![[Jenkins]](/csi/static/2675c506/images/svgs/logo.svg){kind=logo}
Passed
gpkit.tests.from_paths.TestFiles.test_SPaircraft_py_mosek (from gpkit.tests.from_paths.TestFiles-20190827153859)
Standard Output
Mission
=======
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission.Aircraft.Wing.WingBox.N_{lift} = 3
Mission.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:]/dum[:])^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/dum[:])^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission.Aircraft.VerticalTail.WingBox.N_{lift}*Mission.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission.Aircraft.Wing.WingBox.r_{w/c} = Mission.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission.Aircraft.Fuselage.N_{lift} = Mission.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.03
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.18 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.17
Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286549258e+05 2.000000000e+00 1.0e+00 0.21
1 1.1e+03 1.5e+03 6.3e+04 -9.71e-01 -1.266024922e+05 3.598693670e+00 4.9e-01 1.70
2 4.2e+02 5.5e+02 2.4e+04 -9.38e-01 -1.201551142e+05 1.049723412e+01 1.8e-01 3.52
3 2.9e+02 3.7e+02 1.6e+04 -8.36e-01 -1.156934257e+05 6.529361624e+01 1.3e-01 5.62
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.132263681e+05 2.119352011e+03 1.3e-01 7.39
5 8.8e+01 1.2e+02 5.0e+03 -7.53e-01 -8.093604042e+04 8.548147696e+03 3.9e-02 9.49
6 3.7e+01 4.8e+01 2.1e+03 -2.92e-01 -4.777912696e+04 1.028826299e+04 1.6e-02 10.98
7 2.1e+01 2.8e+01 1.2e+03 2.57e-01 -3.169519463e+04 7.234712816e+03 9.5e-03 12.65
8 9.4e+00 1.2e+01 5.3e+02 5.39e-01 -1.514945135e+04 4.205067936e+03 4.2e-03 13.66
9 5.5e+00 7.2e+00 3.1e+02 8.14e-01 -8.814222119e+03 2.847748667e+03 2.5e-03 15.41
10 1.4e+00 1.8e+00 7.8e+01 9.08e-01 -2.053760908e+03 9.408839157e+02 6.1e-04 16.89
11 7.0e-01 9.2e-01 4.0e+01 9.94e-01 -8.378819341e+02 7.264710682e+02 3.2e-04 18.41
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.838983752e+02 5.661965124e+02 2.2e-04 19.93
13 3.6e-01 7.9e-01 2.1e+01 9.79e-01 -3.176267395e+02 4.899351444e+02 1.6e-04 20.60
14 1.7e-01 3.8e-01 9.9e+00 9.96e-01 -1.967388642e+01 3.675580758e+02 7.9e-05 22.40
15 5.5e-02 1.6e-01 3.3e+00 9.95e-01 1.620939163e+02 2.906286565e+02 2.7e-05 22.72
16 3.2e-02 1.4e-01 1.9e+00 1.00e+00 1.996499288e+02 2.749097542e+02 1.6e-05 24.53
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.445324462e+02 2.572720737e+02 2.8e-06 25.00
18 1.5e-03 1.3e-01 9.7e-02 1.00e+00 2.509417918e+02 2.547011544e+02 8.3e-07 26.04
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527811526e+02 2.540259852e+02 2.8e-07 27.23
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532872695e+02 2.538371102e+02 1.2e-07 28.88
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533284787e+02 2.538233497e+02 1.1e-07 29.54
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533644277e+02 2.538097870e+02 1.0e-07 31.52
23 1.5e-04 6.5e-02 1.0e-02 1.00e+00 2.533968242e+02 2.537976313e+02 9.0e-08 33.60
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534259549e+02 2.537866675e+02 8.1e-08 35.61
25 1.2e-04 5.4e-02 8.4e-03 1.00e+00 2.534521541e+02 2.537767839e+02 7.3e-08 36.42
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534757162e+02 2.537678733e+02 6.6e-08 38.06
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534969087e+02 2.537598421e+02 5.9e-08 40.03
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535159710e+02 2.537526045e+02 5.3e-08 41.29
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535331180e+02 2.537460828e+02 4.8e-08 42.57
30 7.4e-05 3.5e-02 4.9e-03 1.00e+00 2.535485429e+02 2.537402069e+02 4.3e-08 44.81
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535624191e+02 2.537349132e+02 3.9e-08 45.90
32 6.0e-05 3.0e-02 4.0e-03 1.00e+00 2.535749025e+02 2.537301444e+02 3.5e-08 47.37
33 5.4e-05 2.7e-02 3.6e-03 1.00e+00 2.535861332e+02 2.537258487e+02 3.1e-08 47.68
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535962370e+02 2.537219792e+02 2.8e-08 49.46
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536053274e+02 2.537184940e+02 2.5e-08 49.93
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536135060e+02 2.537153548e+02 2.3e-08 51.89
37 3.5e-05 2.1e-02 2.4e-03 1.00e+00 2.536208644e+02 2.537125276e+02 2.1e-08 53.81
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536274851e+02 2.537099813e+02 1.9e-08 55.36
39 2.8e-05 1.8e-02 1.9e-03 1.00e+00 2.536334421e+02 2.537076882e+02 1.7e-08 56.68
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536388020e+02 2.537056231e+02 1.5e-08 58.15
41 2.3e-05 1.6e-02 1.6e-03 1.00e+00 2.536436247e+02 2.537037635e+02 1.4e-08 60.06
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536479643e+02 2.537020890e+02 1.2e-08 61.54
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536518690e+02 2.537005811e+02 1.1e-08 63.36
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536553826e+02 2.536992235e+02 9.9e-09 64.31
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536585443e+02 2.536980010e+02 8.9e-09 65.93
46 1.4e-05 1.3e-02 9.2e-04 1.00e+00 2.536613895e+02 2.536969005e+02 8.0e-09 67.49
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536639497e+02 2.536959096e+02 7.2e-09 69.51
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536662536e+02 2.536950175e+02 6.5e-09 71.50
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536683269e+02 2.536942144e+02 5.8e-09 72.57
50 8.9e-06 1.1e-02 6.0e-04 1.00e+00 2.536701927e+02 2.536934915e+02 5.2e-09 75.11
51 8.0e-06 1.0e-02 5.4e-04 1.00e+00 2.536718717e+02 2.536928407e+02 4.7e-09 76.65
52 7.2e-06 1.0e-02 4.9e-04 1.00e+00 2.536733827e+02 2.536922548e+02 4.2e-09 77.12
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536747425e+02 2.536917274e+02 3.8e-09 78.67
54 5.9e-06 9.7e-03 3.9e-04 1.00e+00 2.536759662e+02 2.536912527e+02 3.4e-09 79.32
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536770675e+02 2.536908254e+02 3.1e-09 81.28
56 4.8e-06 9.2e-03 3.2e-04 1.00e+00 2.536780586e+02 2.536904407e+02 2.8e-09 82.80
57 4.3e-06 9.1e-03 2.9e-04 1.00e+00 2.536789505e+02 2.536900944e+02 2.5e-09 83.91
58 3.8e-06 8.9e-03 2.6e-04 1.00e+00 2.536797532e+02 2.536897827e+02 2.3e-09 85.94
59 3.5e-06 8.7e-03 2.3e-04 1.00e+00 2.536804755e+02 2.536895021e+02 2.0e-09 87.83
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811256e+02 2.536892496e+02 1.8e-09 89.79
61 1.2e-06 3.4e-03 8.2e-05 1.00e+00 2.536846947e+02 2.536878616e+02 7.1e-10 91.85
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849233e+02 2.536877735e+02 6.4e-10 93.76
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862379e+02 2.536872619e+02 2.3e-10 95.38
64 3.5e-07 9.8e-04 2.4e-05 1.00e+00 2.536863117e+02 2.536872332e+02 2.1e-10 96.86
65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863780e+02 2.536872074e+02 1.9e-10 97.63
66 2.9e-07 7.9e-04 1.9e-05 1.00e+00 2.536864377e+02 2.536871841e+02 1.7e-10 99.51
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864914e+02 2.536871632e+02 1.5e-10 99.78
68 2.3e-07 6.4e-04 1.6e-05 1.00e+00 2.536865397e+02 2.536871444e+02 1.4e-10 101.84
69 2.1e-07 5.8e-04 1.4e-05 1.00e+00 2.536865832e+02 2.536871274e+02 1.2e-10 103.69
70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866224e+02 2.536871122e+02 1.1e-10 104.35
71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866576e+02 2.536870984e+02 9.9e-11 105.60
72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866893e+02 2.536870860e+02 8.9e-11 107.19
73 1.4e-07 3.8e-04 9.2e-06 1.00e+00 2.536867179e+02 2.536870749e+02 8.0e-11 109.26
74 1.2e-07 3.4e-04 8.3e-06 1.00e+00 2.536867436e+02 2.536870649e+02 7.2e-11 111.08
75 1.1e-07 3.1e-04 7.5e-06 1.00e+00 2.536867667e+02 2.536870559e+02 6.5e-11 112.70
76 1.0e-07 2.8e-04 6.7e-06 1.00e+00 2.536867875e+02 2.536870478e+02 5.9e-11 114.61
77 9.0e-08 2.5e-04 6.0e-06 1.00e+00 2.536868062e+02 2.536870405e+02 5.3e-11 116.56
78 8.1e-08 2.2e-04 5.4e-06 1.00e+00 2.536868231e+02 2.536870339e+02 4.7e-11 118.66
79 7.3e-08 2.0e-04 4.9e-06 1.00e+00 2.536868382e+02 2.536870280e+02 4.3e-11 120.53
80 6.5e-08 1.8e-04 4.4e-06 1.00e+00 2.536868519e+02 2.536870226e+02 3.8e-11 122.56
81 5.9e-08 1.6e-04 4.0e-06 1.00e+00 2.536868641e+02 2.536870178e+02 3.5e-11 124.39
82 5.3e-08 1.5e-04 3.6e-06 1.00e+00 2.536868752e+02 2.536870135e+02 3.1e-11 124.67
83 4.8e-08 1.3e-04 3.2e-06 1.00e+00 2.536868851e+02 2.536870096e+02 2.8e-11 126.44
84 4.3e-08 1.2e-04 2.9e-06 1.00e+00 2.536868941e+02 2.536870061e+02 2.5e-11 127.12
85 3.9e-08 1.1e-04 2.6e-06 1.00e+00 2.536869022e+02 2.536870030e+02 2.3e-11 128.82
86 3.5e-08 9.6e-05 2.3e-06 1.00e+00 2.536869094e+02 2.536870002e+02 2.0e-11 130.48
87 3.1e-08 8.6e-05 2.1e-06 1.00e+00 2.536869159e+02 2.536869976e+02 1.8e-11 132.30
88 2.8e-08 7.8e-05 1.9e-06 1.00e+00 2.536869218e+02 2.536869953e+02 1.7e-11 134.02
89 2.5e-08 7.0e-05 1.7e-06 1.00e+00 2.536869271e+02 2.536869933e+02 1.5e-11 135.60
90 2.3e-08 6.3e-05 1.5e-06 1.00e+00 2.536869318e+02 2.536869914e+02 1.3e-11 137.63
91 2.1e-08 5.7e-05 1.4e-06 1.00e+00 2.536869361e+02 2.536869897e+02 1.2e-11 138.41
92 1.8e-08 5.1e-05 1.2e-06 9.99e-01 2.536869400e+02 2.536869882e+02 1.1e-11 140.53
93 1.7e-08 4.6e-05 1.1e-06 1.00e+00 2.536869434e+02 2.536869869e+02 9.8e-12 142.17
94 1.5e-08 4.1e-05 1.0e-06 9.99e-01 2.536869466e+02 2.536869856e+02 8.8e-12 144.10
95 1.3e-08 3.7e-05 9.1e-07 1.00e+00 2.536869494e+02 2.536869845e+02 7.9e-12 145.94
96 1.2e-08 3.3e-05 8.2e-07 9.99e-01 2.536869519e+02 2.536869835e+02 7.1e-12 147.26
97 1.1e-08 3.0e-05 7.3e-07 1.00e+00 2.536869542e+02 2.536869827e+02 6.4e-12 149.21
98 9.8e-09 2.7e-05 6.6e-07 9.99e-01 2.536869562e+02 2.536869819e+02 5.8e-12 150.64
Interior-point optimizer terminated. Time: 150.65.
Optimizer terminated. Time: 150.66
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695622e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698186e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 151 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3454 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.287360498e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265110231e+05 3.765083271e+00 4.7e-01 1.95
2 4.6e+02 6.0e+02 2.6e+04 -9.35e-01 -1.210809027e+05 9.892075703e+00 2.0e-01 4.04
3 2.9e+02 3.8e+02 1.6e+04 -8.49e-01 -1.159070553e+05 5.291029286e+01 1.3e-01 4.24
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.137407596e+05 1.901983808e+03 1.3e-01 6.28
5 8.2e+01 1.1e+02 4.6e+03 -7.57e-01 -7.821511987e+04 9.193951107e+03 3.6e-02 8.37
6 3.6e+01 4.7e+01 2.0e+03 -2.50e-01 -4.672141040e+04 1.020378755e+04 1.6e-02 10.40
7 1.8e+01 2.4e+01 1.0e+03 2.80e-01 -2.779391366e+04 6.414826594e+03 8.1e-03 12.20
8 9.2e+00 1.2e+01 5.2e+02 6.08e-01 -1.476472235e+04 4.041024116e+03 4.1e-03 13.23
9 5.6e+00 7.3e+00 3.2e+02 8.20e-01 -9.111224305e+03 2.774448732e+03 2.5e-03 14.44
10 2.0e+00 2.6e+00 1.1e+02 9.05e-01 -3.122705146e+03 1.195419962e+03 8.8e-04 16.00
11 1.6e+00 2.1e+00 9.1e+01 9.74e-01 -2.491814037e+03 1.045767851e+03 7.2e-04 17.57
12 9.0e-01 1.3e+00 5.1e+01 9.76e-01 -1.305224196e+03 6.750623048e+02 4.0e-04 19.50
13 4.7e-01 7.3e-01 2.7e+01 9.85e-01 -5.931153574e+02 4.528538064e+02 2.1e-04 21.64
14 2.3e-01 3.6e-01 1.3e+01 9.97e-01 -2.041455851e+02 3.185247233e+02 1.1e-04 22.36
15 1.0e-01 1.7e-01 5.9e+00 1.00e+00 6.363134967e+00 2.384155263e+02 4.8e-05 24.29
16 5.4e-02 1.1e-01 3.1e+00 1.00e+00 8.470040364e+01 2.067535685e+02 2.5e-05 26.15
17 1.1e-02 1.5e-01 7.0e-01 1.00e+00 1.527923569e+02 1.799084459e+02 5.8e-06 27.73
18 6.2e-03 1.0e-01 3.8e-01 1.01e+00 1.616036193e+02 1.764886362e+02 3.2e-06 29.75
19 1.8e-03 1.1e-01 1.2e-01 1.01e+00 1.691302021e+02 1.736215396e+02 9.8e-07 31.18
20 4.9e-04 1.2e-01 3.2e-02 1.01e+00 1.715040314e+02 1.727335439e+02 2.7e-07 33.13
21 1.7e-04 1.0e-01 1.1e-02 1.00e+00 1.720902964e+02 1.725234541e+02 9.7e-08 33.67
22 1.4e-04 8.6e-02 9.1e-03 1.00e+00 1.721496463e+02 1.724997935e+02 7.9e-08 35.62
23 6.4e-05 7.6e-02 4.2e-03 1.00e+00 1.722876612e+02 1.724485688e+02 3.6e-08 35.99
24 5.7e-05 6.9e-02 3.8e-03 1.00e+00 1.723003973e+02 1.724452282e+02 3.3e-08 37.87
25 5.2e-05 6.3e-02 3.4e-03 1.00e+00 1.723108298e+02 1.724411723e+02 2.9e-08 39.77
26 4.6e-05 5.8e-02 3.0e-03 1.00e+00 1.723202759e+02 1.724375804e+02 2.6e-08 41.81
27 4.2e-05 5.3e-02 2.7e-03 1.00e+00 1.723287548e+02 1.724343258e+02 2.4e-08 42.73
28 3.8e-05 4.8e-02 2.5e-03 1.00e+00 1.723363728e+02 1.724313839e+02 2.1e-08 44.42
29 3.4e-05 4.4e-02 2.2e-03 1.00e+00 1.723432186e+02 1.724287263e+02 1.9e-08 45.60
30 3.0e-05 4.1e-02 2.0e-03 1.00e+00 1.723493709e+02 1.724263260e+02 1.7e-08 47.03
31 2.7e-05 3.7e-02 1.8e-03 1.00e+00 1.723549007e+02 1.724241587e+02 1.6e-08 47.30
32 2.5e-05 3.4e-02 1.6e-03 1.00e+00 1.723598716e+02 1.724222025e+02 1.4e-08 49.08
33 2.2e-05 3.2e-02 1.5e-03 1.00e+00 1.723643406e+02 1.724204372e+02 1.3e-08 50.72
34 2.0e-05 2.9e-02 1.3e-03 1.00e+00 1.723683586e+02 1.724188447e+02 1.1e-08 51.68
35 1.8e-05 2.7e-02 1.2e-03 1.00e+00 1.723719716e+02 1.724174084e+02 1.0e-08 53.26
36 1.6e-05 2.5e-02 1.1e-03 1.00e+00 1.723752205e+02 1.724161131e+02 9.2e-09 54.23
37 1.5e-05 2.4e-02 9.6e-04 1.00e+00 1.723781423e+02 1.724149452e+02 8.3e-09 55.71
38 1.3e-05 2.2e-02 8.6e-04 1.00e+00 1.723807701e+02 1.724138923e+02 7.5e-09 56.72
39 1.2e-05 2.1e-02 7.7e-04 1.00e+00 1.723831335e+02 1.724129432e+02 6.7e-09 58.04
40 1.1e-05 1.9e-02 7.0e-04 1.00e+00 1.723852593e+02 1.724120878e+02 6.0e-09 58.76
41 9.6e-06 1.8e-02 6.3e-04 1.00e+00 1.723871714e+02 1.724113168e+02 5.4e-09 60.31
42 8.6e-06 1.7e-02 5.6e-04 1.00e+00 1.723888913e+02 1.724106221e+02 4.9e-09 60.96
43 7.7e-06 1.6e-02 5.1e-04 1.00e+00 1.723904385e+02 1.724099962e+02 4.4e-09 62.56
44 7.0e-06 1.5e-02 4.6e-04 1.00e+00 1.723918304e+02 1.724094322e+02 4.0e-09 64.49
45 6.3e-06 1.5e-02 4.1e-04 1.00e+00 1.723930825e+02 1.724089241e+02 3.6e-09 66.58
46 5.6e-06 1.4e-02 3.7e-04 1.00e+00 1.723942090e+02 1.724084664e+02 3.2e-09 68.31
47 5.1e-06 1.3e-02 3.3e-04 1.00e+00 1.723952225e+02 1.724080541e+02 2.9e-09 70.38
48 4.6e-06 1.3e-02 3.0e-04 1.00e+00 1.723961343e+02 1.724076828e+02 2.6e-09 71.74
49 4.1e-06 1.2e-02 2.7e-04 1.00e+00 1.723969546e+02 1.724073483e+02 2.3e-09 72.37
50 3.7e-06 1.2e-02 2.4e-04 1.00e+00 1.723976927e+02 1.724070470e+02 2.1e-09 74.30
51 3.3e-06 1.1e-02 2.2e-04 1.00e+00 1.723983568e+02 1.724067757e+02 1.9e-09 74.55
52 3.0e-06 1.1e-02 2.0e-04 1.00e+00 1.723989544e+02 1.724065314e+02 1.7e-09 76.43
53 2.7e-06 1.1e-02 1.8e-04 1.00e+00 1.723994921e+02 1.724063113e+02 1.5e-09 78.35
54 2.4e-06 1.0e-02 1.6e-04 1.00e+00 1.723999759e+02 1.724061132e+02 1.4e-09 79.03
55 2.2e-06 1.0e-02 1.4e-04 1.00e+00 1.724004112e+02 1.724059348e+02 1.2e-09 80.12
56 2.0e-06 9.8e-03 1.3e-04 1.00e+00 1.724008029e+02 1.724057742e+02 1.1e-09 82.20
57 1.8e-06 9.6e-03 1.2e-04 1.00e+00 1.724011554e+02 1.724056296e+02 1.0e-09 83.38
58 1.6e-06 9.4e-03 1.0e-04 1.00e+00 1.724014725e+02 1.724054993e+02 9.1e-10 84.08
59 1.4e-06 9.2e-03 9.4e-05 1.00e+00 1.724017579e+02 1.724053821e+02 8.2e-10 85.75
60 1.3e-06 9.0e-03 8.5e-05 1.00e+00 1.724020147e+02 1.724052765e+02 7.3e-10 85.89
61 1.2e-06 8.9e-03 7.6e-05 1.00e+00 1.724022458e+02 1.724051814e+02 6.6e-10 87.51
62 1.0e-06 8.8e-03 6.9e-05 1.00e+00 1.724024538e+02 1.724050958e+02 5.9e-10 88.67
63 9.4e-07 8.6e-03 6.2e-05 1.00e+00 1.724026409e+02 1.724050187e+02 5.4e-10 89.91
64 8.5e-07 8.5e-03 5.6e-05 1.00e+00 1.724028093e+02 1.724049494e+02 4.8e-10 91.48
65 7.6e-07 8.4e-03 5.0e-05 1.00e+00 1.724029609e+02 1.724048869e+02 4.3e-10 92.61
66 6.9e-07 8.3e-03 4.5e-05 1.00e+00 1.724030972e+02 1.724048307e+02 3.9e-10 94.01
67 6.2e-07 8.2e-03 4.1e-05 1.00e+00 1.724032199e+02 1.724047800e+02 3.5e-10 94.96
68 5.6e-07 8.2e-03 3.6e-05 1.00e+00 1.724033304e+02 1.724047344e+02 3.2e-10 96.79
69 5.0e-07 8.1e-03 3.3e-05 1.00e+00 1.724034297e+02 1.724046933e+02 2.8e-10 98.63
70 4.5e-07 8.0e-03 3.0e-05 1.00e+00 1.724035192e+02 1.724046564e+02 2.6e-10 99.40
71 4.1e-07 8.0e-03 2.7e-05 1.00e+00 1.724035996e+02 1.724046231e+02 2.3e-10 101.03
72 3.6e-07 7.9e-03 2.4e-05 1.00e+00 1.724036720e+02 1.724045932e+02 2.1e-10 101.64
73 3.3e-07 7.9e-03 2.2e-05 1.00e+00 1.724037372e+02 1.724045662e+02 1.9e-10 103.84
74 3.0e-07 7.8e-03 1.9e-05 1.00e+00 1.724037958e+02 1.724045419e+02 1.7e-10 105.89
75 2.7e-07 7.8e-03 1.7e-05 1.00e+00 1.724038486e+02 1.724045201e+02 1.5e-10 107.69
76 2.4e-07 7.7e-03 1.6e-05 1.00e+00 1.724038961e+02 1.724045004e+02 1.4e-10 110.02
77 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.724039388e+02 1.724044827e+02 1.2e-10 110.74
78 1.9e-07 7.7e-03 1.3e-05 1.00e+00 1.724039773e+02 1.724044667e+02 1.1e-10 112.42
79 1.7e-07 7.6e-03 1.1e-05 1.00e+00 1.724040119e+02 1.724044524e+02 9.9e-11 114.29
80 1.6e-07 7.6e-03 1.0e-05 9.98e-01 1.724040430e+02 1.724044395e+02 8.9e-11 115.82
81 1.4e-07 7.6e-03 9.3e-06 9.99e-01 1.724040710e+02 1.724044279e+02 8.0e-11 117.76
82 1.3e-07 7.5e-03 8.3e-06 1.00e+00 1.724040962e+02 1.724044174e+02 7.2e-11 119.61
83 1.1e-07 7.5e-03 7.5e-06 1.00e+00 1.724041189e+02 1.724044080e+02 6.5e-11 121.21
84 1.0e-07 7.5e-03 6.8e-06 9.99e-01 1.724041393e+02 1.724043995e+02 5.9e-11 123.21
85 9.3e-08 7.5e-03 6.1e-06 9.96e-01 1.724041577e+02 1.724043919e+02 5.3e-11 124.41
86 8.3e-08 7.4e-03 5.5e-06 1.00e+00 1.724041742e+02 1.724043850e+02 4.7e-11 126.24
87 7.5e-08 7.4e-03 4.9e-06 1.00e+00 1.724041892e+02 1.724043788e+02 4.3e-11 128.07
88 6.8e-08 7.4e-03 4.4e-06 9.99e-01 1.724042026e+02 1.724043732e+02 3.8e-11 129.93
89 6.1e-08 7.4e-03 4.0e-06 9.98e-01 1.724042146e+02 1.724043682e+02 3.5e-11 130.97
90 5.5e-08 7.4e-03 3.6e-06 1.00e+00 1.724042255e+02 1.724043637e+02 3.1e-11 132.22
91 4.9e-08 7.4e-03 3.2e-06 1.00e+00 1.724042352e+02 1.724043596e+02 2.8e-11 133.46
92 4.4e-08 6.6e-03 2.9e-06 1.01e+00 1.724042443e+02 1.724043558e+02 2.5e-11 135.46
93 4.0e-08 6.0e-03 2.6e-06 1.00e+00 1.724042522e+02 1.724043525e+02 2.3e-11 135.78
94 3.6e-08 5.4e-03 2.4e-06 9.99e-01 1.724042593e+02 1.724043495e+02 2.1e-11 135.92
95 3.2e-08 4.8e-03 2.1e-06 1.01e+00 1.724042658e+02 1.724043468e+02 1.9e-11 137.67
96 2.9e-08 4.4e-03 1.9e-06 9.96e-01 1.724042715e+02 1.724043445e+02 1.7e-11 139.71
97 2.6e-08 3.9e-03 1.7e-06 1.00e+00 1.724042766e+02 1.724043423e+02 1.5e-11 140.27
98 2.4e-08 3.5e-03 1.5e-06 1.01e+00 1.724042813e+02 1.724043403e+02 1.4e-11 140.32
99 2.1e-08 3.2e-03 1.4e-06 1.00e+00 1.724042855e+02 1.724043386e+02 1.2e-11 141.99
100 5.5e-09 8.0e-04 3.5e-07 1.01e+00 1.724043134e+02 1.724043268e+02 3.1e-12 144.06
101 4.9e-09 7.2e-04 3.2e-07 9.46e-01 1.724043144e+02 1.724043264e+02 2.8e-12 144.81
102 1.1e-09 8.4e-05 3.7e-08 9.37e-01 1.724043221e+02 1.724043235e+02 3.9e-13 146.65
Interior-point optimizer terminated. Time: 146.65.
Optimizer terminated. Time: 146.66
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432207e+02 Viol. con: 3e-08 var: 0e+00
Dual. obj: 1.7240432352e+02 Viol. con: 0e+00 var: 6e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 147 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3454 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 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 : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.289933606e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.2e+04 -9.71e-01 -1.268320467e+05 3.623041131e+00 4.8e-01 1.88
2 4.4e+02 5.7e+02 2.4e+04 -9.36e-01 -1.208314550e+05 1.006709460e+01 1.9e-01 4.14
3 2.9e+02 3.8e+02 1.6e+04 -8.42e-01 -1.161088703e+05 6.041765646e+01 1.3e-01 5.81
4 2.9e+02 3.8e+02 1.6e+04 -7.62e-01 -1.136047846e+05 2.178771931e+03 1.3e-01 7.64
5 8.0e+01 1.0e+02 4.5e+03 -7.55e-01 -7.726434142e+04 9.484464807e+03 3.5e-02 9.63
6 4.0e+01 5.2e+01 2.2e+03 -2.31e-01 -5.058299829e+04 1.013810703e+04 1.8e-02 11.49
7 3.0e+01 3.9e+01 1.7e+03 2.22e-01 -4.153553427e+04 8.375057812e+03 1.3e-02 13.17
8 1.8e+01 2.4e+01 1.0e+03 3.84e-01 -2.815875181e+04 5.382454304e+03 8.0e-03 14.71
9 7.8e+00 1.0e+01 4.4e+02 6.11e-01 -1.288940711e+04 3.138029639e+03 3.4e-03 15.94
10 4.0e+00 5.2e+00 2.2e+02 8.50e-01 -6.391131988e+03 2.123846752e+03 1.8e-03 17.92
11 2.3e+00 2.9e+00 1.3e+02 9.42e-01 -3.532012538e+03 1.326730000e+03 1.0e-03 19.44
12 9.5e-01 1.2e+00 5.3e+01 9.75e-01 -1.390763806e+03 6.696281243e+02 4.2e-04 21.13
13 8.0e-01 1.1e+00 4.5e+01 9.74e-01 -1.179918399e+03 5.959705840e+02 3.6e-04 21.29
14 7.0e-01 9.2e-01 4.0e+01 9.78e-01 -9.979208764e+02 5.542405464e+02 3.1e-04 23.42
15 2.2e-01 3.1e-01 1.3e+01 9.82e-01 -2.191239215e+02 2.844868532e+02 1.0e-04 25.28
16 1.4e-01 1.9e-01 7.8e+00 1.01e+00 -7.255386054e+01 2.329749078e+02 6.2e-05 27.09
17 8.0e-02 1.2e-01 4.6e+00 1.01e+00 2.160164619e+01 2.014352054e+02 3.7e-05 28.14
18 7.9e-02 1.2e-01 4.6e+00 1.02e+00 2.346499569e+01 2.015325125e+02 3.7e-05 29.84
19 6.4e-02 1.1e-01 3.7e+00 1.02e+00 5.594518509e+01 2.013769964e+02 3.0e-05 30.45
20 1.9e-02 9.8e-02 1.1e+00 1.01e+00 1.337494336e+02 1.766930255e+02 8.9e-06 32.27
21 5.6e-03 2.1e-01 3.4e-01 1.02e+00 1.576847315e+02 1.706502007e+02 2.7e-06 32.60
22 5.1e-03 2.1e-01 3.1e-01 9.94e-01 1.583923627e+02 1.701922212e+02 2.5e-06 34.58
23 3.4e-03 1.4e-01 2.0e-01 9.75e-01 1.613229032e+02 1.691451499e+02 1.6e-06 34.88
24 1.6e-03 8.5e-02 9.5e-02 9.88e-01 1.644148356e+02 1.680741884e+02 7.6e-07 36.49
25 9.0e-04 6.5e-02 5.5e-02 1.01e+00 1.655674422e+02 1.676861773e+02 4.4e-07 38.20
26 3.7e-04 7.8e-02 2.3e-02 1.01e+00 1.664714605e+02 1.673529880e+02 1.9e-07 40.27
27 1.7e-04 7.6e-02 1.1e-02 1.01e+00 1.668053613e+02 1.672191587e+02 8.8e-08 41.81
28 1.6e-04 7.0e-02 9.8e-03 1.01e+00 1.668392356e+02 1.672117426e+02 8.0e-08 43.44
29 1.4e-04 6.4e-02 8.8e-03 1.01e+00 1.668650882e+02 1.672002041e+02 7.2e-08 43.91
30 1.3e-04 5.8e-02 7.9e-03 1.01e+00 1.668888002e+02 1.671903265e+02 6.5e-08 46.16
31 1.1e-04 5.3e-02 7.1e-03 1.01e+00 1.669099640e+02 1.671812694e+02 5.8e-08 46.21
32 1.0e-04 4.9e-02 6.4e-03 1.01e+00 1.669289533e+02 1.671730712e+02 5.2e-08 46.28
33 9.2e-05 4.5e-02 5.8e-03 1.01e+00 1.669459810e+02 1.671656396e+02 4.7e-08 47.46
34 8.3e-05 4.1e-02 5.2e-03 1.01e+00 1.669612557e+02 1.671589089e+02 4.2e-08 48.44
35 7.5e-05 3.8e-02 4.7e-03 1.01e+00 1.669749599e+02 1.671528153e+02 3.8e-08 48.48
36 6.7e-05 3.5e-02 4.2e-03 1.01e+00 1.669872574e+02 1.671473005e+02 3.4e-08 50.28
37 6.0e-05 3.2e-02 3.8e-03 1.00e+00 1.669982943e+02 1.671423111e+02 3.1e-08 50.78
38 5.4e-05 3.0e-02 3.4e-03 1.00e+00 1.670082013e+02 1.671377985e+02 2.8e-08 52.69
39 4.9e-05 2.7e-02 3.1e-03 1.00e+00 1.670170953e+02 1.671337180e+02 2.5e-08 54.40
40 4.4e-05 2.5e-02 2.8e-03 1.00e+00 1.670250809e+02 1.671300293e+02 2.3e-08 56.71
41 4.0e-05 2.4e-02 2.5e-03 1.00e+00 1.670322517e+02 1.671266956e+02 2.0e-08 57.66
42 3.6e-05 2.2e-02 2.2e-03 1.00e+00 1.670386918e+02 1.671236833e+02 1.8e-08 59.52
43 3.2e-05 2.1e-02 2.0e-03 1.00e+00 1.670444761e+02 1.671209621e+02 1.6e-08 61.16
44 2.9e-05 1.9e-02 1.8e-03 1.00e+00 1.670496720e+02 1.671185042e+02 1.5e-08 63.45
45 2.6e-05 1.8e-02 1.6e-03 1.00e+00 1.670543400e+02 1.671162848e+02 1.3e-08 65.55
46 2.3e-05 1.7e-02 1.5e-03 1.00e+00 1.670585340e+02 1.671142808e+02 1.2e-08 66.59
47 2.1e-05 1.6e-02 1.3e-03 1.00e+00 1.670623025e+02 1.671124720e+02 1.1e-08 68.32
48 1.9e-05 1.6e-02 1.2e-03 1.00e+00 1.670656889e+02 1.671108393e+02 9.7e-09 70.43
49 1.7e-05 1.5e-02 1.1e-03 1.00e+00 1.670687324e+02 1.671093659e+02 8.7e-09 71.11
50 1.5e-05 1.4e-02 9.6e-04 1.00e+00 1.670714679e+02 1.671080366e+02 7.9e-09 72.77
51 1.4e-05 1.3e-02 8.7e-04 1.00e+00 1.670739267e+02 1.671068373e+02 7.1e-09 74.55
52 1.2e-05 1.3e-02 7.8e-04 1.00e+00 1.670761369e+02 1.671057556e+02 6.4e-09 75.67
53 1.1e-05 1.2e-02 7.0e-04 1.00e+00 1.670781239e+02 1.671047801e+02 5.7e-09 77.05
54 1.0e-05 1.2e-02 6.3e-04 1.00e+00 1.670799104e+02 1.671039004e+02 5.2e-09 78.68
55 9.1e-06 1.2e-02 5.7e-04 1.00e+00 1.670815167e+02 1.671031071e+02 4.6e-09 79.95
56 8.2e-06 1.1e-02 5.1e-04 1.00e+00 1.670829611e+02 1.671023921e+02 4.2e-09 81.38
57 7.4e-06 1.1e-02 4.6e-04 1.00e+00 1.670842600e+02 1.671017476e+02 3.8e-09 82.35
58 6.6e-06 1.1e-02 4.2e-04 1.00e+00 1.670854281e+02 1.671011667e+02 3.4e-09 83.66
59 6.0e-06 1.0e-02 3.7e-04 1.00e+00 1.670864786e+02 1.671006432e+02 3.0e-09 85.46
60 5.4e-06 1.0e-02 3.4e-04 1.00e+00 1.670874235e+02 1.671001715e+02 2.7e-09 86.86
61 2.0e-06 3.9e-03 1.3e-04 1.00e+00 1.670926496e+02 1.670975335e+02 1.1e-09 88.20
62 8.3e-07 1.6e-03 5.2e-05 1.00e+00 1.670945839e+02 1.670965549e+02 4.2e-10 89.27
63 7.4e-07 1.4e-03 4.7e-05 1.00e+00 1.670947185e+02 1.670964923e+02 3.8e-10 90.85
64 4.5e-07 8.4e-04 2.8e-05 1.00e+00 1.670951843e+02 1.670962520e+02 2.3e-10 91.72
65 4.0e-07 7.6e-04 2.5e-05 1.00e+00 1.670952558e+02 1.670962167e+02 2.1e-10 93.35
66 3.6e-07 6.8e-04 2.3e-05 1.00e+00 1.670953193e+02 1.670961841e+02 1.9e-10 94.88
67 3.3e-07 6.1e-04 2.1e-05 1.00e+00 1.670953763e+02 1.670961546e+02 1.7e-10 95.96
68 2.9e-07 5.5e-04 1.9e-05 1.00e+00 1.670954277e+02 1.670961281e+02 1.5e-10 96.17
69 2.6e-07 5.0e-04 1.7e-05 9.98e-01 1.670954738e+02 1.670961043e+02 1.4e-10 97.57
70 2.4e-07 4.5e-04 1.5e-05 9.99e-01 1.670955154e+02 1.670960829e+02 1.2e-10 98.41
71 2.1e-07 4.0e-04 1.3e-05 9.99e-01 1.670955528e+02 1.670960635e+02 1.1e-10 99.88
72 1.9e-07 3.6e-04 1.2e-05 1.00e+00 1.670955864e+02 1.670960461e+02 9.9e-11 100.69
73 1.7e-07 3.3e-04 1.1e-05 1.00e+00 1.670956167e+02 1.670960304e+02 8.9e-11 102.30
74 1.6e-07 2.9e-04 9.8e-06 9.98e-01 1.670956439e+02 1.670960163e+02 8.0e-11 103.82
75 1.4e-07 2.6e-04 8.9e-06 9.98e-01 1.670956684e+02 1.670960035e+02 7.2e-11 104.77
76 1.3e-07 2.4e-04 8.0e-06 1.00e+00 1.670956905e+02 1.670959921e+02 6.5e-11 105.90
77 1.1e-07 2.1e-04 7.2e-06 1.00e+00 1.670957103e+02 1.670959818e+02 5.8e-11 106.81
78 1.0e-07 1.9e-04 6.5e-06 9.95e-01 1.670957282e+02 1.670959725e+02 5.3e-11 108.53
79 9.2e-08 1.7e-04 5.8e-06 9.99e-01 1.670957442e+02 1.670959642e+02 4.7e-11 110.13
80 8.3e-08 1.6e-04 5.2e-06 9.95e-01 1.670957587e+02 1.670959567e+02 4.3e-11 111.45
81 7.5e-08 1.4e-04 4.7e-06 1.00e+00 1.670957718e+02 1.670959498e+02 3.8e-11 112.15
82 6.7e-08 1.3e-04 4.2e-06 1.01e+00 1.670957838e+02 1.670959436e+02 3.5e-11 113.54
83 6.0e-08 1.1e-04 3.8e-06 1.01e+00 1.670957949e+02 1.670959378e+02 3.1e-11 114.23
84 5.4e-08 1.0e-04 3.4e-06 1.01e+00 1.670958046e+02 1.670959327e+02 2.8e-11 115.79
85 4.9e-08 9.2e-05 3.1e-06 1.00e+00 1.670958131e+02 1.670959282e+02 2.5e-11 117.17
86 4.4e-08 8.3e-05 2.8e-06 1.00e+00 1.670958207e+02 1.670959243e+02 2.3e-11 118.25
87 4.0e-08 7.5e-05 2.5e-06 1.01e+00 1.670958279e+02 1.670959205e+02 2.1e-11 118.83
88 3.6e-08 6.7e-05 2.2e-06 9.95e-01 1.670958340e+02 1.670959174e+02 1.9e-11 120.24
89 3.2e-08 6.1e-05 2.0e-06 9.92e-01 1.670958395e+02 1.670959145e+02 1.7e-11 121.89
90 2.9e-08 5.5e-05 1.8e-06 1.01e+00 1.670958445e+02 1.670959119e+02 1.5e-11 123.28
91 2.6e-08 4.9e-05 1.6e-06 1.00e+00 1.670958490e+02 1.670959096e+02 1.4e-11 124.84
92 2.3e-08 4.4e-05 1.5e-06 1.00e+00 1.670958530e+02 1.670959075e+02 1.2e-11 125.55
93 2.1e-08 4.0e-05 1.3e-06 1.00e+00 1.670958566e+02 1.670959056e+02 1.1e-11 125.62
94 1.9e-08 3.6e-05 1.2e-06 1.00e+00 1.670958599e+02 1.670959040e+02 1.0e-11 125.97
95 1.7e-08 3.2e-05 1.1e-06 9.56e-01 1.670958627e+02 1.670959025e+02 9.0e-12 126.37
96 1.5e-08 2.9e-05 9.7e-07 9.96e-01 1.670958654e+02 1.670959012e+02 8.1e-12 126.98
Interior-point optimizer terminated. Time: 126.98.
Optimizer terminated. Time: 127.00
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709586536e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709590116e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 127 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3454 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 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 : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.287223705e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.2e+04 -9.71e-01 -1.265745929e+05 3.573317454e+00 4.8e-01 0.93
2 4.3e+02 5.6e+02 2.4e+04 -9.37e-01 -1.205266018e+05 1.002388290e+01 1.9e-01 2.32
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.157999164e+05 6.118615241e+01 1.3e-01 3.59
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.131568685e+05 2.298842638e+03 1.3e-01 4.70
5 7.4e+01 9.6e+01 4.1e+03 -7.54e-01 -7.427119335e+04 1.000770251e+04 3.3e-02 5.64
6 3.6e+01 4.7e+01 2.0e+03 -1.87e-01 -4.714062450e+04 1.036919371e+04 1.6e-02 7.00
7 2.2e+01 2.9e+01 1.2e+03 2.79e-01 -3.264250338e+04 7.165529608e+03 9.8e-03 7.79
8 1.3e+01 1.7e+01 7.5e+02 5.38e-01 -2.123253853e+04 4.817407718e+03 5.9e-03 9.06
9 5.2e+00 6.8e+00 2.9e+02 7.25e-01 -8.608897074e+03 2.403436650e+03 2.3e-03 9.80
10 2.4e+00 3.1e+00 1.3e+02 9.15e-01 -3.702531265e+03 1.407876280e+03 1.1e-03 11.05
11 1.7e+00 2.2e+00 9.6e+01 9.76e-01 -2.640529607e+03 1.068041828e+03 7.7e-04 12.29
12 8.3e-01 1.1e+00 4.7e+01 9.83e-01 -1.192522981e+03 6.082810923e+02 3.7e-04 13.45
13 7.5e-01 1.1e+00 4.2e+01 9.49e-01 -1.099905998e+03 5.664569484e+02 3.4e-04 14.19
14 6.1e-01 9.0e-01 3.4e+01 9.87e-01 -8.367768686e+02 5.022533715e+02 2.7e-04 14.62
15 1.8e-01 2.9e-01 1.0e+01 9.89e-01 -1.546875594e+02 2.532175653e+02 8.3e-05 15.67
16 1.0e-01 1.9e-01 6.0e+00 1.01e+00 -2.103454967e+01 2.119245810e+02 4.8e-05 16.53
17 1.0e-01 1.8e-01 5.9e+00 1.02e+00 -1.941548782e+01 2.121451940e+02 4.8e-05 17.49
18 8.8e-02 1.6e-01 5.1e+00 1.02e+00 1.322101787e+01 2.124336094e+02 4.1e-05 18.92
19 3.5e-02 9.9e-02 2.0e+00 1.01e+00 1.052518755e+02 1.836765012e+02 1.6e-05 20.56
20 1.0e-02 1.8e-01 6.0e-01 1.01e+00 1.495204312e+02 1.727015205e+02 4.9e-06 21.53
21 3.2e-03 1.8e-01 1.9e-01 1.01e+00 1.611601146e+02 1.684674262e+02 1.5e-06 22.88
22 1.2e-03 1.2e-01 7.6e-02 1.01e+00 1.645374376e+02 1.674168162e+02 6.2e-07 23.77
23 6.1e-04 8.4e-02 3.8e-02 1.00e+00 1.655940429e+02 1.670420234e+02 3.1e-07 25.33
24 2.4e-04 8.6e-02 1.5e-02 1.01e+00 1.662269494e+02 1.668061745e+02 1.3e-07 26.04
25 2.2e-04 7.9e-02 1.4e-02 1.01e+00 1.662726823e+02 1.667938398e+02 1.1e-07 26.98
26 2.0e-04 7.2e-02 1.2e-02 1.01e+00 1.663097021e+02 1.667786074e+02 1.0e-07 27.89
27 1.8e-04 6.6e-02 1.1e-02 1.01e+00 1.663431683e+02 1.667650708e+02 9.2e-08 28.42
28 1.6e-04 6.0e-02 1.0e-02 1.01e+00 1.663731629e+02 1.667527841e+02 8.3e-08 29.66
29 1.4e-04 5.5e-02 9.0e-03 1.01e+00 1.664000969e+02 1.667416819e+02 7.5e-08 30.52
30 1.3e-04 5.0e-02 8.1e-03 1.01e+00 1.664242768e+02 1.667316433e+02 6.7e-08 31.75
31 1.2e-04 4.6e-02 7.3e-03 1.01e+00 1.664459870e+02 1.667225684e+02 6.1e-08 33.29
32 1.0e-04 4.2e-02 6.6e-03 1.00e+00 1.664654808e+02 1.667143650e+02 5.4e-08 34.39
33 9.4e-05 3.9e-02 5.9e-03 1.00e+00 1.664829853e+02 1.667069499e+02 4.9e-08 35.71
34 8.4e-05 3.6e-02 5.3e-03 1.00e+00 1.664987045e+02 1.667002476e+02 4.4e-08 36.62
35 7.6e-05 3.3e-02 4.8e-03 1.00e+00 1.665128210e+02 1.666941899e+02 4.0e-08 37.10
36 6.8e-05 3.0e-02 4.3e-03 1.00e+00 1.665254988e+02 1.666887149e+02 3.6e-08 38.02
37 6.1e-05 2.8e-02 3.9e-03 1.00e+00 1.665368850e+02 1.666837669e+02 3.2e-08 38.97
38 5.5e-05 2.6e-02 3.5e-03 1.00e+00 1.665471117e+02 1.666792954e+02 2.9e-08 39.94
39 5.0e-05 2.4e-02 3.2e-03 1.00e+00 1.665562973e+02 1.666752548e+02 2.6e-08 41.31
40 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.665645482e+02 1.666716038e+02 2.3e-08 41.85
41 4.0e-05 2.1e-02 2.6e-03 1.00e+00 1.665719600e+02 1.666683052e+02 2.1e-08 41.90
42 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.665786183e+02 1.666653253e+02 1.9e-08 42.77
43 3.3e-05 1.9e-02 2.1e-03 1.00e+00 1.665846000e+02 1.666626334e+02 1.7e-08 43.69
44 2.9e-05 1.8e-02 1.9e-03 1.00e+00 1.665899743e+02 1.666602021e+02 1.5e-08 44.16
45 2.6e-05 1.7e-02 1.7e-03 1.00e+00 1.665948030e+02 1.666580064e+02 1.4e-08 45.35
46 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.665991419e+02 1.666560237e+02 1.2e-08 46.20
47 2.1e-05 1.5e-02 1.4e-03 1.00e+00 1.666030408e+02 1.666542334e+02 1.1e-08 47.11
48 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.666065445e+02 1.666526172e+02 1.0e-08 48.14
49 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.666096934e+02 1.666511583e+02 9.1e-09 49.70
50 1.6e-05 1.3e-02 9.9e-04 1.00e+00 1.666125235e+02 1.666498416e+02 8.2e-09 50.60
51 1.4e-05 1.3e-02 8.9e-04 1.00e+00 1.666150673e+02 1.666486533e+02 7.4e-09 52.03
52 1.3e-05 1.2e-02 8.0e-04 1.00e+00 1.666173539e+02 1.666475812e+02 6.6e-09 52.74
53 1.1e-05 1.2e-02 7.2e-04 1.00e+00 1.666194093e+02 1.666466138e+02 6.0e-09 54.39
54 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.666212571e+02 1.666457412e+02 5.4e-09 55.32
55 9.2e-06 1.1e-02 5.8e-04 1.00e+00 1.666229184e+02 1.666449540e+02 4.8e-09 56.87
56 8.3e-06 1.1e-02 5.3e-04 1.00e+00 1.666244120e+02 1.666442440e+02 4.4e-09 57.79
57 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.666257548e+02 1.666436038e+02 3.9e-09 58.93
58 6.7e-06 1.0e-02 4.3e-04 1.00e+00 1.666269623e+02 1.666430264e+02 3.5e-09 59.47
59 6.1e-06 1.0e-02 3.8e-04 1.00e+00 1.666280481e+02 1.666425058e+02 3.2e-09 60.96
60 5.5e-06 9.9e-03 3.5e-04 1.00e+00 1.666290244e+02 1.666420364e+02 2.9e-09 61.69
61 4.9e-06 9.7e-03 3.1e-04 1.00e+00 1.666299023e+02 1.666416132e+02 2.6e-09 62.10
62 4.4e-06 9.5e-03 2.8e-04 1.00e+00 1.666306917e+02 1.666412316e+02 2.3e-09 63.35
63 4.0e-06 9.4e-03 2.5e-04 1.00e+00 1.666314016e+02 1.666408876e+02 2.1e-09 63.92
64 3.6e-06 9.3e-03 2.3e-04 1.00e+00 1.666320399e+02 1.666405774e+02 1.9e-09 64.54
65 3.2e-06 9.2e-03 2.0e-04 1.00e+00 1.666326139e+02 1.666402977e+02 1.7e-09 66.16
66 2.9e-06 9.1e-03 1.8e-04 1.00e+00 1.666331301e+02 1.666400455e+02 1.5e-09 67.29
67 2.6e-06 9.0e-03 1.7e-04 1.00e+00 1.666335942e+02 1.666398182e+02 1.4e-09 67.98
68 2.3e-06 8.9e-03 1.5e-04 1.00e+00 1.666340117e+02 1.666396132e+02 1.2e-09 69.03
69 2.1e-06 8.8e-03 1.3e-04 1.00e+00 1.666343872e+02 1.666394286e+02 1.1e-09 69.10
70 1.9e-06 8.7e-03 1.2e-04 1.00e+00 1.666347248e+02 1.666392622e+02 1.0e-09 69.92
71 1.7e-06 8.6e-03 1.1e-04 1.00e+00 1.666350286e+02 1.666391123e+02 9.0e-10 70.43
72 1.5e-06 8.6e-03 9.8e-05 1.00e+00 1.666353018e+02 1.666389771e+02 8.1e-10 71.33
73 1.4e-06 8.5e-03 8.8e-05 1.00e+00 1.666355476e+02 1.666388554e+02 7.3e-10 71.86
74 1.2e-06 8.5e-03 7.9e-05 1.00e+00 1.666357686e+02 1.666387457e+02 6.5e-10 73.49
75 1.1e-06 8.4e-03 7.1e-05 1.00e+00 1.666359674e+02 1.666386468e+02 5.9e-10 75.07
76 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.666361462e+02 1.666385576e+02 5.3e-10 76.87
77 9.1e-07 8.3e-03 5.8e-05 1.00e+00 1.666363071e+02 1.666384773e+02 4.8e-10 78.95
78 8.2e-07 8.3e-03 5.2e-05 9.99e-01 1.666364517e+02 1.666384050e+02 4.3e-10 80.15
79 7.4e-07 8.3e-03 4.7e-05 1.00e+00 1.666365818e+02 1.666383397e+02 3.9e-10 81.34
80 6.6e-07 8.2e-03 4.2e-05 9.99e-01 1.666366987e+02 1.666382810e+02 3.5e-10 81.83
81 6.0e-07 8.2e-03 3.8e-05 9.99e-01 1.666368039e+02 1.666382280e+02 3.1e-10 82.46
82 5.4e-07 8.2e-03 3.4e-05 9.99e-01 1.666368985e+02 1.666381803e+02 2.8e-10 82.74
83 4.8e-07 8.1e-03 3.1e-05 1.00e+00 1.666369836e+02 1.666381371e+02 2.5e-10 83.49
84 4.3e-07 8.1e-03 2.8e-05 1.00e+00 1.666370601e+02 1.666380982e+02 2.3e-10 84.55
85 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.666371288e+02 1.666380632e+02 2.1e-10 85.72
86 3.5e-07 8.1e-03 2.2e-05 1.00e+00 1.666371907e+02 1.666380316e+02 1.8e-10 86.66
87 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.666372463e+02 1.666380031e+02 1.7e-10 88.41
88 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.666372964e+02 1.666379774e+02 1.5e-10 89.39
89 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.666373414e+02 1.666379543e+02 1.3e-10 90.92
90 2.3e-07 8.0e-03 1.5e-05 9.98e-01 1.666373819e+02 1.666379335e+02 1.2e-10 92.67
91 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.666374183e+02 1.666379148e+02 1.1e-10 94.75
92 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.666374510e+02 1.666378979e+02 9.8e-11 96.13
93 1.7e-07 7.9e-03 1.1e-05 1.00e+00 1.666374805e+02 1.666378827e+02 8.8e-11 97.92
94 1.5e-07 7.9e-03 9.6e-06 9.99e-01 1.666375070e+02 1.666378690e+02 8.0e-11 99.92
95 1.4e-07 7.9e-03 8.6e-06 9.97e-01 1.666375309e+02 1.666378567e+02 7.2e-11 100.84
96 1.2e-07 7.8e-03 7.8e-06 1.00e+00 1.666375524e+02 1.666378456e+02 6.5e-11 102.50
97 1.1e-07 7.8e-03 7.0e-06 9.99e-01 1.666375717e+02 1.666378356e+02 5.8e-11 103.08
98 9.9e-08 7.8e-03 6.3e-06 9.98e-01 1.666375891e+02 1.666378266e+02 5.2e-11 104.25
99 9.0e-08 7.8e-03 5.7e-06 9.97e-01 1.666376047e+02 1.666378186e+02 4.7e-11 105.36
100 8.1e-08 7.8e-03 5.1e-06 1.00e+00 1.666376188e+02 1.666378113e+02 4.2e-11 107.85
101 7.3e-08 7.7e-03 4.6e-06 9.92e-01 1.666376315e+02 1.666378047e+02 3.8e-11 108.98
102 6.5e-08 6.9e-03 4.1e-06 1.00e+00 1.666376429e+02 1.666377988e+02 3.4e-11 110.02
103 5.9e-08 6.3e-03 3.7e-06 1.01e+00 1.666376535e+02 1.666377933e+02 3.1e-11 111.87
104 5.3e-08 5.6e-03 3.4e-06 9.92e-01 1.666376627e+02 1.666377885e+02 2.8e-11 113.46
105 4.8e-08 5.1e-03 3.0e-06 1.00e+00 1.666376710e+02 1.666377842e+02 2.5e-11 114.42
106 4.3e-08 4.6e-03 2.7e-06 1.00e+00 1.666376785e+02 1.666377803e+02 2.3e-11 116.41
107 3.9e-08 4.1e-03 2.4e-06 9.93e-01 1.666376852e+02 1.666377769e+02 2.0e-11 117.63
108 3.5e-08 3.7e-03 2.2e-06 9.89e-01 1.666376912e+02 1.666377738e+02 1.8e-11 118.78
109 3.1e-08 3.3e-03 2.0e-06 1.03e+00 1.666376972e+02 1.666377706e+02 1.7e-11 120.47
110 2.8e-08 3.0e-03 1.8e-06 9.99e-01 1.666377021e+02 1.666377681e+02 1.5e-11 121.22
111 2.5e-08 2.7e-03 1.6e-06 9.84e-01 1.666377064e+02 1.666377659e+02 1.3e-11 122.93
112 2.3e-08 2.4e-03 1.4e-06 1.01e+00 1.666377104e+02 1.666377637e+02 1.2e-11 123.52
113 2.0e-08 2.2e-03 1.3e-06 1.00e+00 1.666377139e+02 1.666377619e+02 1.1e-11 125.14
114 1.8e-08 2.0e-03 1.2e-06 9.93e-01 1.666377171e+02 1.666377603e+02 9.9e-12 126.71
115 1.7e-08 1.8e-03 1.1e-06 1.01e+00 1.666377200e+02 1.666377588e+02 8.9e-12 127.64
116 1.5e-08 1.6e-03 9.5e-07 1.04e+00 1.666377231e+02 1.666377571e+02 8.2e-12 128.03
117 1.3e-08 1.4e-03 8.5e-07 1.05e+00 1.666377259e+02 1.666377556e+02 7.6e-12 129.89
118 1.2e-08 1.3e-03 7.7e-07 1.03e+00 1.666377281e+02 1.666377544e+02 6.9e-12 131.92
119 1.1e-08 1.2e-03 6.9e-07 9.31e-01 1.666377299e+02 1.666377536e+02 6.2e-12 132.59
120 9.8e-09 1.0e-03 6.2e-07 9.50e-01 1.666377314e+02 1.666377528e+02 5.6e-12 134.48
121 8.8e-09 9.4e-04 5.6e-07 1.01e+00 1.666377329e+02 1.666377520e+02 5.1e-12 135.85
122 8.0e-09 8.4e-04 5.0e-07 9.84e-01 1.666377341e+02 1.666377514e+02 4.6e-12 137.14
123 7.2e-09 7.6e-04 4.5e-07 9.92e-01 1.666377353e+02 1.666377508e+02 4.1e-12 138.95
124 6.5e-09 6.8e-04 4.1e-07 9.77e-01 1.666377363e+02 1.666377503e+02 3.7e-12 139.30
125 5.8e-09 6.2e-04 3.7e-07 9.27e-01 1.666377372e+02 1.666377499e+02 3.3e-12 141.15
126 5.2e-09 5.5e-04 3.3e-07 1.04e+00 1.666377382e+02 1.666377493e+02 3.1e-12 142.72
127 4.7e-09 5.0e-04 3.0e-07 9.91e-01 1.666377389e+02 1.666377490e+02 2.8e-12 144.59
128 2.2e-09 2.8e-05 1.7e-08 9.20e-01 1.666377453e+02 1.666377459e+02 2.5e-13 146.04
Interior-point optimizer terminated. Time: 146.05.
Optimizer terminated. Time: 146.06
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774527e+02 Viol. con: 5e-08 var: 0e+00
Dual. obj: 1.6663774587e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 146 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3454 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286831196e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265334260e+05 3.567088613e+00 4.8e-01 1.83
2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.203833946e+05 1.011405076e+01 1.9e-01 3.48
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.157187274e+05 6.273739739e+01 1.3e-01 5.12
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.130228179e+05 2.338221055e+03 1.3e-01 7.10
5 7.3e+01 9.4e+01 4.1e+03 -7.53e-01 -7.357938725e+04 1.002317546e+04 3.2e-02 7.72
6 3.6e+01 4.6e+01 2.0e+03 -1.77e-01 -4.627009180e+04 1.019622046e+04 1.6e-02 9.08
7 2.1e+01 2.7e+01 1.2e+03 2.94e-01 -3.070495064e+04 6.914883300e+03 9.1e-03 10.90
8 1.2e+01 1.6e+01 6.7e+02 5.70e-01 -1.915340950e+04 4.482150092e+03 5.3e-03 12.18
9 4.6e+00 6.0e+00 2.6e+02 7.58e-01 -7.553473332e+03 2.153730008e+03 2.0e-03 14.25
10 2.2e+00 2.9e+00 1.2e+02 9.29e-01 -3.373467723e+03 1.376803551e+03 9.8e-04 15.79
11 1.5e+00 1.9e+00 8.3e+01 9.78e-01 -2.235740514e+03 9.646770282e+02 6.6e-04 16.75
12 8.6e-01 1.1e+00 4.8e+01 9.85e-01 -1.232394448e+03 6.312351977e+02 3.8e-04 18.55
13 7.4e-01 1.0e+00 4.2e+01 9.55e-01 -1.072948723e+03 5.641437947e+02 3.3e-04 20.00
14 5.4e-01 7.4e-01 3.1e+01 9.87e-01 -7.296367634e+02 4.692330332e+02 2.4e-04 21.26
15 1.7e-01 2.5e-01 9.5e+00 9.92e-01 -1.273612145e+02 2.445747298e+02 7.6e-05 22.98
16 9.5e-02 1.6e-01 5.5e+00 1.01e+00 -7.083289213e+00 2.069367783e+02 4.4e-05 23.53
17 9.5e-02 1.5e-01 5.4e+00 1.02e+00 -5.471019625e+00 2.070291171e+02 4.4e-05 23.62
18 8.5e-02 1.4e-01 4.9e+00 1.02e+00 1.652814639e+01 2.075259985e+02 4.0e-05 25.22
19 4.8e-02 8.5e-02 2.8e+00 1.02e+00 8.250600777e+01 1.894233385e+02 2.2e-05 26.84
20 1.7e-02 8.5e-02 9.7e-01 1.02e+00 1.380122112e+02 1.751271588e+02 7.8e-06 28.02
21 4.4e-03 2.2e-01 2.6e-01 1.01e+00 1.592043729e+02 1.692781059e+02 2.1e-06 29.68
22 3.1e-03 2.4e-01 1.9e-01 1.00e+00 1.612881848e+02 1.684035292e+02 1.5e-06 30.33
23 1.1e-03 1.4e-01 7.0e-02 1.00e+00 1.646186804e+02 1.672796688e+02 5.6e-07 32.05
24 8.8e-04 1.1e-01 5.3e-02 9.94e-01 1.650702647e+02 1.671014642e+02 4.3e-07 32.77
25 3.7e-04 8.4e-02 2.3e-02 9.84e-01 1.659153384e+02 1.667827902e+02 1.9e-07 34.17
26 2.0e-04 6.9e-02 1.3e-02 1.01e+00 1.661933283e+02 1.666719228e+02 1.0e-07 34.89
27 1.5e-04 6.4e-02 9.6e-03 1.01e+00 1.662781577e+02 1.666422094e+02 7.9e-08 36.56
28 1.4e-04 5.8e-02 8.6e-03 1.01e+00 1.663050767e+02 1.666325455e+02 7.1e-08 38.31
29 1.2e-04 5.3e-02 7.8e-03 1.01e+00 1.663278684e+02 1.666225223e+02 6.4e-08 40.32
30 1.1e-04 4.8e-02 7.0e-03 1.01e+00 1.663485675e+02 1.666137065e+02 5.7e-08 41.86
31 1.0e-04 4.4e-02 6.3e-03 1.01e+00 1.663671041e+02 1.666056889e+02 5.2e-08 43.73
32 9.1e-05 4.1e-02 5.7e-03 1.01e+00 1.663837454e+02 1.665984390e+02 4.6e-08 45.50
33 8.2e-05 3.7e-02 5.1e-03 1.00e+00 1.663986786e+02 1.665918767e+02 4.2e-08 47.35
34 7.4e-05 3.4e-02 4.6e-03 1.00e+00 1.664120818e+02 1.665859391e+02 3.8e-08 48.66
35 6.6e-05 3.1e-02 4.1e-03 1.00e+00 1.664241128e+02 1.665805677e+02 3.4e-08 50.28
36 6.0e-05 2.9e-02 3.7e-03 1.00e+00 1.664349134e+02 1.665757096e+02 3.1e-08 52.24
37 5.4e-05 2.7e-02 3.3e-03 1.00e+00 1.664446104e+02 1.665713166e+02 2.7e-08 54.06
38 4.8e-05 2.5e-02 3.0e-03 1.00e+00 1.664533177e+02 1.665673451e+02 2.5e-08 55.35
39 4.3e-05 2.3e-02 2.7e-03 1.00e+00 1.664611369e+02 1.665637553e+02 2.2e-08 56.21
40 3.9e-05 2.2e-02 2.4e-03 1.00e+00 1.664681594e+02 1.665605112e+02 2.0e-08 57.39
41 3.5e-05 2.0e-02 2.2e-03 1.00e+00 1.664744671e+02 1.665575799e+02 1.8e-08 57.67
42 3.2e-05 1.9e-02 2.0e-03 1.00e+00 1.664801331e+02 1.665549318e+02 1.6e-08 59.31
43 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.664852233e+02 1.665525400e+02 1.5e-08 60.99
44 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.664897966e+02 1.665503801e+02 1.3e-08 62.70
45 2.3e-05 1.6e-02 1.4e-03 1.00e+00 1.664939058e+02 1.665484299e+02 1.2e-08 63.73
46 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664975986e+02 1.665466694e+02 1.1e-08 65.50
47 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.665009173e+02 1.665450805e+02 9.6e-09 66.64
48 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.665039001e+02 1.665436467e+02 8.6e-09 68.23
49 1.5e-05 1.3e-02 9.5e-04 1.00e+00 1.665065814e+02 1.665423532e+02 7.8e-09 70.09
50 1.4e-05 1.3e-02 8.5e-04 1.00e+00 1.665089920e+02 1.665411864e+02 7.0e-09 71.22
51 1.2e-05 1.2e-02 7.7e-04 1.00e+00 1.665111592e+02 1.665401342e+02 6.3e-09 71.31
52 1.1e-05 1.2e-02 6.9e-04 1.00e+00 1.665131080e+02 1.665391856e+02 5.7e-09 73.19
53 9.9e-06 1.1e-02 6.2e-04 1.00e+00 1.665148605e+02 1.665383304e+02 5.1e-09 74.73
54 8.9e-06 1.1e-02 5.6e-04 1.00e+00 1.665164366e+02 1.665375596e+02 4.6e-09 75.70
55 8.1e-06 1.1e-02 5.0e-04 1.00e+00 1.665178541e+02 1.665368649e+02 4.1e-09 77.32
56 7.2e-06 1.0e-02 4.5e-04 1.00e+00 1.665191291e+02 1.665362390e+02 3.7e-09 78.92
57 6.5e-06 1.0e-02 4.1e-04 1.00e+00 1.665202760e+02 1.665356750e+02 3.3e-09 79.94
58 5.9e-06 1.0e-02 3.7e-04 1.00e+00 1.665213076e+02 1.665351669e+02 3.0e-09 81.88
59 5.3e-06 9.8e-03 3.3e-04 1.00e+00 1.665222356e+02 1.665347091e+02 2.7e-09 82.47
60 4.8e-06 9.6e-03 3.0e-04 1.00e+00 1.665230704e+02 1.665342966e+02 2.4e-09 84.39
61 4.3e-06 9.5e-03 2.7e-04 1.00e+00 1.665238213e+02 1.665339251e+02 2.2e-09 86.08
62 3.9e-06 9.3e-03 2.4e-04 1.00e+00 1.665244968e+02 1.665335902e+02 2.0e-09 87.00
63 3.5e-06 9.2e-03 2.2e-04 1.00e+00 1.665251043e+02 1.665332885e+02 1.8e-09 88.82
64 3.1e-06 9.1e-03 1.9e-04 1.00e+00 1.665256507e+02 1.665330166e+02 1.6e-09 90.67
65 2.8e-06 9.0e-03 1.8e-04 1.00e+00 1.665261422e+02 1.665327716e+02 1.4e-09 91.56
66 2.5e-06 8.9e-03 1.6e-04 1.00e+00 1.665265843e+02 1.665325508e+02 1.3e-09 93.53
67 2.3e-06 8.8e-03 1.4e-04 1.00e+00 1.665269820e+02 1.665323519e+02 1.2e-09 95.04
68 2.0e-06 8.7e-03 1.3e-04 1.00e+00 1.665273398e+02 1.665321728e+02 1.1e-09 96.80
69 1.8e-06 8.6e-03 1.2e-04 1.00e+00 1.665276617e+02 1.665320114e+02 9.5e-10 98.50
70 1.7e-06 8.6e-03 1.0e-04 1.00e+00 1.665279512e+02 1.665318660e+02 8.5e-10 99.84
71 1.5e-06 8.5e-03 9.3e-05 1.00e+00 1.665282117e+02 1.665317351e+02 7.7e-10 100.59
72 1.3e-06 8.5e-03 8.4e-05 1.00e+00 1.665284461e+02 1.665316171e+02 6.9e-10 102.05
73 1.2e-06 8.4e-03 7.5e-05 1.00e+00 1.665286569e+02 1.665315109e+02 6.2e-10 103.23
74 1.1e-06 8.4e-03 6.8e-05 1.00e+00 1.665288465e+02 1.665314151e+02 5.6e-10 104.50
75 9.8e-07 8.3e-03 6.1e-05 1.00e+00 1.665290171e+02 1.665313289e+02 5.0e-10 106.08
76 8.8e-07 8.3e-03 5.5e-05 1.00e+00 1.665291706e+02 1.665312512e+02 4.5e-10 107.31
77 7.9e-07 8.2e-03 5.0e-05 9.99e-01 1.665293086e+02 1.665311812e+02 4.1e-10 108.94
78 7.1e-07 8.2e-03 4.5e-05 1.00e+00 1.665294327e+02 1.665311181e+02 3.7e-10 109.63
79 6.4e-07 8.2e-03 4.0e-05 9.99e-01 1.665295443e+02 1.665310613e+02 3.3e-10 111.13
80 5.8e-07 8.2e-03 3.6e-05 1.00e+00 1.665296447e+02 1.665310100e+02 3.0e-10 111.94
81 5.2e-07 8.1e-03 3.2e-05 9.99e-01 1.665297350e+02 1.665309639e+02 2.7e-10 113.15
82 4.7e-07 8.1e-03 2.9e-05 9.99e-01 1.665298162e+02 1.665309222e+02 2.4e-10 114.58
83 4.2e-07 8.1e-03 2.6e-05 1.00e+00 1.665298892e+02 1.665308846e+02 2.2e-10 115.82
84 3.8e-07 8.0e-03 2.4e-05 9.98e-01 1.665299549e+02 1.665308508e+02 1.9e-10 116.60
85 3.4e-07 8.0e-03 2.1e-05 1.00e+00 1.665300140e+02 1.665308203e+02 1.8e-10 117.97
86 3.1e-07 8.0e-03 1.9e-05 1.00e+00 1.665300671e+02 1.665307928e+02 1.6e-10 118.75
87 2.8e-07 8.0e-03 1.7e-05 1.00e+00 1.665301149e+02 1.665307680e+02 1.4e-10 119.90
88 2.5e-07 8.0e-03 1.6e-05 1.00e+00 1.665301578e+02 1.665307456e+02 1.3e-10 121.48
89 2.2e-07 7.9e-03 1.4e-05 1.00e+00 1.665301965e+02 1.665307255e+02 1.2e-10 122.96
90 2.0e-07 7.9e-03 1.3e-05 1.00e+00 1.665302313e+02 1.665307073e+02 1.0e-10 123.23
91 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.665302626e+02 1.665306910e+02 9.3e-11 124.34
92 1.6e-07 7.9e-03 1.0e-05 1.00e+00 1.665302907e+02 1.665306763e+02 8.4e-11 124.92
93 1.5e-07 7.9e-03 9.2e-06 9.95e-01 1.665303160e+02 1.665306631e+02 7.5e-11 125.50
94 1.3e-07 7.9e-03 8.3e-06 1.00e+00 1.665303388e+02 1.665306511e+02 6.8e-11 127.11
95 1.2e-07 7.8e-03 7.4e-06 1.00e+00 1.665303594e+02 1.665306403e+02 6.1e-11 128.47
96 1.1e-07 7.8e-03 6.7e-06 9.99e-01 1.665303778e+02 1.665306307e+02 5.5e-11 129.77
97 9.6e-08 7.0e-03 6.0e-06 1.01e+00 1.665303946e+02 1.665306219e+02 5.0e-11 131.39
98 8.7e-08 6.3e-03 5.4e-06 9.97e-01 1.665304095e+02 1.665306141e+02 4.5e-11 132.52
99 7.8e-08 5.7e-03 4.9e-06 1.01e+00 1.665304235e+02 1.665306066e+02 4.0e-11 134.03
100 7.0e-08 5.1e-03 4.4e-06 1.00e+00 1.665304355e+02 1.665306004e+02 3.6e-11 134.58
101 6.3e-08 4.6e-03 4.0e-06 9.96e-01 1.665304463e+02 1.665305947e+02 3.3e-11 136.43
102 5.7e-08 4.2e-03 3.6e-06 1.02e+00 1.665304568e+02 1.665305891e+02 3.0e-11 137.69
103 5.1e-08 3.7e-03 3.2e-06 1.01e+00 1.665304659e+02 1.665305843e+02 2.7e-11 139.12
104 4.6e-08 3.4e-03 2.9e-06 9.84e-01 1.665304737e+02 1.665305803e+02 2.4e-11 139.78
105 4.2e-08 3.0e-03 2.6e-06 9.89e-01 1.665304806e+02 1.665305767e+02 2.2e-11 140.73
106 3.7e-08 2.7e-03 2.3e-06 1.05e+00 1.665304883e+02 1.665305725e+02 2.0e-11 142.29
107 3.4e-08 2.5e-03 2.1e-06 9.95e-01 1.665304939e+02 1.665305696e+02 1.8e-11 143.94
108 3.0e-08 2.2e-03 1.9e-06 1.01e+00 1.665304990e+02 1.665305669e+02 1.6e-11 145.68
109 2.7e-08 2.0e-03 1.7e-06 1.00e+00 1.665305035e+02 1.665305646e+02 1.5e-11 147.13
110 2.5e-08 1.8e-03 1.5e-06 9.86e-01 1.665305075e+02 1.665305625e+02 1.3e-11 148.96
111 2.2e-08 1.6e-03 1.4e-06 1.02e+00 1.665305115e+02 1.665305604e+02 1.2e-11 150.60
112 2.0e-08 1.4e-03 1.2e-06 1.06e+00 1.665305156e+02 1.665305581e+02 1.1e-11 151.86
113 1.8e-08 1.3e-03 1.1e-06 1.03e+00 1.665305188e+02 1.665305564e+02 1.0e-11 153.51
114 1.6e-08 1.2e-03 1.0e-06 1.05e+00 1.665305218e+02 1.665305548e+02 9.4e-12 154.60
115 1.5e-08 1.1e-03 9.0e-07 1.05e+00 1.665305245e+02 1.665305534e+02 8.6e-12 154.93
116 1.3e-08 9.5e-04 8.1e-07 1.03e+00 1.665305266e+02 1.665305523e+02 7.9e-12 156.51
117 1.2e-08 8.6e-04 7.3e-07 9.32e-01 1.665305283e+02 1.665305515e+02 7.1e-12 157.94
118 1.1e-08 7.7e-04 6.6e-07 9.48e-01 1.665305298e+02 1.665305507e+02 6.4e-12 159.13
119 9.6e-09 6.9e-04 5.9e-07 9.63e-01 1.665305312e+02 1.665305501e+02 5.7e-12 160.46
120 8.6e-09 6.2e-04 5.3e-07 1.09e+00 1.665305330e+02 1.665305491e+02 5.4e-12 161.90
121 7.9e-09 5.6e-04 4.8e-07 9.35e-01 1.665305340e+02 1.665305486e+02 4.9e-12 163.18
122 7.1e-09 5.1e-04 4.3e-07 9.78e-01 1.665305350e+02 1.665305481e+02 4.4e-12 164.02
123 6.4e-09 4.6e-04 3.9e-07 9.94e-01 1.665305359e+02 1.665305477e+02 3.9e-12 165.36
124 5.9e-09 4.1e-04 3.5e-07 1.10e+00 1.665305370e+02 1.665305470e+02 3.7e-12 166.29
125 5.4e-09 3.7e-04 3.2e-07 1.31e+00 1.665305377e+02 1.665305466e+02 3.3e-12 166.33
126 5.0e-09 3.3e-04 2.8e-07 1.05e+00 1.665305384e+02 1.665305462e+02 3.1e-12 168.12
127 4.5e-09 3.0e-04 2.6e-07 9.38e-01 1.665305389e+02 1.665305460e+02 2.8e-12 169.60
128 5.7e-09 3.3e-05 2.8e-08 8.39e-01 1.665305433e+02 1.665305441e+02 4.7e-13 170.97
Interior-point optimizer terminated. Time: 170.98.
Optimizer terminated. Time: 170.99
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054329e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6653054412e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 171 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3454 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.04 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.03
Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286794248e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.265193149e+05 3.562468550e+00 4.8e-01 0.29
2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.203206540e+05 1.018342361e+01 1.9e-01 1.73
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.156409026e+05 6.364072673e+01 1.2e-01 2.75
4 2.8e+02 3.7e+02 1.6e+04 -7.60e-01 -1.129715074e+05 2.317182997e+03 1.2e-01 3.97
5 7.5e+01 9.6e+01 4.1e+03 -7.52e-01 -7.449856374e+04 9.815537545e+03 3.3e-02 5.74
6 3.3e+01 4.2e+01 1.8e+03 -1.91e-01 -4.334740987e+04 1.041511817e+04 1.4e-02 6.98
7 1.9e+01 2.5e+01 1.1e+03 3.44e-01 -2.849532532e+04 6.964167102e+03 8.4e-03 8.50
8 1.1e+01 1.5e+01 6.3e+02 6.08e-01 -1.796446223e+04 4.391097069e+03 5.0e-03 10.41
9 4.5e+00 5.8e+00 2.5e+02 7.77e-01 -7.324427819e+03 2.111342906e+03 2.0e-03 11.87
10 2.1e+00 2.6e+00 1.1e+02 9.31e-01 -3.116028109e+03 1.308109091e+03 9.1e-04 13.25
11 1.3e+00 1.6e+00 7.2e+01 9.82e-01 -1.904933781e+03 8.676114277e+02 5.7e-04 15.24
12 8.0e-01 1.0e+00 4.5e+01 9.84e-01 -1.145114399e+03 6.061133398e+02 3.6e-04 16.87
13 5.8e-01 7.8e-01 3.3e+01 9.59e-01 -8.108494370e+02 4.776002806e+02 2.6e-04 18.50
14 4.0e-01 5.4e-01 2.2e+01 9.99e-01 -4.813728622e+02 3.973575761e+02 1.8e-04 20.11
15 1.7e-01 2.4e-01 9.8e+00 9.93e-01 -1.314067968e+02 2.544914513e+02 7.9e-05 20.62
16 8.7e-02 1.4e-01 5.0e+00 1.01e+00 1.014710459e+01 2.046682205e+02 4.0e-05 22.30
17 7.7e-02 1.2e-01 4.4e+00 1.02e+00 3.170084188e+01 2.038221579e+02 3.6e-05 22.88
18 3.2e-02 7.2e-02 1.9e+00 1.02e+00 1.106137638e+02 1.821201836e+02 1.5e-05 24.01
19 9.1e-03 1.4e-01 5.3e-01 1.02e+00 1.512914559e+02 1.716165423e+02 4.2e-06 25.41
20 3.0e-03 1.1e-01 1.8e-01 1.01e+00 1.615015166e+02 1.682158316e+02 1.4e-06 26.81
21 1.9e-03 8.3e-02 1.1e-01 1.01e+00 1.633655822e+02 1.676010550e+02 8.9e-07 28.11
22 5.4e-04 1.3e-01 3.4e-02 1.01e+00 1.655623317e+02 1.668426363e+02 2.7e-07 29.55
23 3.8e-04 1.1e-01 2.4e-02 9.97e-01 1.658394353e+02 1.667324409e+02 1.9e-07 31.17
24 2.2e-04 7.7e-02 1.4e-02 9.83e-01 1.661128183e+02 1.666263504e+02 1.1e-07 32.69
25 1.7e-04 6.2e-02 1.1e-02 1.00e+00 1.661870209e+02 1.666019864e+02 9.0e-08 34.48
26 1.6e-04 5.7e-02 9.8e-03 1.01e+00 1.662170356e+02 1.665903152e+02 8.1e-08 35.53
27 1.4e-04 5.2e-02 8.8e-03 1.01e+00 1.662433210e+02 1.665791613e+02 7.3e-08 36.80
28 1.3e-04 4.8e-02 8.0e-03 1.01e+00 1.662670822e+02 1.665692705e+02 6.6e-08 38.00
29 1.1e-04 4.4e-02 7.2e-03 1.01e+00 1.662883758e+02 1.665602895e+02 5.9e-08 38.69
30 1.0e-04 4.0e-02 6.4e-03 1.01e+00 1.663074871e+02 1.665521643e+02 5.3e-08 39.11
31 9.3e-05 3.7e-02 5.8e-03 1.01e+00 1.663246357e+02 1.665448085e+02 4.8e-08 40.77
32 8.3e-05 3.4e-02 5.2e-03 1.01e+00 1.663400246e+02 1.665381506e+02 4.3e-08 42.16
33 7.5e-05 3.1e-02 4.7e-03 1.00e+00 1.663538347e+02 1.665321243e+02 3.9e-08 43.24
34 6.8e-05 2.9e-02 4.2e-03 1.00e+00 1.663662288e+02 1.665266703e+02 3.5e-08 43.26
35 6.1e-05 2.7e-02 3.8e-03 1.00e+00 1.663773530e+02 1.665217350e+02 3.1e-08 44.76
36 5.5e-05 2.5e-02 3.4e-03 1.00e+00 1.663873383e+02 1.665172700e+02 2.8e-08 46.34
37 4.9e-05 2.3e-02 3.1e-03 1.00e+00 1.663963024e+02 1.665132312e+02 2.5e-08 47.94
38 4.4e-05 2.2e-02 2.8e-03 1.00e+00 1.664043505e+02 1.665095788e+02 2.3e-08 49.31
39 4.0e-05 2.0e-02 2.5e-03 1.00e+00 1.664115771e+02 1.665062765e+02 2.1e-08 50.77
40 3.6e-05 1.9e-02 2.3e-03 1.00e+00 1.664180667e+02 1.665032915e+02 1.9e-08 52.24
41 3.2e-05 1.8e-02 2.0e-03 1.00e+00 1.664238952e+02 1.665005939e+02 1.7e-08 52.30
42 2.9e-05 1.7e-02 1.8e-03 1.00e+00 1.664291305e+02 1.664981565e+02 1.5e-08 52.47
43 2.6e-05 1.6e-02 1.6e-03 1.00e+00 1.664338334e+02 1.664959547e+02 1.4e-08 53.54
44 2.4e-05 1.5e-02 1.5e-03 1.00e+00 1.664380585e+02 1.664939661e+02 1.2e-08 55.03
45 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664418547e+02 1.664921703e+02 1.1e-08 56.55
46 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.664452659e+02 1.664905491e+02 9.9e-09 57.88
47 1.7e-05 1.3e-02 1.1e-03 1.00e+00 1.664483315e+02 1.664890857e+02 8.9e-09 58.98
48 1.5e-05 1.3e-02 9.7e-04 1.00e+00 1.664510866e+02 1.664877650e+02 8.0e-09 60.50
49 1.4e-05 1.2e-02 8.7e-04 1.00e+00 1.664535631e+02 1.664865734e+02 7.2e-09 61.76
50 1.3e-05 1.2e-02 7.9e-04 1.00e+00 1.664557892e+02 1.664854983e+02 6.5e-09 63.10
51 1.1e-05 1.1e-02 7.1e-04 1.00e+00 1.664577905e+02 1.664845286e+02 5.8e-09 63.69
52 1.0e-05 1.1e-02 6.4e-04 1.00e+00 1.664595898e+02 1.664836541e+02 5.3e-09 65.21
53 9.1e-06 1.1e-02 5.7e-04 1.00e+00 1.664612077e+02 1.664828656e+02 4.7e-09 66.31
54 8.2e-06 1.1e-02 5.2e-04 1.00e+00 1.664626626e+02 1.664821547e+02 4.3e-09 67.60
55 7.4e-06 1.0e-02 4.6e-04 1.00e+00 1.664639709e+02 1.664815140e+02 3.8e-09 69.23
56 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.664651476e+02 1.664809365e+02 3.4e-09 70.43
57 6.0e-06 9.8e-03 3.8e-04 1.00e+00 1.664662060e+02 1.664804160e+02 3.1e-09 71.87
58 5.4e-06 9.6e-03 3.4e-04 1.00e+00 1.664671580e+02 1.664799471e+02 2.8e-09 72.73
59 4.9e-06 9.4e-03 3.0e-04 1.00e+00 1.664680144e+02 1.664795246e+02 2.5e-09 74.15
60 4.4e-06 9.3e-03 2.7e-04 1.00e+00 1.664687847e+02 1.664791440e+02 2.3e-09 74.99
61 3.9e-06 9.1e-03 2.5e-04 1.00e+00 1.664694777e+02 1.664788012e+02 2.0e-09 76.65
62 3.5e-06 9.0e-03 2.2e-04 1.00e+00 1.664701010e+02 1.664784923e+02 1.8e-09 77.30
63 3.2e-06 8.9e-03 2.0e-04 1.00e+00 1.664706618e+02 1.664782140e+02 1.6e-09 78.80
64 2.9e-06 8.8e-03 1.8e-04 1.00e+00 1.664711662e+02 1.664779633e+02 1.5e-09 80.49
65 2.6e-06 8.7e-03 1.6e-04 1.00e+00 1.664716201e+02 1.664777375e+02 1.3e-09 82.04
66 2.3e-06 8.6e-03 1.5e-04 1.00e+00 1.664720285e+02 1.664775342e+02 1.2e-09 83.42
67 2.1e-06 8.5e-03 1.3e-04 1.00e+00 1.664723960e+02 1.664773512e+02 1.1e-09 85.07
68 1.9e-06 8.4e-03 1.2e-04 1.00e+00 1.664727267e+02 1.664771864e+02 9.7e-10 86.67
69 1.7e-06 8.4e-03 1.1e-04 1.00e+00 1.664730242e+02 1.664770381e+02 8.8e-10 88.35
70 1.5e-06 8.3e-03 9.6e-05 1.00e+00 1.664732920e+02 1.664769045e+02 7.9e-10 89.86
71 1.4e-06 8.2e-03 8.6e-05 1.00e+00 1.664735331e+02 1.664767843e+02 7.1e-10 91.70
72 1.2e-06 8.2e-03 7.7e-05 1.00e+00 1.664737499e+02 1.664766761e+02 6.4e-10 93.36
73 1.1e-06 8.1e-03 7.0e-05 1.00e+00 1.664739451e+02 1.664765786e+02 5.8e-10 94.78
74 1.0e-06 8.1e-03 6.3e-05 1.00e+00 1.664741208e+02 1.664764909e+02 5.2e-10 96.45
75 9.0e-07 8.0e-03 5.6e-05 1.00e+00 1.664742788e+02 1.664764120e+02 4.7e-10 97.53
76 8.1e-07 8.0e-03 5.1e-05 1.00e+00 1.664744210e+02 1.664763409e+02 4.2e-10 99.21
77 7.3e-07 8.0e-03 4.6e-05 1.00e+00 1.664745490e+02 1.664762769e+02 3.8e-10 100.38
78 6.6e-07 7.9e-03 4.1e-05 1.00e+00 1.664746641e+02 1.664762192e+02 3.4e-10 101.68
79 5.9e-07 7.9e-03 3.7e-05 1.00e+00 1.664747677e+02 1.664761673e+02 3.1e-10 103.30
80 5.3e-07 7.9e-03 3.3e-05 1.00e+00 1.664748609e+02 1.664761205e+02 2.8e-10 104.49
81 4.8e-07 7.8e-03 3.0e-05 1.00e+00 1.664749447e+02 1.664760783e+02 2.5e-10 106.10
82 4.3e-07 7.8e-03 2.7e-05 1.00e+00 1.664750201e+02 1.664760404e+02 2.2e-10 107.73
83 3.9e-07 7.8e-03 2.4e-05 1.00e+00 1.664750879e+02 1.664760062e+02 2.0e-10 108.88
84 3.5e-07 7.8e-03 2.2e-05 1.00e+00 1.664751489e+02 1.664759753e+02 1.8e-10 110.70
85 3.1e-07 7.8e-03 2.0e-05 1.00e+00 1.664752038e+02 1.664759476e+02 1.6e-10 111.35
86 2.8e-07 7.7e-03 1.8e-05 1.00e+00 1.664752532e+02 1.664759226e+02 1.5e-10 113.14
87 2.5e-07 7.7e-03 1.6e-05 1.00e+00 1.664752976e+02 1.664759000e+02 1.3e-10 113.72
88 2.3e-07 7.7e-03 1.4e-05 1.00e+00 1.664753376e+02 1.664758798e+02 1.2e-10 115.44
89 2.1e-07 7.7e-03 1.3e-05 1.00e+00 1.664753736e+02 1.664758615e+02 1.1e-10 117.08
90 1.9e-07 7.7e-03 1.2e-05 1.00e+00 1.664754059e+02 1.664758450e+02 9.6e-11 118.62
91 1.7e-07 7.7e-03 1.0e-05 1.00e+00 1.664754351e+02 1.664758302e+02 8.6e-11 120.10
92 1.5e-07 7.6e-03 9.4e-06 1.00e+00 1.664754613e+02 1.664758169e+02 7.8e-11 121.54
93 1.4e-07 7.6e-03 8.5e-06 1.00e+00 1.664754848e+02 1.664758049e+02 7.0e-11 122.32
94 1.2e-07 7.6e-03 7.6e-06 1.00e+00 1.664755060e+02 1.664757941e+02 6.3e-11 124.03
95 1.1e-07 7.6e-03 6.9e-06 1.00e+00 1.664755251e+02 1.664757843e+02 5.7e-11 125.00
96 9.8e-08 7.6e-03 6.2e-06 1.00e+00 1.664755423e+02 1.664757756e+02 5.1e-11 126.23
97 8.9e-08 7.6e-03 5.6e-06 9.92e-01 1.664755578e+02 1.664757678e+02 4.6e-11 127.10
98 8.0e-08 7.6e-03 5.0e-06 1.00e+00 1.664755717e+02 1.664757607e+02 4.1e-11 128.48
99 7.2e-08 7.5e-03 4.5e-06 1.00e+00 1.664755842e+02 1.664757543e+02 3.7e-11 129.66
100 6.5e-08 7.5e-03 4.1e-06 1.00e+00 1.664755955e+02 1.664757485e+02 3.3e-11 131.18
101 5.8e-08 7.5e-03 3.6e-06 9.97e-01 1.664756056e+02 1.664757434e+02 3.0e-11 132.05
102 5.2e-08 7.5e-03 3.3e-06 9.95e-01 1.664756147e+02 1.664757387e+02 2.7e-11 133.28
103 4.7e-08 7.5e-03 3.0e-06 9.99e-01 1.664756229e+02 1.664757346e+02 2.4e-11 135.04
104 4.2e-08 7.4e-03 2.7e-06 9.85e-01 1.664756303e+02 1.664757308e+02 2.2e-11 136.55
105 3.8e-08 7.4e-03 2.4e-06 9.95e-01 1.664756370e+02 1.664757275e+02 2.0e-11 137.27
106 3.4e-08 7.4e-03 2.2e-06 9.97e-01 1.664756429e+02 1.664757244e+02 1.8e-11 138.98
107 3.1e-08 7.4e-03 1.9e-06 9.92e-01 1.664756483e+02 1.664757217e+02 1.6e-11 140.73
108 2.8e-08 7.4e-03 1.7e-06 9.92e-01 1.664756532e+02 1.664757192e+02 1.4e-11 142.51
109 2.5e-08 7.4e-03 1.6e-06 9.97e-01 1.664756575e+02 1.664757170e+02 1.3e-11 143.83
110 2.3e-08 6.7e-03 1.4e-06 1.00e+00 1.664756615e+02 1.664757150e+02 1.2e-11 145.51
111 2.0e-08 6.0e-03 1.3e-06 9.87e-01 1.664756650e+02 1.664757132e+02 1.1e-11 146.41
112 1.8e-08 5.4e-03 1.1e-06 1.01e+00 1.664756684e+02 1.664757114e+02 9.5e-12 147.79
113 1.6e-08 4.8e-03 1.0e-06 1.01e+00 1.664756714e+02 1.664757099e+02 8.6e-12 149.14
114 1.5e-08 4.4e-03 9.3e-07 1.01e+00 1.664756740e+02 1.664757085e+02 7.8e-12 149.93
115 1.3e-08 3.9e-03 8.3e-07 1.03e+00 1.664756766e+02 1.664757072e+02 7.1e-12 151.05
116 1.2e-08 3.5e-03 7.5e-07 1.03e+00 1.664756789e+02 1.664757060e+02 6.5e-12 153.09
117 1.1e-08 3.2e-03 6.8e-07 1.02e+00 1.664756808e+02 1.664757050e+02 5.9e-12 154.68
118 9.7e-09 2.9e-03 6.1e-07 9.68e-01 1.664756824e+02 1.664757042e+02 5.3e-12 156.61
119 2.3e-09 3.2e-04 6.9e-08 1.02e+00 1.664756951e+02 1.664756976e+02 5.5e-13 156.85
Interior-point optimizer terminated. Time: 156.85.
Optimizer terminated. Time: 156.86
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: 1.6647569756e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 157 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3453 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 : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286082582e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264455445e+05 3.561147612e+00 4.8e-01 1.87
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.202189364e+05 1.021577381e+01 1.8e-01 3.63
3 2.9e+02 3.7e+02 1.6e+04 -8.39e-01 -1.155276031e+05 6.409885861e+01 1.2e-01 4.88
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.128745040e+05 2.305050100e+03 1.2e-01 6.15
5 7.5e+01 9.7e+01 4.2e+03 -7.52e-01 -7.464877095e+04 9.750337787e+03 3.3e-02 7.52
6 3.0e+01 3.9e+01 1.7e+03 -1.94e-01 -4.061325889e+04 1.038313284e+04 1.3e-02 7.94
7 1.8e+01 2.3e+01 1.0e+03 3.92e-01 -2.711376300e+04 6.759406341e+03 8.0e-03 9.33
8 9.7e+00 1.3e+01 5.4e+02 6.31e-01 -1.563221718e+04 3.921992341e+03 4.3e-03 10.19
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.377814101e+03 1.902956385e+03 1.7e-03 11.16
10 2.1e+00 2.7e+00 1.2e+02 9.42e-01 -3.277240964e+03 1.216027688e+03 9.3e-04 12.33
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.515216215e+03 7.311986251e+02 4.6e-04 14.10
12 8.1e-01 1.0e+00 4.6e+01 9.78e-01 -1.187428812e+03 6.070207129e+02 3.6e-04 14.76
13 4.8e-01 6.2e-01 2.7e+01 9.74e-01 -6.492756525e+02 4.265917858e+02 2.2e-04 15.97
14 2.7e-01 3.5e-01 1.5e+01 1.00e+00 -2.813543649e+02 3.142397521e+02 1.2e-04 17.53
15 9.6e-02 1.5e-01 5.5e+00 1.00e+00 -8.234524561e+00 2.072939359e+02 4.4e-05 18.78
16 8.7e-02 1.3e-01 5.0e+00 1.02e+00 1.500550738e+01 2.092558596e+02 4.0e-05 20.21
17 5.9e-02 9.3e-02 3.4e+00 1.02e+00 6.336308485e+01 1.948922822e+02 2.7e-05 21.37
18 2.9e-02 7.0e-02 1.7e+00 1.02e+00 1.166825924e+02 1.805949426e+02 1.3e-05 21.57
19 8.2e-03 1.9e-01 4.8e-01 1.02e+00 1.531073278e+02 1.714055426e+02 3.8e-06 21.61
20 3.1e-03 2.2e-01 1.8e-01 1.01e+00 1.611498344e+02 1.681146000e+02 1.5e-06 21.65
21 1.8e-03 1.4e-01 1.1e-01 1.01e+00 1.633184122e+02 1.674979730e+02 8.9e-07 21.67
22 5.5e-04 1.3e-01 3.4e-02 1.01e+00 1.655217822e+02 1.668072411e+02 2.8e-07 22.75
23 4.0e-04 1.1e-01 2.5e-02 9.96e-01 1.657698715e+02 1.667104330e+02 2.1e-07 23.86
24 2.2e-04 7.8e-02 1.4e-02 9.85e-01 1.660774567e+02 1.665929469e+02 1.1e-07 23.91
25 1.9e-04 6.7e-02 1.2e-02 1.00e+00 1.661340349e+02 1.665753708e+02 9.6e-08 25.02
26 1.7e-04 6.1e-02 1.0e-02 1.01e+00 1.661667849e+02 1.665637297e+02 8.7e-08 25.85
27 1.5e-04 5.5e-02 9.4e-03 1.01e+00 1.661948350e+02 1.665519677e+02 7.8e-08 26.04
28 1.4e-04 5.1e-02 8.5e-03 1.01e+00 1.662202235e+02 1.665415663e+02 7.0e-08 26.07
29 1.2e-04 4.6e-02 7.6e-03 1.01e+00 1.662429631e+02 1.665321103e+02 6.3e-08 26.12
30 1.1e-04 4.2e-02 6.9e-03 1.01e+00 1.662633725e+02 1.665235549e+02 5.7e-08 26.18
31 9.9e-05 3.9e-02 6.2e-03 1.01e+00 1.662816861e+02 1.665158096e+02 5.1e-08 26.81
32 8.9e-05 3.6e-02 5.6e-03 1.01e+00 1.662981210e+02 1.665087992e+02 4.6e-08 27.72
33 8.0e-05 3.3e-02 5.0e-03 1.00e+00 1.663128702e+02 1.665024539e+02 4.2e-08 28.18
34 7.2e-05 3.0e-02 4.5e-03 1.00e+00 1.663261074e+02 1.664967112e+02 3.7e-08 28.29
35 6.5e-05 2.8e-02 4.1e-03 1.00e+00 1.663379881e+02 1.664915143e+02 3.4e-08 28.35
36 5.9e-05 2.6e-02 3.7e-03 1.00e+00 1.663486523e+02 1.664868120e+02 3.0e-08 28.41
37 5.3e-05 2.4e-02 3.3e-03 1.00e+00 1.663582255e+02 1.664825581e+02 2.7e-08 28.42
38 4.8e-05 2.3e-02 3.0e-03 1.00e+00 1.663668201e+02 1.664787106e+02 2.5e-08 28.45
39 4.3e-05 2.1e-02 2.7e-03 1.00e+00 1.663745370e+02 1.664752316e+02 2.2e-08 29.20
40 3.8e-05 2.0e-02 2.4e-03 1.00e+00 1.663814666e+02 1.664720862e+02 2.0e-08 29.35
41 3.5e-05 1.9e-02 2.2e-03 1.00e+00 1.663876898e+02 1.664692431e+02 1.8e-08 29.48
42 3.1e-05 1.7e-02 1.9e-03 1.00e+00 1.663932792e+02 1.664666738e+02 1.6e-08 29.60
43 2.8e-05 1.6e-02 1.8e-03 1.00e+00 1.663982997e+02 1.664643522e+02 1.5e-08 29.76
44 2.5e-05 1.6e-02 1.6e-03 1.00e+00 1.664028095e+02 1.664622548e+02 1.3e-08 29.99
45 2.3e-05 1.5e-02 1.4e-03 1.00e+00 1.664068609e+02 1.664603601e+02 1.2e-08 30.28
46 2.0e-05 1.4e-02 1.3e-03 1.00e+00 1.664105008e+02 1.664586490e+02 1.1e-08 30.40
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664137712e+02 1.664571036e+02 9.5e-09 30.56
48 1.7e-05 1.3e-02 1.0e-03 1.00e+00 1.664167097e+02 1.664557082e+02 8.6e-09 30.59
49 1.5e-05 1.2e-02 9.3e-04 1.00e+00 1.664193502e+02 1.664544485e+02 7.7e-09 30.62
50 1.3e-05 1.2e-02 8.4e-04 1.00e+00 1.664217231e+02 1.664533113e+02 7.0e-09 30.67
51 1.2e-05 1.2e-02 7.5e-04 1.00e+00 1.664238557e+02 1.664522848e+02 6.3e-09 30.73
52 1.1e-05 1.1e-02 6.8e-04 1.00e+00 1.664257725e+02 1.664513585e+02 5.6e-09 31.06
53 9.8e-06 1.1e-02 6.1e-04 1.00e+00 1.664274953e+02 1.664505227e+02 5.1e-09 31.18
54 8.8e-06 1.1e-02 5.5e-04 1.00e+00 1.664290439e+02 1.664497686e+02 4.6e-09 31.30
55 7.9e-06 1.0e-02 4.9e-04 1.00e+00 1.664304361e+02 1.664490883e+02 4.1e-09 31.71
56 7.1e-06 1.0e-02 4.5e-04 1.00e+00 1.664316877e+02 1.664484747e+02 3.7e-09 32.11
57 6.4e-06 9.8e-03 4.0e-04 1.00e+00 1.664328129e+02 1.664479213e+02 3.3e-09 32.55
58 5.8e-06 9.7e-03 3.6e-04 1.00e+00 1.664338246e+02 1.664474222e+02 3.0e-09 32.87
59 5.2e-06 9.5e-03 3.2e-04 1.00e+00 1.664347343e+02 1.664469722e+02 2.7e-09 32.91
60 4.7e-06 9.3e-03 2.9e-04 1.00e+00 1.664355523e+02 1.664465665e+02 2.4e-09 32.95
61 4.2e-06 9.2e-03 2.6e-04 1.00e+00 1.664362879e+02 1.664462007e+02 2.2e-09 32.96
62 3.8e-06 9.1e-03 2.4e-04 1.00e+00 1.664369492e+02 1.664458708e+02 2.0e-09 33.20
63 3.4e-06 8.9e-03 2.1e-04 1.00e+00 1.664375440e+02 1.664455735e+02 1.8e-09 33.55
64 3.1e-06 8.8e-03 1.9e-04 1.00e+00 1.664380788e+02 1.664453054e+02 1.6e-09 34.25
65 2.8e-06 8.7e-03 1.7e-04 1.00e+00 1.664385597e+02 1.664450638e+02 1.4e-09 34.79
66 2.5e-06 8.6e-03 1.6e-04 1.00e+00 1.664389923e+02 1.664448460e+02 1.3e-09 35.16
67 2.2e-06 8.6e-03 1.4e-04 1.00e+00 1.664393814e+02 1.664446498e+02 1.2e-09 35.19
68 2.0e-06 8.5e-03 1.3e-04 1.00e+00 1.664397315e+02 1.664444731e+02 1.0e-09 35.59
69 1.8e-06 8.4e-03 1.1e-04 1.00e+00 1.664400464e+02 1.664443138e+02 9.4e-10 35.99
70 1.6e-06 8.3e-03 1.0e-04 1.00e+00 1.664403296e+02 1.664441704e+02 8.5e-10 36.49
71 1.5e-06 8.3e-03 9.2e-05 1.00e+00 1.664405845e+02 1.664440412e+02 7.6e-10 36.88
72 1.3e-06 8.2e-03 8.3e-05 1.00e+00 1.664408138e+02 1.664439249e+02 6.9e-10 37.07
73 1.2e-06 8.2e-03 7.4e-05 1.00e+00 1.664410200e+02 1.664438201e+02 6.2e-10 37.12
74 1.1e-06 8.1e-03 6.7e-05 1.00e+00 1.664412056e+02 1.664437257e+02 5.6e-10 38.10
75 9.6e-07 8.1e-03 6.0e-05 1.00e+00 1.664413726e+02 1.664436407e+02 5.0e-10 38.22
76 8.7e-07 8.0e-03 5.4e-05 1.00e+00 1.664415228e+02 1.664435641e+02 4.5e-10 38.48
77 7.8e-07 8.0e-03 4.9e-05 1.00e+00 1.664416579e+02 1.664434951e+02 4.1e-10 38.66
78 7.0e-07 8.0e-03 4.4e-05 1.00e+00 1.664417795e+02 1.664434330e+02 3.6e-10 38.76
79 6.3e-07 7.9e-03 4.0e-05 1.00e+00 1.664418889e+02 1.664433770e+02 3.3e-10 38.91
80 5.7e-07 7.9e-03 3.6e-05 1.00e+00 1.664419872e+02 1.664433266e+02 3.0e-10 39.32
81 5.1e-07 7.9e-03 3.2e-05 1.00e+00 1.664420757e+02 1.664432812e+02 2.7e-10 39.65
82 4.6e-07 7.8e-03 2.9e-05 1.00e+00 1.664421553e+02 1.664432402e+02 2.4e-10 39.74
83 4.1e-07 7.8e-03 2.6e-05 1.00e+00 1.664422270e+02 1.664432034e+02 2.2e-10 39.78
84 3.7e-07 7.8e-03 2.3e-05 1.00e+00 1.664422914e+02 1.664431702e+02 1.9e-10 40.51
85 3.4e-07 7.8e-03 2.1e-05 1.00e+00 1.664423494e+02 1.664431403e+02 1.7e-10 41.07
86 3.0e-07 7.7e-03 1.9e-05 1.00e+00 1.664424015e+02 1.664431133e+02 1.6e-10 41.67
87 2.7e-07 7.7e-03 1.7e-05 1.00e+00 1.664424485e+02 1.664430891e+02 1.4e-10 42.07
88 2.4e-07 7.7e-03 1.5e-05 1.00e+00 1.664424907e+02 1.664430672e+02 1.3e-10 42.92
89 2.2e-07 7.7e-03 1.4e-05 9.99e-01 1.664425287e+02 1.664430476e+02 1.1e-10 43.68
90 2.0e-07 7.7e-03 1.2e-05 1.00e+00 1.664425629e+02 1.664430300e+02 1.0e-10 43.81
91 1.8e-07 7.6e-03 1.1e-05 1.00e+00 1.664425937e+02 1.664430140e+02 9.3e-11 44.26
92 1.6e-07 7.6e-03 1.0e-05 1.00e+00 1.664426214e+02 1.664429997e+02 8.3e-11 44.72
93 1.4e-07 7.6e-03 9.0e-06 9.99e-01 1.664426464e+02 1.664429868e+02 7.5e-11 44.94
94 1.3e-07 7.6e-03 8.1e-06 9.99e-01 1.664426688e+02 1.664429752e+02 6.8e-11 45.63
95 1.2e-07 7.6e-03 7.3e-06 1.00e+00 1.664426890e+02 1.664429648e+02 6.1e-11 46.23
96 1.1e-07 7.6e-03 6.6e-06 9.98e-01 1.664427072e+02 1.664429554e+02 5.5e-11 46.44
97 9.5e-08 7.6e-03 5.9e-06 9.99e-01 1.664427236e+02 1.664429470e+02 4.9e-11 47.11
98 8.5e-08 7.6e-03 5.3e-06 1.00e+00 1.664427383e+02 1.664429394e+02 4.4e-11 47.77
99 7.7e-08 7.5e-03 4.8e-06 1.00e+00 1.664427516e+02 1.664429325e+02 4.0e-11 48.51
100 6.9e-08 7.5e-03 4.3e-06 1.00e+00 1.664427635e+02 1.664429263e+02 3.6e-11 49.21
101 6.2e-08 6.8e-03 3.9e-06 1.00e+00 1.664427743e+02 1.664429207e+02 3.2e-11 49.39
102 5.6e-08 6.1e-03 3.5e-06 1.01e+00 1.664427842e+02 1.664429156e+02 2.9e-11 49.74
103 5.0e-08 5.5e-03 3.2e-06 1.00e+00 1.664427928e+02 1.664429111e+02 2.6e-11 50.22
104 4.5e-08 4.9e-03 2.8e-06 1.01e+00 1.664428007e+02 1.664429071e+02 2.4e-11 51.12
105 4.1e-08 4.5e-03 2.6e-06 1.00e+00 1.664428077e+02 1.664429034e+02 2.1e-11 51.81
106 3.7e-08 4.0e-03 2.3e-06 9.78e-01 1.664428140e+02 1.664429003e+02 1.9e-11 53.10
107 3.3e-08 3.6e-03 2.1e-06 9.90e-01 1.664428197e+02 1.664428974e+02 1.7e-11 54.83
108 3.0e-08 3.2e-03 1.9e-06 9.97e-01 1.664428248e+02 1.664428947e+02 1.6e-11 55.52
109 2.7e-08 2.9e-03 1.7e-06 9.73e-01 1.664428294e+02 1.664428924e+02 1.4e-11 55.56
110 2.4e-08 2.6e-03 1.5e-06 1.01e+00 1.664428337e+02 1.664428902e+02 1.3e-11 56.19
111 2.2e-08 2.4e-03 1.4e-06 1.02e+00 1.664428378e+02 1.664428880e+02 1.1e-11 56.32
112 2.0e-08 2.1e-03 1.2e-06 9.31e-01 1.664428411e+02 1.664428863e+02 1.0e-11 56.45
113 1.8e-08 1.9e-03 1.1e-06 9.61e-01 1.664428440e+02 1.664428849e+02 9.3e-12 57.07
114 1.6e-08 1.7e-03 9.9e-07 9.97e-01 1.664428467e+02 1.664428835e+02 8.4e-12 57.55
115 1.4e-08 1.6e-03 8.9e-07 9.99e-01 1.664428491e+02 1.664428822e+02 7.5e-12 57.68
116 1.3e-08 1.4e-03 8.0e-07 9.82e-01 1.664428513e+02 1.664428811e+02 6.8e-12 57.71
117 1.2e-08 1.3e-03 7.2e-07 8.39e-01 1.664428533e+02 1.664428801e+02 6.1e-12 57.75
118 1.0e-08 1.1e-03 6.5e-07 9.49e-01 1.664428550e+02 1.664428793e+02 5.5e-12 57.80
119 9.4e-09 1.0e-03 5.8e-07 7.90e-01 1.664428566e+02 1.664428785e+02 4.9e-12 57.83
120 8.9e-09 9.2e-04 5.3e-07 1.05e+00 1.664428584e+02 1.664428774e+02 4.6e-12 58.20
121 8.0e-09 8.3e-04 4.7e-07 9.07e-01 1.664428596e+02 1.664428768e+02 4.1e-12 58.52
122 7.9e-09 7.4e-04 4.3e-07 1.07e+00 1.664428612e+02 1.664428759e+02 3.8e-12 58.72
123 7.1e-09 6.7e-04 3.8e-07 9.93e-01 1.664428621e+02 1.664428754e+02 3.4e-12 58.86
124 6.9e-09 6.0e-04 3.4e-07 1.91e+00 1.664428628e+02 1.664428755e+02 3.1e-12 59.09
125 7.7e-09 5.4e-04 3.1e-07 6.68e-01 1.664428636e+02 1.664428754e+02 2.8e-12 59.44
126 7.4e-09 4.9e-04 2.8e-07 8.81e-01 1.664428643e+02 1.664428750e+02 2.5e-12 59.73
127 7.4e-09 4.4e-04 2.5e-07 1.16e+00 1.664428654e+02 1.664428741e+02 2.5e-12 59.84
128 6.8e-09 3.9e-04 2.3e-07 1.18e+00 1.664428664e+02 1.664428734e+02 2.4e-12 59.96
129 6.2e-09 3.6e-04 2.0e-07 6.54e-01 1.664428669e+02 1.664428730e+02 2.2e-12 59.99
130 8.2e-09 3.2e-04 1.8e-07 8.95e-01 1.664428673e+02 1.664428729e+02 2.0e-12 60.03
131 7.5e-09 2.9e-04 1.7e-07 1.13e+00 1.664428679e+02 1.664428725e+02 1.9e-12 60.07
132 8.2e-09 2.6e-04 1.5e-07 4.95e-01 1.664428682e+02 1.664428722e+02 1.7e-12 60.11
133 1.3e-08 2.3e-04 1.6e-07 1.00e+00 1.664428677e+02 1.664428720e+02 1.5e-12 60.38
134 1.3e-08 1.6e-05 1.1e-08 2.25e-01 1.664428712e+02 1.664428717e+02 4.0e-13 60.77
Interior-point optimizer terminated. Time: 60.77.
Optimizer terminated. Time: 60.78
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644287124e+02 Viol. con: 5e-07 var: 0e+00
Dual. obj: 1.6644287168e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 60.8 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3453 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.02 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286065414e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264430685e+05 3.560331132e+00 4.8e-01 0.78
2 4.3e+02 5.5e+02 2.4e+04 -9.36e-01 -1.201901268e+05 1.023711051e+01 1.8e-01 0.93
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154934761e+05 6.447302933e+01 1.2e-01 1.31
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.128470937e+05 2.299730567e+03 1.2e-01 1.54
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.454830625e+04 9.751096932e+03 3.3e-02 1.65
6 3.0e+01 3.9e+01 1.7e+03 -1.92e-01 -4.044531673e+04 1.032161282e+04 1.3e-02 1.90
7 1.8e+01 2.3e+01 1.0e+03 3.95e-01 -2.709803867e+04 6.726687333e+03 7.9e-03 1.97
8 9.6e+00 1.2e+01 5.3e+02 6.31e-01 -1.536829323e+04 3.868716493e+03 4.2e-03 2.01
9 3.6e+00 4.6e+00 2.0e+02 8.17e-01 -5.860048403e+03 1.801387919e+03 1.6e-03 2.04
10 2.0e+00 2.6e+00 1.1e+02 9.48e-01 -3.087503101e+03 1.198966153e+03 8.8e-04 2.08
11 8.5e-01 1.1e+00 4.8e+01 9.81e-01 -1.234100321e+03 6.213296150e+02 3.8e-04 2.13
12 8.2e-01 1.1e+00 4.6e+01 9.53e-01 -1.214658397e+03 5.968295920e+02 3.7e-04 2.45
13 5.1e-01 6.6e-01 2.9e+01 9.71e-01 -7.061227616e+02 4.306360617e+02 2.3e-04 2.72
14 3.1e-01 4.1e-01 1.7e+01 1.00e+00 -3.440582247e+02 3.401612027e+02 1.4e-04 2.83
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.609453545e+01 2.147728247e+02 4.9e-05 3.14
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.173520186e+01 2.053807608e+02 3.8e-05 3.85
17 4.1e-02 8.6e-02 2.4e+00 1.02e+00 9.596385909e+01 1.869200096e+02 1.9e-05 4.08
18 1.4e-02 8.5e-02 8.1e-01 1.02e+00 1.429823662e+02 1.741340340e+02 6.5e-06 4.22
19 5.9e-03 7.3e-02 3.4e-01 1.01e+00 1.562841746e+02 1.694758699e+02 2.8e-06 4.27
20 1.5e-03 1.5e-01 9.1e-02 1.01e+00 1.639170430e+02 1.673755512e+02 7.3e-07 4.30
21 7.3e-04 1.0e-01 4.5e-02 9.83e-01 1.651838370e+02 1.668992540e+02 3.7e-07 4.34
22 2.3e-04 1.1e-01 1.5e-02 9.96e-01 1.660253869e+02 1.665879243e+02 1.2e-07 4.39
23 1.1e-04 8.7e-02 7.1e-03 1.01e+00 1.662345848e+02 1.665014921e+02 5.9e-08 4.40
24 5.4e-05 7.5e-02 3.5e-03 1.01e+00 1.663291947e+02 1.664619381e+02 3.0e-08 4.75
25 4.9e-05 6.8e-02 3.2e-03 1.01e+00 1.663400012e+02 1.664595470e+02 2.7e-08 5.09
26 4.4e-05 6.2e-02 2.9e-03 1.01e+00 1.663482376e+02 1.664557896e+02 2.4e-08 5.61
27 3.9e-05 5.7e-02 2.6e-03 1.01e+00 1.663557497e+02 1.664525243e+02 2.2e-08 6.20
28 3.5e-05 5.2e-02 2.3e-03 1.01e+00 1.663624690e+02 1.664495463e+02 1.9e-08 6.50
29 3.2e-05 4.7e-02 2.1e-03 1.01e+00 1.663685057e+02 1.664468593e+02 1.7e-08 6.54
30 2.9e-05 4.3e-02 1.9e-03 1.01e+00 1.663739267e+02 1.664444320e+02 1.6e-08 6.57
31 2.6e-05 4.0e-02 1.7e-03 1.00e+00 1.663787959e+02 1.664422400e+02 1.4e-08 6.60
32 2.3e-05 3.7e-02 1.5e-03 1.00e+00 1.663831697e+02 1.664402608e+02 1.3e-08 7.03
33 2.1e-05 3.4e-02 1.4e-03 1.00e+00 1.663870989e+02 1.664384739e+02 1.1e-08 7.52
34 1.9e-05 3.1e-02 1.2e-03 1.00e+00 1.663906290e+02 1.664368608e+02 1.0e-08 7.99
35 1.7e-05 2.9e-02 1.1e-03 1.00e+00 1.663938007e+02 1.664354047e+02 9.3e-09 8.64
36 1.5e-05 2.7e-02 9.9e-04 1.00e+00 1.663966506e+02 1.664340905e+02 8.3e-09 8.78
37 1.4e-05 2.5e-02 9.0e-04 1.00e+00 1.663992116e+02 1.664329045e+02 7.5e-09 8.81
38 1.2e-05 2.3e-02 8.1e-04 1.00e+00 1.664015131e+02 1.664318343e+02 6.8e-09 8.87
39 1.1e-05 2.2e-02 7.3e-04 1.00e+00 1.664035815e+02 1.664308687e+02 6.1e-09 8.91
40 1.0e-05 2.0e-02 6.5e-04 1.00e+00 1.664054407e+02 1.664299976e+02 5.5e-09 10.22
41 9.0e-06 1.9e-02 5.9e-04 1.00e+00 1.664071119e+02 1.664292119e+02 4.9e-09 11.70
42 8.1e-06 1.8e-02 5.3e-04 1.00e+00 1.664086142e+02 1.664285032e+02 4.4e-09 12.72
43 7.3e-06 1.7e-02 4.8e-04 1.00e+00 1.664099647e+02 1.664278640e+02 4.0e-09 13.33
44 6.6e-06 1.6e-02 4.3e-04 1.00e+00 1.664111789e+02 1.664272877e+02 3.6e-09 14.68
45 5.9e-06 1.5e-02 3.9e-04 1.00e+00 1.664122707e+02 1.664267681e+02 3.2e-09 15.90
46 5.3e-06 1.5e-02 3.5e-04 1.00e+00 1.664132523e+02 1.664262996e+02 2.9e-09 16.78
47 4.8e-06 1.4e-02 3.1e-04 1.00e+00 1.664141351e+02 1.664258773e+02 2.6e-09 18.28
48 4.3e-06 1.3e-02 2.8e-04 1.00e+00 1.664149288e+02 1.664254966e+02 2.4e-09 19.32
49 3.9e-06 1.3e-02 2.5e-04 1.00e+00 1.664156426e+02 1.664251535e+02 2.1e-09 20.25
50 3.5e-06 1.2e-02 2.3e-04 1.00e+00 1.664162845e+02 1.664248441e+02 1.9e-09 21.60
51 3.1e-06 1.2e-02 2.0e-04 1.00e+00 1.664168618e+02 1.664245653e+02 1.7e-09 22.55
52 2.8e-06 1.1e-02 1.8e-04 1.00e+00 1.664173809e+02 1.664243140e+02 1.5e-09 23.63
53 2.5e-06 1.1e-02 1.7e-04 1.00e+00 1.664178478e+02 1.664240876e+02 1.4e-09 24.81
54 2.3e-06 1.1e-02 1.5e-04 1.00e+00 1.664182678e+02 1.664238835e+02 1.3e-09 25.59
55 2.1e-06 1.1e-02 1.3e-04 1.00e+00 1.664186456e+02 1.664236998e+02 1.1e-09 26.87
56 1.9e-06 1.0e-02 1.2e-04 1.00e+00 1.664189855e+02 1.664235342e+02 1.0e-09 28.05
57 1.7e-06 1.0e-02 1.1e-04 1.00e+00 1.664192913e+02 1.664233851e+02 9.1e-10 29.54
58 1.5e-06 9.8e-03 9.8e-05 1.00e+00 1.664195664e+02 1.664232509e+02 8.2e-10 30.40
59 1.4e-06 9.6e-03 8.8e-05 1.00e+00 1.664198139e+02 1.664231299e+02 7.4e-10 31.44
60 1.2e-06 9.4e-03 7.9e-05 1.00e+00 1.664200366e+02 1.664230210e+02 6.7e-10 31.49
61 1.1e-06 9.3e-03 7.1e-05 1.00e+00 1.664202369e+02 1.664229229e+02 6.0e-10 31.54
62 9.9e-07 9.1e-03 6.4e-05 1.00e+00 1.664204172e+02 1.664228346e+02 5.4e-10 31.59
63 8.9e-07 9.0e-03 5.8e-05 1.00e+00 1.664205794e+02 1.664227550e+02 4.9e-10 32.59
64 8.0e-07 8.9e-03 5.2e-05 1.00e+00 1.664207253e+02 1.664226834e+02 4.4e-10 33.95
65 7.2e-07 8.8e-03 4.7e-05 1.00e+00 1.664208565e+02 1.664226188e+02 3.9e-10 35.14
66 6.5e-07 8.7e-03 4.2e-05 1.00e+00 1.664209746e+02 1.664225606e+02 3.5e-10 36.01
67 5.8e-07 8.6e-03 3.8e-05 1.00e+00 1.664210808e+02 1.664225083e+02 3.2e-10 37.21
68 5.2e-07 8.5e-03 3.4e-05 1.00e+00 1.664211764e+02 1.664224611e+02 2.9e-10 38.60
69 4.7e-07 8.4e-03 3.1e-05 1.00e+00 1.664212623e+02 1.664224186e+02 2.6e-10 39.42
70 4.2e-07 8.3e-03 2.8e-05 1.00e+00 1.664213397e+02 1.664223803e+02 2.3e-10 40.47
71 3.8e-07 8.3e-03 2.5e-05 1.00e+00 1.664214092e+02 1.664223458e+02 2.1e-10 40.69
72 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664214718e+02 1.664223146e+02 1.9e-10 41.80
73 3.1e-07 8.2e-03 2.0e-05 1.00e+00 1.664215281e+02 1.664222867e+02 1.7e-10 42.99
74 2.8e-07 8.1e-03 1.8e-05 1.00e+00 1.664215787e+02 1.664222614e+02 1.5e-10 43.94
75 2.5e-07 8.1e-03 1.6e-05 1.00e+00 1.664216243e+02 1.664222387e+02 1.4e-10 45.22
76 2.3e-07 8.0e-03 1.5e-05 1.00e+00 1.664216653e+02 1.664222183e+02 1.2e-10 46.30
77 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664217022e+02 1.664221999e+02 1.1e-10 47.50
78 1.8e-07 7.9e-03 1.2e-05 1.00e+00 1.664217354e+02 1.664221833e+02 1.0e-10 48.75
79 1.6e-07 7.9e-03 1.1e-05 9.99e-01 1.664217653e+02 1.664221684e+02 9.0e-11 50.19
80 1.5e-07 7.9e-03 9.7e-06 1.00e+00 1.664217922e+02 1.664221550e+02 8.1e-11 51.35
81 1.3e-07 7.9e-03 8.7e-06 1.00e+00 1.664218164e+02 1.664221428e+02 7.3e-11 52.84
82 1.2e-07 7.8e-03 7.8e-06 1.00e+00 1.664218382e+02 1.664221320e+02 6.6e-11 54.48
83 1.1e-07 7.8e-03 7.0e-06 9.99e-01 1.664218578e+02 1.664221222e+02 5.9e-11 55.74
84 9.7e-08 7.8e-03 6.3e-06 9.95e-01 1.664218754e+02 1.664221134e+02 5.3e-11 56.36
85 8.7e-08 7.0e-03 5.7e-06 1.01e+00 1.664218915e+02 1.664221053e+02 4.8e-11 56.42
86 7.9e-08 6.3e-03 5.1e-06 9.95e-01 1.664219057e+02 1.664220982e+02 4.3e-11 57.76
87 7.1e-08 5.7e-03 4.6e-06 9.93e-01 1.664219186e+02 1.664220919e+02 3.9e-11 59.20
88 6.4e-08 5.1e-03 4.2e-06 1.01e+00 1.664219303e+02 1.664220860e+02 3.5e-11 59.90
89 5.7e-08 4.6e-03 3.7e-06 1.01e+00 1.664219409e+02 1.664220807e+02 3.2e-11 60.20
90 5.2e-08 4.1e-03 3.4e-06 1.00e+00 1.664219502e+02 1.664220759e+02 2.8e-11 60.70
91 4.6e-08 3.7e-03 3.0e-06 1.00e+00 1.664219587e+02 1.664220717e+02 2.6e-11 61.07
92 4.2e-08 3.3e-03 2.7e-06 1.00e+00 1.664219663e+02 1.664220679e+02 2.3e-11 62.13
93 3.8e-08 3.0e-03 2.5e-06 9.83e-01 1.664219730e+02 1.664220646e+02 2.1e-11 63.50
94 3.4e-08 2.7e-03 2.2e-06 1.00e+00 1.664219791e+02 1.664220615e+02 1.9e-11 64.52
95 3.0e-08 2.4e-03 2.0e-06 9.72e-01 1.664219846e+02 1.664220589e+02 1.7e-11 65.79
96 2.7e-08 2.2e-03 1.8e-06 9.67e-01 1.664219895e+02 1.664220565e+02 1.5e-11 66.82
97 2.5e-08 2.0e-03 1.6e-06 9.91e-01 1.664219939e+02 1.664220542e+02 1.4e-11 68.16
98 2.2e-08 1.8e-03 1.4e-06 1.01e+00 1.664219982e+02 1.664220521e+02 1.2e-11 69.29
99 2.0e-08 1.6e-03 1.3e-06 9.84e-01 1.664220017e+02 1.664220503e+02 1.1e-11 70.39
100 1.8e-08 1.4e-03 1.2e-06 9.80e-01 1.664220050e+02 1.664220487e+02 1.0e-11 71.30
101 1.6e-08 1.3e-03 1.1e-06 1.00e+00 1.664220079e+02 1.664220472e+02 9.0e-12 72.74
102 1.5e-08 1.2e-03 9.5e-07 1.01e+00 1.664220106e+02 1.664220459e+02 8.1e-12 73.78
103 1.3e-08 1.0e-03 8.6e-07 1.01e+00 1.664220130e+02 1.664220446e+02 7.3e-12 75.32
104 1.2e-08 9.4e-04 7.7e-07 9.35e-01 1.664220151e+02 1.664220436e+02 6.6e-12 76.64
105 1.1e-08 8.5e-04 6.9e-07 1.01e+00 1.664220171e+02 1.664220426e+02 6.0e-12 76.83
106 9.6e-09 7.6e-04 6.2e-07 9.88e-01 1.664220188e+02 1.664220418e+02 5.4e-12 78.41
107 8.7e-09 6.9e-04 5.6e-07 1.01e+00 1.664220203e+02 1.664220410e+02 4.9e-12 80.08
108 7.8e-09 6.2e-04 5.1e-07 9.68e-01 1.664220217e+02 1.664220403e+02 4.4e-12 81.30
109 7.0e-09 5.6e-04 4.5e-07 9.82e-01 1.664220229e+02 1.664220397e+02 3.9e-12 81.40
110 6.4e-09 5.0e-04 4.1e-07 1.01e+00 1.664220241e+02 1.664220391e+02 3.6e-12 83.82
111 5.7e-09 4.5e-04 3.7e-07 9.66e-01 1.664220251e+02 1.664220386e+02 3.2e-12 84.95
112 5.3e-09 4.1e-04 3.3e-07 1.18e+00 1.664220267e+02 1.664220376e+02 3.2e-12 85.87
113 5.1e-09 3.7e-04 3.0e-07 1.18e+00 1.664220281e+02 1.664220369e+02 3.1e-12 86.60
114 4.6e-09 3.3e-04 2.7e-07 9.42e-01 1.664220286e+02 1.664220366e+02 2.8e-12 88.44
115 4.4e-09 3.0e-04 2.4e-07 9.34e-01 1.664220292e+02 1.664220363e+02 2.5e-12 90.05
116 3.9e-09 2.7e-04 2.2e-07 1.04e+00 1.664220297e+02 1.664220361e+02 2.3e-12 91.97
117 3.5e-09 2.4e-04 2.0e-07 9.75e-01 1.664220302e+02 1.664220359e+02 2.1e-12 92.65
118 2.1e-09 1.4e-05 1.1e-08 9.11e-01 1.664220339e+02 1.664220342e+02 2.0e-13 94.32
Interior-point optimizer terminated. Time: 94.32.
Optimizer terminated. Time: 94.33
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203388e+02 Viol. con: 6e-08 var: 0e+00
Dual. obj: 1.6642203422e+02 Viol. con: 0e+00 var: 8e-05
* End solution on dual form. *
Transforming to primal solution.
Solving took 94.4 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 933
Eliminator terminated.
Eliminator started.
Total number of eliminations : 943
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 943
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 777
Optimizer - Cones : 0
Optimizer - Scalar variables : 3453 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 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 : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.286056957e+05 2.000000000e+00 1.0e+00 0.06
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.264419967e+05 3.560120831e+00 4.8e-01 1.23
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.201704439e+05 1.025024774e+01 1.8e-01 2.36
3 2.9e+02 3.7e+02 1.6e+04 -8.38e-01 -1.154695686e+05 6.471596986e+01 1.2e-01 2.77
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.128250834e+05 2.298173687e+03 1.2e-01 3.88
5 7.5e+01 9.6e+01 4.1e+03 -7.51e-01 -7.433518558e+04 9.779656886e+03 3.3e-02 5.25
6 3.0e+01 3.9e+01 1.7e+03 -1.89e-01 -4.033413357e+04 1.028459040e+04 1.3e-02 6.30
7 1.8e+01 2.3e+01 1.0e+03 3.97e-01 -2.709322953e+04 6.722354313e+03 7.9e-03 7.30
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.525036903e+04 3.846202903e+03 4.2e-03 8.34
9 3.2e+00 4.2e+00 1.8e+02 8.18e-01 -5.232981175e+03 1.674991585e+03 1.4e-03 9.62
10 1.6e+00 2.0e+00 8.9e+01 9.56e-01 -2.390214510e+03 1.063625498e+03 7.1e-04 10.75
11 1.0e+00 1.3e+00 5.7e+01 9.86e-01 -1.466274688e+03 7.475104890e+02 4.5e-04 11.05
12 8.8e-01 1.1e+00 4.9e+01 9.70e-01 -1.288872100e+03 6.622267079e+02 3.9e-04 11.87
13 4.9e-01 6.3e-01 2.7e+01 9.78e-01 -6.563126199e+02 4.323200809e+02 2.2e-04 12.92
14 2.7e-01 3.6e-01 1.5e+01 1.00e+00 -2.904712584e+02 3.188283560e+02 1.2e-04 13.93
15 9.8e-02 1.5e-01 5.6e+00 9.99e-01 -1.146924045e+01 2.095860486e+02 4.5e-05 15.36
16 8.0e-02 1.2e-01 4.6e+00 1.02e+00 2.727096391e+01 2.073906238e+02 3.7e-05 16.82
17 6.4e-02 9.6e-02 3.6e+00 1.02e+00 5.585031943e+01 1.980652430e+02 2.9e-05 17.74
18 1.9e-02 8.9e-02 1.1e+00 1.02e+00 1.333640206e+02 1.765179328e+02 9.0e-06 18.85
19 6.2e-03 1.9e-01 3.6e-01 1.02e+00 1.561705039e+02 1.700462601e+02 2.9e-06 20.45
20 3.4e-03 2.2e-01 2.0e-01 1.01e+00 1.606056184e+02 1.683293328e+02 1.6e-06 21.32
21 1.0e-03 1.4e-01 6.1e-02 1.01e+00 1.647156479e+02 1.670479885e+02 5.0e-07 22.38
22 7.2e-04 1.1e-01 4.4e-02 9.90e-01 1.651969474e+02 1.668797277e+02 3.6e-07 23.96
23 2.1e-04 1.1e-01 1.3e-02 9.87e-01 1.660532813e+02 1.665562441e+02 1.1e-07 24.51
24 9.9e-05 9.0e-02 6.4e-03 1.01e+00 1.662388726e+02 1.664809826e+02 5.3e-08 25.90
25 4.0e-05 8.7e-02 2.6e-03 1.01e+00 1.663396705e+02 1.664378292e+02 2.2e-08 27.73
26 3.6e-05 8.0e-02 2.3e-03 1.01e+00 1.663476136e+02 1.664359915e+02 2.0e-08 30.03
27 3.2e-05 7.3e-02 2.1e-03 1.01e+00 1.663536494e+02 1.664331617e+02 1.8e-08 31.26
28 2.9e-05 6.6e-02 1.9e-03 1.01e+00 1.663591743e+02 1.664307174e+02 1.6e-08 32.75
29 2.6e-05 6.0e-02 1.7e-03 1.01e+00 1.663641217e+02 1.664284951e+02 1.4e-08 33.53
30 2.4e-05 5.5e-02 1.5e-03 1.01e+00 1.663685677e+02 1.664264912e+02 1.3e-08 35.52
31 2.1e-05 5.0e-02 1.4e-03 1.01e+00 1.663725612e+02 1.664246820e+02 1.2e-08 37.33
32 1.9e-05 4.6e-02 1.2e-03 1.00e+00 1.663761490e+02 1.664230493e+02 1.0e-08 39.04
33 1.7e-05 4.2e-02 1.1e-03 1.00e+00 1.663793726e+02 1.664215758e+02 9.4e-09 41.06
34 1.5e-05 3.9e-02 1.0e-03 1.00e+00 1.663822691e+02 1.664202463e+02 8.5e-09 42.34
35 1.4e-05 3.6e-02 9.1e-04 1.00e+00 1.663848719e+02 1.664190467e+02 7.6e-09 42.71
36 1.3e-05 3.3e-02 8.2e-04 1.00e+00 1.663872111e+02 1.664179646e+02 6.9e-09 44.08
37 1.1e-05 3.0e-02 7.3e-04 1.00e+00 1.663893134e+02 1.664169885e+02 6.2e-09 45.33
38 1.0e-05 2.8e-02 6.6e-04 1.00e+00 1.663912031e+02 1.664161082e+02 5.6e-09 46.25
39 9.1e-06 2.6e-02 5.9e-04 1.00e+00 1.663929017e+02 1.664153142e+02 5.0e-09 46.97
40 8.2e-06 2.4e-02 5.4e-04 1.00e+00 1.663944287e+02 1.664145984e+02 4.5e-09 47.93
41 7.4e-06 2.3e-02 4.8e-04 1.00e+00 1.663958016e+02 1.664139529e+02 4.0e-09 48.75
42 6.7e-06 2.1e-02 4.3e-04 1.00e+00 1.663970359e+02 1.664133711e+02 3.6e-09 49.55
43 6.0e-06 2.0e-02 3.9e-04 1.00e+00 1.663981458e+02 1.664128466e+02 3.3e-09 50.38
44 5.4e-06 1.9e-02 3.5e-04 1.00e+00 1.663991438e+02 1.664123738e+02 3.0e-09 51.04
45 4.9e-06 1.8e-02 3.2e-04 1.00e+00 1.664000412e+02 1.664119477e+02 2.7e-09 51.83
46 4.4e-06 1.7e-02 2.8e-04 1.00e+00 1.664008483e+02 1.664115637e+02 2.4e-09 52.67
47 3.9e-06 1.6e-02 2.6e-04 1.00e+00 1.664015740e+02 1.664112175e+02 2.2e-09 53.33
48 3.5e-06 1.5e-02 2.3e-04 1.00e+00 1.664022267e+02 1.664109056e+02 1.9e-09 54.53
49 3.2e-06 1.4e-02 2.1e-04 1.00e+00 1.664028136e+02 1.664106244e+02 1.7e-09 55.33
50 2.9e-06 1.4e-02 1.9e-04 1.00e+00 1.664033415e+02 1.664103710e+02 1.6e-09 56.37
51 2.6e-06 1.3e-02 1.7e-04 1.00e+00 1.664038163e+02 1.664101427e+02 1.4e-09 57.24
52 2.3e-06 1.3e-02 1.5e-04 1.00e+00 1.664042434e+02 1.664099370e+02 1.3e-09 58.76
53 2.1e-06 1.2e-02 1.4e-04 1.00e+00 1.664046276e+02 1.664097517e+02 1.1e-09 59.89
54 1.9e-06 1.2e-02 1.2e-04 1.00e+00 1.664049732e+02 1.664095849e+02 1.0e-09 60.56
55 1.7e-06 1.1e-02 1.1e-04 1.00e+00 1.664052842e+02 1.664094346e+02 9.3e-10 60.96
56 1.5e-06 1.1e-02 9.9e-05 1.00e+00 1.664055639e+02 1.664092993e+02 8.3e-10 61.85
57 1.4e-06 1.1e-02 8.9e-05 1.00e+00 1.664058156e+02 1.664091774e+02 7.5e-10 62.70
58 1.2e-06 1.0e-02 8.0e-05 1.00e+00 1.664060421e+02 1.664090677e+02 6.8e-10 63.97
59 1.1e-06 1.0e-02 7.2e-05 1.00e+00 1.664062459e+02 1.664089689e+02 6.1e-10 64.79
60 1.0e-06 9.8e-03 6.5e-05 1.00e+00 1.664064292e+02 1.664088799e+02 5.5e-10 65.51
61 9.0e-07 9.6e-03 5.9e-05 1.00e+00 1.664065941e+02 1.664087997e+02 4.9e-10 66.52
62 8.1e-07 9.4e-03 5.3e-05 1.00e+00 1.664067425e+02 1.664087275e+02 4.4e-10 68.10
63 7.3e-07 9.2e-03 4.7e-05 1.00e+00 1.664068760e+02 1.664086625e+02 4.0e-10 69.65
64 6.6e-07 9.1e-03 4.3e-05 1.00e+00 1.664069961e+02 1.664086040e+02 3.6e-10 69.99
65 5.9e-07 8.9e-03 3.8e-05 1.00e+00 1.664071041e+02 1.664085512e+02 3.2e-10 70.68
66 5.3e-07 8.8e-03 3.5e-05 1.00e+00 1.664072013e+02 1.664085037e+02 2.9e-10 72.37
67 4.8e-07 8.7e-03 3.1e-05 1.00e+00 1.664072887e+02 1.664084608e+02 2.6e-10 73.43
68 4.3e-07 8.6e-03 2.8e-05 1.00e+00 1.664073674e+02 1.664084223e+02 2.4e-10 74.97
69 3.9e-07 8.5e-03 2.5e-05 1.00e+00 1.664074381e+02 1.664083875e+02 2.1e-10 76.07
70 3.5e-07 8.4e-03 2.3e-05 1.00e+00 1.664075017e+02 1.664083562e+02 1.9e-10 76.75
71 3.1e-07 8.3e-03 2.0e-05 1.00e+00 1.664075590e+02 1.664083280e+02 1.7e-10 76.83
72 2.8e-07 8.3e-03 1.8e-05 1.00e+00 1.664076105e+02 1.664083026e+02 1.5e-10 78.50
73 2.5e-07 8.2e-03 1.7e-05 1.00e+00 1.664076568e+02 1.664082797e+02 1.4e-10 80.08
74 2.3e-07 8.1e-03 1.5e-05 1.00e+00 1.664076985e+02 1.664082591e+02 1.3e-10 81.41
75 2.1e-07 8.1e-03 1.3e-05 1.00e+00 1.664077360e+02 1.664082405e+02 1.1e-10 82.19
76 1.9e-07 8.0e-03 1.2e-05 1.00e+00 1.664077698e+02 1.664082238e+02 1.0e-10 83.29
77 1.7e-07 8.0e-03 1.1e-05 9.98e-01 1.664078002e+02 1.664082088e+02 9.1e-11 83.57
78 1.5e-07 7.9e-03 9.8e-06 1.00e+00 1.664078275e+02 1.664081953e+02 8.2e-11 83.65
79 1.4e-07 7.9e-03 8.8e-06 1.00e+00 1.664078521e+02 1.664081830e+02 7.4e-11 84.61
80 1.2e-07 7.9e-03 7.9e-06 9.99e-01 1.664078742e+02 1.664081721e+02 6.7e-11 85.25
81 1.1e-07 7.8e-03 7.1e-06 1.00e+00 1.664078942e+02 1.664081622e+02 6.0e-11 85.76
82 9.9e-08 7.8e-03 6.4e-06 1.00e+00 1.664079121e+02 1.664081533e+02 5.4e-11 86.60
83 8.9e-08 7.8e-03 5.8e-06 1.00e+00 1.664079282e+02 1.664081453e+02 4.9e-11 87.73
84 8.0e-08 7.8e-03 5.2e-06 1.00e+00 1.664079428e+02 1.664081380e+02 4.4e-11 88.82
85 7.2e-08 7.7e-03 4.7e-06 9.98e-01 1.664079559e+02 1.664081316e+02 3.9e-11 89.84
86 6.5e-08 7.7e-03 4.2e-06 1.00e+00 1.664079676e+02 1.664081257e+02 3.5e-11 90.36
87 5.8e-08 6.9e-03 3.8e-06 1.01e+00 1.664079783e+02 1.664081204e+02 3.2e-11 90.46
88 5.2e-08 6.3e-03 3.4e-06 1.01e+00 1.664079883e+02 1.664081154e+02 2.9e-11 91.47
89 4.7e-08 5.6e-03 3.1e-06 1.00e+00 1.664079968e+02 1.664081112e+02 2.6e-11 92.54
90 4.2e-08 5.1e-03 2.8e-06 9.94e-01 1.664080045e+02 1.664081074e+02 2.3e-11 92.60
91 3.8e-08 4.6e-03 2.5e-06 1.01e+00 1.664080116e+02 1.664081039e+02 2.1e-11 93.80
92 3.4e-08 4.1e-03 2.2e-06 1.01e+00 1.664080180e+02 1.664081006e+02 1.9e-11 95.03
93 3.1e-08 3.7e-03 2.0e-06 9.97e-01 1.664080236e+02 1.664080979e+02 1.7e-11 95.99
94 2.8e-08 3.3e-03 1.8e-06 1.02e+00 1.664080289e+02 1.664080952e+02 1.6e-11 97.27
95 2.5e-08 3.0e-03 1.6e-06 9.95e-01 1.664080333e+02 1.664080930e+02 1.4e-11 99.15
96 2.3e-08 2.7e-03 1.5e-06 9.70e-01 1.664080373e+02 1.664080911e+02 1.3e-11 100.10
97 2.0e-08 2.4e-03 1.3e-06 9.89e-01 1.664080409e+02 1.664080893e+02 1.1e-11 101.08
98 1.8e-08 2.2e-03 1.2e-06 9.79e-01 1.664080441e+02 1.664080878e+02 1.0e-11 102.40
99 1.6e-08 2.0e-03 1.1e-06 1.01e+00 1.664080471e+02 1.664080863e+02 9.2e-12 103.93
100 1.5e-08 1.8e-03 9.6e-07 9.80e-01 1.664080497e+02 1.664080850e+02 8.3e-12 103.98
101 1.3e-08 1.6e-03 8.7e-07 9.98e-01 1.664080521e+02 1.664080838e+02 7.5e-12 104.02
102 1.2e-08 1.4e-03 7.8e-07 1.02e+00 1.664080544e+02 1.664080827e+02 6.8e-12 105.53
103 1.1e-08 1.3e-03 7.0e-07 9.61e-01 1.664080562e+02 1.664080817e+02 6.1e-12 106.18
104 9.8e-09 1.2e-03 6.3e-07 1.06e+00 1.664080584e+02 1.664080806e+02 5.7e-12 106.22
105 8.9e-09 1.0e-03 5.7e-07 9.18e-01 1.664080599e+02 1.664080799e+02 5.1e-12 106.26
106 8.2e-09 9.4e-04 5.1e-07 1.11e+00 1.664080619e+02 1.664080788e+02 4.8e-12 106.89
107 7.3e-09 8.4e-04 4.6e-07 9.13e-01 1.664080630e+02 1.664080783e+02 4.4e-12 107.79
108 6.6e-09 7.6e-04 4.1e-07 8.69e-01 1.664080640e+02 1.664080778e+02 3.9e-12 109.07
109 6.0e-09 6.8e-04 3.7e-07 8.48e-01 1.664080649e+02 1.664080775e+02 3.5e-12 110.07
110 5.5e-09 6.2e-04 3.4e-07 1.04e+00 1.664080659e+02 1.664080769e+02 3.3e-12 111.20
111 5.0e-09 5.5e-04 3.0e-07 9.44e-01 1.664080666e+02 1.664080766e+02 2.9e-12 111.95
112 4.6e-09 5.0e-04 2.7e-07 7.04e-01 1.664080673e+02 1.664080763e+02 2.6e-12 113.69
113 5.4e-09 4.5e-04 2.4e-07 1.13e+00 1.664080682e+02 1.664080758e+02 2.5e-12 114.61
114 4.7e-09 4.0e-04 2.2e-07 1.41e+00 1.664080687e+02 1.664080755e+02 2.3e-12 115.43
115 4.2e-09 3.6e-04 2.0e-07 1.07e+00 1.664080693e+02 1.664080752e+02 2.1e-12 116.70
116 3.8e-09 3.3e-04 1.8e-07 9.53e-01 1.664080697e+02 1.664080750e+02 1.9e-12 117.62
117 3.4e-09 2.9e-04 1.6e-07 9.04e-01 1.664080701e+02 1.664080748e+02 1.7e-12 118.97
118 3.1e-09 2.7e-04 1.4e-07 1.03e+00 1.664080704e+02 1.664080746e+02 1.6e-12 119.89
119 2.9e-09 2.4e-04 1.3e-07 9.86e-01 1.664080707e+02 1.664080745e+02 1.4e-12 121.35
120 4.2e-09 4.8e-05 2.6e-08 8.09e-01 1.664080728e+02 1.664080736e+02 3.6e-13 122.16
Interior-point optimizer terminated. Time: 122.16.
Optimizer terminated. Time: 122.17
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807281e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6640807363e+02 Viol. con: 0e+00 var: 3e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 122 seconds.
Solving took 9 GP solves and 1.19e+03 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: 1.4957407204225517e+110 vs 1.49570249141e+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: 3.705337509065908e+72 vs 3.70520528258e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682624]
Total Aircraft Weight Percent Diff: [-21.48055733]
Engine Weight Percent Diff: -56.27818362379747
Fuselage Weight Percent Diff: -0.8697362691052356
Payload Weight Percent Diff: [-0.0400356]
VT Weight Percent Diff: -8.607866130527928
HT Weight Percent Diff: -93.23329139926567
Wing Weight Percent Diff: 8.267489245824166
WING DIFFERENCES
Wing Span Percent Diff: -0.02999324793384736
Wing Area Percent Diff: 32.899936572099996
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.48900988637332
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.02233933720295
VT Area Percent Diff: -60.38683466018138
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54726056]
L/D Percent Diff: [24.01022369]
Nacelle Cd Percent Diff: [-94.27641803]
HT Cd Percent Diff: [-80.76939309] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00298763] dimensionless
Wing Cd percent Diff: [-14.22922039]
Induced Drag Cd Percent Diff: [1.2194163]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57036204]
FUSELAGE DIFFERENCES
Weight of HB material: -38.360804844391055
Weight of VB material: 87.81770550964215
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260526]
Mission1
========
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission1.Aircraft.Wing.WingBox.N_{lift} = 3
Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/dum[:])^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/dum[:])^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission1.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission1.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*Mission1.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission1.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission1.Aircraft.Wing.WingBox.r_{w/c} = Mission1.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission1.Aircraft.Fuselage.N_{lift} = Mission1.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission1.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission1.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission1.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission1.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 945
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 945
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 775
Optimizer - Cones : 0
Optimizer - Scalar variables : 3450 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 : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281666983e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.3e+04 -9.71e-01 -1.261218226e+05 3.598635511e+00 4.9e-01 0.88
2 4.2e+02 5.4e+02 2.3e+04 -9.38e-01 -1.196986776e+05 1.049612556e+01 1.8e-01 1.42
3 2.9e+02 3.7e+02 1.6e+04 -8.36e-01 -1.152517365e+05 6.526812103e+01 1.3e-01 1.45
4 2.8e+02 3.7e+02 1.6e+04 -7.59e-01 -1.127868408e+05 2.118228548e+03 1.3e-01 1.52
5 8.8e+01 1.1e+02 5.0e+03 -7.53e-01 -8.068799576e+04 8.526618424e+03 3.9e-02 1.56
6 3.7e+01 4.8e+01 2.1e+03 -2.93e-01 -4.760458966e+04 1.028990388e+04 1.6e-02 2.70
7 2.1e+01 2.8e+01 1.2e+03 2.57e-01 -3.157726260e+04 7.236293748e+03 9.5e-03 4.41
8 9.4e+00 1.2e+01 5.3e+02 5.39e-01 -1.509593591e+04 4.206138280e+03 4.2e-03 5.98
9 5.5e+00 7.1e+00 3.1e+02 8.14e-01 -8.773768620e+03 2.846846543e+03 2.5e-03 7.74
10 1.4e+00 1.8e+00 7.7e+01 9.08e-01 -2.041784782e+03 9.404571849e+02 6.1e-04 9.42
11 7.0e-01 9.1e-01 4.0e+01 9.94e-01 -8.319589353e+02 7.263088852e+02 3.2e-04 10.43
12 4.7e-01 6.2e-01 2.7e+01 9.97e-01 -4.792739518e+02 5.657797535e+02 2.2e-04 11.19
13 3.6e-01 7.9e-01 2.1e+01 9.79e-01 -3.146735073e+02 4.898416787e+02 1.6e-04 12.56
14 1.7e-01 3.8e-01 9.9e+00 9.96e-01 -1.839482231e+01 3.675794473e+02 7.9e-05 12.89
15 5.5e-02 1.6e-01 3.3e+00 9.95e-01 1.625345294e+02 2.906236598e+02 2.7e-05 14.45
16 3.2e-02 1.4e-01 1.9e+00 1.00e+00 1.998987374e+02 2.749101314e+02 1.6e-05 16.34
17 5.1e-03 1.8e-01 3.3e-01 1.00e+00 2.445645877e+02 2.572751647e+02 2.8e-06 17.30
18 1.5e-03 1.3e-01 9.6e-02 1.00e+00 2.509515436e+02 2.547018908e+02 8.4e-07 17.36
19 4.8e-04 1.1e-01 3.2e-02 1.00e+00 2.527847280e+02 2.540260964e+02 2.8e-07 17.40
20 2.1e-04 8.6e-02 1.4e-02 1.00e+00 2.532886538e+02 2.538372319e+02 1.2e-07 18.25
21 1.9e-04 7.8e-02 1.3e-02 1.00e+00 2.533297254e+02 2.538234601e+02 1.1e-07 19.54
22 1.7e-04 7.1e-02 1.1e-02 1.00e+00 2.533655498e+02 2.538098865e+02 1.0e-07 20.05
23 1.5e-04 6.5e-02 1.0e-02 1.00e+00 2.533978341e+02 2.537977209e+02 9.0e-08 21.22
24 1.4e-04 5.9e-02 9.3e-03 1.00e+00 2.534268639e+02 2.537867483e+02 8.1e-08 21.92
25 1.2e-04 5.4e-02 8.3e-03 1.00e+00 2.534529723e+02 2.537768567e+02 7.3e-08 21.94
26 1.1e-04 4.9e-02 7.5e-03 1.00e+00 2.534764526e+02 2.537679389e+02 6.6e-08 23.79
27 1.0e-04 4.5e-02 6.8e-03 1.00e+00 2.534975715e+02 2.537599012e+02 5.9e-08 25.59
28 9.1e-05 4.1e-02 6.1e-03 1.00e+00 2.535165675e+02 2.537526578e+02 5.3e-08 26.32
29 8.2e-05 3.8e-02 5.5e-03 1.00e+00 2.535336549e+02 2.537461308e+02 4.8e-08 27.69
30 7.4e-05 3.5e-02 4.9e-03 1.00e+00 2.535490262e+02 2.537402502e+02 4.3e-08 29.14
31 6.6e-05 3.2e-02 4.4e-03 1.00e+00 2.535628541e+02 2.537349522e+02 3.9e-08 30.52
32 6.0e-05 3.0e-02 4.0e-03 1.00e+00 2.535752940e+02 2.537301795e+02 3.5e-08 30.90
33 5.4e-05 2.7e-02 3.6e-03 1.00e+00 2.535864855e+02 2.537258803e+02 3.1e-08 31.01
34 4.8e-05 2.5e-02 3.2e-03 1.00e+00 2.535965542e+02 2.537220077e+02 2.8e-08 32.23
35 4.3e-05 2.4e-02 2.9e-03 1.00e+00 2.536056128e+02 2.537185196e+02 2.5e-08 32.81
36 3.9e-05 2.2e-02 2.6e-03 1.00e+00 2.536137629e+02 2.537153779e+02 2.3e-08 33.17
37 3.5e-05 2.1e-02 2.4e-03 1.00e+00 2.536210956e+02 2.537125484e+02 2.1e-08 33.20
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536276932e+02 2.537100000e+02 1.9e-08 33.23
39 2.9e-05 1.8e-02 1.9e-03 1.00e+00 2.536336294e+02 2.537077051e+02 1.7e-08 33.29
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536389705e+02 2.537056383e+02 1.5e-08 34.89
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536437764e+02 2.537037772e+02 1.4e-08 35.48
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536481008e+02 2.537021013e+02 1.2e-08 36.78
43 1.9e-05 1.4e-02 1.3e-03 1.00e+00 2.536519919e+02 2.537005922e+02 1.1e-08 37.36
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536554932e+02 2.536992334e+02 9.9e-09 37.42
45 1.5e-05 1.3e-02 1.0e-03 1.00e+00 2.536586439e+02 2.536980100e+02 8.9e-09 38.05
46 1.4e-05 1.3e-02 9.1e-04 1.00e+00 2.536614790e+02 2.536969086e+02 8.0e-09 39.51
47 1.2e-05 1.2e-02 8.2e-04 1.00e+00 2.536640303e+02 2.536959169e+02 7.2e-09 40.12
48 1.1e-05 1.2e-02 7.4e-04 1.00e+00 2.536663262e+02 2.536950241e+02 6.5e-09 42.00
49 9.9e-06 1.1e-02 6.7e-04 1.00e+00 2.536683922e+02 2.536942204e+02 5.8e-09 43.70
50 9.0e-06 1.1e-02 6.0e-04 1.00e+00 2.536702514e+02 2.536934968e+02 5.2e-09 45.29
51 8.1e-06 1.0e-02 5.4e-04 1.00e+00 2.536719246e+02 2.536928455e+02 4.7e-09 47.20
52 7.3e-06 1.0e-02 4.9e-04 1.00e+00 2.536734303e+02 2.536922591e+02 4.3e-09 48.00
53 6.5e-06 9.9e-03 4.4e-04 1.00e+00 2.536747854e+02 2.536917313e+02 3.8e-09 48.34
54 5.9e-06 9.7e-03 3.9e-04 1.00e+00 2.536760048e+02 2.536912562e+02 3.4e-09 50.11
55 5.3e-06 9.4e-03 3.5e-04 1.00e+00 2.536771022e+02 2.536908285e+02 3.1e-09 51.92
56 4.8e-06 9.2e-03 3.2e-04 1.00e+00 2.536780898e+02 2.536904435e+02 2.8e-09 53.79
57 4.3e-06 9.1e-03 2.9e-04 1.00e+00 2.536789786e+02 2.536900970e+02 2.5e-09 55.18
58 3.9e-06 8.9e-03 2.6e-04 1.00e+00 2.536797785e+02 2.536897850e+02 2.3e-09 55.55
59 3.5e-06 8.8e-03 2.3e-04 1.00e+00 2.536804983e+02 2.536895042e+02 2.0e-09 55.85
60 3.1e-06 8.6e-03 2.1e-04 1.00e+00 2.536811461e+02 2.536892515e+02 1.8e-09 55.89
61 1.2e-06 3.4e-03 8.2e-05 1.00e+00 2.536847023e+02 2.536878624e+02 7.1e-10 55.92
62 1.1e-06 3.0e-03 7.3e-05 1.00e+00 2.536849302e+02 2.536877743e+02 6.4e-10 55.95
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862403e+02 2.536872621e+02 2.3e-10 57.86
64 3.5e-07 9.8e-04 2.4e-05 1.00e+00 2.536863138e+02 2.536872335e+02 2.1e-10 59.84
65 3.2e-07 8.8e-04 2.1e-05 1.00e+00 2.536863799e+02 2.536872076e+02 1.9e-10 60.76
66 2.9e-07 7.9e-04 1.9e-05 1.00e+00 2.536864394e+02 2.536871843e+02 1.7e-10 61.56
67 2.6e-07 7.1e-04 1.7e-05 1.00e+00 2.536864930e+02 2.536871634e+02 1.5e-10 62.12
68 2.3e-07 6.4e-04 1.6e-05 1.00e+00 2.536865412e+02 2.536871445e+02 1.4e-10 62.76
69 2.1e-07 5.8e-04 1.4e-05 1.00e+00 2.536865845e+02 2.536871275e+02 1.2e-10 64.60
70 1.9e-07 5.2e-04 1.3e-05 1.00e+00 2.536866236e+02 2.536871122e+02 1.1e-10 66.30
71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866587e+02 2.536870984e+02 9.9e-11 68.18
72 1.5e-07 4.2e-04 1.0e-05 1.00e+00 2.536866903e+02 2.536870861e+02 8.9e-11 69.65
73 1.4e-07 3.8e-04 9.2e-06 1.00e+00 2.536867188e+02 2.536870749e+02 8.0e-11 69.98
74 1.2e-07 3.4e-04 8.3e-06 1.00e+00 2.536867444e+02 2.536870649e+02 7.2e-11 70.78
75 1.1e-07 3.1e-04 7.4e-06 1.00e+00 2.536867674e+02 2.536870559e+02 6.5e-11 72.73
76 1.0e-07 2.8e-04 6.7e-06 1.00e+00 2.536867882e+02 2.536870477e+02 5.9e-11 72.78
77 9.0e-08 2.5e-04 6.0e-06 1.00e+00 2.536868068e+02 2.536870404e+02 5.3e-11 73.43
78 8.1e-08 2.2e-04 5.4e-06 1.00e+00 2.536868236e+02 2.536870339e+02 4.8e-11 74.96
79 7.3e-08 2.0e-04 4.9e-06 1.00e+00 2.536868388e+02 2.536870279e+02 4.3e-11 76.19
80 6.6e-08 1.8e-04 4.4e-06 9.99e-01 2.536868524e+02 2.536870226e+02 3.9e-11 76.22
81 5.9e-08 1.6e-04 4.0e-06 1.00e+00 2.536868646e+02 2.536870178e+02 3.5e-11 78.20
82 5.3e-08 1.5e-04 3.6e-06 1.00e+00 2.536868757e+02 2.536870134e+02 3.1e-11 78.54
83 4.8e-08 1.3e-04 3.2e-06 1.00e+00 2.536868857e+02 2.536870095e+02 2.8e-11 78.56
84 4.3e-08 1.2e-04 2.9e-06 9.93e-01 2.536868946e+02 2.536870060e+02 2.5e-11 78.61
85 3.9e-08 1.1e-04 2.6e-06 1.00e+00 2.536869027e+02 2.536870028e+02 2.3e-11 79.40
86 3.5e-08 9.6e-05 2.3e-06 1.00e+00 2.536869100e+02 2.536870000e+02 2.1e-11 80.80
87 3.1e-08 8.6e-05 2.1e-06 1.00e+00 2.536869166e+02 2.536869974e+02 1.9e-11 81.34
88 2.8e-08 7.8e-05 1.9e-06 9.99e-01 2.536869224e+02 2.536869951e+02 1.7e-11 82.43
89 2.5e-08 7.0e-05 1.7e-06 1.00e+00 2.536869276e+02 2.536869931e+02 1.5e-11 84.29
90 2.3e-08 6.3e-05 1.5e-06 9.95e-01 2.536869323e+02 2.536869912e+02 1.4e-11 86.31
91 2.1e-08 5.7e-05 1.4e-06 1.00e+00 2.536869366e+02 2.536869896e+02 1.2e-11 87.66
92 1.9e-08 5.1e-05 1.2e-06 1.00e+00 2.536869404e+02 2.536869881e+02 1.1e-11 88.93
93 1.7e-08 4.6e-05 1.1e-06 1.00e+00 2.536869438e+02 2.536869867e+02 9.9e-12 89.72
94 1.5e-08 4.1e-05 1.0e-06 9.93e-01 2.536869469e+02 2.536869855e+02 8.9e-12 91.52
95 1.3e-08 3.7e-05 9.1e-07 1.00e+00 2.536869497e+02 2.536869844e+02 8.0e-12 91.98
96 1.2e-08 3.4e-05 8.1e-07 9.90e-01 2.536869522e+02 2.536869835e+02 7.2e-12 92.03
97 1.1e-08 3.0e-05 7.3e-07 1.00e+00 2.536869544e+02 2.536869826e+02 6.5e-12 92.09
98 9.8e-09 2.7e-05 6.6e-07 9.80e-01 2.536869564e+02 2.536869818e+02 5.8e-12 92.13
Interior-point optimizer terminated. Time: 92.15.
Optimizer terminated. Time: 92.16
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695645e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698181e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 92.2 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 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 : 1.65e+04 after factor : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.282478222e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.0e+04 -9.71e-01 -1.260309133e+05 3.765030466e+00 4.7e-01 1.15
2 4.6e+02 5.9e+02 2.6e+04 -9.35e-01 -1.206226199e+05 9.889101589e+00 2.0e-01 1.21
3 2.9e+02 3.7e+02 1.6e+04 -8.49e-01 -1.154649667e+05 5.287064955e+01 1.3e-01 1.32
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.133003651e+05 1.900915469e+03 1.3e-01 3.03
5 8.2e+01 1.1e+02 4.6e+03 -7.57e-01 -7.788392958e+04 9.190691816e+03 3.6e-02 3.47
6 3.6e+01 4.6e+01 2.0e+03 -2.50e-01 -4.647713314e+04 1.020087225e+04 1.6e-02 3.51
7 1.8e+01 2.4e+01 1.0e+03 2.81e-01 -2.766870139e+04 6.418304642e+03 8.1e-03 4.54
8 9.2e+00 1.2e+01 5.1e+02 6.08e-01 -1.469555397e+04 4.041871914e+03 4.1e-03 5.57
9 5.7e+00 7.3e+00 3.2e+02 8.20e-01 -9.070668457e+03 2.774702773e+03 2.5e-03 6.92
10 2.0e+00 2.5e+00 1.1e+02 9.04e-01 -3.094061885e+03 1.193657190e+03 8.8e-04 8.85
11 1.6e+00 2.1e+00 9.1e+01 9.74e-01 -2.466457355e+03 1.043401206e+03 7.2e-04 10.03
12 9.0e-01 1.3e+00 5.1e+01 9.76e-01 -1.308690283e+03 6.778787460e+02 4.0e-04 11.44
13 4.5e-01 6.9e-01 2.5e+01 9.85e-01 -5.549298803e+02 4.398443244e+02 2.0e-04 13.69
14 2.3e-01 3.6e-01 1.3e+01 9.98e-01 -1.980184076e+02 3.180837959e+02 1.1e-04 14.23
15 1.0e-01 1.7e-01 5.8e+00 1.00e+00 1.009292717e+01 2.372083399e+02 4.7e-05 16.25
16 5.1e-02 1.1e-01 2.9e+00 1.00e+00 9.056222399e+01 2.045814344e+02 2.4e-05 17.00
17 1.0e-02 1.5e-01 6.3e-01 1.00e+00 1.546595148e+02 1.792230598e+02 5.3e-06 17.01
18 6.3e-03 1.1e-01 3.9e-01 1.01e+00 1.614768358e+02 1.765369238e+02 3.2e-06 19.08
19 1.6e-03 1.2e-01 1.0e-01 1.01e+00 1.694450706e+02 1.735001825e+02 8.9e-07 19.33
20 3.3e-04 1.5e-01 2.2e-02 1.01e+00 1.717838482e+02 1.726276254e+02 1.9e-07 20.52
21 1.4e-04 1.1e-01 9.3e-03 9.93e-01 1.721423969e+02 1.725031081e+02 8.2e-08 21.49
22 8.9e-05 8.4e-02 5.9e-03 1.00e+00 1.722365069e+02 1.724653332e+02 5.2e-08 21.51
23 8.0e-05 7.8e-02 5.3e-03 1.00e+00 1.722544583e+02 1.724604742e+02 4.7e-08 21.55
24 7.2e-05 7.1e-02 4.8e-03 1.00e+00 1.722695531e+02 1.724549693e+02 4.2e-08 21.61
25 6.5e-05 6.5e-02 4.3e-03 1.00e+00 1.722831749e+02 1.724500487e+02 3.8e-08 21.65
26 5.8e-05 5.9e-02 3.9e-03 1.00e+00 1.722954056e+02 1.724455907e+02 3.4e-08 23.33
27 5.2e-05 5.4e-02 3.5e-03 1.00e+00 1.723064005e+02 1.724415654e+02 3.1e-08 24.43
28 4.7e-05 4.9e-02 3.2e-03 1.00e+00 1.723162809e+02 1.724379276e+02 2.8e-08 26.30
29 4.2e-05 4.5e-02 2.8e-03 1.00e+00 1.723251597e+02 1.724346402e+02 2.5e-08 28.22
30 3.8e-05 4.2e-02 2.6e-03 1.00e+00 1.723331385e+02 1.724316696e+02 2.2e-08 28.30
31 3.4e-05 3.8e-02 2.3e-03 1.00e+00 1.723403088e+02 1.724289856e+02 2.0e-08 28.40
32 3.1e-05 3.5e-02 2.1e-03 1.00e+00 1.723467531e+02 1.724265612e+02 1.8e-08 30.06
33 2.8e-05 3.3e-02 1.9e-03 1.00e+00 1.723525456e+02 1.724243720e+02 1.6e-08 30.39
34 2.5e-05 3.0e-02 1.7e-03 1.00e+00 1.723577527e+02 1.724223958e+02 1.5e-08 31.07
35 2.3e-05 2.8e-02 1.5e-03 1.00e+00 1.723624341e+02 1.724206124e+02 1.3e-08 32.74
36 2.0e-05 2.6e-02 1.4e-03 1.00e+00 1.723666434e+02 1.724190034e+02 1.2e-08 32.79
37 1.8e-05 2.4e-02 1.2e-03 1.00e+00 1.723704284e+02 1.724175520e+02 1.1e-08 32.84
38 1.6e-05 2.2e-02 1.1e-03 1.00e+00 1.723738321e+02 1.724162431e+02 9.7e-09 34.03
39 1.5e-05 2.1e-02 9.9e-04 1.00e+00 1.723768931e+02 1.724150629e+02 8.7e-09 35.03
40 1.3e-05 2.0e-02 8.9e-04 1.00e+00 1.723796461e+02 1.724139988e+02 7.8e-09 35.05
41 1.2e-05 1.9e-02 8.0e-04 1.00e+00 1.723821222e+02 1.724130395e+02 7.0e-09 35.09
42 1.1e-05 1.7e-02 7.2e-04 1.00e+00 1.723843493e+02 1.724121749e+02 6.3e-09 36.80
43 9.7e-06 1.6e-02 6.5e-04 1.00e+00 1.723863527e+02 1.724113956e+02 5.7e-09 37.28
44 8.7e-06 1.6e-02 5.8e-04 1.00e+00 1.723881547e+02 1.724106934e+02 5.1e-09 37.31
45 7.9e-06 1.5e-02 5.3e-04 1.00e+00 1.723897757e+02 1.724100606e+02 4.6e-09 37.37
46 7.1e-06 1.4e-02 4.7e-04 1.00e+00 1.723912340e+02 1.724094904e+02 4.2e-09 39.05
47 6.4e-06 1.3e-02 4.3e-04 1.00e+00 1.723925459e+02 1.724089767e+02 3.7e-09 39.62
48 5.7e-06 1.3e-02 3.8e-04 1.00e+00 1.723937261e+02 1.724085139e+02 3.4e-09 39.65
49 5.2e-06 1.2e-02 3.5e-04 1.00e+00 1.723947880e+02 1.724080970e+02 3.0e-09 40.73
50 4.6e-06 1.2e-02 3.1e-04 1.00e+00 1.723957433e+02 1.724077215e+02 2.7e-09 41.77
51 4.2e-06 1.1e-02 2.8e-04 1.00e+00 1.723966028e+02 1.724073832e+02 2.5e-09 41.84
52 3.8e-06 1.1e-02 2.5e-04 1.00e+00 1.723973762e+02 1.724070785e+02 2.2e-09 43.55
53 3.4e-06 1.1e-02 2.3e-04 1.00e+00 1.723980720e+02 1.724068042e+02 2.0e-09 44.11
54 3.0e-06 1.0e-02 2.0e-04 1.00e+00 1.723986981e+02 1.724065571e+02 1.8e-09 44.16
55 2.7e-06 1.0e-02 1.8e-04 1.00e+00 1.723992614e+02 1.724063345e+02 1.6e-09 45.19
56 2.5e-06 9.8e-03 1.7e-04 1.00e+00 1.723997683e+02 1.724061342e+02 1.4e-09 46.32
57 2.2e-06 9.6e-03 1.5e-04 1.00e+00 1.724002244e+02 1.724059537e+02 1.3e-09 46.36
58 2.0e-06 9.4e-03 1.3e-04 1.00e+00 1.724006348e+02 1.724057912e+02 1.2e-09 46.42
59 1.8e-06 9.2e-03 1.2e-04 1.00e+00 1.724010041e+02 1.724056449e+02 1.1e-09 47.11
60 1.6e-06 9.0e-03 1.1e-04 1.00e+00 1.724013364e+02 1.724055132e+02 9.5e-10 48.53
61 1.5e-06 8.9e-03 9.8e-05 1.00e+00 1.724016355e+02 1.724053945e+02 8.6e-10 48.57
62 1.3e-06 8.7e-03 8.8e-05 1.00e+00 1.724019045e+02 1.724052877e+02 7.7e-10 48.59
63 1.2e-06 8.6e-03 7.9e-05 1.00e+00 1.724021467e+02 1.724051916e+02 6.9e-10 48.67
64 1.1e-06 8.5e-03 7.1e-05 1.00e+00 1.724023646e+02 1.724051050e+02 6.2e-10 48.69
65 9.6e-07 8.4e-03 6.4e-05 1.00e+00 1.724025606e+02 1.724050270e+02 5.6e-10 50.73
66 8.6e-07 8.3e-03 5.8e-05 1.00e+00 1.724027371e+02 1.724049568e+02 5.1e-10 50.80
67 7.7e-07 8.2e-03 5.2e-05 1.00e+00 1.724028958e+02 1.724048936e+02 4.5e-10 50.84
68 7.0e-07 8.2e-03 4.7e-05 1.00e+00 1.724030387e+02 1.724048367e+02 4.1e-10 50.93
69 6.3e-07 8.1e-03 4.2e-05 1.00e+00 1.724031673e+02 1.724047855e+02 3.7e-10 50.95
70 5.6e-07 8.0e-03 3.8e-05 1.00e+00 1.724032830e+02 1.724047394e+02 3.3e-10 51.80
71 5.1e-07 8.0e-03 3.4e-05 1.00e+00 1.724033871e+02 1.724046979e+02 3.0e-10 52.75
72 4.6e-07 7.9e-03 3.1e-05 1.00e+00 1.724034808e+02 1.724046605e+02 2.7e-10 53.04
73 4.1e-07 7.9e-03 2.8e-05 1.00e+00 1.724035651e+02 1.724046268e+02 2.4e-10 53.08
74 3.7e-07 7.8e-03 2.5e-05 1.00e+00 1.724036410e+02 1.724045965e+02 2.2e-10 53.12
75 3.3e-07 7.8e-03 2.2e-05 1.00e+00 1.724037092e+02 1.724045693e+02 2.0e-10 54.82
76 3.0e-07 7.7e-03 2.0e-05 1.00e+00 1.724037707e+02 1.724045447e+02 1.8e-10 55.33
77 2.7e-07 7.7e-03 1.8e-05 1.00e+00 1.724038260e+02 1.724045226e+02 1.6e-10 55.38
78 2.4e-07 7.7e-03 1.6e-05 1.00e+00 1.724038757e+02 1.724045027e+02 1.4e-10 55.43
79 2.2e-07 7.6e-03 1.5e-05 1.00e+00 1.724039205e+02 1.724044848e+02 1.3e-10 55.47
80 2.0e-07 7.6e-03 1.3e-05 1.00e+00 1.724039608e+02 1.724044686e+02 1.2e-10 55.50
81 1.8e-07 7.6e-03 1.2e-05 1.00e+00 1.724039970e+02 1.724044541e+02 1.0e-10 57.46
82 1.6e-07 7.6e-03 1.1e-05 1.00e+00 1.724040297e+02 1.724044410e+02 9.4e-11 57.58
83 1.4e-07 7.5e-03 9.6e-06 1.00e+00 1.724040590e+02 1.724044293e+02 8.4e-11 59.28
84 1.3e-07 7.5e-03 8.6e-06 1.00e+00 1.724040854e+02 1.724044187e+02 7.6e-11 61.16
85 1.2e-07 7.5e-03 7.8e-06 1.00e+00 1.724041092e+02 1.724044091e+02 6.8e-11 62.07
86 1.0e-07 7.5e-03 7.0e-06 1.00e+00 1.724041306e+02 1.724044005e+02 6.1e-11 64.03
87 9.4e-08 7.4e-03 6.3e-06 9.99e-01 1.724041499e+02 1.724043928e+02 5.5e-11 64.32
88 8.5e-08 7.4e-03 5.7e-06 1.00e+00 1.724041672e+02 1.724043858e+02 5.0e-11 66.01
89 7.6e-08 7.4e-03 5.1e-06 1.00e+00 1.724041828e+02 1.724043796e+02 4.5e-11 68.13
90 6.9e-08 7.4e-03 4.6e-06 1.00e+00 1.724041968e+02 1.724043739e+02 4.0e-11 69.60
91 6.2e-08 7.4e-03 4.1e-06 1.00e+00 1.724042095e+02 1.724043688e+02 3.6e-11 70.49
92 5.6e-08 7.4e-03 3.7e-06 9.99e-01 1.724042208e+02 1.724043643e+02 3.3e-11 71.35
93 5.0e-08 7.4e-03 3.3e-06 1.00e+00 1.724042310e+02 1.724043601e+02 2.9e-11 72.55
94 4.5e-08 7.3e-03 3.0e-06 9.97e-01 1.724042402e+02 1.724043564e+02 2.6e-11 73.56
95 4.1e-08 7.3e-03 2.7e-06 9.98e-01 1.724042485e+02 1.724043531e+02 2.4e-11 74.68
96 3.6e-08 7.3e-03 2.4e-06 1.00e+00 1.724042560e+02 1.724043501e+02 2.1e-11 75.72
97 3.3e-08 7.3e-03 2.2e-06 9.99e-01 1.724042627e+02 1.724043474e+02 1.9e-11 77.42
98 3.0e-08 7.3e-03 2.0e-06 1.00e+00 1.724042687e+02 1.724043450e+02 1.7e-11 78.17
99 2.7e-08 7.3e-03 1.8e-06 1.00e+00 1.724042742e+02 1.724043428e+02 1.6e-11 79.03
100 2.4e-08 7.3e-03 1.6e-06 1.00e+00 1.724042791e+02 1.724043408e+02 1.4e-11 80.45
101 2.2e-08 7.3e-03 1.4e-06 1.00e+00 1.724042835e+02 1.724043390e+02 1.3e-11 81.89
102 1.9e-08 7.3e-03 1.3e-06 1.00e+00 1.724042874e+02 1.724043374e+02 1.1e-11 82.64
103 1.7e-08 6.5e-03 1.2e-06 1.00e+00 1.724042910e+02 1.724043360e+02 1.0e-11 82.67
104 1.6e-08 5.9e-03 1.1e-06 1.00e+00 1.724042942e+02 1.724043347e+02 9.2e-12 83.55
105 1.4e-08 5.3e-03 9.5e-07 1.00e+00 1.724042971e+02 1.724043335e+02 8.3e-12 84.57
106 3.5e-09 1.3e-03 2.4e-07 1.00e+00 1.724043165e+02 1.724043256e+02 2.1e-12 84.92
107 3.2e-09 1.2e-03 2.1e-07 9.97e-01 1.724043172e+02 1.724043253e+02 1.9e-12 86.66
108 7.0e-10 2.6e-04 4.6e-08 1.00e+00 1.724043217e+02 1.724043235e+02 4.1e-13 87.12
Interior-point optimizer terminated. Time: 87.12.
Optimizer terminated. Time: 87.13
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240432173e+02 Viol. con: 1e-08 var: 0e+00
Dual. obj: 1.7240432351e+02 Viol. con: 0e+00 var: 2e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 87.1 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 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 : 1.65e+04 after factor : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.285051268e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.263516769e+05 3.622987557e+00 4.8e-01 1.87
2 4.4e+02 5.6e+02 2.4e+04 -9.36e-01 -1.203749035e+05 1.006399242e+01 1.9e-01 1.98
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.156664674e+05 6.036391468e+01 1.3e-01 2.03
4 2.9e+02 3.7e+02 1.6e+04 -7.62e-01 -1.131640658e+05 2.177939358e+03 1.3e-01 2.08
5 8.0e+01 1.0e+02 4.5e+03 -7.55e-01 -7.692505546e+04 9.482544107e+03 3.5e-02 3.38
6 4.0e+01 5.1e+01 2.2e+03 -2.30e-01 -5.033254117e+04 1.013241901e+04 1.8e-02 4.45
7 3.0e+01 3.9e+01 1.7e+03 2.22e-01 -4.131699564e+04 8.369855313e+03 1.3e-02 5.36
8 1.8e+01 2.3e+01 1.0e+03 3.84e-01 -2.789882703e+04 5.363497277e+03 8.0e-03 6.25
9 7.8e+00 1.0e+01 4.3e+02 6.13e-01 -1.276861984e+04 3.127656937e+03 3.4e-03 6.45
10 4.0e+00 5.2e+00 2.2e+02 8.50e-01 -6.365155452e+03 2.113270001e+03 1.8e-03 7.38
11 2.3e+00 2.9e+00 1.3e+02 9.42e-01 -3.529556770e+03 1.328167280e+03 1.0e-03 8.21
12 9.6e-01 1.2e+00 5.4e+01 9.75e-01 -1.403511578e+03 6.746283083e+02 4.3e-04 8.73
13 7.9e-01 1.0e+00 4.5e+01 9.75e-01 -1.156768387e+03 5.907339101e+02 3.5e-04 8.85
14 7.4e-01 9.7e-01 4.2e+01 9.79e-01 -1.057471268e+03 5.717600256e+02 3.3e-04 9.38
15 2.6e-01 3.8e-01 1.5e+01 9.81e-01 -2.737786808e+02 3.081500633e+02 1.2e-04 9.68
16 1.5e-01 3.5e-01 8.3e+00 1.01e+00 -8.642075770e+01 2.392252469e+02 6.7e-05 10.23
17 8.3e-02 2.1e-01 4.8e+00 1.01e+00 1.791706084e+01 2.035090988e+02 3.8e-05 10.87
18 8.2e-02 2.1e-01 4.7e+00 1.02e+00 1.974552681e+01 2.036481965e+02 3.8e-05 10.96
19 6.8e-02 1.8e-01 3.9e+00 1.01e+00 5.098868597e+01 2.030408389e+02 3.2e-05 11.03
20 2.0e-02 1.0e-01 1.2e+00 1.01e+00 1.311391815e+02 1.772958279e+02 9.6e-06 11.08
21 6.2e-03 1.8e-01 3.7e-01 1.02e+00 1.567389704e+02 1.709888073e+02 3.0e-06 11.54
22 5.8e-03 1.7e-01 3.5e-01 9.83e-01 1.572781933e+02 1.705714447e+02 2.8e-06 11.85
23 4.3e-03 1.3e-01 2.6e-01 9.58e-01 1.597735114e+02 1.696670358e+02 2.1e-06 12.50
24 2.0e-03 7.8e-02 1.2e-01 9.73e-01 1.636473068e+02 1.683047568e+02 9.8e-07 13.32
25 1.2e-03 6.0e-02 7.4e-02 1.00e+00 1.650413634e+02 1.678696595e+02 6.0e-07 14.31
26 4.9e-04 8.1e-02 3.0e-02 1.01e+00 1.662737445e+02 1.674315932e+02 2.5e-07 15.06
27 2.2e-04 8.3e-02 1.4e-02 1.01e+00 1.667346220e+02 1.672491277e+02 1.1e-07 15.50
28 2.0e-04 7.6e-02 1.2e-02 1.01e+00 1.667749288e+02 1.672380181e+02 1.0e-07 15.56
29 1.8e-04 6.9e-02 1.1e-02 1.01e+00 1.668078172e+02 1.672244418e+02 9.0e-08 16.65
30 1.6e-04 6.3e-02 9.9e-03 1.01e+00 1.668374820e+02 1.672123263e+02 8.1e-08 17.57
31 1.4e-04 5.7e-02 8.9e-03 1.01e+00 1.668639855e+02 1.672012443e+02 7.3e-08 17.80
32 1.3e-04 5.2e-02 8.0e-03 1.01e+00 1.668877440e+02 1.671911920e+02 6.5e-08 17.83
33 1.2e-04 4.8e-02 7.2e-03 1.01e+00 1.669090380e+02 1.671820704e+02 5.9e-08 17.85
34 1.0e-04 4.4e-02 6.5e-03 1.01e+00 1.669281298e+02 1.671738001e+02 5.3e-08 17.90
35 9.3e-05 4.0e-02 5.8e-03 1.01e+00 1.669452503e+02 1.671663050e+02 4.8e-08 19.23
36 8.4e-05 3.7e-02 5.2e-03 1.01e+00 1.669606066e+02 1.671595158e+02 4.3e-08 20.02
37 7.6e-05 3.4e-02 4.7e-03 1.01e+00 1.669743832e+02 1.671533685e+02 3.9e-08 22.14
38 6.8e-05 3.1e-02 4.3e-03 1.01e+00 1.669867448e+02 1.671478045e+02 3.5e-08 23.93
39 6.1e-05 2.9e-02 3.8e-03 1.00e+00 1.669978386e+02 1.671427703e+02 3.1e-08 24.55
40 5.5e-05 2.7e-02 3.4e-03 1.00e+00 1.670077961e+02 1.671382167e+02 2.8e-08 26.48
41 5.0e-05 2.5e-02 3.1e-03 1.00e+00 1.670167351e+02 1.671340989e+02 2.5e-08 27.98
42 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.670247608e+02 1.671303762e+02 2.3e-08 29.90
43 4.0e-05 2.2e-02 2.5e-03 1.00e+00 1.670319673e+02 1.671270115e+02 2.1e-08 31.17
44 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.670384392e+02 1.671239711e+02 1.8e-08 33.19
45 3.3e-05 1.9e-02 2.0e-03 1.00e+00 1.670442519e+02 1.671212243e+02 1.7e-08 33.67
46 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.670494732e+02 1.671187432e+02 1.5e-08 35.61
47 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.670541637e+02 1.671165026e+02 1.3e-08 36.98
48 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.670583779e+02 1.671144795e+02 1.2e-08 38.86
49 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.670621644e+02 1.671126532e+02 1.1e-08 40.60
50 1.9e-05 1.5e-02 1.2e-03 1.00e+00 1.670655670e+02 1.671110047e+02 9.8e-09 42.19
51 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.670686249e+02 1.671095171e+02 8.9e-09 43.39
52 1.6e-05 1.3e-02 9.7e-04 1.00e+00 1.670713732e+02 1.671081748e+02 8.0e-09 44.86
53 1.4e-05 1.3e-02 8.8e-04 1.00e+00 1.670738435e+02 1.671069639e+02 7.2e-09 45.01
54 1.3e-05 1.2e-02 7.9e-04 1.00e+00 1.670760640e+02 1.671058715e+02 6.5e-09 45.05
55 1.1e-05 1.2e-02 7.1e-04 1.00e+00 1.670780603e+02 1.671048863e+02 5.8e-09 45.09
56 1.0e-05 1.1e-02 6.4e-04 1.00e+00 1.670798550e+02 1.671039979e+02 5.2e-09 46.21
57 9.2e-06 1.1e-02 5.7e-04 1.00e+00 1.670814687e+02 1.671031968e+02 4.7e-09 47.23
58 8.3e-06 1.1e-02 5.2e-04 1.00e+00 1.670829197e+02 1.671024747e+02 4.2e-09 47.29
59 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.670842245e+02 1.671018237e+02 3.8e-09 47.35
60 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.670853979e+02 1.671012370e+02 3.4e-09 47.37
61 6.0e-06 1.0e-02 3.8e-04 1.00e+00 1.670864532e+02 1.671007083e+02 3.1e-09 48.97
62 5.4e-06 9.9e-03 3.4e-04 1.00e+00 1.670874024e+02 1.671002318e+02 2.8e-09 49.50
63 2.1e-06 3.8e-03 1.3e-04 1.00e+00 1.670926608e+02 1.670975624e+02 1.1e-09 49.61
64 8.3e-07 1.5e-03 5.2e-05 1.00e+00 1.670945998e+02 1.670965764e+02 4.3e-10 50.98
65 7.5e-07 1.4e-03 4.7e-05 1.00e+00 1.670947344e+02 1.670965133e+02 3.9e-10 51.76
66 4.5e-07 8.2e-04 2.8e-05 1.00e+00 1.670952003e+02 1.670962712e+02 2.3e-10 51.79
67 4.1e-07 7.4e-04 2.6e-05 1.00e+00 1.670952719e+02 1.670962357e+02 2.1e-10 51.84
68 3.7e-07 6.6e-04 2.3e-05 1.00e+00 1.670953354e+02 1.670962028e+02 1.9e-10 53.61
69 3.3e-07 6.0e-04 2.1e-05 1.00e+00 1.670953926e+02 1.670961732e+02 1.7e-10 53.99
70 3.0e-07 5.4e-04 1.9e-05 1.00e+00 1.670954440e+02 1.670961466e+02 1.5e-10 54.08
71 2.7e-07 4.8e-04 1.7e-05 1.00e+00 1.670954902e+02 1.670961225e+02 1.4e-10 54.14
72 2.4e-07 4.4e-04 1.5e-05 9.99e-01 1.670955318e+02 1.670961009e+02 1.2e-10 55.67
73 2.2e-07 3.9e-04 1.4e-05 9.99e-01 1.670955692e+02 1.670960814e+02 1.1e-10 56.30
74 1.9e-07 3.5e-04 1.2e-05 9.96e-01 1.670956028e+02 1.670960640e+02 1.0e-10 56.33
75 1.7e-07 3.2e-04 1.1e-05 9.99e-01 1.670956331e+02 1.670960482e+02 9.0e-11 56.38
76 1.6e-07 2.9e-04 9.9e-06 1.00e+00 1.670956604e+02 1.670960339e+02 8.1e-11 57.97
77 1.4e-07 2.6e-04 8.9e-06 9.97e-01 1.670956849e+02 1.670960211e+02 7.3e-11 58.50
78 1.3e-07 2.3e-04 8.0e-06 1.00e+00 1.670957071e+02 1.670960095e+02 6.6e-11 58.55
79 1.1e-07 2.1e-04 7.2e-06 1.00e+00 1.670957270e+02 1.670959991e+02 5.9e-11 58.60
80 1.0e-07 1.9e-04 6.5e-06 1.00e+00 1.670957449e+02 1.670959897e+02 5.3e-11 58.66
81 9.3e-08 1.7e-04 5.8e-06 1.00e+00 1.670957610e+02 1.670959813e+02 4.8e-11 59.72
82 8.4e-08 1.5e-04 5.3e-06 9.98e-01 1.670957755e+02 1.670959737e+02 4.3e-11 60.80
83 7.5e-08 1.4e-04 4.7e-06 1.02e+00 1.670957894e+02 1.670959664e+02 3.9e-11 60.85
84 6.8e-08 1.2e-04 4.3e-06 1.01e+00 1.670958012e+02 1.670959602e+02 3.5e-11 60.92
85 6.1e-08 1.1e-04 3.8e-06 9.90e-01 1.670958116e+02 1.670959548e+02 3.2e-11 62.29
86 5.5e-08 1.0e-04 3.4e-06 9.89e-01 1.670958210e+02 1.670959499e+02 2.8e-11 64.04
87 4.9e-08 9.0e-05 3.1e-06 9.86e-01 1.670958294e+02 1.670959456e+02 2.6e-11 65.19
88 4.4e-08 8.1e-05 2.8e-06 9.93e-01 1.670958371e+02 1.670959416e+02 2.3e-11 65.44
89 4.0e-08 7.3e-05 2.5e-06 1.03e+00 1.670958448e+02 1.670959375e+02 2.1e-11 66.49
90 3.6e-08 6.5e-05 2.3e-06 9.90e-01 1.670958509e+02 1.670959343e+02 1.9e-11 68.38
91 3.2e-08 5.9e-05 2.0e-06 1.02e+00 1.670958568e+02 1.670959312e+02 1.7e-11 69.48
92 2.9e-08 5.3e-05 1.8e-06 9.96e-01 1.670958617e+02 1.670959286e+02 1.5e-11 70.13
93 2.6e-08 4.8e-05 1.6e-06 1.00e+00 1.670958661e+02 1.670959263e+02 1.4e-11 70.51
94 2.4e-08 4.3e-05 1.5e-06 1.01e+00 1.670958701e+02 1.670959242e+02 1.3e-11 71.28
95 2.1e-08 3.9e-05 1.3e-06 9.82e-01 1.670958737e+02 1.670959224e+02 1.1e-11 72.15
96 1.9e-08 3.5e-05 1.2e-06 9.65e-01 1.670958769e+02 1.670959208e+02 1.0e-11 72.20
97 1.7e-08 3.1e-05 1.1e-06 1.11e+00 1.670958811e+02 1.670959183e+02 9.7e-12 74.05
98 1.6e-08 2.8e-05 9.7e-07 1.01e+00 1.670958837e+02 1.670959170e+02 8.7e-12 75.81
Interior-point optimizer terminated. Time: 75.81.
Optimizer terminated. Time: 75.82
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709588371e+02 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6709591700e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 75.8 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.65e+04 after factor : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.282340837e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260941565e+05 3.573266804e+00 4.8e-01 2.34
2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.200565676e+05 1.003090850e+01 1.9e-01 4.24
3 2.9e+02 3.7e+02 1.6e+04 -8.42e-01 -1.153564033e+05 6.135566300e+01 1.3e-01 5.92
4 2.9e+02 3.7e+02 1.6e+04 -7.61e-01 -1.127106648e+05 2.301022166e+03 1.3e-01 6.28
5 7.4e+01 9.5e+01 4.1e+03 -7.54e-01 -7.385923177e+04 1.001974663e+04 3.3e-02 8.42
6 3.6e+01 4.7e+01 2.0e+03 -1.86e-01 -4.686869429e+04 1.035872209e+04 1.6e-02 10.50
7 2.2e+01 2.8e+01 1.2e+03 2.80e-01 -3.229429002e+04 7.125793212e+03 9.7e-03 12.25
8 1.3e+01 1.7e+01 7.4e+02 5.41e-01 -2.102020635e+04 4.794219194e+03 5.9e-03 13.19
9 5.2e+00 6.7e+00 2.9e+02 7.27e-01 -8.482356562e+03 2.381468538e+03 2.3e-03 14.73
10 2.4e+00 3.0e+00 1.3e+02 9.16e-01 -3.662355713e+03 1.406281988e+03 1.1e-03 16.49
11 1.7e+00 2.2e+00 9.5e+01 9.76e-01 -2.587827880e+03 1.057499255e+03 7.6e-04 18.30
12 8.3e-01 1.1e+00 4.7e+01 9.83e-01 -1.195679515e+03 6.123671139e+02 3.7e-04 19.79
13 7.6e-01 1.1e+00 4.2e+01 9.50e-01 -1.098084994e+03 5.684107942e+02 3.4e-04 21.41
14 6.1e-01 8.7e-01 3.4e+01 9.86e-01 -8.367313450e+02 5.040851337e+02 2.7e-04 22.16
15 1.8e-01 2.8e-01 1.0e+01 9.89e-01 -1.535781853e+02 2.533282299e+02 8.4e-05 22.22
16 1.0e-01 1.8e-01 5.9e+00 1.01e+00 -2.006083931e+01 2.117117729e+02 4.8e-05 22.28
17 1.0e-01 1.8e-01 5.9e+00 1.02e+00 -1.844836107e+01 2.119465412e+02 4.8e-05 22.50
18 8.8e-02 1.6e-01 5.1e+00 1.02e+00 1.413389386e+01 2.123038590e+02 4.1e-05 23.38
19 3.5e-02 9.7e-02 2.0e+00 1.01e+00 1.053784870e+02 1.837340706e+02 1.6e-05 24.42
20 1.0e-02 1.7e-01 6.0e-01 1.01e+00 1.496759985e+02 1.726889674e+02 4.8e-06 24.44
21 3.1e-03 1.8e-01 1.9e-01 1.01e+00 1.612162671e+02 1.684506715e+02 1.5e-06 24.51
22 1.2e-03 1.2e-01 7.5e-02 1.01e+00 1.645522862e+02 1.674150493e+02 6.2e-07 26.00
23 6.1e-04 8.4e-02 3.8e-02 1.00e+00 1.656029486e+02 1.670405603e+02 3.1e-07 26.64
24 2.4e-04 8.6e-02 1.5e-02 1.01e+00 1.662299182e+02 1.668057350e+02 1.3e-07 26.69
25 2.2e-04 7.9e-02 1.4e-02 1.01e+00 1.662753227e+02 1.667934015e+02 1.1e-07 28.15
26 2.0e-04 7.2e-02 1.2e-02 1.01e+00 1.663120734e+02 1.667782105e+02 1.0e-07 28.75
27 1.8e-04 6.6e-02 1.1e-02 1.01e+00 1.663452983e+02 1.667647113e+02 9.2e-08 29.02
28 1.6e-04 6.0e-02 1.0e-02 1.01e+00 1.663750770e+02 1.667524593e+02 8.3e-08 30.67
29 1.4e-04 5.5e-02 9.0e-03 1.01e+00 1.664018173e+02 1.667413885e+02 7.4e-08 33.24
30 1.3e-04 5.0e-02 8.1e-03 1.01e+00 1.664258232e+02 1.667313783e+02 6.7e-08 33.43
31 1.2e-04 4.6e-02 7.3e-03 1.01e+00 1.664473771e+02 1.667223291e+02 6.0e-08 33.48
32 1.0e-04 4.2e-02 6.5e-03 1.00e+00 1.664667304e+02 1.667141489e+02 5.4e-08 33.54
33 9.4e-05 3.9e-02 5.9e-03 1.00e+00 1.664841088e+02 1.667067547e+02 4.9e-08 35.41
34 8.4e-05 3.6e-02 5.3e-03 1.00e+00 1.664997145e+02 1.667000714e+02 4.4e-08 35.71
35 7.6e-05 3.3e-02 4.8e-03 1.00e+00 1.665137291e+02 1.666940307e+02 4.0e-08 35.75
36 6.8e-05 3.0e-02 4.3e-03 1.00e+00 1.665263154e+02 1.666885712e+02 3.6e-08 37.37
37 6.1e-05 2.8e-02 3.9e-03 1.00e+00 1.665376193e+02 1.666836372e+02 3.2e-08 38.81
38 5.5e-05 2.6e-02 3.5e-03 1.00e+00 1.665477720e+02 1.666791783e+02 2.9e-08 40.21
39 5.0e-05 2.4e-02 3.1e-03 1.00e+00 1.665568911e+02 1.666751492e+02 2.6e-08 40.24
40 4.5e-05 2.3e-02 2.8e-03 1.00e+00 1.665650823e+02 1.666715086e+02 2.3e-08 40.30
41 4.0e-05 2.1e-02 2.5e-03 1.00e+00 1.665724404e+02 1.666682193e+02 2.1e-08 42.24
42 3.6e-05 2.0e-02 2.3e-03 1.00e+00 1.665790504e+02 1.666652478e+02 1.9e-08 42.47
43 3.3e-05 1.9e-02 2.1e-03 1.00e+00 1.665849888e+02 1.666625636e+02 1.7e-08 42.51
44 2.9e-05 1.8e-02 1.9e-03 1.00e+00 1.665903241e+02 1.666601393e+02 1.5e-08 42.54
45 2.6e-05 1.7e-02 1.7e-03 1.00e+00 1.665951177e+02 1.666579498e+02 1.4e-08 43.32
46 2.4e-05 1.6e-02 1.5e-03 1.00e+00 1.665994251e+02 1.666559727e+02 1.2e-08 44.81
47 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.666032956e+02 1.666541875e+02 1.1e-08 45.95
48 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.666067739e+02 1.666525760e+02 1.0e-08 47.07
49 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.666098998e+02 1.666511212e+02 9.1e-09 48.58
50 1.6e-05 1.3e-02 9.8e-04 1.00e+00 1.666127094e+02 1.666498083e+02 8.2e-09 49.98
51 1.4e-05 1.3e-02 8.9e-04 1.00e+00 1.666152346e+02 1.666486234e+02 7.4e-09 51.57
52 1.3e-05 1.2e-02 8.0e-04 1.00e+00 1.666175045e+02 1.666475543e+02 6.6e-09 53.52
53 1.1e-05 1.2e-02 7.2e-04 1.00e+00 1.666195450e+02 1.666465898e+02 6.0e-09 55.17
54 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.666213794e+02 1.666457196e+02 5.4e-09 56.09
55 9.2e-06 1.1e-02 5.8e-04 1.00e+00 1.666230285e+02 1.666449347e+02 4.8e-09 56.99
56 8.3e-06 1.1e-02 5.2e-04 1.00e+00 1.666245112e+02 1.666442268e+02 4.3e-09 58.39
57 7.5e-06 1.1e-02 4.7e-04 1.00e+00 1.666258442e+02 1.666435884e+02 3.9e-09 59.44
58 6.7e-06 1.0e-02 4.2e-04 1.00e+00 1.666270429e+02 1.666430127e+02 3.5e-09 60.60
59 6.0e-06 1.0e-02 3.8e-04 1.00e+00 1.666281207e+02 1.666424936e+02 3.2e-09 60.64
60 5.4e-06 9.9e-03 3.4e-04 1.00e+00 1.666290899e+02 1.666420256e+02 2.9e-09 60.64
61 4.9e-06 9.7e-03 3.1e-04 1.00e+00 1.666299614e+02 1.666416036e+02 2.6e-09 61.55
62 4.4e-06 9.5e-03 2.8e-04 1.00e+00 1.666307450e+02 1.666412231e+02 2.3e-09 62.89
63 4.0e-06 9.4e-03 2.5e-04 1.00e+00 1.666314497e+02 1.666408800e+02 2.1e-09 64.07
64 3.6e-06 9.3e-03 2.3e-04 1.00e+00 1.666320834e+02 1.666405707e+02 1.9e-09 65.05
65 3.2e-06 9.2e-03 2.0e-04 1.00e+00 1.666326532e+02 1.666402919e+02 1.7e-09 65.09
66 2.9e-06 9.1e-03 1.8e-04 1.00e+00 1.666331656e+02 1.666400404e+02 1.5e-09 65.18
67 2.6e-06 9.0e-03 1.6e-04 1.00e+00 1.666336263e+02 1.666398137e+02 1.4e-09 66.61
68 2.3e-06 8.9e-03 1.5e-04 1.00e+00 1.666340407e+02 1.666396094e+02 1.2e-09 67.32
69 2.1e-06 8.8e-03 1.3e-04 1.00e+00 1.666344134e+02 1.666394253e+02 1.1e-09 67.37
70 1.9e-06 8.7e-03 1.2e-04 1.00e+00 1.666347486e+02 1.666392594e+02 1.0e-09 67.38
71 1.7e-06 8.6e-03 1.1e-04 1.00e+00 1.666350501e+02 1.666391099e+02 9.0e-10 67.46
72 1.5e-06 8.6e-03 9.7e-05 1.00e+00 1.666353214e+02 1.666389751e+02 8.1e-10 68.78
73 1.4e-06 8.5e-03 8.7e-05 1.00e+00 1.666355653e+02 1.666388537e+02 7.3e-10 69.59
74 1.2e-06 8.5e-03 7.9e-05 1.00e+00 1.666357847e+02 1.666387443e+02 6.5e-10 69.63
75 1.1e-06 8.4e-03 7.1e-05 1.00e+00 1.666359821e+02 1.666386457e+02 5.9e-10 69.67
76 1.0e-06 8.4e-03 6.4e-05 1.00e+00 1.666361596e+02 1.666385569e+02 5.3e-10 69.71
77 9.1e-07 8.3e-03 5.7e-05 1.00e+00 1.666363192e+02 1.666384768e+02 4.8e-10 70.80
78 8.2e-07 8.3e-03 5.2e-05 1.00e+00 1.666364628e+02 1.666384046e+02 4.3e-10 71.76
79 7.3e-07 8.3e-03 4.6e-05 1.00e+00 1.666365919e+02 1.666383396e+02 3.9e-10 71.82
80 6.6e-07 8.2e-03 4.2e-05 1.00e+00 1.666367080e+02 1.666382809e+02 3.5e-10 71.88
81 6.0e-07 8.2e-03 3.8e-05 1.00e+00 1.666368124e+02 1.666382281e+02 3.1e-10 71.95
82 5.4e-07 8.2e-03 3.4e-05 1.00e+00 1.666369063e+02 1.666381804e+02 2.8e-10 72.00
83 4.8e-07 8.1e-03 3.0e-05 1.00e+00 1.666369908e+02 1.666381374e+02 2.5e-10 73.16
84 4.3e-07 8.1e-03 2.7e-05 1.00e+00 1.666370667e+02 1.666380987e+02 2.3e-10 74.53
85 3.9e-07 8.1e-03 2.5e-05 1.00e+00 1.666371350e+02 1.666380637e+02 2.0e-10 76.10
86 3.5e-07 8.1e-03 2.2e-05 1.00e+00 1.666371964e+02 1.666380322e+02 1.8e-10 76.69
87 3.2e-07 8.0e-03 2.0e-05 1.00e+00 1.666372516e+02 1.666380039e+02 1.7e-10 78.12
88 2.8e-07 8.0e-03 1.8e-05 1.00e+00 1.666373012e+02 1.666379783e+02 1.5e-10 78.65
89 2.6e-07 8.0e-03 1.6e-05 1.00e+00 1.666373459e+02 1.666379553e+02 1.3e-10 78.72
90 2.3e-07 8.0e-03 1.5e-05 9.99e-01 1.666373861e+02 1.666379345e+02 1.2e-10 78.76
91 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.666374222e+02 1.666379158e+02 1.1e-10 80.08
92 1.9e-07 7.9e-03 1.2e-05 9.99e-01 1.666374548e+02 1.666378990e+02 9.8e-11 80.77
93 1.7e-07 7.9e-03 1.1e-05 9.99e-01 1.666374840e+02 1.666378839e+02 8.8e-11 80.93
94 1.5e-07 7.9e-03 9.6e-06 1.00e+00 1.666375103e+02 1.666378702e+02 7.9e-11 80.99
95 1.4e-07 7.9e-03 8.6e-06 1.00e+00 1.666375340e+02 1.666378579e+02 7.1e-11 81.06
96 1.2e-07 7.8e-03 7.7e-06 1.00e+00 1.666375554e+02 1.666378468e+02 6.4e-11 82.37
97 1.1e-07 7.8e-03 7.0e-06 1.00e+00 1.666375745e+02 1.666378368e+02 5.8e-11 83.17
98 9.9e-08 7.8e-03 6.3e-06 1.00e+00 1.666375918e+02 1.666378278e+02 5.2e-11 83.23
99 8.9e-08 7.0e-03 5.6e-06 1.00e+00 1.666376075e+02 1.666378197e+02 4.7e-11 83.25
100 8.0e-08 6.3e-03 5.1e-06 9.98e-01 1.666376214e+02 1.666378124e+02 4.2e-11 83.28
101 7.2e-08 5.7e-03 4.6e-06 1.01e+00 1.666376343e+02 1.666378057e+02 3.8e-11 84.98
102 6.5e-08 5.1e-03 4.1e-06 9.97e-01 1.666376456e+02 1.666377999e+02 3.4e-11 85.45
103 5.9e-08 4.6e-03 3.7e-06 9.98e-01 1.666376557e+02 1.666377946e+02 3.1e-11 85.50
104 5.3e-08 4.2e-03 3.3e-06 1.00e+00 1.666376648e+02 1.666377899e+02 2.8e-11 85.53
105 4.7e-08 3.7e-03 3.0e-06 9.99e-01 1.666376731e+02 1.666377856e+02 2.5e-11 85.58
106 4.3e-08 3.4e-03 2.7e-06 1.01e+00 1.666376807e+02 1.666377816e+02 2.3e-11 86.61
107 3.8e-08 3.0e-03 2.4e-06 1.00e+00 1.666376874e+02 1.666377781e+02 2.0e-11 87.71
108 3.5e-08 2.7e-03 2.2e-06 1.00e+00 1.666376934e+02 1.666377750e+02 1.8e-11 87.77
109 3.1e-08 2.5e-03 2.0e-06 9.97e-01 1.666376987e+02 1.666377722e+02 1.6e-11 87.81
110 2.8e-08 2.2e-03 1.8e-06 1.01e+00 1.666377038e+02 1.666377696e+02 1.5e-11 87.85
111 2.5e-08 2.0e-03 1.6e-06 1.01e+00 1.666377083e+02 1.666377672e+02 1.3e-11 88.88
112 2.3e-08 1.8e-03 1.4e-06 9.86e-01 1.666377121e+02 1.666377652e+02 1.2e-11 90.02
113 2.0e-08 1.6e-03 1.3e-06 9.79e-01 1.666377156e+02 1.666377634e+02 1.1e-11 90.06
114 1.8e-08 1.4e-03 1.2e-06 9.84e-01 1.666377187e+02 1.666377618e+02 9.8e-12 90.90
115 1.7e-08 1.3e-03 1.0e-06 9.92e-01 1.666377216e+02 1.666377604e+02 8.8e-12 92.22
116 1.5e-08 1.2e-03 9.4e-07 1.01e+00 1.666377243e+02 1.666377589e+02 8.0e-12 92.28
117 1.3e-08 1.1e-03 8.5e-07 1.01e+00 1.666377266e+02 1.666377577e+02 7.2e-12 92.29
118 1.2e-08 9.5e-04 7.6e-07 1.00e+00 1.666377286e+02 1.666377567e+02 6.5e-12 92.38
119 1.1e-08 8.5e-04 6.9e-07 1.04e+00 1.666377308e+02 1.666377555e+02 6.0e-12 93.27
120 9.8e-09 7.7e-04 6.2e-07 1.02e+00 1.666377326e+02 1.666377545e+02 5.4e-12 93.84
121 8.8e-09 6.9e-04 5.6e-07 1.01e+00 1.666377341e+02 1.666377537e+02 4.9e-12 94.91
122 8.0e-09 6.2e-04 5.0e-07 1.02e+00 1.666377355e+02 1.666377530e+02 4.4e-12 96.10
123 7.2e-09 5.6e-04 4.5e-07 9.49e-01 1.666377367e+02 1.666377524e+02 4.0e-12 96.92
124 6.5e-09 5.0e-04 4.1e-07 1.02e+00 1.666377378e+02 1.666377519e+02 3.6e-12 98.18
125 5.8e-09 4.5e-04 3.6e-07 9.30e-01 1.666377387e+02 1.666377514e+02 3.3e-12 99.21
126 4.9e-09 2.7e-05 2.2e-08 8.89e-01 1.666377468e+02 1.666377476e+02 3.5e-13 100.38
Interior-point optimizer terminated. Time: 100.38.
Optimizer terminated. Time: 100.39
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774683e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6663774762e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 100 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 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 : 1.65e+04 after factor : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281947631e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260529464e+05 3.567039063e+00 4.8e-01 1.29
2 4.3e+02 5.5e+02 2.4e+04 -9.37e-01 -1.199178232e+05 1.011823039e+01 1.9e-01 2.60
3 2.9e+02 3.7e+02 1.6e+04 -8.40e-01 -1.152760528e+05 6.284863281e+01 1.3e-01 3.70
4 2.9e+02 3.7e+02 1.6e+04 -7.60e-01 -1.125798310e+05 2.338618834e+03 1.3e-01 5.00
5 7.3e+01 9.3e+01 4.0e+03 -7.53e-01 -7.321569299e+04 1.002872937e+04 3.2e-02 6.07
6 3.6e+01 4.5e+01 2.0e+03 -1.76e-01 -4.601686206e+04 1.018884340e+04 1.6e-02 7.29
7 2.1e+01 2.6e+01 1.1e+03 2.94e-01 -3.047980978e+04 6.899556375e+03 9.1e-03 8.48
8 1.2e+01 1.5e+01 6.7e+02 5.72e-01 -1.903302542e+04 4.475401242e+03 5.3e-03 8.98
9 4.6e+00 5.9e+00 2.6e+02 7.59e-01 -7.495632057e+03 2.146503835e+03 2.0e-03 9.12
10 2.2e+00 2.8e+00 1.2e+02 9.29e-01 -3.353641889e+03 1.377850449e+03 9.8e-04 10.29
11 1.5e+00 1.9e+00 8.2e+01 9.79e-01 -2.210977235e+03 9.609866408e+02 6.6e-04 11.22
12 8.6e-01 1.1e+00 4.8e+01 9.85e-01 -1.225035149e+03 6.312885994e+02 3.8e-04 11.26
13 7.4e-01 9.9e-01 4.1e+01 9.55e-01 -1.062786079e+03 5.628133005e+02 3.3e-04 12.45
14 5.5e-01 7.4e-01 3.1e+01 9.88e-01 -7.429111201e+02 4.752644973e+02 2.5e-04 13.33
15 1.7e-01 2.5e-01 9.5e+00 9.91e-01 -1.280756389e+02 2.450100488e+02 7.7e-05 13.52
16 9.6e-02 1.6e-01 5.5e+00 1.01e+00 -7.995898304e+00 2.069290396e+02 4.5e-05 15.22
17 9.5e-02 1.5e-01 5.5e+00 1.02e+00 -6.436340498e+00 2.070556615e+02 4.4e-05 15.77
18 8.6e-02 1.4e-01 4.9e+00 1.02e+00 1.598104179e+01 2.078544404e+02 4.0e-05 15.81
19 4.9e-02 8.5e-02 2.8e+00 1.02e+00 8.164108908e+01 1.897431538e+02 2.3e-05 17.20
20 1.7e-02 8.6e-02 9.9e-01 1.02e+00 1.374439099e+02 1.752958742e+02 8.0e-06 17.99
21 4.6e-03 2.2e-01 2.7e-01 1.01e+00 1.589784449e+02 1.693718247e+02 2.2e-06 18.03
22 3.2e-03 2.5e-01 1.9e-01 1.00e+00 1.612451703e+02 1.684218710e+02 1.5e-06 18.57
23 1.2e-03 1.4e-01 7.1e-02 1.00e+00 1.645949488e+02 1.672907110e+02 5.7e-07 19.77
24 9.0e-04 1.1e-01 5.4e-02 9.93e-01 1.650503720e+02 1.671104647e+02 4.4e-07 20.30
25 3.7e-04 8.4e-02 2.3e-02 9.83e-01 1.659093345e+02 1.667859858e+02 1.9e-07 20.33
26 2.0e-04 6.9e-02 1.3e-02 1.01e+00 1.661934553e+02 1.666724322e+02 1.0e-07 20.36
27 1.5e-04 6.4e-02 9.6e-03 1.01e+00 1.662782831e+02 1.666425429e+02 7.9e-08 21.26
28 1.4e-04 5.9e-02 8.6e-03 1.01e+00 1.663052054e+02 1.666328574e+02 7.1e-08 22.53
29 1.3e-04 5.3e-02 7.8e-03 1.01e+00 1.663279865e+02 1.666228056e+02 6.4e-08 22.56
30 1.1e-04 4.9e-02 7.0e-03 1.01e+00 1.663486765e+02 1.666139640e+02 5.8e-08 22.60
31 1.0e-04 4.5e-02 6.3e-03 1.01e+00 1.663672041e+02 1.666059224e+02 5.2e-08 22.66
32 9.1e-05 4.1e-02 5.7e-03 1.01e+00 1.663838370e+02 1.665986507e+02 4.7e-08 22.68
33 8.2e-05 3.7e-02 5.1e-03 1.00e+00 1.663987623e+02 1.665920683e+02 4.2e-08 24.20
34 7.4e-05 3.4e-02 4.6e-03 1.00e+00 1.664121582e+02 1.665861126e+02 3.8e-08 24.81
35 6.7e-05 3.2e-02 4.1e-03 1.00e+00 1.664241825e+02 1.665807247e+02 3.4e-08 24.84
36 6.0e-05 2.9e-02 3.7e-03 1.00e+00 1.664349768e+02 1.665758516e+02 3.1e-08 24.88
37 5.4e-05 2.7e-02 3.3e-03 1.00e+00 1.664446682e+02 1.665714451e+02 2.8e-08 24.92
38 4.9e-05 2.5e-02 3.0e-03 1.00e+00 1.664533701e+02 1.665674612e+02 2.5e-08 25.83
39 4.4e-05 2.3e-02 2.7e-03 1.00e+00 1.664611846e+02 1.665638603e+02 2.2e-08 26.72
40 3.9e-05 2.2e-02 2.4e-03 1.00e+00 1.664682027e+02 1.665606060e+02 2.0e-08 27.05
41 3.5e-05 2.0e-02 2.2e-03 1.00e+00 1.664745063e+02 1.665576656e+02 1.8e-08 27.10
42 3.2e-05 1.9e-02 2.0e-03 1.00e+00 1.664801686e+02 1.665550092e+02 1.6e-08 27.13
43 2.9e-05 1.8e-02 1.8e-03 1.00e+00 1.664852555e+02 1.665526098e+02 1.5e-08 27.15
44 2.6e-05 1.7e-02 1.6e-03 1.00e+00 1.664898257e+02 1.665504431e+02 1.3e-08 28.01
45 2.3e-05 1.6e-02 1.4e-03 1.00e+00 1.664939322e+02 1.665484867e+02 1.2e-08 28.99
46 2.1e-05 1.5e-02 1.3e-03 1.00e+00 1.664976223e+02 1.665467206e+02 1.1e-08 29.32
47 1.9e-05 1.4e-02 1.2e-03 1.00e+00 1.665009387e+02 1.665451266e+02 9.6e-09 29.35
48 1.7e-05 1.4e-02 1.1e-03 1.00e+00 1.665039194e+02 1.665436883e+02 8.7e-09 29.36
49 1.5e-05 1.3e-02 9.5e-04 1.00e+00 1.665065988e+02 1.665423906e+02 7.8e-09 29.40
50 1.4e-05 1.3e-02 8.5e-04 1.00e+00 1.665090076e+02 1.665412201e+02 7.0e-09 30.29
51 1.2e-05 1.2e-02 7.7e-04 1.00e+00 1.665111733e+02 1.665401646e+02 6.3e-09 31.56
52 1.1e-05 1.2e-02 6.9e-04 1.00e+00 1.665131206e+02 1.665392128e+02 5.7e-09 31.61
53 1.0e-05 1.1e-02 6.2e-04 1.00e+00 1.665148718e+02 1.665383549e+02 5.1e-09 31.65
54 9.0e-06 1.1e-02 5.6e-04 1.00e+00 1.665164467e+02 1.665375816e+02 4.6e-09 31.69
55 8.1e-06 1.1e-02 5.0e-04 1.00e+00 1.665178631e+02 1.665368847e+02 4.1e-09 32.77
56 7.3e-06 1.0e-02 4.5e-04 1.00e+00 1.665191371e+02 1.665362567e+02 3.7e-09 33.99
57 6.6e-06 1.0e-02 4.1e-04 1.00e+00 1.665202831e+02 1.665356909e+02 3.4e-09 34.60
58 5.9e-06 1.0e-02 3.7e-04 1.00e+00 1.665213140e+02 1.665351811e+02 3.0e-09 35.11
59 5.3e-06 9.8e-03 3.3e-04 1.00e+00 1.665222413e+02 1.665347218e+02 2.7e-09 35.24
60 4.8e-06 9.6e-03 3.0e-04 1.00e+00 1.665230754e+02 1.665343080e+02 2.5e-09 35.98
61 4.3e-06 9.5e-03 2.7e-04 1.00e+00 1.665238258e+02 1.665339352e+02 2.2e-09 37.22
62 3.9e-06 9.3e-03 2.4e-04 1.00e+00 1.665245007e+02 1.665335993e+02 2.0e-09 38.42
63 3.5e-06 9.2e-03 2.2e-04 1.00e+00 1.665251077e+02 1.665332966e+02 1.8e-09 38.74
64 3.1e-06 9.1e-03 1.9e-04 1.00e+00 1.665256538e+02 1.665330238e+02 1.6e-09 39.42
65 2.8e-06 9.0e-03 1.8e-04 1.00e+00 1.665261449e+02 1.665327780e+02 1.4e-09 40.86
66 2.5e-06 8.9e-03 1.6e-04 1.00e+00 1.665265866e+02 1.665325565e+02 1.3e-09 41.88
67 2.3e-06 8.8e-03 1.4e-04 1.00e+00 1.665269840e+02 1.665323570e+02 1.2e-09 42.99
68 2.1e-06 8.7e-03 1.3e-04 1.00e+00 1.665273415e+02 1.665321772e+02 1.1e-09 43.91
69 1.9e-06 8.6e-03 1.2e-04 1.00e+00 1.665276631e+02 1.665320153e+02 9.5e-10 45.25
70 1.7e-06 8.6e-03 1.0e-04 1.00e+00 1.665279524e+02 1.665318694e+02 8.6e-10 46.80
71 1.5e-06 8.5e-03 9.3e-05 1.00e+00 1.665282127e+02 1.665317381e+02 7.7e-10 47.54
72 1.3e-06 8.5e-03 8.4e-05 1.00e+00 1.665284469e+02 1.665316197e+02 6.9e-10 48.62
73 1.2e-06 8.4e-03 7.6e-05 1.00e+00 1.665286575e+02 1.665315131e+02 6.2e-10 49.81
74 1.1e-06 8.4e-03 6.8e-05 1.00e+00 1.665288470e+02 1.665314171e+02 5.6e-10 50.46
75 9.8e-07 8.3e-03 6.1e-05 1.00e+00 1.665290174e+02 1.665313306e+02 5.1e-10 51.04
76 8.9e-07 8.3e-03 5.5e-05 1.00e+00 1.665291708e+02 1.665312526e+02 4.5e-10 52.10
77 8.0e-07 8.3e-03 5.0e-05 1.00e+00 1.665293087e+02 1.665311824e+02 4.1e-10 53.29
78 7.2e-07 8.2e-03 4.5e-05 1.00e+00 1.665294327e+02 1.665311190e+02 3.7e-10 54.84
79 6.5e-07 8.2e-03 4.0e-05 1.00e+00 1.665295443e+02 1.665310620e+02 3.3e-10 56.66
80 5.8e-07 8.2e-03 3.6e-05 1.00e+00 1.665296446e+02 1.665310106e+02 3.0e-10 58.02
81 5.2e-07 8.1e-03 3.3e-05 1.00e+00 1.665297348e+02 1.665309642e+02 2.7e-10 58.71
82 4.7e-07 8.1e-03 2.9e-05 1.00e+00 1.665298159e+02 1.665309225e+02 2.4e-10 58.75
83 4.2e-07 8.1e-03 2.6e-05 1.00e+00 1.665298889e+02 1.665308848e+02 2.2e-10 58.80
84 3.8e-07 8.1e-03 2.4e-05 1.00e+00 1.665299545e+02 1.665308508e+02 2.0e-10 58.85
85 3.4e-07 8.0e-03 2.1e-05 1.00e+00 1.665300135e+02 1.665308202e+02 1.8e-10 59.81
86 3.1e-07 8.0e-03 1.9e-05 1.00e+00 1.665300666e+02 1.665307926e+02 1.6e-10 60.99
87 2.8e-07 8.0e-03 1.7e-05 1.00e+00 1.665301143e+02 1.665307677e+02 1.4e-10 61.04
88 2.5e-07 8.0e-03 1.6e-05 1.00e+00 1.665301573e+02 1.665307453e+02 1.3e-10 61.08
89 2.3e-07 7.9e-03 1.4e-05 1.00e+00 1.665301959e+02 1.665307251e+02 1.2e-10 61.12
90 2.0e-07 7.9e-03 1.3e-05 1.00e+00 1.665302306e+02 1.665307069e+02 1.0e-10 62.43
91 1.8e-07 7.9e-03 1.1e-05 1.00e+00 1.665302619e+02 1.665306906e+02 9.4e-11 63.37
92 1.6e-07 7.9e-03 1.0e-05 9.99e-01 1.665302900e+02 1.665306758e+02 8.4e-11 63.40
93 1.5e-07 7.9e-03 9.2e-06 1.00e+00 1.665303153e+02 1.665306626e+02 7.6e-11 63.43
94 1.3e-07 7.9e-03 8.3e-06 1.00e+00 1.665303381e+02 1.665306506e+02 6.8e-11 63.63
95 1.2e-07 7.8e-03 7.4e-06 1.00e+00 1.665303585e+02 1.665306398e+02 6.1e-11 65.28
96 1.1e-07 7.8e-03 6.7e-06 1.00e+00 1.665303770e+02 1.665306301e+02 5.5e-11 65.50
97 9.7e-08 7.8e-03 6.0e-06 1.00e+00 1.665303936e+02 1.665306214e+02 5.0e-11 65.53
98 8.7e-08 7.8e-03 5.4e-06 9.93e-01 1.665304085e+02 1.665306136e+02 4.5e-11 65.57
99 7.8e-08 7.8e-03 4.9e-06 9.97e-01 1.665304219e+02 1.665306065e+02 4.0e-11 65.59
100 7.1e-08 7.7e-03 4.4e-06 1.00e+00 1.665304340e+02 1.665306001e+02 3.6e-11 66.52
101 6.4e-08 7.7e-03 4.0e-06 9.91e-01 1.665304448e+02 1.665305945e+02 3.3e-11 67.75
102 5.7e-08 7.7e-03 3.6e-06 9.95e-01 1.665304546e+02 1.665305893e+02 2.9e-11 67.83
103 5.1e-08 7.7e-03 3.2e-06 9.96e-01 1.665304634e+02 1.665305847e+02 2.6e-11 67.90
104 4.6e-08 7.6e-03 2.9e-06 9.93e-01 1.665304714e+02 1.665305805e+02 2.4e-11 69.53
105 4.2e-08 7.6e-03 2.6e-06 9.90e-01 1.665304785e+02 1.665305768e+02 2.1e-11 70.99
106 3.8e-08 7.6e-03 2.3e-06 9.97e-01 1.665304849e+02 1.665305734e+02 1.9e-11 72.31
107 3.4e-08 6.8e-03 2.1e-06 1.01e+00 1.665304909e+02 1.665305702e+02 1.7e-11 73.20
108 3.0e-08 6.2e-03 1.9e-06 9.98e-01 1.665304961e+02 1.665305674e+02 1.6e-11 74.34
109 2.7e-08 5.5e-03 1.7e-06 1.01e+00 1.665305010e+02 1.665305648e+02 1.4e-11 74.54
110 2.5e-08 5.0e-03 1.5e-06 1.01e+00 1.665305053e+02 1.665305625e+02 1.3e-11 75.79
111 2.2e-08 4.5e-03 1.4e-06 1.03e+00 1.665305095e+02 1.665305602e+02 1.2e-11 76.33
112 2.0e-08 4.0e-03 1.2e-06 9.97e-01 1.665305129e+02 1.665305585e+02 1.1e-11 76.82
113 1.8e-08 3.6e-03 1.1e-06 9.75e-01 1.665305158e+02 1.665305569e+02 9.5e-12 76.90
114 1.6e-08 3.3e-03 1.0e-06 1.01e+00 1.665305187e+02 1.665305554e+02 8.6e-12 76.93
115 1.5e-08 2.9e-03 9.0e-07 1.02e+00 1.665305212e+02 1.665305540e+02 7.8e-12 76.98
116 1.3e-08 2.7e-03 8.1e-07 1.00e+00 1.665305234e+02 1.665305529e+02 7.0e-12 77.83
117 1.2e-08 2.4e-03 7.3e-07 1.02e+00 1.665305255e+02 1.665305518e+02 6.4e-12 78.58
118 1.1e-08 2.1e-03 6.6e-07 9.55e-01 1.665305272e+02 1.665305509e+02 5.7e-12 79.08
119 9.6e-09 1.9e-03 5.9e-07 1.00e+00 1.665305288e+02 1.665305501e+02 5.2e-12 79.11
120 8.6e-09 1.7e-03 5.3e-07 1.01e+00 1.665305302e+02 1.665305493e+02 4.7e-12 79.14
121 7.7e-09 1.6e-03 4.8e-07 1.02e+00 1.665305316e+02 1.665305486e+02 4.2e-12 79.19
122 7.1e-09 1.4e-03 4.3e-07 1.11e+00 1.665305332e+02 1.665305477e+02 4.0e-12 79.22
123 6.5e-09 1.3e-03 3.9e-07 1.01e+00 1.665305342e+02 1.665305471e+02 3.6e-12 80.01
124 5.8e-09 1.1e-03 3.5e-07 1.03e+00 1.665305352e+02 1.665305466e+02 3.3e-12 80.62
125 5.3e-09 1.0e-03 3.2e-07 1.07e+00 1.665305362e+02 1.665305461e+02 3.1e-12 81.37
126 4.9e-09 9.2e-04 2.8e-07 1.08e+00 1.665305371e+02 1.665305456e+02 2.9e-12 81.40
127 4.4e-09 8.3e-04 2.6e-07 1.03e+00 1.665305377e+02 1.665305453e+02 2.6e-12 81.44
128 4.0e-09 7.5e-04 2.3e-07 1.04e+00 1.665305383e+02 1.665305449e+02 2.4e-12 81.49
129 2.7e-09 4.3e-05 1.3e-08 9.09e-01 1.665305426e+02 1.665305430e+02 2.4e-13 83.17
Interior-point optimizer terminated. Time: 83.17.
Optimizer terminated. Time: 83.18
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054257e+02 Viol. con: 6e-08 var: 0e+00
Dual. obj: 1.6653054297e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 83.2 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3452 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.65e+04 after factor : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281910003e+05 2.000000000e+00 1.0e+00 0.05
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.260388207e+05 3.562416744e+00 4.8e-01 1.68
2 4.3e+02 5.4e+02 2.4e+04 -9.36e-01 -1.198568659e+05 1.018649603e+01 1.9e-01 1.77
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.151988232e+05 6.373051548e+01 1.2e-01 2.96
4 2.8e+02 3.6e+02 1.6e+04 -7.60e-01 -1.125292468e+05 2.317564420e+03 1.2e-01 3.88
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.413285006e+04 9.821151292e+03 3.3e-02 3.98
6 3.3e+01 4.2e+01 1.8e+03 -1.90e-01 -4.310923234e+04 1.040983297e+04 1.4e-02 4.74
7 1.9e+01 2.4e+01 1.1e+03 3.45e-01 -2.829944994e+04 6.951568858e+03 8.4e-03 5.78
8 1.1e+01 1.4e+01 6.2e+02 6.09e-01 -1.786042837e+04 4.385659038e+03 5.0e-03 6.15
9 4.5e+00 5.7e+00 2.5e+02 7.77e-01 -7.289190927e+03 2.109109164e+03 2.0e-03 6.19
10 2.1e+00 2.6e+00 1.1e+02 9.30e-01 -3.104833204e+03 1.310263892e+03 9.1e-04 6.23
11 1.3e+00 1.6e+00 7.1e+01 9.82e-01 -1.894496843e+03 8.669869452e+02 5.7e-04 6.63
12 8.0e-01 1.0e+00 4.5e+01 9.84e-01 -1.138775061e+03 6.058231076e+02 3.6e-04 8.36
13 5.8e-01 7.8e-01 3.3e+01 9.59e-01 -8.086027157e+02 4.782449510e+02 2.6e-04 8.44
14 4.0e-01 5.3e-01 2.2e+01 9.98e-01 -4.785742528e+02 3.978179161e+02 1.8e-04 8.48
15 1.7e-01 2.4e-01 9.9e+00 9.93e-01 -1.310520714e+02 2.549834612e+02 7.9e-05 8.52
16 8.7e-02 1.4e-01 5.0e+00 1.01e+00 1.035900078e+01 2.048605046e+02 4.0e-05 10.01
17 7.7e-02 1.2e-01 4.4e+00 1.02e+00 3.259419257e+01 2.038111053e+02 3.6e-05 11.22
18 3.1e-02 7.3e-02 1.8e+00 1.02e+00 1.135900362e+02 1.813710206e+02 1.4e-05 12.04
19 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.524145717e+02 1.713318605e+02 4.0e-06 13.40
20 2.5e-03 1.5e-01 1.5e-01 1.00e+00 1.621495301e+02 1.679102310e+02 1.2e-06 14.63
21 1.5e-03 1.1e-01 9.0e-02 1.00e+00 1.639366422e+02 1.673929009e+02 7.3e-07 15.19
22 4.7e-04 1.1e-01 2.9e-02 1.01e+00 1.656859436e+02 1.667891441e+02 2.4e-07 16.25
23 1.5e-04 1.1e-01 9.6e-03 1.01e+00 1.662183100e+02 1.665842709e+02 8.1e-08 17.30
24 1.4e-04 1.0e-01 8.7e-03 1.01e+00 1.662462819e+02 1.665754942e+02 7.3e-08 17.45
25 6.3e-05 8.6e-02 4.0e-03 1.01e+00 1.663693215e+02 1.665220900e+02 3.4e-08 18.61
26 5.7e-05 7.8e-02 3.6e-03 1.01e+00 1.663810869e+02 1.665186083e+02 3.1e-08 19.88
27 5.1e-05 7.1e-02 3.3e-03 1.01e+00 1.663905878e+02 1.665143088e+02 2.8e-08 20.87
28 4.6e-05 6.4e-02 2.9e-03 1.01e+00 1.663992480e+02 1.665105667e+02 2.5e-08 22.60
29 4.1e-05 5.9e-02 2.7e-03 1.01e+00 1.664070010e+02 1.665071614e+02 2.2e-08 23.37
30 3.7e-05 5.4e-02 2.4e-03 1.01e+00 1.664139647e+02 1.665040876e+02 2.0e-08 24.29
31 3.3e-05 4.9e-02 2.1e-03 1.01e+00 1.664202165e+02 1.665013095e+02 1.8e-08 25.35
32 3.0e-05 4.5e-02 1.9e-03 1.01e+00 1.664258306e+02 1.664988000e+02 1.6e-08 26.61
33 2.7e-05 4.1e-02 1.7e-03 1.01e+00 1.664308726e+02 1.664965333e+02 1.5e-08 27.72
34 2.4e-05 3.8e-02 1.6e-03 1.00e+00 1.664354012e+02 1.664944864e+02 1.3e-08 28.72
35 2.2e-05 3.5e-02 1.4e-03 1.00e+00 1.664394693e+02 1.664926383e+02 1.2e-08 29.56
36 2.0e-05 3.2e-02 1.3e-03 1.00e+00 1.664431241e+02 1.664909699e+02 1.1e-08 29.76
37 1.8e-05 3.0e-02 1.1e-03 1.00e+00 1.664464080e+02 1.664894641e+02 9.6e-09 29.85
38 1.6e-05 2.8e-02 1.0e-03 1.00e+00 1.664493588e+02 1.664881053e+02 8.7e-09 30.28
39 1.4e-05 2.6e-02 9.2e-04 1.00e+00 1.664520107e+02 1.664868792e+02 7.8e-09 30.44
40 1.3e-05 2.4e-02 8.3e-04 1.00e+00 1.664543943e+02 1.664857733e+02 7.0e-09 30.58
41 1.2e-05 2.2e-02 7.5e-04 1.00e+00 1.664565368e+02 1.664847758e+02 6.3e-09 30.89
42 1.0e-05 2.1e-02 6.7e-04 1.00e+00 1.664584628e+02 1.664838763e+02 5.7e-09 31.00
43 9.4e-06 1.9e-02 6.1e-04 1.00e+00 1.664601945e+02 1.664830653e+02 5.1e-09 31.03
44 8.5e-06 1.8e-02 5.5e-04 1.00e+00 1.664617515e+02 1.664823342e+02 4.6e-09 31.06
45 7.7e-06 1.7e-02 4.9e-04 1.00e+00 1.664631516e+02 1.664816752e+02 4.1e-09 31.10
46 6.9e-06 1.6e-02 4.4e-04 1.00e+00 1.664644108e+02 1.664810813e+02 3.7e-09 31.13
47 6.2e-06 1.5e-02 4.0e-04 1.00e+00 1.664655432e+02 1.664805461e+02 3.4e-09 31.49
48 5.6e-06 1.5e-02 3.6e-04 1.00e+00 1.664665618e+02 1.664800640e+02 3.0e-09 31.85
49 5.0e-06 1.4e-02 3.2e-04 1.00e+00 1.664674779e+02 1.664796297e+02 2.7e-09 32.13
50 4.5e-06 1.3e-02 2.9e-04 1.00e+00 1.664683020e+02 1.664792384e+02 2.4e-09 32.63
51 4.1e-06 1.3e-02 2.6e-04 1.00e+00 1.664690434e+02 1.664788860e+02 2.2e-09 33.10
52 3.7e-06 1.2e-02 2.4e-04 1.00e+00 1.664697103e+02 1.664785685e+02 2.0e-09 33.28
53 3.3e-06 1.2e-02 2.1e-04 1.00e+00 1.664703102e+02 1.664782825e+02 1.8e-09 33.32
54 3.0e-06 1.1e-02 1.9e-04 1.00e+00 1.664708499e+02 1.664780248e+02 1.6e-09 33.37
55 2.7e-06 1.1e-02 1.7e-04 1.00e+00 1.664713354e+02 1.664777928e+02 1.4e-09 33.40
56 2.4e-06 1.1e-02 1.5e-04 1.00e+00 1.664717722e+02 1.664775839e+02 1.3e-09 33.42
57 2.2e-06 1.0e-02 1.4e-04 1.00e+00 1.664721653e+02 1.664773957e+02 1.2e-09 33.86
58 1.9e-06 1.0e-02 1.2e-04 1.00e+00 1.664725190e+02 1.664772264e+02 1.1e-09 34.23
59 1.8e-06 9.9e-03 1.1e-04 1.00e+00 1.664728373e+02 1.664770740e+02 9.5e-10 34.38
60 1.6e-06 9.6e-03 1.0e-04 1.00e+00 1.664731237e+02 1.664769367e+02 8.5e-10 34.74
61 1.4e-06 9.4e-03 9.1e-05 1.00e+00 1.664733815e+02 1.664768132e+02 7.7e-10 35.17
62 1.3e-06 9.3e-03 8.2e-05 1.00e+00 1.664736135e+02 1.664767020e+02 6.9e-10 35.54
63 1.1e-06 9.1e-03 7.4e-05 1.00e+00 1.664738223e+02 1.664766019e+02 6.2e-10 35.60
64 1.0e-06 9.0e-03 6.6e-05 1.00e+00 1.664740102e+02 1.664765119e+02 5.6e-10 35.63
65 9.3e-07 8.8e-03 6.0e-05 1.00e+00 1.664741792e+02 1.664764308e+02 5.0e-10 35.66
66 8.4e-07 8.7e-03 5.4e-05 1.00e+00 1.664743313e+02 1.664763578e+02 4.5e-10 36.25
67 7.5e-07 8.6e-03 4.8e-05 1.00e+00 1.664744682e+02 1.664762920e+02 4.1e-10 36.67
68 6.8e-07 8.5e-03 4.4e-05 1.00e+00 1.664745914e+02 1.664762329e+02 3.7e-10 37.04
69 6.1e-07 8.4e-03 3.9e-05 1.00e+00 1.664747022e+02 1.664761795e+02 3.3e-10 37.41
70 5.5e-07 8.3e-03 3.5e-05 1.00e+00 1.664748019e+02 1.664761315e+02 3.0e-10 37.64
71 4.9e-07 8.3e-03 3.2e-05 1.00e+00 1.664748916e+02 1.664760882e+02 2.7e-10 37.69
72 4.4e-07 8.2e-03 2.9e-05 9.99e-01 1.664749723e+02 1.664760493e+02 2.4e-10 37.79
73 4.0e-07 8.1e-03 2.6e-05 1.00e+00 1.664750448e+02 1.664760142e+02 2.2e-10 37.81
74 3.6e-07 8.1e-03 2.3e-05 9.99e-01 1.664751101e+02 1.664759825e+02 2.0e-10 37.84
75 3.2e-07 8.0e-03 2.1e-05 1.00e+00 1.664751688e+02 1.664759540e+02 1.8e-10 37.86
76 2.9e-07 8.0e-03 1.9e-05 1.00e+00 1.664752217e+02 1.664759283e+02 1.6e-10 37.89
77 2.6e-07 7.9e-03 1.7e-05 9.99e-01 1.664752692e+02 1.664759052e+02 1.4e-10 37.91
78 2.4e-07 7.9e-03 1.5e-05 1.00e+00 1.664753120e+02 1.664758843e+02 1.3e-10 37.93
79 2.1e-07 7.9e-03 1.4e-05 1.00e+00 1.664753505e+02 1.664758656e+02 1.2e-10 37.95
80 1.9e-07 7.8e-03 1.2e-05 9.99e-01 1.664753851e+02 1.664758487e+02 1.0e-10 38.30
81 1.7e-07 7.8e-03 1.1e-05 1.00e+00 1.664754162e+02 1.664758335e+02 9.4e-11 38.42
82 1.6e-07 7.8e-03 1.0e-05 1.00e+00 1.664754442e+02 1.664758198e+02 8.4e-11 38.57
83 1.4e-07 7.8e-03 9.0e-06 1.00e+00 1.664754695e+02 1.664758075e+02 7.6e-11 38.69
84 1.3e-07 7.7e-03 8.1e-06 1.00e+00 1.664754922e+02 1.664757964e+02 6.8e-11 38.91
85 1.1e-07 7.7e-03 7.3e-06 1.00e+00 1.664755127e+02 1.664757863e+02 6.1e-11 39.04
86 1.0e-07 7.7e-03 6.5e-06 1.00e+00 1.664755311e+02 1.664757773e+02 5.5e-11 39.17
87 9.2e-08 7.7e-03 5.9e-06 9.96e-01 1.664755476e+02 1.664757692e+02 5.0e-11 39.51
88 8.2e-08 7.6e-03 5.3e-06 9.96e-01 1.664755624e+02 1.664757620e+02 4.5e-11 40.10
89 7.4e-08 6.9e-03 4.8e-06 1.00e+00 1.664755759e+02 1.664757553e+02 4.0e-11 40.14
90 6.7e-08 6.2e-03 4.3e-06 9.92e-01 1.664755880e+02 1.664757495e+02 3.6e-11 41.04
91 6.0e-08 5.6e-03 3.9e-06 9.94e-01 1.664755988e+02 1.664757442e+02 3.3e-11 41.96
92 5.4e-08 5.0e-03 3.5e-06 9.96e-01 1.664756085e+02 1.664757394e+02 2.9e-11 42.51
93 4.9e-08 4.5e-03 3.1e-06 1.00e+00 1.664756173e+02 1.664757351e+02 2.6e-11 43.30
94 4.4e-08 4.1e-03 2.8e-06 9.98e-01 1.664756252e+02 1.664757312e+02 2.4e-11 44.14
95 3.9e-08 3.7e-03 2.5e-06 1.00e+00 1.664756324e+02 1.664757277e+02 2.1e-11 45.39
96 3.6e-08 3.3e-03 2.3e-06 1.01e+00 1.664756389e+02 1.664757245e+02 1.9e-11 46.49
97 3.2e-08 3.0e-03 2.1e-06 1.00e+00 1.664756447e+02 1.664757216e+02 1.7e-11 46.99
98 2.9e-08 2.7e-03 1.8e-06 9.85e-01 1.664756498e+02 1.664757192e+02 1.6e-11 48.06
99 2.6e-08 2.4e-03 1.7e-06 9.87e-01 1.664756545e+02 1.664757169e+02 1.4e-11 48.90
100 2.3e-08 2.2e-03 1.5e-06 9.96e-01 1.664756587e+02 1.664757149e+02 1.3e-11 49.13
101 2.1e-08 1.9e-03 1.3e-06 1.01e+00 1.664756625e+02 1.664757129e+02 1.1e-11 49.26
102 1.9e-08 1.7e-03 1.2e-06 1.01e+00 1.664756660e+02 1.664757112e+02 1.0e-11 50.70
103 1.7e-08 1.6e-03 1.1e-06 1.04e+00 1.664756695e+02 1.664757094e+02 9.5e-12 51.49
104 1.5e-08 1.4e-03 9.8e-07 9.95e-01 1.664756722e+02 1.664757081e+02 8.5e-12 51.87
105 1.4e-08 1.3e-03 8.8e-07 1.00e+00 1.664756746e+02 1.664757069e+02 7.7e-12 52.01
106 1.2e-08 1.1e-03 8.0e-07 9.86e-01 1.664756768e+02 1.664757059e+02 6.9e-12 52.13
107 1.1e-08 1.0e-03 7.2e-07 1.01e+00 1.664756788e+02 1.664757049e+02 6.2e-12 52.24
108 2.3e-09 1.1e-04 7.4e-08 9.45e-01 1.664756947e+02 1.664756975e+02 7.8e-13 52.46
Interior-point optimizer terminated. Time: 52.46.
Optimizer terminated. Time: 52.48
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569471e+02 Viol. con: 5e-08 var: 0e+00
Dual. obj: 1.6647569747e+02 Viol. con: 0e+00 var: 7e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 52.5 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3451 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 : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281197879e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259650279e+05 3.561095155e+00 4.8e-01 0.85
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197555852e+05 1.021866976e+01 1.8e-01 1.86
3 2.9e+02 3.6e+02 1.6e+04 -8.39e-01 -1.150858117e+05 6.418725504e+01 1.2e-01 3.02
4 2.8e+02 3.6e+02 1.6e+04 -7.59e-01 -1.124325326e+05 2.305448618e+03 1.2e-01 3.11
5 7.5e+01 9.5e+01 4.1e+03 -7.52e-01 -7.428037221e+04 9.756431913e+03 3.3e-02 4.23
6 3.0e+01 3.9e+01 1.7e+03 -1.93e-01 -4.041118686e+04 1.037586805e+04 1.3e-02 5.80
7 1.8e+01 2.3e+01 1.0e+03 3.93e-01 -2.698452399e+04 6.759341589e+03 8.0e-03 6.68
8 9.7e+00 1.2e+01 5.4e+02 6.31e-01 -1.558014475e+04 3.925146431e+03 4.3e-03 7.59
9 3.9e+00 5.0e+00 2.2e+02 8.13e-01 -6.376442971e+03 1.908097964e+03 1.7e-03 8.65
10 2.1e+00 2.7e+00 1.2e+02 9.41e-01 -3.267487941e+03 1.216179596e+03 9.3e-04 10.05
11 1.0e+00 1.3e+00 5.8e+01 9.80e-01 -1.522030320e+03 7.367043569e+02 4.7e-04 11.19
12 8.0e-01 1.0e+00 4.5e+01 9.79e-01 -1.157073031e+03 5.992724601e+02 3.6e-04 12.69
13 4.7e-01 6.2e-01 2.6e+01 9.74e-01 -6.218885608e+02 4.222759237e+02 2.1e-04 14.08
14 2.3e-01 9.4e-01 1.3e+01 1.00e+00 -2.250535827e+02 2.955406250e+02 1.1e-04 14.42
15 1.1e-01 4.3e-01 6.1e+00 1.00e+00 -2.237488103e+01 2.143295635e+02 4.9e-05 15.30
16 8.0e-02 3.2e-01 4.6e+00 1.01e+00 2.956408214e+01 2.065261961e+02 3.7e-05 16.69
17 4.4e-02 1.9e-01 2.5e+00 1.02e+00 8.945545607e+01 1.875912920e+02 2.1e-05 17.75
18 1.2e-02 1.6e-01 7.0e-01 1.02e+00 1.463874860e+02 1.733398104e+02 5.7e-06 18.56
19 3.5e-03 1.8e-01 2.1e-01 1.01e+00 1.605145298e+02 1.684779628e+02 1.7e-06 18.95
20 2.0e-03 1.1e-01 1.2e-01 1.01e+00 1.630965612e+02 1.676296115e+02 9.7e-07 19.22
21 6.2e-04 1.3e-01 3.8e-02 1.01e+00 1.654048948e+02 1.668595940e+02 3.1e-07 20.11
22 4.6e-04 1.1e-01 2.9e-02 9.96e-01 1.656724437e+02 1.667523978e+02 2.4e-07 21.06
23 2.4e-04 7.7e-02 1.5e-02 9.84e-01 1.660387394e+02 1.666105684e+02 1.2e-07 21.53
24 2.0e-04 6.4e-02 1.2e-02 1.00e+00 1.661168041e+02 1.665843144e+02 1.0e-07 22.37
25 1.8e-04 5.9e-02 1.1e-02 1.01e+00 1.661509657e+02 1.665714948e+02 9.2e-08 23.33
26 1.6e-04 5.4e-02 1.0e-02 1.01e+00 1.661806465e+02 1.665590029e+02 8.3e-08 24.24
27 1.4e-04 4.9e-02 9.0e-03 1.01e+00 1.662074899e+02 1.665479319e+02 7.5e-08 25.44
28 1.3e-04 4.5e-02 8.1e-03 1.01e+00 1.662315357e+02 1.665378686e+02 6.7e-08 25.60
29 1.2e-04 4.1e-02 7.3e-03 1.01e+00 1.662531176e+02 1.665287643e+02 6.0e-08 25.63
30 1.1e-04 3.8e-02 6.6e-03 1.01e+00 1.662724836e+02 1.665205226e+02 5.4e-08 25.71
31 9.5e-05 3.5e-02 5.9e-03 1.01e+00 1.662898630e+02 1.665130630e+02 4.9e-08 26.24
32 8.5e-05 3.2e-02 5.3e-03 1.01e+00 1.663054599e+02 1.665063115e+02 4.4e-08 27.77
33 7.7e-05 3.0e-02 4.8e-03 1.00e+00 1.663194577e+02 1.665002011e+02 4.0e-08 27.89
34 6.9e-05 2.7e-02 4.3e-03 1.00e+00 1.663320208e+02 1.664946714e+02 3.6e-08 27.93
35 6.2e-05 2.6e-02 3.9e-03 1.00e+00 1.663432972e+02 1.664896677e+02 3.2e-08 28.00
36 5.6e-05 2.4e-02 3.5e-03 1.00e+00 1.663534192e+02 1.664851408e+02 2.9e-08 29.70
37 5.0e-05 2.2e-02 3.1e-03 1.00e+00 1.663625061e+02 1.664810460e+02 2.6e-08 30.12
38 4.5e-05 2.1e-02 2.8e-03 1.00e+00 1.663706645e+02 1.664773428e+02 2.3e-08 30.20
39 4.1e-05 1.9e-02 2.5e-03 1.00e+00 1.663779900e+02 1.664739945e+02 2.1e-08 30.27
40 3.7e-05 1.8e-02 2.3e-03 1.00e+00 1.663845684e+02 1.664709677e+02 1.9e-08 30.29
41 3.3e-05 1.7e-02 2.1e-03 1.00e+00 1.663904764e+02 1.664682321e+02 1.7e-08 31.11
42 3.0e-05 1.6e-02 1.9e-03 1.00e+00 1.663957828e+02 1.664657600e+02 1.5e-08 32.09
43 2.7e-05 1.5e-02 1.7e-03 1.00e+00 1.664005493e+02 1.664635264e+02 1.4e-08 32.60
44 2.4e-05 1.5e-02 1.5e-03 1.00e+00 1.664048310e+02 1.664615087e+02 1.2e-08 33.14
45 2.2e-05 1.4e-02 1.4e-03 1.00e+00 1.664086776e+02 1.664596862e+02 1.1e-08 33.39
46 2.0e-05 1.3e-02 1.2e-03 1.00e+00 1.664121335e+02 1.664580402e+02 1.0e-08 33.82
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664152386e+02 1.664565539e+02 9.1e-09 33.99
48 1.6e-05 1.2e-02 9.9e-04 1.00e+00 1.664180286e+02 1.664552119e+02 8.2e-09 34.22
49 1.4e-05 1.2e-02 8.9e-04 1.00e+00 1.664205358e+02 1.664540003e+02 7.4e-09 34.34
50 1.3e-05 1.1e-02 8.0e-04 1.00e+00 1.664227889e+02 1.664529067e+02 6.6e-09 34.46
51 1.2e-05 1.1e-02 7.2e-04 1.00e+00 1.664248138e+02 1.664519197e+02 6.0e-09 34.62
52 1.0e-05 1.1e-02 6.5e-04 1.00e+00 1.664266338e+02 1.664510290e+02 5.4e-09 34.66
53 9.3e-06 1.1e-02 5.8e-04 1.00e+00 1.664282697e+02 1.664502254e+02 4.8e-09 34.68
54 8.4e-06 1.0e-02 5.2e-04 1.00e+00 1.664297402e+02 1.664495003e+02 4.4e-09 34.70
55 7.6e-06 1.0e-02 4.7e-04 1.00e+00 1.664310622e+02 1.664488463e+02 3.9e-09 34.73
56 6.8e-06 9.8e-03 4.2e-04 1.00e+00 1.664322507e+02 1.664482564e+02 3.5e-09 34.76
57 6.1e-06 9.6e-03 3.8e-04 1.00e+00 1.664333192e+02 1.664477244e+02 3.2e-09 34.77
58 5.5e-06 9.5e-03 3.4e-04 1.00e+00 1.664342800e+02 1.664472447e+02 2.9e-09 35.25
59 5.0e-06 9.3e-03 3.1e-04 1.00e+00 1.664351438e+02 1.664468121e+02 2.6e-09 35.65
60 4.5e-06 9.2e-03 2.8e-04 1.00e+00 1.664359206e+02 1.664464221e+02 2.3e-09 35.85
61 4.0e-06 9.0e-03 2.5e-04 1.00e+00 1.664366190e+02 1.664460704e+02 2.1e-09 36.15
62 3.6e-06 8.9e-03 2.3e-04 1.00e+00 1.664372471e+02 1.664457534e+02 1.9e-09 36.49
63 3.3e-06 8.8e-03 2.0e-04 1.00e+00 1.664378118e+02 1.664454676e+02 1.7e-09 36.61
64 2.9e-06 8.7e-03 1.8e-04 1.00e+00 1.664383197e+02 1.664452099e+02 1.5e-09 36.78
65 2.6e-06 8.6e-03 1.6e-04 1.00e+00 1.664387764e+02 1.664449777e+02 1.4e-09 36.89
66 2.4e-06 8.6e-03 1.5e-04 1.00e+00 1.664391872e+02 1.664447685e+02 1.2e-09 36.92
67 2.1e-06 8.5e-03 1.3e-04 1.00e+00 1.664395568e+02 1.664445800e+02 1.1e-09 36.95
68 1.9e-06 8.4e-03 1.2e-04 1.00e+00 1.664398892e+02 1.664444101e+02 1.0e-09 36.98
69 1.7e-06 8.3e-03 1.1e-04 1.00e+00 1.664401883e+02 1.664442571e+02 9.0e-10 37.04
70 1.6e-06 8.3e-03 9.7e-05 1.00e+00 1.664404573e+02 1.664441193e+02 8.1e-10 37.35
71 1.4e-06 8.2e-03 8.7e-05 1.00e+00 1.664406993e+02 1.664439951e+02 7.3e-10 37.43
72 1.3e-06 8.2e-03 7.9e-05 1.00e+00 1.664409171e+02 1.664438833e+02 6.5e-10 37.55
73 1.1e-06 8.1e-03 7.1e-05 1.00e+00 1.664411130e+02 1.664437826e+02 5.9e-10 37.68
74 1.0e-06 8.1e-03 6.4e-05 1.00e+00 1.664412892e+02 1.664436919e+02 5.3e-10 37.90
75 9.2e-07 8.0e-03 5.7e-05 1.00e+00 1.664414478e+02 1.664436102e+02 4.8e-10 38.01
76 8.3e-07 8.0e-03 5.2e-05 1.00e+00 1.664415905e+02 1.664435367e+02 4.3e-10 38.16
77 7.4e-07 8.0e-03 4.6e-05 1.00e+00 1.664417188e+02 1.664434704e+02 3.9e-10 38.30
78 6.7e-07 7.9e-03 4.2e-05 1.00e+00 1.664418342e+02 1.664434107e+02 3.5e-10 38.51
79 6.0e-07 7.9e-03 3.8e-05 1.00e+00 1.664419381e+02 1.664433569e+02 3.1e-10 38.65
80 5.4e-07 7.9e-03 3.4e-05 1.00e+00 1.664420315e+02 1.664433085e+02 2.8e-10 38.88
81 4.9e-07 7.8e-03 3.0e-05 1.00e+00 1.664421156e+02 1.664432649e+02 2.5e-10 39.04
82 4.4e-07 7.8e-03 2.7e-05 9.99e-01 1.664421912e+02 1.664432256e+02 2.3e-10 39.45
83 4.0e-07 7.8e-03 2.5e-05 1.00e+00 1.664422592e+02 1.664431902e+02 2.1e-10 39.81
84 3.6e-07 7.8e-03 2.2e-05 1.00e+00 1.664423204e+02 1.664431582e+02 1.8e-10 40.12
85 3.2e-07 7.7e-03 2.0e-05 1.00e+00 1.664423754e+02 1.664431295e+02 1.7e-10 40.59
86 2.9e-07 7.7e-03 1.8e-05 1.00e+00 1.664424250e+02 1.664431036e+02 1.5e-10 41.17
87 2.6e-07 7.7e-03 1.6e-05 1.00e+00 1.664424696e+02 1.664430803e+02 1.3e-10 41.39
88 2.3e-07 7.7e-03 1.5e-05 9.98e-01 1.664425097e+02 1.664430594e+02 1.2e-10 41.42
89 2.1e-07 7.7e-03 1.3e-05 1.00e+00 1.664425458e+02 1.664430406e+02 1.1e-10 41.49
90 1.9e-07 7.6e-03 1.2e-05 9.99e-01 1.664425783e+02 1.664430236e+02 9.8e-11 41.50
91 1.7e-07 7.6e-03 1.1e-05 1.00e+00 1.664426075e+02 1.664430083e+02 8.8e-11 41.80
92 1.5e-07 7.6e-03 9.6e-06 1.00e+00 1.664426338e+02 1.664429945e+02 8.0e-11 42.32
93 1.4e-07 7.6e-03 8.6e-06 9.98e-01 1.664426575e+02 1.664429822e+02 7.2e-11 42.47
94 1.2e-07 7.6e-03 7.8e-06 1.00e+00 1.664426788e+02 1.664429710e+02 6.4e-11 42.80
95 1.1e-07 7.6e-03 7.0e-06 1.00e+00 1.664426980e+02 1.664429610e+02 5.8e-11 43.08
96 1.0e-07 7.6e-03 6.3e-06 9.99e-01 1.664427153e+02 1.664429520e+02 5.2e-11 43.21
97 9.1e-08 7.6e-03 5.7e-06 1.00e+00 1.664427309e+02 1.664429439e+02 4.7e-11 43.45
98 8.1e-08 7.5e-03 5.1e-06 9.99e-01 1.664427448e+02 1.664429366e+02 4.2e-11 43.59
99 7.3e-08 6.8e-03 4.6e-06 1.01e+00 1.664427577e+02 1.664429298e+02 3.8e-11 43.68
100 6.6e-08 6.1e-03 4.1e-06 9.95e-01 1.664427690e+02 1.664429239e+02 3.4e-11 43.71
101 5.9e-08 5.5e-03 3.7e-06 1.01e+00 1.664427792e+02 1.664429186e+02 3.1e-11 43.74
102 5.3e-08 4.9e-03 3.3e-06 1.01e+00 1.664427887e+02 1.664429136e+02 2.8e-11 43.79
103 4.8e-08 4.4e-03 3.0e-06 1.00e+00 1.664427969e+02 1.664429093e+02 2.5e-11 43.81
104 4.3e-08 4.0e-03 2.7e-06 1.01e+00 1.664428047e+02 1.664429052e+02 2.3e-11 43.85
105 3.9e-08 3.6e-03 2.4e-06 9.94e-01 1.664428113e+02 1.664429018e+02 2.0e-11 44.24
106 3.5e-08 3.2e-03 2.2e-06 1.00e+00 1.664428172e+02 1.664428987e+02 1.8e-11 44.37
107 3.2e-08 2.9e-03 2.0e-06 9.92e-01 1.664428226e+02 1.664428959e+02 1.7e-11 44.50
108 2.8e-08 2.6e-03 1.8e-06 1.01e+00 1.664428276e+02 1.664428933e+02 1.5e-11 44.61
109 2.6e-08 2.4e-03 1.6e-06 1.05e+00 1.664428328e+02 1.664428904e+02 1.4e-11 44.75
110 2.3e-08 2.1e-03 1.4e-06 1.00e+00 1.664428366e+02 1.664428885e+02 1.2e-11 45.22
111 2.1e-08 1.9e-03 1.3e-06 1.00e+00 1.664428400e+02 1.664428867e+02 1.1e-11 45.48
112 1.9e-08 1.7e-03 1.2e-06 1.01e+00 1.664428432e+02 1.664428851e+02 1.0e-11 45.72
113 1.7e-08 1.6e-03 1.0e-06 9.43e-01 1.664428459e+02 1.664428837e+02 9.1e-12 45.86
114 1.5e-08 1.4e-03 9.4e-07 9.57e-01 1.664428484e+02 1.664428825e+02 8.2e-12 45.95
115 1.4e-08 1.3e-03 8.5e-07 1.02e+00 1.664428508e+02 1.664428812e+02 7.4e-12 45.99
116 1.3e-08 1.1e-03 7.6e-07 1.01e+00 1.664428529e+02 1.664428801e+02 6.7e-12 46.05
117 1.1e-08 1.0e-03 6.9e-07 9.50e-01 1.664428547e+02 1.664428792e+02 6.0e-12 46.08
118 1.0e-08 9.2e-04 6.2e-07 1.22e+00 1.664428562e+02 1.664428786e+02 5.4e-12 46.66
119 9.9e-09 8.2e-04 5.6e-07 8.84e-01 1.664428576e+02 1.664428781e+02 4.9e-12 46.97
120 9.2e-09 7.4e-04 5.0e-07 1.37e+00 1.664428588e+02 1.664428777e+02 4.4e-12 47.69
121 8.1e-09 6.7e-04 4.5e-07 1.37e+00 1.664428601e+02 1.664428767e+02 4.0e-12 48.15
122 7.7e-09 6.0e-04 4.1e-07 9.10e-01 1.664428611e+02 1.664428763e+02 3.6e-12 48.24
123 6.7e-09 5.4e-04 3.7e-07 1.06e+00 1.664428623e+02 1.664428756e+02 3.3e-12 48.26
124 6.1e-09 4.9e-04 3.3e-07 9.69e-01 1.664428632e+02 1.664428752e+02 3.0e-12 48.30
125 5.4e-09 4.4e-04 3.0e-07 7.26e-01 1.664428639e+02 1.664428747e+02 2.7e-12 48.32
126 5.0e-09 3.9e-04 2.7e-07 8.29e-01 1.664428646e+02 1.664428744e+02 2.4e-12 48.36
127 4.6e-09 3.5e-04 2.4e-07 1.76e+00 1.664428652e+02 1.664428742e+02 2.2e-12 48.81
128 5.4e-09 3.2e-04 2.2e-07 9.11e-01 1.664428657e+02 1.664428740e+02 2.0e-12 48.93
129 4.7e-09 2.9e-04 1.9e-07 9.74e-01 1.664428662e+02 1.664428736e+02 1.8e-12 49.28
130 4.0e-09 2.6e-04 1.7e-07 8.90e-01 1.664428667e+02 1.664428734e+02 1.6e-12 49.40
131 3.7e-09 2.3e-04 1.6e-07 6.88e-01 1.664428671e+02 1.664428731e+02 1.4e-12 49.45
132 6.8e-09 2.1e-04 1.4e-07 1.00e+00 1.664428675e+02 1.664428729e+02 1.3e-12 49.95
133 6.1e-09 1.9e-04 1.3e-07 8.44e-01 1.664428678e+02 1.664428727e+02 1.2e-12 50.49
134 4.0e-09 1.7e-04 1.1e-07 1.15e+00 1.664428683e+02 1.664428723e+02 1.1e-12 50.61
135 4.5e-09 1.5e-04 1.0e-07 4.16e-01 1.664428686e+02 1.664428719e+02 9.9e-13 50.65
Interior-point optimizer terminated. Time: 50.67.
Optimizer terminated. Time: 50.68
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286859e+02 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6644287191e+02 Viol. con: 0e+00 var: 9e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 50.7 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3451 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 : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281180388e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259625299e+05 3.560276504e+00 4.8e-01 0.59
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197268483e+05 1.024006337e+01 1.8e-01 0.86
3 2.9e+02 3.6e+02 1.6e+04 -8.38e-01 -1.150518280e+05 6.456505744e+01 1.2e-01 1.13
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.124052369e+05 2.300152289e+03 1.2e-01 1.24
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.417817066e+04 9.757612107e+03 3.3e-02 1.28
6 3.0e+01 3.8e+01 1.7e+03 -1.91e-01 -4.024530897e+04 1.031410672e+04 1.3e-02 1.33
7 1.8e+01 2.3e+01 1.0e+03 3.95e-01 -2.697124920e+04 6.726997862e+03 7.9e-03 1.37
8 9.6e+00 1.2e+01 5.3e+02 6.31e-01 -1.531795370e+04 3.871895431e+03 4.2e-03 1.51
9 3.6e+00 4.6e+00 2.0e+02 8.16e-01 -5.874945991e+03 1.809555995e+03 1.6e-03 2.03
10 2.0e+00 2.5e+00 1.1e+02 9.47e-01 -3.096585081e+03 1.203032276e+03 8.9e-04 2.16
11 8.5e-01 1.1e+00 4.7e+01 9.81e-01 -1.219601950e+03 6.194911688e+02 3.8e-04 2.40
12 8.2e-01 1.1e+00 4.6e+01 9.52e-01 -1.202443431e+03 5.954646141e+02 3.7e-04 2.81
13 5.1e-01 6.6e-01 2.9e+01 9.70e-01 -7.004837861e+02 4.298270966e+02 2.3e-04 3.17
14 3.1e-01 4.1e-01 1.7e+01 1.00e+00 -3.460446877e+02 3.419626556e+02 1.4e-04 3.43
15 1.1e-01 1.7e-01 6.1e+00 9.98e-01 -2.601051821e+01 2.150251097e+02 5.0e-05 3.52
16 8.2e-02 1.3e-01 4.7e+00 1.02e+00 2.213677201e+01 2.053679337e+02 3.8e-05 3.56
17 4.1e-02 8.5e-02 2.3e+00 1.02e+00 9.691668756e+01 1.867781363e+02 1.9e-05 3.61
18 1.4e-02 8.5e-02 8.0e-01 1.02e+00 1.432922721e+02 1.740775043e+02 6.5e-06 3.66
19 5.8e-03 7.4e-02 3.4e-01 1.01e+00 1.565014349e+02 1.694310174e+02 2.7e-06 3.95
20 1.5e-03 1.5e-01 9.0e-02 1.01e+00 1.639324355e+02 1.673712405e+02 7.3e-07 4.20
21 7.1e-04 1.0e-01 4.4e-02 9.87e-01 1.652268492e+02 1.668857405e+02 3.6e-07 4.44
22 2.3e-04 1.1e-01 1.4e-02 9.99e-01 1.660354750e+02 1.665836553e+02 1.2e-07 4.66
23 1.1e-04 8.6e-02 6.9e-03 1.01e+00 1.662379722e+02 1.665007104e+02 5.8e-08 4.71
24 5.3e-05 7.5e-02 3.4e-03 1.01e+00 1.663316594e+02 1.664611550e+02 2.9e-08 4.92
25 4.8e-05 6.8e-02 3.1e-03 1.01e+00 1.663421736e+02 1.664587926e+02 2.6e-08 5.17
26 4.3e-05 6.2e-02 2.8e-03 1.01e+00 1.663501898e+02 1.664551077e+02 2.3e-08 5.35
27 3.9e-05 5.7e-02 2.5e-03 1.01e+00 1.663575037e+02 1.664519076e+02 2.1e-08 5.46
28 3.5e-05 5.2e-02 2.3e-03 1.01e+00 1.663640457e+02 1.664489894e+02 1.9e-08 5.78
29 3.1e-05 4.7e-02 2.0e-03 1.01e+00 1.663699231e+02 1.664463566e+02 1.7e-08 5.81
30 2.8e-05 4.4e-02 1.8e-03 1.01e+00 1.663752009e+02 1.664439780e+02 1.5e-08 5.85
31 2.5e-05 4.0e-02 1.6e-03 1.00e+00 1.663799414e+02 1.664418302e+02 1.4e-08 5.88
32 2.3e-05 3.7e-02 1.5e-03 1.00e+00 1.663841996e+02 1.664398908e+02 1.2e-08 5.94
33 2.1e-05 3.4e-02 1.3e-03 1.00e+00 1.663880249e+02 1.664381399e+02 1.1e-08 6.45
34 1.9e-05 3.1e-02 1.2e-03 1.00e+00 1.663914615e+02 1.664365594e+02 1.0e-08 6.61
35 1.7e-05 2.9e-02 1.1e-03 1.00e+00 1.663945491e+02 1.664351326e+02 9.1e-09 7.10
36 1.5e-05 2.7e-02 9.7e-04 1.00e+00 1.663973236e+02 1.664338450e+02 8.2e-09 7.48
37 1.3e-05 2.5e-02 8.7e-04 1.00e+00 1.663998167e+02 1.664326830e+02 7.4e-09 7.99
38 1.2e-05 2.3e-02 7.9e-04 1.00e+00 1.664020572e+02 1.664316344e+02 6.6e-09 8.08
39 1.1e-05 2.2e-02 7.1e-04 1.00e+00 1.664040708e+02 1.664306884e+02 6.0e-09 8.13
40 9.8e-06 2.0e-02 6.4e-04 1.00e+00 1.664058807e+02 1.664298349e+02 5.4e-09 8.17
41 8.9e-06 1.9e-02 5.7e-04 1.00e+00 1.664075076e+02 1.664290651e+02 4.8e-09 8.21
42 8.0e-06 1.8e-02 5.2e-04 1.00e+00 1.664089700e+02 1.664283707e+02 4.3e-09 8.51
43 7.2e-06 1.7e-02 4.6e-04 1.00e+00 1.664102848e+02 1.664277446e+02 3.9e-09 8.75
44 6.5e-06 1.6e-02 4.2e-04 1.00e+00 1.664114668e+02 1.664271800e+02 3.5e-09 9.13
45 5.8e-06 1.5e-02 3.8e-04 1.00e+00 1.664125296e+02 1.664266710e+02 3.2e-09 9.26
46 5.2e-06 1.5e-02 3.4e-04 1.00e+00 1.664134852e+02 1.664262121e+02 2.9e-09 9.65
47 4.7e-06 1.4e-02 3.0e-04 1.00e+00 1.664143445e+02 1.664257984e+02 2.6e-09 9.79
48 4.2e-06 1.3e-02 2.7e-04 1.00e+00 1.664151173e+02 1.664254255e+02 2.3e-09 10.33
49 3.8e-06 1.3e-02 2.5e-04 1.00e+00 1.664158121e+02 1.664250894e+02 2.1e-09 10.37
50 3.4e-06 1.2e-02 2.2e-04 1.00e+00 1.664164370e+02 1.664247863e+02 1.9e-09 10.40
51 3.1e-06 1.2e-02 2.0e-04 1.00e+00 1.664169989e+02 1.664245132e+02 1.7e-09 10.44
52 2.8e-06 1.1e-02 1.8e-04 1.00e+00 1.664175042e+02 1.664242671e+02 1.5e-09 10.80
53 2.5e-06 1.1e-02 1.6e-04 1.00e+00 1.664179588e+02 1.664240453e+02 1.4e-09 11.41
54 2.3e-06 1.1e-02 1.5e-04 1.00e+00 1.664183676e+02 1.664238455e+02 1.2e-09 11.74
55 2.0e-06 1.1e-02 1.3e-04 1.00e+00 1.664187354e+02 1.664236655e+02 1.1e-09 12.03
56 1.8e-06 1.0e-02 1.2e-04 1.00e+00 1.664190664e+02 1.664235033e+02 1.0e-09 12.38
57 1.6e-06 1.0e-02 1.1e-04 1.00e+00 1.664193640e+02 1.664233573e+02 9.0e-10 12.60
58 1.5e-06 9.8e-03 9.6e-05 1.00e+00 1.664196319e+02 1.664232258e+02 8.1e-10 12.63
59 1.3e-06 9.6e-03 8.6e-05 1.00e+00 1.664198728e+02 1.664231074e+02 7.3e-10 12.66
60 1.2e-06 9.4e-03 7.8e-05 1.00e+00 1.664200896e+02 1.664230008e+02 6.5e-10 12.69
61 1.1e-06 9.3e-03 7.0e-05 1.00e+00 1.664202846e+02 1.664229047e+02 5.9e-10 12.74
62 9.7e-07 9.1e-03 6.3e-05 1.00e+00 1.664204601e+02 1.664228182e+02 5.3e-10 13.06
63 8.7e-07 9.0e-03 5.7e-05 1.00e+00 1.664206180e+02 1.664227402e+02 4.8e-10 13.20
64 7.8e-07 8.9e-03 5.1e-05 1.00e+00 1.664207600e+02 1.664226701e+02 4.3e-10 13.43
65 7.1e-07 8.8e-03 4.6e-05 1.00e+00 1.664208878e+02 1.664226068e+02 3.9e-10 13.67
66 6.4e-07 8.7e-03 4.1e-05 1.00e+00 1.664210028e+02 1.664225498e+02 3.5e-10 13.82
67 5.7e-07 8.6e-03 3.7e-05 1.00e+00 1.664211062e+02 1.664224986e+02 3.1e-10 14.22
68 5.1e-07 8.5e-03 3.3e-05 1.00e+00 1.664211992e+02 1.664224523e+02 2.8e-10 14.44
69 4.6e-07 8.4e-03 3.0e-05 1.00e+00 1.664212829e+02 1.664224107e+02 2.5e-10 14.61
70 4.2e-07 8.3e-03 2.7e-05 1.00e+00 1.664213581e+02 1.664223732e+02 2.3e-10 14.69
71 3.8e-07 8.3e-03 2.4e-05 1.00e+00 1.664214259e+02 1.664223394e+02 2.1e-10 14.80
72 3.4e-07 8.2e-03 2.2e-05 1.00e+00 1.664214868e+02 1.664223089e+02 1.8e-10 14.81
73 3.0e-07 8.2e-03 2.0e-05 1.00e+00 1.664215416e+02 1.664222815e+02 1.7e-10 14.84
74 2.7e-07 8.1e-03 1.8e-05 1.00e+00 1.664215909e+02 1.664222568e+02 1.5e-10 14.97
75 2.5e-07 8.1e-03 1.6e-05 1.00e+00 1.664216352e+02 1.664222345e+02 1.3e-10 15.78
76 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664216752e+02 1.664222145e+02 1.2e-10 15.85
77 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664217111e+02 1.664221965e+02 1.1e-10 15.97
78 1.8e-07 7.9e-03 1.2e-05 1.00e+00 1.664217434e+02 1.664221802e+02 9.8e-11 16.39
79 1.6e-07 7.9e-03 1.0e-05 9.99e-01 1.664217725e+02 1.664221657e+02 8.8e-11 16.94
80 1.5e-07 7.9e-03 9.4e-06 1.00e+00 1.664217987e+02 1.664221525e+02 7.9e-11 17.07
81 1.3e-07 7.8e-03 8.5e-06 1.00e+00 1.664218222e+02 1.664221407e+02 7.2e-11 17.11
82 1.2e-07 7.8e-03 7.6e-06 9.99e-01 1.664218434e+02 1.664221301e+02 6.4e-11 17.16
83 1.1e-07 7.8e-03 6.9e-06 1.00e+00 1.664218625e+02 1.664221205e+02 5.8e-11 17.20
84 9.5e-08 7.8e-03 6.2e-06 1.00e+00 1.664218797e+02 1.664221118e+02 5.2e-11 17.23
85 8.6e-08 7.7e-03 5.6e-06 1.00e+00 1.664218951e+02 1.664221040e+02 4.7e-11 17.26
86 7.7e-08 7.7e-03 5.0e-06 1.00e+00 1.664219090e+02 1.664220971e+02 4.2e-11 17.62
87 7.0e-08 7.0e-03 4.5e-06 1.01e+00 1.664219218e+02 1.664220906e+02 3.8e-11 17.74
88 6.3e-08 6.3e-03 4.1e-06 1.00e+00 1.664219331e+02 1.664220849e+02 3.4e-11 17.85
89 5.6e-08 5.6e-03 3.7e-06 1.00e+00 1.664219432e+02 1.664220798e+02 3.1e-11 17.97
90 5.1e-08 5.1e-03 3.3e-06 1.00e+00 1.664219523e+02 1.664220753e+02 2.8e-11 18.12
91 4.6e-08 4.6e-03 3.0e-06 9.95e-01 1.664219604e+02 1.664220712e+02 2.5e-11 18.33
92 4.1e-08 4.1e-03 2.7e-06 1.01e+00 1.664219681e+02 1.664220673e+02 2.3e-11 18.70
93 3.7e-08 3.7e-03 2.4e-06 9.96e-01 1.664219747e+02 1.664220640e+02 2.0e-11 18.83
94 3.3e-08 3.3e-03 2.2e-06 1.00e+00 1.664219807e+02 1.664220610e+02 1.8e-11 18.96
95 3.0e-08 3.0e-03 1.9e-06 1.00e+00 1.664219860e+02 1.664220583e+02 1.6e-11 19.29
96 2.7e-08 2.7e-03 1.7e-06 9.95e-01 1.664219908e+02 1.664220559e+02 1.5e-11 19.35
97 2.4e-08 2.4e-03 1.6e-06 1.00e+00 1.664219951e+02 1.664220537e+02 1.3e-11 19.42
98 2.2e-08 2.2e-03 1.4e-06 1.01e+00 1.664219992e+02 1.664220517e+02 1.2e-11 19.45
99 2.0e-08 2.0e-03 1.3e-06 9.74e-01 1.664220026e+02 1.664220500e+02 1.1e-11 19.49
100 1.8e-08 1.8e-03 1.1e-06 1.01e+00 1.664220059e+02 1.664220483e+02 9.8e-12 20.00
101 1.6e-08 1.6e-03 1.0e-06 9.94e-01 1.664220087e+02 1.664220469e+02 8.8e-12 20.26
102 1.4e-08 1.4e-03 9.3e-07 1.04e+00 1.664220116e+02 1.664220454e+02 8.1e-12 20.37
103 1.3e-08 1.3e-03 8.4e-07 1.05e+00 1.664220144e+02 1.664220439e+02 7.4e-12 20.50
104 1.2e-08 1.2e-03 7.5e-07 9.77e-01 1.664220164e+02 1.664220429e+02 6.7e-12 20.89
105 1.0e-08 1.0e-03 6.8e-07 1.03e+00 1.664220184e+02 1.664220419e+02 6.1e-12 21.59
106 9.4e-09 9.4e-04 6.1e-07 1.06e+00 1.664220204e+02 1.664220409e+02 5.7e-12 21.64
107 8.5e-09 8.5e-04 5.5e-07 9.99e-01 1.664220217e+02 1.664220402e+02 5.1e-12 21.68
108 7.7e-09 7.6e-04 4.9e-07 1.02e+00 1.664220231e+02 1.664220395e+02 4.6e-12 21.72
109 6.9e-09 6.8e-04 4.4e-07 1.02e+00 1.664220243e+02 1.664220389e+02 4.2e-12 21.73
110 6.2e-09 6.2e-04 4.0e-07 1.02e+00 1.664220254e+02 1.664220384e+02 3.8e-12 21.74
111 5.6e-09 5.5e-04 3.6e-07 8.85e-01 1.664220262e+02 1.664220380e+02 3.4e-12 21.79
112 5.1e-09 5.0e-04 3.2e-07 9.40e-01 1.664220270e+02 1.664220376e+02 3.1e-12 22.03
113 4.6e-09 4.5e-04 2.9e-07 1.10e+00 1.664220280e+02 1.664220371e+02 2.9e-12 22.16
114 3.0e-09 2.8e-05 1.8e-08 8.59e-01 1.664220339e+02 1.664220345e+02 3.5e-13 22.28
Interior-point optimizer terminated. Time: 22.28.
Optimizer terminated. Time: 22.29
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203393e+02 Viol. con: 6e-08 var: 0e+00
Dual. obj: 1.6642203453e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 22.3 seconds.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Computer
Platform : MACOSX/64-X86
Cores : 4
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Interior-point optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Total number of eliminations : 932
Eliminator terminated.
Eliminator started.
Total number of eliminations : 944
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Eliminator - elim's : 944
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Optimizer - threads : 4
Optimizer - solved problem : the primal
Optimizer - Constraints : 776
Optimizer - Cones : 0
Optimizer - Scalar variables : 3451 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.02 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.64e+04 after factor : 1.50e+05
Factor - dense dim. : 0 flops : 0.00e+00
Factor - GP saved nzs : 0 GP saved flops : 0.00e+00
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.3e+05 0.00e+00 -1.281171697e+05 2.000000000e+00 1.0e+00 0.04
1 1.1e+03 1.4e+03 6.1e+04 -9.71e-01 -1.259614431e+05 3.560065273e+00 4.8e-01 0.24
2 4.3e+02 5.4e+02 2.3e+04 -9.36e-01 -1.197068313e+05 1.025351799e+01 1.8e-01 0.38
3 2.9e+02 3.6e+02 1.6e+04 -8.38e-01 -1.150279779e+05 6.481752077e+01 1.2e-01 0.64
4 2.8e+02 3.6e+02 1.6e+04 -7.58e-01 -1.123832083e+05 2.298634380e+03 1.2e-01 0.73
5 7.5e+01 9.5e+01 4.1e+03 -7.51e-01 -7.396346020e+04 9.786614653e+03 3.3e-02 0.75
6 3.0e+01 3.8e+01 1.7e+03 -1.88e-01 -4.013432005e+04 1.027693472e+04 1.3e-02 0.78
7 1.8e+01 2.3e+01 1.0e+03 3.97e-01 -2.696800475e+04 6.723015620e+03 7.9e-03 0.79
8 9.5e+00 1.2e+01 5.2e+02 6.30e-01 -1.520122641e+04 3.849445902e+03 4.2e-03 0.81
9 3.3e+00 4.2e+00 1.8e+02 8.18e-01 -5.269745334e+03 1.687245554e+03 1.4e-03 0.82
10 1.6e+00 2.0e+00 8.6e+01 9.55e-01 -2.308431322e+03 1.041883850e+03 6.9e-04 0.84
11 1.0e+00 1.3e+00 5.8e+01 9.87e-01 -1.504108767e+03 7.650693402e+02 4.7e-04 0.87
12 8.8e-01 1.1e+00 4.9e+01 9.72e-01 -1.271651051e+03 6.591061964e+02 3.9e-04 1.02
13 4.6e-01 6.0e-01 2.6e+01 9.79e-01 -6.086009873e+02 4.195793924e+02 2.1e-04 1.17
14 2.4e-01 4.1e-01 1.4e+01 1.00e+00 -2.357837057e+02 2.978043279e+02 1.1e-04 1.51
15 9.5e-02 1.8e-01 5.4e+00 1.00e+00 -4.403572319e+00 2.074370101e+02 4.4e-05 1.55
16 8.8e-02 1.6e-01 5.0e+00 1.02e+00 1.377432379e+01 2.095617466e+02 4.1e-05 1.56
17 6.0e-02 1.1e-01 3.4e+00 1.02e+00 6.129856550e+01 1.956042626e+02 2.8e-05 1.58
18 3.3e-02 7.9e-02 1.9e+00 1.02e+00 1.095584712e+02 1.826765242e+02 1.5e-05 1.59
19 9.2e-03 1.8e-01 5.3e-01 1.02e+00 1.514486031e+02 1.719167969e+02 4.3e-06 1.60
20 3.6e-03 2.1e-01 2.1e-01 1.01e+00 1.602344683e+02 1.684276803e+02 1.7e-06 1.61
21 1.3e-03 1.3e-01 7.6e-02 1.01e+00 1.642869736e+02 1.671994016e+02 6.3e-07 1.62
22 8.4e-04 1.0e-01 5.1e-02 9.86e-01 1.650113380e+02 1.669392729e+02 4.2e-07 1.63
23 2.5e-04 1.1e-01 1.6e-02 9.88e-01 1.659828102e+02 1.665842281e+02 1.3e-07 1.64
24 9.6e-05 1.0e-01 6.1e-03 1.01e+00 1.662457199e+02 1.664769558e+02 5.2e-08 1.66
25 3.8e-05 9.5e-02 2.4e-03 1.01e+00 1.663439537e+02 1.664356597e+02 2.1e-08 1.67
26 1.7e-05 8.1e-02 1.1e-03 1.00e+00 1.663784188e+02 1.664209241e+02 9.6e-09 1.68
27 1.6e-05 7.4e-02 1.0e-03 1.00e+00 1.663819531e+02 1.664202255e+02 8.7e-09 1.69
28 1.4e-05 6.7e-02 9.2e-04 1.01e+00 1.663845471e+02 1.664189847e+02 7.8e-09 1.70
29 1.3e-05 6.1e-02 8.2e-04 1.00e+00 1.663869255e+02 1.664179139e+02 7.0e-09 1.71
30 1.1e-05 5.6e-02 7.4e-04 1.00e+00 1.663890558e+02 1.664169409e+02 6.3e-09 1.72
31 1.0e-05 5.1e-02 6.7e-04 1.00e+00 1.663909715e+02 1.664160645e+02 5.7e-09 1.73
32 9.2e-06 4.7e-02 6.0e-04 1.00e+00 1.663926934e+02 1.664152740e+02 5.1e-09 1.75
33 8.3e-06 4.3e-02 5.4e-04 1.00e+00 1.663942414e+02 1.664145615e+02 4.6e-09 1.76
34 7.5e-06 3.9e-02 4.9e-04 1.00e+00 1.663956330e+02 1.664139191e+02 4.1e-09 1.77
35 6.7e-06 3.6e-02 4.4e-04 1.00e+00 1.663968842e+02 1.664133401e+02 3.7e-09 1.78
36 6.0e-06 3.3e-02 3.9e-04 1.00e+00 1.663980093e+02 1.664128183e+02 3.4e-09 1.79
37 5.4e-06 3.1e-02 3.5e-04 1.00e+00 1.663990209e+02 1.664123480e+02 3.0e-09 1.80
38 4.9e-06 2.9e-02 3.2e-04 1.00e+00 1.663999307e+02 1.664119241e+02 2.7e-09 1.81
39 4.4e-06 2.6e-02 2.9e-04 1.00e+00 1.664007488e+02 1.664115422e+02 2.4e-09 1.82
40 4.0e-06 2.5e-02 2.6e-04 1.00e+00 1.664014845e+02 1.664111980e+02 2.2e-09 1.93
41 3.6e-06 2.3e-02 2.3e-04 1.00e+00 1.664021462e+02 1.664108878e+02 2.0e-09 1.98
42 3.2e-06 2.1e-02 2.1e-04 1.00e+00 1.664027412e+02 1.664106083e+02 1.8e-09 1.99
43 2.9e-06 2.0e-02 1.9e-04 1.00e+00 1.664032763e+02 1.664103565e+02 1.6e-09 2.00
44 2.6e-06 1.9e-02 1.7e-04 1.00e+00 1.664037577e+02 1.664101295e+02 1.4e-09 2.01
45 2.3e-06 1.8e-02 1.5e-04 1.00e+00 1.664041906e+02 1.664099252e+02 1.3e-09 2.02
46 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.664045801e+02 1.664097411e+02 1.2e-09 2.03
47 1.9e-06 1.6e-02 1.2e-04 1.00e+00 1.664049306e+02 1.664095753e+02 1.1e-09 2.04
48 1.7e-06 1.5e-02 1.1e-04 1.00e+00 1.664052458e+02 1.664094260e+02 9.5e-10 2.05
49 1.5e-06 1.4e-02 1.0e-04 1.00e+00 1.664055295e+02 1.664092915e+02 8.5e-10 2.06
50 1.4e-06 1.4e-02 9.0e-05 1.00e+00 1.664057847e+02 1.664091705e+02 7.7e-10 2.08
51 1.2e-06 1.3e-02 8.1e-05 1.00e+00 1.664060143e+02 1.664090615e+02 6.9e-10 2.09
52 1.1e-06 1.2e-02 7.3e-05 1.00e+00 1.664062208e+02 1.664089633e+02 6.2e-10 2.10
53 1.0e-06 1.2e-02 6.6e-05 1.00e+00 1.664064067e+02 1.664088749e+02 5.6e-10 2.11
54 9.1e-07 1.2e-02 5.9e-05 1.00e+00 1.664065739e+02 1.664087953e+02 5.0e-10 2.12
55 8.2e-07 1.1e-02 5.3e-05 1.00e+00 1.664067244e+02 1.664087236e+02 4.5e-10 2.13
56 7.4e-07 1.1e-02 4.8e-05 1.00e+00 1.664068597e+02 1.664086590e+02 4.1e-10 2.14
57 6.6e-07 1.1e-02 4.3e-05 1.00e+00 1.664069815e+02 1.664086008e+02 3.7e-10 2.15
58 6.0e-07 1.0e-02 3.9e-05 1.00e+00 1.664070910e+02 1.664085484e+02 3.3e-10 2.16
59 5.4e-07 1.0e-02 3.5e-05 1.00e+00 1.664071896e+02 1.664085012e+02 3.0e-10 2.17
60 4.8e-07 9.7e-03 3.1e-05 1.00e+00 1.664072782e+02 1.664084587e+02 2.7e-10 2.18
61 4.3e-07 9.5e-03 2.8e-05 1.00e+00 1.664073579e+02 1.664084204e+02 2.4e-10 2.19
62 3.9e-07 9.3e-03 2.5e-05 1.00e+00 1.664074296e+02 1.664083859e+02 2.2e-10 2.20
63 3.5e-07 9.2e-03 2.3e-05 9.99e-01 1.664074941e+02 1.664083548e+02 2.0e-10 2.21
64 3.2e-07 9.0e-03 2.1e-05 1.00e+00 1.664075522e+02 1.664083268e+02 1.8e-10 2.22
65 2.8e-07 8.9e-03 1.9e-05 1.00e+00 1.664076044e+02 1.664083015e+02 1.6e-10 2.23
66 2.6e-07 8.7e-03 1.7e-05 1.00e+00 1.664076514e+02 1.664082788e+02 1.4e-10 2.24
67 2.3e-07 8.6e-03 1.5e-05 1.00e+00 1.664076937e+02 1.664082583e+02 1.3e-10 2.25
68 2.1e-07 8.5e-03 1.4e-05 1.00e+00 1.664077317e+02 1.664082399e+02 1.2e-10 2.26
69 1.9e-07 8.4e-03 1.2e-05 1.00e+00 1.664077659e+02 1.664082232e+02 1.0e-10 2.27
70 1.7e-07 8.3e-03 1.1e-05 1.00e+00 1.664077967e+02 1.664082083e+02 9.4e-11 2.28
71 1.5e-07 8.3e-03 9.9e-06 1.00e+00 1.664078245e+02 1.664081948e+02 8.4e-11 2.29
72 1.4e-07 8.2e-03 8.9e-06 1.00e+00 1.664078494e+02 1.664081827e+02 7.6e-11 2.30
73 1.2e-07 8.1e-03 8.0e-06 9.97e-01 1.664078718e+02 1.664081719e+02 6.8e-11 2.33
74 1.1e-07 8.1e-03 7.2e-06 1.00e+00 1.664078921e+02 1.664081620e+02 6.1e-11 2.39
75 9.9e-08 8.0e-03 6.5e-06 9.97e-01 1.664079102e+02 1.664081532e+02 5.5e-11 2.40
76 8.9e-08 8.0e-03 5.8e-06 1.01e+00 1.664079268e+02 1.664081451e+02 5.0e-11 2.41
77 8.0e-08 8.0e-03 5.2e-06 1.01e+00 1.664079416e+02 1.664081379e+02 4.5e-11 2.53
78 7.2e-08 7.2e-03 4.7e-06 1.01e+00 1.664079555e+02 1.664081310e+02 4.1e-11 2.54
79 6.5e-08 6.5e-03 4.3e-06 1.01e+00 1.664079676e+02 1.664081251e+02 3.7e-11 2.55
80 5.9e-08 5.8e-03 3.8e-06 9.97e-01 1.664079782e+02 1.664081200e+02 3.3e-11 2.99
81 5.3e-08 5.2e-03 3.4e-06 1.01e+00 1.664079879e+02 1.664081153e+02 3.0e-11 3.01
82 4.8e-08 4.7e-03 3.1e-06 1.01e+00 1.664079966e+02 1.664081110e+02 2.7e-11 3.06
83 4.3e-08 4.2e-03 2.8e-06 1.02e+00 1.664080048e+02 1.664081070e+02 2.4e-11 3.09
84 3.8e-08 3.8e-03 2.5e-06 9.88e-01 1.664080116e+02 1.664081037e+02 2.2e-11 3.15
85 3.5e-08 3.4e-03 2.3e-06 1.01e+00 1.664080179e+02 1.664081007e+02 2.0e-11 3.43
86 3.1e-08 3.1e-03 2.0e-06 9.84e-01 1.664080235e+02 1.664080980e+02 1.8e-11 3.44
87 2.8e-08 2.8e-03 1.8e-06 9.94e-01 1.664080285e+02 1.664080956e+02 1.6e-11 3.45
88 2.5e-08 2.5e-03 1.6e-06 1.00e+00 1.664080330e+02 1.664080934e+02 1.4e-11 3.46
89 2.3e-08 2.3e-03 1.5e-06 9.98e-01 1.664080371e+02 1.664080914e+02 1.3e-11 3.47
90 2.0e-08 2.0e-03 1.3e-06 9.85e-01 1.664080407e+02 1.664080896e+02 1.2e-11 3.48
91 1.8e-08 1.8e-03 1.2e-06 9.79e-01 1.664080440e+02 1.664080881e+02 1.0e-11 3.50
92 1.7e-08 1.6e-03 1.1e-06 1.01e+00 1.664080471e+02 1.664080866e+02 9.5e-12 3.70
93 1.5e-08 1.5e-03 9.7e-07 9.72e-01 1.664080497e+02 1.664080853e+02 8.5e-12 3.71
94 1.3e-08 1.3e-03 8.8e-07 1.02e+00 1.664080523e+02 1.664080840e+02 7.7e-12 3.76
95 1.2e-08 1.2e-03 7.9e-07 1.01e+00 1.664080545e+02 1.664080830e+02 7.0e-12 3.77
96 1.1e-08 1.1e-03 7.1e-07 1.03e+00 1.664080567e+02 1.664080819e+02 6.4e-12 3.78
97 9.8e-09 9.7e-04 6.4e-07 9.77e-01 1.664080584e+02 1.664080811e+02 5.7e-12 3.79
98 8.8e-09 8.7e-04 5.7e-07 1.00e+00 1.664080599e+02 1.664080803e+02 5.2e-12 3.80
99 8.0e-09 7.9e-04 5.2e-07 9.88e-01 1.664080613e+02 1.664080796e+02 4.6e-12 3.81
100 7.3e-09 7.1e-04 4.7e-07 9.60e-01 1.664080625e+02 1.664080791e+02 4.2e-12 3.82
101 6.6e-09 6.4e-04 4.2e-07 9.40e-01 1.664080636e+02 1.664080786e+02 3.8e-12 3.83
102 6.1e-09 5.7e-04 3.8e-07 9.98e-01 1.664080646e+02 1.664080781e+02 3.4e-12 3.84
103 5.3e-09 5.2e-04 3.4e-07 9.95e-01 1.664080655e+02 1.664080776e+02 3.0e-12 3.85
104 4.7e-09 4.6e-04 3.1e-07 9.74e-01 1.664080663e+02 1.664080772e+02 2.7e-12 3.86
105 4.3e-09 4.2e-04 2.7e-07 8.15e-01 1.664080670e+02 1.664080769e+02 2.5e-12 3.88
106 3.8e-09 3.8e-04 2.5e-07 1.05e+00 1.664080678e+02 1.664080765e+02 2.3e-12 3.89
107 3.5e-09 3.4e-04 2.2e-07 9.42e-01 1.664080684e+02 1.664080762e+02 2.0e-12 3.90
108 3.2e-09 3.0e-04 2.0e-07 9.61e-01 1.664080689e+02 1.664080760e+02 1.8e-12 3.91
109 2.9e-09 2.7e-04 1.8e-07 8.43e-01 1.664080694e+02 1.664080758e+02 1.7e-12 3.91
110 2.6e-09 2.5e-04 1.6e-07 1.07e+00 1.664080699e+02 1.664080755e+02 1.5e-12 3.95
111 2.4e-09 2.2e-04 1.5e-07 9.83e-01 1.664080703e+02 1.664080753e+02 1.4e-12 3.96
112 2.2e-09 2.0e-04 1.3e-07 9.06e-01 1.664080706e+02 1.664080751e+02 1.3e-12 3.99
113 2.1e-09 1.8e-04 1.2e-07 8.52e-01 1.664080709e+02 1.664080750e+02 1.1e-12 4.00
114 2.0e-09 1.6e-04 1.1e-07 1.24e+00 1.664080712e+02 1.664080748e+02 1.0e-12 4.02
115 2.0e-09 1.5e-04 9.6e-08 1.39e+00 1.664080714e+02 1.664080747e+02 9.1e-13 4.03
Interior-point optimizer terminated. Time: 4.03.
Optimizer terminated. Time: 4.04
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807145e+02 Viol. con: 4e-08 var: 0e+00
Dual. obj: 1.6640807467e+02 Viol. con: 0e+00 var: 9e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 4.05 seconds.
Solving took 9 GP solves and 581 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: 1.4957407718683218e+110 vs 1.49570283047e+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: 3.705396675524039e+72 vs 3.70527328946e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682084]
Total Aircraft Weight Percent Diff: [-21.48055977]
Engine Weight Percent Diff: -56.27824709950153
Fuselage Weight Percent Diff: -0.8697110000964435
Payload Weight Percent Diff: [-0.04003554]
VT Weight Percent Diff: -8.607453648352912
HT Weight Percent Diff: -93.23323356779025
Wing Weight Percent Diff: 8.267460355908817
WING DIFFERENCES
Wing Span Percent Diff: -0.029997497085063666
Wing Area Percent Diff: 32.900064729876476
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.489269017848095
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022320620308179
VT Area Percent Diff: -60.38681799403143
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54730429]
L/D Percent Diff: [24.01020822]
Nacelle Cd Percent Diff: [-94.27640417]
HT Cd Percent Diff: [-80.769358] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00301154] dimensionless
Wing Cd percent Diff: [-14.22927771]
Induced Drag Cd Percent Diff: [1.2193878]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035703]
FUSELAGE DIFFERENCES
Weight of HB material: -38.359530181386575
Weight of VB material: 87.82895222394824
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260512]