07 8.8e-03 2.4e-05 9.98e-01 1.664214278e+02 1.664223294e+02 2.0e-10 2.45
65 3.2e-07 8.7e-03 2.2e-05 1.00e+00 1.664214885e+02 1.664222999e+02 1.8e-10 2.48
66 2.9e-07 8.6e-03 1.9e-05 9.98e-01 1.664215431e+02 1.664222734e+02 1.6e-10 2.51
67 2.6e-07 8.5e-03 1.7e-05 1.00e+00 1.664215923e+02 1.664222495e+02 1.5e-10 2.54
68 2.4e-07 8.4e-03 1.6e-05 9.98e-01 1.664216365e+02 1.664222280e+02 1.3e-10 2.57
69 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664216763e+02 1.664222087e+02 1.2e-10 2.60
70 1.9e-07 8.3e-03 1.3e-05 1.00e+00 1.664217121e+02 1.664221913e+02 1.1e-10 2.63
71 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217443e+02 1.664221755e+02 9.7e-11 2.66
72 1.6e-07 8.1e-03 1.0e-05 1.00e+00 1.664217733e+02 1.664221614e+02 8.7e-11 2.69
73 1.4e-07 8.1e-03 9.3e-06 1.00e+00 1.664217995e+02 1.664221486e+02 7.8e-11 2.71
74 1.3e-07 8.1e-03 8.3e-06 1.00e+00 1.664218231e+02 1.664221370e+02 7.1e-11 2.74
75 1.1e-07 8.0e-03 7.5e-06 9.95e-01 1.664218442e+02 1.664221268e+02 6.4e-11 2.77
76 1.0e-07 7.9e-03 6.8e-06 1.00e+00 1.664218632e+02 1.664221175e+02 5.7e-11 2.80
77 9.2e-08 7.9e-03 6.1e-06 1.00e+00 1.664218803e+02 1.664221092e+02 5.1e-11 2.83
78 8.2e-08 7.9e-03 5.5e-06 1.00e+00 1.664218957e+02 1.664221017e+02 4.6e-11 2.87
79 7.4e-08 7.8e-03 4.9e-06 1.00e+00 1.664219095e+02 1.664220949e+02 4.2e-11 2.90
80 6.7e-08 7.0e-03 4.4e-06 1.01e+00 1.664219227e+02 1.664220884e+02 3.8e-11 2.93
81 6.0e-08 6.3e-03 4.0e-06 1.01e+00 1.664219343e+02 1.664220827e+02 3.4e-11 2.96
82 5.4e-08 5.7e-03 3.6e-06 9.99e-01 1.664219443e+02 1.664220779e+02 3.1e-11 2.99
83 4.9e-08 5.1e-03 3.2e-06 9.92e-01 1.664219533e+02 1.664220735e+02 2.8e-11 3.02
84 4.4e-08 4.6e-03 2.9e-06 9.81e-01 1.664219613e+02 1.664220697e+02 2.5e-11 3.06
85 3.9e-08 4.2e-03 2.6e-06 9.98e-01 1.664219686e+02 1.664220661e+02 2.2e-11 3.09
86 3.5e-08 3.7e-03 2.4e-06 9.94e-01 1.664219751e+02 1.664220629e+02 2.0e-11 3.12
87 3.2e-08 3.4e-03 2.1e-06 1.01e+00 1.664219813e+02 1.664220599e+02 1.8e-11 3.15
88 2.9e-08 3.0e-03 1.9e-06 1.02e+00 1.664219871e+02 1.664220570e+02 1.7e-11 3.18
89 2.6e-08 2.7e-03 1.7e-06 1.01e+00 1.664219921e+02 1.664220545e+02 1.5e-11 3.21
90 2.3e-08 2.5e-03 1.5e-06 9.72e-01 1.664219963e+02 1.664220526e+02 1.4e-11 3.25
91 2.1e-08 2.2e-03 1.4e-06 1.05e+00 1.664220009e+02 1.664220502e+02 1.2e-11 3.28
92 1.9e-08 2.0e-03 1.3e-06 9.88e-01 1.664220042e+02 1.664220486e+02 1.1e-11 3.31
93 1.7e-08 1.8e-03 1.1e-06 1.02e+00 1.664220074e+02 1.664220470e+02 1.0e-11 3.34
94 1.5e-08 1.6e-03 1.0e-06 1.07e+00 1.664220110e+02 1.664220452e+02 9.5e-12 3.37
95 1.4e-08 1.5e-03 9.1e-07 9.75e-01 1.664220133e+02 1.664220441e+02 8.5e-12 3.40
96 1.2e-08 1.3e-03 8.2e-07 9.00e-01 1.664220153e+02 1.664220432e+02 7.7e-12 3.43
97 1.1e-08 1.2e-03 7.4e-07 9.94e-01 1.664220172e+02 1.664220423e+02 6.9e-12 3.46
98 1.0e-08 1.1e-03 6.7e-07 1.13e+00 1.664220199e+02 1.664220409e+02 6.6e-12 3.48
99 9.1e-09 9.5e-04 6.0e-07 1.04e+00 1.664220216e+02 1.664220400e+02 6.1e-12 3.51
100 8.3e-09 8.6e-04 5.4e-07 1.04e+00 1.664220231e+02 1.664220393e+02 5.6e-12 3.54
101 7.7e-09 7.7e-04 4.9e-07 1.19e+00 1.664220251e+02 1.664220382e+02 5.5e-12 3.57
102 6.9e-09 6.9e-04 4.4e-07 9.69e-01 1.664220260e+02 1.664220378e+02 5.0e-12 3.60
103 6.3e-09 6.2e-04 3.9e-07 1.01e+00 1.664220269e+02 1.664220374e+02 4.5e-12 3.63
104 6.5e-09 3.9e-05 2.5e-08 8.53e-01 1.664220339e+02 1.664220346e+02 5.5e-13 3.67
Interior-point optimizer terminated. Time: 3.67.
Optimizer terminated. Time: 3.69
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203390e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6642203460e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.71 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285332506e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263506599e+05 3.573405912e+00 4.8e-01 0.11
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201229626e+05 1.024109097e+01 1.8e-01 0.14
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154146791e+05 6.438967971e+01 1.2e-01 0.17
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.128141990e+05 2.256493098e+03 1.2e-01 0.20
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.452166503e+04 9.623276277e+03 3.3e-02 0.24
6 3.0e+01 3.8e+01 1.7e+03 -1.92e-01 -4.039645108e+04 1.017307124e+04 1.3e-02 0.27
7 1.8e+01 2.3e+01 1.0e+03 3.96e-01 -2.710380624e+04 6.644066020e+03 7.9e-03 0.30
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.529783874e+04 3.811649995e+03 4.1e-03 0.33
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.370867243e+03 1.685457935e+03 1.5e-03 0.36
10 1.6e+00 2.1e+00 9.1e+01 9.54e-01 -2.488134547e+03 1.068014896e+03 7.3e-04 0.38
11 9.3e-01 1.2e+00 5.2e+01 9.86e-01 -1.337539222e+03 6.866596480e+02 4.1e-04 0.41
12 8.5e-01 1.1e+00 4.8e+01 9.60e-01 -1.253935944e+03 6.354890387e+02 3.8e-04 0.44
13 4.7e-01 6.1e-01 2.7e+01 9.77e-01 -6.373716658e+02 4.197188876e+02 2.1e-04 0.46
14 2.5e-01 3.3e-01 1.4e+01 1.00e+00 -2.541612369e+02 3.021281289e+02 1.1e-04 0.49
15 9.3e-02 1.5e-01 5.3e+00 1.00e+00 -3.965536640e+00 2.060660518e+02 4.3e-05 0.52
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.475353970e+01 2.084813033e+02 4.0e-05 0.55
17 6.0e-02 9.6e-02 3.4e+00 1.02e+00 6.117850652e+01 1.950768518e+02 2.8e-05 0.58
18 3.3e-02 7.2e-02 1.9e+00 1.02e+00 1.091850214e+02 1.824027635e+02 1.5e-05 0.61
19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.513703332e+02 1.718414219e+02 4.3e-06 0.64
20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602183889e+02 1.683899533e+02 1.7e-06 0.67
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642699964e+02 1.671903170e+02 6.2e-07 0.70
22 8.6e-04 1.0e-01 5.2e-02 9.84e-01 1.649681636e+02 1.669443985e+02 4.3e-07 0.74
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659690905e+02 1.665864861e+02 1.3e-07 0.77
24 9.4e-05 1.0e-01 6.1e-03 1.01e+00 1.662459039e+02 1.664756903e+02 5.1e-08 0.80
25 3.7e-05 9.5e-02 2.4e-03 1.01e+00 1.663440805e+02 1.664350960e+02 2.0e-08 0.83
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663785048e+02 1.664206580e+02 9.5e-09 0.87
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663820228e+02 1.664199767e+02 8.5e-09 0.90
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663846095e+02 1.664187607e+02 7.7e-09 0.93
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663869814e+02 1.664177120e+02 6.9e-09 0.97
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663891059e+02 1.664167591e+02 6.2e-09 1.01
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663910165e+02 1.664159008e+02 5.6e-09 1.05
32 9.1e-06 4.7e-02 5.9e-04 1.00e+00 1.663927338e+02 1.664151267e+02 5.0e-09 1.08
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663942776e+02 1.664144287e+02 4.5e-09 1.12
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663956655e+02 1.664137996e+02 4.1e-09 1.15
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969134e+02 1.664132325e+02 3.7e-09 1.18
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663980355e+02 1.664127213e+02 3.3e-09 1.21
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663990445e+02 1.664122607e+02 3.0e-09 1.25
38 4.8e-06 2.9e-02 3.2e-04 1.00e+00 1.663999518e+02 1.664118456e+02 2.7e-09 1.28
39 4.3e-06 2.6e-02 2.8e-04 1.00e+00 1.664007678e+02 1.664114715e+02 2.4e-09 1.31
40 3.9e-06 2.5e-02 2.6e-04 1.00e+00 1.664015016e+02 1.664111344e+02 2.2e-09 1.34
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664021615e+02 1.664108305e+02 2.0e-09 1.37
42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027549e+02 1.664105567e+02 1.8e-09 1.40
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664032887e+02 1.664103100e+02 1.6e-09 1.43
44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037688e+02 1.664100877e+02 1.4e-09 1.46
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042006e+02 1.664098875e+02 1.3e-09 1.49
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045891e+02 1.664097072e+02 1.2e-09 1.52
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049386e+02 1.664095448e+02 1.0e-09 1.55
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052531e+02 1.664093985e+02 9.4e-10 1.58
49 1.5e-06 1.4e-02 9.9e-05 1.00e+00 1.664055359e+02 1.664092669e+02 8.4e-10 1.60
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664057905e+02 1.664091482e+02 7.6e-10 1.63
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060195e+02 1.664090414e+02 6.8e-10 1.65
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062255e+02 1.664089452e+02 6.1e-10 1.68
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064109e+02 1.664088586e+02 5.5e-10 1.70
54 8.9e-07 1.2e-02 5.9e-05 1.00e+00 1.664065777e+02 1.664087805e+02 5.0e-10 1.73
55 8.0e-07 1.1e-02 5.3e-05 1.00e+00 1.664067278e+02 1.664087103e+02 4.5e-10 1.76
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068628e+02 1.664086471e+02 4.0e-10 1.79
57 6.5e-07 1.0e-02 4.3e-05 1.00e+00 1.664069842e+02 1.664085901e+02 3.6e-10 1.82
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664070935e+02 1.664085387e+02 3.3e-10 1.85
59 5.3e-07 9.9e-03 3.5e-05 1.00e+00 1.664071918e+02 1.664084925e+02 2.9e-10 1.88
60 4.7e-07 9.7e-03 3.1e-05 9.99e-01 1.664072802e+02 1.664084509e+02 2.6e-10 1.91
61 4.3e-07 9.5e-03 2.8e-05 1.00e+00 1.664073597e+02 1.664084133e+02 2.4e-10 1.94
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074312e+02 1.664083795e+02 2.1e-10 1.97
63 3.5e-07 9.1e-03 2.3e-05 1.00e+00 1.664074956e+02 1.664083491e+02 1.9e-10 2.00
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075535e+02 1.664083216e+02 1.7e-10 2.03
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076056e+02 1.664082968e+02 1.6e-10 2.06
66 2.5e-07 8.7e-03 1.7e-05 1.00e+00 1.664076524e+02 1.664082745e+02 1.4e-10 2.09
67 2.3e-07 8.6e-03 1.5e-05 9.99e-01 1.664076946e+02 1.664082545e+02 1.3e-10 2.11
68 2.0e-07 8.5e-03 1.3e-05 1.00e+00 1.664077325e+02 1.664082364e+02 1.1e-10 2.14
69 1.8e-07 8.4e-03 1.2e-05 9.99e-01 1.664077667e+02 1.664082202e+02 1.0e-10 2.17
70 1.7e-07 8.3e-03 1.1e-05 1.00e+00 1.664077974e+02 1.664082055e+02 9.2e-11 2.20
71 1.5e-07 8.2e-03 9.8e-06 9.98e-01 1.664078250e+02 1.664081923e+02 8.3e-11 2.23
72 1.3e-07 8.2e-03 8.8e-06 9.99e-01 1.664078499e+02 1.664081805e+02 7.5e-11 2.26
73 1.2e-07 8.1e-03 7.9e-06 1.00e+00 1.664078723e+02 1.664081698e+02 6.7e-11 2.29
74 1.1e-07 8.0e-03 7.1e-06 9.96e-01 1.664078924e+02 1.664081602e+02 6.1e-11 2.32
75 9.8e-08 8.0e-03 6.4e-06 9.96e-01 1.664079105e+02 1.664081516e+02 5.4e-11 2.34
76 8.8e-08 7.9e-03 5.8e-06 1.00e+00 1.664079268e+02 1.664081438e+02 4.9e-11 2.37
77 7.9e-08 7.1e-03 5.2e-06 1.01e+00 1.664079419e+02 1.664081366e+02 4.4e-11 2.40
78 7.1e-08 6.4e-03 4.7e-06 1.00e+00 1.664079550e+02 1.664081303e+02 4.0e-11 2.43
79 6.4e-08 5.8e-03 4.2e-06 1.00e+00 1.664079669e+02 1.664081246e+02 3.6e-11 2.46
80 5.8e-08 5.2e-03 3.8e-06 9.96e-01 1.664079776e+02 1.664081195e+02 3.2e-11 2.50
81 5.2e-08 4.7e-03 3.4e-06 9.96e-01 1.664079872e+02 1.664081150e+02 2.9e-11 2.53
82 4.7e-08 4.2e-03 3.1e-06 9.89e-01 1.664079958e+02 1.664081109e+02 2.6e-11 2.55
83 4.2e-08 3.8e-03 2.8e-06 9.89e-01 1.664080036e+02 1.664081072e+02 2.4e-11 2.58
84 3.8e-08 3.4e-03 2.5e-06 9.91e-01 1.664080106e+02 1.664081039e+02 2.1e-11 2.61
85 3.4e-08 3.1e-03 2.2e-06 9.99e-01 1.664080169e+02 1.664081008e+02 1.9e-11 2.64
86 3.1e-08 2.8e-03 2.0e-06 9.88e-01 1.664080225e+02 1.664080981e+02 1.7e-11 2.67
87 2.8e-08 2.5e-03 1.8e-06 1.05e+00 1.664080287e+02 1.664080950e+02 1.6e-11 2.70
88 2.5e-08 2.2e-03 1.6e-06 9.81e-01 1.664080331e+02 1.664080929e+02 1.4e-11 2.72
89 2.2e-08 2.0e-03 1.5e-06 1.01e+00 1.664080373e+02 1.664080909e+02 1.3e-11 2.75
90 2.0e-08 1.8e-03 1.3e-06 1.00e+00 1.664080409e+02 1.664080892e+02 1.2e-11 2.78
91 1.8e-08 1.6e-03 1.2e-06 1.02e+00 1.664080444e+02 1.664080875e+02 1.0e-11 2.81
92 1.6e-08 1.5e-03 1.1e-06 1.01e+00 1.664080474e+02 1.664080861e+02 9.4e-12 2.84
93 1.5e-08 1.3e-03 9.6e-07 1.08e+00 1.664080509e+02 1.664080842e+02 8.8e-12 2.87
94 1.3e-08 1.2e-03 8.7e-07 1.00e+00 1.664080532e+02 1.664080832e+02 7.9e-12 2.90
95 1.2e-08 1.1e-03 7.8e-07 1.09e+00 1.664080561e+02 1.664080817e+02 7.5e-12 2.93
96 1.1e-08 9.6e-04 7.0e-07 1.04e+00 1.664080581e+02 1.664080807e+02 6.8e-12 2.96
97 9.7e-09 8.7e-04 6.3e-07 1.08e+00 1.664080602e+02 1.664080797e+02 6.4e-12 2.99
98 8.7e-09 7.8e-04 5.7e-07 9.49e-01 1.664080616e+02 1.664080791e+02 5.8e-12 3.02
99 7.9e-09 7.0e-04 5.1e-07 9.41e-01 1.664080628e+02 1.664080786e+02 5.2e-12 3.05
100 7.3e-09 6.3e-04 4.6e-07 1.09e+00 1.664080643e+02 1.664080778e+02 4.9e-12 3.08
101 6.6e-09 5.7e-04 4.1e-07 1.00e+00 1.664080652e+02 1.664080774e+02 4.4e-12 3.11
102 6.0e-09 5.1e-04 3.7e-07 1.36e+00 1.664080661e+02 1.664080769e+02 4.0e-12 3.15
103 5.3e-09 4.6e-04 3.4e-07 8.71e-01 1.664080668e+02 1.664080766e+02 3.6e-12 3.18
104 4.8e-09 4.1e-04 3.0e-07 9.67e-01 1.664080675e+02 1.664080763e+02 3.2e-12 3.21
105 4.3e-09 3.7e-04 2.7e-07 9.00e-01 1.664080681e+02 1.664080761e+02 2.9e-12 3.24
106 3.9e-09 3.4e-04 2.4e-07 9.12e-01 1.664080686e+02 1.664080758e+02 2.6e-12 3.27
107 3.9e-09 3.4e-04 2.4e-07 1.13e+00 1.664080686e+02 1.664080758e+02 2.6e-12 3.30
108 3.5e-09 3.0e-04 2.2e-07 8.99e-01 1.664080691e+02 1.664080756e+02 2.3e-12 3.33
109 3.3e-09 2.7e-04 2.0e-07 9.80e-01 1.664080695e+02 1.664080754e+02 2.1e-12 3.36
110 3.3e-09 2.7e-04 2.0e-07 1.06e+00 1.664080695e+02 1.664080754e+02 2.1e-12 3.40
111 3.1e-09 2.4e-04 1.8e-07 1.21e+00 1.664080700e+02 1.664080752e+02 1.9e-12 3.43
112 2.6e-09 2.2e-04 1.6e-07 9.46e-01 1.664080703e+02 1.664080751e+02 1.7e-12 3.46
113 2.3e-09 2.0e-04 1.4e-07 9.82e-01 1.664080706e+02 1.664080749e+02 1.5e-12 3.50
114 2.3e-09 2.0e-04 1.4e-07 1.18e+00 1.664080706e+02 1.664080749e+02 1.5e-12 3.53
115 2.2e-09 1.8e-04 1.3e-07 1.34e+00 1.664080709e+02 1.664080747e+02 1.4e-12 3.57
116 2.2e-09 1.6e-04 1.2e-07 1.28e+00 1.664080712e+02 1.664080746e+02 1.2e-12 3.60
117 2.2e-09 1.6e-04 1.2e-07 1.76e+00 1.664080712e+02 1.664080746e+02 1.2e-12 3.64
118 3.4e-09 1.9e-05 1.4e-08 6.86e-01 1.664080734e+02 1.664080739e+02 2.8e-13 3.67
Interior-point optimizer terminated. Time: 3.67.
Optimizer terminated. Time: 3.69
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807342e+02 Viol. con: 8e-08 var: 0e+00
Dual. obj: 1.6640807389e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.72 seconds.
Solving took 9 GP solves and 43.9 seconds.
Solves with these variables bounded:
value near lower bound: Mission.CruiseAlt
value near upper bound: Mission.Aircraft.HorizontalTail.WingBox.M_{r_{out}}, Mission.Aircraft.Engine.Thrust.\alpha_{max}, Mission.Aircraft.Wing.WingNoStruct.A_{tri}, Mission.TotalTime, Mission.Aircraft.LandingGear.d_{nacelle}, Mission.T_{t_{4.1_{max-Cruise}}}
Checking for relaxed constants...
Solution check warning: Primal solution computed cost did not match solver-returned cost: 1.4957388100613443e+110 vs 1.49570708145e+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: 3.705394722545442e+72 vs 3.7052438642e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682432]
Total Aircraft Weight Percent Diff: [-21.48057063]
Engine Weight Percent Diff: -56.27829668983653
Fuselage Weight Percent Diff: -0.8697421201380495
Payload Weight Percent Diff: [-0.04003561]
VT Weight Percent Diff: -8.60794444639285
HT Weight Percent Diff: -93.23331510331145
Wing Weight Percent Diff: 8.267532883725554
WING DIFFERENCES
Wing Span Percent Diff: -0.029992956701841992
Wing Area Percent Diff: 32.899682279203574
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.488538871585206
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022356715191894
VT Area Percent Diff: -60.38685013373645
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54715617]
L/D Percent Diff: [24.0102346]
Nacelle Cd Percent Diff: [-94.27641582]
HT Cd Percent Diff: [-80.76941658] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00292333] dimensionless
Wing Cd percent Diff: [-14.22909992]
Induced Drag Cd Percent Diff: [1.21950711]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035702]
FUSELAGE DIFFERENCES
Weight of HB material: -38.36119035773729
Weight of VB material: 87.81619627095348
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260512]
Mission1
========
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission1.Aircraft.Wing.WingBox.N_{lift} = 3
Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission1.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission1.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*Mission1.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission1.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission1.Aircraft.Wing.WingBox.r_{w/c} = Mission1.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission1.Aircraft.Fuselage.N_{lift} = Mission1.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission1.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission1.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission1.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission1.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3438 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.09 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.06
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 0.11
1 1.1e+03 1.4e+03 6.3e+04 -9.71e-01 -1.260360597e+05 3.611424052e+00 4.9e-01 0.32
2 4.1e+02 5.3e+02 2.3e+04 -9.38e-01 -1.195206719e+05 1.063331153e+01 1.8e-01 0.36
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.151942168e+05 6.795829655e+01 1.3e-01 0.39
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127212826e+05 2.109723808e+03 1.3e-01 0.42
5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.071413615e+04 8.411072422e+03 3.9e-02 0.45
6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.787028059e+04 1.016025756e+04 1.6e-02 0.48
7 2.1e+01 2.8e+01 1.2e+03 2.52e-01 -3.173778936e+04 7.155034269e+03 9.5e-03 0.52
8 9.4e+00 1.2e+01 5.3e+02 5.36e-01 -1.511150083e+04 4.167123567e+03 4.2e-03 0.55
9 5.5e+00 7.1e+00 3.1e+02 8.14e-01 -8.836155418e+03 2.832992813e+03 2.5e-03 0.58
10 1.3e+00 1.7e+00 7.6e+01 9.07e-01 -2.021517100e+03 9.278094940e+02 6.1e-04 0.61
11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.292899266e+02 7.204982019e+02 3.2e-04 0.64
12 4.7e-01 6.1e-01 2.7e+01 9.97e-01 -4.810408396e+02 5.632816117e+02 2.1e-04 0.67
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.119899248e+02 4.857188935e+02 1.6e-04 0.70
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.727746611e+01 3.656933383e+02 7.9e-05 0.73
15 5.5e-02 1.5e-01 3.2e+00 9.94e-01 1.624902967e+02 2.901499707e+02 2.7e-05 0.75
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.999027139e+02 2.746125040e+02 1.6e-05 0.79
17 5.1e-03 1.8e-01 3.2e-01 1.00e+00 2.445305033e+02 2.572371524e+02 2.8e-06 0.82
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509424510e+02 2.546897023e+02 8.3e-07 0.85
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527845502e+02 2.540210950e+02 2.8e-07 0.88
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532880856e+02 2.538352203e+02 1.2e-07 0.91
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533292209e+02 2.538216573e+02 1.1e-07 0.94
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533650962e+02 2.538082643e+02 1.0e-07 0.97
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533974267e+02 2.537962616e+02 9.0e-08 1.00
24 1.4e-04 5.9e-02 9.2e-03 1.00e+00 2.534264980e+02 2.537854354e+02 8.1e-08 1.03
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534526435e+02 2.537756756e+02 7.3e-08 1.06
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534761571e+02 2.537668763e+02 6.5e-08 1.09
27 1.0e-04 4.5e-02 6.7e-03 1.00e+00 2.534973060e+02 2.537589453e+02 5.9e-08 1.12
28 9.0e-05 4.1e-02 6.1e-03 1.00e+00 2.535163290e+02 2.537517977e+02 5.3e-08 1.15
29 8.1e-05 3.8e-02 5.4e-03 1.00e+00 2.535334405e+02 2.537453571e+02 4.8e-08 1.18
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535488334e+02 2.537395540e+02 4.3e-08 1.21
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535626808e+02 2.537343259e+02 3.9e-08 1.24
32 5.9e-05 3.0e-02 4.0e-03 1.00e+00 2.535751383e+02 2.537296160e+02 3.5e-08 1.26
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535863455e+02 2.537253733e+02 3.1e-08 1.29
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535964283e+02 2.537215515e+02 2.8e-08 1.32
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536054996e+02 2.537181092e+02 2.5e-08 1.34
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536136611e+02 2.537150086e+02 2.3e-08 1.38
37 3.5e-05 2.0e-02 2.3e-03 1.00e+00 2.536210042e+02 2.537122161e+02 2.1e-08 1.41
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276109e+02 2.537097011e+02 1.9e-08 1.44
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536335554e+02 2.537074360e+02 1.7e-08 1.47
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389040e+02 2.537053962e+02 1.5e-08 1.50
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536437166e+02 2.537035594e+02 1.3e-08 1.53
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536480470e+02 2.537019053e+02 1.2e-08 1.56
43 1.9e-05 1.4e-02 1.2e-03 1.00e+00 2.536519435e+02 2.537004159e+02 1.1e-08 1.59
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554497e+02 2.536990747e+02 9.8e-09 1.62
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586047e+02 2.536978672e+02 8.9e-09 1.64
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614438e+02 2.536967800e+02 8.0e-09 1.67
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536639986e+02 2.536958012e+02 7.2e-09 1.71
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536662977e+02 2.536949200e+02 6.5e-09 1.74
49 9.9e-06 1.1e-02 6.6e-04 1.00e+00 2.536683666e+02 2.536941267e+02 5.8e-09 1.77
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536702284e+02 2.536934125e+02 5.2e-09 1.80
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536719038e+02 2.536927697e+02 4.7e-09 1.83
52 7.2e-06 1.0e-02 4.8e-04 1.00e+00 2.536734116e+02 2.536921909e+02 4.2e-09 1.85
53 6.5e-06 9.9e-03 4.3e-04 1.00e+00 2.536747685e+02 2.536916699e+02 3.8e-09 1.88
54 5.8e-06 9.6e-03 3.9e-04 1.00e+00 2.536759897e+02 2.536912009e+02 3.4e-09 1.91
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770886e+02 2.536907788e+02 3.1e-09 1.93
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780776e+02 2.536903988e+02 2.8e-09 1.96
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789676e+02 2.536900567e+02 2.5e-09 1.99
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797686e+02 2.536897487e+02 2.3e-09 2.02
59 3.4e-06 8.7e-03 2.3e-04 1.00e+00 2.536804894e+02 2.536894716e+02 2.0e-09 2.05
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811381e+02 2.536892220e+02 1.8e-09 2.08
61 1.2e-06 3.3e-03 8.1e-05 1.00e+00 2.536846984e+02 2.536878513e+02 7.1e-10 2.11
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849266e+02 2.536877643e+02 6.4e-10 2.14
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862390e+02 2.536872586e+02 2.3e-10 2.17
64 3.5e-07 9.7e-04 2.4e-05 1.00e+00 2.536863126e+02 2.536872303e+02 2.1e-10 2.21
65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863788e+02 2.536872047e+02 1.9e-10 2.24
66 2.8e-07 7.9e-04 1.9e-05 1.00e+00 2.536864385e+02 2.536871817e+02 1.7e-10 2.27
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864921e+02 2.536871610e+02 1.5e-10 2.30
68 2.3e-07 6.4e-04 1.5e-05 1.00e+00 2.536865404e+02 2.536871424e+02 1.4e-10 2.33
69 2.1e-07 5.7e-04 1.4e-05 9.99e-01 2.536865838e+02 2.536871257e+02 1.2e-10 2.36
70 1.9e-07 5.2e-04 1.3e-05 9.99e-01 2.536866229e+02 2.536871106e+02 1.1e-10 2.40
71 1.7e-07 4.7e-04 1.1e-05 9.99e-01 2.536866581e+02 2.536870970e+02 9.9e-11 2.43
72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866898e+02 2.536870848e+02 8.9e-11 2.46
73 1.4e-07 3.8e-04 9.1e-06 1.00e+00 2.536867183e+02 2.536870738e+02 8.0e-11 2.49
74 1.2e-07 3.4e-04 8.2e-06 1.00e+00 2.536867439e+02 2.536870638e+02 7.2e-11 2.52
75 1.1e-07 3.1e-04 7.4e-06 1.00e+00 2.536867670e+02 2.536870549e+02 6.5e-11 2.55
76 9.9e-08 2.7e-04 6.7e-06 1.00e+00 2.536867878e+02 2.536870469e+02 5.8e-11 2.58
77 8.9e-08 2.5e-04 6.0e-06 1.00e+00 2.536868065e+02 2.536870397e+02 5.3e-11 2.61
78 8.0e-08 2.2e-04 5.4e-06 1.00e+00 2.536868233e+02 2.536870332e+02 4.7e-11 2.65
79 7.2e-08 2.0e-04 4.9e-06 9.97e-01 2.536868384e+02 2.536870273e+02 4.3e-11 2.68
80 6.5e-08 1.8e-04 4.4e-06 1.00e+00 2.536868521e+02 2.536870221e+02 3.8e-11 2.71
81 5.9e-08 1.6e-04 3.9e-06 1.00e+00 2.536868644e+02 2.536870173e+02 3.5e-11 2.74
82 5.3e-08 1.5e-04 3.5e-06 9.98e-01 2.536868754e+02 2.536870131e+02 3.1e-11 2.77
83 4.8e-08 1.3e-04 3.2e-06 9.99e-01 2.536868853e+02 2.536870092e+02 2.8e-11 2.81
84 4.3e-08 1.2e-04 2.9e-06 1.00e+00 2.536868943e+02 2.536870057e+02 2.5e-11 2.84
85 3.8e-08 1.1e-04 2.6e-06 9.96e-01 2.536869023e+02 2.536870027e+02 2.3e-11 2.87
86 3.5e-08 9.6e-05 2.3e-06 1.00e+00 2.536869096e+02 2.536869998e+02 2.0e-11 2.90
87 3.1e-08 8.6e-05 2.1e-06 9.96e-01 2.536869161e+02 2.536869973e+02 1.8e-11 2.93
88 2.8e-08 7.8e-05 1.9e-06 1.00e+00 2.536869220e+02 2.536869951e+02 1.7e-11 2.96
89 2.5e-08 7.0e-05 1.7e-06 1.00e+00 2.536869273e+02 2.536869930e+02 1.5e-11 3.00
90 2.3e-08 6.3e-05 1.5e-06 1.01e+00 2.536869321e+02 2.536869911e+02 1.3e-11 3.03
91 2.0e-08 5.7e-05 1.4e-06 9.97e-01 2.536869364e+02 2.536869895e+02 1.2e-11 3.05
92 1.8e-08 5.1e-05 1.2e-06 1.01e+00 2.536869403e+02 2.536869879e+02 1.1e-11 3.08
93 1.7e-08 4.6e-05 1.1e-06 1.01e+00 2.536869439e+02 2.536869865e+02 9.9e-12 3.10
94 1.5e-08 4.1e-05 1.0e-06 9.98e-01 2.536869470e+02 2.536869853e+02 8.9e-12 3.13
95 1.3e-08 3.7e-05 9.0e-07 1.00e+00 2.536869498e+02 2.536869843e+02 8.0e-12 3.16
96 1.2e-08 3.3e-05 8.1e-07 1.00e+00 2.536869523e+02 2.536869833e+02 7.2e-12 3.19
97 1.1e-08 3.0e-05 7.3e-07 1.01e+00 2.536869545e+02 2.536869824e+02 6.5e-12 3.22
98 9.8e-09 2.7e-05 6.6e-07 9.90e-01 2.536869565e+02 2.536869816e+02 5.8e-12 3.25
Interior-point optimizer terminated. Time: 3.26.
Optimizer terminated. Time: 3.28
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695654e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698165e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.31 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.07 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281787446e+05 2.000000000e+00 1.0e+00 0.09
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.259414228e+05 3.780941016e+00 4.7e-01 0.13
2 4.6e+02 5.9e+02 2.6e+04 -9.35e-01 -1.205918795e+05 9.868922464e+00 2.0e-01 0.16
3 2.9e+02 3.7e+02 1.6e+04 -8.50e-01 -1.154239527e+05 5.250197661e+01 1.3e-01 0.20
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.133019475e+05 1.862130071e+03 1.3e-01 0.23
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.812142135e+04 9.031239867e+03 3.6e-02 0.26
6 3.6e+01 4.6e+01 2.0e+03 -2.53e-01 -4.675648608e+04 1.010078032e+04 1.6e-02 0.29
7 1.9e+01 2.4e+01 1.0e+03 2.76e-01 -2.801894209e+04 6.402312675e+03 8.2e-03 0.32
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.471216458e+04 4.005088025e+03 4.0e-03 0.35
9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.206577887e+03 2.776623724e+03 2.5e-03 0.38
10 1.9e+00 2.4e+00 1.1e+02 9.02e-01 -2.967188464e+03 1.150548972e+03 8.4e-04 0.41
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.411824580e+03 1.013250381e+03 7.0e-04 0.44
12 1.0e+00 1.4e+00 5.6e+01 9.78e-01 -1.467425791e+03 7.220755630e+02 4.4e-04 0.47
13 4.6e-01 6.8e-01 2.6e+01 9.83e-01 -5.896883966e+02 4.319681694e+02 2.1e-04 0.50
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.320840824e+02 3.288887977e+02 1.1e-04 0.53
15 1.0e-01 1.6e-01 5.7e+00 1.00e+00 1.044650958e+01 2.360029584e+02 4.6e-05 0.56
16 4.7e-02 1.0e-01 2.7e+00 1.00e+00 9.574900768e+01 2.020284337e+02 2.2e-05 0.59
17 1.0e-02 1.4e-01 6.2e-01 1.01e+00 1.548431119e+02 1.790677321e+02 5.2e-06 0.61
18 6.3e-03 1.0e-01 3.9e-01 1.01e+00 1.614292046e+02 1.765011122e+02 3.2e-06 0.64
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.695627739e+02 1.734405849e+02 8.5e-07 0.67
20 3.4e-04 1.4e-01 2.2e-02 1.01e+00 1.717721241e+02 1.726293360e+02 1.9e-07 0.70
21 1.4e-04 1.0e-01 9.5e-03 9.94e-01 1.721372138e+02 1.725037900e+02 8.3e-08 0.73
22 8.9e-05 8.2e-02 6.0e-03 1.00e+00 1.722347055e+02 1.724653291e+02 5.2e-08 0.76
23 8.0e-05 7.6e-02 5.4e-03 1.00e+00 1.722527903e+02 1.724604212e+02 4.7e-08 0.79
24 7.2e-05 6.9e-02 4.8e-03 1.00e+00 1.722680411e+02 1.724549097e+02 4.2e-08 0.82
25 6.5e-05 6.3e-02 4.3e-03 1.00e+00 1.722818158e+02 1.724499966e+02 3.8e-08 0.85
26 5.9e-05 5.7e-02 3.9e-03 1.00e+00 1.722941842e+02 1.724455455e+02 3.4e-08 0.88
27 5.3e-05 5.2e-02 3.5e-03 1.00e+00 1.723053033e+02 1.724415268e+02 3.1e-08 0.91
28 4.7e-05 4.8e-02 3.2e-03 1.00e+00 1.723152954e+02 1.724378950e+02 2.8e-08 0.94
29 4.3e-05 4.4e-02 2.8e-03 1.00e+00 1.723242746e+02 1.724346129e+02 2.5e-08 0.97
30 3.8e-05 4.0e-02 2.6e-03 1.00e+00 1.723323437e+02 1.724316468e+02 2.2e-08 1.00
31 3.5e-05 3.7e-02 2.3e-03 1.00e+00 1.723395949e+02 1.724289667e+02 2.0e-08 1.03
32 3.1e-05 3.4e-02 2.1e-03 1.00e+00 1.723461119e+02 1.724265456e+02 1.8e-08 1.06
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723519695e+02 1.724243591e+02 1.6e-08 1.09
34 2.5e-05 2.9e-02 1.7e-03 1.00e+00 1.723572350e+02 1.724223851e+02 1.5e-08 1.12
35 2.3e-05 2.7e-02 1.5e-03 1.00e+00 1.723619689e+02 1.724206036e+02 1.3e-08 1.15
36 2.0e-05 2.5e-02 1.4e-03 1.00e+00 1.723662253e+02 1.724189961e+02 1.2e-08 1.18
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723700525e+02 1.724175460e+02 1.1e-08 1.21
38 1.7e-05 2.2e-02 1.1e-03 1.00e+00 1.723734942e+02 1.724162381e+02 9.7e-09 1.24
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723765893e+02 1.724150588e+02 8.7e-09 1.27
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723793730e+02 1.724139954e+02 7.8e-09 1.31
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723818766e+02 1.724130368e+02 7.1e-09 1.34
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723841285e+02 1.724121726e+02 6.4e-09 1.37
43 9.8e-06 1.6e-02 6.5e-04 1.00e+00 1.723861541e+02 1.724113938e+02 5.7e-09 1.40
44 8.8e-06 1.5e-02 5.9e-04 1.00e+00 1.723879761e+02 1.724106918e+02 5.1e-09 1.43
45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723896151e+02 1.724100593e+02 4.6e-09 1.46
46 7.1e-06 1.4e-02 4.8e-04 1.00e+00 1.723910895e+02 1.724094894e+02 4.2e-09 1.49
47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723924160e+02 1.724089759e+02 3.8e-09 1.52
48 5.8e-06 1.3e-02 3.9e-04 1.00e+00 1.723936093e+02 1.724085132e+02 3.4e-09 1.55
49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723946829e+02 1.724080964e+02 3.0e-09 1.58
50 4.7e-06 1.2e-02 3.1e-04 1.00e+00 1.723956487e+02 1.724077210e+02 2.7e-09 1.61
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965178e+02 1.724073829e+02 2.5e-09 1.64
52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723972996e+02 1.724070783e+02 2.2e-09 1.67
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980032e+02 1.724068040e+02 2.0e-09 1.70
54 3.1e-06 1.0e-02 2.0e-04 1.00e+00 1.723986361e+02 1.724065569e+02 1.8e-09 1.73
55 2.8e-06 1.0e-02 1.8e-04 1.00e+00 1.723992057e+02 1.724063344e+02 1.6e-09 1.76
56 2.5e-06 9.7e-03 1.7e-04 1.00e+00 1.723997182e+02 1.724061341e+02 1.5e-09 1.79
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001793e+02 1.724059537e+02 1.3e-09 1.82
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724005943e+02 1.724057912e+02 1.2e-09 1.85
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009676e+02 1.724056449e+02 1.1e-09 1.88
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013036e+02 1.724055132e+02 9.5e-10 1.91
61 1.5e-06 8.8e-03 9.8e-05 1.00e+00 1.724016059e+02 1.724053946e+02 8.6e-10 1.94
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018780e+02 1.724052878e+02 7.7e-10 1.97
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021228e+02 1.724051916e+02 7.0e-10 2.00
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023431e+02 1.724051050e+02 6.3e-10 2.04
65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025413e+02 1.724050271e+02 5.6e-10 2.08
66 8.7e-07 8.3e-03 5.8e-05 1.00e+00 1.724027197e+02 1.724049569e+02 5.1e-10 2.12
67 7.8e-07 8.2e-03 5.2e-05 1.00e+00 1.724028802e+02 1.724048937e+02 4.6e-10 2.16
68 7.0e-07 8.1e-03 4.7e-05 1.00e+00 1.724030246e+02 1.724048368e+02 4.1e-10 2.19
69 6.3e-07 8.0e-03 4.2e-05 1.00e+00 1.724031546e+02 1.724047856e+02 3.7e-10 2.22
70 5.7e-07 8.0e-03 3.8e-05 1.00e+00 1.724032716e+02 1.724047395e+02 3.3e-10 2.25
71 5.1e-07 7.9e-03 3.4e-05 1.00e+00 1.724033769e+02 1.724046979e+02 3.0e-10 2.28
72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034716e+02 1.724046605e+02 2.7e-10 2.31
73 4.1e-07 7.8e-03 2.8e-05 1.00e+00 1.724035568e+02 1.724046269e+02 2.4e-10 2.34
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036335e+02 1.724045966e+02 2.2e-10 2.37
75 3.4e-07 7.7e-03 2.2e-05 1.00e+00 1.724037025e+02 1.724045693e+02 2.0e-10 2.40
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037647e+02 1.724045447e+02 1.8e-10 2.43
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038205e+02 1.724045226e+02 1.6e-10 2.46
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038708e+02 1.724045027e+02 1.4e-10 2.49
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039161e+02 1.724044848e+02 1.3e-10 2.52
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039569e+02 1.724044687e+02 1.2e-10 2.55
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039935e+02 1.724044541e+02 1.0e-10 2.58
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040265e+02 1.724044411e+02 9.4e-11 2.61
83 1.4e-07 7.5e-03 9.6e-06 9.99e-01 1.724040562e+02 1.724044293e+02 8.5e-11 2.64
84 1.3e-07 7.5e-03 8.7e-06 1.00e+00 1.724040829e+02 1.724044187e+02 7.6e-11 2.67
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041069e+02 1.724044092e+02 6.9e-11 2.70
86 1.1e-07 7.4e-03 7.0e-06 1.00e+00 1.724041286e+02 1.724044006e+02 6.2e-11 2.73
87 9.5e-08 7.4e-03 6.3e-06 1.00e+00 1.724041480e+02 1.724043928e+02 5.6e-11 2.76
88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041655e+02 1.724043859e+02 5.0e-11 2.79
89 7.7e-08 7.4e-03 5.1e-06 1.00e+00 1.724041813e+02 1.724043796e+02 4.5e-11 2.82
90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041955e+02 1.724043740e+02 4.0e-11 2.85
91 6.2e-08 7.4e-03 4.2e-06 1.00e+00 1.724042083e+02 1.724043689e+02 3.6e-11 2.87
92 5.6e-08 7.3e-03 3.7e-06 1.00e+00 1.724042198e+02 1.724043643e+02 3.3e-11 2.90
93 5.0e-08 7.3e-03 3.4e-06 1.00e+00 1.724042301e+02 1.724043602e+02 3.0e-11 2.92
94 4.5e-08 7.3e-03 3.0e-06 1.00e+00 1.724042394e+02 1.724043565e+02 2.7e-11 2.95
95 4.1e-08 7.3e-03 2.7e-06 9.98e-01 1.724042478e+02 1.724043532e+02 2.4e-11 2.97
96 3.7e-08 7.3e-03 2.5e-06 1.00e+00 1.724042553e+02 1.724043502e+02 2.2e-11 3.00
97 3.3e-08 7.3e-03 2.2e-06 1.00e+00 1.724042621e+02 1.724043474e+02 1.9e-11 3.03
98 3.0e-08 7.3e-03 2.0e-06 1.00e+00 1.724042682e+02 1.724043450e+02 1.7e-11 3.06
99 2.7e-08 7.3e-03 1.8e-06 1.00e+00 1.724042737e+02 1.724043428e+02 1.6e-11 3.09
100 2.4e-08 7.3e-03 1.6e-06 1.00e+00 1.724042786e+02 1.724043408e+02 1.4e-11 3.12
101 2.2e-08 7.3e-03 1.4e-06 1.00e+00 1.724042831e+02 1.724043391e+02 1.3e-11 3.15
102 2.0e-08 7.2e-03 1.3e-06 1.00e+00 1.724042871e+02 1.724043375e+02 1.1e-11 3.17
103 1.8e-08 7.2e-03 1.2e-06 9.96e-01 1.724042907e+02 1.724043360e+02 1.0e-11 3.21
104 1.6e-08 6.5e-03 1.1e-06 1.00e+00 1.724042939e+02 1.724043347e+02 9.3e-12 3.23
105 4.0e-09 1.6e-03 2.6e-07 9.99e-01 1.724043158e+02 1.724043260e+02 2.3e-12 3.26
106 3.6e-09 1.5e-03 2.4e-07 1.00e+00 1.724043166e+02 1.724043257e+02 2.1e-12 3.29
107 9.6e-10 3.1e-04 5.1e-08 9.82e-01 1.724043217e+02 1.724043237e+02 4.6e-13 3.32
Interior-point optimizer terminated. Time: 3.32.
Optimizer terminated. Time: 3.34
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432169e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432365e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.37 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.08 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+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 -1.284360407e+05 2.000000000e+00 1.0e+00 0.10
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.262635399e+05 3.636950210e+00 4.8e-01 0.13
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203755993e+05 1.002096567e+01 1.9e-01 0.16
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.156270296e+05 5.939414886e+01 1.3e-01 0.20
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131819781e+05 2.127640111e+03 1.3e-01 0.23
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.750681708e+04 9.253686328e+03 3.6e-02 0.26
6 4.0e+01 5.2e+01 2.2e+03 -2.39e-01 -5.068253804e+04 1.003928738e+04 1.8e-02 0.30
7 3.0e+01 3.9e+01 1.7e+03 2.16e-01 -4.166618392e+04 8.309958877e+03 1.3e-02 0.32
8 1.9e+01 2.4e+01 1.0e+03 3.78e-01 -2.878107762e+04 5.414643291e+03 8.2e-03 0.35
9 8.0e+00 1.0e+01 4.4e+02 5.99e-01 -1.315965535e+04 3.160785166e+03 3.5e-03 0.39
10 4.0e+00 5.1e+00 2.2e+02 8.45e-01 -6.347187781e+03 2.138383426e+03 1.8e-03 0.42
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.502120922e+03 1.318839536e+03 9.9e-04 0.46
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.332364168e+03 6.477126165e+02 4.1e-04 0.50
13 8.3e-01 1.1e+00 4.6e+01 9.70e-01 -1.217516412e+03 6.005384528e+02 3.7e-04 0.54
14 5.9e-01 7.7e-01 3.3e+01 9.74e-01 -8.114696938e+02 4.901685980e+02 2.6e-04 0.58
15 2.1e-01 7.5e-01 1.2e+01 9.90e-01 -1.973512664e+02 2.838927009e+02 9.8e-05 0.61
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.194816255e+01 2.162406465e+02 4.9e-05 0.66
17 7.7e-02 2.8e-01 4.4e+00 1.01e+00 2.773525452e+01 2.014213809e+02 3.6e-05 0.68
18 5.2e-02 2.0e-01 3.0e+00 1.02e+00 7.871294267e+01 1.952117998e+02 2.4e-05 0.71
19 1.5e-02 1.1e-01 8.7e-01 1.00e+00 1.409222682e+02 1.747335953e+02 7.0e-06 0.74
20 4.0e-03 2.2e-01 2.5e-01 1.02e+00 1.602100223e+02 1.696953186e+02 2.0e-06 0.77
21 2.7e-03 2.2e-01 1.7e-01 1.01e+00 1.623237207e+02 1.687771032e+02 1.3e-06 0.79
22 2.0e-03 1.6e-01 1.2e-01 1.00e+00 1.636802035e+02 1.683152485e+02 9.7e-07 0.83
23 7.7e-04 9.6e-02 4.8e-02 1.01e+00 1.657770304e+02 1.676106456e+02 3.9e-07 0.86
24 3.6e-04 8.1e-02 2.3e-02 1.01e+00 1.664801281e+02 1.673455465e+02 1.8e-07 0.90
25 1.5e-04 8.1e-02 9.7e-03 1.01e+00 1.668359673e+02 1.672047011e+02 7.9e-08 0.93
26 1.4e-04 7.4e-02 8.7e-03 1.01e+00 1.668663873e+02 1.671983754e+02 7.1e-08 0.96
27 1.2e-04 6.7e-02 7.8e-03 1.01e+00 1.668896124e+02 1.671882820e+02 6.4e-08 0.99
28 1.1e-04 6.2e-02 7.0e-03 1.01e+00 1.669107972e+02 1.671795196e+02 5.8e-08 1.03
29 1.0e-04 5.6e-02 6.3e-03 1.01e+00 1.669296954e+02 1.671714765e+02 5.2e-08 1.06
30 9.0e-05 5.1e-02 5.7e-03 1.01e+00 1.669466487e+02 1.671641953e+02 4.7e-08 1.09
31 8.1e-05 4.7e-02 5.1e-03 1.01e+00 1.669618527e+02 1.671575984e+02 4.2e-08 1.12
32 7.3e-05 4.3e-02 4.6e-03 1.01e+00 1.669754937e+02 1.671516272e+02 3.8e-08 1.16
33 6.5e-05 4.0e-02 4.2e-03 1.01e+00 1.669877347e+02 1.671462240e+02 3.4e-08 1.19
34 5.9e-05 3.6e-02 3.7e-03 1.01e+00 1.669987210e+02 1.671413365e+02 3.1e-08 1.21
35 5.3e-05 3.4e-02 3.4e-03 1.00e+00 1.670085828e+02 1.671369165e+02 2.8e-08 1.24
36 4.8e-05 3.1e-02 3.0e-03 1.00e+00 1.670174364e+02 1.671329204e+02 2.5e-08 1.26
37 4.3e-05 2.9e-02 2.7e-03 1.00e+00 1.670253859e+02 1.671293083e+02 2.2e-08 1.29
38 3.9e-05 2.7e-02 2.5e-03 1.00e+00 1.670325245e+02 1.671260441e+02 2.0e-08 1.32
39 3.5e-05 2.5e-02 2.2e-03 1.00e+00 1.670389358e+02 1.671230949e+02 1.8e-08 1.35
40 3.1e-05 2.3e-02 2.0e-03 1.00e+00 1.670446945e+02 1.671204309e+02 1.6e-08 1.38
41 2.8e-05 2.2e-02 1.8e-03 1.00e+00 1.670498676e+02 1.671180249e+02 1.5e-08 1.41
42 2.5e-05 2.0e-02 1.6e-03 1.00e+00 1.670545151e+02 1.671158524e+02 1.3e-08 1.44
43 2.3e-05 1.9e-02 1.5e-03 1.00e+00 1.670586910e+02 1.671138911e+02 1.2e-08 1.47
44 2.1e-05 1.8e-02 1.3e-03 1.00e+00 1.670624433e+02 1.671121207e+02 1.1e-08 1.49
45 1.8e-05 1.7e-02 1.2e-03 1.00e+00 1.670658154e+02 1.671105229e+02 9.6e-09 1.52
46 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.670688461e+02 1.671090811e+02 8.7e-09 1.55
47 1.5e-05 1.5e-02 9.5e-04 1.00e+00 1.670715702e+02 1.671077803e+02 7.8e-09 1.58
48 1.3e-05 1.4e-02 8.6e-04 1.00e+00 1.670740189e+02 1.671066069e+02 7.0e-09 1.61
49 1.2e-05 1.4e-02 7.7e-04 1.00e+00 1.670762202e+02 1.671055485e+02 6.3e-09 1.64
50 1.1e-05 1.3e-02 6.9e-04 1.00e+00 1.670781992e+02 1.671045941e+02 5.7e-09 1.67
51 9.8e-06 1.3e-02 6.2e-04 1.00e+00 1.670799785e+02 1.671037335e+02 5.1e-09 1.70
52 8.8e-06 1.2e-02 5.6e-04 1.00e+00 1.670815785e+02 1.671029575e+02 4.6e-09 1.73
53 8.0e-06 1.2e-02 5.1e-04 1.00e+00 1.670830172e+02 1.671022580e+02 4.2e-09 1.76
54 7.2e-06 1.1e-02 4.6e-04 1.00e+00 1.670843111e+02 1.671016275e+02 3.7e-09 1.79
55 6.4e-06 1.1e-02 4.1e-04 1.00e+00 1.670854747e+02 1.671010593e+02 3.4e-09 1.82
56 5.8e-06 1.1e-02 3.7e-04 1.00e+00 1.670865213e+02 1.671005472e+02 3.0e-09 1.85
57 5.2e-06 1.0e-02 3.3e-04 1.00e+00 1.670874626e+02 1.671000859e+02 2.7e-09 1.88
58 1.6e-06 3.3e-03 1.1e-04 1.00e+00 1.670932311e+02 1.670972280e+02 8.6e-10 1.91
59 1.5e-06 3.0e-03 9.5e-05 1.00e+00 1.670934999e+02 1.670970972e+02 7.8e-10 1.94
60 1.3e-06 2.7e-03 8.5e-05 9.99e-01 1.670937437e+02 1.670969814e+02 7.0e-10 1.97
61 5.3e-07 1.1e-03 3.4e-05 1.00e+00 1.670950391e+02 1.670963295e+02 2.8e-10 2.00
62 4.8e-07 9.6e-04 3.1e-05 1.00e+00 1.670951276e+02 1.670962888e+02 2.5e-10 2.03
63 4.3e-07 8.6e-04 2.7e-05 1.00e+00 1.670952047e+02 1.670962498e+02 2.3e-10 2.06
64 3.9e-07 7.7e-04 2.5e-05 1.00e+00 1.670952742e+02 1.670962147e+02 2.0e-10 2.09
65 3.5e-07 7.0e-04 2.2e-05 1.00e+00 1.670953367e+02 1.670961831e+02 1.8e-10 2.12
66 3.1e-07 6.3e-04 2.0e-05 1.00e+00 1.670953928e+02 1.670961546e+02 1.6e-10 2.15
67 2.8e-07 5.6e-04 1.8e-05 1.00e+00 1.670954434e+02 1.670961289e+02 1.5e-10 2.18
68 2.5e-07 5.1e-04 1.6e-05 1.00e+00 1.670954888e+02 1.670961058e+02 1.3e-10 2.21
69 2.3e-07 4.6e-04 1.5e-05 1.00e+00 1.670955297e+02 1.670960850e+02 1.2e-10 2.24
70 2.1e-07 4.1e-04 1.3e-05 1.00e+00 1.670955666e+02 1.670960662e+02 1.1e-10 2.26
71 1.8e-07 3.7e-04 1.2e-05 1.00e+00 1.670955997e+02 1.670960494e+02 9.7e-11 2.29
72 1.7e-07 3.3e-04 1.1e-05 9.97e-01 1.670956294e+02 1.670960342e+02 8.7e-11 2.32
73 1.5e-07 3.0e-04 9.6e-06 1.00e+00 1.670956563e+02 1.670960205e+02 7.9e-11 2.35
74 1.3e-07 2.7e-04 8.6e-06 1.00e+00 1.670956804e+02 1.670960082e+02 7.1e-11 2.38
75 1.2e-07 2.4e-04 7.8e-06 1.00e+00 1.670957022e+02 1.670959971e+02 6.4e-11 2.41
76 1.1e-07 2.2e-04 7.0e-06 1.00e+00 1.670957217e+02 1.670959871e+02 5.7e-11 2.44
77 9.8e-08 2.0e-04 6.3e-06 1.00e+00 1.670957393e+02 1.670959782e+02 5.2e-11 2.47
78 8.8e-08 1.8e-04 5.7e-06 1.00e+00 1.670957551e+02 1.670959701e+02 4.6e-11 2.50
79 8.0e-08 1.6e-04 5.1e-06 9.96e-01 1.670957693e+02 1.670959628e+02 4.2e-11 2.53
80 7.2e-08 1.4e-04 4.6e-06 1.00e+00 1.670957821e+02 1.670959563e+02 3.8e-11 2.56
81 6.4e-08 1.3e-04 4.1e-06 1.01e+00 1.670957942e+02 1.670959500e+02 3.4e-11 2.59
82 5.8e-08 1.2e-04 3.7e-06 1.00e+00 1.670958046e+02 1.670959447e+02 3.1e-11 2.62
83 5.2e-08 1.0e-04 3.3e-06 1.01e+00 1.670958140e+02 1.670959399e+02 2.8e-11 2.65
84 4.7e-08 9.4e-05 3.0e-06 1.02e+00 1.670958229e+02 1.670959353e+02 2.5e-11 2.67
85 4.2e-08 8.5e-05 2.7e-06 1.00e+00 1.670958303e+02 1.670959315e+02 2.3e-11 2.70
86 3.8e-08 7.6e-05 2.4e-06 1.00e+00 1.670958371e+02 1.670959281e+02 2.0e-11 2.72
87 3.4e-08 6.9e-05 2.2e-06 1.01e+00 1.670958434e+02 1.670959248e+02 1.8e-11 2.75
88 3.1e-08 6.2e-05 2.0e-06 1.02e+00 1.670958493e+02 1.670959218e+02 1.7e-11 2.78
89 2.8e-08 5.6e-05 1.8e-06 1.02e+00 1.670958544e+02 1.670959191e+02 1.5e-11 2.81
90 2.5e-08 5.0e-05 1.6e-06 1.01e+00 1.670958588e+02 1.670959169e+02 1.4e-11 2.84
91 2.3e-08 4.5e-05 1.4e-06 1.04e+00 1.670958634e+02 1.670959145e+02 1.3e-11 2.87
92 2.0e-08 4.1e-05 1.3e-06 9.88e-01 1.670958668e+02 1.670959128e+02 1.1e-11 2.90
93 1.8e-08 3.6e-05 1.2e-06 9.83e-01 1.670958698e+02 1.670959113e+02 1.0e-11 2.93
94 1.6e-08 3.3e-05 1.0e-06 1.03e+00 1.670958729e+02 1.670959097e+02 9.3e-12 2.96
95 1.5e-08 3.0e-05 9.4e-07 1.05e+00 1.670958759e+02 1.670959081e+02 8.5e-12 2.99
Interior-point optimizer terminated. Time: 2.99.
Optimizer terminated. Time: 3.01
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587591e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709590809e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.04 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281650043e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260064491e+05 3.586598588e+00 4.8e-01 0.24
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.201037518e+05 9.955023185e+00 1.9e-01 0.27
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.153210071e+05 5.962232772e+01 1.3e-01 0.30
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.127513415e+05 2.237150725e+03 1.3e-01 0.34
5 7.6e+01 9.7e+01 4.2e+03 -7.55e-01 -7.475757259e+04 9.749514045e+03 3.3e-02 0.37
6 3.7e+01 4.7e+01 2.0e+03 -2.00e-01 -4.738520065e+04 1.028817168e+04 1.6e-02 0.40
7 2.3e+01 3.0e+01 1.3e+03 2.71e-01 -3.362178772e+04 7.292203836e+03 1.0e-02 0.43
8 1.4e+01 1.7e+01 7.6e+02 5.18e-01 -2.155807286e+04 4.842488978e+03 6.0e-03 0.46
9 5.4e+00 6.9e+00 3.0e+02 7.18e-01 -8.872510233e+03 2.461236769e+03 2.4e-03 0.49
10 2.4e+00 3.1e+00 1.4e+02 9.11e-01 -3.777328927e+03 1.422693025e+03 1.1e-03 0.52
11 1.8e+00 2.3e+00 1.0e+02 9.74e-01 -2.754280219e+03 1.093075262e+03 7.9e-04 0.55
12 8.1e-01 1.0e+00 4.6e+01 9.82e-01 -1.172185909e+03 5.956567804e+02 3.6e-04 0.59
13 7.5e-01 1.1e+00 4.2e+01 9.46e-01 -1.100302518e+03 5.584996775e+02 3.4e-04 0.62
14 6.2e-01 8.9e-01 3.5e+01 9.87e-01 -8.693289828e+02 5.054050883e+02 2.8e-04 0.65
15 1.8e-01 2.9e-01 1.0e+01 9.89e-01 -1.579529444e+02 2.544988387e+02 8.4e-05 0.68
16 1.0e-01 1.8e-01 5.8e+00 1.01e+00 -1.917030504e+01 2.099840064e+02 4.7e-05 0.71
17 1.0e-01 1.8e-01 5.8e+00 1.02e+00 -1.750100338e+01 2.103208227e+02 4.7e-05 0.73
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.630751107e+01 2.107226690e+02 4.0e-05 0.76
19 4.3e-02 9.8e-02 2.5e+00 1.01e+00 9.144508126e+01 1.875634893e+02 2.0e-05 0.78
20 1.2e-02 1.6e-01 7.1e-01 1.01e+00 1.464207210e+02 1.736015964e+02 5.7e-06 0.81
21 4.7e-03 3.6e-01 2.8e-01 1.01e+00 1.584902744e+02 1.691034098e+02 2.3e-06 0.83
22 1.2e-03 1.8e-01 7.5e-02 1.01e+00 1.645724812e+02 1.674403973e+02 6.1e-07 0.86
23 6.6e-04 1.2e-01 4.1e-02 9.80e-01 1.655128619e+02 1.670779447e+02 3.4e-07 0.89
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662879381e+02 1.667831364e+02 1.1e-07 0.92
25 6.9e-05 1.0e-01 4.5e-03 1.01e+00 1.665171031e+02 1.666889241e+02 3.8e-08 0.95
26 3.1e-05 8.7e-02 2.1e-03 1.01e+00 1.665829617e+02 1.666610870e+02 1.8e-08 0.98
27 2.8e-05 7.9e-02 1.9e-03 1.01e+00 1.665892619e+02 1.666595797e+02 1.6e-08 1.01
28 2.5e-05 7.2e-02 1.7e-03 1.00e+00 1.665940971e+02 1.666573663e+02 1.4e-08 1.04
29 2.3e-05 6.6e-02 1.5e-03 1.00e+00 1.665985130e+02 1.666554469e+02 1.3e-08 1.07
30 2.0e-05 6.0e-02 1.4e-03 1.00e+00 1.666024746e+02 1.666537073e+02 1.1e-08 1.10
31 1.8e-05 5.5e-02 1.2e-03 1.00e+00 1.666060356e+02 1.666521387e+02 1.0e-08 1.13
32 1.7e-05 5.0e-02 1.1e-03 1.00e+00 1.666092356e+02 1.666507231e+02 9.3e-09 1.16
33 1.5e-05 4.6e-02 9.9e-04 1.00e+00 1.666121117e+02 1.666494462e+02 8.4e-09 1.20
34 1.3e-05 4.2e-02 8.9e-04 1.00e+00 1.666146969e+02 1.666482943e+02 7.5e-09 1.23
35 1.2e-05 3.9e-02 8.0e-04 1.00e+00 1.666170206e+02 1.666472553e+02 6.8e-09 1.26
36 1.1e-05 3.5e-02 7.2e-04 1.00e+00 1.666191094e+02 1.666463184e+02 6.1e-09 1.29
37 9.8e-06 3.3e-02 6.5e-04 1.00e+00 1.666209873e+02 1.666454734e+02 5.5e-09 1.32
38 8.8e-06 3.0e-02 5.9e-04 1.00e+00 1.666226756e+02 1.666447115e+02 5.0e-09 1.35
39 7.9e-06 2.8e-02 5.3e-04 1.00e+00 1.666241935e+02 1.666440245e+02 4.5e-09 1.38
40 7.1e-06 2.6e-02 4.7e-04 1.00e+00 1.666255583e+02 1.666434052e+02 4.0e-09 1.41
41 6.4e-06 2.4e-02 4.3e-04 1.00e+00 1.666267855e+02 1.666428469e+02 3.6e-09 1.44
42 5.8e-06 2.3e-02 3.8e-04 1.00e+00 1.666278890e+02 1.666423436e+02 3.3e-09 1.48
43 5.2e-06 2.1e-02 3.5e-04 1.00e+00 1.666288813e+02 1.666418899e+02 2.9e-09 1.51
44 4.7e-06 2.0e-02 3.1e-04 1.00e+00 1.666297736e+02 1.666414809e+02 2.6e-09 1.54
45 4.2e-06 1.9e-02 2.8e-04 1.00e+00 1.666305760e+02 1.666411122e+02 2.4e-09 1.57
46 3.8e-06 1.7e-02 2.5e-04 1.00e+00 1.666312976e+02 1.666407799e+02 2.1e-09 1.60
47 3.4e-06 1.7e-02 2.3e-04 1.00e+00 1.666319465e+02 1.666404803e+02 1.9e-09 1.63
48 3.1e-06 1.6e-02 2.0e-04 1.00e+00 1.666325300e+02 1.666402103e+02 1.7e-09 1.66
49 2.8e-06 1.5e-02 1.8e-04 1.00e+00 1.666330547e+02 1.666399668e+02 1.6e-09 1.68
50 2.5e-06 1.4e-02 1.7e-04 1.00e+00 1.666335265e+02 1.666397473e+02 1.4e-09 1.71
51 2.2e-06 1.4e-02 1.5e-04 1.00e+00 1.666339509e+02 1.666395495e+02 1.3e-09 1.74
52 2.0e-06 1.3e-02 1.3e-04 1.00e+00 1.666343326e+02 1.666393712e+02 1.1e-09 1.76
53 1.8e-06 1.2e-02 1.2e-04 1.00e+00 1.666346759e+02 1.666392106e+02 1.0e-09 1.79
54 1.6e-06 1.2e-02 1.1e-04 1.00e+00 1.666349846e+02 1.666390659e+02 9.2e-10 1.82
55 1.5e-06 1.2e-02 9.8e-05 1.00e+00 1.666352624e+02 1.666389355e+02 8.3e-10 1.85
56 1.3e-06 1.1e-02 8.8e-05 1.00e+00 1.666355122e+02 1.666388180e+02 7.4e-10 1.88
57 1.2e-06 1.1e-02 7.9e-05 1.00e+00 1.666357369e+02 1.666387121e+02 6.7e-10 1.91
58 1.1e-06 1.1e-02 7.1e-05 1.00e+00 1.666359391e+02 1.666386167e+02 6.0e-10 1.94
59 9.6e-07 1.0e-02 6.4e-05 1.00e+00 1.666361208e+02 1.666385307e+02 5.4e-10 1.97
60 8.7e-07 1.0e-02 5.8e-05 1.00e+00 1.666362844e+02 1.666384532e+02 4.9e-10 2.00
61 7.8e-07 9.9e-03 5.2e-05 1.00e+00 1.666364314e+02 1.666383833e+02 4.4e-10 2.02
62 7.0e-07 9.7e-03 4.7e-05 1.00e+00 1.666365636e+02 1.666383204e+02 4.0e-10 2.05
63 6.3e-07 9.5e-03 4.2e-05 1.00e+00 1.666366826e+02 1.666382636e+02 3.6e-10 2.07
64 5.7e-07 9.3e-03 3.8e-05 1.00e+00 1.666367895e+02 1.666382125e+02 3.2e-10 2.10
65 5.1e-07 9.2e-03 3.4e-05 1.00e+00 1.666368857e+02 1.666381663e+02 2.9e-10 2.12
66 4.6e-07 9.0e-03 3.1e-05 1.00e+00 1.666369722e+02 1.666381248e+02 2.6e-10 2.14
67 4.1e-07 8.9e-03 2.8e-05 1.00e+00 1.666370499e+02 1.666380873e+02 2.3e-10 2.17
68 3.7e-07 8.8e-03 2.5e-05 1.00e+00 1.666371199e+02 1.666380534e+02 2.1e-10 2.19
69 3.4e-07 8.7e-03 2.2e-05 1.00e+00 1.666371827e+02 1.666380230e+02 1.9e-10 2.22
70 3.0e-07 8.6e-03 2.0e-05 1.00e+00 1.666372393e+02 1.666379955e+02 1.7e-10 2.25
71 2.7e-07 8.5e-03 1.8e-05 1.00e+00 1.666372902e+02 1.666379708e+02 1.5e-10 2.28
72 2.4e-07 8.5e-03 1.6e-05 1.00e+00 1.666373359e+02 1.666379484e+02 1.4e-10 2.31
73 2.2e-07 8.4e-03 1.5e-05 9.99e-01 1.666373771e+02 1.666379284e+02 1.2e-10 2.34
74 2.0e-07 8.3e-03 1.3e-05 1.00e+00 1.666374141e+02 1.666379102e+02 1.1e-10 2.37
75 1.8e-07 8.3e-03 1.2e-05 1.00e+00 1.666374474e+02 1.666378939e+02 1.0e-10 2.39
76 1.6e-07 8.2e-03 1.1e-05 9.99e-01 1.666374774e+02 1.666378792e+02 9.1e-11 2.42
77 1.4e-07 8.2e-03 9.6e-06 1.00e+00 1.666375043e+02 1.666378660e+02 8.1e-11 2.44
78 1.3e-07 8.1e-03 8.7e-06 9.98e-01 1.666375286e+02 1.666378541e+02 7.3e-11 2.47
79 1.2e-07 8.1e-03 7.8e-06 9.98e-01 1.666375504e+02 1.666378434e+02 6.6e-11 2.49
80 1.1e-07 8.0e-03 7.0e-06 9.96e-01 1.666375701e+02 1.666378338e+02 5.9e-11 2.52
81 9.5e-08 8.0e-03 6.3e-06 1.00e+00 1.666375877e+02 1.666378251e+02 5.3e-11 2.55
82 8.5e-08 8.0e-03 5.7e-06 1.00e+00 1.666376036e+02 1.666378173e+02 4.8e-11 2.58
83 7.7e-08 7.9e-03 5.1e-06 1.00e+00 1.666376180e+02 1.666378102e+02 4.3e-11 2.61
84 6.9e-08 7.9e-03 4.6e-06 1.00e+00 1.666376309e+02 1.666378039e+02 3.9e-11 2.63
85 6.2e-08 7.8e-03 4.1e-06 9.94e-01 1.666376424e+02 1.666377982e+02 3.5e-11 2.66
86 5.6e-08 7.8e-03 3.7e-06 1.00e+00 1.666376529e+02 1.666377931e+02 3.2e-11 2.68
87 5.0e-08 7.8e-03 3.4e-06 9.97e-01 1.666376623e+02 1.666377884e+02 2.8e-11 2.71
88 4.5e-08 7.0e-03 3.0e-06 1.00e+00 1.666376708e+02 1.666377842e+02 2.6e-11 2.74
89 4.1e-08 6.3e-03 2.7e-06 1.01e+00 1.666376785e+02 1.666377804e+02 2.3e-11 2.77
90 3.7e-08 5.7e-03 2.4e-06 1.00e+00 1.666376854e+02 1.666377770e+02 2.1e-11 2.79
91 3.3e-08 5.1e-03 2.2e-06 9.90e-01 1.666376915e+02 1.666377740e+02 1.9e-11 2.82
92 3.0e-08 4.6e-03 2.0e-06 9.87e-01 1.666376970e+02 1.666377713e+02 1.7e-11 2.85
93 2.7e-08 4.1e-03 1.8e-06 1.00e+00 1.666377020e+02 1.666377689e+02 1.5e-11 2.88
94 2.4e-08 3.7e-03 1.6e-06 1.00e+00 1.666377065e+02 1.666377666e+02 1.4e-11 2.90
95 2.2e-08 3.4e-03 1.4e-06 1.02e+00 1.666377109e+02 1.666377644e+02 1.2e-11 2.93
96 2.0e-08 3.0e-03 1.3e-06 1.02e+00 1.666377147e+02 1.666377625e+02 1.1e-11 2.95
97 1.8e-08 2.7e-03 1.2e-06 9.98e-01 1.666377179e+02 1.666377610e+02 1.0e-11 2.97
98 1.6e-08 2.4e-03 1.1e-06 1.01e+00 1.666377209e+02 1.666377595e+02 9.1e-12 3.00
99 1.4e-08 2.2e-03 9.5e-07 1.01e+00 1.666377236e+02 1.666377581e+02 8.2e-12 3.02
100 1.3e-08 2.0e-03 8.5e-07 9.94e-01 1.666377259e+02 1.666377570e+02 7.4e-12 3.04
101 1.2e-08 1.8e-03 7.7e-07 1.00e+00 1.666377280e+02 1.666377560e+02 6.7e-12 3.07
102 1.0e-08 1.6e-03 6.9e-07 1.02e+00 1.666377300e+02 1.666377550e+02 6.1e-12 3.10
103 9.4e-09 1.4e-03 6.2e-07 9.79e-01 1.666377317e+02 1.666377542e+02 5.5e-12 3.12
104 8.4e-09 1.3e-03 5.6e-07 9.96e-01 1.666377332e+02 1.666377534e+02 4.9e-12 3.15
105 7.6e-09 1.2e-03 5.0e-07 9.96e-01 1.666377345e+02 1.666377528e+02 4.4e-12 3.18
106 6.8e-09 1.1e-03 4.5e-07 9.56e-01 1.666377358e+02 1.666377522e+02 4.0e-12 3.21
107 6.2e-09 9.5e-04 4.1e-07 1.08e+00 1.666377373e+02 1.666377514e+02 3.7e-12 3.24
108 5.6e-09 8.5e-04 3.7e-07 1.07e+00 1.666377385e+02 1.666377507e+02 3.5e-12 3.27
109 5.0e-09 7.7e-04 3.3e-07 9.24e-01 1.666377393e+02 1.666377504e+02 3.1e-12 3.29
110 4.6e-09 6.9e-04 3.0e-07 9.97e-01 1.666377401e+02 1.666377500e+02 2.8e-12 3.32
111 3.7e-09 4.1e-05 1.8e-08 8.86e-01 1.666377466e+02 1.666377472e+02 3.0e-13 3.34
Interior-point optimizer terminated. Time: 3.34.
Optimizer terminated. Time: 3.36
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774656e+02 Viol. con: 9e-08 var: 0e+00
Dual. obj: 1.6663774719e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.38 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281256844e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259652937e+05 3.580273691e+00 4.8e-01 0.34
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.199460198e+05 1.005567376e+01 1.9e-01 0.36
3 2.9e+02 3.7e+02 1.6e+04 -8.41e-01 -1.152369814e+05 6.134016074e+01 1.3e-01 0.39
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.125938775e+05 2.293613969e+03 1.3e-01 0.42
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.359804439e+04 9.834641399e+03 3.2e-02 0.45
6 3.6e+01 4.5e+01 2.0e+03 -1.82e-01 -4.627583362e+04 1.009595032e+04 1.6e-02 0.48
7 2.1e+01 2.7e+01 1.2e+03 2.90e-01 -3.084205543e+04 6.881656117e+03 9.2e-03 0.52
8 1.2e+01 1.6e+01 6.7e+02 5.65e-01 -1.932394480e+04 4.483630236e+03 5.4e-03 0.55
9 4.7e+00 6.0e+00 2.6e+02 7.54e-01 -7.701994723e+03 2.174748304e+03 2.1e-03 0.57
10 2.3e+00 2.9e+00 1.3e+02 9.26e-01 -3.516866097e+03 1.397321138e+03 1.0e-03 0.60
11 1.5e+00 1.9e+00 8.4e+01 9.76e-01 -2.278059041e+03 9.686750809e+02 6.7e-04 0.64
12 8.5e-01 1.1e+00 4.7e+01 9.85e-01 -1.223620165e+03 6.225979083e+02 3.8e-04 0.67
13 7.5e-01 9.9e-01 4.2e+01 9.54e-01 -1.085112310e+03 5.622489359e+02 3.3e-04 0.70
14 3.7e-01 4.9e-01 2.1e+01 9.85e-01 -4.368185332e+02 3.757298495e+02 1.7e-04 0.73
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.425569969e+02 2.585350640e+02 8.2e-05 0.76
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 5.484329705e+00 2.044128558e+02 4.1e-05 0.79
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.455517709e+01 2.066562811e+02 4.0e-05 0.82
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 6.001214793e+01 1.948456417e+02 2.8e-05 0.85
19 2.9e-02 7.3e-02 1.7e+00 1.01e+00 1.156052084e+02 1.809648069e+02 1.4e-05 0.87
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.526398071e+02 1.716139747e+02 4.0e-06 0.90
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622522041e+02 1.679613548e+02 1.2e-06 0.93
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639807251e+02 1.674413385e+02 7.3e-07 0.96
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656593380e+02 1.668669772e+02 2.6e-07 0.99
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661981679e+02 1.666657463e+02 1.0e-07 1.02
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662345723e+02 1.666552718e+02 9.2e-08 1.05
26 1.6e-04 7.9e-02 9.9e-03 1.01e+00 1.662646300e+02 1.666431182e+02 8.3e-08 1.08
27 1.4e-04 7.2e-02 8.9e-03 1.01e+00 1.662918618e+02 1.666323890e+02 7.5e-08 1.10
28 1.3e-04 6.6e-02 8.0e-03 1.01e+00 1.663162452e+02 1.666226265e+02 6.7e-08 1.12
29 1.2e-04 6.0e-02 7.2e-03 1.01e+00 1.663381275e+02 1.666137938e+02 6.0e-08 1.15
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663577594e+02 1.666057960e+02 5.4e-08 1.18
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663753744e+02 1.665985557e+02 4.9e-08 1.21
32 8.4e-05 4.6e-02 5.3e-03 1.01e+00 1.663911804e+02 1.665920014e+02 4.4e-08 1.24
33 7.6e-05 4.2e-02 4.7e-03 1.01e+00 1.664053643e+02 1.665860688e+02 4.0e-08 1.27
34 6.8e-05 3.9e-02 4.3e-03 1.01e+00 1.664180937e+02 1.665807000e+02 3.6e-08 1.29
35 6.2e-05 3.5e-02 3.8e-03 1.01e+00 1.664295190e+02 1.665758422e+02 3.2e-08 1.32
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664397751e+02 1.665714478e+02 2.9e-08 1.35
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664489824e+02 1.665674733e+02 2.6e-08 1.38
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664572493e+02 1.665638795e+02 2.3e-08 1.41
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664646726e+02 1.665606305e+02 2.1e-08 1.43
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664713391e+02 1.665576938e+02 1.9e-08 1.46
41 3.3e-05 2.2e-02 2.0e-03 1.00e+00 1.664773265e+02 1.665550398e+02 1.7e-08 1.49
42 2.9e-05 2.1e-02 1.8e-03 1.00e+00 1.664827046e+02 1.665526420e+02 1.5e-08 1.52
43 2.6e-05 2.0e-02 1.7e-03 1.00e+00 1.664875359e+02 1.665504759e+02 1.4e-08 1.54
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664918764e+02 1.665485195e+02 1.2e-08 1.57
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664957763e+02 1.665467529e+02 1.1e-08 1.60
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664992808e+02 1.665451580e+02 1.0e-08 1.63
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665024303e+02 1.665437184e+02 9.1e-09 1.66
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665052610e+02 1.665424193e+02 8.2e-09 1.68
49 1.4e-05 1.4e-02 8.8e-04 1.00e+00 1.665078055e+02 1.665412472e+02 7.4e-09 1.71
50 1.3e-05 1.4e-02 7.9e-04 1.00e+00 1.665100930e+02 1.665401900e+02 6.6e-09 1.74
51 1.1e-05 1.3e-02 7.1e-04 1.00e+00 1.665121497e+02 1.665392366e+02 6.0e-09 1.77
52 1.0e-05 1.2e-02 6.4e-04 1.00e+00 1.665139990e+02 1.665383769e+02 5.4e-09 1.80
53 9.2e-06 1.2e-02 5.8e-04 1.00e+00 1.665156620e+02 1.665376019e+02 4.8e-09 1.82
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665171576e+02 1.665369035e+02 4.3e-09 1.85
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665185028e+02 1.665362739e+02 3.9e-09 1.88
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665197127e+02 1.665357067e+02 3.5e-09 1.91
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665208010e+02 1.665351956e+02 3.2e-09 1.94
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217799e+02 1.665347352e+02 2.9e-09 1.98
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226605e+02 1.665343203e+02 2.6e-09 2.01
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234527e+02 1.665339465e+02 2.3e-09 2.05
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241652e+02 1.665336096e+02 2.1e-09 2.08
62 3.6e-06 9.5e-03 2.2e-04 1.00e+00 1.665248061e+02 1.665333061e+02 1.9e-09 2.10
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253825e+02 1.665330325e+02 1.7e-09 2.13
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665259010e+02 1.665327861e+02 1.5e-09 2.16
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263673e+02 1.665325639e+02 1.4e-09 2.19
66 2.3e-06 9.0e-03 1.5e-04 1.00e+00 1.665267868e+02 1.665323638e+02 1.2e-09 2.22
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271641e+02 1.665321834e+02 1.1e-09 2.25
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665275036e+02 1.665320210e+02 1.0e-09 2.28
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665278090e+02 1.665318747e+02 9.0e-10 2.31
70 1.5e-06 8.6e-03 9.6e-05 1.00e+00 1.665280837e+02 1.665317429e+02 8.1e-10 2.34
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283309e+02 1.665316241e+02 7.3e-10 2.37
72 1.2e-06 8.5e-03 7.8e-05 1.00e+00 1.665285532e+02 1.665315172e+02 6.5e-10 2.40
73 1.1e-06 8.5e-03 7.0e-05 1.00e+00 1.665287532e+02 1.665314208e+02 5.9e-10 2.42
74 1.0e-06 8.4e-03 6.3e-05 1.00e+00 1.665289331e+02 1.665313340e+02 5.3e-10 2.45
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290950e+02 1.665312558e+02 4.8e-10 2.48
76 8.2e-07 8.3e-03 5.1e-05 1.00e+00 1.665292406e+02 1.665311853e+02 4.3e-10 2.51
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293715e+02 1.665311217e+02 3.9e-10 2.54
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294893e+02 1.665310645e+02 3.5e-10 2.56
79 6.0e-07 8.2e-03 3.7e-05 1.00e+00 1.665295952e+02 1.665310129e+02 3.1e-10 2.59
80 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.665296904e+02 1.665309664e+02 2.8e-10 2.62
81 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.665297761e+02 1.665309245e+02 2.5e-10 2.65
82 4.4e-07 8.1e-03 2.7e-05 1.00e+00 1.665298531e+02 1.665308867e+02 2.3e-10 2.67
83 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.665299223e+02 1.665308526e+02 2.1e-10 2.70
84 3.5e-07 8.0e-03 2.2e-05 9.99e-01 1.665299846e+02 1.665308218e+02 1.8e-10 2.73
85 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.665300406e+02 1.665307941e+02 1.7e-10 2.76
86 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.665300910e+02 1.665307692e+02 1.5e-10 2.79
87 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.665301363e+02 1.665307467e+02 1.3e-10 2.81
88 2.3e-07 7.9e-03 1.4e-05 9.99e-01 1.665301771e+02 1.665307264e+02 1.2e-10 2.84
89 2.1e-07 7.9e-03 1.3e-05 9.98e-01 1.665302138e+02 1.665307082e+02 1.1e-10 2.87
90 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.665302468e+02 1.665306918e+02 9.8e-11 2.90
91 1.7e-07 7.9e-03 1.1e-05 9.98e-01 1.665302764e+02 1.665306770e+02 8.8e-11 2.93
92 1.5e-07 7.9e-03 9.5e-06 1.00e+00 1.665303031e+02 1.665306636e+02 7.9e-11 2.96
93 1.4e-07 7.9e-03 8.6e-06 1.00e+00 1.665303272e+02 1.665306516e+02 7.2e-11 2.99
94 1.2e-07 7.8e-03 7.7e-06 9.97e-01 1.665303488e+02 1.665306408e+02 6.4e-11 3.02
95 1.1e-07 7.8e-03 6.9e-06 9.95e-01 1.665303682e+02 1.665306311e+02 5.8e-11 3.05
96 1.0e-07 7.0e-03 6.2e-06 1.00e+00 1.665303858e+02 1.665306222e+02 5.2e-11 3.07
97 9.0e-08 6.3e-03 5.6e-06 9.99e-01 1.665304015e+02 1.665306143e+02 4.7e-11 3.10
98 8.1e-08 5.7e-03 5.1e-06 1.00e+00 1.665304157e+02 1.665306072e+02 4.2e-11 3.13
99 7.3e-08 5.1e-03 4.5e-06 1.00e+00 1.665304286e+02 1.665306007e+02 3.8e-11 3.16
100 6.5e-08 4.6e-03 4.1e-06 1.01e+00 1.665304402e+02 1.665305949e+02 3.4e-11 3.18
101 5.9e-08 4.1e-03 3.7e-06 9.93e-01 1.665304505e+02 1.665305897e+02 3.1e-11 3.21
102 5.3e-08 3.7e-03 3.3e-06 1.00e+00 1.665304597e+02 1.665305851e+02 2.8e-11 3.24
103 4.8e-08 3.4e-03 3.0e-06 9.96e-01 1.665304681e+02 1.665305809e+02 2.5e-11 3.27
104 4.3e-08 3.0e-03 2.7e-06 9.99e-01 1.665304756e+02 1.665305771e+02 2.3e-11 3.30
105 3.9e-08 2.7e-03 2.4e-06 9.96e-01 1.665304823e+02 1.665305738e+02 2.0e-11 3.33
106 3.5e-08 2.4e-03 2.2e-06 1.00e+00 1.665304884e+02 1.665305707e+02 1.8e-11 3.35
107 3.1e-08 2.2e-03 2.0e-06 1.01e+00 1.665304940e+02 1.665305679e+02 1.6e-11 3.38
108 2.8e-08 2.0e-03 1.8e-06 9.98e-01 1.665304989e+02 1.665305654e+02 1.5e-11 3.40
109 2.5e-08 1.8e-03 1.6e-06 9.95e-01 1.665305033e+02 1.665305632e+02 1.3e-11 3.43
110 2.3e-08 1.6e-03 1.4e-06 9.96e-01 1.665305073e+02 1.665305612e+02 1.2e-11 3.45
111 2.1e-08 1.4e-03 1.3e-06 1.01e+00 1.665305111e+02 1.665305593e+02 1.1e-11 3.47
112 1.8e-08 1.3e-03 1.2e-06 9.82e-01 1.665305143e+02 1.665305577e+02 9.8e-12 3.50
113 1.7e-08 1.2e-03 1.0e-06 1.02e+00 1.665305174e+02 1.665305561e+02 8.9e-12 3.52
114 1.5e-08 1.1e-03 9.4e-07 1.00e+00 1.665305200e+02 1.665305548e+02 8.0e-12 3.55
115 1.3e-08 9.5e-04 8.4e-07 1.00e+00 1.665305223e+02 1.665305536e+02 7.2e-12 3.57
116 1.2e-08 8.5e-04 7.6e-07 9.83e-01 1.665305244e+02 1.665305526e+02 6.5e-12 3.59
117 1.1e-08 7.7e-04 6.8e-07 1.02e+00 1.665305265e+02 1.665305515e+02 5.9e-12 3.62
118 9.8e-09 6.9e-04 6.1e-07 9.86e-01 1.665305281e+02 1.665305507e+02 5.3e-12 3.65
119 8.8e-09 6.2e-04 5.5e-07 1.00e+00 1.665305296e+02 1.665305500e+02 4.8e-12 3.68
120 8.0e-09 5.6e-04 5.0e-07 9.92e-01 1.665305310e+02 1.665305493e+02 4.3e-12 3.71
121 7.2e-09 5.0e-04 4.5e-07 9.51e-01 1.665305322e+02 1.665305487e+02 3.9e-12 3.74
122 6.4e-09 4.5e-04 4.0e-07 1.05e+00 1.665305335e+02 1.665305480e+02 3.6e-12 3.77
123 5.8e-09 4.1e-04 3.6e-07 9.54e-01 1.665305345e+02 1.665305475e+02 3.2e-12 3.80
124 5.2e-09 3.7e-04 3.3e-07 1.05e+00 1.665305356e+02 1.665305470e+02 3.0e-12 3.83
125 4.7e-09 3.3e-04 2.9e-07 1.04e+00 1.665305364e+02 1.665305465e+02 2.7e-12 3.85
126 4.3e-09 3.0e-04 2.6e-07 1.02e+00 1.665305372e+02 1.665305461e+02 2.5e-12 3.88
127 3.8e-09 2.7e-04 2.4e-07 9.59e-01 1.665305378e+02 1.665305459e+02 2.2e-12 3.91
128 3.5e-09 2.4e-04 2.1e-07 9.66e-01 1.665305383e+02 1.665305456e+02 2.0e-12 3.94
129 3.1e-09 2.2e-04 1.9e-07 1.06e+00 1.665305389e+02 1.665305453e+02 1.8e-12 3.97
130 2.8e-09 2.0e-04 1.7e-07 1.03e+00 1.665305394e+02 1.665305450e+02 1.7e-12 4.00
131 6.8e-10 2.0e-05 1.8e-08 9.82e-01 1.665305428e+02 1.665305434e+02 1.9e-13 4.03
Interior-point optimizer terminated. Time: 4.03.
Optimizer terminated. Time: 4.04
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054278e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6653054336e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.07 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.06
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281219226e+05 2.000000000e+00 1.0e+00 0.12
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259510014e+05 3.575672625e+00 4.8e-01 0.15
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.198706850e+05 1.013520805e+01 1.9e-01 0.18
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.151566023e+05 6.243044947e+01 1.2e-01 0.21
4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125384740e+05 2.273182246e+03 1.2e-01 0.23
5 7.5e+01 9.6e+01 4.1e+03 -7.53e-01 -7.445606259e+04 9.639356746e+03 3.3e-02 0.26
6 3.3e+01 4.2e+01 1.8e+03 -1.95e-01 -4.330175134e+04 1.030586533e+04 1.4e-02 0.28
7 1.9e+01 2.5e+01 1.1e+03 3.42e-01 -2.853322163e+04 6.914886811e+03 8.5e-03 0.31
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.808892849e+04 4.388506072e+03 5.0e-03 0.34
9 4.5e+00 5.7e+00 2.5e+02 7.74e-01 -7.326206250e+03 2.100232303e+03 2.0e-03 0.37
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.203266421e+03 1.327237589e+03 9.3e-04 0.40
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.002118602e+03 8.889940168e+02 6.0e-04 0.43
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.160046291e+03 6.061227482e+02 3.6e-04 0.46
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.074103853e+02 5.061518108e+02 2.9e-04 0.49
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.159483091e+02 3.800114154e+02 1.6e-04 0.52
15 1.8e-01 2.4e-01 9.9e+00 9.93e-01 -1.329983990e+02 2.580959847e+02 8.0e-05 0.54
16 7.9e-02 1.3e-01 4.5e+00 1.01e+00 2.194965154e+01 1.995879916e+02 3.7e-05 0.57
17 6.8e-02 1.1e-01 3.9e+00 1.02e+00 4.516632714e+01 1.977857285e+02 3.2e-05 0.60
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.183251270e+02 1.806140377e+02 1.3e-05 0.63
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.533672310e+02 1.714092098e+02 3.8e-06 0.66
20 2.9e-03 2.4e-01 1.7e-01 1.00e+00 1.613680136e+02 1.680690166e+02 1.4e-06 0.69
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635977036e+02 1.674592383e+02 8.2e-07 0.72
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656258615e+02 1.668059071e+02 2.6e-07 0.75
23 1.8e-04 1.1e-01 1.1e-02 1.01e+00 1.661712884e+02 1.666014576e+02 9.5e-08 0.77
24 8.3e-05 8.8e-02 5.3e-03 1.01e+00 1.663353300e+02 1.665344270e+02 4.4e-08 0.80
25 3.7e-05 8.0e-02 2.4e-03 1.01e+00 1.664121605e+02 1.665024960e+02 2.0e-08 0.84
26 3.4e-05 7.3e-02 2.2e-03 1.01e+00 1.664200053e+02 1.665013293e+02 1.8e-08 0.87
27 3.0e-05 6.6e-02 1.9e-03 1.01e+00 1.664255247e+02 1.664986884e+02 1.6e-08 0.90
28 2.7e-05 6.1e-02 1.7e-03 1.01e+00 1.664306137e+02 1.664964470e+02 1.5e-08 0.93
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664351674e+02 1.664944050e+02 1.3e-08 0.96
30 2.2e-05 5.1e-02 1.4e-03 1.01e+00 1.664392606e+02 1.664925646e+02 1.2e-08 0.99
31 2.0e-05 4.6e-02 1.3e-03 1.00e+00 1.664429372e+02 1.664909028e+02 1.1e-08 1.02
32 1.8e-05 4.2e-02 1.1e-03 1.00e+00 1.664462407e+02 1.664894030e+02 9.7e-09 1.04
33 1.6e-05 3.9e-02 1.0e-03 1.00e+00 1.664492089e+02 1.664880497e+02 8.7e-09 1.08
34 1.5e-05 3.6e-02 9.3e-04 1.00e+00 1.664518764e+02 1.664868287e+02 7.8e-09 1.12
35 1.3e-05 3.3e-02 8.3e-04 1.00e+00 1.664542738e+02 1.664857273e+02 7.1e-09 1.16
36 1.2e-05 3.0e-02 7.5e-04 1.00e+00 1.664564287e+02 1.664847341e+02 6.4e-09 1.19
37 1.1e-05 2.8e-02 6.8e-04 1.00e+00 1.664583658e+02 1.664838384e+02 5.7e-09 1.22
38 9.5e-06 2.6e-02 6.1e-04 1.00e+00 1.664601074e+02 1.664830308e+02 5.1e-09 1.25
39 8.6e-06 2.4e-02 5.5e-04 1.00e+00 1.664616733e+02 1.664823029e+02 4.6e-09 1.27
40 7.7e-06 2.3e-02 4.9e-04 1.00e+00 1.664630814e+02 1.664816468e+02 4.2e-09 1.30
41 6.9e-06 2.1e-02 4.4e-04 1.00e+00 1.664643476e+02 1.664810556e+02 3.8e-09 1.33
42 6.3e-06 2.0e-02 4.0e-04 1.00e+00 1.664654864e+02 1.664805229e+02 3.4e-09 1.36
43 5.6e-06 1.9e-02 3.6e-04 1.00e+00 1.664665107e+02 1.664800430e+02 3.0e-09 1.39
44 5.1e-06 1.7e-02 3.2e-04 1.00e+00 1.664674320e+02 1.664796106e+02 2.7e-09 1.42
45 4.6e-06 1.6e-02 2.9e-04 1.00e+00 1.664682608e+02 1.664792212e+02 2.5e-09 1.44
46 4.1e-06 1.6e-02 2.6e-04 1.00e+00 1.664690063e+02 1.664788704e+02 2.2e-09 1.47
47 3.7e-06 1.5e-02 2.4e-04 1.00e+00 1.664696770e+02 1.664785544e+02 2.0e-09 1.50
48 3.3e-06 1.4e-02 2.1e-04 1.00e+00 1.664702802e+02 1.664782697e+02 1.8e-09 1.54
49 3.0e-06 1.3e-02 1.9e-04 1.00e+00 1.664708229e+02 1.664780134e+02 1.6e-09 1.57
50 2.7e-06 1.3e-02 1.7e-04 1.00e+00 1.664713112e+02 1.664777824e+02 1.5e-09 1.60
51 2.4e-06 1.2e-02 1.5e-04 1.00e+00 1.664717505e+02 1.664775745e+02 1.3e-09 1.63
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664721457e+02 1.664773873e+02 1.2e-09 1.66
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664725014e+02 1.664772188e+02 1.1e-09 1.69
54 1.8e-06 1.1e-02 1.1e-04 1.00e+00 1.664728215e+02 1.664770671e+02 9.5e-10 1.72
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664731096e+02 1.664769305e+02 8.6e-10 1.75
56 1.4e-06 1.0e-02 9.1e-05 1.00e+00 1.664733688e+02 1.664768076e+02 7.7e-10 1.78
57 1.3e-06 1.0e-02 8.2e-05 1.00e+00 1.664736021e+02 1.664766970e+02 7.0e-10 1.81
58 1.2e-06 9.9e-03 7.4e-05 1.00e+00 1.664738120e+02 1.664765974e+02 6.3e-10 1.85
59 1.0e-06 9.6e-03 6.7e-05 1.00e+00 1.664740009e+02 1.664765078e+02 5.6e-10 1.87
60 9.4e-07 9.4e-03 6.0e-05 1.00e+00 1.664741709e+02 1.664764271e+02 5.1e-10 1.90
61 8.4e-07 9.3e-03 5.4e-05 1.00e+00 1.664743239e+02 1.664763545e+02 4.6e-10 1.93
62 7.6e-07 9.1e-03 4.9e-05 1.00e+00 1.664744616e+02 1.664762891e+02 4.1e-10 1.97
63 6.8e-07 8.9e-03 4.4e-05 1.00e+00 1.664745854e+02 1.664762302e+02 3.7e-10 2.00
64 6.2e-07 8.8e-03 3.9e-05 1.00e+00 1.664746969e+02 1.664761772e+02 3.3e-10 2.03
65 5.5e-07 8.7e-03 3.5e-05 1.00e+00 1.664747971e+02 1.664761294e+02 3.0e-10 2.06
66 5.0e-07 8.6e-03 3.2e-05 1.00e+00 1.664748873e+02 1.664760863e+02 2.7e-10 2.09
67 4.5e-07 8.5e-03 2.9e-05 1.00e+00 1.664749685e+02 1.664760476e+02 2.4e-10 2.12
68 4.0e-07 8.4e-03 2.6e-05 9.99e-01 1.664750414e+02 1.664760127e+02 2.2e-10 2.15
69 3.6e-07 8.3e-03 2.3e-05 1.00e+00 1.664751071e+02 1.664759812e+02 2.0e-10 2.18
70 3.3e-07 8.2e-03 2.1e-05 9.99e-01 1.664751661e+02 1.664759529e+02 1.8e-10 2.21
71 2.9e-07 8.2e-03 1.9e-05 1.00e+00 1.664752193e+02 1.664759273e+02 1.6e-10 2.24
72 2.6e-07 8.1e-03 1.7e-05 1.00e+00 1.664752671e+02 1.664759043e+02 1.4e-10 2.27
73 2.4e-07 8.1e-03 1.5e-05 9.99e-01 1.664753101e+02 1.664758836e+02 1.3e-10 2.30
74 2.1e-07 8.0e-03 1.4e-05 9.99e-01 1.664753487e+02 1.664758650e+02 1.2e-10 2.32
75 1.9e-07 8.0e-03 1.2e-05 1.00e+00 1.664753836e+02 1.664758481e+02 1.0e-10 2.36
76 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.664754149e+02 1.664758330e+02 9.4e-11 2.38
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754431e+02 1.664758193e+02 8.5e-11 2.42
78 1.4e-07 7.8e-03 9.0e-06 1.00e+00 1.664754684e+02 1.664758071e+02 7.6e-11 2.45
79 1.3e-07 7.8e-03 8.1e-06 1.00e+00 1.664754914e+02 1.664757959e+02 6.9e-11 2.48
80 1.1e-07 7.8e-03 7.3e-06 1.00e+00 1.664755120e+02 1.664757860e+02 6.2e-11 2.50
81 1.0e-07 7.8e-03 6.6e-06 9.98e-01 1.664755304e+02 1.664757771e+02 5.6e-11 2.53
82 9.2e-08 7.7e-03 5.9e-06 9.97e-01 1.664755470e+02 1.664757690e+02 5.0e-11 2.56
83 8.3e-08 7.7e-03 5.3e-06 1.00e+00 1.664755620e+02 1.664757617e+02 4.5e-11 2.59
84 7.5e-08 7.7e-03 4.8e-06 9.98e-01 1.664755755e+02 1.664757552e+02 4.1e-11 2.61
85 6.7e-08 6.9e-03 4.3e-06 1.01e+00 1.664755879e+02 1.664757492e+02 3.7e-11 2.64
86 6.1e-08 6.2e-03 3.9e-06 9.94e-01 1.664755988e+02 1.664757439e+02 3.3e-11 2.67
87 5.5e-08 5.6e-03 3.5e-06 1.01e+00 1.664756089e+02 1.664757390e+02 3.0e-11 2.70
88 4.9e-08 5.0e-03 3.1e-06 1.00e+00 1.664756178e+02 1.664757347e+02 2.7e-11 2.73
89 4.4e-08 4.5e-03 2.8e-06 9.98e-01 1.664756257e+02 1.664757309e+02 2.4e-11 2.76
90 4.0e-08 4.1e-03 2.5e-06 9.95e-01 1.664756327e+02 1.664757275e+02 2.2e-11 2.78
91 3.6e-08 3.7e-03 2.3e-06 9.97e-01 1.664756391e+02 1.664757244e+02 2.0e-11 2.81
92 3.2e-08 3.3e-03 2.1e-06 1.00e+00 1.664756449e+02 1.664757216e+02 1.8e-11 2.84
93 2.9e-08 3.0e-03 1.9e-06 1.01e+00 1.664756502e+02 1.664757190e+02 1.6e-11 2.87
94 2.6e-08 2.7e-03 1.7e-06 9.96e-01 1.664756548e+02 1.664757168e+02 1.4e-11 2.90
95 2.3e-08 2.4e-03 1.5e-06 9.82e-01 1.664756590e+02 1.664757148e+02 1.3e-11 2.92
96 2.1e-08 2.2e-03 1.4e-06 1.02e+00 1.664756630e+02 1.664757128e+02 1.2e-11 2.95
97 1.9e-08 2.0e-03 1.2e-06 9.96e-01 1.664756663e+02 1.664757112e+02 1.0e-11 2.98
98 1.7e-08 1.8e-03 1.1e-06 1.01e+00 1.664756695e+02 1.664757096e+02 9.5e-12 3.01
99 1.5e-08 1.6e-03 9.8e-07 1.02e+00 1.664756724e+02 1.664757082e+02 8.6e-12 3.04
100 1.4e-08 1.4e-03 8.9e-07 9.86e-01 1.664756748e+02 1.664757071e+02 7.7e-12 3.06
101 1.2e-08 1.3e-03 8.0e-07 1.05e+00 1.664756774e+02 1.664757057e+02 7.1e-12 3.09
102 1.1e-08 1.2e-03 7.2e-07 1.01e+00 1.664756794e+02 1.664757048e+02 6.4e-12 3.12
103 1.0e-08 1.0e-03 6.5e-07 9.93e-01 1.664756811e+02 1.664757040e+02 5.8e-12 3.15
104 9.1e-09 9.3e-04 5.8e-07 1.01e+00 1.664756827e+02 1.664757032e+02 5.2e-12 3.17
105 3.6e-09 9.6e-05 6.0e-08 9.77e-01 1.664756952e+02 1.664756973e+02 5.8e-13 3.20
Interior-point optimizer terminated. Time: 3.21.
Optimizer terminated. Time: 3.25
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569517e+02 Viol. con: 8e-08 var: 0e+00
Dual. obj: 1.6647569730e+02 Viol. con: 0e+00 var: 6e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.28 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 : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280507087e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258771625e+05 3.574359781e+00 4.8e-01 0.28
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197600732e+05 1.017435447e+01 1.9e-01 0.31
3 2.9e+02 3.6e+02 1.6e+04 -8.40e-01 -1.150414978e+05 6.302898042e+01 1.2e-01 0.34
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124384910e+05 2.261517058e+03 1.2e-01 0.38
5 7.5e+01 9.6e+01 4.2e+03 -7.52e-01 -7.457689600e+04 9.579753554e+03 3.3e-02 0.41
6 3.0e+01 3.8e+01 1.7e+03 -1.97e-01 -4.046195715e+04 1.027491888e+04 1.3e-02 0.44
7 1.8e+01 2.3e+01 1.0e+03 3.92e-01 -2.694187257e+04 6.671814355e+03 7.9e-03 0.47
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.557346065e+04 3.882130270e+03 4.3e-03 0.50
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.391615519e+03 1.890793770e+03 1.7e-03 0.53
10 2.1e+00 2.6e+00 1.2e+02 9.41e-01 -3.269353432e+03 1.203687824e+03 9.2e-04 0.57
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.531762926e+03 7.332234930e+02 4.7e-04 0.60
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.183111699e+03 6.026639875e+02 3.6e-04 0.63
13 4.8e-01 6.1e-01 2.7e+01 9.74e-01 -6.438562445e+02 4.230538590e+02 2.2e-04 0.67
14 2.7e-01 3.5e-01 1.5e+01 1.00e+00 -2.811398020e+02 3.129271341e+02 1.2e-04 0.70
15 9.5e-02 1.5e-01 5.4e+00 1.00e+00 -7.759277803e+00 2.065007619e+02 4.4e-05 0.73
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.584265657e+01 2.085236080e+02 4.0e-05 0.76
17 5.8e-02 9.1e-02 3.3e+00 1.02e+00 6.553893649e+01 1.939123561e+02 2.7e-05 0.79
18 2.7e-02 7.0e-02 1.6e+00 1.02e+00 1.190289585e+02 1.797908762e+02 1.3e-05 0.82
19 7.7e-03 1.9e-01 4.5e-01 1.02e+00 1.538470202e+02 1.711118045e+02 3.6e-06 0.86
20 3.1e-03 2.3e-01 1.8e-01 1.01e+00 1.611239480e+02 1.680954428e+02 1.5e-06 0.89
21 1.8e-03 1.4e-01 1.1e-01 1.01e+00 1.633668365e+02 1.674679247e+02 8.8e-07 0.92
22 5.4e-04 1.3e-01 3.3e-02 1.01e+00 1.655415966e+02 1.667976614e+02 2.7e-07 0.95
23 3.9e-04 1.1e-01 2.4e-02 9.97e-01 1.657990279e+02 1.666978020e+02 2.0e-07 0.97
24 2.1e-04 7.7e-02 1.3e-02 9.85e-01 1.660842302e+02 1.665892950e+02 1.1e-07 1.00
25 1.8e-04 6.6e-02 1.1e-02 1.00e+00 1.661383993e+02 1.665728183e+02 9.5e-08 1.03
26 1.7e-04 6.0e-02 1.0e-02 1.01e+00 1.661706621e+02 1.665613780e+02 8.6e-08 1.05
27 1.5e-04 5.5e-02 9.3e-03 1.01e+00 1.661983158e+02 1.665498392e+02 7.7e-08 1.08
28 1.3e-04 5.0e-02 8.3e-03 1.01e+00 1.662233499e+02 1.665396456e+02 6.9e-08 1.11
29 1.2e-04 4.6e-02 7.5e-03 1.01e+00 1.662457717e+02 1.665303776e+02 6.2e-08 1.15
30 1.1e-04 4.2e-02 6.8e-03 1.01e+00 1.662658957e+02 1.665219917e+02 5.6e-08 1.18
31 9.8e-05 3.9e-02 6.1e-03 1.01e+00 1.662839530e+02 1.665143995e+02 5.1e-08 1.21
32 8.8e-05 3.5e-02 5.5e-03 1.01e+00 1.663001576e+02 1.665075270e+02 4.6e-08 1.24
33 7.9e-05 3.3e-02 4.9e-03 1.00e+00 1.663147000e+02 1.665013063e+02 4.1e-08 1.27
34 7.1e-05 3.0e-02 4.4e-03 1.00e+00 1.663277512e+02 1.664956757e+02 3.7e-08 1.30
35 6.4e-05 2.8e-02 4.0e-03 1.00e+00 1.663394651e+02 1.664905802e+02 3.3e-08 1.33
36 5.8e-05 2.6e-02 3.6e-03 1.00e+00 1.663499794e+02 1.664859694e+02 3.0e-08 1.36
37 5.2e-05 2.4e-02 3.2e-03 1.00e+00 1.663594180e+02 1.664817982e+02 2.7e-08 1.39
38 4.7e-05 2.2e-02 2.9e-03 1.00e+00 1.663678918e+02 1.664780253e+02 2.4e-08 1.42
39 4.2e-05 2.1e-02 2.6e-03 1.00e+00 1.663755002e+02 1.664746135e+02 2.2e-08 1.45
40 3.8e-05 2.0e-02 2.4e-03 1.00e+00 1.663823323e+02 1.664715289e+02 2.0e-08 1.48
41 3.4e-05 1.8e-02 2.1e-03 1.00e+00 1.663884680e+02 1.664687407e+02 1.8e-08 1.51
42 3.1e-05 1.7e-02 1.9e-03 1.00e+00 1.663939787e+02 1.664662208e+02 1.6e-08 1.54
43 2.8e-05 1.6e-02 1.7e-03 1.00e+00 1.663989286e+02 1.664639439e+02 1.4e-08 1.57
44 2.5e-05 1.6e-02 1.5e-03 1.00e+00 1.664033749e+02 1.664618867e+02 1.3e-08 1.60
45 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664073693e+02 1.664600284e+02 1.2e-08 1.63
46 2.0e-05 1.4e-02 1.3e-03 1.00e+00 1.664109579e+02 1.664583499e+02 1.0e-08 1.66
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664141822e+02 1.664568341e+02 9.4e-09 1.69
48 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664170793e+02 1.664554653e+02 8.5e-09 1.72
49 1.5e-05 1.2e-02 9.1e-04 1.00e+00 1.664196826e+02 1.664542296e+02 7.6e-09 1.76
50 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664220220e+02 1.664531140e+02 6.9e-09 1.78
51 1.2e-05 1.1e-02 7.4e-04 1.00e+00 1.664241245e+02 1.664521071e+02 6.2e-09 1.81
52 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.664260142e+02 1.664511984e+02 5.6e-09 1.84
53 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664277127e+02 1.664503783e+02 5.0e-09 1.88
54 8.7e-06 1.1e-02 5.4e-04 1.00e+00 1.664292395e+02 1.664496385e+02 4.5e-09 1.91
55 7.8e-06 1.0e-02 4.9e-04 1.00e+00 1.664306120e+02 1.664489712e+02 4.0e-09 1.94
56 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318459e+02 1.664483691e+02 3.6e-09 1.98
57 6.3e-06 9.8e-03 3.9e-04 1.00e+00 1.664329552e+02 1.664478262e+02 3.3e-09 2.02
58 5.7e-06 9.6e-03 3.5e-04 1.00e+00 1.664339527e+02 1.664473366e+02 3.0e-09 2.05
59 5.1e-06 9.4e-03 3.2e-04 1.00e+00 1.664348495e+02 1.664468951e+02 2.7e-09 2.08
60 4.6e-06 9.3e-03 2.9e-04 1.00e+00 1.664356559e+02 1.664464970e+02 2.4e-09 2.11
61 4.2e-06 9.1e-03 2.6e-04 1.00e+00 1.664363810e+02 1.664461381e+02 2.2e-09 2.14
62 3.7e-06 9.0e-03 2.3e-04 1.00e+00 1.664370330e+02 1.664458145e+02 1.9e-09 2.18
63 3.4e-06 8.9e-03 2.1e-04 1.00e+00 1.664376194e+02 1.664455227e+02 1.7e-09 2.20
64 3.0e-06 8.8e-03 1.9e-04 1.00e+00 1.664381466e+02 1.664452596e+02 1.6e-09 2.23
65 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386207e+02 1.664450226e+02 1.4e-09 2.26
66 2.5e-06 8.6e-03 1.5e-04 1.00e+00 1.664390472e+02 1.664448089e+02 1.3e-09 2.30
67 2.2e-06 8.5e-03 1.4e-04 1.00e+00 1.664394308e+02 1.664446164e+02 1.1e-09 2.33
68 2.0e-06 8.4e-03 1.2e-04 1.00e+00 1.664397759e+02 1.664444429e+02 1.0e-09 2.36
69 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400863e+02 1.664442867e+02 9.3e-10 2.39
70 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403656e+02 1.664441459e+02 8.3e-10 2.42
71 1.4e-06 8.2e-03 9.0e-05 1.00e+00 1.664406168e+02 1.664440191e+02 7.5e-10 2.44
72 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408429e+02 1.664439050e+02 6.8e-10 2.47
73 1.2e-06 8.1e-03 7.3e-05 1.00e+00 1.664410462e+02 1.664438021e+02 6.1e-10 2.50
74 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412292e+02 1.664437095e+02 5.5e-10 2.53
75 9.5e-07 8.0e-03 5.9e-05 1.00e+00 1.664413938e+02 1.664436261e+02 4.9e-10 2.56
76 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415418e+02 1.664435510e+02 4.4e-10 2.59
77 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416751e+02 1.664434833e+02 4.0e-10 2.62
78 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417949e+02 1.664434224e+02 3.6e-10 2.66
79 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419027e+02 1.664433675e+02 3.2e-10 2.69
80 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664419997e+02 1.664433179e+02 2.9e-10 2.72
81 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420869e+02 1.664432734e+02 2.6e-10 2.75
82 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421654e+02 1.664432332e+02 2.4e-10 2.78
83 4.1e-07 7.8e-03 2.5e-05 1.00e+00 1.664422360e+02 1.664431971e+02 2.1e-10 2.81
84 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422995e+02 1.664431645e+02 1.9e-10 2.84
85 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423567e+02 1.664431352e+02 1.7e-10 2.87
86 3.0e-07 7.7e-03 1.9e-05 1.00e+00 1.664424081e+02 1.664431087e+02 1.5e-10 2.90
87 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424544e+02 1.664430849e+02 1.4e-10 2.93
88 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424960e+02 1.664430635e+02 1.3e-10 2.96
89 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.664425335e+02 1.664430442e+02 1.1e-10 2.99
90 2.0e-07 7.6e-03 1.2e-05 1.00e+00 1.664425672e+02 1.664430269e+02 1.0e-10 3.02
91 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425976e+02 1.664430113e+02 9.1e-11 3.05
92 1.6e-07 7.6e-03 9.9e-06 1.00e+00 1.664426249e+02 1.664429972e+02 8.2e-11 3.08
93 1.4e-07 7.6e-03 8.9e-06 9.96e-01 1.664426495e+02 1.664429846e+02 7.4e-11 3.11
94 1.3e-07 7.6e-03 8.0e-06 1.00e+00 1.664426716e+02 1.664429732e+02 6.7e-11 3.14
95 1.2e-07 7.6e-03 7.2e-06 9.98e-01 1.664426915e+02 1.664429630e+02 6.0e-11 3.18
96 1.0e-07 7.5e-03 6.5e-06 1.00e+00 1.664427095e+02 1.664429538e+02 5.4e-11 3.22
97 9.4e-08 7.5e-03 5.8e-06 1.00e+00 1.664427256e+02 1.664429455e+02 4.9e-11 3.26
98 8.4e-08 7.5e-03 5.2e-06 9.96e-01 1.664427401e+02 1.664429380e+02 4.4e-11 3.29
99 7.6e-08 7.5e-03 4.7e-06 1.00e+00 1.664427532e+02 1.664429313e+02 3.9e-11 3.31
100 6.8e-08 7.5e-03 4.2e-06 9.98e-01 1.664427649e+02 1.664429253e+02 3.5e-11 3.35
101 6.1e-08 7.5e-03 3.8e-06 1.00e+00 1.664427755e+02 1.664429198e+02 3.2e-11 3.38
102 5.5e-08 6.7e-03 3.4e-06 1.01e+00 1.664427852e+02 1.664429148e+02 2.9e-11 3.41
103 5.0e-08 6.1e-03 3.1e-06 9.95e-01 1.664427938e+02 1.664429104e+02 2.6e-11 3.44
104 4.5e-08 5.5e-03 2.8e-06 1.02e+00 1.664428019e+02 1.664429062e+02 2.3e-11 3.47
105 4.0e-08 4.9e-03 2.5e-06 1.01e+00 1.664428090e+02 1.664429025e+02 2.1e-11 3.50
106 3.6e-08 4.4e-03 2.3e-06 1.00e+00 1.664428152e+02 1.664428993e+02 1.9e-11 3.53
107 3.3e-08 4.0e-03 2.0e-06 1.00e+00 1.664428208e+02 1.664428965e+02 1.7e-11 3.56
108 2.9e-08 3.6e-03 1.8e-06 9.90e-01 1.664428258e+02 1.664428939e+02 1.5e-11 3.59
109 2.6e-08 3.2e-03 1.6e-06 1.00e+00 1.664428303e+02 1.664428916e+02 1.4e-11 3.62
110 2.4e-08 2.9e-03 1.5e-06 1.01e+00 1.664428344e+02 1.664428895e+02 1.3e-11 3.64
111 2.1e-08 2.6e-03 1.3e-06 9.69e-01 1.664428380e+02 1.664428877e+02 1.1e-11 3.68
112 1.9e-08 2.4e-03 1.2e-06 1.04e+00 1.664428419e+02 1.664428856e+02 1.0e-11 3.71
113 1.7e-08 2.1e-03 1.1e-06 9.87e-01 1.664428448e+02 1.664428842e+02 9.3e-12 3.74
114 1.6e-08 1.9e-03 9.7e-07 9.77e-01 1.664428474e+02 1.664428829e+02 8.4e-12 3.76
115 1.4e-08 1.7e-03 8.7e-07 1.01e+00 1.664428498e+02 1.664428816e+02 7.6e-12 3.79
116 1.3e-08 1.5e-03 7.9e-07 1.03e+00 1.664428522e+02 1.664428803e+02 6.9e-12 3.82
117 1.2e-08 1.4e-03 7.1e-07 1.12e+00 1.664428551e+02 1.664428786e+02 6.6e-12 3.86
118 1.1e-08 1.2e-03 6.4e-07 1.03e+00 1.664428569e+02 1.664428777e+02 6.0e-12 3.89
119 1.0e-08 1.1e-03 5.7e-07 1.05e+00 1.664428586e+02 1.664428768e+02 5.5e-12 3.91
120 1.0e-08 1.0e-03 5.2e-07 1.10e+00 1.664428604e+02 1.664428759e+02 5.2e-12 3.94
121 9.4e-09 9.1e-04 4.6e-07 8.96e-01 1.664428614e+02 1.664428754e+02 4.7e-12 3.97
122 1.2e-08 8.2e-04 4.2e-07 1.11e+00 1.664428628e+02 1.664428746e+02 4.4e-12 4.00
123 1.1e-08 7.4e-04 3.8e-07 7.16e-01 1.664428637e+02 1.664428741e+02 4.0e-12 4.03
124 9.5e-09 6.6e-04 3.4e-07 8.85e-01 1.664428644e+02 1.664428739e+02 3.6e-12 4.07
125 8.8e-09 6.0e-04 3.0e-07 1.62e+00 1.664428649e+02 1.664428737e+02 3.2e-12 4.10
126 1.4e-08 5.4e-04 2.7e-07 9.80e-01 1.664428655e+02 1.664428734e+02 2.9e-12 4.13
127 1.0e-08 4.9e-04 2.5e-07 3.51e+00 1.664428656e+02 1.664428744e+02 2.6e-12 4.16
128 1.0e-08 4.4e-04 2.2e-07 1.26e+00 1.664428661e+02 1.664428740e+02 2.3e-12 4.19
129 8.3e-09 3.9e-04 2.0e-07 1.52e+00 1.664428666e+02 1.664428735e+02 2.1e-12 4.22
130 7.3e-09 3.5e-04 1.8e-07 1.33e+00 1.664428671e+02 1.664428731e+02 1.9e-12 4.26
131 8.5e-09 3.2e-04 1.6e-07 8.95e-01 1.664428674e+02 1.664428730e+02 1.7e-12 4.29
132 7.9e-09 2.9e-04 1.5e-07 9.85e-01 1.664428678e+02 1.664428728e+02 1.5e-12 4.32
133 8.1e-09 2.6e-04 1.3e-07 1.40e+00 1.664428681e+02 1.664428727e+02 1.4e-12 4.35
134 7.8e-09 2.3e-04 1.2e-07 6.38e-01 1.664428683e+02 1.664428726e+02 1.2e-12 4.38
135 7.0e-09 2.1e-04 1.1e-07 2.08e+00 1.664428686e+02 1.664428724e+02 1.1e-12 4.41
136 6.2e-09 1.9e-04 9.6e-08 2.08e+00 1.664428688e+02 1.664428721e+02 9.9e-13 4.45
Interior-point optimizer terminated. Time: 4.45.
Optimizer terminated. Time: 4.47
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286881e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6644287211e+02 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.49 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280489620e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258746553e+05 3.573540289e+00 4.8e-01 0.18
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197248600e+05 1.020047318e+01 1.9e-01 0.22
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150061317e+05 6.350446101e+01 1.2e-01 0.25
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124090183e+05 2.256517855e+03 1.2e-01 0.28
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.445937246e+04 9.583539029e+03 3.3e-02 0.31
6 3.0e+01 3.8e+01 1.7e+03 -1.95e-01 -4.029022587e+04 1.021234816e+04 1.3e-02 0.34
7 1.8e+01 2.3e+01 9.9e+02 3.95e-01 -2.693760748e+04 6.641994124e+03 7.9e-03 0.37
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.531787982e+04 3.830169009e+03 4.2e-03 0.40
9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.905151436e+03 1.796568094e+03 1.6e-03 0.43
10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.113306366e+03 1.193553800e+03 8.9e-04 0.46
11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.224279099e+03 6.160614137e+02 3.8e-04 0.50
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.207774812e+03 5.913551854e+02 3.7e-04 0.53
13 5.1e-01 6.6e-01 2.8e+01 9.72e-01 -7.035556538e+02 4.268393536e+02 2.3e-04 0.56
14 3.1e-01 4.1e-01 1.7e+01 1.00e+00 -3.505725226e+02 3.411835684e+02 1.4e-04 0.59
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.684317324e+01 2.143797439e+02 5.0e-05 0.62
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.198036383e+01 2.045206580e+02 3.8e-05 0.65
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.511118648e+01 1.869515240e+02 1.9e-05 0.68
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425321336e+02 1.741988286e+02 6.7e-06 0.71
19 6.3e-03 7.2e-02 3.6e-01 1.01e+00 1.556742017e+02 1.695988161e+02 2.9e-06 0.74
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638770137e+02 1.673909982e+02 7.5e-07 0.77
21 8.1e-04 1.1e-01 5.0e-02 9.78e-01 1.650490403e+02 1.669446510e+02 4.1e-07 0.80
22 2.5e-04 1.1e-01 1.6e-02 9.89e-01 1.659981425e+02 1.666010152e+02 1.3e-07 0.82
23 1.2e-04 8.9e-02 7.5e-03 1.01e+00 1.662206644e+02 1.665064769e+02 6.3e-08 0.85
24 4.6e-05 8.6e-02 3.1e-03 1.01e+00 1.663410525e+02 1.664565391e+02 2.6e-08 0.88
25 2.1e-05 7.8e-02 1.4e-03 1.01e+00 1.663845648e+02 1.664381949e+02 1.2e-08 0.92
26 1.9e-05 7.1e-02 1.3e-03 1.00e+00 1.663890759e+02 1.664373711e+02 1.1e-08 0.95
27 1.7e-05 6.5e-02 1.2e-03 1.01e+00 1.663923511e+02 1.664358041e+02 9.7e-09 0.97
28 1.6e-05 5.9e-02 1.0e-03 1.00e+00 1.663953581e+02 1.664344591e+02 8.8e-09 1.00
29 1.4e-05 5.4e-02 9.3e-04 1.00e+00 1.663980493e+02 1.664332341e+02 7.9e-09 1.03
30 1.3e-05 5.0e-02 8.4e-04 1.00e+00 1.664004692e+02 1.664321306e+02 7.1e-09 1.06
31 1.1e-05 4.5e-02 7.5e-04 1.00e+00 1.664026437e+02 1.664311349e+02 6.4e-09 1.08
32 1.0e-05 4.2e-02 6.8e-04 1.00e+00 1.664045980e+02 1.664302368e+02 5.8e-09 1.11
33 9.2e-06 3.8e-02 6.1e-04 1.00e+00 1.664063545e+02 1.664294268e+02 5.2e-09 1.13
34 8.3e-06 3.5e-02 5.5e-04 1.00e+00 1.664079334e+02 1.664286963e+02 4.7e-09 1.16
35 7.5e-06 3.3e-02 5.0e-04 1.00e+00 1.664093527e+02 1.664280377e+02 4.2e-09 1.18
36 6.7e-06 3.0e-02 4.5e-04 1.00e+00 1.664106287e+02 1.664274438e+02 3.8e-09 1.21
37 6.1e-06 2.8e-02 4.0e-04 1.00e+00 1.664117760e+02 1.664269083e+02 3.4e-09 1.24
38 5.5e-06 2.6e-02 3.6e-04 1.00e+00 1.664128075e+02 1.664264257e+02 3.1e-09 1.27
39 4.9e-06 2.4e-02 3.3e-04 1.00e+00 1.664137350e+02 1.664259907e+02 2.8e-09 1.30
40 4.4e-06 2.2e-02 2.9e-04 1.00e+00 1.664145691e+02 1.664255986e+02 2.5e-09 1.33
41 4.0e-06 2.1e-02 2.6e-04 1.00e+00 1.664153191e+02 1.664252451e+02 2.2e-09 1.36
42 3.6e-06 2.0e-02 2.4e-04 1.00e+00 1.664159936e+02 1.664249266e+02 2.0e-09 1.39
43 3.2e-06 1.8e-02 2.1e-04 1.00e+00 1.664166001e+02 1.664246396e+02 1.8e-09 1.42
44 2.9e-06 1.7e-02 1.9e-04 1.00e+00 1.664171455e+02 1.664243809e+02 1.6e-09 1.45
45 2.6e-06 1.6e-02 1.7e-04 1.00e+00 1.664176361e+02 1.664241477e+02 1.5e-09 1.48
46 2.3e-06 1.6e-02 1.6e-04 1.00e+00 1.664180773e+02 1.664239376e+02 1.3e-09 1.51
47 2.1e-06 1.5e-02 1.4e-04 1.00e+00 1.664184743e+02 1.664237484e+02 1.2e-09 1.54
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664188314e+02 1.664235780e+02 1.1e-09 1.56
49 1.7e-06 1.3e-02 1.1e-04 1.00e+00 1.664191526e+02 1.664234245e+02 9.6e-10 1.59
50 1.5e-06 1.3e-02 1.0e-04 1.00e+00 1.664194417e+02 1.664232862e+02 8.6e-10 1.61
51 1.4e-06 1.2e-02 9.2e-05 1.00e+00 1.664197017e+02 1.664231618e+02 7.8e-10 1.64
52 1.2e-06 1.2e-02 8.3e-05 1.00e+00 1.664199356e+02 1.664230497e+02 7.0e-10 1.67
53 1.1e-06 1.1e-02 7.4e-05 1.00e+00 1.664201461e+02 1.664229487e+02 6.3e-10 1.70
54 1.0e-06 1.1e-02 6.7e-05 1.00e+00 1.664203355e+02 1.664228578e+02 5.7e-10 1.73
55 9.1e-07 1.1e-02 6.0e-05 1.00e+00 1.664205058e+02 1.664227759e+02 5.1e-10 1.76
56 8.2e-07 1.0e-02 5.4e-05 1.00e+00 1.664206591e+02 1.664227022e+02 4.6e-10 1.79
57 7.4e-07 1.0e-02 4.9e-05 1.00e+00 1.664207970e+02 1.664226357e+02 4.1e-10 1.81
58 6.6e-07 9.9e-03 4.4e-05 1.00e+00 1.664209211e+02 1.664225759e+02 3.7e-10 1.84
59 6.0e-07 9.7e-03 4.0e-05 1.00e+00 1.664210327e+02 1.664225220e+02 3.3e-10 1.86
60 5.4e-07 9.5e-03 3.6e-05 1.00e+00 1.664211331e+02 1.664224735e+02 3.0e-10 1.89
61 4.8e-07 9.3e-03 3.2e-05 1.00e+00 1.664212234e+02 1.664224297e+02 2.7e-10 1.92
62 4.4e-07 9.1e-03 2.9e-05 9.99e-01 1.664213046e+02 1.664223904e+02 2.4e-10 1.95
63 3.9e-07 9.0e-03 2.6e-05 9.99e-01 1.664213777e+02 1.664223550e+02 2.2e-10 1.98
64 3.5e-07 8.9e-03 2.3e-05 1.00e+00 1.664214434e+02 1.664223230e+02 2.0e-10 2.01
65 3.2e-07 8.7e-03 2.1e-05 1.00e+00 1.664215026e+02 1.664222941e+02 1.8e-10 2.04
66 2.9e-07 8.6e-03 1.9e-05 1.00e+00 1.664215558e+02 1.664222682e+02 1.6e-10 2.07
67 2.6e-07 8.5e-03 1.7e-05 9.99e-01 1.664216037e+02 1.664222449e+02 1.4e-10 2.10
68 2.3e-07 8.4e-03 1.5e-05 1.00e+00 1.664216467e+02 1.664222238e+02 1.3e-10 2.13
69 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664216855e+02 1.664222048e+02 1.2e-10 2.17
70 1.9e-07 8.3e-03 1.2e-05 1.00e+00 1.664217204e+02 1.664221878e+02 1.1e-10 2.20
71 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217518e+02 1.664221725e+02 9.5e-11 2.23
72 1.5e-07 8.1e-03 1.0e-05 1.00e+00 1.664217800e+02 1.664221586e+02 8.5e-11 2.26
73 1.4e-07 8.1e-03 9.0e-06 9.98e-01 1.664218054e+02 1.664221462e+02 7.7e-11 2.29
74 1.2e-07 8.0e-03 8.1e-06 9.98e-01 1.664218283e+02 1.664221350e+02 6.9e-11 2.32
75 1.1e-07 8.0e-03 7.3e-06 1.00e+00 1.664218489e+02 1.664221249e+02 6.2e-11 2.35
76 1.0e-07 7.9e-03 6.6e-06 9.97e-01 1.664218674e+02 1.664221159e+02 5.6e-11 2.38
77 9.0e-08 7.9e-03 5.9e-06 1.01e+00 1.664218843e+02 1.664221076e+02 5.0e-11 2.41
78 8.1e-08 7.9e-03 5.3e-06 1.00e+00 1.664218994e+02 1.664221001e+02 4.5e-11 2.44
79 7.3e-08 7.9e-03 4.8e-06 1.01e+00 1.664219131e+02 1.664220934e+02 4.1e-11 2.48
80 6.5e-08 7.8e-03 4.3e-06 9.99e-01 1.664219252e+02 1.664220875e+02 3.7e-11 2.51
81 5.9e-08 7.8e-03 3.9e-06 9.98e-01 1.664219361e+02 1.664220822e+02 3.3e-11 2.54
82 5.3e-08 7.8e-03 3.5e-06 1.00e+00 1.664219459e+02 1.664220774e+02 3.0e-11 2.57
83 4.8e-08 7.7e-03 3.2e-06 9.82e-01 1.664219547e+02 1.664220731e+02 2.7e-11 2.60
84 4.3e-08 7.7e-03 2.8e-06 1.00e+00 1.664219626e+02 1.664220692e+02 2.4e-11 2.63
85 3.9e-08 6.9e-03 2.6e-06 1.01e+00 1.664219701e+02 1.664220655e+02 2.2e-11 2.66
86 3.5e-08 6.2e-03 2.3e-06 1.00e+00 1.664219765e+02 1.664220623e+02 2.0e-11 2.69
87 3.1e-08 5.6e-03 2.1e-06 9.96e-01 1.664219823e+02 1.664220595e+02 1.8e-11 2.72
88 2.8e-08 5.1e-03 1.9e-06 1.00e+00 1.664219875e+02 1.664220569e+02 1.6e-11 2.75
89 2.5e-08 4.5e-03 1.7e-06 9.86e-01 1.664219922e+02 1.664220547e+02 1.4e-11 2.78
90 2.3e-08 4.1e-03 1.5e-06 9.82e-01 1.664219963e+02 1.664220527e+02 1.3e-11 2.81
91 2.0e-08 3.7e-03 1.4e-06 9.88e-01 1.664220001e+02 1.664220508e+02 1.2e-11 2.84
92 1.8e-08 3.3e-03 1.2e-06 9.66e-01 1.664220035e+02 1.664220492e+02 1.0e-11 2.88
93 1.7e-08 3.0e-03 1.1e-06 1.01e+00 1.664220067e+02 1.664220476e+02 9.5e-12 2.90
94 1.5e-08 2.7e-03 9.9e-07 9.58e-01 1.664220094e+02 1.664220463e+02 8.5e-12 2.93
95 1.3e-08 2.4e-03 8.9e-07 1.03e+00 1.664220121e+02 1.664220449e+02 7.8e-12 2.96
96 1.2e-08 2.2e-03 8.0e-07 9.92e-01 1.664220143e+02 1.664220438e+02 7.0e-12 2.99
97 1.1e-08 2.0e-03 7.2e-07 9.95e-01 1.664220163e+02 1.664220429e+02 6.3e-12 3.03
98 9.9e-09 1.8e-03 6.5e-07 1.03e+00 1.664220183e+02 1.664220418e+02 5.7e-12 3.06
99 8.9e-09 1.6e-03 5.8e-07 9.82e-01 1.664220199e+02 1.664220411e+02 5.2e-12 3.09
100 8.1e-09 1.4e-03 5.3e-07 1.06e+00 1.664220217e+02 1.664220401e+02 4.8e-12 3.12
101 7.4e-09 1.3e-03 4.7e-07 1.08e+00 1.664220234e+02 1.664220392e+02 4.5e-12 3.15
102 6.7e-09 1.2e-03 4.3e-07 9.82e-01 1.664220245e+02 1.664220387e+02 4.0e-12 3.18
103 6.0e-09 1.0e-03 3.8e-07 1.05e+00 1.664220257e+02 1.664220381e+02 3.7e-12 3.21
104 5.5e-09 9.4e-04 3.5e-07 9.34e-01 1.664220265e+02 1.664220377e+02 3.4e-12 3.24
105 4.9e-09 8.4e-04 3.1e-07 1.03e+00 1.664220274e+02 1.664220373e+02 3.1e-12 3.27
106 4.4e-09 7.6e-04 2.8e-07 9.56e-01 1.664220280e+02 1.664220370e+02 2.8e-12 3.31
107 4.0e-09 6.8e-04 2.5e-07 1.08e+00 1.664220289e+02 1.664220366e+02 2.6e-12 3.34
108 3.9e-09 4.0e-05 1.5e-08 9.02e-01 1.664220339e+02 1.664220344e+02 2.6e-13 3.37
Interior-point optimizer terminated. Time: 3.37.
Optimizer terminated. Time: 3.39
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203389e+02 Viol. con: 9e-08 var: 0e+00
Dual. obj: 1.6642203437e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.41 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : Linux/64-X86
Cores : 20
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 20
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.05 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.04
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280480915e+05 2.000000000e+00 1.0e+00 0.07
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258735653e+05 3.573329054e+00 4.8e-01 0.22
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197005180e+05 1.021704769e+01 1.9e-01 0.25
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.149813365e+05 6.382279983e+01 1.2e-01 0.28
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.123855379e+05 2.255174552e+03 1.2e-01 0.31
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.423606724e+04 9.613731112e+03 3.3e-02 0.34
6 3.0e+01 3.8e+01 1.6e+03 -1.92e-01 -4.018138781e+04 1.017431390e+04 1.3e-02 0.37
7 1.8e+01 2.3e+01 9.9e+02 3.96e-01 -2.694058418e+04 6.639013280e+03 7.9e-03 0.40
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.520626088e+04 3.808635916e+03 4.1e-03 0.43
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.318854276e+03 1.679777099e+03 1.4e-03 0.46
10 1.6e+00 2.0e+00 8.9e+01 9.54e-01 -2.417641825e+03 1.055145106e+03 7.1e-04 0.48
11 9.5e-01 1.2e+00 5.3e+01 9.86e-01 -1.370561768e+03 7.033921606e+02 4.2e-04 0.51
12 8.6e-01 1.1e+00 4.8e+01 9.64e-01 -1.258995821e+03 6.421021672e+02 3.8e-04 0.54
13 4.8e-01 6.1e-01 2.7e+01 9.77e-01 -6.393553880e+02 4.225781680e+02 2.1e-04 0.57
14 2.6e-01 3.4e-01 1.4e+01 1.00e+00 -2.623838798e+02 3.061906270e+02 1.2e-04 0.60
15 9.2e-02 1.5e-01 5.3e+00 1.00e+00 -2.393402522e+00 2.056342864e+02 4.3e-05 0.63
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.576530696e+01 2.083366601e+02 4.0e-05 0.66
17 6.0e-02 9.5e-02 3.4e+00 1.02e+00 6.107167405e+01 1.952044381e+02 2.8e-05 0.69
18 3.4e-02 7.3e-02 1.9e+00 1.02e+00 1.081913268e+02 1.827216833e+02 1.6e-05 0.73
19 9.3e-03 1.7e-01 5.4e-01 1.02e+00 1.512031159e+02 1.719127959e+02 4.3e-06 0.76
20 3.4e-03 2.1e-01 2.0e-01 1.01e+00 1.605108544e+02 1.682875791e+02 1.7e-06 0.79
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642779502e+02 1.671863563e+02 6.2e-07 0.82
22 8.5e-04 1.0e-01 5.1e-02 9.84e-01 1.649813594e+02 1.669397451e+02 4.2e-07 0.85
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659710762e+02 1.665859671e+02 1.3e-07 0.88
24 9.4e-05 1.0e-01 6.0e-03 1.01e+00 1.662464786e+02 1.664756785e+02 5.1e-08 0.91
25 3.7e-05 9.6e-02 2.4e-03 1.01e+00 1.663445768e+02 1.664349663e+02 2.0e-08 0.94
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663787301e+02 1.664205999e+02 9.5e-09 0.98
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663822233e+02 1.664199215e+02 8.5e-09 1.02
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663847898e+02 1.664187110e+02 7.7e-09 1.05
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663871435e+02 1.664176671e+02 6.9e-09 1.08
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663892517e+02 1.664167186e+02 6.2e-09 1.11
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663911476e+02 1.664158643e+02 5.6e-09 1.14
32 9.0e-06 4.7e-02 5.9e-04 1.00e+00 1.663928516e+02 1.664150938e+02 5.0e-09 1.17
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663943836e+02 1.664143991e+02 4.5e-09 1.21
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663957608e+02 1.664137729e+02 4.1e-09 1.24
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969991e+02 1.664132084e+02 3.7e-09 1.27
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663981126e+02 1.664126997e+02 3.3e-09 1.30
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663991138e+02 1.664122412e+02 3.0e-09 1.33
38 4.8e-06 2.9e-02 3.1e-04 1.00e+00 1.664000142e+02 1.664118279e+02 2.7e-09 1.36
39 4.3e-06 2.7e-02 2.8e-04 1.00e+00 1.664008239e+02 1.664114555e+02 2.4e-09 1.39
40 3.9e-06 2.5e-02 2.5e-04 1.00e+00 1.664015520e+02 1.664111200e+02 2.2e-09 1.42
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664022069e+02 1.664108176e+02 2.0e-09 1.45
42 3.1e-06 2.1e-02 2.1e-04 1.00e+00 1.664027958e+02 1.664105451e+02 1.8e-09 1.48
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664033254e+02 1.664102995e+02 1.6e-09 1.51
44 2.5e-06 1.9e-02 1.7e-04 1.00e+00 1.664038018e+02 1.664100782e+02 1.4e-09 1.54
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042303e+02 1.664098789e+02 1.3e-09 1.57
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664046158e+02 1.664096994e+02 1.2e-09 1.61
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049627e+02 1.664095378e+02 1.0e-09 1.64
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052747e+02 1.664093922e+02 9.3e-10 1.67
49 1.5e-06 1.4e-02 9.8e-05 1.00e+00 1.664055554e+02 1.664092611e+02 8.4e-10 1.70
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664058080e+02 1.664091431e+02 7.6e-10 1.73
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060353e+02 1.664090368e+02 6.8e-10 1.76
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062397e+02 1.664089410e+02 6.1e-10 1.79
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064237e+02 1.664088548e+02 5.5e-10 1.82
54 8.9e-07 1.2e-02 5.8e-05 1.00e+00 1.664065892e+02 1.664087772e+02 5.0e-10 1.84
55 8.0e-07 1.1e-02 5.2e-05 1.00e+00 1.664067381e+02 1.664087073e+02 4.5e-10 1.87
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068721e+02 1.664086444e+02 4.0e-10 1.89
57 6.5e-07 1.0e-02 4.2e-05 1.00e+00 1.664069926e+02 1.664085877e+02 3.6e-10 1.92
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664071010e+02 1.664085366e+02 3.3e-10 1.95
59 5.2e-07 9.9e-03 3.4e-05 1.00e+00 1.664071985e+02 1.664084905e+02 2.9e-10 1.98
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072862e+02 1.664084491e+02 2.6e-10 2.01
61 4.2e-07 9.5e-03 2.8e-05 1.00e+00 1.664073651e+02 1.664084117e+02 2.4e-10 2.04
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074361e+02 1.664083781e+02 2.1e-10 2.07
63 3.4e-07 9.1e-03 2.3e-05 1.00e+00 1.664075000e+02 1.664083477e+02 1.9e-10 2.10
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075574e+02 1.664083204e+02 1.7e-10 2.13
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076091e+02 1.664082958e+02 1.6e-10 2.15
66 2.5e-07 8.7e-03 1.6e-05 1.00e+00 1.664076556e+02 1.664082736e+02 1.4e-10 2.18
67 2.3e-07 8.6e-03 1.5e-05 1.00e+00 1.664076974e+02 1.664082536e+02 1.3e-10 2.22
68 2.0e-07 8.5e-03 1.3e-05 1.00e+00 1.664077351e+02 1.664082357e+02 1.1e-10 2.25
69 1.8e-07 8.4e-03 1.2e-05 9.98e-01 1.664077689e+02 1.664082195e+02 1.0e-10 2.28
70 1.6e-07 8.3e-03 1.1e-05 9.99e-01 1.664077994e+02 1.664082049e+02 9.2e-11 2.31
71 1.5e-07 8.2e-03 9.7e-06 1.00e+00 1.664078269e+02 1.664081918e+02 8.3e-11 2.34
72 1.3e-07 8.2e-03 8.7e-06 9.99e-01 1.664078515e+02 1.664081800e+02 7.5e-11 2.37
73 1.2e-07 8.1e-03 7.9e-06 9.98e-01 1.664078737e+02 1.664081694e+02 6.7e-11 2.39
74 1.1e-07 8.0e-03 7.1e-06 1.00e+00 1.664078937e+02 1.664081598e+02 6.0e-11 2.42
75 9.7e-08 8.0e-03 6.4e-06 9.96e-01 1.664079117e+02 1.664081513e+02 5.4e-11 2.45
76 8.7e-08 7.9e-03 5.7e-06 1.00e+00 1.664079279e+02 1.664081435e+02 4.9e-11 2.49
77 7.9e-08 7.9e-03 5.2e-06 1.00e+00 1.664079425e+02 1.664081365e+02 4.4e-11 2.52
78 7.1e-08 7.8e-03 4.6e-06 9.97e-01 1.664079556e+02 1.664081302e+02 4.0e-11 2.55
79 6.4e-08 7.8e-03 4.2e-06 9.97e-01 1.664079674e+02 1.664081246e+02 3.6e-11 2.57
80 5.7e-08 7.7e-03 3.8e-06 9.87e-01 1.664079780e+02 1.664081195e+02 3.2e-11 2.60
81 5.2e-08 7.7e-03 3.4e-06 9.99e-01 1.664079875e+02 1.664081149e+02 2.9e-11 2.62
82 4.6e-08 7.7e-03 3.0e-06 9.92e-01 1.664079961e+02 1.664081108e+02 2.6e-11 2.65
83 4.2e-08 7.6e-03 2.7e-06 9.87e-01 1.664080039e+02 1.664081072e+02 2.3e-11 2.68
84 3.8e-08 7.6e-03 2.5e-06 9.96e-01 1.664080108e+02 1.664081038e+02 2.1e-11 2.71
85 3.4e-08 7.6e-03 2.2e-06 9.99e-01 1.664080171e+02 1.664081008e+02 1.9e-11 2.74
86 3.0e-08 7.6e-03 2.0e-06 1.00e+00 1.664080227e+02 1.664080981e+02 1.7e-11 2.77
87 2.7e-08 7.5e-03 1.8e-06 9.91e-01 1.664080278e+02 1.664080956e+02 1.5e-11 2.80
88 2.5e-08 6.8e-03 1.6e-06 1.03e+00 1.664080330e+02 1.664080931e+02 1.4e-11 2.83
89 2.2e-08 6.1e-03 1.5e-06 9.95e-01 1.664080370e+02 1.664080911e+02 1.3e-11 2.86
90 2.0e-08 5.5e-03 1.3e-06 1.01e+00 1.664080408e+02 1.664080893e+02 1.1e-11 2.89
91 1.8e-08 4.9e-03 1.2e-06 1.02e+00 1.664080443e+02 1.664080876e+02 1.0e-11 2.92
92 1.6e-08 4.5e-03 1.1e-06 1.01e+00 1.664080474e+02 1.664080861e+02 9.3e-12 2.95
93 1.5e-08 4.0e-03 9.6e-07 1.02e+00 1.664080501e+02 1.664080847e+02 8.5e-12 2.97
94 1.3e-08 3.6e-03 8.6e-07 9.92e-01 1.664080525e+02 1.664080836e+02 7.6e-12 3.00
95 1.2e-08 3.2e-03 7.7e-07 9.72e-01 1.664080546e+02 1.664080826e+02 6.9e-12 3.03
96 1.1e-08 2.9e-03 7.0e-07 1.02e+00 1.664080567e+02 1.664080816e+02 6.2e-12 3.06
97 9.6e-09 2.6e-03 6.3e-07 9.84e-01 1.664080583e+02 1.664080808e+02 5.6e-12 3.09
98 8.6e-09 2.4e-03 5.6e-07 9.93e-01 1.664080599e+02 1.664080801e+02 5.1e-12 3.12
99 7.8e-09 2.1e-03 5.1e-07 8.95e-01 1.664080612e+02 1.664080795e+02 4.6e-12 3.15
100 7.0e-09 1.9e-03 4.6e-07 1.01e+00 1.664080625e+02 1.664080789e+02 4.1e-12 3.18
101 6.3e-09 1.7e-03 4.1e-07 9.98e-01 1.664080636e+02 1.664080783e+02 3.7e-12 3.21
102 5.6e-09 1.6e-03 3.7e-07 1.03e+00 1.664080647e+02 1.664080778e+02 3.4e-12 3.24
103 5.2e-09 1.4e-03 3.3e-07 1.09e+00 1.664080659e+02 1.664080771e+02 3.2e-12 3.26
104 4.8e-09 1.3e-03 3.0e-07 1.17e+00 1.664080673e+02 1.664080764e+02 3.1e-12 3.29
105 4.2e-09 1.1e-03 2.7e-07 9.89e-01 1.664080679e+02 1.664080761e+02 2.8e-12 3.31
106 3.9e-09 1.0e-03 2.4e-07 8.34e-01 1.664080684e+02 1.664080759e+02 2.5e-12 3.34
107 3.5e-09 9.2e-04 2.2e-07 9.15e-01 1.664080689e+02 1.664080757e+02 2.3e-12 3.37
108 3.3e-09 8.2e-04 2.0e-07 1.01e+00 1.664080694e+02 1.664080754e+02 2.0e-12 3.39
109 2.9e-09 7.4e-04 1.8e-07 9.92e-01 1.664080698e+02 1.664080752e+02 1.8e-12 3.42
110 2.6e-09 6.7e-04 1.6e-07 1.04e+00 1.664080703e+02 1.664080750e+02 1.7e-12 3.44
111 2.3e-09 6.0e-04 1.4e-07 8.52e-01 1.664080706e+02 1.664080749e+02 1.5e-12 3.48
112 3.4e-09 6.7e-05 1.6e-08 8.39e-01 1.664080733e+02 1.664080738e+02 2.6e-13 3.51
Interior-point optimizer terminated. Time: 3.51.
Optimizer terminated. Time: 3.53
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807328e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6640807379e+02 Viol. con: 0e+00 var: 4e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 3.56 seconds.
Solving took 9 GP solves and 41.8 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: 1.4957405324839471e+110 vs 1.49570297195e+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: 3.705363660900758e+72 vs 3.70524438322e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682486]
Total Aircraft Weight Percent Diff: [-21.48056694]
Engine Weight Percent Diff: -56.27829979723011
Fuselage Weight Percent Diff: -0.8697456023474782
Payload Weight Percent Diff: [-0.04003561]
VT Weight Percent Diff: -8.60796360057144
HT Weight Percent Diff: -93.23333331023323
Wing Weight Percent Diff: 8.267570677977979
WING DIFFERENCES
Wing Span Percent Diff: -0.029992713312648356
Wing Area Percent Diff: 32.89954763031069
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.4883039967125
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022356385123674
VT Area Percent Diff: -60.386849839831065
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54711978]
L/D Percent Diff: [24.01024319]
Nacelle Cd Percent Diff: [-94.27641386]
HT Cd Percent Diff: [-80.7694342] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00287781] dimensionless
Wing Cd percent Diff: [-14.22905388]
Induced Drag Cd Percent Diff: [1.21951278]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035677]
FUSELAGE DIFFERENCES
Weight of HB material: -38.36142404192335
Weight of VB material: 87.81519737025805
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260513]