![[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-20190901141014)
Standard Output
Mission
=======
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission.Aircraft.Wing.WingBox.N_{lift} = 3
Mission.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission.Aircraft.VerticalTail.WingBox.N_{lift}*Mission.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission.Aircraft.Wing.WingBox.r_{w/c} = Mission.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission.Aircraft.Fuselage.N_{lift} = Mission.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 937
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 937
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 768
Optimizer - Cones : 0
Optimizer - Scalar variables : 3438 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285824792e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.5e+03 6.3e+04 -9.71e-01 -1.265132514e+05 3.611589420e+00 4.9e-01 0.06
2 4.1e+02 5.4e+02 2.3e+04 -9.38e-01 -1.199666169e+05 1.064041138e+01 1.8e-01 0.07
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.156309126e+05 6.812702963e+01 1.3e-01 0.08
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.131522901e+05 2.113211995e+03 1.3e-01 0.09
5 8.8e+01 1.2e+02 5.0e+03 -7.53e-01 -8.096538237e+04 8.430204037e+03 3.9e-02 0.10
6 3.7e+01 4.8e+01 2.1e+03 -2.92e-01 -4.806295568e+04 1.015705753e+04 1.6e-02 0.12
7 2.1e+01 2.8e+01 1.2e+03 2.53e-01 -3.183959973e+04 7.147574260e+03 9.5e-03 0.13
8 9.4e+00 1.2e+01 5.3e+02 5.37e-01 -1.516213576e+04 4.167067597e+03 4.2e-03 0.14
9 5.5e+00 7.2e+00 3.1e+02 8.14e-01 -8.873654488e+03 2.833843752e+03 2.5e-03 0.15
10 1.3e+00 1.8e+00 7.7e+01 9.07e-01 -2.032976954e+03 9.282385087e+02 6.1e-04 0.16
11 7.0e-01 9.2e-01 4.0e+01 9.94e-01 -8.350002142e+02 7.206024908e+02 3.2e-04 0.17
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.846306076e+02 5.632460213e+02 2.1e-04 0.18
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.148957258e+02 4.857769751e+02 1.6e-04 0.19
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.857417115e+01 3.656902710e+02 7.9e-05 0.20
15 5.5e-02 1.5e-01 3.3e+00 9.94e-01 1.620485362e+02 2.901550655e+02 2.6e-05 0.21
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.996394651e+02 2.746181590e+02 1.6e-05 0.22
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.444824012e+02 2.572405213e+02 2.8e-06 0.23
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509288752e+02 2.546905409e+02 8.3e-07 0.23
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527800443e+02 2.540213968e+02 2.8e-07 0.24
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532857302e+02 2.538354980e+02 1.2e-07 0.25
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533271035e+02 2.538219096e+02 1.1e-07 0.26
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533631909e+02 2.538084914e+02 1.0e-07 0.27
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533957124e+02 2.537964664e+02 9.0e-08 0.28
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534249555e+02 2.537856200e+02 8.1e-08 0.30
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534512557e+02 2.537758421e+02 7.3e-08 0.31
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534749084e+02 2.537670264e+02 6.6e-08 0.32
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534961824e+02 2.537590805e+02 5.9e-08 0.33
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535153179e+02 2.537519196e+02 5.3e-08 0.34
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535325308e+02 2.537454669e+02 4.8e-08 0.35
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535480148e+02 2.537396530e+02 4.3e-08 0.36
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535619442e+02 2.537344150e+02 3.9e-08 0.36
32 5.9e-05 2.9e-02 4.0e-03 1.00e+00 2.535744754e+02 2.537296963e+02 3.5e-08 0.37
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535857490e+02 2.537254456e+02 3.1e-08 0.39
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535958915e+02 2.537216167e+02 2.8e-08 0.40
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536050166e+02 2.537181679e+02 2.5e-08 0.41
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536132264e+02 2.537150615e+02 2.3e-08 0.42
37 3.5e-05 2.0e-02 2.4e-03 1.00e+00 2.536206130e+02 2.537122637e+02 2.1e-08 0.43
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536272589e+02 2.537097440e+02 1.9e-08 0.44
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536332386e+02 2.537074747e+02 1.7e-08 0.45
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536386189e+02 2.537054310e+02 1.5e-08 0.47
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536434601e+02 2.537035907e+02 1.4e-08 0.48
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536478161e+02 2.537019335e+02 1.2e-08 0.49
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536517357e+02 2.537004413e+02 1.1e-08 0.50
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536552627e+02 2.536990976e+02 9.8e-09 0.51
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536584365e+02 2.536978878e+02 8.9e-09 0.53
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536612924e+02 2.536967986e+02 8.0e-09 0.54
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536638623e+02 2.536958179e+02 7.2e-09 0.54
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536661750e+02 2.536949350e+02 6.5e-09 0.55
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536682562e+02 2.536941402e+02 5.8e-09 0.56
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536701290e+02 2.536934247e+02 5.2e-09 0.58
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536718144e+02 2.536927806e+02 4.7e-09 0.59
52 7.2e-06 1.0e-02 4.9e-04 1.00e+00 2.536733312e+02 2.536922007e+02 4.2e-09 0.60
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536746961e+02 2.536916788e+02 3.8e-09 0.61
54 5.9e-06 9.6e-03 3.9e-04 1.00e+00 2.536759245e+02 2.536912089e+02 3.4e-09 0.62
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770300e+02 2.536907860e+02 3.1e-09 0.63
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780248e+02 2.536904052e+02 2.8e-09 0.64
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789201e+02 2.536900625e+02 2.5e-09 0.65
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797258e+02 2.536897540e+02 2.3e-09 0.66
59 3.5e-06 8.7e-03 2.3e-04 1.00e+00 2.536804509e+02 2.536894763e+02 2.0e-09 0.67
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811034e+02 2.536892263e+02 1.8e-09 0.68
61 1.9e-06 5.1e-03 1.2e-04 1.00e+00 2.536834796e+02 2.536883154e+02 1.1e-09 0.69
62 1.7e-06 5.1e-03 1.1e-04 1.00e+00 2.536837953e+02 2.536881947e+02 9.9e-10 0.70
63 6.2e-07 1.9e-03 4.1e-05 1.00e+00 2.536858095e+02 2.536874221e+02 3.6e-10 0.72
64 6.0e-07 1.8e-03 4.1e-05 1.00e+00 2.536858321e+02 2.536874135e+02 3.6e-10 0.73
65 5.5e-07 1.7e-03 3.7e-05 1.00e+00 2.536859407e+02 2.536873719e+02 3.2e-10 0.74
66 5.0e-07 1.5e-03 3.3e-05 1.00e+00 2.536860341e+02 2.536873361e+02 2.9e-10 0.75
67 4.5e-07 1.4e-03 3.0e-05 1.00e+00 2.536861281e+02 2.536873000e+02 2.6e-10 0.76
68 4.1e-07 1.2e-03 2.7e-05 1.00e+00 2.536862086e+02 2.536872691e+02 2.4e-10 0.77
69 4.0e-07 1.2e-03 2.7e-05 1.00e+00 2.536862115e+02 2.536872680e+02 2.4e-10 0.79
70 3.8e-07 1.2e-03 2.5e-05 1.00e+00 2.536862621e+02 2.536872486e+02 2.2e-10 0.80
71 3.4e-07 1.0e-03 2.3e-05 1.00e+00 2.536863334e+02 2.536872212e+02 2.0e-10 0.81
72 3.1e-07 9.4e-04 2.1e-05 1.00e+00 2.536863913e+02 2.536871990e+02 1.8e-10 0.82
73 3.1e-07 9.4e-04 2.1e-05 1.00e+00 2.536863935e+02 2.536871981e+02 1.8e-10 0.83
74 2.8e-07 8.6e-04 1.9e-05 1.00e+00 2.536864459e+02 2.536871780e+02 1.6e-10 0.85
75 2.6e-07 7.9e-04 1.7e-05 1.00e+00 2.536864890e+02 2.536871614e+02 1.5e-10 0.86
76 2.6e-07 7.9e-04 1.7e-05 1.00e+00 2.536864908e+02 2.536871607e+02 1.5e-10 0.87
77 2.3e-07 7.1e-04 1.6e-05 1.00e+00 2.536865392e+02 2.536871421e+02 1.4e-10 0.88
78 2.3e-07 7.0e-04 1.5e-05 1.00e+00 2.536865409e+02 2.536871415e+02 1.3e-10 0.89
79 2.3e-07 7.0e-04 1.5e-05 1.00e+00 2.536865425e+02 2.536871409e+02 1.3e-10 0.91
80 2.1e-07 6.5e-04 1.4e-05 1.00e+00 2.536865777e+02 2.536871274e+02 1.2e-10 0.92
81 1.9e-07 5.8e-04 1.3e-05 1.00e+00 2.536866154e+02 2.536871129e+02 1.1e-10 0.93
82 1.7e-07 5.3e-04 1.2e-05 1.00e+00 2.536866514e+02 2.536870991e+02 1.0e-10 0.94
83 1.6e-07 4.9e-04 1.1e-05 1.00e+00 2.536866728e+02 2.536870908e+02 9.4e-11 0.95
84 1.4e-07 4.4e-04 9.7e-06 1.00e+00 2.536867030e+02 2.536870792e+02 8.5e-11 0.96
85 1.4e-07 4.4e-04 9.6e-06 1.00e+00 2.536867040e+02 2.536870788e+02 8.4e-11 0.97
86 1.3e-07 4.1e-04 8.9e-06 1.00e+00 2.536867261e+02 2.536870703e+02 7.7e-11 0.99
87 1.3e-07 4.0e-04 8.8e-06 1.00e+00 2.536867270e+02 2.536870700e+02 7.7e-11 1.00
88 1.3e-07 4.0e-04 8.8e-06 1.00e+00 2.536867279e+02 2.536870696e+02 7.7e-11 1.01
89 1.2e-07 3.7e-04 8.0e-06 1.00e+00 2.536867502e+02 2.536870611e+02 7.0e-11 1.02
90 1.2e-07 3.7e-04 8.0e-06 1.00e+00 2.536867511e+02 2.536870607e+02 7.0e-11 1.04
91 1.1e-07 3.3e-04 7.2e-06 1.00e+00 2.536867734e+02 2.536870521e+02 6.3e-11 1.05
92 9.7e-08 3.0e-04 6.5e-06 1.00e+00 2.536867916e+02 2.536870451e+02 5.7e-11 1.06
93 8.7e-08 2.7e-04 5.9e-06 1.00e+00 2.536868099e+02 2.536870381e+02 5.1e-11 1.08
94 8.7e-08 2.7e-04 5.8e-06 1.00e+00 2.536868105e+02 2.536870379e+02 5.1e-11 1.09
95 7.9e-08 2.5e-04 5.3e-06 1.00e+00 2.536868253e+02 2.536870322e+02 4.6e-11 1.11
96 7.9e-08 2.5e-04 5.3e-06 1.00e+00 2.536868259e+02 2.536870320e+02 4.6e-11 1.12
97 7.1e-08 2.2e-04 4.8e-06 1.00e+00 2.536868400e+02 2.536870265e+02 4.2e-11 1.13
98 6.5e-08 2.0e-04 4.3e-06 1.00e+00 2.536868528e+02 2.536870216e+02 3.8e-11 1.13
99 5.8e-08 1.8e-04 3.9e-06 1.00e+00 2.536868650e+02 2.536870169e+02 3.4e-11 1.15
100 5.2e-08 1.6e-04 3.5e-06 1.00e+00 2.536868760e+02 2.536870127e+02 3.1e-11 1.16
101 5.2e-08 1.6e-04 3.5e-06 1.00e+00 2.536868760e+02 2.536870127e+02 3.1e-11 1.17
102 4.7e-08 1.5e-04 3.2e-06 1.00e+00 2.536868859e+02 2.536870089e+02 2.8e-11 1.18
103 4.6e-08 1.4e-04 3.1e-06 1.00e+00 2.536868876e+02 2.536870082e+02 2.7e-11 1.19
104 4.2e-08 1.3e-04 2.8e-06 9.99e-01 2.536868954e+02 2.536870052e+02 2.5e-11 1.20
105 4.2e-08 1.3e-04 2.8e-06 9.99e-01 2.536868954e+02 2.536870052e+02 2.5e-11 1.21
106 3.8e-08 1.2e-04 2.5e-06 1.00e+00 2.536869034e+02 2.536870021e+02 2.2e-11 1.23
107 3.4e-08 1.1e-04 2.3e-06 1.00e+00 2.536869101e+02 2.536869995e+02 2.0e-11 1.24
108 3.1e-08 9.7e-05 2.1e-06 1.00e+00 2.536869160e+02 2.536869973e+02 1.8e-11 1.25
109 3.0e-08 9.3e-05 2.0e-06 1.00e+00 2.536869185e+02 2.536869963e+02 1.7e-11 1.27
110 2.7e-08 8.4e-05 1.8e-06 1.00e+00 2.536869242e+02 2.536869941e+02 1.6e-11 1.28
111 2.7e-08 8.4e-05 1.8e-06 1.00e+00 2.536869242e+02 2.536869941e+02 1.6e-11 1.30
112 2.4e-08 7.5e-05 1.6e-06 1.00e+00 2.536869292e+02 2.536869922e+02 1.4e-11 1.31
113 2.2e-08 6.8e-05 1.5e-06 1.00e+00 2.536869338e+02 2.536869904e+02 1.3e-11 1.32
114 2.0e-08 6.2e-05 1.3e-06 1.00e+00 2.536869371e+02 2.536869891e+02 1.2e-11 1.33
115 1.9e-08 5.9e-05 1.3e-06 1.00e+00 2.536869387e+02 2.536869885e+02 1.1e-11 1.35
116 1.9e-08 5.9e-05 1.3e-06 9.99e-01 2.536869387e+02 2.536869885e+02 1.1e-11 1.36
117 1.7e-08 5.3e-05 1.2e-06 1.00e+00 2.536869423e+02 2.536869871e+02 1.0e-11 1.37
118 1.7e-08 5.2e-05 1.1e-06 1.00e+00 2.536869430e+02 2.536869869e+02 9.9e-12 1.39
119 1.5e-08 4.7e-05 1.0e-06 1.00e+00 2.536869461e+02 2.536869856e+02 8.9e-12 1.40
120 1.4e-08 4.3e-05 9.2e-07 1.00e+00 2.536869487e+02 2.536869847e+02 8.1e-12 1.41
121 1.4e-08 4.3e-05 9.2e-07 1.00e+00 2.536869487e+02 2.536869847e+02 8.1e-12 1.43
122 1.2e-08 3.9e-05 8.4e-07 1.00e+00 2.536869512e+02 2.536869837e+02 7.3e-12 1.44
123 1.1e-08 3.5e-05 7.6e-07 1.00e+00 2.536869534e+02 2.536869828e+02 6.6e-12 1.45
124 1.1e-08 3.5e-05 7.6e-07 9.98e-01 2.536869534e+02 2.536869828e+02 6.6e-12 1.46
125 1.0e-08 3.2e-05 6.8e-07 1.00e+00 2.536869555e+02 2.536869820e+02 6.0e-12 1.47
126 9.2e-09 2.9e-05 6.2e-07 1.00e+00 2.536869573e+02 2.536869814e+02 5.4e-12 1.49
Interior-point optimizer terminated. Time: 1.49.
Optimizer terminated. Time: 1.50
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695725e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698135e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.51 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286636032e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.264180260e+05 3.781070854e+00 4.7e-01 0.06
2 4.6e+02 6.0e+02 2.6e+04 -9.35e-01 -1.210471961e+05 9.871250662e+00 2.0e-01 0.07
3 2.9e+02 3.8e+02 1.6e+04 -8.50e-01 -1.158624976e+05 5.253701872e+01 1.3e-01 0.08
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.137381539e+05 1.863811988e+03 1.3e-01 0.09
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.842864598e+04 9.038469640e+03 3.6e-02 0.10
6 3.6e+01 4.7e+01 2.0e+03 -2.53e-01 -4.698030162e+04 1.010176987e+04 1.6e-02 0.11
7 1.8e+01 2.4e+01 1.0e+03 2.76e-01 -2.813348822e+04 6.397683078e+03 8.2e-03 0.12
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.477869516e+04 4.004072509e+03 4.0e-03 0.12
9 5.7e+00 7.4e+00 3.2e+02 8.20e-01 -9.247830307e+03 2.776682101e+03 2.5e-03 0.13
10 1.9e+00 2.5e+00 1.1e+02 9.03e-01 -3.003060562e+03 1.154002826e+03 8.5e-04 0.14
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.419019388e+03 1.010907227e+03 7.0e-04 0.15
12 1.0e+00 1.4e+00 5.7e+01 9.77e-01 -1.494909965e+03 7.263450845e+02 4.5e-04 0.16
13 4.7e-01 7.0e-01 2.7e+01 9.83e-01 -6.134622038e+02 4.375216902e+02 2.1e-04 0.17
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.355955714e+02 3.290669060e+02 1.1e-04 0.18
15 1.0e-01 1.7e-01 5.9e+00 1.00e+00 7.317566412e+00 2.369834226e+02 4.7e-05 0.19
16 5.0e-02 1.0e-01 2.9e+00 1.00e+00 9.073382596e+01 2.038614972e+02 2.3e-05 0.20
17 1.0e-02 1.5e-01 6.3e-01 1.01e+00 1.546017185e+02 1.791070637e+02 5.2e-06 0.21
18 6.2e-03 1.0e-01 3.8e-01 1.01e+00 1.615121023e+02 1.764421346e+02 3.2e-06 0.22
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.694752253e+02 1.734658683e+02 8.7e-07 0.23
20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717779166e+02 1.726253080e+02 1.9e-07 0.24
21 1.4e-04 1.0e-01 9.3e-03 9.93e-01 1.721395934e+02 1.725021459e+02 8.2e-08 0.26
22 8.8e-05 8.3e-02 5.9e-03 1.00e+00 1.722353232e+02 1.724645590e+02 5.2e-08 0.27
23 7.9e-05 7.7e-02 5.3e-03 1.00e+00 1.722533720e+02 1.724597549e+02 4.7e-08 0.28
24 7.1e-05 7.0e-02 4.8e-03 1.00e+00 1.722685699e+02 1.724543190e+02 4.2e-08 0.29
25 6.4e-05 6.4e-02 4.3e-03 1.00e+00 1.722822910e+02 1.724494660e+02 3.8e-08 0.30
26 5.8e-05 5.8e-02 3.9e-03 1.00e+00 1.722946108e+02 1.724450679e+02 3.4e-08 0.31
27 5.2e-05 5.3e-02 3.5e-03 1.00e+00 1.723056858e+02 1.724410963e+02 3.1e-08 0.32
28 4.7e-05 4.9e-02 3.1e-03 1.00e+00 1.723156383e+02 1.724375066e+02 2.8e-08 0.33
29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723245820e+02 1.724342623e+02 2.5e-08 0.34
30 3.8e-05 4.1e-02 2.5e-03 1.00e+00 1.723326191e+02 1.724313303e+02 2.2e-08 0.35
31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723398418e+02 1.724286809e+02 2.0e-08 0.36
32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723463333e+02 1.724262876e+02 1.8e-08 0.37
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723521681e+02 1.724241262e+02 1.6e-08 0.38
34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723574132e+02 1.724221750e+02 1.5e-08 0.39
35 2.2e-05 2.8e-02 1.5e-03 1.00e+00 1.723621289e+02 1.724204140e+02 1.3e-08 0.40
36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723663689e+02 1.724188251e+02 1.2e-08 0.41
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723701815e+02 1.724173918e+02 1.1e-08 0.43
38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723736100e+02 1.724160991e+02 9.6e-09 0.44
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723766934e+02 1.724149334e+02 8.6e-09 0.45
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723794665e+02 1.724138824e+02 7.8e-09 0.46
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723819607e+02 1.724129349e+02 7.0e-09 0.47
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723842041e+02 1.724120809e+02 6.3e-09 0.49
43 9.6e-06 1.6e-02 6.5e-04 1.00e+00 1.723862220e+02 1.724113111e+02 5.7e-09 0.50
44 8.7e-06 1.5e-02 5.8e-04 1.00e+00 1.723880372e+02 1.724106174e+02 5.1e-09 0.51
45 7.8e-06 1.5e-02 5.2e-04 1.00e+00 1.723896700e+02 1.724099922e+02 4.6e-09 0.53
46 7.0e-06 1.4e-02 4.7e-04 1.00e+00 1.723911390e+02 1.724094289e+02 4.1e-09 0.54
47 6.3e-06 1.3e-02 4.3e-04 1.00e+00 1.723924604e+02 1.724089215e+02 3.7e-09 0.55
48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723936493e+02 1.724084643e+02 3.3e-09 0.56
49 5.1e-06 1.2e-02 3.4e-04 1.00e+00 1.723947188e+02 1.724080524e+02 3.0e-09 0.58
50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723956811e+02 1.724076814e+02 2.7e-09 0.59
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965469e+02 1.724073472e+02 2.4e-09 0.60
52 3.7e-06 1.1e-02 2.5e-04 1.00e+00 1.723973259e+02 1.724070462e+02 2.2e-09 0.62
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980268e+02 1.724067751e+02 2.0e-09 0.63
54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986574e+02 1.724065309e+02 1.8e-09 0.64
55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992249e+02 1.724063110e+02 1.6e-09 0.66
56 2.5e-06 9.7e-03 1.6e-04 1.00e+00 1.723997355e+02 1.724061130e+02 1.4e-09 0.67
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001949e+02 1.724059347e+02 1.3e-09 0.68
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724006083e+02 1.724057742e+02 1.2e-09 0.69
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009803e+02 1.724056296e+02 1.1e-09 0.71
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013150e+02 1.724054995e+02 9.5e-10 0.72
61 1.4e-06 8.8e-03 9.7e-05 1.00e+00 1.724016162e+02 1.724053822e+02 8.5e-10 0.73
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018873e+02 1.724052767e+02 7.7e-10 0.74
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021312e+02 1.724051816e+02 6.9e-10 0.75
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023507e+02 1.724050961e+02 6.2e-10 0.76
65 9.5e-07 8.4e-03 6.4e-05 1.00e+00 1.724025482e+02 1.724050191e+02 5.6e-10 0.77
66 8.5e-07 8.3e-03 5.7e-05 1.00e+00 1.724027259e+02 1.724049497e+02 5.0e-10 0.79
67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028858e+02 1.724048872e+02 4.5e-10 0.80
68 6.9e-07 8.1e-03 4.7e-05 1.00e+00 1.724030297e+02 1.724048310e+02 4.1e-10 0.81
69 6.2e-07 8.0e-03 4.2e-05 1.00e+00 1.724031592e+02 1.724047804e+02 3.7e-10 0.82
70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032758e+02 1.724047349e+02 3.3e-10 0.83
71 5.0e-07 7.9e-03 3.4e-05 1.00e+00 1.724033806e+02 1.724046938e+02 3.0e-10 0.84
72 4.5e-07 7.9e-03 3.1e-05 1.00e+00 1.724034750e+02 1.724046569e+02 2.7e-10 0.85
73 4.1e-07 7.8e-03 2.7e-05 1.00e+00 1.724035599e+02 1.724046237e+02 2.4e-10 0.87
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036364e+02 1.724045937e+02 2.2e-10 0.88
75 3.3e-07 7.7e-03 2.2e-05 1.00e+00 1.724037051e+02 1.724045667e+02 1.9e-10 0.89
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037670e+02 1.724045424e+02 1.8e-10 0.90
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038227e+02 1.724045206e+02 1.6e-10 0.91
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038728e+02 1.724045009e+02 1.4e-10 0.92
79 2.2e-07 7.6e-03 1.5e-05 9.99e-01 1.724039179e+02 1.724044832e+02 1.3e-10 0.94
80 2.0e-07 7.6e-03 1.3e-05 9.99e-01 1.724039585e+02 1.724044673e+02 1.2e-10 0.95
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039950e+02 1.724044529e+02 1.0e-10 0.96
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040279e+02 1.724044400e+02 9.3e-11 0.97
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040575e+02 1.724044284e+02 8.4e-11 0.98
84 1.3e-07 7.5e-03 8.6e-06 1.00e+00 1.724040841e+02 1.724044179e+02 7.5e-11 0.99
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041080e+02 1.724044085e+02 6.8e-11 1.01
86 1.0e-07 7.4e-03 7.0e-06 1.00e+00 1.724041296e+02 1.724043999e+02 6.1e-11 1.02
87 9.4e-08 7.4e-03 6.3e-06 9.94e-01 1.724041490e+02 1.724043924e+02 5.5e-11 1.03
88 8.4e-08 7.4e-03 5.7e-06 1.00e+00 1.724041664e+02 1.724043855e+02 5.0e-11 1.05
89 7.6e-08 7.4e-03 5.1e-06 9.97e-01 1.724041821e+02 1.724043793e+02 4.5e-11 1.06
90 6.8e-08 7.4e-03 4.6e-06 1.00e+00 1.724041963e+02 1.724043737e+02 4.0e-11 1.07
91 6.1e-08 7.3e-03 4.1e-06 9.97e-01 1.724042090e+02 1.724043687e+02 3.6e-11 1.08
92 5.5e-08 7.3e-03 3.7e-06 9.99e-01 1.724042204e+02 1.724043642e+02 3.2e-11 1.10
93 5.0e-08 7.3e-03 3.3e-06 1.00e+00 1.724042307e+02 1.724043601e+02 2.9e-11 1.11
94 4.5e-08 6.6e-03 3.0e-06 1.01e+00 1.724042402e+02 1.724043563e+02 2.6e-11 1.12
95 4.0e-08 5.9e-03 2.7e-06 9.99e-01 1.724042485e+02 1.724043531e+02 2.4e-11 1.14
96 3.6e-08 5.3e-03 2.4e-06 9.97e-01 1.724042560e+02 1.724043501e+02 2.1e-11 1.15
97 3.3e-08 4.8e-03 2.2e-06 1.00e+00 1.724042627e+02 1.724043474e+02 1.9e-11 1.16
98 2.9e-08 4.3e-03 2.0e-06 1.01e+00 1.724042690e+02 1.724043449e+02 1.7e-11 1.17
99 2.6e-08 3.9e-03 1.8e-06 1.01e+00 1.724042746e+02 1.724043427e+02 1.6e-11 1.18
100 2.4e-08 3.5e-03 1.6e-06 9.93e-01 1.724042795e+02 1.724043408e+02 1.4e-11 1.20
101 2.1e-08 3.1e-03 1.4e-06 9.96e-01 1.724042839e+02 1.724043391e+02 1.3e-11 1.21
102 1.9e-08 2.8e-03 1.3e-06 9.99e-01 1.724042878e+02 1.724043375e+02 1.1e-11 1.22
103 1.7e-08 2.6e-03 1.2e-06 9.87e-01 1.724042914e+02 1.724043361e+02 1.0e-11 1.23
104 1.6e-08 2.3e-03 1.0e-06 9.96e-01 1.724042946e+02 1.724043349e+02 9.3e-12 1.25
105 4.1e-09 5.8e-04 2.6e-07 1.00e+00 1.724043161e+02 1.724043262e+02 2.3e-12 1.26
106 3.7e-09 5.2e-04 2.4e-07 8.92e-01 1.724043169e+02 1.724043260e+02 2.1e-12 1.27
107 8.3e-10 1.2e-04 5.3e-08 1.00e+00 1.724043219e+02 1.724043239e+02 4.6e-13 1.29
Interior-point optimizer terminated. Time: 1.29.
Optimizer terminated. Time: 1.30
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432192e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432394e+02 Viol. con: 0e+00 var: 8e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.31 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 : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.289209210e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.267404333e+05 3.637046171e+00 4.8e-01 0.05
2 4.4e+02 5.7e+02 2.4e+04 -9.36e-01 -1.207993233e+05 1.004621890e+01 1.9e-01 0.06
3 2.9e+02 3.8e+02 1.6e+04 -8.43e-01 -1.160618641e+05 5.990664164e+01 1.3e-01 0.07
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.136045197e+05 2.136096490e+03 1.3e-01 0.09
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.752620595e+04 9.316593334e+03 3.5e-02 0.10
6 4.0e+01 5.2e+01 2.2e+03 -2.34e-01 -5.076744870e+04 1.003180492e+04 1.8e-02 0.11
7 3.0e+01 3.9e+01 1.7e+03 2.19e-01 -4.171034403e+04 8.294887411e+03 1.3e-02 0.12
8 1.9e+01 2.4e+01 1.0e+03 3.81e-01 -2.865129324e+04 5.387051958e+03 8.1e-03 0.13
9 7.9e+00 1.0e+01 4.4e+02 6.03e-01 -1.310589761e+04 3.143036913e+03 3.5e-03 0.14
10 4.0e+00 5.2e+00 2.2e+02 8.46e-01 -6.378090249e+03 2.128678024e+03 1.8e-03 0.15
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.514519940e+03 1.314866047e+03 9.9e-04 0.16
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.333941055e+03 6.456439377e+02 4.0e-04 0.17
13 8.2e-01 1.1e+00 4.6e+01 9.70e-01 -1.223648067e+03 5.999353820e+02 3.7e-04 0.19
14 5.9e-01 7.8e-01 3.3e+01 9.74e-01 -8.149779354e+02 4.893546201e+02 2.6e-04 0.20
15 2.2e-01 7.6e-01 1.2e+01 9.90e-01 -1.999814486e+02 2.844539154e+02 9.8e-05 0.21
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.241299616e+01 2.161158635e+02 4.9e-05 0.22
17 7.7e-02 2.8e-01 4.5e+00 1.01e+00 2.680973995e+01 2.015607419e+02 3.6e-05 0.23
18 5.1e-02 2.0e-01 3.0e+00 1.02e+00 7.891972795e+01 1.950359926e+02 2.4e-05 0.24
19 1.4e-02 1.1e-01 8.5e-01 1.00e+00 1.414690353e+02 1.745817244e+02 6.9e-06 0.25
20 4.0e-03 2.2e-01 2.4e-01 1.02e+00 1.602703227e+02 1.696481821e+02 1.9e-06 0.26
21 2.7e-03 2.1e-01 1.6e-01 1.01e+00 1.624282268e+02 1.687370236e+02 1.3e-06 0.28
22 1.9e-03 1.5e-01 1.2e-01 1.00e+00 1.637169301e+02 1.683012436e+02 9.5e-07 0.29
23 7.5e-04 9.5e-02 4.7e-02 1.01e+00 1.658029833e+02 1.676006426e+02 3.8e-07 0.30
24 3.6e-04 7.9e-02 2.3e-02 1.01e+00 1.664693899e+02 1.673480881e+02 1.9e-07 0.31
25 3.3e-04 7.2e-02 2.1e-02 1.01e+00 1.665375129e+02 1.673287351e+02 1.7e-07 0.33
26 3.0e-04 6.6e-02 1.9e-02 1.01e+00 1.665946104e+02 1.673064511e+02 1.5e-07 0.33
27 2.7e-04 6.0e-02 1.7e-02 1.01e+00 1.666462020e+02 1.672866518e+02 1.4e-07 0.34
28 2.4e-04 5.5e-02 1.5e-02 1.01e+00 1.666923991e+02 1.672686335e+02 1.2e-07 0.35
29 2.2e-04 5.0e-02 1.4e-02 1.01e+00 1.667338506e+02 1.672523222e+02 1.1e-07 0.36
30 1.9e-04 4.6e-02 1.2e-02 1.01e+00 1.667710162e+02 1.672375265e+02 9.9e-08 0.37
31 1.7e-04 4.2e-02 1.1e-02 1.01e+00 1.668043403e+02 1.672241063e+02 8.9e-08 0.39
32 1.6e-04 3.8e-02 9.9e-03 1.01e+00 1.668342183e+02 1.672119316e+02 8.0e-08 0.40
33 1.4e-04 3.5e-02 8.9e-03 1.01e+00 1.668610065e+02 1.672008867e+02 7.2e-08 0.41
34 1.3e-04 3.3e-02 8.0e-03 1.01e+00 1.668850257e+02 1.671908678e+02 6.5e-08 0.42
35 1.1e-04 3.0e-02 7.2e-03 1.00e+00 1.669065642e+02 1.671817817e+02 5.8e-08 0.43
36 1.0e-04 2.8e-02 6.5e-03 1.00e+00 1.669258811e+02 1.671735443e+02 5.3e-08 0.44
37 9.3e-05 2.6e-02 5.8e-03 1.00e+00 1.669432087e+02 1.671660793e+02 4.7e-08 0.45
38 8.3e-05 2.4e-02 5.3e-03 1.00e+00 1.669587544e+02 1.671593172e+02 4.3e-08 0.46
39 7.5e-05 2.2e-02 4.7e-03 1.00e+00 1.669727040e+02 1.671531939e+02 3.8e-08 0.47
40 6.8e-05 2.1e-02 4.3e-03 1.00e+00 1.669852233e+02 1.671476511e+02 3.5e-08 0.48
41 6.1e-05 2.0e-02 3.8e-03 1.00e+00 1.669964606e+02 1.671426353e+02 3.1e-08 0.49
42 5.5e-05 1.8e-02 3.4e-03 1.00e+00 1.670065485e+02 1.671380977e+02 2.8e-08 0.50
43 4.9e-05 1.7e-02 3.1e-03 1.00e+00 1.670156059e+02 1.671339939e+02 2.5e-08 0.51
44 4.4e-05 1.6e-02 2.8e-03 1.00e+00 1.670237390e+02 1.671302833e+02 2.3e-08 0.53
45 4.0e-05 1.6e-02 2.5e-03 1.00e+00 1.670310430e+02 1.671269292e+02 2.0e-08 0.54
46 3.6e-05 1.5e-02 2.3e-03 1.00e+00 1.670376030e+02 1.671238979e+02 1.8e-08 0.55
47 3.2e-05 1.4e-02 2.0e-03 1.00e+00 1.670434957e+02 1.671211590e+02 1.7e-08 0.56
48 2.9e-05 1.4e-02 1.8e-03 1.00e+00 1.670487893e+02 1.671186848e+02 1.5e-08 0.58
49 2.6e-05 1.3e-02 1.7e-03 1.00e+00 1.670535454e+02 1.671164502e+02 1.3e-08 0.59
50 2.4e-05 1.3e-02 1.5e-03 1.00e+00 1.670578188e+02 1.671144323e+02 1.2e-08 0.60
51 2.1e-05 1.2e-02 1.3e-03 1.00e+00 1.670616589e+02 1.671126106e+02 1.1e-08 0.61
52 1.9e-05 1.2e-02 1.2e-03 1.00e+00 1.670651099e+02 1.671109662e+02 9.8e-09 0.62
53 1.7e-05 1.1e-02 1.1e-03 1.00e+00 1.670682116e+02 1.671094821e+02 8.8e-09 0.63
54 1.5e-05 1.1e-02 9.7e-04 1.00e+00 1.670709995e+02 1.671081428e+02 7.9e-09 0.64
55 1.4e-05 1.1e-02 8.8e-04 1.00e+00 1.670735056e+02 1.671069345e+02 7.1e-09 0.65
56 1.3e-05 1.0e-02 7.9e-04 1.00e+00 1.670757585e+02 1.671058445e+02 6.4e-09 0.67
57 1.1e-05 1.0e-02 7.1e-04 1.00e+00 1.670777839e+02 1.671048614e+02 5.8e-09 0.68
58 1.0e-05 1.0e-02 6.4e-04 1.00e+00 1.670796050e+02 1.671039747e+02 5.2e-09 0.69
59 9.1e-06 9.8e-03 5.8e-04 1.00e+00 1.670812424e+02 1.671031753e+02 4.7e-09 0.70
60 8.2e-06 9.6e-03 5.2e-04 1.00e+00 1.670827148e+02 1.671024546e+02 4.2e-09 0.71
61 7.4e-06 9.5e-03 4.7e-04 1.00e+00 1.670840390e+02 1.671018049e+02 3.8e-09 0.72
62 6.6e-06 9.3e-03 4.2e-04 1.00e+00 1.670852299e+02 1.671012192e+02 3.4e-09 0.73
63 6.0e-06 9.2e-03 3.8e-04 1.00e+00 1.670863010e+02 1.671006913e+02 3.1e-09 0.75
64 5.4e-06 9.1e-03 3.4e-04 1.00e+00 1.670872643e+02 1.671002158e+02 2.8e-09 0.76
65 2.0e-06 3.4e-03 1.3e-04 1.00e+00 1.670926112e+02 1.670975460e+02 1.1e-09 0.77
66 6.9e-07 1.2e-03 4.4e-05 1.00e+00 1.670947875e+02 1.670964579e+02 3.6e-10 0.78
67 6.2e-07 1.0e-03 3.9e-05 1.00e+00 1.670949019e+02 1.670964051e+02 3.2e-10 0.79
68 5.6e-07 9.4e-04 3.6e-05 1.00e+00 1.670950014e+02 1.670963543e+02 2.9e-10 0.80
69 5.0e-07 8.5e-04 3.2e-05 1.00e+00 1.670950912e+02 1.670963087e+02 2.6e-10 0.81
70 4.5e-07 7.6e-04 2.9e-05 1.00e+00 1.670951719e+02 1.670962677e+02 2.3e-10 0.82
71 4.1e-07 6.9e-04 2.6e-05 1.00e+00 1.670952445e+02 1.670962307e+02 2.1e-10 0.84
72 3.7e-07 6.2e-04 2.3e-05 1.00e+00 1.670953098e+02 1.670961974e+02 1.9e-10 0.84
73 3.3e-07 5.6e-04 2.1e-05 1.00e+00 1.670953685e+02 1.670961674e+02 1.7e-10 0.85
74 3.0e-07 5.0e-04 1.9e-05 1.00e+00 1.670954214e+02 1.670961403e+02 1.5e-10 0.86
75 2.7e-07 4.5e-04 1.7e-05 9.98e-01 1.670954689e+02 1.670961160e+02 1.4e-10 0.87
76 2.4e-07 4.1e-04 1.5e-05 9.98e-01 1.670955117e+02 1.670960941e+02 1.2e-10 0.88
77 2.2e-07 3.7e-04 1.4e-05 9.98e-01 1.670955502e+02 1.670960744e+02 1.1e-10 0.89
78 2.0e-07 3.3e-04 1.2e-05 1.00e+00 1.670955848e+02 1.670960566e+02 1.0e-10 0.90
79 1.8e-07 3.0e-04 1.1e-05 9.97e-01 1.670956159e+02 1.670960407e+02 9.1e-11 0.91
80 1.6e-07 2.7e-04 1.0e-05 9.97e-01 1.670956440e+02 1.670960263e+02 8.2e-11 0.93
81 1.4e-07 2.4e-04 9.0e-06 9.96e-01 1.670956692e+02 1.670960133e+02 7.3e-11 0.94
82 1.3e-07 2.2e-04 8.1e-06 1.00e+00 1.670956921e+02 1.670960015e+02 6.6e-11 0.95
83 1.2e-07 1.9e-04 7.3e-06 1.00e+00 1.670957125e+02 1.670959910e+02 6.0e-11 0.96
84 1.0e-07 1.7e-04 6.6e-06 1.00e+00 1.670957310e+02 1.670959814e+02 5.4e-11 0.97
85 9.3e-08 1.6e-04 5.9e-06 9.99e-01 1.670957476e+02 1.670959729e+02 4.8e-11 0.98
86 8.4e-08 1.4e-04 5.3e-06 1.00e+00 1.670957624e+02 1.670959652e+02 4.3e-11 1.00
87 7.6e-08 1.3e-04 4.8e-06 1.01e+00 1.670957764e+02 1.670959579e+02 3.9e-11 1.01
88 6.8e-08 1.1e-04 4.3e-06 9.90e-01 1.670957883e+02 1.670959518e+02 3.5e-11 1.02
89 6.1e-08 1.0e-04 3.9e-06 9.96e-01 1.670957991e+02 1.670959463e+02 3.2e-11 1.04
90 5.5e-08 9.3e-05 3.5e-06 1.00e+00 1.670958088e+02 1.670959413e+02 2.9e-11 1.05
91 5.0e-08 8.4e-05 3.1e-06 1.00e+00 1.670958177e+02 1.670959367e+02 2.6e-11 1.06
92 4.5e-08 7.5e-05 2.8e-06 9.96e-01 1.670958255e+02 1.670959327e+02 2.3e-11 1.07
93 4.0e-08 6.8e-05 2.6e-06 9.87e-01 1.670958326e+02 1.670959291e+02 2.1e-11 1.08
94 3.6e-08 6.1e-05 2.3e-06 1.01e+00 1.670958391e+02 1.670959257e+02 1.9e-11 1.10
95 3.3e-08 5.5e-05 2.1e-06 1.01e+00 1.670958451e+02 1.670959225e+02 1.7e-11 1.11
96 2.9e-08 4.9e-05 1.9e-06 9.93e-01 1.670958502e+02 1.670959199e+02 1.5e-11 1.12
97 2.6e-08 4.4e-05 1.7e-06 1.02e+00 1.670958551e+02 1.670959173e+02 1.4e-11 1.14
98 2.4e-08 4.0e-05 1.5e-06 1.02e+00 1.670958595e+02 1.670959150e+02 1.3e-11 1.16
99 2.1e-08 3.6e-05 1.4e-06 1.02e+00 1.670958635e+02 1.670959130e+02 1.1e-11 1.17
100 1.9e-08 3.2e-05 1.2e-06 1.04e+00 1.670958673e+02 1.670959110e+02 1.0e-11 1.18
101 1.7e-08 2.9e-05 1.1e-06 9.88e-01 1.670958702e+02 1.670959095e+02 9.4e-12 1.19
Interior-point optimizer terminated. Time: 1.20.
Optimizer terminated. Time: 1.21
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587016e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6709590950e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.22 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286499286e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264834065e+05 3.586694623e+00 4.8e-01 0.06
2 4.3e+02 5.6e+02 2.4e+04 -9.36e-01 -1.204819679e+05 1.001243506e+01 1.9e-01 0.07
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.157492438e+05 6.085446293e+01 1.3e-01 0.08
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131500402e+05 2.257721303e+03 1.3e-01 0.09
5 7.4e+01 9.6e+01 4.1e+03 -7.55e-01 -7.449116240e+04 9.842495564e+03 3.3e-02 0.10
6 3.6e+01 4.7e+01 2.0e+03 -1.90e-01 -4.726391792e+04 1.026287821e+04 1.6e-02 0.11
7 2.2e+01 2.9e+01 1.3e+03 2.77e-01 -3.297855314e+04 7.148687091e+03 9.9e-03 0.12
8 1.4e+01 1.7e+01 7.5e+02 5.32e-01 -2.145983863e+04 4.808289668e+03 6.0e-03 0.13
9 5.3e+00 6.9e+00 3.0e+02 7.21e-01 -8.768571501e+03 2.417415427e+03 2.4e-03 0.14
10 2.4e+00 3.1e+00 1.3e+02 9.13e-01 -3.743466598e+03 1.405494925e+03 1.1e-03 0.15
11 1.7e+00 2.3e+00 9.8e+01 9.75e-01 -2.706992173e+03 1.075353705e+03 7.8e-04 0.16
12 8.2e-01 1.1e+00 4.6e+01 9.83e-01 -1.189723213e+03 5.993014999e+02 3.7e-04 0.17
13 7.5e-01 1.1e+00 4.2e+01 9.48e-01 -1.109359059e+03 5.596579126e+02 3.4e-04 0.17
14 6.3e-01 8.8e-01 3.5e+01 9.86e-01 -8.798992128e+02 5.072263125e+02 2.8e-04 0.18
15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.584779626e+02 2.542011425e+02 8.4e-05 0.19
16 1.0e-01 1.7e-01 5.9e+00 1.01e+00 -1.976748641e+01 2.098854804e+02 4.7e-05 0.20
17 1.0e-01 1.7e-01 5.8e+00 1.02e+00 -1.809045824e+01 2.102292541e+02 4.7e-05 0.21
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.591093228e+01 2.106372728e+02 4.0e-05 0.23
19 4.3e-02 9.6e-02 2.5e+00 1.01e+00 9.060711512e+01 1.877230914e+02 2.0e-05 0.24
20 1.2e-02 1.9e-01 6.8e-01 1.01e+00 1.471513717e+02 1.733932234e+02 5.5e-06 0.25
21 4.3e-03 3.6e-01 2.6e-01 1.01e+00 1.590078612e+02 1.689676520e+02 2.1e-06 0.26
22 1.2e-03 1.7e-01 7.5e-02 1.01e+00 1.645641997e+02 1.674300711e+02 6.1e-07 0.27
23 6.7e-04 1.2e-01 4.2e-02 9.81e-01 1.654790118e+02 1.670869343e+02 3.5e-07 0.28
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662934583e+02 1.667798130e+02 1.1e-07 0.29
25 6.2e-05 1.1e-01 4.1e-03 1.01e+00 1.665282043e+02 1.666838384e+02 3.5e-08 0.31
26 2.0e-05 1.1e-01 1.4e-03 1.01e+00 1.666013895e+02 1.666531046e+02 1.2e-08 0.32
27 6.5e-06 1.1e-01 4.4e-04 1.00e+00 1.666262051e+02 1.666427236e+02 3.7e-09 0.33
28 2.2e-06 1.0e-01 1.5e-04 1.00e+00 1.666337626e+02 1.666395164e+02 1.3e-09 0.34
29 7.7e-07 9.7e-02 5.3e-05 1.00e+00 1.666363779e+02 1.666383682e+02 4.5e-10 0.35
30 3.4e-07 8.2e-02 2.3e-05 1.00e+00 1.666371514e+02 1.666380156e+02 2.0e-10 0.36
31 7.3e-08 1.8e-02 5.0e-06 1.00e+00 1.666376159e+02 1.666378041e+02 4.3e-11 0.37
32 6.6e-08 1.6e-02 4.5e-06 1.00e+00 1.666376300e+02 1.666377994e+02 3.9e-11 0.38
33 5.9e-08 1.6e-02 4.1e-06 1.01e+00 1.666376419e+02 1.666377938e+02 3.5e-11 0.38
34 5.3e-08 1.5e-02 3.7e-06 1.02e+00 1.666376531e+02 1.666377885e+02 3.2e-11 0.39
35 4.8e-08 1.4e-02 3.3e-06 9.86e-01 1.666376623e+02 1.666377842e+02 2.9e-11 0.40
36 4.3e-08 1.3e-02 3.0e-06 9.89e-01 1.666376706e+02 1.666377804e+02 2.6e-11 0.41
37 3.9e-08 1.3e-02 2.7e-06 9.89e-01 1.666376781e+02 1.666377769e+02 2.3e-11 0.42
38 3.5e-08 1.2e-02 2.4e-06 1.01e+00 1.666376849e+02 1.666377737e+02 2.1e-11 0.43
39 3.1e-08 1.2e-02 2.2e-06 1.01e+00 1.666376911e+02 1.666377708e+02 1.9e-11 0.44
40 2.8e-08 1.2e-02 1.9e-06 1.01e+00 1.666376967e+02 1.666377682e+02 1.7e-11 0.46
41 2.5e-08 1.1e-02 1.7e-06 9.71e-01 1.666377015e+02 1.666377659e+02 1.5e-11 0.47
42 2.3e-08 1.1e-02 1.6e-06 1.00e+00 1.666377059e+02 1.666377639e+02 1.4e-11 0.48
43 2.1e-08 1.1e-02 1.4e-06 1.02e+00 1.666377102e+02 1.666377618e+02 1.3e-11 0.49
44 1.9e-08 1.0e-02 1.3e-06 9.73e-01 1.666377137e+02 1.666377602e+02 1.1e-11 0.51
45 1.7e-08 1.0e-02 1.1e-06 9.97e-01 1.666377169e+02 1.666377587e+02 1.0e-11 0.52
46 1.5e-08 9.8e-03 1.0e-06 1.01e+00 1.666377198e+02 1.666377574e+02 9.2e-12 0.53
47 1.4e-08 8.9e-03 9.3e-07 1.06e+00 1.666377230e+02 1.666377558e+02 8.5e-12 0.55
48 1.2e-08 8.7e-03 8.4e-07 9.86e-01 1.666377252e+02 1.666377548e+02 7.6e-12 0.56
49 1.1e-08 7.8e-03 7.5e-07 1.01e+00 1.666377273e+02 1.666377538e+02 6.9e-12 0.57
50 9.9e-09 7.7e-03 6.8e-07 9.60e-01 1.666377291e+02 1.666377530e+02 6.2e-12 0.58
51 8.9e-09 6.9e-03 6.1e-07 1.08e+00 1.666377313e+02 1.666377518e+02 5.8e-12 0.60
52 8.0e-09 6.2e-03 5.5e-07 1.02e+00 1.666377328e+02 1.666377511e+02 5.3e-12 0.61
53 7.2e-09 5.6e-03 4.9e-07 9.90e-01 1.666377341e+02 1.666377506e+02 4.7e-12 0.62
54 6.5e-09 5.0e-03 4.4e-07 1.04e+00 1.666377354e+02 1.666377499e+02 4.3e-12 0.63
55 3.2e-09 2.9e-04 2.6e-08 9.11e-01 1.666377450e+02 1.666377459e+02 4.2e-13 0.64
Interior-point optimizer terminated. Time: 0.64.
Optimizer terminated. Time: 0.65
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774500e+02 Viol. con: 6e-08 var: 0e+00
Dual. obj: 1.6663774588e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 0.668 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.01
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286106753e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264422995e+05 3.580364698e+00 4.8e-01 0.05
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.203332233e+05 1.010636905e+01 1.9e-01 0.06
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.156664719e+05 6.247809304e+01 1.3e-01 0.07
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.130152814e+05 2.295884623e+03 1.3e-01 0.08
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.379606310e+04 9.860977705e+03 3.2e-02 0.09
6 3.6e+01 4.6e+01 2.0e+03 -1.80e-01 -4.641914886e+04 1.009611410e+04 1.6e-02 0.10
7 2.1e+01 2.7e+01 1.2e+03 2.91e-01 -3.097466389e+04 6.886208564e+03 9.2e-03 0.11
8 1.2e+01 1.6e+01 6.8e+02 5.65e-01 -1.945486132e+04 4.491371729e+03 5.4e-03 0.12
9 4.7e+00 6.1e+00 2.6e+02 7.53e-01 -7.765149834e+03 2.180676369e+03 2.1e-03 0.13
10 2.3e+00 3.0e+00 1.3e+02 9.26e-01 -3.530371848e+03 1.395529395e+03 1.0e-03 0.14
11 1.5e+00 1.9e+00 8.5e+01 9.77e-01 -2.301316904e+03 9.721198251e+02 6.7e-04 0.16
12 8.5e-01 1.1e+00 4.8e+01 9.85e-01 -1.230530107e+03 6.224921523e+02 3.8e-04 0.17
13 7.5e-01 1.0e+00 4.2e+01 9.54e-01 -1.093830750e+03 5.630528271e+02 3.4e-04 0.17
14 3.7e-01 5.0e-01 2.1e+01 9.85e-01 -4.359004812e+02 3.737949393e+02 1.6e-04 0.18
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.439999914e+02 2.585349426e+02 8.2e-05 0.20
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 4.980079530e+00 2.043015185e+02 4.1e-05 0.21
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.398835382e+01 2.065699272e+02 4.0e-05 0.22
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 5.949230477e+01 1.948373453e+02 2.8e-05 0.23
19 3.0e-02 7.3e-02 1.7e+00 1.01e+00 1.152798151e+02 1.809927735e+02 1.4e-05 0.24
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.525612457e+02 1.716191971e+02 4.0e-06 0.25
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622330950e+02 1.679611394e+02 1.2e-06 0.27
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639702665e+02 1.674409710e+02 7.3e-07 0.28
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656550166e+02 1.668671105e+02 2.6e-07 0.29
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661959813e+02 1.666660324e+02 1.0e-07 0.30
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662326099e+02 1.666555343e+02 9.2e-08 0.31
26 1.6e-04 7.9e-02 1.0e-02 1.01e+00 1.662628646e+02 1.666433545e+02 8.3e-08 0.32
27 1.4e-04 7.2e-02 9.0e-03 1.01e+00 1.662902752e+02 1.666326034e+02 7.5e-08 0.33
28 1.3e-04 6.6e-02 8.1e-03 1.01e+00 1.663148189e+02 1.666228207e+02 6.7e-08 0.34
29 1.2e-04 6.0e-02 7.3e-03 1.01e+00 1.663368453e+02 1.666139697e+02 6.0e-08 0.35
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663566068e+02 1.666059554e+02 5.4e-08 0.36
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663743382e+02 1.665987000e+02 4.9e-08 0.37
32 8.5e-05 4.6e-02 5.3e-03 1.01e+00 1.663902488e+02 1.665921321e+02 4.4e-08 0.38
33 7.6e-05 4.2e-02 4.8e-03 1.01e+00 1.664045267e+02 1.665861872e+02 4.0e-08 0.39
34 6.9e-05 3.8e-02 4.3e-03 1.01e+00 1.664173406e+02 1.665808071e+02 3.6e-08 0.40
35 6.2e-05 3.5e-02 3.9e-03 1.01e+00 1.664288419e+02 1.665759392e+02 3.2e-08 0.41
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664391662e+02 1.665715356e+02 2.9e-08 0.42
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664484349e+02 1.665675527e+02 2.6e-08 0.43
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664567570e+02 1.665639513e+02 2.3e-08 0.44
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664642299e+02 1.665606954e+02 2.1e-08 0.46
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664709409e+02 1.665577524e+02 1.9e-08 0.47
41 3.3e-05 2.2e-02 2.1e-03 1.00e+00 1.664769684e+02 1.665550929e+02 1.7e-08 0.48
42 2.9e-05 2.1e-02 1.9e-03 1.00e+00 1.664823825e+02 1.665526899e+02 1.5e-08 0.49
43 2.7e-05 2.0e-02 1.7e-03 1.00e+00 1.664872462e+02 1.665505192e+02 1.4e-08 0.51
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664916158e+02 1.665485586e+02 1.2e-08 0.52
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664955419e+02 1.665467882e+02 1.1e-08 0.53
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664990699e+02 1.665451899e+02 1.0e-08 0.54
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665022406e+02 1.665437472e+02 9.1e-09 0.56
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665050903e+02 1.665424453e+02 8.2e-09 0.57
49 1.4e-05 1.4e-02 8.9e-04 1.00e+00 1.665076520e+02 1.665412706e+02 7.4e-09 0.58
50 1.3e-05 1.3e-02 8.0e-04 1.00e+00 1.665099549e+02 1.665402111e+02 6.6e-09 0.60
51 1.1e-05 1.3e-02 7.2e-04 1.00e+00 1.665120254e+02 1.665392556e+02 6.0e-09 0.61
52 1.0e-05 1.2e-02 6.5e-04 1.00e+00 1.665138871e+02 1.665383941e+02 5.4e-09 0.62
53 9.3e-06 1.2e-02 5.8e-04 1.00e+00 1.665155614e+02 1.665376174e+02 4.8e-09 0.63
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665170671e+02 1.665369174e+02 4.4e-09 0.64
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665184213e+02 1.665362865e+02 3.9e-09 0.66
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665196393e+02 1.665357180e+02 3.5e-09 0.67
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665207350e+02 1.665352058e+02 3.2e-09 0.68
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217205e+02 1.665347443e+02 2.9e-09 0.69
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226071e+02 1.665343285e+02 2.6e-09 0.70
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234045e+02 1.665339538e+02 2.3e-09 0.72
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241219e+02 1.665336162e+02 2.1e-09 0.73
62 3.6e-06 9.5e-03 2.3e-04 1.00e+00 1.665247671e+02 1.665333121e+02 1.9e-09 0.74
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253474e+02 1.665330379e+02 1.7e-09 0.75
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665258694e+02 1.665327909e+02 1.5e-09 0.76
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263389e+02 1.665325683e+02 1.4e-09 0.77
66 2.4e-06 9.0e-03 1.5e-04 1.00e+00 1.665267612e+02 1.665323677e+02 1.2e-09 0.78
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271411e+02 1.665321870e+02 1.1e-09 0.79
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665274828e+02 1.665320242e+02 1.0e-09 0.79
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665277903e+02 1.665318776e+02 9.0e-10 0.80
70 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.665280669e+02 1.665317455e+02 8.1e-10 0.82
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283157e+02 1.665316266e+02 7.3e-10 0.83
72 1.3e-06 8.5e-03 7.9e-05 1.00e+00 1.665285395e+02 1.665315193e+02 6.5e-10 0.84
73 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.665287409e+02 1.665314228e+02 5.9e-10 1.09
74 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.665289220e+02 1.665313357e+02 5.3e-10 1.26
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290850e+02 1.665312573e+02 4.8e-10 1.28
76 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.665292315e+02 1.665311867e+02 4.3e-10 1.40
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293634e+02 1.665311229e+02 3.9e-10 1.41
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294820e+02 1.665310655e+02 3.5e-10 1.43
79 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.665295886e+02 1.665310138e+02 3.1e-10 1.44
80 5.4e-07 8.2e-03 3.4e-05 9.98e-01 1.665296845e+02 1.665309673e+02 2.8e-10 1.45
81 4.8e-07 8.1e-03 3.0e-05 9.98e-01 1.665297707e+02 1.665309253e+02 2.5e-10 1.47
82 4.4e-07 8.1e-03 2.7e-05 9.99e-01 1.665298482e+02 1.665308874e+02 2.3e-10 1.48
83 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.665299180e+02 1.665308533e+02 2.1e-10 1.49
84 3.5e-07 8.0e-03 2.2e-05 1.00e+00 1.665299807e+02 1.665308224e+02 1.8e-10 1.50
85 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.665300371e+02 1.665307946e+02 1.7e-10 1.51
86 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.665300878e+02 1.665307696e+02 1.5e-10 1.52
87 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.665301335e+02 1.665307470e+02 1.3e-10 1.53
88 2.3e-07 7.9e-03 1.5e-05 9.98e-01 1.665301745e+02 1.665307267e+02 1.2e-10 1.54
89 2.1e-07 7.9e-03 1.3e-05 9.99e-01 1.665302114e+02 1.665307084e+02 1.1e-10 1.55
90 1.9e-07 7.9e-03 1.2e-05 9.94e-01 1.665302446e+02 1.665306920e+02 9.8e-11 1.56
91 1.7e-07 7.9e-03 1.1e-05 9.96e-01 1.665302745e+02 1.665306772e+02 8.8e-11 1.57
92 1.5e-07 7.9e-03 9.6e-06 1.00e+00 1.665303014e+02 1.665306638e+02 8.0e-11 1.58
93 1.4e-07 7.8e-03 8.6e-06 9.92e-01 1.665303255e+02 1.665306519e+02 7.2e-11 1.60
94 1.2e-07 7.0e-03 7.7e-06 1.00e+00 1.665303474e+02 1.665306409e+02 6.5e-11 1.61
95 1.1e-07 6.3e-03 7.0e-06 9.91e-01 1.665303669e+02 1.665306312e+02 5.8e-11 1.62
96 1.0e-07 5.7e-03 6.3e-06 9.99e-01 1.665303846e+02 1.665306224e+02 5.2e-11 1.63
97 9.0e-08 5.1e-03 5.6e-06 1.01e+00 1.665304009e+02 1.665306142e+02 4.7e-11 1.64
98 8.1e-08 4.6e-03 5.1e-06 1.01e+00 1.665304154e+02 1.665306069e+02 4.3e-11 1.65
99 7.3e-08 4.2e-03 4.6e-06 1.01e+00 1.665304286e+02 1.665306003e+02 3.8e-11 1.67
100 6.5e-08 3.7e-03 4.1e-06 1.01e+00 1.665304402e+02 1.665305944e+02 3.5e-11 1.68
101 5.9e-08 3.4e-03 3.7e-06 1.00e+00 1.665304505e+02 1.665305893e+02 3.1e-11 1.69
102 5.3e-08 3.0e-03 3.3e-06 9.85e-01 1.665304597e+02 1.665305847e+02 2.8e-11 1.70
103 4.8e-08 2.7e-03 3.0e-06 9.94e-01 1.665304681e+02 1.665305806e+02 2.5e-11 1.71
104 4.3e-08 2.5e-03 2.7e-06 9.84e-01 1.665304755e+02 1.665305769e+02 2.3e-11 1.72
105 3.9e-08 2.2e-03 2.4e-06 9.92e-01 1.665304823e+02 1.665305735e+02 2.0e-11 1.73
106 3.5e-08 2.0e-03 2.2e-06 1.01e+00 1.665304886e+02 1.665305703e+02 1.8e-11 1.74
107 3.1e-08 1.8e-03 2.0e-06 1.01e+00 1.665304943e+02 1.665305675e+02 1.7e-11 1.75
108 2.8e-08 1.6e-03 1.8e-06 9.81e-01 1.665304991e+02 1.665305651e+02 1.5e-11 1.76
109 2.5e-08 1.4e-03 1.6e-06 1.01e+00 1.665305036e+02 1.665305628e+02 1.4e-11 1.77
110 2.3e-08 1.3e-03 1.4e-06 1.02e+00 1.665305078e+02 1.665305607e+02 1.2e-11 1.78
111 2.1e-08 1.2e-03 1.3e-06 1.03e+00 1.665305117e+02 1.665305587e+02 1.1e-11 1.80
112 1.9e-08 1.1e-03 1.2e-06 9.75e-01 1.665305148e+02 1.665305572e+02 1.0e-11 1.81
113 1.7e-08 9.5e-04 1.0e-06 1.04e+00 1.665305182e+02 1.665305554e+02 9.2e-12 1.82
114 1.5e-08 8.6e-04 9.4e-07 1.07e+00 1.665305214e+02 1.665305537e+02 8.6e-12 1.83
115 1.4e-08 7.7e-04 8.5e-07 1.07e+00 1.665305243e+02 1.665305522e+02 8.0e-12 1.85
116 1.2e-08 6.9e-04 7.6e-07 1.09e+00 1.665305269e+02 1.665305508e+02 7.5e-12 1.86
117 1.1e-08 6.2e-04 6.9e-07 9.27e-01 1.665305285e+02 1.665305501e+02 6.8e-12 1.87
118 1.0e-08 5.6e-04 6.2e-07 1.09e+00 1.665305306e+02 1.665305490e+02 6.4e-12 1.88
119 9.1e-09 5.1e-04 5.6e-07 1.08e+00 1.665305323e+02 1.665305482e+02 6.0e-12 1.89
120 8.2e-09 4.5e-04 5.0e-07 1.09e+00 1.665305338e+02 1.665305474e+02 5.6e-12 1.90
121 7.4e-09 4.1e-04 4.5e-07 1.01e+00 1.665305348e+02 1.665305469e+02 5.1e-12 1.91
122 6.9e-09 3.7e-04 4.1e-07 1.34e+00 1.665305356e+02 1.665305464e+02 4.6e-12 1.93
123 6.3e-09 3.3e-04 3.6e-07 1.11e+00 1.665305368e+02 1.665305459e+02 4.3e-12 1.94
124 5.7e-09 3.0e-04 3.3e-07 1.10e+00 1.665305377e+02 1.665305454e+02 4.1e-12 1.95
125 5.2e-09 2.7e-04 3.0e-07 9.87e-01 1.665305382e+02 1.665305452e+02 3.7e-12 1.96
126 4.7e-09 2.4e-04 2.7e-07 1.20e+00 1.665305391e+02 1.665305447e+02 3.7e-12 1.97
127 4.2e-09 2.2e-04 2.4e-07 9.01e-01 1.665305395e+02 1.665305445e+02 3.3e-12 1.98
128 1.2e-09 4.4e-05 4.8e-08 1.03e+00 1.665305423e+02 1.665305433e+02 6.4e-13 2.00
Interior-point optimizer terminated. Time: 2.00.
Optimizer terminated. Time: 2.01
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054233e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.6653054331e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.02 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286069775e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264280198e+05 3.575762064e+00 4.8e-01 0.05
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.202642660e+05 1.018055440e+01 1.9e-01 0.07
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.155864713e+05 6.348046898e+01 1.2e-01 0.07
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.129604581e+05 2.275516411e+03 1.2e-01 0.09
5 7.5e+01 9.6e+01 4.2e+03 -7.53e-01 -7.467560065e+04 9.661836115e+03 3.3e-02 0.10
6 3.3e+01 4.2e+01 1.8e+03 -1.93e-01 -4.344556336e+04 1.030574302e+04 1.4e-02 0.10
7 1.9e+01 2.5e+01 1.1e+03 3.43e-01 -2.866890366e+04 6.921960361e+03 8.5e-03 0.12
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.820598580e+04 4.395200441e+03 5.0e-03 0.13
9 4.5e+00 5.8e+00 2.5e+02 7.73e-01 -7.371169017e+03 2.103308696e+03 2.0e-03 0.14
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.214986289e+03 1.325822033e+03 9.3e-04 0.15
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.014766360e+03 8.899274967e+02 6.0e-04 0.16
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.165868926e+03 6.060219146e+02 3.6e-04 0.17
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.120469409e+02 5.060734172e+02 2.9e-04 0.18
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.191570594e+02 3.802511717e+02 1.6e-04 0.20
15 1.8e-01 2.4e-01 1.0e+01 9.93e-01 -1.346802411e+02 2.582571270e+02 8.0e-05 0.21
16 7.9e-02 1.4e-01 4.6e+00 1.01e+00 2.126842393e+01 1.996178284e+02 3.7e-05 0.22
17 6.8e-02 1.2e-01 3.9e+00 1.02e+00 4.474521228e+01 1.978716711e+02 3.2e-05 0.23
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.178051602e+02 1.806432840e+02 1.3e-05 0.24
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.531912356e+02 1.714401452e+02 3.8e-06 0.25
20 2.9e-03 2.3e-01 1.7e-01 1.00e+00 1.613910994e+02 1.680582292e+02 1.4e-06 0.26
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635874112e+02 1.674597134e+02 8.2e-07 0.27
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656228537e+02 1.668056691e+02 2.5e-07 0.28
23 1.9e-04 1.0e-01 1.2e-02 1.01e+00 1.661602781e+02 1.666050920e+02 9.7e-08 0.29
24 8.5e-05 8.7e-02 5.4e-03 1.01e+00 1.663313781e+02 1.665357259e+02 4.5e-08 0.30
25 3.9e-05 7.9e-02 2.5e-03 1.01e+00 1.664099230e+02 1.665032820e+02 2.1e-08 0.31
26 3.5e-05 7.2e-02 2.2e-03 1.01e+00 1.664180600e+02 1.665021075e+02 1.9e-08 0.32
27 3.1e-05 6.6e-02 2.0e-03 1.01e+00 1.664237708e+02 1.664993848e+02 1.7e-08 0.33
28 2.8e-05 6.0e-02 1.8e-03 1.01e+00 1.664290390e+02 1.664970771e+02 1.5e-08 0.35
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664337524e+02 1.664949740e+02 1.4e-08 0.36
30 2.3e-05 5.0e-02 1.5e-03 1.01e+00 1.664379893e+02 1.664930784e+02 1.2e-08 0.37
31 2.1e-05 4.6e-02 1.3e-03 1.00e+00 1.664417949e+02 1.664913667e+02 1.1e-08 0.38
32 1.8e-05 4.2e-02 1.2e-03 1.00e+00 1.664452140e+02 1.664898218e+02 1.0e-08 0.40
33 1.7e-05 3.9e-02 1.1e-03 1.00e+00 1.664482862e+02 1.664884277e+02 9.0e-09 0.41
34 1.5e-05 3.6e-02 9.6e-04 1.00e+00 1.664510470e+02 1.664871698e+02 8.1e-09 0.42
35 1.3e-05 3.3e-02 8.6e-04 1.00e+00 1.664535282e+02 1.664860351e+02 7.3e-09 0.43
36 1.2e-05 3.0e-02 7.8e-04 1.00e+00 1.664557584e+02 1.664850117e+02 6.5e-09 0.44
37 1.1e-05 2.8e-02 7.0e-04 1.00e+00 1.664577631e+02 1.664840888e+02 5.9e-09 0.45
38 9.8e-06 2.6e-02 6.3e-04 1.00e+00 1.664595654e+02 1.664832566e+02 5.3e-09 0.46
39 8.8e-06 2.4e-02 5.7e-04 1.00e+00 1.664611859e+02 1.664825065e+02 4.8e-09 0.46
40 8.0e-06 2.3e-02 5.1e-04 1.00e+00 1.664626431e+02 1.664818303e+02 4.3e-09 0.47
41 7.2e-06 2.1e-02 4.6e-04 1.00e+00 1.664639534e+02 1.664812210e+02 3.9e-09 0.48
42 6.4e-06 2.0e-02 4.1e-04 1.00e+00 1.664651319e+02 1.664806719e+02 3.5e-09 0.49
43 5.8e-06 1.9e-02 3.7e-04 1.00e+00 1.664661918e+02 1.664801772e+02 3.1e-09 0.50
44 5.2e-06 1.7e-02 3.3e-04 1.00e+00 1.664671451e+02 1.664797316e+02 2.8e-09 0.52
45 4.7e-06 1.6e-02 3.0e-04 1.00e+00 1.664680027e+02 1.664793301e+02 2.5e-09 0.53
46 4.2e-06 1.6e-02 2.7e-04 1.00e+00 1.664687741e+02 1.664789685e+02 2.3e-09 0.54
47 3.8e-06 1.5e-02 2.4e-04 1.00e+00 1.664694681e+02 1.664786428e+02 2.1e-09 0.55
48 3.4e-06 1.4e-02 2.2e-04 1.00e+00 1.664700923e+02 1.664783494e+02 1.8e-09 0.56
49 3.1e-06 1.3e-02 2.0e-04 1.00e+00 1.664706539e+02 1.664780851e+02 1.7e-09 0.58
50 2.8e-06 1.3e-02 1.8e-04 1.00e+00 1.664711591e+02 1.664778471e+02 1.5e-09 0.59
51 2.5e-06 1.2e-02 1.6e-04 1.00e+00 1.664716136e+02 1.664776327e+02 1.3e-09 0.60
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664720226e+02 1.664774397e+02 1.2e-09 0.61
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664723906e+02 1.664772660e+02 1.1e-09 0.62
54 1.8e-06 1.1e-02 1.2e-04 1.00e+00 1.664727218e+02 1.664771096e+02 9.8e-10 0.63
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664730198e+02 1.664769688e+02 8.8e-10 0.64
56 1.5e-06 1.0e-02 9.4e-05 1.00e+00 1.664732880e+02 1.664768421e+02 8.0e-10 0.65
57 1.3e-06 1.0e-02 8.5e-05 1.00e+00 1.664735294e+02 1.664767279e+02 7.2e-10 0.66
58 1.2e-06 9.9e-03 7.6e-05 1.00e+00 1.664737466e+02 1.664766253e+02 6.5e-10 0.67
59 1.1e-06 9.6e-03 6.9e-05 1.00e+00 1.664739421e+02 1.664765329e+02 5.8e-10 0.68
60 9.7e-07 9.4e-03 6.2e-05 1.00e+00 1.664741180e+02 1.664764497e+02 5.2e-10 0.69
61 8.7e-07 9.2e-03 5.6e-05 1.00e+00 1.664742763e+02 1.664763748e+02 4.7e-10 0.70
62 7.8e-07 9.1e-03 5.0e-05 1.00e+00 1.664744187e+02 1.664763074e+02 4.2e-10 0.71
63 7.1e-07 8.9e-03 4.5e-05 1.00e+00 1.664745469e+02 1.664762466e+02 3.8e-10 0.72
64 6.3e-07 8.8e-03 4.1e-05 1.00e+00 1.664746622e+02 1.664761919e+02 3.4e-10 0.73
65 5.7e-07 8.7e-03 3.7e-05 1.00e+00 1.664747659e+02 1.664761427e+02 3.1e-10 0.74
66 5.1e-07 8.6e-03 3.3e-05 1.00e+00 1.664748592e+02 1.664760983e+02 2.8e-10 0.75
67 4.6e-07 8.5e-03 3.0e-05 1.00e+00 1.664749432e+02 1.664760584e+02 2.5e-10 0.77
68 4.2e-07 8.4e-03 2.7e-05 1.00e+00 1.664750187e+02 1.664760224e+02 2.2e-10 0.78
69 3.7e-07 8.3e-03 2.4e-05 1.00e+00 1.664750866e+02 1.664759899e+02 2.0e-10 0.79
70 3.4e-07 8.2e-03 2.2e-05 9.99e-01 1.664751477e+02 1.664759608e+02 1.8e-10 0.80
71 3.0e-07 8.2e-03 1.9e-05 1.00e+00 1.664752027e+02 1.664759344e+02 1.6e-10 0.81
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752522e+02 1.664759106e+02 1.5e-10 0.83
73 2.5e-07 8.1e-03 1.6e-05 1.00e+00 1.664752967e+02 1.664758893e+02 1.3e-10 0.84
74 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664753367e+02 1.664758700e+02 1.2e-10 0.85
75 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664753727e+02 1.664758527e+02 1.1e-10 0.86
76 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.664754052e+02 1.664758371e+02 9.7e-11 0.87
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754343e+02 1.664758231e+02 8.7e-11 0.88
78 1.5e-07 7.9e-03 9.3e-06 1.00e+00 1.664754606e+02 1.664758104e+02 7.8e-11 0.89
79 1.3e-07 7.8e-03 8.4e-06 9.94e-01 1.664754842e+02 1.664757991e+02 7.1e-11 0.90
80 1.2e-07 7.8e-03 7.5e-06 1.00e+00 1.664755054e+02 1.664757889e+02 6.4e-11 0.91
81 1.1e-07 7.0e-03 6.8e-06 1.01e+00 1.664755248e+02 1.664757795e+02 5.7e-11 0.92
82 9.5e-08 6.3e-03 6.1e-06 9.91e-01 1.664755419e+02 1.664757713e+02 5.2e-11 0.93
83 8.6e-08 5.7e-03 5.5e-06 9.94e-01 1.664755574e+02 1.664757638e+02 4.6e-11 0.94
84 7.7e-08 5.1e-03 4.9e-06 1.00e+00 1.664755714e+02 1.664757570e+02 4.2e-11 0.95
85 6.9e-08 4.6e-03 4.4e-06 1.01e+00 1.664755843e+02 1.664757508e+02 3.8e-11 0.96
86 6.2e-08 4.1e-03 4.0e-06 1.00e+00 1.664755956e+02 1.664757453e+02 3.4e-11 0.97
87 5.6e-08 3.7e-03 3.6e-06 9.91e-01 1.664756057e+02 1.664757404e+02 3.1e-11 0.98
88 5.1e-08 3.3e-03 3.2e-06 1.01e+00 1.664756150e+02 1.664757360e+02 2.8e-11 0.99
89 4.6e-08 3.0e-03 2.9e-06 9.97e-01 1.664756231e+02 1.664757320e+02 2.5e-11 1.00
90 4.1e-08 2.7e-03 2.6e-06 1.00e+00 1.664756305e+02 1.664757285e+02 2.2e-11 1.01
91 3.7e-08 2.4e-03 2.4e-06 9.94e-01 1.664756371e+02 1.664757253e+02 2.0e-11 1.02
92 3.3e-08 2.2e-03 2.1e-06 9.97e-01 1.664756430e+02 1.664757224e+02 1.8e-11 1.03
93 3.0e-08 2.0e-03 1.9e-06 1.01e+00 1.664756486e+02 1.664757197e+02 1.6e-11 1.04
94 2.7e-08 1.8e-03 1.7e-06 1.00e+00 1.664756535e+02 1.664757173e+02 1.5e-11 1.06
95 2.4e-08 1.6e-03 1.6e-06 9.87e-01 1.664756578e+02 1.664757153e+02 1.3e-11 1.07
96 2.2e-08 1.4e-03 1.4e-06 1.01e+00 1.664756617e+02 1.664757134e+02 1.2e-11 1.08
97 2.0e-08 1.3e-03 1.3e-06 9.82e-01 1.664756652e+02 1.664757117e+02 1.1e-11 1.09
98 1.8e-08 1.2e-03 1.1e-06 9.81e-01 1.664756683e+02 1.664757102e+02 9.7e-12 1.10
99 1.6e-08 1.1e-03 1.0e-06 1.02e+00 1.664756714e+02 1.664757087e+02 8.8e-12 1.12
100 1.4e-08 9.5e-04 9.2e-07 1.03e+00 1.664756742e+02 1.664757073e+02 8.0e-12 1.13
101 1.3e-08 8.5e-04 8.2e-07 9.93e-01 1.664756764e+02 1.664757062e+02 7.2e-12 1.14
102 1.2e-08 7.7e-04 7.4e-07 9.41e-01 1.664756784e+02 1.664757053e+02 6.5e-12 1.15
103 1.0e-08 6.9e-04 6.7e-07 1.04e+00 1.664756805e+02 1.664757043e+02 6.0e-12 1.16
104 9.4e-09 6.2e-04 6.0e-07 1.02e+00 1.664756823e+02 1.664757034e+02 5.4e-12 1.17
105 2.8e-09 6.3e-05 6.2e-08 9.79e-01 1.664756951e+02 1.664756973e+02 6.0e-13 1.19
Interior-point optimizer terminated. Time: 1.19.
Optimizer terminated. Time: 1.20
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569513e+02 Viol. con: 5e-08 var: 0e+00
Dual. obj: 1.6647569731e+02 Viol. con: 0e+00 var: 4e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.22 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.02 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.01
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285358119e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263542087e+05 3.574445529e+00 4.8e-01 0.05
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201588487e+05 1.021567117e+01 1.9e-01 0.06
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154718921e+05 6.399965566e+01 1.2e-01 0.07
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.128613768e+05 2.263785774e+03 1.2e-01 0.08
5 7.5e+01 9.7e+01 4.2e+03 -7.52e-01 -7.480741157e+04 9.600135607e+03 3.3e-02 0.09
6 3.0e+01 3.9e+01 1.7e+03 -1.96e-01 -4.068260604e+04 1.026881472e+04 1.3e-02 0.10
7 1.8e+01 2.3e+01 1.0e+03 3.91e-01 -2.712656809e+04 6.680857882e+03 7.9e-03 0.12
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.569362290e+04 3.889215911e+03 4.3e-03 0.13
9 3.9e+00 5.0e+00 2.2e+02 8.12e-01 -6.429970967e+03 1.893874109e+03 1.7e-03 0.14
10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.286677001e+03 1.204165204e+03 9.2e-04 0.15
11 1.0e+00 1.3e+00 5.9e+01 9.80e-01 -1.544944823e+03 7.355128922e+02 4.7e-04 0.17
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.184097189e+03 6.013195542e+02 3.6e-04 0.18
13 4.8e-01 6.2e-01 2.7e+01 9.74e-01 -6.380881437e+02 4.207575035e+02 2.1e-04 0.19
14 2.6e-01 3.6e-01 1.5e+01 1.00e+00 -2.718673225e+02 3.084880923e+02 1.2e-04 0.19
15 9.7e-02 1.5e-01 5.5e+00 1.00e+00 -1.010358909e+01 2.072406850e+02 4.5e-05 0.20
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.582603201e+01 2.085964078e+02 4.0e-05 0.21
17 5.3e-02 8.8e-02 3.1e+00 1.02e+00 7.254290604e+01 1.918838569e+02 2.5e-05 0.22
18 2.3e-02 6.9e-02 1.3e+00 1.02e+00 1.266790983e+02 1.778032271e+02 1.1e-05 0.23
19 6.2e-03 2.3e-01 3.7e-01 1.01e+00 1.562556613e+02 1.702788816e+02 2.9e-06 0.24
20 3.1e-03 3.1e-01 1.8e-01 1.00e+00 1.610363996e+02 1.681100182e+02 1.5e-06 0.26
21 1.6e-03 1.7e-01 9.8e-02 1.01e+00 1.636145070e+02 1.673813672e+02 8.0e-07 0.27
22 4.9e-04 1.4e-01 3.0e-02 1.01e+00 1.656242840e+02 1.667725294e+02 2.5e-07 0.28
23 3.1e-04 1.1e-01 1.9e-02 9.98e-01 1.659258723e+02 1.666521380e+02 1.6e-07 0.29
24 1.9e-04 7.7e-02 1.2e-02 9.85e-01 1.661267302e+02 1.665737778e+02 9.7e-08 0.31
25 1.7e-04 6.6e-02 1.0e-02 9.99e-01 1.661696502e+02 1.665612787e+02 8.5e-08 0.32
26 1.5e-04 6.0e-02 9.3e-03 1.01e+00 1.661982674e+02 1.665504915e+02 7.7e-08 0.33
27 1.3e-04 5.5e-02 8.4e-03 1.01e+00 1.662230851e+02 1.665399592e+02 6.9e-08 0.34
28 1.2e-04 5.0e-02 7.5e-03 1.01e+00 1.662455610e+02 1.665306795e+02 6.2e-08 0.35
29 1.1e-04 4.6e-02 6.8e-03 1.01e+00 1.662656970e+02 1.665222477e+02 5.6e-08 0.36
30 9.8e-05 4.2e-02 6.1e-03 1.01e+00 1.662837706e+02 1.665146208e+02 5.0e-08 0.37
31 8.8e-05 3.8e-02 5.5e-03 1.01e+00 1.662999888e+02 1.665077171e+02 4.5e-08 0.38
32 7.9e-05 3.5e-02 4.9e-03 1.01e+00 1.663145438e+02 1.665014695e+02 4.1e-08 0.39
33 7.1e-05 3.3e-02 4.4e-03 1.00e+00 1.663276066e+02 1.664958159e+02 3.7e-08 0.40
34 6.4e-05 3.0e-02 4.0e-03 1.00e+00 1.663393313e+02 1.664907003e+02 3.3e-08 0.41
35 5.8e-05 2.8e-02 3.6e-03 1.00e+00 1.663498557e+02 1.664860725e+02 3.0e-08 0.42
36 5.2e-05 2.6e-02 3.2e-03 1.00e+00 1.663593038e+02 1.664818866e+02 2.7e-08 0.43
37 4.7e-05 2.4e-02 2.9e-03 1.00e+00 1.663677865e+02 1.664781013e+02 2.4e-08 0.44
38 4.2e-05 2.2e-02 2.6e-03 1.00e+00 1.663754033e+02 1.664746789e+02 2.2e-08 0.45
39 3.8e-05 2.1e-02 2.4e-03 1.00e+00 1.663822433e+02 1.664715852e+02 2.0e-08 0.47
40 3.4e-05 1.9e-02 2.1e-03 1.00e+00 1.663883863e+02 1.664687893e+02 1.8e-08 0.48
41 3.1e-05 1.8e-02 1.9e-03 1.00e+00 1.663939039e+02 1.664662628e+02 1.6e-08 0.49
42 2.8e-05 1.7e-02 1.7e-03 1.00e+00 1.663988601e+02 1.664639801e+02 1.4e-08 0.50
43 2.5e-05 1.6e-02 1.6e-03 1.00e+00 1.664033123e+02 1.664619181e+02 1.3e-08 0.51
44 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664073121e+02 1.664600556e+02 1.2e-08 0.52
45 2.0e-05 1.5e-02 1.3e-03 1.00e+00 1.664109057e+02 1.664583735e+02 1.0e-08 0.52
46 1.8e-05 1.4e-02 1.1e-03 1.00e+00 1.664141345e+02 1.664568545e+02 9.4e-09 0.54
47 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664170358e+02 1.664554831e+02 8.4e-09 0.55
48 1.5e-05 1.3e-02 9.2e-04 1.00e+00 1.664196430e+02 1.664542449e+02 7.6e-09 0.56
49 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664219860e+02 1.664531273e+02 6.8e-09 0.57
50 1.2e-05 1.2e-02 7.4e-04 1.00e+00 1.664240917e+02 1.664521186e+02 6.2e-09 0.58
51 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.664259843e+02 1.664512084e+02 5.5e-09 0.58
52 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664276855e+02 1.664503871e+02 5.0e-09 0.60
53 8.6e-06 1.1e-02 5.4e-04 1.00e+00 1.664292147e+02 1.664496461e+02 4.5e-09 0.61
54 7.8e-06 1.0e-02 4.9e-04 1.00e+00 1.664305895e+02 1.664489777e+02 4.0e-09 0.62
55 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318255e+02 1.664483749e+02 3.6e-09 0.63
56 6.3e-06 9.9e-03 3.9e-04 1.00e+00 1.664329367e+02 1.664478312e+02 3.3e-09 0.64
57 5.7e-06 9.7e-03 3.5e-04 1.00e+00 1.664339358e+02 1.664473410e+02 2.9e-09 0.65
58 5.1e-06 9.6e-03 3.2e-04 1.00e+00 1.664348343e+02 1.664468990e+02 2.7e-09 0.66
59 4.6e-06 9.4e-03 2.9e-04 1.00e+00 1.664356421e+02 1.664465004e+02 2.4e-09 0.67
60 4.1e-06 9.2e-03 2.6e-04 1.00e+00 1.664363685e+02 1.664461411e+02 2.1e-09 0.68
61 3.7e-06 9.1e-03 2.3e-04 1.00e+00 1.664370217e+02 1.664458171e+02 1.9e-09 0.69
62 3.3e-06 9.0e-03 2.1e-04 1.00e+00 1.664376091e+02 1.664455250e+02 1.7e-09 0.70
63 3.0e-06 8.9e-03 1.9e-04 1.00e+00 1.664381373e+02 1.664452617e+02 1.6e-09 0.71
64 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386124e+02 1.664450244e+02 1.4e-09 0.72
65 2.4e-06 8.7e-03 1.5e-04 1.00e+00 1.664390396e+02 1.664448105e+02 1.3e-09 0.73
66 2.2e-06 8.6e-03 1.4e-04 1.00e+00 1.664394240e+02 1.664446178e+02 1.1e-09 0.75
67 2.0e-06 8.5e-03 1.2e-04 1.00e+00 1.664397697e+02 1.664444443e+02 1.0e-09 0.76
68 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400807e+02 1.664442879e+02 9.3e-10 0.77
69 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403606e+02 1.664441471e+02 8.3e-10 0.78
70 1.4e-06 8.3e-03 9.0e-05 1.00e+00 1.664406123e+02 1.664440202e+02 7.5e-10 0.79
71 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408388e+02 1.664439059e+02 6.7e-10 0.80
72 1.2e-06 8.2e-03 7.3e-05 1.00e+00 1.664410425e+02 1.664438030e+02 6.1e-10 0.81
73 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412258e+02 1.664437103e+02 5.5e-10 0.82
74 9.5e-07 8.1e-03 5.9e-05 1.00e+00 1.664413907e+02 1.664436268e+02 4.9e-10 0.83
75 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415391e+02 1.664435515e+02 4.4e-10 0.84
76 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416726e+02 1.664434838e+02 4.0e-10 0.85
77 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417927e+02 1.664434228e+02 3.6e-10 0.86
78 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419007e+02 1.664433678e+02 3.2e-10 0.87
79 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664419979e+02 1.664433183e+02 2.9e-10 0.88
80 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420853e+02 1.664432737e+02 2.6e-10 0.89
81 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421640e+02 1.664432335e+02 2.4e-10 0.90
82 4.1e-07 7.8e-03 2.5e-05 1.00e+00 1.664422347e+02 1.664431973e+02 2.1e-10 0.91
83 3.7e-07 7.8e-03 2.3e-05 9.99e-01 1.664422983e+02 1.664431647e+02 1.9e-10 0.92
84 3.3e-07 7.7e-03 2.1e-05 9.99e-01 1.664423556e+02 1.664431354e+02 1.7e-10 0.93
85 3.0e-07 7.7e-03 1.9e-05 9.99e-01 1.664424071e+02 1.664431090e+02 1.5e-10 0.94
86 2.7e-07 7.7e-03 1.7e-05 9.98e-01 1.664424535e+02 1.664430852e+02 1.4e-10 0.95
87 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424952e+02 1.664430638e+02 1.3e-10 0.96
88 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.664425328e+02 1.664430445e+02 1.1e-10 0.97
89 1.9e-07 7.6e-03 1.2e-05 1.00e+00 1.664425666e+02 1.664430271e+02 1.0e-10 1.30
90 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425970e+02 1.664430114e+02 9.1e-11 1.31
91 1.6e-07 7.6e-03 9.9e-06 1.00e+00 1.664426244e+02 1.664429974e+02 8.2e-11 1.34
92 1.4e-07 7.6e-03 8.9e-06 1.00e+00 1.664426490e+02 1.664429847e+02 7.4e-11 1.36
93 1.3e-07 6.8e-03 8.0e-06 1.00e+00 1.664426713e+02 1.664429732e+02 6.7e-11 1.39
94 1.2e-07 6.2e-03 7.2e-06 9.96e-01 1.664426913e+02 1.664429630e+02 6.0e-11 1.40
95 1.0e-07 5.5e-03 6.5e-06 1.00e+00 1.664427092e+02 1.664429537e+02 5.4e-11 1.41
96 9.3e-08 5.0e-03 5.8e-06 1.00e+00 1.664427254e+02 1.664429455e+02 4.8e-11 1.43
97 8.4e-08 4.5e-03 5.2e-06 9.97e-01 1.664427399e+02 1.664429380e+02 4.4e-11 1.45
98 7.5e-08 4.0e-03 4.7e-06 9.98e-01 1.664427530e+02 1.664429313e+02 3.9e-11 1.50
99 6.8e-08 3.6e-03 4.3e-06 1.01e+00 1.664427650e+02 1.664429251e+02 3.5e-11 1.51
100 6.1e-08 3.3e-03 3.8e-06 1.01e+00 1.664427758e+02 1.664429195e+02 3.2e-11 1.52
101 5.5e-08 2.9e-03 3.4e-06 1.01e+00 1.664427856e+02 1.664429145e+02 2.9e-11 1.54
102 5.0e-08 2.7e-03 3.1e-06 9.98e-01 1.664427941e+02 1.664429101e+02 2.6e-11 1.55
103 4.5e-08 2.4e-03 2.8e-06 9.90e-01 1.664428018e+02 1.664429063e+02 2.3e-11 1.56
104 4.0e-08 2.1e-03 2.5e-06 9.85e-01 1.664428087e+02 1.664429028e+02 2.1e-11 1.57
105 3.6e-08 1.9e-03 2.3e-06 9.86e-01 1.664428149e+02 1.664428996e+02 1.9e-11 1.58
106 3.2e-08 1.7e-03 2.0e-06 1.02e+00 1.664428209e+02 1.664428965e+02 1.7e-11 1.60
107 2.9e-08 1.6e-03 1.8e-06 1.00e+00 1.664428259e+02 1.664428939e+02 1.5e-11 1.61
108 2.6e-08 1.4e-03 1.6e-06 1.02e+00 1.664428308e+02 1.664428914e+02 1.4e-11 1.62
109 2.4e-08 1.3e-03 1.5e-06 1.00e+00 1.664428348e+02 1.664428893e+02 1.3e-11 1.64
110 2.1e-08 1.1e-03 1.3e-06 1.02e+00 1.664428387e+02 1.664428872e+02 1.1e-11 1.65
111 1.9e-08 1.0e-03 1.2e-06 9.88e-01 1.664428419e+02 1.664428856e+02 1.0e-11 1.66
112 1.7e-08 9.2e-04 1.1e-06 1.04e+00 1.664428453e+02 1.664428838e+02 9.5e-12 1.67
113 1.6e-08 8.3e-04 9.7e-07 1.04e+00 1.664428483e+02 1.664428822e+02 8.7e-12 1.69
114 1.4e-08 7.5e-04 8.8e-07 1.06e+00 1.664428512e+02 1.664428807e+02 8.0e-12 1.70
115 1.3e-08 6.7e-04 7.9e-07 1.06e+00 1.664428537e+02 1.664428794e+02 7.4e-12 1.72
116 1.1e-08 6.1e-04 7.1e-07 9.72e-01 1.664428554e+02 1.664428785e+02 6.7e-12 1.74
117 1.0e-08 5.5e-04 6.4e-07 8.17e-01 1.664428570e+02 1.664428778e+02 6.0e-12 1.75
118 1.0e-08 4.9e-04 5.7e-07 1.15e+00 1.664428594e+02 1.664428763e+02 5.8e-12 1.80
119 9.4e-09 4.4e-04 5.2e-07 9.66e-01 1.664428605e+02 1.664428757e+02 5.3e-12 1.89
120 1.2e-08 4.0e-04 4.7e-07 1.18e+00 1.664428624e+02 1.664428746e+02 5.1e-12 1.99
121 1.2e-08 3.6e-04 4.2e-07 1.14e+00 1.664428638e+02 1.664428740e+02 5.0e-12 2.06
122 1.1e-08 3.2e-04 3.8e-07 6.77e-01 1.664428646e+02 1.664428735e+02 4.5e-12 2.15
123 1.0e-08 2.9e-04 3.4e-07 4.26e-01 1.664428651e+02 1.664428734e+02 4.0e-12 2.24
124 1.1e-08 2.6e-04 3.1e-07 4.83e-01 1.664428656e+02 1.664428733e+02 3.6e-12 2.34
125 9.7e-09 2.3e-04 2.7e-07 9.19e-01 1.664428661e+02 1.664428731e+02 3.3e-12 2.45
126 1.2e-08 2.3e-04 2.7e-07 1.10e+01 1.664428660e+02 1.664428737e+02 3.2e-12 2.54
127 1.2e-08 2.1e-04 2.4e-07 8.24e-01 1.664428664e+02 1.664428735e+02 2.9e-12 2.62
128 1.1e-08 1.9e-04 2.2e-07 7.25e-01 1.664428669e+02 1.664428733e+02 2.6e-12 2.63
129 9.6e-09 1.7e-04 2.0e-07 1.83e+00 1.664428673e+02 1.664428730e+02 2.3e-12 2.65
130 8.9e-09 1.5e-04 1.8e-07 8.26e-01 1.664428676e+02 1.664428729e+02 2.1e-12 2.66
131 8.0e-09 1.4e-04 1.6e-07 7.87e-01 1.664428679e+02 1.664428727e+02 1.9e-12 2.68
132 7.3e-09 1.2e-04 1.4e-07 1.36e+00 1.664428682e+02 1.664428726e+02 1.7e-12 2.70
133 7.8e-09 1.1e-04 1.3e-07 8.53e-01 1.664428685e+02 1.664428724e+02 1.5e-12 2.71
134 7.0e-09 9.9e-05 1.2e-07 7.11e-01 1.664428687e+02 1.664428723e+02 1.4e-12 2.73
135 9.9e-09 5.3e-06 6.2e-09 2.46e-01 1.664428716e+02 1.664428718e+02 3.6e-13 2.74
Interior-point optimizer terminated. Time: 2.74.
Optimizer terminated. Time: 2.75
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644287155e+02 Viol. con: 3e-07 var: 0e+00
Dual. obj: 1.6644287185e+02 Viol. con: 0e+00 var: 5e-05
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.77 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.02 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.01
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285340956e+05 2.000000000e+00 1.0e+00 0.03
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263517277e+05 3.573621112e+00 4.8e-01 0.04
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201360071e+05 1.023272822e+01 1.8e-01 0.05
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.154380575e+05 6.426643738e+01 1.2e-01 0.06
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.128348619e+05 2.258318556e+03 1.2e-01 0.08
5 7.5e+01 9.6e+01 4.1e+03 -7.52e-01 -7.471878925e+04 9.598259500e+03 3.3e-02 0.09
6 3.0e+01 3.9e+01 1.7e+03 -1.95e-01 -4.050836648e+04 1.020869519e+04 1.3e-02 0.10
7 1.8e+01 2.3e+01 1.0e+03 3.94e-01 -2.711077957e+04 6.648788549e+03 7.9e-03 0.11
8 9.5e+00 1.2e+01 5.3e+02 6.30e-01 -1.542139911e+04 3.834873928e+03 4.2e-03 0.12
9 3.6e+00 4.7e+00 2.0e+02 8.16e-01 -5.933709384e+03 1.798171432e+03 1.6e-03 0.13
10 2.0e+00 2.6e+00 1.1e+02 9.47e-01 -3.130700645e+03 1.194463110e+03 8.9e-04 0.14
11 8.4e-01 1.1e+00 4.7e+01 9.81e-01 -1.229432623e+03 6.158758576e+02 3.8e-04 0.15
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.213196130e+03 5.912531341e+02 3.7e-04 0.16
13 5.1e-01 6.6e-01 2.9e+01 9.72e-01 -7.067508887e+02 4.266800031e+02 2.3e-04 0.17
14 3.1e-01 4.2e-01 1.8e+01 1.00e+00 -3.527384867e+02 3.410995708e+02 1.4e-04 0.18
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.763082542e+01 2.143697443e+02 5.0e-05 0.19
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.135856258e+01 2.045405872e+02 3.8e-05 0.20
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.501534646e+01 1.868884074e+02 1.9e-05 0.21
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425021304e+02 1.741743645e+02 6.6e-06 0.23
19 6.2e-03 7.2e-02 3.6e-01 1.01e+00 1.557127605e+02 1.695764602e+02 2.9e-06 0.24
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638759010e+02 1.673863131e+02 7.4e-07 0.25
21 8.0e-04 1.1e-01 4.9e-02 9.78e-01 1.650621312e+02 1.669373308e+02 4.0e-07 0.26
22 2.4e-04 1.1e-01 1.6e-02 9.90e-01 1.660031456e+02 1.665978429e+02 1.3e-07 0.27
23 1.1e-04 8.9e-02 7.5e-03 1.01e+00 1.662212851e+02 1.665057574e+02 6.3e-08 0.27
24 4.7e-05 8.5e-02 3.1e-03 1.01e+00 1.663394233e+02 1.664571338e+02 2.6e-08 0.28
25 2.2e-05 7.7e-02 1.5e-03 1.01e+00 1.663835787e+02 1.664385512e+02 1.2e-08 0.29
26 2.0e-05 7.1e-02 1.3e-03 1.00e+00 1.663881971e+02 1.664377014e+02 1.1e-08 0.30
27 1.8e-05 6.4e-02 1.2e-03 1.01e+00 1.663915597e+02 1.664361005e+02 1.0e-08 0.31
28 1.6e-05 5.9e-02 1.1e-03 1.00e+00 1.663946471e+02 1.664347270e+02 9.0e-09 0.32
29 1.4e-05 5.4e-02 9.6e-04 1.00e+00 1.663974101e+02 1.664334758e+02 8.1e-09 0.34
30 1.3e-05 4.9e-02 8.6e-04 1.00e+00 1.663998947e+02 1.664323489e+02 7.3e-09 0.35
31 1.2e-05 4.5e-02 7.7e-04 1.00e+00 1.664021272e+02 1.664313319e+02 6.5e-09 0.36
32 1.0e-05 4.1e-02 7.0e-04 1.00e+00 1.664041337e+02 1.664304145e+02 5.9e-09 0.37
33 9.4e-06 3.8e-02 6.3e-04 1.00e+00 1.664059371e+02 1.664295872e+02 5.3e-09 0.38
34 8.5e-06 3.5e-02 5.6e-04 1.00e+00 1.664075581e+02 1.664288409e+02 4.8e-09 0.39
35 7.7e-06 3.2e-02 5.1e-04 1.00e+00 1.664090153e+02 1.664281681e+02 4.3e-09 0.41
36 6.9e-06 3.0e-02 4.6e-04 1.00e+00 1.664103253e+02 1.664275614e+02 3.9e-09 0.43
37 6.2e-06 2.8e-02 4.1e-04 1.00e+00 1.664115031e+02 1.664270145e+02 3.5e-09 0.44
38 5.6e-06 2.6e-02 3.7e-04 1.00e+00 1.664125621e+02 1.664265214e+02 3.1e-09 0.45
39 5.0e-06 2.4e-02 3.3e-04 1.00e+00 1.664135143e+02 1.664260770e+02 2.8e-09 0.47
40 4.5e-06 2.2e-02 3.0e-04 1.00e+00 1.664143706e+02 1.664256765e+02 2.5e-09 0.48
41 4.1e-06 2.1e-02 2.7e-04 1.00e+00 1.664151406e+02 1.664253154e+02 2.3e-09 0.49
42 3.7e-06 2.0e-02 2.4e-04 1.00e+00 1.664158330e+02 1.664249900e+02 2.1e-09 0.50
43 3.3e-06 1.8e-02 2.2e-04 1.00e+00 1.664164557e+02 1.664246966e+02 1.8e-09 0.51
44 3.0e-06 1.7e-02 2.0e-04 1.00e+00 1.664170157e+02 1.664244323e+02 1.7e-09 0.52
45 2.7e-06 1.6e-02 1.8e-04 1.00e+00 1.664175193e+02 1.664241941e+02 1.5e-09 0.53
46 2.4e-06 1.5e-02 1.6e-04 1.00e+00 1.664179722e+02 1.664239794e+02 1.3e-09 0.54
47 2.2e-06 1.5e-02 1.4e-04 1.00e+00 1.664183797e+02 1.664237861e+02 1.2e-09 0.55
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664187463e+02 1.664236119e+02 1.1e-09 0.55
49 1.8e-06 1.3e-02 1.2e-04 1.00e+00 1.664190761e+02 1.664234551e+02 9.8e-10 0.56
50 1.6e-06 1.3e-02 1.0e-04 1.00e+00 1.664193728e+02 1.664233138e+02 8.8e-10 0.57
51 1.4e-06 1.2e-02 9.4e-05 1.00e+00 1.664196397e+02 1.664231866e+02 8.0e-10 0.58
52 1.3e-06 1.2e-02 8.5e-05 1.00e+00 1.664198799e+02 1.664230721e+02 7.2e-10 0.59
53 1.1e-06 1.1e-02 7.6e-05 1.00e+00 1.664200959e+02 1.664229689e+02 6.4e-10 0.60
54 1.0e-06 1.1e-02 6.9e-05 1.00e+00 1.664202903e+02 1.664228760e+02 5.8e-10 0.61
55 9.3e-07 1.1e-02 6.2e-05 1.00e+00 1.664204652e+02 1.664227923e+02 5.2e-10 0.62
56 8.4e-07 1.0e-02 5.6e-05 1.00e+00 1.664206226e+02 1.664227169e+02 4.7e-10 0.63
57 7.5e-07 1.0e-02 5.0e-05 1.00e+00 1.664207641e+02 1.664226491e+02 4.2e-10 0.64
58 6.8e-07 9.9e-03 4.5e-05 1.00e+00 1.664208915e+02 1.664225880e+02 3.8e-10 0.65
59 6.1e-07 9.7e-03 4.1e-05 1.00e+00 1.664210061e+02 1.664225329e+02 3.4e-10 0.66
60 5.5e-07 9.5e-03 3.6e-05 1.00e+00 1.664211091e+02 1.664224833e+02 3.1e-10 0.67
61 4.9e-07 9.3e-03 3.3e-05 1.00e+00 1.664212019e+02 1.664224386e+02 2.8e-10 0.68
62 4.4e-07 9.1e-03 3.0e-05 1.00e+00 1.664212853e+02 1.664223983e+02 2.5e-10 0.69
63 4.0e-07 9.0e-03 2.7e-05 9.99e-01 1.664213603e+02 1.664223621e+02 2.2e-10 0.70
64 3.6e-07 8.8e-03 2.4e-05 9.96e-01 1.664214277e+02 1.664223295e+02 2.0e-10 0.72
65 3.2e-07 8.7e-03 2.2e-05 1.00e+00 1.664214884e+02 1.664223000e+02 1.8e-10 0.73
66 2.9e-07 8.6e-03 1.9e-05 1.00e+00 1.664215431e+02 1.664222735e+02 1.6e-10 0.74
67 2.6e-07 8.5e-03 1.7e-05 1.00e+00 1.664215922e+02 1.664222496e+02 1.5e-10 0.75
68 2.4e-07 8.4e-03 1.6e-05 1.00e+00 1.664216365e+02 1.664222280e+02 1.3e-10 0.76
69 2.1e-07 8.4e-03 1.4e-05 1.01e+00 1.664216766e+02 1.664222084e+02 1.2e-10 0.77
70 1.9e-07 8.3e-03 1.3e-05 9.94e-01 1.664217124e+02 1.664221911e+02 1.1e-10 0.78
71 1.7e-07 8.2e-03 1.1e-05 9.99e-01 1.664217445e+02 1.664221754e+02 9.7e-11 0.79
72 1.6e-07 8.2e-03 1.0e-05 1.00e+00 1.664217736e+02 1.664221612e+02 8.7e-11 0.80
73 1.4e-07 8.1e-03 9.3e-06 9.99e-01 1.664217996e+02 1.664221485e+02 7.8e-11 0.81
74 1.3e-07 8.0e-03 8.3e-06 9.99e-01 1.664218231e+02 1.664221371e+02 7.1e-11 0.82
75 1.1e-07 8.0e-03 7.5e-06 1.00e+00 1.664218442e+02 1.664221268e+02 6.4e-11 0.83
76 1.0e-07 7.2e-03 6.8e-06 1.01e+00 1.664218636e+02 1.664221173e+02 5.7e-11 0.84
77 9.2e-08 6.5e-03 6.1e-06 9.96e-01 1.664218806e+02 1.664221090e+02 5.2e-11 0.85
78 8.2e-08 5.8e-03 5.5e-06 9.92e-01 1.664218960e+02 1.664221016e+02 4.6e-11 0.86
79 7.4e-08 5.2e-03 4.9e-06 9.96e-01 1.664219098e+02 1.664220949e+02 4.2e-11 0.87
80 6.7e-08 4.7e-03 4.4e-06 1.00e+00 1.664219222e+02 1.664220888e+02 3.8e-11 0.88
81 6.0e-08 4.2e-03 4.0e-06 1.01e+00 1.664219339e+02 1.664220830e+02 3.4e-11 0.89
82 5.4e-08 3.8e-03 3.6e-06 1.01e+00 1.664219443e+02 1.664220779e+02 3.1e-11 0.90
83 4.9e-08 3.4e-03 3.2e-06 9.70e-01 1.664219532e+02 1.664220736e+02 2.8e-11 0.91
84 4.4e-08 3.1e-03 2.9e-06 1.00e+00 1.664219613e+02 1.664220697e+02 2.5e-11 0.92
85 3.9e-08 2.8e-03 2.6e-06 9.95e-01 1.664219686e+02 1.664220662e+02 2.2e-11 0.94
86 3.6e-08 2.5e-03 2.4e-06 1.01e+00 1.664219755e+02 1.664220627e+02 2.0e-11 0.95
87 3.2e-08 2.3e-03 2.1e-06 1.00e+00 1.664219813e+02 1.664220599e+02 1.8e-11 0.95
88 2.9e-08 2.0e-03 1.9e-06 1.01e+00 1.664219869e+02 1.664220571e+02 1.7e-11 0.96
89 2.6e-08 1.8e-03 1.7e-06 9.93e-01 1.664219916e+02 1.664220548e+02 1.5e-11 0.97
90 2.3e-08 1.6e-03 1.5e-06 9.89e-01 1.664219958e+02 1.664220528e+02 1.3e-11 0.98
91 2.1e-08 1.5e-03 1.4e-06 1.02e+00 1.664220000e+02 1.664220507e+02 1.2e-11 0.99
92 1.9e-08 1.3e-03 1.3e-06 9.95e-01 1.664220034e+02 1.664220491e+02 1.1e-11 1.00
93 1.7e-08 1.2e-03 1.1e-06 1.05e+00 1.664220071e+02 1.664220472e+02 1.0e-11 1.01
94 1.5e-08 1.1e-03 1.0e-06 1.01e+00 1.664220098e+02 1.664220458e+02 9.1e-12 1.02
95 1.4e-08 9.7e-04 9.1e-07 1.04e+00 1.664220127e+02 1.664220444e+02 8.3e-12 1.03
96 1.2e-08 8.7e-04 8.2e-07 1.03e+00 1.664220151e+02 1.664220432e+02 7.6e-12 1.04
97 1.1e-08 7.9e-04 7.4e-07 1.02e+00 1.664220172e+02 1.664220422e+02 6.9e-12 1.05
98 1.0e-08 7.1e-04 6.7e-07 1.06e+00 1.664220193e+02 1.664220411e+02 6.4e-12 1.06
99 9.3e-09 6.4e-04 6.0e-07 1.15e+00 1.664220218e+02 1.664220398e+02 6.2e-12 1.07
100 8.5e-09 5.7e-04 5.4e-07 1.02e+00 1.664220232e+02 1.664220391e+02 5.6e-12 1.09
101 7.7e-09 5.2e-04 4.9e-07 1.06e+00 1.664220246e+02 1.664220384e+02 5.2e-12 1.10
102 6.9e-09 4.6e-04 4.4e-07 1.05e+00 1.664220257e+02 1.664220379e+02 4.8e-12 1.11
103 6.5e-09 4.2e-04 3.9e-07 1.15e+00 1.664220272e+02 1.664220372e+02 4.7e-12 1.12
104 5.4e-09 2.5e-05 2.4e-08 8.88e-01 1.664220338e+02 1.664220345e+02 5.0e-13 1.13
Interior-point optimizer terminated. Time: 1.13.
Optimizer terminated. Time: 1.14
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203384e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6642203447e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.16 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 926
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.02 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.01
Factor - nonzeros before factor : 1.64e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285332500e+05 2.000000000e+00 1.0e+00 0.03
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263506596e+05 3.573405681e+00 4.8e-01 0.04
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201229593e+05 1.024109371e+01 1.8e-01 0.05
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154146787e+05 6.438973978e+01 1.2e-01 0.06
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.128141987e+05 2.256492881e+03 1.2e-01 0.07
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.452169041e+04 9.623272564e+03 3.3e-02 0.08
6 3.0e+01 3.8e+01 1.7e+03 -1.92e-01 -4.039647167e+04 1.017307307e+04 1.3e-02 0.08
7 1.8e+01 2.3e+01 1.0e+03 3.96e-01 -2.710379284e+04 6.644061646e+03 7.9e-03 0.09
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.529783832e+04 3.811650350e+03 4.1e-03 0.11
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.370863784e+03 1.685457268e+03 1.5e-03 0.12
10 1.6e+00 2.1e+00 9.1e+01 9.54e-01 -2.488131809e+03 1.068014173e+03 7.3e-04 0.13
11 9.3e-01 1.2e+00 5.2e+01 9.86e-01 -1.337541049e+03 6.866603623e+02 4.1e-04 0.14
12 8.5e-01 1.1e+00 4.8e+01 9.60e-01 -1.253936708e+03 6.354893842e+02 3.8e-04 0.15
13 4.7e-01 6.1e-01 2.7e+01 9.77e-01 -6.373716109e+02 4.197189230e+02 2.1e-04 0.16
14 2.5e-01 3.3e-01 1.4e+01 1.00e+00 -2.541606452e+02 3.021278905e+02 1.1e-04 0.17
15 9.3e-02 1.5e-01 5.3e+00 1.00e+00 -3.965684561e+00 2.060661189e+02 4.3e-05 0.18
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.475371853e+01 2.084813064e+02 4.0e-05 0.19
17 6.0e-02 9.6e-02 3.4e+00 1.02e+00 6.117884969e+01 1.950767872e+02 2.8e-05 0.20
18 3.3e-02 7.2e-02 1.9e+00 1.02e+00 1.091854690e+02 1.824026404e+02 1.5e-05 0.21
19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.513704318e+02 1.718413911e+02 4.3e-06 0.23
20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602182895e+02 1.683899895e+02 1.7e-06 0.23
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642699929e+02 1.671903193e+02 6.2e-07 0.24
22 8.6e-04 1.0e-01 5.2e-02 9.84e-01 1.649681618e+02 1.669443998e+02 4.3e-07 0.25
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659690907e+02 1.665864861e+02 1.3e-07 0.26
24 9.4e-05 1.0e-01 6.1e-03 1.01e+00 1.662459029e+02 1.664756907e+02 5.1e-08 0.27
25 3.7e-05 9.5e-02 2.4e-03 1.01e+00 1.663440802e+02 1.664350962e+02 2.0e-08 0.28
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663785044e+02 1.664206579e+02 9.5e-09 0.29
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663820225e+02 1.664199767e+02 8.5e-09 0.30
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663846092e+02 1.664187606e+02 7.7e-09 0.31
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663869811e+02 1.664177120e+02 6.9e-09 0.32
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663891057e+02 1.664167590e+02 6.2e-09 0.33
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663910163e+02 1.664159007e+02 5.6e-09 0.33
32 9.1e-06 4.7e-02 5.9e-04 1.00e+00 1.663927336e+02 1.664151266e+02 5.0e-09 0.34
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663942774e+02 1.664144287e+02 4.5e-09 0.35
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663956653e+02 1.664137996e+02 4.1e-09 0.36
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969132e+02 1.664132324e+02 3.7e-09 0.37
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663980353e+02 1.664127213e+02 3.3e-09 0.38
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663990443e+02 1.664122606e+02 3.0e-09 0.39
38 4.8e-06 2.9e-02 3.2e-04 1.00e+00 1.663999517e+02 1.664118455e+02 2.7e-09 0.40
39 4.3e-06 2.6e-02 2.8e-04 1.00e+00 1.664007676e+02 1.664114715e+02 2.4e-09 0.41
40 3.9e-06 2.5e-02 2.6e-04 1.00e+00 1.664015014e+02 1.664111343e+02 2.2e-09 0.41
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664021613e+02 1.664108305e+02 2.0e-09 0.42
42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027548e+02 1.664105567e+02 1.8e-09 0.43
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664032886e+02 1.664103100e+02 1.6e-09 0.44
44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037686e+02 1.664100877e+02 1.4e-09 0.45
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042005e+02 1.664098874e+02 1.3e-09 0.46
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045890e+02 1.664097071e+02 1.2e-09 0.47
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049385e+02 1.664095447e+02 1.0e-09 0.48
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052529e+02 1.664093985e+02 9.4e-10 0.49
49 1.5e-06 1.4e-02 9.9e-05 1.00e+00 1.664055359e+02 1.664092668e+02 8.4e-10 0.50
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664057904e+02 1.664091482e+02 7.6e-10 0.51
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060194e+02 1.664090414e+02 6.8e-10 0.52
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062254e+02 1.664089452e+02 6.1e-10 0.53
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064108e+02 1.664088585e+02 5.5e-10 0.54
54 8.9e-07 1.2e-02 5.9e-05 1.00e+00 1.664065776e+02 1.664087805e+02 5.0e-10 0.55
55 8.0e-07 1.1e-02 5.3e-05 1.00e+00 1.664067277e+02 1.664087103e+02 4.5e-10 0.56
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068627e+02 1.664086471e+02 4.0e-10 0.57
57 6.5e-07 1.0e-02 4.3e-05 1.00e+00 1.664069841e+02 1.664085901e+02 3.6e-10 0.58
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664070934e+02 1.664085387e+02 3.3e-10 0.59
59 5.3e-07 9.9e-03 3.5e-05 1.00e+00 1.664071917e+02 1.664084925e+02 2.9e-10 0.60
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072801e+02 1.664084508e+02 2.6e-10 0.61
61 4.3e-07 9.5e-03 2.8e-05 9.99e-01 1.664073596e+02 1.664084133e+02 2.4e-10 0.62
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074311e+02 1.664083795e+02 2.1e-10 0.63
63 3.5e-07 9.1e-03 2.3e-05 1.00e+00 1.664074955e+02 1.664083490e+02 1.9e-10 0.64
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075534e+02 1.664083215e+02 1.7e-10 0.65
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076055e+02 1.664082967e+02 1.6e-10 0.66
66 2.5e-07 8.7e-03 1.7e-05 1.00e+00 1.664076523e+02 1.664082745e+02 1.4e-10 0.67
67 2.3e-07 8.6e-03 1.5e-05 9.99e-01 1.664076945e+02 1.664082544e+02 1.3e-10 0.68
68 2.0e-07 8.5e-03 1.3e-05 1.00e+00 1.664077324e+02 1.664082364e+02 1.1e-10 0.69
69 1.8e-07 8.4e-03 1.2e-05 1.00e+00 1.664077666e+02 1.664082201e+02 1.0e-10 0.69
70 1.7e-07 8.3e-03 1.1e-05 1.00e+00 1.664077973e+02 1.664082055e+02 9.2e-11 0.70
71 1.5e-07 8.2e-03 9.8e-06 1.00e+00 1.664078250e+02 1.664081923e+02 8.3e-11 0.71
72 1.3e-07 8.2e-03 8.8e-06 1.00e+00 1.664078498e+02 1.664081804e+02 7.5e-11 0.72
73 1.2e-07 8.1e-03 7.9e-06 1.00e+00 1.664078722e+02 1.664081697e+02 6.7e-11 0.73
74 1.1e-07 8.0e-03 7.1e-06 1.00e+00 1.664078924e+02 1.664081601e+02 6.1e-11 0.74
75 9.8e-08 8.0e-03 6.4e-06 9.98e-01 1.664079105e+02 1.664081514e+02 5.4e-11 0.75
76 8.8e-08 8.0e-03 5.8e-06 1.00e+00 1.664079269e+02 1.664081436e+02 4.9e-11 0.76
77 7.9e-08 7.9e-03 5.2e-06 1.00e+00 1.664079416e+02 1.664081366e+02 4.4e-11 0.77
78 7.1e-08 7.1e-03 4.7e-06 1.01e+00 1.664079552e+02 1.664081300e+02 4.0e-11 0.78
79 6.4e-08 6.4e-03 4.2e-06 1.00e+00 1.664079671e+02 1.664081244e+02 3.6e-11 0.79
80 5.8e-08 5.8e-03 3.8e-06 1.01e+00 1.664079781e+02 1.664081190e+02 3.2e-11 0.80
81 5.2e-08 5.2e-03 3.4e-06 1.00e+00 1.664079876e+02 1.664081145e+02 2.9e-11 0.81
82 4.7e-08 4.7e-03 3.1e-06 9.71e-01 1.664079962e+02 1.664081105e+02 2.6e-11 0.82
83 4.2e-08 4.2e-03 2.8e-06 9.86e-01 1.664080039e+02 1.664081069e+02 2.4e-11 0.83
84 3.8e-08 3.8e-03 2.5e-06 9.94e-01 1.664080109e+02 1.664081036e+02 2.1e-11 0.84
85 3.4e-08 3.4e-03 2.2e-06 1.00e+00 1.664080171e+02 1.664081005e+02 1.9e-11 0.85
86 3.1e-08 3.1e-03 2.0e-06 1.00e+00 1.664080228e+02 1.664080978e+02 1.7e-11 0.86
87 2.8e-08 2.8e-03 1.8e-06 9.90e-01 1.664080278e+02 1.664080954e+02 1.6e-11 0.87
88 2.5e-08 2.5e-03 1.6e-06 1.01e+00 1.664080325e+02 1.664080932e+02 1.4e-11 0.88
89 2.2e-08 2.2e-03 1.5e-06 1.00e+00 1.664080367e+02 1.664080912e+02 1.3e-11 0.88
90 2.0e-08 2.0e-03 1.3e-06 9.80e-01 1.664080403e+02 1.664080894e+02 1.1e-11 0.89
91 1.8e-08 1.8e-03 1.2e-06 1.05e+00 1.664080444e+02 1.664080874e+02 1.0e-11 0.90
92 1.6e-08 1.6e-03 1.1e-06 9.42e-01 1.664080473e+02 1.664080861e+02 9.4e-12 0.91
93 1.5e-08 1.5e-03 9.6e-07 9.94e-01 1.664080499e+02 1.664080848e+02 8.5e-12 0.92
94 1.3e-08 1.3e-03 8.7e-07 9.82e-01 1.664080522e+02 1.664080837e+02 7.6e-12 0.93
95 1.2e-08 1.2e-03 7.8e-07 8.73e-01 1.664080543e+02 1.664080828e+02 6.9e-12 0.94
96 1.1e-08 1.1e-03 7.0e-07 9.53e-01 1.664080562e+02 1.664080819e+02 6.2e-12 0.95
97 9.7e-09 9.6e-04 6.3e-07 9.61e-01 1.664080579e+02 1.664080811e+02 5.6e-12 0.95
98 8.7e-09 8.7e-04 5.7e-07 1.10e+00 1.664080602e+02 1.664080799e+02 5.3e-12 0.97
99 7.9e-09 7.8e-04 5.1e-07 9.73e-01 1.664080615e+02 1.664080793e+02 4.7e-12 0.98
100 7.1e-09 7.0e-04 4.6e-07 8.14e-01 1.664080627e+02 1.664080788e+02 4.3e-12 0.99
101 6.5e-09 6.3e-04 4.1e-07 9.36e-01 1.664080638e+02 1.664080783e+02 3.8e-12 1.00
102 6.0e-09 5.7e-04 3.7e-07 1.03e+00 1.664080649e+02 1.664080777e+02 3.5e-12 1.01
103 5.3e-09 5.1e-04 3.4e-07 1.15e+00 1.664080663e+02 1.664080769e+02 3.4e-12 1.02
104 4.8e-09 4.6e-04 3.0e-07 1.00e+00 1.664080670e+02 1.664080766e+02 3.1e-12 1.03
105 4.3e-09 4.1e-04 2.7e-07 1.40e+00 1.664080677e+02 1.664080762e+02 2.7e-12 1.05
106 4.2e-09 3.7e-04 2.4e-07 1.19e+00 1.664080688e+02 1.664080756e+02 2.7e-12 1.06
107 3.8e-09 3.4e-04 2.2e-07 9.38e-01 1.664080693e+02 1.664080754e+02 2.4e-12 1.07
108 3.5e-09 3.0e-04 2.0e-07 9.65e-01 1.664080697e+02 1.664080752e+02 2.2e-12 1.08
109 3.2e-09 2.7e-04 1.8e-07 9.12e-01 1.664080701e+02 1.664080750e+02 2.0e-12 1.09
110 2.8e-09 2.4e-04 1.6e-07 9.83e-01 1.664080704e+02 1.664080749e+02 1.8e-12 1.10
111 2.5e-09 2.2e-04 1.4e-07 6.83e-01 1.664080707e+02 1.664080748e+02 1.6e-12 1.11
112 2.5e-09 2.2e-04 1.4e-07 1.19e+00 1.664080707e+02 1.664080748e+02 1.6e-12 1.12
113 2.3e-09 2.0e-04 1.3e-07 8.92e-01 1.664080710e+02 1.664080747e+02 1.4e-12 1.12
114 2.1e-09 2.3e-05 1.5e-08 8.05e-01 1.664080733e+02 1.664080738e+02 2.7e-13 1.13
Interior-point optimizer terminated. Time: 1.13.
Optimizer terminated. Time: 1.14
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807330e+02 Viol. con: 5e-08 var: 0e+00
Dual. obj: 1.6640807376e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.16 seconds.
Solving took 9 GP solves and 22.7 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: 1.4957399731793823e+110 vs 1.49570403758e+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: 3.7053683743282385e+72 vs 3.7052230759e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682507]
Total Aircraft Weight Percent Diff: [-21.48057074]
Engine Weight Percent Diff: -56.278269682727576
Fuselage Weight Percent Diff: -0.8697422594041416
Payload Weight Percent Diff: [-0.04003561]
VT Weight Percent Diff: -8.607971133179369
HT Weight Percent Diff: -93.2333108227619
Wing Weight Percent Diff: 8.267507364893543
WING DIFFERENCES
Wing Span Percent Diff: -0.029992632045113196
Wing Area Percent Diff: 32.89978501520265
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.488718371550675
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022356626056332
VT Area Percent Diff: -60.386850054370335
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54719777]
L/D Percent Diff: [24.01023158]
Nacelle Cd Percent Diff: [-94.27641928]
HT Cd Percent Diff: [-80.76941004] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00295673] dimensionless
Wing Cd percent Diff: [-14.22914643]
Induced Drag Cd Percent Diff: [1.21947281]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035847]
FUSELAGE DIFFERENCES
Weight of HB material: -38.3611353447633
Weight of VB material: 87.81566532703015
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260517]
Mission1
========
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission1.Aircraft.Wing.WingBox.N_{lift} = 3
Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission1.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission1.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*Mission1.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission1.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission1.Aircraft.Wing.WingBox.r_{w/c} = Mission1.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission1.Aircraft.Fuselage.N_{lift} = Mission1.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission1.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission1.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission1.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission1.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 936
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 936
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 769
Optimizer - Cones : 0
Optimizer - Scalar variables : 3438 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280976207e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.3e+04 -9.71e-01 -1.260360597e+05 3.611424052e+00 4.9e-01 0.05
2 4.1e+02 5.3e+02 2.3e+04 -9.38e-01 -1.195206719e+05 1.063331153e+01 1.8e-01 0.06
3 2.9e+02 3.7e+02 1.6e+04 -8.34e-01 -1.151942168e+05 6.795829655e+01 1.3e-01 0.07
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127212826e+05 2.109723808e+03 1.3e-01 0.08
5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.071413615e+04 8.411072422e+03 3.9e-02 0.09
6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.787028059e+04 1.016025756e+04 1.6e-02 0.09
7 2.1e+01 2.8e+01 1.2e+03 2.52e-01 -3.173778936e+04 7.155034269e+03 9.5e-03 0.10
8 9.4e+00 1.2e+01 5.3e+02 5.36e-01 -1.511150083e+04 4.167123567e+03 4.2e-03 0.11
9 5.5e+00 7.1e+00 3.1e+02 8.14e-01 -8.836155418e+03 2.832992813e+03 2.5e-03 0.12
10 1.3e+00 1.7e+00 7.6e+01 9.07e-01 -2.021517100e+03 9.278094940e+02 6.1e-04 0.13
11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.292899266e+02 7.204982019e+02 3.2e-04 0.14
12 4.7e-01 6.1e-01 2.7e+01 9.97e-01 -4.810408396e+02 5.632816117e+02 2.1e-04 0.15
13 3.5e-01 7.3e-01 2.0e+01 9.79e-01 -3.119899248e+02 4.857188935e+02 1.6e-04 0.16
14 1.7e-01 3.5e-01 9.8e+00 9.96e-01 -1.727746611e+01 3.656933383e+02 7.9e-05 0.17
15 5.5e-02 1.5e-01 3.2e+00 9.94e-01 1.624902967e+02 2.901499707e+02 2.7e-05 0.18
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 1.999027139e+02 2.746125040e+02 1.6e-05 0.19
17 5.1e-03 1.8e-01 3.2e-01 1.00e+00 2.445305033e+02 2.572371524e+02 2.8e-06 0.19
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509424510e+02 2.546897023e+02 8.3e-07 0.20
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527845502e+02 2.540210950e+02 2.8e-07 0.21
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532880856e+02 2.538352203e+02 1.2e-07 0.22
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533292209e+02 2.538216573e+02 1.1e-07 0.23
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533650962e+02 2.538082643e+02 1.0e-07 0.24
23 1.5e-04 6.4e-02 1.0e-02 1.00e+00 2.533974267e+02 2.537962616e+02 9.0e-08 0.25
24 1.4e-04 5.9e-02 9.2e-03 1.00e+00 2.534264980e+02 2.537854354e+02 8.1e-08 0.26
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534526435e+02 2.537756756e+02 7.3e-08 0.26
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534761571e+02 2.537668763e+02 6.5e-08 0.27
27 1.0e-04 4.5e-02 6.7e-03 1.00e+00 2.534973060e+02 2.537589453e+02 5.9e-08 0.28
28 9.0e-05 4.1e-02 6.1e-03 1.00e+00 2.535163290e+02 2.537517977e+02 5.3e-08 0.29
29 8.1e-05 3.8e-02 5.4e-03 1.00e+00 2.535334405e+02 2.537453571e+02 4.8e-08 0.30
30 7.3e-05 3.5e-02 4.9e-03 1.00e+00 2.535488335e+02 2.537395540e+02 4.3e-08 0.90
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535626808e+02 2.537343259e+02 3.9e-08 1.15
32 5.9e-05 3.0e-02 4.0e-03 1.00e+00 2.535751383e+02 2.537296160e+02 3.5e-08 1.24
33 5.3e-05 2.7e-02 3.6e-03 1.00e+00 2.535863455e+02 2.537253733e+02 3.1e-08 1.26
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535964283e+02 2.537215515e+02 2.8e-08 1.28
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536054996e+02 2.537181092e+02 2.5e-08 1.29
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536136611e+02 2.537150086e+02 2.3e-08 1.33
37 3.5e-05 2.0e-02 2.3e-03 1.00e+00 2.536210042e+02 2.537122161e+02 2.1e-08 1.35
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276109e+02 2.537097011e+02 1.9e-08 1.37
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536335554e+02 2.537074360e+02 1.7e-08 1.42
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389040e+02 2.537053963e+02 1.5e-08 1.52
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 1.54
43 1.9e-05 1.4e-02 1.2e-03 1.00e+00 2.536519435e+02 2.537004159e+02 1.1e-08 1.56
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554497e+02 2.536990748e+02 9.8e-09 1.59
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586047e+02 2.536978672e+02 8.9e-09 1.60
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614438e+02 2.536967801e+02 8.0e-09 1.61
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536639986e+02 2.536958012e+02 7.2e-09 1.62
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536662977e+02 2.536949200e+02 6.5e-09 1.63
49 9.9e-06 1.1e-02 6.6e-04 1.00e+00 2.536683666e+02 2.536941267e+02 5.8e-09 1.65
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536702284e+02 2.536934125e+02 5.2e-09 1.66
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536719039e+02 2.536927696e+02 4.7e-09 1.67
52 7.2e-06 1.0e-02 4.8e-04 1.00e+00 2.536734116e+02 2.536921909e+02 4.2e-09 1.68
53 6.5e-06 9.9e-03 4.3e-04 1.00e+00 2.536747686e+02 2.536916699e+02 3.8e-09 1.69
54 5.8e-06 9.6e-03 3.9e-04 1.00e+00 2.536759897e+02 2.536912009e+02 3.4e-09 1.71
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770886e+02 2.536907787e+02 3.1e-09 1.72
56 4.7e-06 9.2e-03 3.2e-04 1.00e+00 2.536780776e+02 2.536903987e+02 2.8e-09 1.73
57 4.3e-06 9.0e-03 2.9e-04 1.00e+00 2.536789676e+02 2.536900566e+02 2.5e-09 1.74
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797686e+02 2.536897487e+02 2.3e-09 1.75
59 3.4e-06 8.7e-03 2.3e-04 1.00e+00 2.536804894e+02 2.536894716e+02 2.0e-09 1.76
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811381e+02 2.536892221e+02 1.8e-09 1.78
61 1.2e-06 3.3e-03 8.1e-05 1.00e+00 2.536846983e+02 2.536878513e+02 7.1e-10 1.79
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849266e+02 2.536877642e+02 6.4e-10 1.80
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862390e+02 2.536872586e+02 2.3e-10 1.81
64 3.5e-07 9.7e-04 2.4e-05 1.00e+00 2.536863127e+02 2.536872303e+02 2.1e-10 1.82
65 3.2e-07 8.8e-04 2.1e-05 9.99e-01 2.536863788e+02 2.536872048e+02 1.9e-10 1.83
66 2.8e-07 7.9e-04 1.9e-05 1.00e+00 2.536864384e+02 2.536871818e+02 1.7e-10 1.84
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864921e+02 2.536871611e+02 1.5e-10 1.86
68 2.3e-07 6.4e-04 1.5e-05 1.00e+00 2.536865404e+02 2.536871424e+02 1.4e-10 1.87
69 2.1e-07 5.7e-04 1.4e-05 9.99e-01 2.536865838e+02 2.536871257e+02 1.2e-10 1.88
70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866229e+02 2.536871106e+02 1.1e-10 1.89
71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866581e+02 2.536870970e+02 9.9e-11 1.90
72 1.5e-07 4.2e-04 1.0e-05 9.99e-01 2.536866897e+02 2.536870848e+02 8.9e-11 1.91
73 1.4e-07 3.8e-04 9.1e-06 9.99e-01 2.536867182e+02 2.536870738e+02 8.0e-11 1.92
74 1.2e-07 3.4e-04 8.2e-06 1.00e+00 2.536867439e+02 2.536870639e+02 7.2e-11 1.94
75 1.1e-07 3.1e-04 7.4e-06 1.00e+00 2.536867671e+02 2.536870549e+02 6.5e-11 1.95
76 9.9e-08 2.7e-04 6.7e-06 1.00e+00 2.536867879e+02 2.536870469e+02 5.8e-11 1.96
77 8.9e-08 2.5e-04 6.0e-06 9.99e-01 2.536868065e+02 2.536870397e+02 5.3e-11 1.97
78 8.0e-08 2.2e-04 5.4e-06 9.99e-01 2.536868234e+02 2.536870332e+02 4.7e-11 1.98
79 7.2e-08 2.0e-04 4.9e-06 1.00e+00 2.536868385e+02 2.536870273e+02 4.3e-11 1.99
80 6.5e-08 1.8e-04 4.4e-06 1.00e+00 2.536868522e+02 2.536870220e+02 3.8e-11 2.00
81 5.9e-08 1.6e-04 3.9e-06 1.00e+00 2.536868645e+02 2.536870172e+02 3.5e-11 2.01
82 5.3e-08 1.5e-04 3.5e-06 9.95e-01 2.536868756e+02 2.536870130e+02 3.1e-11 2.02
83 4.8e-08 1.3e-04 3.2e-06 1.00e+00 2.536868855e+02 2.536870092e+02 2.8e-11 2.03
84 4.3e-08 1.2e-04 2.9e-06 1.00e+00 2.536868944e+02 2.536870057e+02 2.5e-11 2.04
85 3.8e-08 1.1e-04 2.6e-06 9.96e-01 2.536869024e+02 2.536870026e+02 2.3e-11 2.05
86 3.5e-08 9.6e-05 2.3e-06 1.00e+00 2.536869097e+02 2.536869998e+02 2.0e-11 2.06
87 3.1e-08 8.6e-05 2.1e-06 1.00e+00 2.536869162e+02 2.536869973e+02 1.8e-11 2.07
88 2.8e-08 7.8e-05 1.9e-06 9.97e-01 2.536869221e+02 2.536869950e+02 1.7e-11 2.09
89 2.5e-08 7.0e-05 1.7e-06 9.95e-01 2.536869273e+02 2.536869930e+02 1.5e-11 2.10
90 2.3e-08 6.3e-05 1.5e-06 9.99e-01 2.536869321e+02 2.536869912e+02 1.3e-11 2.10
91 2.0e-08 5.7e-05 1.4e-06 9.89e-01 2.536869363e+02 2.536869895e+02 1.2e-11 2.11
92 1.8e-08 5.1e-05 1.2e-06 9.92e-01 2.536869401e+02 2.536869881e+02 1.1e-11 2.13
93 1.7e-08 4.6e-05 1.1e-06 9.92e-01 2.536869436e+02 2.536869867e+02 9.8e-12 2.14
94 1.5e-08 4.1e-05 1.0e-06 9.98e-01 2.536869467e+02 2.536869855e+02 8.8e-12 2.15
95 1.3e-08 3.7e-05 9.0e-07 1.00e+00 2.536869495e+02 2.536869844e+02 7.9e-12 2.16
96 1.2e-08 3.3e-05 8.1e-07 1.00e+00 2.536869520e+02 2.536869834e+02 7.1e-12 2.17
97 1.1e-08 3.0e-05 7.3e-07 1.01e+00 2.536869544e+02 2.536869825e+02 6.4e-12 2.19
98 9.8e-09 2.7e-05 6.6e-07 9.82e-01 2.536869564e+02 2.536869818e+02 5.8e-12 2.20
Interior-point optimizer terminated. Time: 2.20.
Optimizer terminated. Time: 2.21
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695638e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698176e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 2.22 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281787446e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.259414228e+05 3.780941016e+00 4.7e-01 0.11
2 4.6e+02 5.9e+02 2.6e+04 -9.35e-01 -1.205918795e+05 9.868922467e+00 2.0e-01 0.13
3 2.9e+02 3.7e+02 1.6e+04 -8.50e-01 -1.154239527e+05 5.250197664e+01 1.3e-01 0.14
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.133019475e+05 1.862130071e+03 1.3e-01 0.15
5 8.3e+01 1.1e+02 4.6e+03 -7.57e-01 -7.812142136e+04 9.031239864e+03 3.6e-02 0.16
6 3.6e+01 4.6e+01 2.0e+03 -2.53e-01 -4.675648653e+04 1.010078035e+04 1.6e-02 0.17
7 1.9e+01 2.4e+01 1.0e+03 2.76e-01 -2.801894261e+04 6.402312745e+03 8.2e-03 0.18
8 9.2e+00 1.2e+01 5.1e+02 6.02e-01 -1.471216468e+04 4.005088039e+03 4.0e-03 0.19
9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.206578090e+03 2.776623768e+03 2.5e-03 0.20
10 1.9e+00 2.4e+00 1.1e+02 9.02e-01 -2.967188618e+03 1.150549015e+03 8.4e-04 0.21
11 1.6e+00 2.0e+00 8.8e+01 9.75e-01 -2.411824381e+03 1.013250340e+03 7.0e-04 0.21
12 1.0e+00 1.4e+00 5.6e+01 9.78e-01 -1.467425971e+03 7.220755952e+02 4.4e-04 0.22
13 4.6e-01 6.8e-01 2.6e+01 9.83e-01 -5.896885501e+02 4.319682083e+02 2.1e-04 0.24
14 2.5e-01 3.8e-01 1.4e+01 1.00e+00 -2.320841014e+02 3.288888009e+02 1.1e-04 0.25
15 1.0e-01 1.6e-01 5.7e+00 1.00e+00 1.044649411e+01 2.360029645e+02 4.6e-05 0.26
16 4.7e-02 1.0e-01 2.7e+00 1.00e+00 9.574897288e+01 2.020284473e+02 2.2e-05 0.26
17 1.0e-02 1.4e-01 6.2e-01 1.01e+00 1.548431096e+02 1.790677327e+02 5.2e-06 0.27
18 6.3e-03 1.0e-01 3.9e-01 1.01e+00 1.614292052e+02 1.765011118e+02 3.2e-06 0.28
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.695627731e+02 1.734405850e+02 8.5e-07 0.30
20 3.4e-04 1.4e-01 2.2e-02 1.01e+00 1.717721238e+02 1.726293360e+02 1.9e-07 0.31
21 1.4e-04 1.0e-01 9.5e-03 9.94e-01 1.721372137e+02 1.725037899e+02 8.3e-08 0.32
22 8.9e-05 8.2e-02 6.0e-03 1.00e+00 1.722347054e+02 1.724653290e+02 5.2e-08 0.33
23 8.0e-05 7.6e-02 5.4e-03 1.00e+00 1.722527902e+02 1.724604211e+02 4.7e-08 0.34
24 7.2e-05 6.9e-02 4.8e-03 1.00e+00 1.722680410e+02 1.724549096e+02 4.2e-08 0.35
25 6.5e-05 6.3e-02 4.3e-03 1.00e+00 1.722818157e+02 1.724499965e+02 3.8e-08 0.36
26 5.9e-05 5.7e-02 3.9e-03 1.00e+00 1.722941841e+02 1.724455454e+02 3.4e-08 0.37
27 5.3e-05 5.2e-02 3.5e-03 1.00e+00 1.723053031e+02 1.724415267e+02 3.1e-08 0.38
28 4.7e-05 4.8e-02 3.2e-03 1.00e+00 1.723152952e+02 1.724378949e+02 2.8e-08 0.39
29 4.3e-05 4.4e-02 2.8e-03 1.00e+00 1.723242745e+02 1.724346128e+02 2.5e-08 0.39
30 3.8e-05 4.0e-02 2.6e-03 1.00e+00 1.723323435e+02 1.724316467e+02 2.2e-08 0.40
31 3.5e-05 3.7e-02 2.3e-03 1.00e+00 1.723395948e+02 1.724289666e+02 2.0e-08 0.41
32 3.1e-05 3.4e-02 2.1e-03 1.00e+00 1.723461117e+02 1.724265455e+02 1.8e-08 0.42
33 2.8e-05 3.2e-02 1.9e-03 1.00e+00 1.723519694e+02 1.724243590e+02 1.6e-08 0.43
34 2.5e-05 2.9e-02 1.7e-03 1.00e+00 1.723572349e+02 1.724223850e+02 1.5e-08 0.44
35 2.3e-05 2.7e-02 1.5e-03 1.00e+00 1.723619688e+02 1.724206035e+02 1.3e-08 0.45
36 2.0e-05 2.5e-02 1.4e-03 1.00e+00 1.723662252e+02 1.724189960e+02 1.2e-08 0.46
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723700524e+02 1.724175459e+02 1.1e-08 0.47
38 1.7e-05 2.2e-02 1.1e-03 1.00e+00 1.723734941e+02 1.724162380e+02 9.7e-09 0.48
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723765892e+02 1.724150587e+02 8.7e-09 0.48
40 1.3e-05 1.9e-02 8.9e-04 1.00e+00 1.723793729e+02 1.724139953e+02 7.8e-09 0.49
41 1.2e-05 1.8e-02 8.0e-04 1.00e+00 1.723818765e+02 1.724130367e+02 7.1e-09 0.50
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723841284e+02 1.724121725e+02 6.4e-09 0.51
43 9.8e-06 1.6e-02 6.5e-04 1.00e+00 1.723861540e+02 1.724113937e+02 5.7e-09 0.52
44 8.8e-06 1.5e-02 5.9e-04 1.00e+00 1.723879760e+02 1.724106917e+02 5.1e-09 0.53
45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723896150e+02 1.724100592e+02 4.6e-09 0.54
46 7.1e-06 1.4e-02 4.8e-04 1.00e+00 1.723910894e+02 1.724094893e+02 4.2e-09 0.54
47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723924159e+02 1.724089758e+02 3.8e-09 0.55
48 5.8e-06 1.3e-02 3.9e-04 1.00e+00 1.723936092e+02 1.724085131e+02 3.4e-09 0.56
49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723946827e+02 1.724080963e+02 3.0e-09 0.57
50 4.7e-06 1.2e-02 3.1e-04 1.00e+00 1.723956486e+02 1.724077209e+02 2.7e-09 0.58
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723965177e+02 1.724073828e+02 2.5e-09 0.59
52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723972995e+02 1.724070782e+02 2.2e-09 0.60
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980030e+02 1.724068039e+02 2.0e-09 0.61
54 3.1e-06 1.0e-02 2.0e-04 1.00e+00 1.723986360e+02 1.724065568e+02 1.8e-09 0.61
55 2.8e-06 1.0e-02 1.8e-04 1.00e+00 1.723992056e+02 1.724063343e+02 1.6e-09 0.62
56 2.5e-06 9.7e-03 1.7e-04 1.00e+00 1.723997181e+02 1.724061340e+02 1.5e-09 0.63
57 2.2e-06 9.5e-03 1.5e-04 1.00e+00 1.724001792e+02 1.724059536e+02 1.3e-09 0.64
58 2.0e-06 9.3e-03 1.3e-04 1.00e+00 1.724005941e+02 1.724057911e+02 1.2e-09 0.65
59 1.8e-06 9.1e-03 1.2e-04 1.00e+00 1.724009675e+02 1.724056448e+02 1.1e-09 0.66
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013035e+02 1.724055131e+02 9.5e-10 0.67
61 1.5e-06 8.8e-03 9.8e-05 1.00e+00 1.724016058e+02 1.724053945e+02 8.6e-10 0.68
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724018779e+02 1.724052877e+02 7.7e-10 0.69
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021227e+02 1.724051915e+02 7.0e-10 0.70
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023430e+02 1.724051049e+02 6.3e-10 0.71
65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025412e+02 1.724050270e+02 5.6e-10 0.72
66 8.7e-07 8.3e-03 5.8e-05 1.00e+00 1.724027196e+02 1.724049568e+02 5.1e-10 0.73
67 7.8e-07 8.2e-03 5.2e-05 1.00e+00 1.724028801e+02 1.724048936e+02 4.6e-10 0.75
68 7.0e-07 8.1e-03 4.7e-05 1.00e+00 1.724030245e+02 1.724048367e+02 4.1e-10 0.75
69 6.3e-07 8.0e-03 4.2e-05 1.00e+00 1.724031545e+02 1.724047855e+02 3.7e-10 0.76
70 5.7e-07 8.0e-03 3.8e-05 1.00e+00 1.724032715e+02 1.724047394e+02 3.3e-10 0.77
71 5.1e-07 7.9e-03 3.4e-05 1.00e+00 1.724033767e+02 1.724046978e+02 3.0e-10 0.78
72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034715e+02 1.724046605e+02 2.7e-10 0.79
73 4.1e-07 7.8e-03 2.8e-05 1.00e+00 1.724035567e+02 1.724046268e+02 2.4e-10 0.80
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036334e+02 1.724045965e+02 2.2e-10 0.81
75 3.4e-07 7.7e-03 2.2e-05 1.00e+00 1.724037024e+02 1.724045692e+02 2.0e-10 0.82
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037645e+02 1.724045447e+02 1.8e-10 0.82
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038204e+02 1.724045226e+02 1.6e-10 0.83
78 2.4e-07 7.6e-03 1.6e-05 1.00e+00 1.724038707e+02 1.724045026e+02 1.4e-10 0.85
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039160e+02 1.724044847e+02 1.3e-10 0.86
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039567e+02 1.724044686e+02 1.2e-10 0.87
81 1.8e-07 7.5e-03 1.2e-05 1.00e+00 1.724039934e+02 1.724044541e+02 1.0e-10 0.88
82 1.6e-07 7.5e-03 1.1e-05 1.00e+00 1.724040264e+02 1.724044410e+02 9.4e-11 0.89
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040561e+02 1.724044292e+02 8.5e-11 0.90
84 1.3e-07 7.5e-03 8.7e-06 1.00e+00 1.724040828e+02 1.724044186e+02 7.6e-11 0.91
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041068e+02 1.724044091e+02 6.9e-11 0.93
86 1.1e-07 7.4e-03 7.0e-06 1.00e+00 1.724041285e+02 1.724044005e+02 6.2e-11 0.94
87 9.5e-08 7.4e-03 6.3e-06 1.00e+00 1.724041479e+02 1.724043927e+02 5.6e-11 0.95
88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041654e+02 1.724043858e+02 5.0e-11 0.96
89 7.7e-08 7.4e-03 5.1e-06 1.00e+00 1.724041812e+02 1.724043795e+02 4.5e-11 0.97
90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041954e+02 1.724043739e+02 4.0e-11 0.98
91 6.2e-08 7.4e-03 4.2e-06 1.00e+00 1.724042082e+02 1.724043688e+02 3.6e-11 0.99
92 5.6e-08 7.3e-03 3.7e-06 1.00e+00 1.724042196e+02 1.724043642e+02 3.3e-11 1.01
93 5.0e-08 7.3e-03 3.4e-06 1.00e+00 1.724042300e+02 1.724043601e+02 3.0e-11 1.02
94 4.5e-08 7.3e-03 3.0e-06 1.00e+00 1.724042393e+02 1.724043564e+02 2.7e-11 1.03
95 4.1e-08 7.3e-03 2.7e-06 1.00e+00 1.724042477e+02 1.724043531e+02 2.4e-11 1.04
96 3.7e-08 7.3e-03 2.5e-06 9.99e-01 1.724042552e+02 1.724043501e+02 2.2e-11 1.05
97 3.3e-08 6.6e-03 2.2e-06 1.00e+00 1.724042620e+02 1.724043473e+02 1.9e-11 1.06
98 3.0e-08 5.9e-03 2.0e-06 1.00e+00 1.724042681e+02 1.724043449e+02 1.7e-11 1.07
99 2.7e-08 5.3e-03 1.8e-06 1.00e+00 1.724042736e+02 1.724043427e+02 1.6e-11 1.08
100 2.4e-08 4.8e-03 1.6e-06 1.00e+00 1.724042786e+02 1.724043407e+02 1.4e-11 1.08
101 2.2e-08 4.3e-03 1.4e-06 9.99e-01 1.724042830e+02 1.724043390e+02 1.3e-11 1.09
102 2.0e-08 3.9e-03 1.3e-06 1.00e+00 1.724042870e+02 1.724043374e+02 1.1e-11 1.11
103 1.8e-08 3.5e-03 1.2e-06 1.00e+00 1.724042906e+02 1.724043359e+02 1.0e-11 1.12
104 1.6e-08 3.1e-03 1.1e-06 9.97e-01 1.724042938e+02 1.724043346e+02 9.3e-12 1.13
105 4.0e-09 7.8e-04 2.6e-07 1.00e+00 1.724043157e+02 1.724043259e+02 2.3e-12 1.14
106 3.6e-09 7.1e-04 2.4e-07 9.94e-01 1.724043164e+02 1.724043256e+02 2.1e-12 1.15
107 8.5e-10 1.5e-04 5.2e-08 9.96e-01 1.724043215e+02 1.724043235e+02 4.6e-13 1.16
Interior-point optimizer terminated. Time: 1.16.
Optimizer terminated. Time: 1.17
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432152e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432353e+02 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.19 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.284360412e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.262635404e+05 3.636950301e+00 4.8e-01 0.05
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203755997e+05 1.002096566e+01 1.9e-01 0.06
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.156270295e+05 5.939414526e+01 1.3e-01 0.07
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131819783e+05 2.127639797e+03 1.3e-01 0.09
5 8.1e+01 1.0e+02 4.5e+03 -7.56e-01 -7.750682716e+04 9.253683835e+03 3.6e-02 0.10
6 4.0e+01 5.2e+01 2.2e+03 -2.39e-01 -5.068254190e+04 1.003928719e+04 1.8e-02 0.11
7 3.0e+01 3.9e+01 1.7e+03 2.16e-01 -4.166618629e+04 8.309958702e+03 1.3e-02 0.12
8 1.9e+01 2.4e+01 1.0e+03 3.78e-01 -2.878108126e+04 5.414643349e+03 8.2e-03 0.13
9 8.0e+00 1.0e+01 4.4e+02 5.99e-01 -1.315965878e+04 3.160785759e+03 3.5e-03 0.14
10 4.0e+00 5.1e+00 2.2e+02 8.45e-01 -6.347188686e+03 2.138382981e+03 1.8e-03 0.15
11 2.2e+00 2.9e+00 1.3e+02 9.42e-01 -3.502124027e+03 1.318840362e+03 9.9e-04 0.16
12 9.1e-01 1.2e+00 5.1e+01 9.75e-01 -1.332365245e+03 6.477128449e+02 4.1e-04 0.17
13 8.3e-01 1.1e+00 4.6e+01 9.70e-01 -1.217516384e+03 6.005384152e+02 3.7e-04 0.17
14 5.9e-01 7.7e-01 3.3e+01 9.74e-01 -8.114698195e+02 4.901686803e+02 2.6e-04 0.18
15 2.1e-01 7.5e-01 1.2e+01 9.90e-01 -1.973509334e+02 2.838925360e+02 9.8e-05 0.19
16 1.1e-01 3.8e-01 6.1e+00 1.00e+00 -2.194815344e+01 2.162406412e+02 4.9e-05 0.20
17 7.7e-02 2.8e-01 4.4e+00 1.01e+00 2.773537994e+01 2.014213335e+02 3.6e-05 0.21
18 5.2e-02 2.0e-01 3.0e+00 1.02e+00 7.871292441e+01 1.952118024e+02 2.4e-05 0.22
19 1.5e-02 1.1e-01 8.7e-01 1.00e+00 1.409223651e+02 1.747335735e+02 7.0e-06 0.23
20 4.0e-03 2.2e-01 2.5e-01 1.02e+00 1.602100303e+02 1.696953144e+02 2.0e-06 0.24
21 2.7e-03 2.2e-01 1.7e-01 1.01e+00 1.623237366e+02 1.687770990e+02 1.3e-06 0.25
22 2.0e-03 1.6e-01 1.2e-01 1.00e+00 1.636802060e+02 1.683152488e+02 9.7e-07 0.27
23 7.7e-04 9.6e-02 4.8e-02 1.01e+00 1.657770298e+02 1.676106466e+02 3.9e-07 0.28
24 3.6e-04 8.1e-02 2.3e-02 1.01e+00 1.664801344e+02 1.673455451e+02 1.8e-07 0.29
25 1.5e-04 8.1e-02 9.7e-03 1.01e+00 1.668359693e+02 1.672047012e+02 7.9e-08 0.30
26 1.4e-04 7.4e-02 8.7e-03 1.01e+00 1.668663891e+02 1.671983757e+02 7.1e-08 0.31
27 1.2e-04 6.7e-02 7.8e-03 1.01e+00 1.668896140e+02 1.671882823e+02 6.4e-08 0.32
28 1.1e-04 6.2e-02 7.0e-03 1.01e+00 1.669107987e+02 1.671795199e+02 5.8e-08 0.33
29 1.0e-04 5.6e-02 6.3e-03 1.01e+00 1.669296969e+02 1.671714768e+02 5.2e-08 0.35
30 9.0e-05 5.1e-02 5.7e-03 1.01e+00 1.669466501e+02 1.671641956e+02 4.7e-08 0.36
31 8.1e-05 4.7e-02 5.1e-03 1.01e+00 1.669618540e+02 1.671575988e+02 4.2e-08 0.37
32 7.3e-05 4.3e-02 4.6e-03 1.01e+00 1.669754949e+02 1.671516275e+02 3.8e-08 0.38
33 6.5e-05 4.0e-02 4.2e-03 1.01e+00 1.669877358e+02 1.671462245e+02 3.4e-08 0.39
34 5.9e-05 3.6e-02 3.7e-03 1.01e+00 1.669987221e+02 1.671413369e+02 3.1e-08 0.40
35 5.3e-05 3.4e-02 3.4e-03 1.00e+00 1.670085838e+02 1.671369169e+02 2.8e-08 0.42
36 4.8e-05 3.1e-02 3.0e-03 1.00e+00 1.670174374e+02 1.671329208e+02 2.5e-08 0.43
37 4.3e-05 2.9e-02 2.7e-03 1.00e+00 1.670253868e+02 1.671293088e+02 2.2e-08 0.44
38 3.9e-05 2.7e-02 2.5e-03 1.00e+00 1.670325254e+02 1.671260445e+02 2.0e-08 0.45
39 3.5e-05 2.5e-02 2.2e-03 1.00e+00 1.670389367e+02 1.671230954e+02 1.8e-08 0.46
40 3.1e-05 2.3e-02 2.0e-03 1.00e+00 1.670446953e+02 1.671204313e+02 1.6e-08 0.47
41 2.8e-05 2.2e-02 1.8e-03 1.00e+00 1.670498684e+02 1.671180253e+02 1.5e-08 0.48
42 2.5e-05 2.0e-02 1.6e-03 1.00e+00 1.670545159e+02 1.671158528e+02 1.3e-08 0.49
43 2.3e-05 1.9e-02 1.5e-03 1.00e+00 1.670586918e+02 1.671138915e+02 1.2e-08 0.50
44 2.1e-05 1.8e-02 1.3e-03 1.00e+00 1.670624441e+02 1.671121210e+02 1.1e-08 0.52
45 1.8e-05 1.7e-02 1.2e-03 1.00e+00 1.670658162e+02 1.671105233e+02 9.6e-09 0.53
46 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.670688469e+02 1.671090815e+02 8.7e-09 0.54
47 1.5e-05 1.5e-02 9.5e-04 1.00e+00 1.670715709e+02 1.671077808e+02 7.8e-09 0.55
48 1.3e-05 1.4e-02 8.6e-04 1.00e+00 1.670740196e+02 1.671066074e+02 7.0e-09 0.56
49 1.2e-05 1.4e-02 7.7e-04 1.00e+00 1.670762208e+02 1.671055491e+02 6.3e-09 0.57
50 1.1e-05 1.3e-02 6.9e-04 1.00e+00 1.670781998e+02 1.671045947e+02 5.7e-09 0.58
51 9.8e-06 1.3e-02 6.2e-04 1.00e+00 1.670799792e+02 1.671037341e+02 5.1e-09 0.59
52 8.8e-06 1.2e-02 5.6e-04 1.00e+00 1.670815791e+02 1.671029581e+02 4.6e-09 0.60
53 8.0e-06 1.2e-02 5.1e-04 1.00e+00 1.670830179e+02 1.671022586e+02 4.2e-09 0.61
54 7.2e-06 1.1e-02 4.6e-04 1.00e+00 1.670843117e+02 1.671016281e+02 3.7e-09 0.63
55 6.4e-06 1.1e-02 4.1e-04 1.00e+00 1.670854753e+02 1.671010599e+02 3.4e-09 0.64
56 5.8e-06 1.1e-02 3.7e-04 1.00e+00 1.670865219e+02 1.671005478e+02 3.0e-09 0.65
57 5.2e-06 1.0e-02 3.3e-04 1.00e+00 1.670874632e+02 1.671000864e+02 2.7e-09 0.66
58 1.6e-06 3.3e-03 1.1e-04 1.00e+00 1.670932308e+02 1.670972285e+02 8.6e-10 0.68
59 1.5e-06 3.0e-03 9.5e-05 1.00e+00 1.670934997e+02 1.670970977e+02 7.8e-10 0.69
60 1.3e-06 2.7e-03 8.5e-05 9.99e-01 1.670937435e+02 1.670969819e+02 7.0e-10 0.70
61 5.3e-07 1.1e-03 3.4e-05 1.00e+00 1.670950393e+02 1.670963298e+02 2.8e-10 0.71
62 4.8e-07 9.6e-04 3.1e-05 1.00e+00 1.670951278e+02 1.670962891e+02 2.5e-10 0.72
63 4.3e-07 8.6e-04 2.8e-05 1.00e+00 1.670952050e+02 1.670962500e+02 2.3e-10 0.74
64 3.9e-07 7.7e-04 2.5e-05 1.00e+00 1.670952745e+02 1.670962150e+02 2.0e-10 0.75
65 3.5e-07 7.0e-04 2.2e-05 9.99e-01 1.670953369e+02 1.670961835e+02 1.8e-10 0.76
66 3.1e-07 6.3e-04 2.0e-05 9.99e-01 1.670953931e+02 1.670961551e+02 1.6e-10 0.77
67 2.8e-07 5.6e-04 1.8e-05 1.00e+00 1.670954437e+02 1.670961294e+02 1.5e-10 0.78
68 2.5e-07 5.1e-04 1.6e-05 9.98e-01 1.670954891e+02 1.670961064e+02 1.3e-10 0.79
69 2.3e-07 4.6e-04 1.5e-05 1.00e+00 1.670955301e+02 1.670960856e+02 1.2e-10 0.80
70 2.1e-07 4.1e-04 1.3e-05 1.00e+00 1.670955669e+02 1.670960668e+02 1.1e-10 0.81
71 1.9e-07 3.7e-04 1.2e-05 1.00e+00 1.670956000e+02 1.670960499e+02 9.7e-11 0.82
72 1.7e-07 3.3e-04 1.1e-05 9.98e-01 1.670956298e+02 1.670960348e+02 8.7e-11 0.83
73 1.5e-07 3.0e-04 9.6e-06 9.99e-01 1.670956567e+02 1.670960211e+02 7.9e-11 0.84
74 1.3e-07 2.7e-04 8.6e-06 9.99e-01 1.670956808e+02 1.670960088e+02 7.1e-11 0.85
75 1.2e-07 2.4e-04 7.8e-06 1.00e+00 1.670957025e+02 1.670959977e+02 6.4e-11 0.86
76 1.1e-07 2.2e-04 7.0e-06 1.01e+00 1.670957224e+02 1.670959875e+02 5.7e-11 0.87
77 9.8e-08 2.0e-04 6.3e-06 9.96e-01 1.670957400e+02 1.670959786e+02 5.2e-11 0.88
78 8.8e-08 1.8e-04 5.7e-06 9.99e-01 1.670957558e+02 1.670959706e+02 4.7e-11 0.89
79 8.0e-08 1.6e-04 5.1e-06 9.91e-01 1.670957700e+02 1.670959634e+02 4.2e-11 0.90
80 7.2e-08 1.4e-04 4.6e-06 1.00e+00 1.670957828e+02 1.670959568e+02 3.8e-11 0.91
81 6.5e-08 1.3e-04 4.1e-06 1.01e+00 1.670957947e+02 1.670959507e+02 3.4e-11 0.92
82 5.8e-08 1.2e-04 3.7e-06 9.94e-01 1.670958050e+02 1.670959454e+02 3.1e-11 0.93
83 5.2e-08 1.0e-04 3.3e-06 1.01e+00 1.670958145e+02 1.670959405e+02 2.8e-11 0.94
84 4.7e-08 9.4e-05 3.0e-06 1.01e+00 1.670958233e+02 1.670959360e+02 2.5e-11 0.95
85 4.2e-08 8.5e-05 2.7e-06 1.01e+00 1.670958310e+02 1.670959321e+02 2.3e-11 0.96
86 3.8e-08 7.6e-05 2.4e-06 1.01e+00 1.670958378e+02 1.670959286e+02 2.0e-11 0.97
87 3.4e-08 6.9e-05 2.2e-06 1.01e+00 1.670958441e+02 1.670959253e+02 1.8e-11 0.98
88 3.1e-08 6.2e-05 2.0e-06 1.02e+00 1.670958500e+02 1.670959223e+02 1.7e-11 0.99
89 2.8e-08 5.6e-05 1.8e-06 1.01e+00 1.670958550e+02 1.670959197e+02 1.5e-11 1.00
90 2.5e-08 5.0e-05 1.6e-06 9.98e-01 1.670958593e+02 1.670959175e+02 1.4e-11 1.01
91 2.3e-08 4.5e-05 1.4e-06 9.88e-01 1.670958632e+02 1.670959156e+02 1.2e-11 1.02
92 2.0e-08 4.1e-05 1.3e-06 9.77e-01 1.670958666e+02 1.670959139e+02 1.1e-11 1.03
93 1.8e-08 3.6e-05 1.2e-06 1.04e+00 1.670958703e+02 1.670959119e+02 1.0e-11 1.04
94 1.6e-08 3.3e-05 1.0e-06 1.03e+00 1.670958735e+02 1.670959103e+02 9.3e-12 1.05
95 1.5e-08 3.0e-05 9.4e-07 1.03e+00 1.670958763e+02 1.670959088e+02 8.5e-12 1.06
Interior-point optimizer terminated. Time: 1.06.
Optimizer terminated. Time: 1.07
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709587626e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709590882e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.09 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281650050e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260064495e+05 3.586598816e+00 4.8e-01 0.05
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.201036196e+05 9.955119840e+00 1.9e-01 0.06
3 2.9e+02 3.7e+02 1.6e+04 -8.43e-01 -1.153209902e+05 5.962436806e+01 1.3e-01 0.07
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.127512786e+05 2.237183038e+03 1.3e-01 0.07
5 7.6e+01 9.7e+01 4.2e+03 -7.55e-01 -7.475667229e+04 9.749653566e+03 3.3e-02 0.08
6 3.7e+01 4.7e+01 2.0e+03 -1.99e-01 -4.738447040e+04 1.028818970e+04 1.6e-02 0.10
7 2.3e+01 3.0e+01 1.3e+03 2.71e-01 -3.362065003e+04 7.292035575e+03 1.0e-02 0.11
8 1.4e+01 1.7e+01 7.6e+02 5.18e-01 -2.155826448e+04 4.842536124e+03 6.0e-03 0.12
9 5.4e+00 6.9e+00 3.0e+02 7.18e-01 -8.872619175e+03 2.461233522e+03 2.4e-03 0.13
10 2.4e+00 3.1e+00 1.4e+02 9.11e-01 -3.777347159e+03 1.422700003e+03 1.1e-03 0.13
11 1.8e+00 2.3e+00 1.0e+02 9.74e-01 -2.754294457e+03 1.093079033e+03 7.9e-04 0.14
12 8.1e-01 1.0e+00 4.6e+01 9.82e-01 -1.172184562e+03 5.956563999e+02 3.6e-04 0.15
13 7.5e-01 1.1e+00 4.2e+01 9.46e-01 -1.100302890e+03 5.584998529e+02 3.4e-04 0.16
14 6.2e-01 8.9e-01 3.5e+01 9.87e-01 -8.693251857e+02 5.054041514e+02 2.8e-04 0.17
15 1.8e-01 2.9e-01 1.0e+01 9.89e-01 -1.579536118e+02 2.544990217e+02 8.4e-05 0.18
16 1.0e-01 1.8e-01 5.8e+00 1.01e+00 -1.917023687e+01 2.099840038e+02 4.7e-05 0.19
17 1.0e-01 1.8e-01 5.8e+00 1.02e+00 -1.750093372e+01 2.103208188e+02 4.7e-05 0.20
18 8.6e-02 1.5e-01 5.0e+00 1.02e+00 1.630747277e+01 2.107226613e+02 4.0e-05 0.21
19 4.3e-02 9.8e-02 2.5e+00 1.01e+00 9.144503096e+01 1.875635012e+02 2.0e-05 0.21
20 1.2e-02 1.6e-01 7.1e-01 1.01e+00 1.464197073e+02 1.736018569e+02 5.7e-06 0.22
21 4.7e-03 3.6e-01 2.8e-01 1.01e+00 1.584897877e+02 1.691035342e+02 2.3e-06 0.23
22 1.2e-03 1.8e-01 7.5e-02 1.01e+00 1.645724823e+02 1.674404063e+02 6.1e-07 0.24
23 6.6e-04 1.2e-01 4.1e-02 9.80e-01 1.655128905e+02 1.670779352e+02 3.4e-07 0.25
24 2.0e-04 1.1e-01 1.3e-02 9.95e-01 1.662879378e+02 1.667831371e+02 1.1e-07 0.26
25 6.9e-05 1.0e-01 4.5e-03 1.01e+00 1.665171045e+02 1.666889237e+02 3.8e-08 0.27
26 3.1e-05 8.7e-02 2.1e-03 1.01e+00 1.665829624e+02 1.666610868e+02 1.8e-08 0.28
27 2.8e-05 7.9e-02 1.9e-03 1.01e+00 1.665892625e+02 1.666595795e+02 1.6e-08 0.29
28 2.5e-05 7.2e-02 1.7e-03 1.00e+00 1.665940976e+02 1.666573660e+02 1.4e-08 0.30
29 2.3e-05 6.6e-02 1.5e-03 1.00e+00 1.665985135e+02 1.666554467e+02 1.3e-08 0.31
30 2.0e-05 6.0e-02 1.4e-03 1.00e+00 1.666024750e+02 1.666537071e+02 1.1e-08 0.32
31 1.8e-05 5.5e-02 1.2e-03 1.00e+00 1.666060360e+02 1.666521385e+02 1.0e-08 0.33
32 1.7e-05 5.0e-02 1.1e-03 1.00e+00 1.666092359e+02 1.666507230e+02 9.3e-09 0.34
33 1.5e-05 4.6e-02 9.9e-04 1.00e+00 1.666121120e+02 1.666494460e+02 8.4e-09 0.35
34 1.3e-05 4.2e-02 8.9e-04 1.00e+00 1.666146971e+02 1.666482941e+02 7.5e-09 0.36
35 1.2e-05 3.9e-02 8.0e-04 1.00e+00 1.666170208e+02 1.666472552e+02 6.8e-09 0.37
36 1.1e-05 3.5e-02 7.2e-04 1.00e+00 1.666191096e+02 1.666463183e+02 6.1e-09 0.85
37 9.8e-06 3.3e-02 6.5e-04 1.00e+00 1.666209875e+02 1.666454733e+02 5.5e-09 1.08
38 8.8e-06 3.0e-02 5.9e-04 1.00e+00 1.666226757e+02 1.666447114e+02 5.0e-09 1.22
39 7.9e-06 2.8e-02 5.3e-04 1.00e+00 1.666241936e+02 1.666440244e+02 4.5e-09 1.36
40 7.1e-06 2.6e-02 4.7e-04 1.00e+00 1.666255584e+02 1.666434051e+02 4.0e-09 1.54
41 6.4e-06 2.4e-02 4.3e-04 1.00e+00 1.666267856e+02 1.666428468e+02 3.6e-09 1.59
42 5.8e-06 2.3e-02 3.8e-04 1.00e+00 1.666278890e+02 1.666423435e+02 3.3e-09 1.83
43 5.2e-06 2.1e-02 3.5e-04 1.00e+00 1.666288813e+02 1.666418898e+02 2.9e-09 2.82
44 4.7e-06 2.0e-02 3.1e-04 1.00e+00 1.666297736e+02 1.666414808e+02 2.6e-09 3.61
45 4.2e-06 1.9e-02 2.8e-04 1.00e+00 1.666305761e+02 1.666411122e+02 2.4e-09 4.30
46 3.8e-06 1.7e-02 2.5e-04 1.00e+00 1.666312976e+02 1.666407799e+02 2.1e-09 5.08
47 3.4e-06 1.7e-02 2.3e-04 1.00e+00 1.666319465e+02 1.666404803e+02 1.9e-09 5.55
48 3.1e-06 1.6e-02 2.0e-04 1.00e+00 1.666325300e+02 1.666402102e+02 1.7e-09 6.00
49 2.8e-06 1.5e-02 1.8e-04 1.00e+00 1.666330547e+02 1.666399667e+02 1.6e-09 6.16
50 2.5e-06 1.4e-02 1.7e-04 1.00e+00 1.666335265e+02 1.666397473e+02 1.4e-09 6.23
51 2.2e-06 1.4e-02 1.5e-04 1.00e+00 1.666339509e+02 1.666395494e+02 1.3e-09 6.73
52 2.0e-06 1.3e-02 1.3e-04 1.00e+00 1.666343325e+02 1.666393712e+02 1.1e-09 7.68
53 1.8e-06 1.2e-02 1.2e-04 1.00e+00 1.666346758e+02 1.666392106e+02 1.0e-09 8.46
54 1.6e-06 1.2e-02 1.1e-04 1.00e+00 1.666349846e+02 1.666390658e+02 9.2e-10 9.42
55 1.5e-06 1.2e-02 9.8e-05 1.00e+00 1.666352624e+02 1.666389354e+02 8.3e-10 10.02
56 1.3e-06 1.1e-02 8.8e-05 1.00e+00 1.666355122e+02 1.666388179e+02 7.4e-10 10.67
57 1.2e-06 1.1e-02 7.9e-05 1.00e+00 1.666357369e+02 1.666387120e+02 6.7e-10 11.14
58 1.1e-06 1.1e-02 7.1e-05 1.00e+00 1.666359390e+02 1.666386166e+02 6.0e-10 11.31
59 9.6e-07 1.0e-02 6.4e-05 1.00e+00 1.666361208e+02 1.666385306e+02 5.4e-10 11.38
60 8.7e-07 1.0e-02 5.8e-05 1.00e+00 1.666362843e+02 1.666384532e+02 4.9e-10 11.83
61 7.8e-07 9.9e-03 5.2e-05 1.00e+00 1.666364313e+02 1.666383833e+02 4.4e-10 12.54
62 7.0e-07 9.7e-03 4.7e-05 1.00e+00 1.666365636e+02 1.666383204e+02 4.0e-10 13.20
63 6.3e-07 9.5e-03 4.2e-05 1.00e+00 1.666366825e+02 1.666382636e+02 3.6e-10 14.11
64 5.7e-07 9.3e-03 3.8e-05 1.00e+00 1.666367895e+02 1.666382124e+02 3.2e-10 14.60
65 5.1e-07 9.2e-03 3.4e-05 1.00e+00 1.666368856e+02 1.666381663e+02 2.9e-10 15.22
66 4.6e-07 9.0e-03 3.1e-05 1.00e+00 1.666369721e+02 1.666381247e+02 2.6e-10 15.34
67 4.1e-07 8.9e-03 2.8e-05 1.00e+00 1.666370499e+02 1.666380872e+02 2.3e-10 15.43
68 3.7e-07 8.8e-03 2.5e-05 1.00e+00 1.666371198e+02 1.666380534e+02 2.1e-10 15.53
69 3.4e-07 8.7e-03 2.2e-05 1.00e+00 1.666371827e+02 1.666380229e+02 1.9e-10 15.62
70 3.0e-07 8.6e-03 2.0e-05 9.99e-01 1.666372392e+02 1.666379955e+02 1.7e-10 15.70
71 2.7e-07 8.5e-03 1.8e-05 1.00e+00 1.666372901e+02 1.666379707e+02 1.5e-10 15.81
72 2.4e-07 8.5e-03 1.6e-05 9.99e-01 1.666373358e+02 1.666379484e+02 1.4e-10 15.90
73 2.2e-07 8.4e-03 1.5e-05 9.99e-01 1.666373770e+02 1.666379283e+02 1.2e-10 15.98
74 2.0e-07 8.3e-03 1.3e-05 1.00e+00 1.666374140e+02 1.666379102e+02 1.1e-10 16.01
75 1.8e-07 8.3e-03 1.2e-05 1.00e+00 1.666374473e+02 1.666378939e+02 1.0e-10 16.04
76 1.6e-07 8.2e-03 1.1e-05 9.99e-01 1.666374773e+02 1.666378792e+02 9.1e-11 16.05
77 1.4e-07 8.2e-03 9.6e-06 1.00e+00 1.666375043e+02 1.666378660e+02 8.1e-11 16.09
78 1.3e-07 8.1e-03 8.7e-06 1.00e+00 1.666375285e+02 1.666378540e+02 7.3e-11 16.13
79 1.2e-07 8.1e-03 7.8e-06 9.97e-01 1.666375504e+02 1.666378433e+02 6.6e-11 16.21
80 1.1e-07 8.0e-03 7.0e-06 9.98e-01 1.666375700e+02 1.666378337e+02 5.9e-11 16.28
81 9.5e-08 8.0e-03 6.3e-06 9.99e-01 1.666375877e+02 1.666378250e+02 5.3e-11 16.99
82 8.5e-08 8.0e-03 5.7e-06 1.00e+00 1.666376036e+02 1.666378172e+02 4.8e-11 17.47
83 7.7e-08 7.9e-03 5.1e-06 1.00e+00 1.666376180e+02 1.666378101e+02 4.3e-11 17.82
84 6.9e-08 7.9e-03 4.6e-06 1.00e+00 1.666376309e+02 1.666378037e+02 3.9e-11 18.61
85 6.2e-08 7.9e-03 4.1e-06 9.95e-01 1.666376425e+02 1.666377981e+02 3.5e-11 19.28
86 5.6e-08 7.8e-03 3.7e-06 9.98e-01 1.666376529e+02 1.666377929e+02 3.2e-11 20.09
87 5.0e-08 7.8e-03 3.4e-06 9.96e-01 1.666376623e+02 1.666377883e+02 2.8e-11 20.27
88 4.5e-08 7.8e-03 3.0e-06 9.96e-01 1.666376707e+02 1.666377842e+02 2.6e-11 20.28
89 4.1e-08 7.8e-03 2.7e-06 1.00e+00 1.666376783e+02 1.666377804e+02 2.3e-11 20.29
90 3.7e-08 7.0e-03 2.4e-06 1.01e+00 1.666376854e+02 1.666377769e+02 2.1e-11 20.30
91 3.3e-08 6.3e-03 2.2e-06 9.97e-01 1.666376916e+02 1.666377739e+02 1.9e-11 20.31
92 3.0e-08 5.7e-03 2.0e-06 1.01e+00 1.666376973e+02 1.666377710e+02 1.7e-11 20.32
93 2.7e-08 5.1e-03 1.8e-06 9.98e-01 1.666377023e+02 1.666377686e+02 1.5e-11 20.33
94 2.4e-08 4.6e-03 1.6e-06 9.90e-01 1.666377067e+02 1.666377664e+02 1.4e-11 20.34
95 2.2e-08 4.1e-03 1.4e-06 9.96e-01 1.666377107e+02 1.666377644e+02 1.2e-11 20.36
96 2.0e-08 3.7e-03 1.3e-06 1.02e+00 1.666377147e+02 1.666377624e+02 1.1e-11 20.52
97 1.8e-08 3.3e-03 1.2e-06 1.02e+00 1.666377181e+02 1.666377607e+02 1.0e-11 20.54
98 1.6e-08 3.0e-03 1.1e-06 9.80e-01 1.666377210e+02 1.666377594e+02 9.2e-12 20.81
99 1.4e-08 2.7e-03 9.5e-07 9.84e-01 1.666377235e+02 1.666377581e+02 8.3e-12 20.82
100 1.3e-08 2.4e-03 8.5e-07 9.83e-01 1.666377258e+02 1.666377570e+02 7.4e-12 20.83
101 1.2e-08 2.2e-03 7.7e-07 1.03e+00 1.666377282e+02 1.666377558e+02 6.8e-12 20.84
102 1.0e-08 2.0e-03 6.9e-07 1.04e+00 1.666377304e+02 1.666377547e+02 6.2e-12 20.85
103 9.4e-09 1.8e-03 6.2e-07 1.04e+00 1.666377323e+02 1.666377537e+02 5.7e-12 20.86
104 8.5e-09 1.6e-03 5.6e-07 1.03e+00 1.666377339e+02 1.666377529e+02 5.2e-12 20.96
105 7.6e-09 1.4e-03 5.0e-07 1.00e+00 1.666377352e+02 1.666377523e+02 4.7e-12 21.11
106 6.9e-09 1.3e-03 4.5e-07 9.75e-01 1.666377364e+02 1.666377517e+02 4.2e-12 21.19
107 6.2e-09 1.2e-03 4.1e-07 9.83e-01 1.666377374e+02 1.666377512e+02 3.8e-12 21.32
108 5.7e-09 1.0e-03 3.7e-07 1.05e+00 1.666377385e+02 1.666377506e+02 3.5e-12 21.44
109 5.2e-09 9.4e-04 3.3e-07 9.69e-01 1.666377394e+02 1.666377503e+02 3.2e-12 21.57
110 4.6e-09 8.5e-04 3.0e-07 1.00e+00 1.666377401e+02 1.666377499e+02 2.8e-12 21.69
111 4.2e-09 7.6e-04 2.7e-07 1.09e+00 1.666377410e+02 1.666377494e+02 2.7e-12 21.80
112 3.9e-09 6.9e-04 2.4e-07 1.07e+00 1.666377418e+02 1.666377490e+02 2.5e-12 22.02
113 2.0e-09 1.0e-04 3.5e-08 1.09e+00 1.666377459e+02 1.666377469e+02 2.8e-13 22.19
Interior-point optimizer terminated. Time: 22.19.
Optimizer terminated. Time: 22.20
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774592e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.6663774690e+02 Viol. con: 0e+00 var: 5e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 22.2 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281256838e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259652935e+05 3.580273302e+00 4.8e-01 0.05
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.199460167e+05 1.005567447e+01 1.9e-01 0.07
3 2.9e+02 3.7e+02 1.6e+04 -8.41e-01 -1.152369818e+05 6.134020698e+01 1.3e-01 0.08
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.125938778e+05 2.293614052e+03 1.3e-01 0.09
5 7.3e+01 9.4e+01 4.1e+03 -7.54e-01 -7.359806316e+04 9.834639161e+03 3.2e-02 0.10
6 3.6e+01 4.5e+01 2.0e+03 -1.82e-01 -4.627583273e+04 1.009594451e+04 1.6e-02 0.12
7 2.1e+01 2.7e+01 1.2e+03 2.90e-01 -3.084198991e+04 6.881641326e+03 9.2e-03 0.13
8 1.2e+01 1.6e+01 6.7e+02 5.65e-01 -1.932389355e+04 4.483621475e+03 5.4e-03 0.14
9 4.7e+00 6.0e+00 2.6e+02 7.54e-01 -7.701963816e+03 2.174741158e+03 2.1e-03 0.15
10 2.3e+00 2.9e+00 1.3e+02 9.26e-01 -3.516846890e+03 1.397317118e+03 1.0e-03 0.16
11 1.5e+00 1.9e+00 8.4e+01 9.76e-01 -2.278051940e+03 9.686731782e+02 6.7e-04 0.18
12 8.5e-01 1.1e+00 4.7e+01 9.85e-01 -1.223619425e+03 6.225979297e+02 3.8e-04 0.19
13 7.5e-01 9.9e-01 4.2e+01 9.54e-01 -1.085109014e+03 5.622480242e+02 3.3e-04 0.21
14 3.7e-01 4.9e-01 2.1e+01 9.85e-01 -4.368217532e+02 3.757316959e+02 1.7e-04 0.22
15 1.8e-01 2.5e-01 1.0e+01 9.98e-01 -1.425569679e+02 2.585351224e+02 8.2e-05 0.23
16 8.9e-02 1.6e-01 5.1e+00 1.01e+00 5.484102821e+00 2.044130052e+02 4.1e-05 0.24
17 8.6e-02 1.5e-01 4.9e+00 1.01e+00 1.455512831e+01 2.066564114e+02 4.0e-05 0.25
18 6.1e-02 1.1e-01 3.5e+00 1.01e+00 6.001230014e+01 1.948456408e+02 2.8e-05 0.27
19 2.9e-02 7.3e-02 1.7e+00 1.01e+00 1.156054202e+02 1.809647505e+02 1.4e-05 0.28
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.526398609e+02 1.716139574e+02 4.0e-06 0.29
21 2.5e-03 1.8e-01 1.5e-01 1.00e+00 1.622522182e+02 1.679613465e+02 1.2e-06 0.30
22 1.5e-03 1.2e-01 9.0e-02 1.00e+00 1.639807351e+02 1.674413344e+02 7.3e-07 0.31
23 5.1e-04 1.0e-01 3.2e-02 1.01e+00 1.656593412e+02 1.668669759e+02 2.6e-07 0.32
24 2.0e-04 9.6e-02 1.2e-02 1.01e+00 1.661981706e+02 1.666657453e+02 1.0e-07 0.33
25 1.8e-04 8.7e-02 1.1e-02 1.01e+00 1.662345746e+02 1.666552708e+02 9.2e-08 0.34
26 1.6e-04 7.9e-02 9.9e-03 1.01e+00 1.662646321e+02 1.666431174e+02 8.3e-08 0.35
27 1.4e-04 7.2e-02 8.9e-03 1.01e+00 1.662918637e+02 1.666323883e+02 7.5e-08 0.36
28 1.3e-04 6.6e-02 8.0e-03 1.01e+00 1.663162468e+02 1.666226258e+02 6.7e-08 0.38
29 1.2e-04 6.0e-02 7.2e-03 1.01e+00 1.663381290e+02 1.666137932e+02 6.0e-08 0.39
30 1.0e-04 5.5e-02 6.5e-03 1.01e+00 1.663577608e+02 1.666057955e+02 5.4e-08 0.40
31 9.4e-05 5.0e-02 5.9e-03 1.01e+00 1.663753757e+02 1.665985552e+02 4.9e-08 0.41
32 8.4e-05 4.6e-02 5.3e-03 1.01e+00 1.663911815e+02 1.665920009e+02 4.4e-08 0.43
33 7.6e-05 4.2e-02 4.7e-03 1.01e+00 1.664053653e+02 1.665860684e+02 4.0e-08 0.44
34 6.8e-05 3.9e-02 4.3e-03 1.01e+00 1.664180946e+02 1.665806997e+02 3.6e-08 0.45
35 6.2e-05 3.5e-02 3.8e-03 1.01e+00 1.664295198e+02 1.665758419e+02 3.2e-08 0.47
36 5.5e-05 3.3e-02 3.5e-03 1.00e+00 1.664397758e+02 1.665714475e+02 2.9e-08 0.48
37 5.0e-05 3.0e-02 3.1e-03 1.00e+00 1.664489831e+02 1.665674731e+02 2.6e-08 0.49
38 4.5e-05 2.8e-02 2.8e-03 1.00e+00 1.664572499e+02 1.665638793e+02 2.3e-08 0.51
39 4.0e-05 2.6e-02 2.5e-03 1.00e+00 1.664646731e+02 1.665606303e+02 2.1e-08 0.52
40 3.6e-05 2.4e-02 2.3e-03 1.00e+00 1.664713396e+02 1.665576936e+02 1.9e-08 0.53
41 3.3e-05 2.2e-02 2.0e-03 1.00e+00 1.664773269e+02 1.665550397e+02 1.7e-08 0.54
42 2.9e-05 2.1e-02 1.8e-03 1.00e+00 1.664827050e+02 1.665526419e+02 1.5e-08 0.55
43 2.6e-05 2.0e-02 1.7e-03 1.00e+00 1.664875362e+02 1.665504758e+02 1.4e-08 0.57
44 2.4e-05 1.8e-02 1.5e-03 1.00e+00 1.664918767e+02 1.665485194e+02 1.2e-08 0.58
45 2.1e-05 1.7e-02 1.3e-03 1.00e+00 1.664957766e+02 1.665467528e+02 1.1e-08 0.59
46 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.664992811e+02 1.665451580e+02 1.0e-08 0.60
47 1.7e-05 1.6e-02 1.1e-03 1.00e+00 1.665024305e+02 1.665437184e+02 9.1e-09 0.62
48 1.6e-05 1.5e-02 9.8e-04 1.00e+00 1.665052612e+02 1.665424193e+02 8.2e-09 0.63
49 1.4e-05 1.4e-02 8.8e-04 1.00e+00 1.665078057e+02 1.665412472e+02 7.4e-09 0.64
50 1.3e-05 1.4e-02 7.9e-04 1.00e+00 1.665100932e+02 1.665401900e+02 6.6e-09 0.65
51 1.1e-05 1.3e-02 7.1e-04 1.00e+00 1.665121498e+02 1.665392365e+02 6.0e-09 0.66
52 1.0e-05 1.2e-02 6.4e-04 1.00e+00 1.665139991e+02 1.665383768e+02 5.4e-09 0.67
53 9.2e-06 1.2e-02 5.8e-04 1.00e+00 1.665156622e+02 1.665376019e+02 4.8e-09 0.68
54 8.3e-06 1.2e-02 5.2e-04 1.00e+00 1.665171578e+02 1.665369034e+02 4.3e-09 0.69
55 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.665185029e+02 1.665362739e+02 3.9e-09 0.71
56 6.7e-06 1.1e-02 4.2e-04 1.00e+00 1.665197128e+02 1.665357067e+02 3.5e-09 0.72
57 6.1e-06 1.1e-02 3.8e-04 1.00e+00 1.665208011e+02 1.665351956e+02 3.2e-09 0.73
58 5.5e-06 1.0e-02 3.4e-04 1.00e+00 1.665217800e+02 1.665347351e+02 2.9e-09 0.74
59 4.9e-06 1.0e-02 3.1e-04 1.00e+00 1.665226606e+02 1.665343202e+02 2.6e-09 0.75
60 4.4e-06 9.9e-03 2.8e-04 1.00e+00 1.665234527e+02 1.665339464e+02 2.3e-09 0.77
61 4.0e-06 9.7e-03 2.5e-04 1.00e+00 1.665241652e+02 1.665336096e+02 2.1e-09 0.78
62 3.6e-06 9.5e-03 2.2e-04 1.00e+00 1.665248061e+02 1.665333060e+02 1.9e-09 0.79
63 3.2e-06 9.4e-03 2.0e-04 1.00e+00 1.665253826e+02 1.665330325e+02 1.7e-09 0.80
64 2.9e-06 9.2e-03 1.8e-04 1.00e+00 1.665259010e+02 1.665327860e+02 1.5e-09 0.81
65 2.6e-06 9.1e-03 1.6e-04 1.00e+00 1.665263674e+02 1.665325639e+02 1.4e-09 0.82
66 2.3e-06 9.0e-03 1.5e-04 1.00e+00 1.665267868e+02 1.665323637e+02 1.2e-09 0.83
67 2.1e-06 8.9e-03 1.3e-04 1.00e+00 1.665271642e+02 1.665321834e+02 1.1e-09 0.84
68 1.9e-06 8.8e-03 1.2e-04 1.00e+00 1.665275037e+02 1.665320210e+02 1.0e-09 0.86
69 1.7e-06 8.7e-03 1.1e-04 1.00e+00 1.665278090e+02 1.665318747e+02 9.0e-10 0.87
70 1.5e-06 8.6e-03 9.6e-05 1.00e+00 1.665280838e+02 1.665317429e+02 8.1e-10 0.88
71 1.4e-06 8.6e-03 8.7e-05 1.00e+00 1.665283309e+02 1.665316241e+02 7.3e-10 0.89
72 1.2e-06 8.5e-03 7.8e-05 1.00e+00 1.665285533e+02 1.665315171e+02 6.5e-10 0.91
73 1.1e-06 8.5e-03 7.0e-05 1.00e+00 1.665287533e+02 1.665314208e+02 5.9e-10 0.92
74 1.0e-06 8.4e-03 6.3e-05 1.00e+00 1.665289332e+02 1.665313340e+02 5.3e-10 0.93
75 9.1e-07 8.4e-03 5.7e-05 1.00e+00 1.665290950e+02 1.665312558e+02 4.8e-10 0.94
76 8.2e-07 8.3e-03 5.1e-05 1.00e+00 1.665292406e+02 1.665311853e+02 4.3e-10 0.95
77 7.4e-07 8.3e-03 4.6e-05 1.00e+00 1.665293715e+02 1.665311217e+02 3.9e-10 0.96
78 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.665294893e+02 1.665310645e+02 3.5e-10 0.97
79 6.0e-07 8.2e-03 3.7e-05 1.00e+00 1.665295952e+02 1.665310129e+02 3.1e-10 0.98
80 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.665296904e+02 1.665309664e+02 2.8e-10 0.99
81 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.665297761e+02 1.665309245e+02 2.5e-10 1.00
82 4.4e-07 8.1e-03 2.7e-05 1.00e+00 1.665298531e+02 1.665308867e+02 2.3e-10 1.02
83 3.9e-07 8.1e-03 2.5e-05 9.99e-01 1.665299224e+02 1.665308526e+02 2.1e-10 1.03
84 3.5e-07 8.0e-03 2.2e-05 1.00e+00 1.665299846e+02 1.665308219e+02 1.8e-10 1.04
85 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.665300407e+02 1.665307942e+02 1.7e-10 1.05
86 2.9e-07 8.0e-03 1.8e-05 9.98e-01 1.665300910e+02 1.665307693e+02 1.5e-10 1.06
87 2.6e-07 8.0e-03 1.6e-05 9.99e-01 1.665301363e+02 1.665307468e+02 1.3e-10 1.07
88 2.3e-07 7.9e-03 1.4e-05 1.00e+00 1.665301771e+02 1.665307265e+02 1.2e-10 1.08
89 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.665302138e+02 1.665307082e+02 1.1e-10 1.09
90 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.665302468e+02 1.665306918e+02 9.8e-11 1.10
91 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.665302765e+02 1.665306770e+02 8.8e-11 1.11
92 1.5e-07 7.9e-03 9.5e-06 1.00e+00 1.665303032e+02 1.665306636e+02 7.9e-11 1.12
93 1.4e-07 7.9e-03 8.6e-06 1.00e+00 1.665303272e+02 1.665306516e+02 7.2e-11 1.14
94 1.2e-07 7.8e-03 7.7e-06 1.00e+00 1.665303488e+02 1.665306408e+02 6.4e-11 1.15
95 1.1e-07 7.8e-03 6.9e-06 9.99e-01 1.665303683e+02 1.665306310e+02 5.8e-11 1.16
96 1.0e-07 7.8e-03 6.2e-06 1.00e+00 1.665303858e+02 1.665306222e+02 5.2e-11 1.17
97 9.0e-08 7.8e-03 5.6e-06 9.98e-01 1.665304015e+02 1.665306144e+02 4.7e-11 1.18
98 8.1e-08 7.8e-03 5.1e-06 1.00e+00 1.665304157e+02 1.665306072e+02 4.2e-11 1.19
99 7.3e-08 7.8e-03 4.5e-06 1.00e+00 1.665304285e+02 1.665306008e+02 3.8e-11 1.21
100 6.5e-08 7.7e-03 4.1e-06 1.00e+00 1.665304400e+02 1.665305950e+02 3.4e-11 1.22
101 5.9e-08 7.7e-03 3.7e-06 9.97e-01 1.665304503e+02 1.665305898e+02 3.1e-11 1.23
102 5.3e-08 7.7e-03 3.3e-06 9.95e-01 1.665304596e+02 1.665305852e+02 2.8e-11 1.24
103 4.8e-08 6.9e-03 3.0e-06 1.01e+00 1.665304681e+02 1.665305809e+02 2.5e-11 1.25
104 4.3e-08 6.2e-03 2.7e-06 9.99e-01 1.665304756e+02 1.665305771e+02 2.2e-11 1.27
105 3.9e-08 5.6e-03 2.4e-06 1.00e+00 1.665304824e+02 1.665305737e+02 2.0e-11 1.28
106 3.5e-08 5.0e-03 2.2e-06 1.00e+00 1.665304884e+02 1.665305707e+02 1.8e-11 1.29
107 3.1e-08 4.5e-03 2.0e-06 1.00e+00 1.665304939e+02 1.665305679e+02 1.6e-11 1.30
108 2.8e-08 4.1e-03 1.8e-06 9.97e-01 1.665304988e+02 1.665305655e+02 1.5e-11 1.31
109 2.5e-08 3.7e-03 1.6e-06 9.78e-01 1.665305033e+02 1.665305633e+02 1.3e-11 1.32
110 2.3e-08 3.3e-03 1.4e-06 1.00e+00 1.665305072e+02 1.665305613e+02 1.2e-11 1.34
111 2.0e-08 3.0e-03 1.3e-06 9.92e-01 1.665305108e+02 1.665305595e+02 1.1e-11 1.35
112 1.8e-08 2.7e-03 1.2e-06 9.88e-01 1.665305141e+02 1.665305579e+02 9.7e-12 1.36
113 1.7e-08 2.4e-03 1.0e-06 1.01e+00 1.665305171e+02 1.665305563e+02 8.8e-12 1.37
114 1.5e-08 2.2e-03 9.4e-07 9.83e-01 1.665305197e+02 1.665305550e+02 7.9e-12 1.38
115 1.3e-08 2.0e-03 8.4e-07 9.79e-01 1.665305221e+02 1.665305539e+02 7.1e-12 1.39
116 1.2e-08 1.8e-03 7.6e-07 9.97e-01 1.665305242e+02 1.665305528e+02 6.4e-12 1.41
117 1.1e-08 1.6e-03 6.8e-07 9.97e-01 1.665305261e+02 1.665305518e+02 5.8e-12 1.42
118 9.8e-09 1.4e-03 6.1e-07 9.64e-01 1.665305278e+02 1.665305510e+02 5.2e-12 1.43
119 8.9e-09 1.3e-03 5.5e-07 9.91e-01 1.665305293e+02 1.665305502e+02 4.7e-12 1.44
120 8.0e-09 1.2e-03 5.0e-07 9.71e-01 1.665305307e+02 1.665305495e+02 4.2e-12 1.45
121 7.2e-09 1.0e-03 4.5e-07 9.54e-01 1.665305319e+02 1.665305489e+02 3.8e-12 1.46
122 6.5e-09 9.3e-04 4.0e-07 9.99e-01 1.665305331e+02 1.665305484e+02 3.4e-12 1.47
123 5.8e-09 8.4e-04 3.6e-07 9.83e-01 1.665305341e+02 1.665305479e+02 3.1e-12 1.48
124 5.2e-09 7.6e-04 3.3e-07 9.77e-01 1.665305350e+02 1.665305474e+02 2.8e-12 1.49
125 4.7e-09 6.8e-04 2.9e-07 1.01e+00 1.665305358e+02 1.665305470e+02 2.5e-12 1.51
126 4.3e-09 6.1e-04 2.6e-07 9.92e-01 1.665305365e+02 1.665305466e+02 2.2e-12 1.52
127 3.8e-09 5.5e-04 2.4e-07 9.23e-01 1.665305372e+02 1.665305463e+02 2.0e-12 1.53
128 3.5e-09 5.0e-04 2.1e-07 9.43e-01 1.665305378e+02 1.665305460e+02 1.8e-12 1.54
129 3.1e-09 4.5e-04 1.9e-07 9.79e-01 1.665305383e+02 1.665305457e+02 1.6e-12 1.55
130 2.9e-09 4.0e-04 1.7e-07 9.32e-01 1.665305388e+02 1.665305455e+02 1.5e-12 1.56
131 2.6e-09 3.6e-04 1.6e-07 9.90e-01 1.665305392e+02 1.665305452e+02 1.3e-12 1.57
132 7.2e-10 3.7e-05 1.6e-08 9.92e-01 1.665305428e+02 1.665305434e+02 1.4e-13 1.58
Interior-point optimizer terminated. Time: 1.58.
Optimizer terminated. Time: 1.59
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054277e+02 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6653054339e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.6 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3440 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281219226e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259510015e+05 3.575672602e+00 4.8e-01 0.06
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.198706852e+05 1.013520778e+01 1.9e-01 0.07
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.151566026e+05 6.243044713e+01 1.2e-01 0.08
4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125384741e+05 2.273182422e+03 1.2e-01 0.09
5 7.5e+01 9.6e+01 4.1e+03 -7.53e-01 -7.445604785e+04 9.639359765e+03 3.3e-02 0.10
6 3.3e+01 4.2e+01 1.8e+03 -1.95e-01 -4.330177081e+04 1.030586458e+04 1.4e-02 0.12
7 1.9e+01 2.5e+01 1.1e+03 3.42e-01 -2.853323996e+04 6.914887438e+03 8.5e-03 0.13
8 1.1e+01 1.5e+01 6.3e+02 6.05e-01 -1.808894478e+04 4.388508050e+03 5.0e-03 0.14
9 4.5e+00 5.7e+00 2.5e+02 7.74e-01 -7.326210737e+03 2.100233026e+03 2.0e-03 0.15
10 2.1e+00 2.7e+00 1.2e+02 9.30e-01 -3.203271925e+03 1.327239260e+03 9.3e-04 0.17
11 1.3e+00 1.7e+00 7.5e+01 9.81e-01 -2.002124602e+03 8.889958298e+02 6.0e-04 0.17
12 8.1e-01 1.0e+00 4.5e+01 9.84e-01 -1.160049751e+03 6.061239144e+02 3.6e-04 0.18
13 6.4e-01 8.5e-01 3.6e+01 9.55e-01 -9.074185423e+02 5.061545035e+02 2.9e-04 0.19
14 3.6e-01 4.9e-01 2.0e+01 9.93e-01 -4.159484762e+02 3.800109227e+02 1.6e-04 0.21
15 1.8e-01 2.4e-01 9.9e+00 9.93e-01 -1.329964463e+02 2.580949633e+02 8.0e-05 0.22
16 7.9e-02 1.3e-01 4.5e+00 1.01e+00 2.194846118e+01 1.995883922e+02 3.7e-05 0.23
17 6.8e-02 1.1e-01 3.9e+00 1.02e+00 4.516595834e+01 1.977866776e+02 3.2e-05 0.24
18 2.8e-02 7.4e-02 1.6e+00 1.02e+00 1.183235894e+02 1.806140681e+02 1.3e-05 0.25
19 8.1e-03 2.0e-01 4.7e-01 1.01e+00 1.533665605e+02 1.714093815e+02 3.8e-06 0.26
20 2.9e-03 2.4e-01 1.7e-01 1.00e+00 1.613683010e+02 1.680689453e+02 1.4e-06 0.28
21 1.7e-03 1.4e-01 1.0e-01 1.01e+00 1.635977267e+02 1.674592383e+02 8.2e-07 0.29
22 5.0e-04 1.2e-01 3.1e-02 1.01e+00 1.656258674e+02 1.668059050e+02 2.6e-07 0.30
23 1.8e-04 1.1e-01 1.1e-02 1.01e+00 1.661712247e+02 1.666014817e+02 9.5e-08 0.31
24 8.3e-05 8.8e-02 5.3e-03 1.01e+00 1.663353082e+02 1.665344356e+02 4.4e-08 0.32
25 3.7e-05 8.0e-02 2.4e-03 1.01e+00 1.664121476e+02 1.665025012e+02 2.0e-08 0.34
26 3.4e-05 7.3e-02 2.2e-03 1.01e+00 1.664199941e+02 1.665013345e+02 1.8e-08 0.35
27 3.0e-05 6.6e-02 1.9e-03 1.01e+00 1.664255146e+02 1.664986931e+02 1.6e-08 0.36
28 2.7e-05 6.1e-02 1.7e-03 1.01e+00 1.664306046e+02 1.664964512e+02 1.5e-08 0.37
29 2.5e-05 5.5e-02 1.6e-03 1.01e+00 1.664351592e+02 1.664944088e+02 1.3e-08 0.38
30 2.2e-05 5.1e-02 1.4e-03 1.01e+00 1.664392533e+02 1.664925680e+02 1.2e-08 0.39
31 2.0e-05 4.6e-02 1.3e-03 1.00e+00 1.664429307e+02 1.664909058e+02 1.1e-08 0.40
32 1.8e-05 4.2e-02 1.1e-03 1.00e+00 1.664462348e+02 1.664894058e+02 9.7e-09 0.41
33 1.6e-05 3.9e-02 1.0e-03 1.00e+00 1.664492036e+02 1.664880522e+02 8.7e-09 0.42
34 1.5e-05 3.6e-02 9.3e-04 1.00e+00 1.664518716e+02 1.664868310e+02 7.8e-09 0.43
35 1.3e-05 3.3e-02 8.3e-04 1.00e+00 1.664542695e+02 1.664857294e+02 7.1e-09 0.44
36 1.2e-05 3.0e-02 7.5e-04 1.00e+00 1.664564248e+02 1.664847359e+02 6.4e-09 0.46
37 1.1e-05 2.8e-02 6.8e-04 1.00e+00 1.664583624e+02 1.664838400e+02 5.7e-09 0.47
38 9.5e-06 2.6e-02 6.1e-04 1.00e+00 1.664601043e+02 1.664830323e+02 5.2e-09 0.48
39 8.6e-06 2.4e-02 5.5e-04 1.00e+00 1.664616705e+02 1.664823043e+02 4.6e-09 0.49
40 7.7e-06 2.3e-02 4.9e-04 1.00e+00 1.664630789e+02 1.664816480e+02 4.2e-09 0.50
41 6.9e-06 2.1e-02 4.4e-04 1.00e+00 1.664643454e+02 1.664810567e+02 3.8e-09 0.51
42 6.3e-06 2.0e-02 4.0e-04 1.00e+00 1.664654844e+02 1.664805239e+02 3.4e-09 0.52
43 5.6e-06 1.9e-02 3.6e-04 1.00e+00 1.664665089e+02 1.664800438e+02 3.0e-09 0.53
44 5.1e-06 1.7e-02 3.2e-04 1.00e+00 1.664674304e+02 1.664796114e+02 2.7e-09 0.54
45 4.6e-06 1.6e-02 2.9e-04 1.00e+00 1.664682593e+02 1.664792219e+02 2.5e-09 0.55
46 4.1e-06 1.6e-02 2.6e-04 1.00e+00 1.664690050e+02 1.664788710e+02 2.2e-09 0.56
47 3.7e-06 1.5e-02 2.4e-04 1.00e+00 1.664696758e+02 1.664785549e+02 2.0e-09 0.57
48 3.3e-06 1.4e-02 2.1e-04 1.00e+00 1.664702792e+02 1.664782702e+02 1.8e-09 0.58
49 3.0e-06 1.3e-02 1.9e-04 1.00e+00 1.664708220e+02 1.664780138e+02 1.6e-09 0.59
50 2.7e-06 1.3e-02 1.7e-04 1.00e+00 1.664713103e+02 1.664777829e+02 1.5e-09 0.60
51 2.4e-06 1.2e-02 1.5e-04 1.00e+00 1.664717497e+02 1.664775749e+02 1.3e-09 0.61
52 2.2e-06 1.2e-02 1.4e-04 1.00e+00 1.664721450e+02 1.664773877e+02 1.2e-09 0.62
53 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664725008e+02 1.664772192e+02 1.1e-09 0.63
54 1.8e-06 1.1e-02 1.1e-04 1.00e+00 1.664728209e+02 1.664770674e+02 9.6e-10 0.64
55 1.6e-06 1.1e-02 1.0e-04 1.00e+00 1.664731090e+02 1.664769309e+02 8.6e-10 0.65
56 1.4e-06 1.0e-02 9.1e-05 1.00e+00 1.664733683e+02 1.664768079e+02 7.7e-10 0.66
57 1.3e-06 1.0e-02 8.2e-05 1.00e+00 1.664736016e+02 1.664766973e+02 7.0e-10 0.67
58 1.2e-06 9.9e-03 7.4e-05 1.00e+00 1.664738116e+02 1.664765977e+02 6.3e-10 0.68
59 1.0e-06 9.6e-03 6.7e-05 1.00e+00 1.664740006e+02 1.664765080e+02 5.6e-10 0.69
60 9.4e-07 9.4e-03 6.0e-05 1.00e+00 1.664741706e+02 1.664764273e+02 5.1e-10 0.70
61 8.4e-07 9.3e-03 5.4e-05 1.00e+00 1.664743236e+02 1.664763547e+02 4.6e-10 0.71
62 7.6e-07 9.1e-03 4.9e-05 1.00e+00 1.664744613e+02 1.664762893e+02 4.1e-10 0.72
63 6.8e-07 8.9e-03 4.4e-05 1.00e+00 1.664745852e+02 1.664762303e+02 3.7e-10 0.73
64 6.2e-07 8.8e-03 3.9e-05 1.00e+00 1.664746967e+02 1.664761773e+02 3.3e-10 0.74
65 5.5e-07 8.7e-03 3.5e-05 1.00e+00 1.664747970e+02 1.664761295e+02 3.0e-10 0.75
66 5.0e-07 8.6e-03 3.2e-05 1.00e+00 1.664748872e+02 1.664760865e+02 2.7e-10 0.76
67 4.5e-07 8.5e-03 2.9e-05 1.00e+00 1.664749683e+02 1.664760477e+02 2.4e-10 0.77
68 4.0e-07 8.4e-03 2.6e-05 1.00e+00 1.664750413e+02 1.664760127e+02 2.2e-10 0.78
69 3.6e-07 8.3e-03 2.3e-05 1.00e+00 1.664751070e+02 1.664759813e+02 2.0e-10 0.79
70 3.3e-07 8.2e-03 2.1e-05 1.00e+00 1.664751660e+02 1.664759529e+02 1.8e-10 0.80
71 2.9e-07 8.2e-03 1.9e-05 1.00e+00 1.664752192e+02 1.664759273e+02 1.6e-10 0.81
72 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752670e+02 1.664759043e+02 1.4e-10 0.82
73 2.4e-07 8.1e-03 1.5e-05 1.00e+00 1.664753100e+02 1.664758836e+02 1.3e-10 0.84
74 2.1e-07 8.0e-03 1.4e-05 1.00e+00 1.664753487e+02 1.664758649e+02 1.2e-10 0.85
75 1.9e-07 8.0e-03 1.2e-05 1.00e+00 1.664753835e+02 1.664758481e+02 1.0e-10 0.86
76 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.664754149e+02 1.664758329e+02 9.4e-11 0.87
77 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.664754431e+02 1.664758193e+02 8.5e-11 0.88
78 1.4e-07 7.1e-03 9.0e-06 1.01e+00 1.664754688e+02 1.664758068e+02 7.6e-11 0.89
79 1.3e-07 6.4e-03 8.1e-06 1.00e+00 1.664754916e+02 1.664757958e+02 6.9e-11 0.90
80 1.1e-07 5.7e-03 7.3e-06 9.99e-01 1.664755121e+02 1.664757859e+02 6.2e-11 0.91
81 1.0e-07 5.2e-03 6.6e-06 9.98e-01 1.664755306e+02 1.664757770e+02 5.6e-11 0.93
82 9.2e-08 4.7e-03 5.9e-06 9.96e-01 1.664755472e+02 1.664757690e+02 5.0e-11 0.94
83 8.3e-08 4.2e-03 5.3e-06 1.00e+00 1.664755622e+02 1.664757617e+02 4.5e-11 0.95
84 7.5e-08 3.8e-03 4.8e-06 9.95e-01 1.664755756e+02 1.664757552e+02 4.1e-11 0.97
85 6.7e-08 3.4e-03 4.3e-06 9.97e-01 1.664755877e+02 1.664757494e+02 3.7e-11 0.98
86 6.1e-08 3.1e-03 3.9e-06 1.01e+00 1.664755988e+02 1.664757440e+02 3.3e-11 0.99
87 5.5e-08 2.7e-03 3.5e-06 1.01e+00 1.664756087e+02 1.664757391e+02 3.0e-11 1.00
88 4.9e-08 2.5e-03 3.1e-06 1.00e+00 1.664756175e+02 1.664757349e+02 2.7e-11 1.02
89 4.4e-08 2.2e-03 2.8e-06 1.01e+00 1.664756256e+02 1.664757309e+02 2.4e-11 1.03
90 4.0e-08 2.0e-03 2.5e-06 1.00e+00 1.664756327e+02 1.664757275e+02 2.2e-11 1.04
91 3.6e-08 1.8e-03 2.3e-06 1.01e+00 1.664756394e+02 1.664757242e+02 2.0e-11 1.05
92 3.2e-08 1.6e-03 2.1e-06 9.94e-01 1.664756451e+02 1.664757215e+02 1.8e-11 1.06
93 2.9e-08 1.5e-03 1.9e-06 1.02e+00 1.664756505e+02 1.664757188e+02 1.6e-11 1.08
94 2.6e-08 1.3e-03 1.7e-06 1.00e+00 1.664756552e+02 1.664757165e+02 1.4e-11 1.09
95 2.3e-08 1.2e-03 1.5e-06 1.00e+00 1.664756593e+02 1.664757145e+02 1.3e-11 1.10
96 2.1e-08 1.1e-03 1.4e-06 1.01e+00 1.664756631e+02 1.664757127e+02 1.2e-11 1.11
97 1.9e-08 9.6e-04 1.2e-06 9.90e-01 1.664756665e+02 1.664757111e+02 1.1e-11 1.13
98 1.7e-08 8.6e-04 1.1e-06 9.98e-01 1.664756695e+02 1.664757096e+02 9.5e-12 1.14
99 1.5e-08 7.8e-04 9.8e-07 1.03e+00 1.664756725e+02 1.664757081e+02 8.7e-12 1.15
100 1.4e-08 7.0e-04 8.9e-07 9.71e-01 1.664756749e+02 1.664757070e+02 7.8e-12 1.16
101 1.2e-08 6.3e-04 8.0e-07 1.02e+00 1.664756772e+02 1.664757059e+02 7.1e-12 1.17
102 1.1e-08 5.7e-04 7.2e-07 9.34e-01 1.664756791e+02 1.664757050e+02 6.4e-12 1.18
103 1.0e-08 5.1e-04 6.5e-07 9.98e-01 1.664756809e+02 1.664757042e+02 5.7e-12 1.20
104 9.1e-09 4.6e-04 5.8e-07 1.03e+00 1.664756827e+02 1.664757033e+02 5.2e-12 1.21
105 2.1e-09 4.7e-05 6.0e-08 9.89e-01 1.664756951e+02 1.664756973e+02 5.6e-13 1.22
Interior-point optimizer terminated. Time: 1.22.
Optimizer terminated. Time: 1.23
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569514e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.6647569726e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.24 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280507085e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258771624e+05 3.574359706e+00 4.8e-01 0.05
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197602098e+05 1.017425551e+01 1.9e-01 0.06
3 2.9e+02 3.6e+02 1.6e+04 -8.40e-01 -1.150415153e+05 6.302665753e+01 1.2e-01 0.07
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124385252e+05 2.261511431e+03 1.2e-01 0.08
5 7.5e+01 9.6e+01 4.2e+03 -7.52e-01 -7.457724956e+04 9.579685711e+03 3.3e-02 0.09
6 3.0e+01 3.8e+01 1.7e+03 -1.97e-01 -4.046194094e+04 1.027494935e+04 1.3e-02 0.10
7 1.8e+01 2.3e+01 1.0e+03 3.92e-01 -2.694174194e+04 6.671789387e+03 7.9e-03 0.11
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.557332595e+04 3.882110291e+03 4.3e-03 0.12
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.391547870e+03 1.890778116e+03 1.7e-03 0.13
10 2.1e+00 2.6e+00 1.2e+02 9.41e-01 -3.269339047e+03 1.203686445e+03 9.2e-04 0.14
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.531728356e+03 7.332098519e+02 4.7e-04 0.15
12 8.1e-01 1.0e+00 4.5e+01 9.78e-01 -1.183153984e+03 6.026765222e+02 3.6e-04 0.16
13 4.8e-01 6.1e-01 2.7e+01 9.74e-01 -6.439288089e+02 4.230719062e+02 2.2e-04 0.17
14 2.7e-01 3.5e-01 1.5e+01 1.00e+00 -2.812264295e+02 3.129613383e+02 1.2e-04 0.18
15 9.6e-02 1.5e-01 5.4e+00 1.00e+00 -7.783398309e+00 2.065095318e+02 4.4e-05 0.19
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.588806185e+01 2.085235870e+02 4.0e-05 0.20
17 5.7e-02 9.1e-02 3.3e+00 1.02e+00 6.584586976e+01 1.938296475e+02 2.7e-05 0.21
18 2.7e-02 7.0e-02 1.6e+00 1.02e+00 1.194026512e+02 1.796942944e+02 1.3e-05 0.22
19 7.7e-03 1.9e-01 4.5e-01 1.02e+00 1.539661862e+02 1.710724197e+02 3.6e-06 0.23
20 3.1e-03 2.3e-01 1.8e-01 1.01e+00 1.611159705e+02 1.680967568e+02 1.5e-06 0.24
21 1.8e-03 1.4e-01 1.1e-01 1.01e+00 1.633748374e+02 1.674649378e+02 8.7e-07 0.25
22 5.3e-04 1.3e-01 3.3e-02 1.01e+00 1.655449037e+02 1.667967045e+02 2.7e-07 0.27
23 3.8e-04 1.1e-01 2.4e-02 9.97e-01 1.658044197e+02 1.666959410e+02 1.9e-07 0.28
24 2.1e-04 7.7e-02 1.3e-02 9.85e-01 1.660854137e+02 1.665889106e+02 1.1e-07 0.29
25 1.8e-04 6.6e-02 1.1e-02 1.00e+00 1.661391635e+02 1.665725871e+02 9.5e-08 0.30
26 1.7e-04 6.0e-02 1.0e-02 1.01e+00 1.661713359e+02 1.665611551e+02 8.5e-08 0.31
27 1.5e-04 5.5e-02 9.2e-03 1.01e+00 1.661989204e+02 1.665496360e+02 7.7e-08 0.33
28 1.3e-04 5.0e-02 8.3e-03 1.01e+00 1.662238920e+02 1.665394611e+02 6.9e-08 0.34
29 1.2e-04 4.6e-02 7.5e-03 1.01e+00 1.662462582e+02 1.665302101e+02 6.2e-08 0.35
30 1.1e-04 4.2e-02 6.7e-03 1.01e+00 1.662663322e+02 1.665218399e+02 5.6e-08 0.36
31 9.8e-05 3.9e-02 6.1e-03 1.01e+00 1.662843447e+02 1.665142617e+02 5.0e-08 0.37
32 8.8e-05 3.5e-02 5.5e-03 1.01e+00 1.663005090e+02 1.665074020e+02 4.5e-08 0.39
33 7.9e-05 3.3e-02 4.9e-03 1.00e+00 1.663150153e+02 1.665011929e+02 4.1e-08 0.40
34 7.1e-05 3.0e-02 4.4e-03 1.00e+00 1.663280342e+02 1.664955730e+02 3.7e-08 0.41
35 6.4e-05 2.8e-02 4.0e-03 1.00e+00 1.663397190e+02 1.664904870e+02 3.3e-08 0.42
36 5.8e-05 2.6e-02 3.6e-03 1.00e+00 1.663502074e+02 1.664858850e+02 3.0e-08 0.44
37 5.2e-05 2.4e-02 3.2e-03 1.00e+00 1.663596226e+02 1.664817217e+02 2.7e-08 0.44
38 4.7e-05 2.2e-02 2.9e-03 1.00e+00 1.663680754e+02 1.664779560e+02 2.4e-08 0.45
39 4.2e-05 2.1e-02 2.6e-03 1.00e+00 1.663756651e+02 1.664745507e+02 2.2e-08 0.46
40 3.8e-05 2.0e-02 2.4e-03 1.00e+00 1.663824804e+02 1.664714721e+02 2.0e-08 0.47
41 3.4e-05 1.8e-02 2.1e-03 1.00e+00 1.663886010e+02 1.664686893e+02 1.8e-08 0.48
42 3.1e-05 1.7e-02 1.9e-03 1.00e+00 1.663940982e+02 1.664661743e+02 1.6e-08 0.49
43 2.8e-05 1.6e-02 1.7e-03 1.00e+00 1.663990358e+02 1.664639018e+02 1.4e-08 0.51
44 2.5e-05 1.5e-02 1.5e-03 1.00e+00 1.664034713e+02 1.664618486e+02 1.3e-08 0.52
45 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664074559e+02 1.664599940e+02 1.2e-08 0.53
46 2.0e-05 1.4e-02 1.3e-03 1.00e+00 1.664110357e+02 1.664583189e+02 1.0e-08 0.54
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664142521e+02 1.664568060e+02 9.4e-09 0.55
48 1.6e-05 1.3e-02 1.0e-03 1.00e+00 1.664171421e+02 1.664554400e+02 8.4e-09 0.57
49 1.5e-05 1.2e-02 9.1e-04 1.00e+00 1.664197390e+02 1.664542067e+02 7.6e-09 0.58
50 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.664220727e+02 1.664530933e+02 6.8e-09 0.59
51 1.2e-05 1.1e-02 7.4e-04 1.00e+00 1.664241701e+02 1.664520884e+02 6.2e-09 0.60
52 1.1e-05 1.1e-02 6.6e-04 1.00e+00 1.664260552e+02 1.664511815e+02 5.5e-09 0.61
53 9.6e-06 1.1e-02 6.0e-04 1.00e+00 1.664277495e+02 1.664503632e+02 5.0e-09 0.61
54 8.7e-06 1.0e-02 5.4e-04 1.00e+00 1.664292726e+02 1.664496248e+02 4.5e-09 0.62
55 7.8e-06 1.0e-02 4.8e-04 1.00e+00 1.664306417e+02 1.664489588e+02 4.0e-09 0.63
56 7.0e-06 1.0e-02 4.4e-04 1.00e+00 1.664318726e+02 1.664483580e+02 3.6e-09 0.64
57 6.3e-06 9.8e-03 3.9e-04 1.00e+00 1.664329793e+02 1.664478162e+02 3.3e-09 0.65
58 5.7e-06 9.6e-03 3.5e-04 1.00e+00 1.664339743e+02 1.664473276e+02 2.9e-09 0.66
59 5.1e-06 9.4e-03 3.2e-04 1.00e+00 1.664348689e+02 1.664468870e+02 2.7e-09 0.67
60 4.6e-06 9.3e-03 2.9e-04 1.00e+00 1.664356734e+02 1.664464897e+02 2.4e-09 0.68
61 4.1e-06 9.1e-03 2.6e-04 1.00e+00 1.664363967e+02 1.664461315e+02 2.1e-09 0.69
62 3.7e-06 9.0e-03 2.3e-04 1.00e+00 1.664370472e+02 1.664458085e+02 1.9e-09 0.69
63 3.4e-06 8.9e-03 2.1e-04 1.00e+00 1.664376320e+02 1.664455173e+02 1.7e-09 0.70
64 3.0e-06 8.8e-03 1.9e-04 1.00e+00 1.664381580e+02 1.664452548e+02 1.6e-09 0.71
65 2.7e-06 8.7e-03 1.7e-04 1.00e+00 1.664386310e+02 1.664450182e+02 1.4e-09 0.72
66 2.4e-06 8.6e-03 1.5e-04 1.00e+00 1.664390564e+02 1.664448050e+02 1.3e-09 0.73
67 2.2e-06 8.5e-03 1.4e-04 1.00e+00 1.664394391e+02 1.664446129e+02 1.1e-09 0.74
68 2.0e-06 8.4e-03 1.2e-04 1.00e+00 1.664397834e+02 1.664444397e+02 1.0e-09 0.75
69 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400930e+02 1.664442838e+02 9.2e-10 0.76
70 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403716e+02 1.664441434e+02 8.3e-10 0.77
71 1.4e-06 8.2e-03 9.0e-05 1.00e+00 1.664406223e+02 1.664440169e+02 7.5e-10 0.78
72 1.3e-06 8.2e-03 8.1e-05 1.00e+00 1.664408478e+02 1.664439029e+02 6.7e-10 0.78
73 1.2e-06 8.1e-03 7.3e-05 1.00e+00 1.664410506e+02 1.664438003e+02 6.1e-10 0.79
74 1.1e-06 8.1e-03 6.6e-05 1.00e+00 1.664412331e+02 1.664437079e+02 5.5e-10 0.80
75 9.5e-07 8.0e-03 5.9e-05 1.00e+00 1.664413973e+02 1.664436246e+02 4.9e-10 0.82
76 8.5e-07 8.0e-03 5.3e-05 1.00e+00 1.664415450e+02 1.664435496e+02 4.4e-10 0.83
77 7.7e-07 8.0e-03 4.8e-05 1.00e+00 1.664416779e+02 1.664434821e+02 4.0e-10 0.84
78 6.9e-07 7.9e-03 4.3e-05 1.00e+00 1.664417975e+02 1.664434212e+02 3.6e-10 0.85
79 6.2e-07 7.9e-03 3.9e-05 1.00e+00 1.664419050e+02 1.664433664e+02 3.2e-10 0.86
80 5.6e-07 7.9e-03 3.5e-05 1.00e+00 1.664420018e+02 1.664433170e+02 2.9e-10 0.87
81 5.0e-07 7.8e-03 3.1e-05 1.00e+00 1.664420888e+02 1.664432725e+02 2.6e-10 0.88
82 4.5e-07 7.8e-03 2.8e-05 1.00e+00 1.664421671e+02 1.664432325e+02 2.4e-10 0.89
83 4.1e-07 7.8e-03 2.5e-05 1.00e+00 1.664422376e+02 1.664431964e+02 2.1e-10 0.90
84 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664423009e+02 1.664431639e+02 1.9e-10 0.92
85 3.3e-07 7.7e-03 2.1e-05 1.00e+00 1.664423579e+02 1.664431346e+02 1.7e-10 0.93
86 3.0e-07 7.7e-03 1.9e-05 1.00e+00 1.664424092e+02 1.664431082e+02 1.5e-10 0.94
87 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424554e+02 1.664430844e+02 1.4e-10 0.95
88 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424969e+02 1.664430631e+02 1.3e-10 0.97
89 2.2e-07 7.7e-03 1.3e-05 9.99e-01 1.664425343e+02 1.664430439e+02 1.1e-10 0.98
90 2.0e-07 7.6e-03 1.2e-05 1.00e+00 1.664425680e+02 1.664430265e+02 1.0e-10 0.99
91 1.8e-07 7.6e-03 1.1e-05 9.99e-01 1.664425982e+02 1.664430110e+02 9.1e-11 1.00
92 1.6e-07 7.6e-03 9.8e-06 1.00e+00 1.664426255e+02 1.664429970e+02 8.2e-11 1.01
93 1.4e-07 7.6e-03 8.9e-06 1.00e+00 1.664426500e+02 1.664429843e+02 7.4e-11 1.03
94 1.3e-07 7.6e-03 8.0e-06 9.99e-01 1.664426721e+02 1.664429730e+02 6.6e-11 1.04
95 1.2e-07 7.6e-03 7.2e-06 1.00e+00 1.664426920e+02 1.664429628e+02 6.0e-11 1.05
96 1.0e-07 7.6e-03 6.5e-06 1.00e+00 1.664427099e+02 1.664429536e+02 5.4e-11 1.06
97 9.3e-08 7.5e-03 5.8e-06 1.00e+00 1.664427260e+02 1.664429453e+02 4.8e-11 1.07
98 8.4e-08 7.5e-03 5.2e-06 1.00e+00 1.664427404e+02 1.664429378e+02 4.4e-11 1.09
99 7.6e-08 7.5e-03 4.7e-06 9.94e-01 1.664427535e+02 1.664429312e+02 3.9e-11 1.10
100 6.8e-08 6.8e-03 4.2e-06 1.00e+00 1.664427652e+02 1.664429251e+02 3.5e-11 1.11
101 6.1e-08 6.1e-03 3.8e-06 1.00e+00 1.664427758e+02 1.664429197e+02 3.2e-11 1.12
102 5.5e-08 5.5e-03 3.4e-06 9.93e-01 1.664427853e+02 1.664429148e+02 2.9e-11 1.13
103 5.0e-08 4.9e-03 3.1e-06 1.01e+00 1.664427939e+02 1.664429104e+02 2.6e-11 1.14
104 4.5e-08 4.4e-03 2.8e-06 9.88e-01 1.664428016e+02 1.664429064e+02 2.3e-11 1.15
105 4.0e-08 4.0e-03 2.5e-06 1.00e+00 1.664428085e+02 1.664429029e+02 2.1e-11 1.16
106 3.6e-08 3.6e-03 2.3e-06 9.93e-01 1.664428148e+02 1.664428997e+02 1.9e-11 1.18
107 3.3e-08 3.2e-03 2.0e-06 1.00e+00 1.664428204e+02 1.664428968e+02 1.7e-11 1.19
108 2.9e-08 2.9e-03 1.8e-06 9.89e-01 1.664428254e+02 1.664428942e+02 1.5e-11 1.20
109 2.6e-08 2.6e-03 1.6e-06 9.83e-01 1.664428299e+02 1.664428919e+02 1.4e-11 1.21
110 2.4e-08 2.4e-03 1.5e-06 1.02e+00 1.664428343e+02 1.664428896e+02 1.2e-11 1.22
111 2.1e-08 2.1e-03 1.3e-06 9.81e-01 1.664428380e+02 1.664428878e+02 1.1e-11 1.23
112 1.9e-08 1.9e-03 1.2e-06 1.00e+00 1.664428413e+02 1.664428861e+02 1.0e-11 1.24
113 1.7e-08 1.7e-03 1.1e-06 1.01e+00 1.664428443e+02 1.664428845e+02 9.1e-12 1.25
114 1.6e-08 1.5e-03 9.7e-07 1.04e+00 1.664428474e+02 1.664428828e+02 8.3e-12 1.26
115 1.4e-08 1.4e-03 8.7e-07 1.00e+00 1.664428498e+02 1.664428816e+02 7.5e-12 1.27
116 1.3e-08 1.3e-03 7.8e-07 9.90e-01 1.664428519e+02 1.664428806e+02 6.8e-12 1.28
117 1.1e-08 1.1e-03 7.1e-07 9.58e-01 1.664428538e+02 1.664428796e+02 6.1e-12 1.29
118 1.0e-08 1.0e-03 6.4e-07 1.05e+00 1.664428558e+02 1.664428785e+02 5.6e-12 1.30
119 9.2e-09 9.1e-04 5.7e-07 9.86e-01 1.664428573e+02 1.664428777e+02 5.0e-12 1.31
120 8.4e-09 8.2e-04 5.1e-07 1.05e+00 1.664428590e+02 1.664428768e+02 4.6e-12 1.31
121 7.6e-09 7.4e-04 4.6e-07 9.51e-01 1.664428602e+02 1.664428762e+02 4.2e-12 1.32
122 6.9e-09 6.7e-04 4.2e-07 8.98e-01 1.664428612e+02 1.664428757e+02 3.8e-12 1.33
123 6.3e-09 6.0e-04 3.8e-07 1.35e+00 1.664428622e+02 1.664428754e+02 3.4e-12 1.34
124 7.0e-09 5.4e-04 3.4e-07 9.78e-01 1.664428630e+02 1.664428749e+02 3.1e-12 1.35
125 6.5e-09 4.9e-04 3.0e-07 1.09e+00 1.664428641e+02 1.664428743e+02 2.9e-12 1.37
126 6.0e-09 4.4e-04 2.7e-07 9.71e-01 1.664428648e+02 1.664428739e+02 2.6e-12 1.38
127 6.6e-09 3.9e-04 2.5e-07 2.09e+00 1.664428653e+02 1.664428739e+02 2.3e-12 1.39
128 6.5e-09 3.5e-04 2.2e-07 7.31e-01 1.664428659e+02 1.664428737e+02 2.1e-12 1.40
129 6.2e-09 3.2e-04 2.0e-07 6.16e-01 1.664428663e+02 1.664428735e+02 1.9e-12 1.41
130 5.3e-09 2.9e-04 1.8e-07 1.38e+00 1.664428668e+02 1.664428732e+02 1.7e-12 1.43
131 5.5e-09 2.6e-04 1.6e-07 9.78e-01 1.664428672e+02 1.664428730e+02 1.5e-12 1.44
132 4.3e-09 2.3e-04 1.5e-07 6.43e-01 1.664428676e+02 1.664428727e+02 1.4e-12 1.45
133 3.3e-09 2.1e-04 1.3e-07 2.01e+00 1.664428679e+02 1.664428724e+02 1.2e-12 1.46
134 3.7e-09 1.9e-04 1.2e-07 4.74e-01 1.664428682e+02 1.664428723e+02 1.1e-12 1.47
135 4.7e-09 1.7e-04 1.1e-07 6.06e-01 1.664428684e+02 1.664428723e+02 1.0e-12 1.48
136 6.9e-09 1.5e-04 9.5e-08 1.16e+00 1.664428688e+02 1.664428719e+02 9.8e-13 1.49
Interior-point optimizer terminated. Time: 1.49.
Optimizer terminated. Time: 1.50
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286885e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6644287195e+02 Viol. con: 0e+00 var: 9e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.52 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280489614e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258746560e+05 3.573540512e+00 4.8e-01 0.05
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197248566e+05 1.020047502e+01 1.9e-01 0.06
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150061333e+05 6.350451990e+01 1.2e-01 0.07
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124090185e+05 2.256518955e+03 1.2e-01 0.09
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.445947380e+04 9.583522273e+03 3.3e-02 0.10
6 3.0e+01 3.8e+01 1.7e+03 -1.95e-01 -4.029027855e+04 1.021235886e+04 1.3e-02 0.11
7 1.8e+01 2.3e+01 9.9e+02 3.95e-01 -2.693755158e+04 6.641978263e+03 7.9e-03 0.12
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.531787412e+04 3.830169313e+03 4.2e-03 0.13
9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.905184903e+03 1.796573063e+03 1.6e-03 0.14
10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.113325196e+03 1.193555547e+03 8.9e-04 0.15
11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.224279920e+03 6.160629306e+02 3.8e-04 0.16
12 8.2e-01 1.1e+00 4.6e+01 9.50e-01 -1.207775379e+03 5.913565960e+02 3.7e-04 0.17
13 5.1e-01 6.6e-01 2.8e+01 9.72e-01 -7.035587981e+02 4.268400713e+02 2.3e-04 0.17
14 3.1e-01 4.1e-01 1.8e+01 1.00e+00 -3.505819552e+02 3.411874294e+02 1.4e-04 0.18
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.684485302e+01 2.143803470e+02 5.0e-05 0.19
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.198003778e+01 2.045204667e+02 3.8e-05 0.21
17 4.1e-02 8.3e-02 2.4e+00 1.02e+00 9.510833204e+01 1.869523518e+02 1.9e-05 0.22
18 1.4e-02 8.3e-02 8.2e-01 1.02e+00 1.425310195e+02 1.741991857e+02 6.7e-06 0.23
19 6.3e-03 7.2e-02 3.6e-01 1.01e+00 1.556729452e+02 1.695991552e+02 2.9e-06 0.24
20 1.5e-03 1.6e-01 9.2e-02 1.01e+00 1.638768905e+02 1.673910634e+02 7.5e-07 0.25
21 8.1e-04 1.1e-01 5.0e-02 9.78e-01 1.650487279e+02 1.669447731e+02 4.1e-07 0.26
22 2.5e-04 1.1e-01 1.6e-02 9.89e-01 1.659980299e+02 1.666010698e+02 1.3e-07 0.27
23 1.2e-04 8.9e-02 7.5e-03 1.01e+00 1.662206318e+02 1.665064924e+02 6.3e-08 0.28
24 4.6e-05 8.6e-02 3.0e-03 1.01e+00 1.663410684e+02 1.664565321e+02 2.6e-08 0.29
25 2.1e-05 7.8e-02 1.4e-03 1.01e+00 1.663845749e+02 1.664381909e+02 1.2e-08 0.30
26 1.9e-05 7.1e-02 1.3e-03 1.00e+00 1.663890849e+02 1.664373672e+02 1.1e-08 0.31
27 1.7e-05 6.5e-02 1.2e-03 1.01e+00 1.663923592e+02 1.664358006e+02 9.7e-09 0.32
28 1.6e-05 5.9e-02 1.0e-03 1.00e+00 1.663953653e+02 1.664344559e+02 8.8e-09 0.33
29 1.4e-05 5.4e-02 9.3e-04 1.00e+00 1.663980558e+02 1.664332312e+02 7.9e-09 0.34
30 1.3e-05 5.0e-02 8.4e-04 1.00e+00 1.664004751e+02 1.664321281e+02 7.1e-09 0.35
31 1.1e-05 4.5e-02 7.5e-04 1.00e+00 1.664026489e+02 1.664311326e+02 6.4e-09 0.37
32 1.0e-05 4.2e-02 6.8e-04 1.00e+00 1.664046027e+02 1.664302347e+02 5.8e-09 0.38
33 9.2e-06 3.8e-02 6.1e-04 1.00e+00 1.664063587e+02 1.664294249e+02 5.2e-09 0.39
34 8.3e-06 3.5e-02 5.5e-04 1.00e+00 1.664079372e+02 1.664286946e+02 4.7e-09 0.40
35 7.5e-06 3.3e-02 5.0e-04 1.00e+00 1.664093562e+02 1.664280361e+02 4.2e-09 0.41
36 6.7e-06 3.0e-02 4.5e-04 1.00e+00 1.664106318e+02 1.664274423e+02 3.8e-09 0.42
37 6.1e-06 2.8e-02 4.0e-04 1.00e+00 1.664117788e+02 1.664269070e+02 3.4e-09 0.43
38 5.5e-06 2.6e-02 3.6e-04 1.00e+00 1.664128100e+02 1.664264246e+02 3.1e-09 0.44
39 4.9e-06 2.4e-02 3.2e-04 1.00e+00 1.664137373e+02 1.664259896e+02 2.8e-09 0.45
40 4.4e-06 2.2e-02 2.9e-04 1.00e+00 1.664145711e+02 1.664255976e+02 2.5e-09 0.46
41 4.0e-06 2.1e-02 2.6e-04 1.00e+00 1.664153209e+02 1.664252443e+02 2.2e-09 0.46
42 3.6e-06 2.0e-02 2.4e-04 1.00e+00 1.664159952e+02 1.664249259e+02 2.0e-09 0.47
43 3.2e-06 1.8e-02 2.1e-04 1.00e+00 1.664166015e+02 1.664246389e+02 1.8e-09 0.48
44 2.9e-06 1.7e-02 1.9e-04 1.00e+00 1.664171468e+02 1.664243802e+02 1.6e-09 0.49
45 2.6e-06 1.6e-02 1.7e-04 1.00e+00 1.664176373e+02 1.664241471e+02 1.5e-09 0.50
46 2.3e-06 1.6e-02 1.6e-04 1.00e+00 1.664180784e+02 1.664239371e+02 1.3e-09 0.51
47 2.1e-06 1.5e-02 1.4e-04 1.00e+00 1.664184752e+02 1.664237480e+02 1.2e-09 0.52
48 1.9e-06 1.4e-02 1.3e-04 1.00e+00 1.664188322e+02 1.664235776e+02 1.1e-09 0.53
49 1.7e-06 1.3e-02 1.1e-04 1.00e+00 1.664191534e+02 1.664234242e+02 9.6e-10 0.55
50 1.5e-06 1.3e-02 1.0e-04 1.00e+00 1.664194423e+02 1.664232860e+02 8.6e-10 0.56
51 1.4e-06 1.2e-02 9.2e-05 1.00e+00 1.664197023e+02 1.664231616e+02 7.8e-10 0.57
52 1.2e-06 1.2e-02 8.3e-05 1.00e+00 1.664199361e+02 1.664230495e+02 7.0e-10 0.58
53 1.1e-06 1.1e-02 7.4e-05 1.00e+00 1.664201465e+02 1.664229486e+02 6.3e-10 0.59
54 1.0e-06 1.1e-02 6.7e-05 1.00e+00 1.664203359e+02 1.664228577e+02 5.7e-10 0.60
55 9.1e-07 1.1e-02 6.0e-05 1.00e+00 1.664205062e+02 1.664227758e+02 5.1e-10 0.61
56 8.2e-07 1.0e-02 5.4e-05 1.00e+00 1.664206594e+02 1.664227021e+02 4.6e-10 0.62
57 7.4e-07 1.0e-02 4.9e-05 1.00e+00 1.664207973e+02 1.664226357e+02 4.1e-10 0.63
58 6.6e-07 9.9e-03 4.4e-05 1.00e+00 1.664209213e+02 1.664225758e+02 3.7e-10 0.64
59 6.0e-07 9.7e-03 4.0e-05 1.00e+00 1.664210329e+02 1.664225219e+02 3.3e-10 0.65
60 5.4e-07 9.5e-03 3.6e-05 1.00e+00 1.664211333e+02 1.664224734e+02 3.0e-10 0.65
61 4.8e-07 9.3e-03 3.2e-05 1.00e+00 1.664212236e+02 1.664224297e+02 2.7e-10 0.66
62 4.4e-07 9.1e-03 2.9e-05 1.00e+00 1.664213048e+02 1.664223903e+02 2.4e-10 0.67
63 3.9e-07 9.0e-03 2.6e-05 1.00e+00 1.664213779e+02 1.664223548e+02 2.2e-10 0.68
64 3.5e-07 8.9e-03 2.3e-05 1.00e+00 1.664214436e+02 1.664223228e+02 2.0e-10 0.69
65 3.2e-07 8.7e-03 2.1e-05 1.00e+00 1.664215027e+02 1.664222939e+02 1.8e-10 0.70
66 2.9e-07 8.6e-03 1.9e-05 1.00e+00 1.664215559e+02 1.664222680e+02 1.6e-10 0.71
67 2.6e-07 8.5e-03 1.7e-05 1.00e+00 1.664216038e+02 1.664222446e+02 1.4e-10 0.72
68 2.3e-07 8.4e-03 1.5e-05 1.00e+00 1.664216469e+02 1.664222236e+02 1.3e-10 0.73
69 2.1e-07 8.4e-03 1.4e-05 1.00e+00 1.664216856e+02 1.664222046e+02 1.2e-10 0.74
70 1.9e-07 8.3e-03 1.2e-05 9.99e-01 1.664217205e+02 1.664221876e+02 1.1e-10 0.75
71 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217518e+02 1.664221723e+02 9.5e-11 0.76
72 1.5e-07 8.1e-03 1.0e-05 1.00e+00 1.664217801e+02 1.664221585e+02 8.5e-11 0.77
73 1.4e-07 8.1e-03 9.0e-06 1.00e+00 1.664218055e+02 1.664221461e+02 7.7e-11 0.78
74 1.2e-07 8.0e-03 8.1e-06 1.00e+00 1.664218284e+02 1.664221349e+02 6.9e-11 0.79
75 1.1e-07 8.0e-03 7.3e-06 1.00e+00 1.664218489e+02 1.664221248e+02 6.2e-11 0.80
76 1.0e-07 7.9e-03 6.6e-06 1.00e+00 1.664218675e+02 1.664221157e+02 5.6e-11 0.81
77 9.0e-08 7.9e-03 5.9e-06 1.01e+00 1.664218844e+02 1.664221074e+02 5.0e-11 0.82
78 8.1e-08 7.9e-03 5.3e-06 1.00e+00 1.664218993e+02 1.664221001e+02 4.5e-11 0.83
79 7.3e-08 7.8e-03 4.8e-06 9.98e-01 1.664219128e+02 1.664220935e+02 4.1e-11 0.83
80 6.5e-08 7.8e-03 4.3e-06 9.98e-01 1.664219249e+02 1.664220875e+02 3.7e-11 0.85
81 5.9e-08 7.8e-03 3.9e-06 1.00e+00 1.664219358e+02 1.664220822e+02 3.3e-11 0.86
82 5.3e-08 7.7e-03 3.5e-06 9.90e-01 1.664219457e+02 1.664220774e+02 3.0e-11 0.87
83 4.8e-08 7.7e-03 3.2e-06 1.00e+00 1.664219545e+02 1.664220731e+02 2.7e-11 0.88
84 4.3e-08 7.7e-03 2.8e-06 9.98e-01 1.664219625e+02 1.664220692e+02 2.4e-11 0.88
85 3.9e-08 6.9e-03 2.6e-06 1.01e+00 1.664219698e+02 1.664220655e+02 2.2e-11 0.89
86 3.5e-08 6.2e-03 2.3e-06 1.01e+00 1.664219766e+02 1.664220622e+02 2.0e-11 0.90
87 3.1e-08 5.6e-03 2.1e-06 1.01e+00 1.664219825e+02 1.664220593e+02 1.8e-11 0.91
88 2.8e-08 5.0e-03 1.9e-06 9.97e-01 1.664219877e+02 1.664220568e+02 1.6e-11 0.93
89 2.5e-08 4.5e-03 1.7e-06 9.75e-01 1.664219923e+02 1.664220545e+02 1.4e-11 0.94
90 2.3e-08 4.1e-03 1.5e-06 9.88e-01 1.664219964e+02 1.664220525e+02 1.3e-11 0.95
91 2.0e-08 3.7e-03 1.4e-06 9.80e-01 1.664220002e+02 1.664220507e+02 1.2e-11 0.96
92 1.8e-08 3.3e-03 1.2e-06 1.00e+00 1.664220036e+02 1.664220490e+02 1.0e-11 0.97
93 1.7e-08 3.0e-03 1.1e-06 9.88e-01 1.664220066e+02 1.664220476e+02 9.5e-12 0.99
94 1.5e-08 2.7e-03 9.9e-07 1.04e+00 1.664220098e+02 1.664220459e+02 8.7e-12 1.00
95 1.3e-08 2.4e-03 8.9e-07 1.01e+00 1.664220123e+02 1.664220447e+02 7.8e-12 1.01
96 1.2e-08 2.2e-03 8.0e-07 1.02e+00 1.664220147e+02 1.664220435e+02 7.1e-12 1.02
97 1.1e-08 2.0e-03 7.2e-07 9.98e-01 1.664220166e+02 1.664220426e+02 6.4e-12 1.03
98 9.8e-09 1.8e-03 6.5e-07 1.04e+00 1.664220187e+02 1.664220415e+02 5.9e-12 1.04
99 8.9e-09 1.6e-03 5.8e-07 1.00e+00 1.664220202e+02 1.664220408e+02 5.3e-12 1.04
100 8.0e-09 1.4e-03 5.3e-07 1.00e+00 1.664220216e+02 1.664220401e+02 4.8e-12 1.05
101 7.2e-09 1.3e-03 4.7e-07 1.05e+00 1.664220231e+02 1.664220393e+02 4.4e-12 1.06
102 6.5e-09 1.2e-03 4.3e-07 9.44e-01 1.664220242e+02 1.664220388e+02 3.9e-12 1.07
103 5.9e-09 1.0e-03 3.8e-07 9.59e-01 1.664220252e+02 1.664220384e+02 3.6e-12 1.08
104 5.3e-09 9.3e-04 3.5e-07 1.07e+00 1.664220264e+02 1.664220378e+02 3.3e-12 1.10
105 4.8e-09 8.4e-04 3.1e-07 1.03e+00 1.664220272e+02 1.664220373e+02 3.0e-12 1.11
106 4.5e-09 5.2e-05 1.9e-08 7.79e-01 1.664220340e+02 1.664220347e+02 4.5e-13 1.12
Interior-point optimizer terminated. Time: 1.12.
Optimizer terminated. Time: 1.13
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203403e+02 Viol. con: 8e-08 var: 0e+00
Dual. obj: 1.6642203472e+02 Viol. con: 0e+00 var: 4e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.14 seconds.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 925
Eliminator terminated.
Eliminator started.
Total number of eliminations : 935
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 935
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 770
Optimizer - Cones : 0
Optimizer - Scalar variables : 3439 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.45e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 2.9e+03 1.3e+05 0.00e+00 -1.280480931e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.258735667e+05 3.573329410e+00 4.8e-01 0.05
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.197005274e+05 1.021704127e+01 1.9e-01 0.06
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.149813386e+05 6.382264382e+01 1.2e-01 0.07
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.123855408e+05 2.255173889e+03 1.2e-01 0.08
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.423587580e+04 9.613764904e+03 3.3e-02 0.09
6 3.0e+01 3.8e+01 1.6e+03 -1.92e-01 -4.018130307e+04 1.017430684e+04 1.3e-02 0.10
7 1.8e+01 2.3e+01 9.9e+02 3.96e-01 -2.694066821e+04 6.639044340e+03 7.9e-03 0.11
8 9.5e+00 1.2e+01 5.2e+02 6.31e-01 -1.520628338e+04 3.808638967e+03 4.1e-03 0.12
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.318884867e+03 1.679783522e+03 1.4e-03 0.13
10 1.6e+00 2.0e+00 8.9e+01 9.54e-01 -2.417702890e+03 1.055158967e+03 7.1e-04 0.14
11 9.5e-01 1.2e+00 5.3e+01 9.86e-01 -1.370530719e+03 7.033785036e+02 4.2e-04 0.15
12 8.6e-01 1.1e+00 4.8e+01 9.64e-01 -1.258991239e+03 6.420982533e+02 3.8e-04 0.16
13 4.8e-01 6.1e-01 2.7e+01 9.77e-01 -6.393621617e+02 4.225791918e+02 2.1e-04 0.17
14 2.6e-01 3.4e-01 1.4e+01 1.00e+00 -2.623883402e+02 3.061923727e+02 1.2e-04 0.18
15 9.2e-02 1.5e-01 5.3e+00 1.00e+00 -2.393033601e+00 2.056341035e+02 4.3e-05 0.19
16 8.6e-02 1.3e-01 4.9e+00 1.02e+00 1.576529957e+01 2.083365686e+02 4.0e-05 0.20
17 6.0e-02 9.5e-02 3.4e+00 1.02e+00 6.107121850e+01 1.952045119e+02 2.8e-05 0.21
18 3.4e-02 7.3e-02 1.9e+00 1.02e+00 1.081905454e+02 1.827218973e+02 1.6e-05 0.21
19 9.3e-03 1.7e-01 5.4e-01 1.02e+00 1.512029404e+02 1.719128495e+02 4.3e-06 0.22
20 3.4e-03 2.1e-01 2.0e-01 1.01e+00 1.605110413e+02 1.682875028e+02 1.7e-06 0.23
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642779489e+02 1.671863528e+02 6.2e-07 0.24
22 8.5e-04 1.0e-01 5.1e-02 9.84e-01 1.649813627e+02 1.669397423e+02 4.2e-07 0.25
23 2.6e-04 1.1e-01 1.6e-02 9.86e-01 1.659710763e+02 1.665859666e+02 1.3e-07 0.26
24 9.4e-05 1.0e-01 6.0e-03 1.01e+00 1.662464760e+02 1.664756795e+02 5.1e-08 0.27
25 3.7e-05 9.6e-02 2.4e-03 1.01e+00 1.663445761e+02 1.664349664e+02 2.0e-08 0.28
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663787299e+02 1.664206000e+02 9.5e-09 0.29
27 1.5e-05 7.4e-02 1.0e-03 1.00e+00 1.663822232e+02 1.664199216e+02 8.5e-09 0.31
28 1.4e-05 6.7e-02 9.0e-04 1.01e+00 1.663847897e+02 1.664187110e+02 7.7e-09 0.32
29 1.2e-05 6.1e-02 8.1e-04 1.00e+00 1.663871434e+02 1.664176672e+02 6.9e-09 0.33
30 1.1e-05 5.6e-02 7.3e-04 1.00e+00 1.663892515e+02 1.664167186e+02 6.2e-09 0.34
31 1.0e-05 5.1e-02 6.6e-04 1.00e+00 1.663911475e+02 1.664158643e+02 5.6e-09 0.35
32 9.0e-06 4.7e-02 5.9e-04 1.00e+00 1.663928515e+02 1.664150937e+02 5.0e-09 0.36
33 8.1e-06 4.3e-02 5.3e-04 1.00e+00 1.663943835e+02 1.664143991e+02 4.5e-09 0.38
34 7.3e-06 3.9e-02 4.8e-04 1.00e+00 1.663957607e+02 1.664137729e+02 4.1e-09 0.38
35 6.6e-06 3.6e-02 4.3e-04 1.00e+00 1.663969990e+02 1.664132084e+02 3.7e-09 0.39
36 5.9e-06 3.3e-02 3.9e-04 1.00e+00 1.663981125e+02 1.664126996e+02 3.3e-09 0.40
37 5.3e-06 3.1e-02 3.5e-04 1.00e+00 1.663991137e+02 1.664122411e+02 3.0e-09 0.41
38 4.8e-06 2.9e-02 3.1e-04 1.00e+00 1.664000141e+02 1.664118279e+02 2.7e-09 0.42
39 4.3e-06 2.7e-02 2.8e-04 1.00e+00 1.664008238e+02 1.664114555e+02 2.4e-09 0.43
40 3.9e-06 2.5e-02 2.5e-04 1.00e+00 1.664015519e+02 1.664111199e+02 2.2e-09 0.44
41 3.5e-06 2.3e-02 2.3e-04 1.00e+00 1.664022068e+02 1.664108175e+02 2.0e-09 0.45
42 3.1e-06 2.1e-02 2.1e-04 1.00e+00 1.664027957e+02 1.664105450e+02 1.8e-09 0.46
43 2.8e-06 2.0e-02 1.9e-04 1.00e+00 1.664033253e+02 1.664102994e+02 1.6e-09 0.47
44 2.5e-06 1.9e-02 1.7e-04 1.00e+00 1.664038017e+02 1.664100781e+02 1.4e-09 0.48
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664042303e+02 1.664098788e+02 1.3e-09 0.49
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664046158e+02 1.664096994e+02 1.2e-09 0.50
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049626e+02 1.664095377e+02 1.0e-09 0.51
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052746e+02 1.664093922e+02 9.3e-10 0.52
49 1.5e-06 1.4e-02 9.8e-05 1.00e+00 1.664055554e+02 1.664092611e+02 8.4e-10 0.53
50 1.4e-06 1.4e-02 8.9e-05 1.00e+00 1.664058079e+02 1.664091431e+02 7.6e-10 0.55
51 1.2e-06 1.3e-02 8.0e-05 1.00e+00 1.664060352e+02 1.664090368e+02 6.8e-10 0.56
52 1.1e-06 1.2e-02 7.2e-05 1.00e+00 1.664062396e+02 1.664089410e+02 6.1e-10 0.56
53 9.9e-07 1.2e-02 6.5e-05 1.00e+00 1.664064236e+02 1.664088548e+02 5.5e-10 0.57
54 8.9e-07 1.2e-02 5.8e-05 1.00e+00 1.664065891e+02 1.664087772e+02 5.0e-10 0.58
55 8.0e-07 1.1e-02 5.2e-05 1.00e+00 1.664067380e+02 1.664087073e+02 4.5e-10 0.59
56 7.2e-07 1.1e-02 4.7e-05 1.00e+00 1.664068720e+02 1.664086443e+02 4.0e-10 0.60
57 6.5e-07 1.0e-02 4.2e-05 1.00e+00 1.664069925e+02 1.664085876e+02 3.6e-10 0.61
58 5.8e-07 1.0e-02 3.8e-05 1.00e+00 1.664071009e+02 1.664085365e+02 3.3e-10 0.62
59 5.2e-07 9.9e-03 3.4e-05 1.00e+00 1.664071984e+02 1.664084904e+02 2.9e-10 0.63
60 4.7e-07 9.7e-03 3.1e-05 1.00e+00 1.664072862e+02 1.664084489e+02 2.6e-10 0.64
61 4.2e-07 9.5e-03 2.8e-05 1.00e+00 1.664073651e+02 1.664084116e+02 2.4e-10 0.65
62 3.8e-07 9.3e-03 2.5e-05 1.00e+00 1.664074361e+02 1.664083779e+02 2.1e-10 0.66
63 3.4e-07 9.1e-03 2.3e-05 1.00e+00 1.664074999e+02 1.664083476e+02 1.9e-10 0.67
64 3.1e-07 9.0e-03 2.0e-05 1.00e+00 1.664075574e+02 1.664083203e+02 1.7e-10 0.68
65 2.8e-07 8.8e-03 1.8e-05 1.00e+00 1.664076090e+02 1.664082957e+02 1.6e-10 0.69
66 2.5e-07 8.7e-03 1.6e-05 1.00e+00 1.664076555e+02 1.664082735e+02 1.4e-10 0.70
67 2.3e-07 8.6e-03 1.5e-05 1.00e+00 1.664076974e+02 1.664082535e+02 1.3e-10 0.71
68 2.0e-07 8.5e-03 1.3e-05 9.99e-01 1.664077350e+02 1.664082356e+02 1.1e-10 0.72
69 1.8e-07 8.4e-03 1.2e-05 9.99e-01 1.664077689e+02 1.664082194e+02 1.0e-10 0.73
70 1.6e-07 8.3e-03 1.1e-05 1.00e+00 1.664077994e+02 1.664082049e+02 9.2e-11 0.74
71 1.5e-07 8.2e-03 9.7e-06 1.00e+00 1.664078268e+02 1.664081917e+02 8.3e-11 0.75
72 1.3e-07 8.2e-03 8.7e-06 1.00e+00 1.664078515e+02 1.664081799e+02 7.5e-11 0.76
73 1.2e-07 8.1e-03 7.9e-06 1.00e+00 1.664078737e+02 1.664081692e+02 6.7e-11 0.77
74 1.1e-07 8.0e-03 7.1e-06 9.97e-01 1.664078937e+02 1.664081597e+02 6.0e-11 0.78
75 9.7e-08 8.0e-03 6.4e-06 1.00e+00 1.664079117e+02 1.664081511e+02 5.4e-11 0.79
76 8.7e-08 7.9e-03 5.7e-06 1.00e+00 1.664079279e+02 1.664081433e+02 4.9e-11 0.81
77 7.9e-08 7.9e-03 5.2e-06 1.00e+00 1.664079424e+02 1.664081363e+02 4.4e-11 0.82
78 7.1e-08 7.9e-03 4.6e-06 1.00e+00 1.664079555e+02 1.664081300e+02 4.0e-11 0.83
79 6.4e-08 7.8e-03 4.2e-06 1.00e+00 1.664079673e+02 1.664081244e+02 3.6e-11 0.84
80 5.7e-08 7.8e-03 3.8e-06 9.91e-01 1.664079780e+02 1.664081193e+02 3.2e-11 0.85
81 5.2e-08 7.7e-03 3.4e-06 9.95e-01 1.664079875e+02 1.664081148e+02 2.9e-11 0.86
82 4.6e-08 7.7e-03 3.0e-06 9.99e-01 1.664079961e+02 1.664081106e+02 2.6e-11 0.88
83 4.2e-08 6.9e-03 2.7e-06 1.01e+00 1.664080040e+02 1.664081069e+02 2.3e-11 0.89
84 3.8e-08 6.2e-03 2.5e-06 9.95e-01 1.664080109e+02 1.664081035e+02 2.1e-11 0.90
85 3.4e-08 5.6e-03 2.2e-06 1.01e+00 1.664080174e+02 1.664081004e+02 1.9e-11 0.91
86 3.0e-08 5.1e-03 2.0e-06 1.02e+00 1.664080233e+02 1.664080975e+02 1.7e-11 0.92
87 2.7e-08 4.6e-03 1.8e-06 9.92e-01 1.664080283e+02 1.664080951e+02 1.6e-11 0.93
88 2.5e-08 4.1e-03 1.6e-06 1.01e+00 1.664080330e+02 1.664080928e+02 1.4e-11 0.95
89 2.2e-08 3.7e-03 1.5e-06 1.01e+00 1.664080372e+02 1.664080908e+02 1.3e-11 0.96
90 2.0e-08 3.3e-03 1.3e-06 1.02e+00 1.664080411e+02 1.664080889e+02 1.1e-11 0.97
91 1.8e-08 3.0e-03 1.2e-06 1.02e+00 1.664080446e+02 1.664080872e+02 1.0e-11 0.98
92 1.6e-08 2.7e-03 1.1e-06 1.04e+00 1.664080480e+02 1.664080855e+02 9.6e-12 0.99
93 1.5e-08 2.4e-03 9.6e-07 9.98e-01 1.664080506e+02 1.664080843e+02 8.6e-12 1.00
94 1.3e-08 2.2e-03 8.6e-07 9.64e-01 1.664080528e+02 1.664080833e+02 7.8e-12 1.01
95 1.2e-08 2.0e-03 7.7e-07 9.96e-01 1.664080549e+02 1.664080823e+02 7.0e-12 1.02
96 1.1e-08 1.8e-03 7.0e-07 9.38e-01 1.664080567e+02 1.664080815e+02 6.3e-12 1.03
97 9.6e-09 1.6e-03 6.3e-07 1.04e+00 1.664080587e+02 1.664080805e+02 5.8e-12 1.04
98 8.7e-09 1.4e-03 5.6e-07 9.42e-01 1.664080602e+02 1.664080798e+02 5.2e-12 1.05
99 7.8e-09 1.3e-03 5.1e-07 1.03e+00 1.664080617e+02 1.664080791e+02 4.7e-12 1.07
100 7.0e-09 1.2e-03 4.6e-07 9.75e-01 1.664080628e+02 1.664080785e+02 4.3e-12 1.08
101 6.4e-09 1.0e-03 4.1e-07 8.54e-01 1.664080639e+02 1.664080781e+02 3.8e-12 1.09
102 5.8e-09 9.4e-04 3.7e-07 1.09e+00 1.664080652e+02 1.664080773e+02 3.6e-12 1.10
103 5.2e-09 8.4e-04 3.3e-07 1.05e+00 1.664080662e+02 1.664080769e+02 3.3e-12 1.11
104 4.7e-09 7.6e-04 3.0e-07 1.04e+00 1.664080671e+02 1.664080764e+02 3.1e-12 1.13
105 4.2e-09 6.8e-04 2.7e-07 9.27e-01 1.664080677e+02 1.664080762e+02 2.7e-12 1.14
106 3.9e-09 6.1e-04 2.4e-07 1.32e+00 1.664080683e+02 1.664080758e+02 2.5e-12 1.15
107 3.6e-09 5.5e-04 2.2e-07 9.77e-01 1.664080688e+02 1.664080756e+02 2.2e-12 1.16
108 3.2e-09 5.0e-04 2.0e-07 9.20e-01 1.664080693e+02 1.664080754e+02 2.0e-12 1.17
109 2.8e-09 4.5e-04 1.8e-07 9.71e-01 1.664080697e+02 1.664080752e+02 1.8e-12 1.18
110 2.5e-09 4.0e-04 1.6e-07 1.00e+00 1.664080701e+02 1.664080750e+02 1.6e-12 1.19
111 2.3e-09 3.6e-04 1.4e-07 9.20e-01 1.664080704e+02 1.664080749e+02 1.5e-12 1.20
112 3.6e-09 4.2e-05 1.7e-08 7.92e-01 1.664080732e+02 1.664080738e+02 2.8e-13 1.21
Interior-point optimizer terminated. Time: 1.21.
Optimizer terminated. Time: 1.22
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807322e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6640807379e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.24 seconds.
Solving took 9 GP solves and 42.8 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: 1.4957406989234407e+110 vs 1.49570272431e+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: 3.705366361180998e+72 vs 3.70524565932e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682508]
Total Aircraft Weight Percent Diff: [-21.48056699]
Engine Weight Percent Diff: -56.27824273537784
Fuselage Weight Percent Diff: -0.8697387406098012
Payload Weight Percent Diff: [-0.04003561]
VT Weight Percent Diff: -8.60791494830381
HT Weight Percent Diff: -93.23330135700061
Wing Weight Percent Diff: 8.2674935885937
WING DIFFERENCES
Wing Span Percent Diff: -0.029993067252229347
Wing Area Percent Diff: 32.899863292812235
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.488864840347446
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022350157112879
VT Area Percent Diff: -60.3868442943565
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54722647]
L/D Percent Diff: [24.01022698]
Nacelle Cd Percent Diff: [-94.27641835]
HT Cd Percent Diff: [-80.76940271] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00297564] dimensionless
Wing Cd percent Diff: [-14.22918089]
Induced Drag Cd Percent Diff: [1.21945234]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035947]
FUSELAGE DIFFERENCES
Weight of HB material: -38.36094182023455
Weight of VB material: 87.81702855057674
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.7126052]