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Failed
gpkit.tests.from_paths.TestFiles.test_SPaircraft_py_mosek (from gpkit.tests.from_paths.TestFiles-20190901154017)
Failing for the past 1 build
(Since Failed
)
Error Message
Geometric Program is not fully bounded: Mission1.Aircraft.Engine.EngineConstants.Relax1.R has no lower bound Mission1.Aircraft.Engine.EngineConstants.Relax1.g has no lower bound
Stacktrace
Traceback (most recent call last):
File "/Users/jenkins/workspace/gpkit_PullRequest_Models/buildnode/macys/optimizer/mosek/gpkit/tests/helpers.py", line 64, in test
testfn(name, import_dict, path)(self)
File "/Users/jenkins/workspace/gpkit_PullRequest_Models/buildnode/macys/optimizer/mosek/gpkit/tests/from_paths.py", line 51, in <lambda>
lambda self: getattr(self, name)())) # pylint:disable=undefined-variable
File "/Users/jenkins/workspace/gpkit_PullRequest_Models/buildnode/macys/optimizer/mosek/gpkit/tests/from_paths.py", line 40, in test_fn
mod.test()
File "SPaircraft.py", line 87, in test
sol = optimize_aircraft(m, substitutions, fixedBPR, pRatOpt, mutategparg)
File "SPaircraft.py", line 62, in optimize_aircraft
sol = m_relax.localsolve(verbosity=4, iteration_limit=200, reltol=0.01, mutategp=mutategparg, x0 = x0)
File "/Users/jenkins/workspace/gpkit_PullRequest_Models/buildnode/macys/optimizer/mosek/gpkit/constraints/prog_factories.py", line 124, in solvefn
result = progsolve(solver, verbosity, **kwargs)
File "/Users/jenkins/workspace/gpkit_PullRequest_Models/buildnode/macys/optimizer/mosek/gpkit/constraints/sgp.py", line 149, in localsolve
feas_constrs, None)
File "/Users/jenkins/workspace/gpkit_PullRequest_Models/buildnode/macys/optimizer/mosek/gpkit/constraints/gp.py", line 112, in __init__
+ boundstrs)
ValueError: Geometric Program is not fully bounded:
Mission1.Aircraft.Engine.EngineConstants.Relax1.R has no lower bound
Mission1.Aircraft.Engine.EngineConstants.Relax1.g has no lower bound
Standard Output
Mission
=======
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission.Aircraft.Wing.WingBox.N_{lift} = 3
Mission.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission.Aircraft.VerticalTail.WingBox.N_{lift}*Mission.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission.Aircraft.Wing.WingBox.r_{w/c} = Mission.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission.Aircraft.Fuselage.N_{lift} = Mission.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
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.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 867
Optimizer - Cones : 0
Optimizer - Scalar variables : 3449 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 : 1.48e+04 after factor : 1.48e+05
Factor - dense dim. : 0 flops : 2.91e+07
Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.240554640e+05 2.000000000e+00 1.0e+00 0.04
1 1.6e+03 2.5e+03 8.6e+04 -9.71e-01 -1.231748620e+05 2.768564203e+00 6.9e-01 0.04
2 8.3e+02 1.3e+03 4.5e+04 -9.57e-01 -1.207102576e+05 5.074539575e+00 3.6e-01 0.05
3 2.9e+02 4.6e+02 1.6e+04 -9.16e-01 -1.119695293e+05 2.152151786e+01 1.3e-01 0.07
4 2.9e+02 4.6e+02 1.6e+04 -7.71e-01 -1.100217009e+05 1.714527825e+03 1.3e-01 0.08
5 1.1e+02 1.8e+02 6.1e+03 -7.62e-01 -8.610790684e+04 6.695162483e+03 4.9e-02 0.09
6 3.8e+01 6.0e+01 2.0e+03 -4.15e-01 -4.645329796e+04 1.061030954e+04 1.7e-02 0.10
7 2.0e+01 3.2e+01 1.1e+03 2.49e-01 -2.881094530e+04 6.918992390e+03 8.9e-03 0.11
8 9.3e+00 1.5e+01 5.1e+02 5.72e-01 -1.414104026e+04 4.203941881e+03 4.1e-03 0.12
9 4.7e+00 7.4e+00 2.6e+02 8.28e-01 -7.062773964e+03 2.484854671e+03 2.1e-03 0.13
10 1.4e+00 2.2e+00 7.8e+01 9.34e-01 -2.018136909e+03 9.357817475e+02 6.3e-04 0.14
11 6.4e-01 1.0e+00 3.5e+01 9.94e-01 -6.982656505e+02 6.561046293e+02 2.9e-04 0.15
12 4.8e-01 7.6e-01 2.7e+01 9.96e-01 -4.637672981e+02 5.552260964e+02 2.2e-04 0.16
13 3.5e-01 7.8e-01 1.9e+01 9.80e-01 -2.759129050e+02 4.726371230e+02 1.6e-04 0.16
14 1.7e-01 3.9e-01 9.5e+00 9.96e-01 -5.042629419e+00 3.635650326e+02 7.9e-05 0.17
15 5.6e-02 1.6e-01 3.2e+00 9.94e-01 1.664733408e+02 2.896174723e+02 2.7e-05 0.19
16 3.2e-02 1.3e-01 1.9e+00 1.00e+00 2.020980643e+02 2.743670523e+02 1.6e-05 0.20
17 5.2e-03 1.8e-01 3.2e-01 1.00e+00 2.448158456e+02 2.572499035e+02 2.8e-06 0.21
18 1.5e-03 1.3e-01 9.5e-02 1.00e+00 2.510419816e+02 2.546930667e+02 8.5e-07 0.21
19 4.9e-04 1.1e-01 3.1e-02 1.00e+00 2.528147431e+02 2.540233778e+02 2.8e-07 0.22
20 2.1e-04 8.7e-02 1.4e-02 1.00e+00 2.533049609e+02 2.538348974e+02 1.2e-07 0.23
21 1.9e-04 7.9e-02 1.2e-02 1.00e+00 2.533443648e+02 2.538213184e+02 1.1e-07 0.24
22 1.7e-04 7.2e-02 1.1e-02 1.00e+00 2.533787262e+02 2.538079586e+02 1.0e-07 0.25
23 1.6e-04 6.6e-02 1.0e-02 1.00e+00 2.534096894e+02 2.537959814e+02 9.1e-08 0.26
24 1.4e-04 6.0e-02 9.1e-03 1.00e+00 2.534375306e+02 2.537851789e+02 8.2e-08 0.28
25 1.3e-04 5.4e-02 8.2e-03 1.00e+00 2.534625698e+02 2.537754412e+02 7.4e-08 0.29
26 1.1e-04 5.0e-02 7.3e-03 1.00e+00 2.534850882e+02 2.537666624e+02 6.6e-08 0.30
27 1.0e-04 4.6e-02 6.6e-03 1.00e+00 2.535053418e+02 2.537587504e+02 6.0e-08 0.30
28 9.2e-05 4.2e-02 5.9e-03 1.00e+00 2.535235593e+02 2.537516203e+02 5.4e-08 0.31
29 8.3e-05 3.8e-02 5.4e-03 1.00e+00 2.535399463e+02 2.537451957e+02 4.8e-08 0.32
30 7.4e-05 3.5e-02 4.8e-03 1.00e+00 2.535546874e+02 2.537394073e+02 4.4e-08 0.33
31 6.7e-05 3.2e-02 4.3e-03 1.00e+00 2.535679483e+02 2.537341927e+02 3.9e-08 0.33
32 6.0e-05 3.0e-02 3.9e-03 1.00e+00 2.535798780e+02 2.537294951e+02 3.5e-08 0.34
33 5.4e-05 2.8e-02 3.5e-03 1.00e+00 2.535906105e+02 2.537252636e+02 3.2e-08 0.35
34 4.9e-05 2.6e-02 3.2e-03 1.00e+00 2.536002661e+02 2.537214521e+02 2.9e-08 0.36
35 4.4e-05 2.4e-02 2.8e-03 1.00e+00 2.536089531e+02 2.537180190e+02 2.6e-08 0.36
36 4.0e-05 2.2e-02 2.6e-03 1.00e+00 2.536167687e+02 2.537149269e+02 2.3e-08 0.37
37 3.6e-05 2.1e-02 2.3e-03 1.00e+00 2.536238006e+02 2.537121421e+02 2.1e-08 0.38
38 3.2e-05 1.9e-02 2.1e-03 1.00e+00 2.536301274e+02 2.537096341e+02 1.9e-08 0.39
39 2.9e-05 1.8e-02 1.9e-03 1.00e+00 2.536358199e+02 2.537073754e+02 1.7e-08 0.40
40 2.6e-05 1.7e-02 1.7e-03 1.00e+00 2.536409418e+02 2.537053414e+02 1.5e-08 0.41
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536455504e+02 2.537035098e+02 1.4e-08 0.43
42 2.1e-05 1.5e-02 1.4e-03 1.00e+00 2.536496972e+02 2.537018604e+02 1.2e-08 0.43
43 1.9e-05 1.5e-02 1.2e-03 1.00e+00 2.536534285e+02 2.537003753e+02 1.1e-08 0.44
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536567861e+02 2.536990381e+02 1.0e-08 0.45
45 1.5e-05 1.3e-02 9.9e-04 1.00e+00 2.536598074e+02 2.536978341e+02 9.0e-09 0.46
46 1.4e-05 1.3e-02 8.9e-04 1.00e+00 2.536625261e+02 2.536967502e+02 8.1e-09 0.47
47 1.2e-05 1.2e-02 8.0e-04 1.00e+00 2.536649726e+02 2.536957743e+02 7.3e-09 0.48
48 1.1e-05 1.2e-02 7.2e-04 1.00e+00 2.536671742e+02 2.536948957e+02 6.5e-09 0.48
49 1.0e-05 1.1e-02 6.5e-04 1.00e+00 2.536691554e+02 2.536941047e+02 5.9e-09 0.49
50 9.0e-06 1.1e-02 5.9e-04 1.00e+00 2.536709383e+02 2.536933927e+02 5.3e-09 0.50
51 8.1e-06 1.1e-02 5.3e-04 1.00e+00 2.536725427e+02 2.536927517e+02 4.8e-09 0.51
52 7.3e-06 1.0e-02 4.7e-04 1.00e+00 2.536739866e+02 2.536921747e+02 4.3e-09 0.52
53 6.6e-06 1.0e-02 4.3e-04 1.00e+00 2.536752860e+02 2.536916553e+02 3.9e-09 0.53
54 5.9e-06 9.8e-03 3.8e-04 1.00e+00 2.536764553e+02 2.536911878e+02 3.5e-09 0.54
55 5.3e-06 9.6e-03 3.5e-04 1.00e+00 2.536775077e+02 2.536907669e+02 3.1e-09 0.54
56 4.8e-06 9.4e-03 3.1e-04 1.00e+00 2.536784547e+02 2.536903881e+02 2.8e-09 0.55
57 4.3e-06 9.2e-03 2.8e-04 1.00e+00 2.536793070e+02 2.536900470e+02 2.5e-09 0.56
58 3.9e-06 9.0e-03 2.5e-04 1.00e+00 2.536800740e+02 2.536897401e+02 2.3e-09 0.57
59 3.5e-06 8.9e-03 2.3e-04 1.00e+00 2.536807643e+02 2.536894637e+02 2.1e-09 0.58
60 3.2e-06 8.7e-03 2.0e-04 1.00e+00 2.536813855e+02 2.536892150e+02 1.8e-09 0.59
61 1.2e-06 3.4e-03 7.9e-05 1.00e+00 2.536848025e+02 2.536878456e+02 7.2e-10 0.60
62 1.1e-06 3.0e-03 7.1e-05 1.00e+00 2.536850202e+02 2.536877590e+02 6.5e-10 0.61
63 3.9e-07 1.1e-03 2.6e-05 1.00e+00 2.536862733e+02 2.536872564e+02 2.3e-10 0.62
64 3.6e-07 9.8e-04 2.3e-05 1.00e+00 2.536863436e+02 2.536872284e+02 2.1e-10 0.63
65 3.2e-07 8.9e-04 2.1e-05 1.00e+00 2.536864067e+02 2.536872030e+02 1.9e-10 0.64
66 2.9e-07 8.0e-04 1.9e-05 1.00e+00 2.536864635e+02 2.536871802e+02 1.7e-10 0.65
67 2.6e-07 7.2e-04 1.7e-05 1.00e+00 2.536865146e+02 2.536871596e+02 1.5e-10 0.66
68 2.3e-07 6.5e-04 1.5e-05 1.00e+00 2.536865606e+02 2.536871412e+02 1.4e-10 0.66
69 2.1e-07 5.8e-04 1.4e-05 1.00e+00 2.536866020e+02 2.536871245e+02 1.2e-10 0.67
70 1.9e-07 5.2e-04 1.2e-05 1.00e+00 2.536866393e+02 2.536871096e+02 1.1e-10 0.68
71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866729e+02 2.536870961e+02 1.0e-10 0.69
72 1.5e-07 4.2e-04 9.9e-06 1.00e+00 2.536867031e+02 2.536870839e+02 9.0e-11 0.70
73 1.4e-07 3.8e-04 8.9e-06 1.00e+00 2.536867302e+02 2.536870730e+02 8.1e-11 0.70
74 1.2e-07 3.4e-04 8.1e-06 1.00e+00 2.536867547e+02 2.536870632e+02 7.3e-11 0.71
75 1.1e-07 3.1e-04 7.2e-06 1.00e+00 2.536867767e+02 2.536870544e+02 6.6e-11 0.72
76 1.0e-07 2.8e-04 6.5e-06 1.00e+00 2.536867965e+02 2.536870464e+02 5.9e-11 0.73
77 9.0e-08 2.5e-04 5.9e-06 1.00e+00 2.536868143e+02 2.536870392e+02 5.3e-11 0.74
78 8.1e-08 2.3e-04 5.3e-06 1.00e+00 2.536868303e+02 2.536870328e+02 4.8e-11 0.75
79 7.3e-08 2.0e-04 4.8e-06 1.00e+00 2.536868448e+02 2.536870270e+02 4.3e-11 0.75
80 6.6e-08 1.8e-04 4.3e-06 1.00e+00 2.536868578e+02 2.536870217e+02 3.9e-11 0.76
81 5.9e-08 1.6e-04 3.9e-06 1.00e+00 2.536868695e+02 2.536870170e+02 3.5e-11 0.77
82 5.3e-08 1.5e-04 3.5e-06 1.00e+00 2.536868800e+02 2.536870128e+02 3.1e-11 0.78
83 4.8e-08 1.3e-04 3.1e-06 1.00e+00 2.536868894e+02 2.536870090e+02 2.8e-11 0.79
84 4.3e-08 1.2e-04 2.8e-06 1.00e+00 2.536868980e+02 2.536870056e+02 2.5e-11 0.79
85 3.9e-08 1.1e-04 2.5e-06 1.00e+00 2.536869056e+02 2.536870025e+02 2.3e-11 0.80
86 3.5e-08 9.7e-05 2.3e-06 1.00e+00 2.536869125e+02 2.536869997e+02 2.1e-11 0.81
87 3.1e-08 8.7e-05 2.0e-06 1.00e+00 2.536869188e+02 2.536869972e+02 1.9e-11 0.82
88 2.8e-08 7.8e-05 1.8e-06 1.00e+00 2.536869243e+02 2.536869949e+02 1.7e-11 0.83
89 2.6e-08 7.1e-05 1.7e-06 1.00e+00 2.536869294e+02 2.536869929e+02 1.5e-11 0.84
90 2.3e-08 6.4e-05 1.5e-06 1.00e+00 2.536869339e+02 2.536869911e+02 1.3e-11 0.85
91 2.1e-08 5.7e-05 1.3e-06 1.00e+00 2.536869380e+02 2.536869894e+02 1.2e-11 0.85
92 1.9e-08 5.1e-05 1.2e-06 9.99e-01 2.536869416e+02 2.536869880e+02 1.1e-11 0.86
93 1.7e-08 4.6e-05 1.1e-06 1.00e+00 2.536869449e+02 2.536869866e+02 9.8e-12 0.87
94 1.5e-08 4.2e-05 9.8e-07 1.00e+00 2.536869479e+02 2.536869854e+02 8.9e-12 0.88
95 1.4e-08 3.8e-05 8.8e-07 1.00e+00 2.536869506e+02 2.536869843e+02 8.0e-12 0.89
96 1.2e-08 3.4e-05 7.9e-07 1.00e+00 2.536869530e+02 2.536869834e+02 7.2e-12 0.89
Optimizer terminated. Time: 0.90
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695299e+02 nrm: 4e+01 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698338e+02 nrm: 8e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 0.924 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
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. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
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.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
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 : 1.48e+04 after factor : 1.48e+05
Factor - dense dim. : 0 flops : 2.93e+07
Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.237120597e+05 2.000000000e+00 1.0e+00 0.04
1 1.6e+03 2.5e+03 8.6e+04 -9.71e-01 -1.228589965e+05 2.751831010e+00 7.0e-01 0.05
2 7.9e+02 1.2e+03 4.3e+04 -9.57e-01 -1.201055617e+05 5.326974937e+00 3.5e-01 0.06
3 3.0e+02 4.7e+02 1.6e+04 -9.12e-01 -1.116972905e+05 2.210725287e+01 1.3e-01 0.08
4 2.9e+02 4.7e+02 1.6e+04 -7.71e-01 -1.098007288e+05 1.669805666e+03 1.3e-01 0.09
5 1.2e+02 2.0e+02 6.8e+03 -7.63e-01 -8.914530211e+04 6.028487627e+03 5.5e-02 0.10
6 3.9e+01 6.2e+01 2.1e+03 -4.65e-01 -4.731075280e+04 1.101859429e+04 1.7e-02 0.11
7 2.3e+01 3.6e+01 1.2e+03 2.31e-01 -3.188986622e+04 7.305151537e+03 1.0e-02 0.12
8 9.1e+00 1.4e+01 4.9e+02 5.19e-01 -1.390726678e+04 3.970193410e+03 4.0e-03 0.12
9 6.1e+00 9.6e+00 3.3e+02 8.31e-01 -9.268556419e+03 2.859448056e+03 2.7e-03 0.13
10 2.1e+00 3.3e+00 1.2e+02 9.02e-01 -3.163867678e+03 1.208066659e+03 9.4e-04 0.14
11 1.5e+00 2.4e+00 8.2e+01 9.76e-01 -2.158354396e+03 9.713866924e+02 6.7e-04 0.15
12 8.2e-01 1.4e+00 4.5e+01 9.80e-01 -1.092111068e+03 6.286525202e+02 3.7e-04 0.16
13 4.2e-01 8.1e-01 2.3e+01 9.88e-01 -4.661197429e+02 4.147126547e+02 1.9e-04 0.17
14 2.0e-01 3.9e-01 1.1e+01 1.00e+00 -1.249220987e+02 2.924420143e+02 9.0e-05 0.17
15 7.1e-02 1.6e-01 4.0e+00 1.00e+00 6.301524973e+01 2.167838530e+02 3.4e-05 0.18
16 2.8e-02 1.2e-01 1.6e+00 1.01e+00 1.288290682e+02 1.894676038e+02 1.3e-05 0.19
17 9.0e-03 1.1e-01 5.3e-01 1.01e+00 1.578773200e+02 1.781360078e+02 4.6e-06 0.19
18 3.5e-03 9.5e-02 2.1e-01 1.00e+00 1.667254586e+02 1.745981914e+02 1.8e-06 0.20
19 8.9e-04 1.2e-01 5.5e-02 9.96e-01 1.708742732e+02 1.729794156e+02 4.9e-07 0.21
20 3.2e-04 9.8e-02 2.0e-02 9.84e-01 1.718440948e+02 1.726232491e+02 1.8e-07 0.22
21 1.3e-04 9.3e-02 8.1e-03 9.96e-01 1.721840324e+02 1.724937389e+02 7.2e-08 0.23
22 4.6e-05 9.0e-02 3.0e-03 9.80e-01 1.723224558e+02 1.724367754e+02 2.7e-08 0.23
23 4.2e-05 8.8e-02 2.7e-03 9.92e-01 1.723310420e+02 1.724347821e+02 2.4e-08 0.24
24 4.1e-05 8.5e-02 2.6e-03 9.83e-01 1.723333827e+02 1.724335011e+02 2.3e-08 0.25
25 3.0e-05 8.4e-02 2.0e-03 9.27e-01 1.723515646e+02 1.724203243e+02 1.7e-08 0.26
26 1.2e-05 6.4e-02 8.3e-04 5.08e-01 1.723804253e+02 1.724123065e+02 7.6e-09 0.27
27 1.1e-05 5.8e-02 7.7e-04 8.67e-01 1.723842833e+02 1.724130215e+02 7.0e-09 0.28
28 1.0e-05 5.5e-02 7.0e-04 1.00e+00 1.723862088e+02 1.724122141e+02 6.4e-09 0.28
29 9.1e-06 5.0e-02 6.3e-04 1.00e+00 1.723880259e+02 1.724114281e+02 5.7e-09 0.29
30 8.2e-06 4.6e-02 5.7e-04 1.00e+00 1.723896607e+02 1.724107219e+02 5.2e-09 0.30
31 7.4e-06 4.2e-02 5.1e-04 1.00e+00 1.723911307e+02 1.724100853e+02 4.7e-09 0.31
32 6.7e-06 3.9e-02 4.6e-04 1.00e+00 1.723924532e+02 1.724095118e+02 4.2e-09 0.32
33 6.0e-06 3.5e-02 4.1e-04 1.00e+00 1.723936429e+02 1.724089953e+02 3.8e-09 0.32
34 5.4e-06 3.3e-02 3.7e-04 1.00e+00 1.723947132e+02 1.724085300e+02 3.4e-09 0.33
35 4.9e-06 3.0e-02 3.4e-04 1.00e+00 1.723956761e+02 1.724081109e+02 3.1e-09 0.34
36 4.4e-06 2.8e-02 3.0e-04 1.00e+00 1.723965424e+02 1.724077335e+02 2.7e-09 0.35
37 3.9e-06 2.6e-02 2.7e-04 1.00e+00 1.723973218e+02 1.724073936e+02 2.5e-09 0.36
38 3.5e-06 2.4e-02 2.4e-04 1.00e+00 1.723980230e+02 1.724070875e+02 2.2e-09 0.37
39 3.2e-06 2.2e-02 2.2e-04 1.00e+00 1.723986539e+02 1.724068118e+02 2.0e-09 0.37
40 2.9e-06 2.1e-02 2.0e-04 1.00e+00 1.723992216e+02 1.724065636e+02 1.8e-09 0.39
41 2.6e-06 2.0e-02 1.8e-04 1.00e+00 1.723997324e+02 1.724063401e+02 1.6e-09 0.40
42 2.3e-06 1.8e-02 1.6e-04 1.00e+00 1.724001920e+02 1.724061388e+02 1.5e-09 0.41
43 2.1e-06 1.7e-02 1.4e-04 1.00e+00 1.724006056e+02 1.724059576e+02 1.3e-09 0.42
44 1.9e-06 1.6e-02 1.3e-04 1.00e+00 1.724009777e+02 1.724057945e+02 1.2e-09 0.43
45 1.7e-06 1.6e-02 1.2e-04 1.00e+00 1.724013125e+02 1.724056476e+02 1.1e-09 0.43
46 1.5e-06 1.5e-02 1.1e-04 1.00e+00 1.724016138e+02 1.724055153e+02 9.6e-10 0.44
47 1.4e-06 1.4e-02 9.5e-05 1.00e+00 1.724018849e+02 1.724053962e+02 8.6e-10 0.45
48 1.2e-06 1.3e-02 8.5e-05 1.00e+00 1.724021289e+02 1.724052890e+02 7.8e-10 0.46
49 1.1e-06 1.3e-02 7.7e-05 1.00e+00 1.724023484e+02 1.724051925e+02 7.0e-10 0.47
50 1.0e-06 1.2e-02 6.9e-05 1.00e+00 1.724025459e+02 1.724051056e+02 6.3e-10 0.48
51 9.0e-07 1.2e-02 6.2e-05 1.00e+00 1.724027237e+02 1.724050274e+02 5.7e-10 0.49
52 8.1e-07 1.1e-02 5.6e-05 1.00e+00 1.724028836e+02 1.724049570e+02 5.1e-10 0.49
53 7.3e-07 1.1e-02 5.0e-05 1.00e+00 1.724030276e+02 1.724048936e+02 4.6e-10 0.50
54 6.6e-07 1.1e-02 4.5e-05 1.00e+00 1.724031571e+02 1.724048365e+02 4.1e-10 0.51
55 5.9e-07 1.0e-02 4.1e-05 1.00e+00 1.724032737e+02 1.724047851e+02 3.7e-10 0.52
56 5.3e-07 1.0e-02 3.7e-05 1.00e+00 1.724033785e+02 1.724047388e+02 3.3e-10 0.53
57 4.8e-07 9.9e-03 3.3e-05 1.00e+00 1.724034729e+02 1.724046972e+02 3.0e-10 0.53
58 4.3e-07 9.7e-03 3.0e-05 1.00e+00 1.724035579e+02 1.724046597e+02 2.7e-10 0.54
59 3.9e-07 9.5e-03 2.7e-05 1.00e+00 1.724036343e+02 1.724046259e+02 2.4e-10 0.55
60 3.5e-07 9.3e-03 2.4e-05 1.00e+00 1.724037031e+02 1.724045956e+02 2.2e-10 0.56
61 3.1e-07 9.2e-03 2.2e-05 1.00e+00 1.724037650e+02 1.724045682e+02 2.0e-10 0.57
62 2.8e-07 9.0e-03 1.9e-05 1.00e+00 1.724038206e+02 1.724045436e+02 1.8e-10 0.58
63 2.5e-07 8.9e-03 1.8e-05 1.00e+00 1.724038708e+02 1.724045214e+02 1.6e-10 0.59
64 2.3e-07 8.7e-03 1.6e-05 1.00e+00 1.724039159e+02 1.724045014e+02 1.4e-10 0.60
65 2.1e-07 8.6e-03 1.4e-05 9.99e-01 1.724039565e+02 1.724044834e+02 1.3e-10 0.62
66 1.9e-07 8.5e-03 1.3e-05 1.00e+00 1.724039930e+02 1.724044673e+02 1.2e-10 0.63
67 1.7e-07 8.4e-03 1.2e-05 1.00e+00 1.724040259e+02 1.724044527e+02 1.0e-10 0.64
68 1.5e-07 8.4e-03 1.0e-05 9.97e-01 1.724040554e+02 1.724044396e+02 9.4e-11 0.65
69 1.4e-07 8.3e-03 9.3e-06 1.00e+00 1.724040820e+02 1.724044278e+02 8.5e-11 0.66
70 1.2e-07 8.2e-03 8.4e-06 9.99e-01 1.724041060e+02 1.724044171e+02 7.7e-11 0.67
71 1.1e-07 8.1e-03 7.6e-06 9.98e-01 1.724041276e+02 1.724044076e+02 6.9e-11 0.68
72 9.9e-08 8.1e-03 6.8e-06 1.00e+00 1.724041470e+02 1.724043989e+02 6.2e-11 0.69
73 8.9e-08 8.0e-03 6.1e-06 9.99e-01 1.724041644e+02 1.724043912e+02 5.6e-11 0.70
74 8.0e-08 7.2e-03 5.5e-06 1.01e+00 1.724041806e+02 1.724043840e+02 5.0e-11 0.70
75 7.2e-08 6.5e-03 5.0e-06 1.00e+00 1.724041947e+02 1.724043777e+02 4.5e-11 0.71
76 6.5e-08 5.9e-03 4.5e-06 9.99e-01 1.724042074e+02 1.724043721e+02 4.1e-11 0.72
77 5.8e-08 5.3e-03 4.0e-06 9.93e-01 1.724042188e+02 1.724043672e+02 3.7e-11 0.73
78 5.3e-08 4.8e-03 3.6e-06 1.00e+00 1.724042291e+02 1.724043626e+02 3.3e-11 0.73
79 4.8e-08 4.3e-03 3.3e-06 9.90e-01 1.724042383e+02 1.724043586e+02 3.0e-11 0.74
80 4.3e-08 3.8e-03 2.9e-06 1.03e+00 1.724042478e+02 1.724043542e+02 2.7e-11 0.75
81 3.8e-08 3.5e-03 2.6e-06 9.79e-01 1.724042552e+02 1.724043509e+02 2.4e-11 0.76
82 3.4e-08 3.1e-03 2.4e-06 1.02e+00 1.724042624e+02 1.724043476e+02 2.2e-11 0.78
83 3.1e-08 2.8e-03 2.1e-06 1.03e+00 1.724042690e+02 1.724043446e+02 2.0e-11 0.79
84 2.8e-08 2.5e-03 1.9e-06 9.12e-01 1.724042743e+02 1.724043422e+02 1.8e-11 0.80
85 4.5e-08 2.3e-03 1.7e-06 1.19e+00 1.724042829e+02 1.724043382e+02 1.8e-11 0.81
86 3.7e-08 2.0e-03 1.6e-06 1.04e+00 1.724042873e+02 1.724043365e+02 1.7e-11 0.82
87 2.2e-08 4.8e-04 3.7e-07 1.05e+00 1.724043138e+02 1.724043253e+02 4.2e-12 0.84
88 4.1e-08 2.2e-04 1.6e-07 2.36e-01 1.724043176e+02 1.724043220e+02 1.3e-12 0.85
89 2.9e-08 1.9e-04 1.5e-07 1.99e+00 1.724043178e+02 1.724043221e+02 1.2e-12 0.86
90 2.8e-08 1.7e-04 1.3e-07 8.57e-01 1.724043184e+02 1.724043219e+02 1.0e-12 0.87
91 3.0e-08 1.5e-04 1.1e-07 1.29e+00 1.724043178e+02 1.724043232e+02 8.8e-13 0.88
Optimizer terminated. Time: 0.88
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.7240431778e+02 nrm: 4e+01 Viol. con: 9e-07 var: 0e+00
Dual. obj: 1.7240432322e+02 nrm: 8e+02 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 0.915 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
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. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
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.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
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 : 1.48e+04 after factor : 1.48e+05
Factor - dense dim. : 0 flops : 2.93e+07
Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.238236350e+05 2.000000000e+00 1.0e+00 0.03
1 1.6e+03 2.6e+03 8.9e+04 -9.71e-01 -1.230656737e+05 2.647019465e+00 7.2e-01 0.04
2 8.5e+02 1.3e+03 4.6e+04 -9.59e-01 -1.206096807e+05 4.826231613e+00 3.7e-01 0.05
3 2.9e+02 4.6e+02 1.6e+04 -9.19e-01 -1.118497077e+05 2.029621091e+01 1.3e-01 0.06
4 2.9e+02 4.6e+02 1.6e+04 -7.73e-01 -1.097490525e+05 1.850586108e+03 1.3e-01 0.06
5 1.2e+02 2.0e+02 6.7e+03 -7.63e-01 -8.916030429e+04 6.085082524e+03 5.5e-02 0.07
6 4.4e+01 6.9e+01 2.4e+03 -4.64e-01 -5.177804334e+04 1.031145337e+04 1.9e-02 0.08
7 2.6e+01 4.1e+01 1.4e+03 1.59e-01 -3.543323189e+04 7.187062739e+03 1.1e-02 0.09
8 1.3e+01 2.0e+01 6.9e+02 4.65e-01 -1.929026185e+04 4.600188328e+03 5.6e-03 0.09
9 4.5e+00 7.1e+00 2.4e+02 7.44e-01 -6.918526178e+03 2.202933527e+03 2.0e-03 0.10
10 3.2e+00 5.1e+00 1.8e+02 9.39e-01 -4.934163409e+03 1.735951750e+03 1.5e-03 0.11
11 1.1e+00 1.7e+00 6.0e+01 9.62e-01 -1.562948083e+03 7.020582355e+02 4.9e-04 0.12
12 8.7e-01 1.4e+00 4.8e+01 9.87e-01 -1.217636151e+03 6.233488377e+02 3.9e-04 0.12
13 7.0e-01 1.2e+00 3.9e+01 9.68e-01 -9.661564015e+02 5.337666482e+02 3.2e-04 0.13
14 3.7e-01 6.1e-01 2.0e+01 9.89e-01 -3.985115606e+02 3.850483742e+02 1.7e-04 0.14
15 1.9e-01 3.2e-01 1.1e+01 9.96e-01 -1.412662595e+02 2.691767565e+02 8.8e-05 0.14
16 8.6e-02 1.7e-01 4.8e+00 1.00e+00 1.778207455e+01 2.044312768e+02 4.0e-05 0.15
17 7.8e-02 1.6e-01 4.4e+00 1.01e+00 3.927330071e+01 2.075518436e+02 3.6e-05 0.16
18 3.1e-02 9.1e-02 1.7e+00 1.01e+00 1.160421338e+02 1.824337014e+02 1.4e-05 0.17
19 1.4e-02 1.2e-01 7.7e-01 1.02e+00 1.451390072e+02 1.745459003e+02 6.4e-06 0.17
20 6.5e-03 4.2e-01 3.7e-01 1.01e+00 1.561700198e+02 1.702886893e+02 3.1e-06 0.18
21 2.1e-03 1.6e-01 1.3e-01 1.01e+00 1.635809429e+02 1.683332990e+02 1.1e-06 0.19
22 1.7e-03 1.3e-01 9.8e-02 1.01e+00 1.644225804e+02 1.681013974e+02 8.2e-07 0.20
23 6.6e-04 9.4e-02 4.0e-02 1.01e+00 1.660456798e+02 1.675261264e+02 3.4e-07 0.20
24 4.1e-04 7.6e-02 2.4e-02 1.01e+00 1.664525288e+02 1.673655646e+02 2.1e-07 0.21
25 3.7e-04 7.0e-02 2.2e-02 1.01e+00 1.665206591e+02 1.673421416e+02 1.9e-07 0.22
26 3.3e-04 6.3e-02 2.0e-02 1.01e+00 1.665794090e+02 1.673184976e+02 1.7e-07 0.23
27 3.0e-04 5.8e-02 1.8e-02 1.01e+00 1.666325754e+02 1.672975734e+02 1.5e-07 0.23
28 2.7e-04 5.3e-02 1.6e-02 1.01e+00 1.666802184e+02 1.672785665e+02 1.4e-07 0.24
29 2.4e-04 4.8e-02 1.4e-02 1.01e+00 1.667229548e+02 1.672613467e+02 1.2e-07 0.25
30 2.2e-04 4.4e-02 1.3e-02 1.01e+00 1.667612707e+02 1.672457248e+02 1.1e-07 0.26
31 1.9e-04 4.1e-02 1.2e-02 1.01e+00 1.667956243e+02 1.672315526e+02 1.0e-07 0.27
32 1.8e-04 3.7e-02 1.1e-02 1.01e+00 1.668264232e+02 1.672186933e+02 9.0e-08 0.28
33 1.6e-04 3.4e-02 9.5e-03 1.01e+00 1.668540348e+02 1.672070251e+02 8.1e-08 0.29
34 1.4e-04 3.2e-02 8.5e-03 1.00e+00 1.668787897e+02 1.671964382e+02 7.3e-08 0.30
35 1.3e-04 2.9e-02 7.7e-03 1.00e+00 1.669009849e+02 1.671868358e+02 6.6e-08 0.31
36 1.2e-04 2.7e-02 6.9e-03 1.00e+00 1.669208870e+02 1.671781271e+02 5.9e-08 0.31
37 1.0e-04 2.5e-02 6.2e-03 1.00e+00 1.669387360e+02 1.671702309e+02 5.3e-08 0.32
38 9.3e-05 2.3e-02 5.6e-03 1.00e+00 1.669547475e+02 1.671630747e+02 4.8e-08 0.33
39 8.4e-05 2.2e-02 5.0e-03 1.00e+00 1.669691132e+02 1.671565940e+02 4.3e-08 0.34
40 7.5e-05 2.0e-02 4.5e-03 1.00e+00 1.669820037e+02 1.671507256e+02 3.9e-08 0.34
41 6.8e-05 1.9e-02 4.1e-03 1.00e+00 1.669935725e+02 1.671454125e+02 3.5e-08 0.35
42 6.1e-05 1.8e-02 3.7e-03 1.00e+00 1.670039573e+02 1.671406082e+02 3.1e-08 0.36
43 5.5e-05 1.7e-02 3.3e-03 1.00e+00 1.670132789e+02 1.671362608e+02 2.8e-08 0.36
44 5.0e-05 1.6e-02 3.0e-03 1.00e+00 1.670216485e+02 1.671323292e+02 2.5e-08 0.37
45 4.5e-05 1.5e-02 2.7e-03 1.00e+00 1.670291639e+02 1.671287745e+02 2.3e-08 0.38
46 4.0e-05 1.5e-02 2.4e-03 1.00e+00 1.670359132e+02 1.671255600e+02 2.1e-08 0.39
47 3.6e-05 1.4e-02 2.2e-03 1.00e+00 1.670419753e+02 1.671226558e+02 1.9e-08 0.39
48 3.2e-05 1.3e-02 2.0e-03 1.00e+00 1.670474206e+02 1.671200297e+02 1.7e-08 0.40
49 2.9e-05 1.3e-02 1.8e-03 1.00e+00 1.670523127e+02 1.671176570e+02 1.5e-08 0.41
50 2.6e-05 1.2e-02 1.6e-03 1.00e+00 1.670567081e+02 1.671155162e+02 1.4e-08 0.41
51 2.4e-05 1.2e-02 1.4e-03 1.00e+00 1.670606568e+02 1.671135837e+02 1.2e-08 0.42
52 2.1e-05 1.2e-02 1.3e-03 1.00e+00 1.670642048e+02 1.671118395e+02 1.1e-08 0.43
53 1.9e-05 1.1e-02 1.2e-03 1.00e+00 1.670673932e+02 1.671102652e+02 9.9e-09 0.44
54 1.7e-05 1.1e-02 1.0e-03 1.00e+00 1.670702588e+02 1.671088431e+02 8.9e-09 0.45
55 1.6e-05 1.1e-02 9.4e-04 1.00e+00 1.670728345e+02 1.671075617e+02 8.0e-09 0.45
56 1.4e-05 1.1e-02 8.4e-04 1.00e+00 1.670751497e+02 1.671064039e+02 7.2e-09 0.46
57 1.3e-05 1.0e-02 7.6e-04 1.00e+00 1.670772310e+02 1.671053606e+02 6.5e-09 0.47
58 1.1e-05 1.0e-02 6.8e-04 1.00e+00 1.670791022e+02 1.671044185e+02 5.8e-09 0.47
59 1.0e-05 1.0e-02 6.1e-04 1.00e+00 1.670807846e+02 1.671035703e+02 5.2e-09 0.48
60 9.2e-06 9.8e-03 5.5e-04 1.00e+00 1.670822972e+02 1.671028046e+02 4.7e-09 0.49
61 8.3e-06 9.6e-03 5.0e-04 1.00e+00 1.670836577e+02 1.671021134e+02 4.3e-09 0.50
62 7.4e-06 9.5e-03 4.5e-04 1.00e+00 1.670848812e+02 1.671014903e+02 3.8e-09 0.51
63 6.7e-06 9.4e-03 4.0e-04 1.00e+00 1.670859815e+02 1.671009293e+02 3.4e-09 0.52
64 6.0e-06 9.3e-03 3.6e-04 1.00e+00 1.670869709e+02 1.671004242e+02 3.1e-09 0.53
65 5.4e-06 9.2e-03 3.3e-04 9.99e-01 1.670878607e+02 1.670999696e+02 2.8e-09 0.53
66 2.1e-06 3.5e-03 1.3e-04 1.00e+00 1.670927599e+02 1.670974336e+02 1.1e-09 0.54
67 8.4e-07 1.4e-03 5.1e-05 1.00e+00 1.670945910e+02 1.670964807e+02 4.3e-10 0.55
68 7.6e-07 1.3e-03 4.6e-05 9.76e-01 1.670947193e+02 1.670964216e+02 3.9e-10 0.56
69 6.8e-07 1.2e-03 4.1e-05 9.78e-01 1.670948304e+02 1.670963642e+02 3.5e-10 0.57
70 6.1e-07 1.0e-03 3.7e-05 1.01e+00 1.670949327e+02 1.670963100e+02 3.2e-10 0.58
71 5.5e-07 9.3e-04 3.3e-05 1.01e+00 1.670950269e+02 1.670962602e+02 2.9e-10 0.58
72 5.0e-07 8.4e-04 3.0e-05 9.98e-01 1.670951078e+02 1.670962181e+02 2.6e-10 0.59
73 4.5e-07 7.6e-04 2.7e-05 1.00e+00 1.670951806e+02 1.670961797e+02 2.3e-10 0.60
74 4.0e-07 6.8e-04 2.4e-05 9.62e-01 1.670952457e+02 1.670961466e+02 2.1e-10 0.62
75 3.6e-07 6.1e-04 2.2e-05 1.00e+00 1.670953048e+02 1.670961152e+02 1.9e-10 0.62
76 3.3e-07 5.5e-04 2.0e-05 9.47e-01 1.670953574e+02 1.670960887e+02 1.7e-10 0.63
77 2.9e-07 5.0e-04 1.8e-05 9.83e-01 1.670954049e+02 1.670960640e+02 1.5e-10 0.64
78 2.6e-07 4.5e-04 1.6e-05 9.72e-01 1.670954477e+02 1.670960418e+02 1.4e-10 0.65
79 2.4e-07 4.0e-04 1.4e-05 9.74e-01 1.670954862e+02 1.670960216e+02 1.2e-10 0.65
80 2.1e-07 3.6e-04 1.3e-05 1.11e+00 1.670955379e+02 1.670959913e+02 1.2e-10 0.66
81 1.9e-07 3.3e-04 1.2e-05 1.05e+00 1.670955741e+02 1.670959712e+02 1.1e-10 0.67
82 1.7e-07 2.9e-04 1.1e-05 9.00e-01 1.670955997e+02 1.670959587e+02 9.7e-11 0.67
83 1.6e-07 2.6e-04 9.5e-06 9.56e-01 1.670956230e+02 1.670959468e+02 8.8e-11 0.68
84 1.4e-07 2.4e-04 8.5e-06 1.26e+00 1.670956449e+02 1.670959326e+02 7.9e-11 0.69
85 1.3e-07 2.1e-04 7.7e-06 1.02e+00 1.670956658e+02 1.670959215e+02 7.2e-11 0.70
86 1.1e-07 1.9e-04 6.9e-06 9.32e-01 1.670956824e+02 1.670959135e+02 6.5e-11 0.70
87 1.0e-07 1.7e-04 6.2e-06 9.84e-01 1.670956975e+02 1.670959055e+02 5.8e-11 0.71
88 9.2e-08 1.6e-04 5.6e-06 8.13e-01 1.670957107e+02 1.670958999e+02 5.2e-11 0.72
89 8.3e-08 1.4e-04 5.0e-06 8.80e-01 1.670957228e+02 1.670958941e+02 4.7e-11 0.73
90 7.6e-08 1.3e-04 4.5e-06 7.53e-01 1.670957335e+02 1.670958896e+02 4.2e-11 0.73
91 6.9e-08 1.1e-04 4.1e-06 7.15e-01 1.670957432e+02 1.670958858e+02 3.8e-11 0.74
92 6.1e-08 1.0e-04 3.7e-06 1.47e+00 1.670957529e+02 1.670958781e+02 3.4e-11 0.75
93 5.5e-08 9.2e-05 3.3e-06 8.63e-01 1.670957608e+02 1.670958741e+02 3.1e-11 0.76
94 4.9e-08 8.3e-05 3.0e-06 1.22e+00 1.670957685e+02 1.670958690e+02 2.8e-11 0.77
95 4.4e-08 7.5e-05 2.7e-06 1.18e+00 1.670957803e+02 1.670958618e+02 2.7e-11 0.77
96 4.3e-08 6.7e-05 2.4e-06 1.10e+00 1.670957883e+02 1.670958574e+02 2.6e-11 0.78
97 1.3e-07 6.5e-05 2.3e-06 2.34e+01 1.670957954e+02 1.670958412e+02 1.9e-11 0.79
98 1.2e-07 5.8e-05 2.1e-06 2.38e+00 1.670958013e+02 1.670958392e+02 1.7e-11 0.79
99 1.1e-07 5.3e-05 1.9e-06 9.21e-01 1.670958045e+02 1.670958387e+02 1.5e-11 0.80
100 1.0e-07 4.7e-05 1.7e-06 1.01e+00 1.670958077e+02 1.670958382e+02 1.4e-11 0.81
101 9.1e-08 4.3e-05 1.5e-06 9.95e-01 1.670958104e+02 1.670958377e+02 1.2e-11 0.81
102 8.1e-08 3.8e-05 1.4e-06 1.62e+00 1.670958132e+02 1.670958371e+02 1.1e-11 0.82
103 7.4e-08 3.5e-05 1.2e-06 1.22e+00 1.670958154e+02 1.670958367e+02 1.0e-11 0.83
Optimizer terminated. Time: 0.83
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6709581541e+02 nrm: 2e+01 Viol. con: 1e-06 var: 0e+00
Dual. obj: 1.6709583675e+02 nrm: 9e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 0.859 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
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. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
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.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
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 : 0.01
Factor - nonzeros before factor : 1.48e+04 after factor : 1.48e+05
Factor - dense dim. : 0 flops : 2.93e+07
Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.237491052e+05 2.000000000e+00 1.0e+00 0.03
1 1.7e+03 2.6e+03 9.0e+04 -9.71e-01 -1.230051622e+05 2.628714936e+00 7.2e-01 0.04
2 8.7e+02 1.4e+03 4.7e+04 -9.59e-01 -1.206769287e+05 4.656932367e+00 3.8e-01 0.05
3 2.9e+02 4.6e+02 1.6e+04 -9.21e-01 -1.117660642e+05 2.006454280e+01 1.3e-01 0.06
4 2.9e+02 4.6e+02 1.6e+04 -7.73e-01 -1.095928583e+05 1.917273339e+03 1.3e-01 0.07
5 1.2e+02 1.9e+02 6.5e+03 -7.63e-01 -8.815406305e+04 6.301964476e+03 5.3e-02 0.08
6 4.0e+01 6.3e+01 2.2e+03 -4.50e-01 -4.810694490e+04 1.098450134e+04 1.8e-02 0.08
7 2.5e+01 3.9e+01 1.3e+03 2.23e-01 -3.417995100e+04 7.471100510e+03 1.1e-02 0.09
8 1.2e+01 1.9e+01 6.5e+02 4.89e-01 -1.841437506e+04 4.250327359e+03 5.3e-03 0.10
9 3.9e+00 6.2e+00 2.1e+02 7.62e-01 -6.079617169e+03 2.004072841e+03 1.8e-03 0.10
10 2.3e+00 3.6e+00 1.2e+02 9.51e-01 -3.348709564e+03 1.369385886e+03 1.0e-03 0.11
11 9.6e-01 1.5e+00 5.3e+01 9.83e-01 -1.341473639e+03 6.716781476e+02 4.4e-04 0.12
12 7.9e-01 1.3e+00 4.4e+01 9.79e-01 -1.108501626e+03 5.799282710e+02 3.6e-04 0.12
13 7.5e-01 1.2e+00 4.1e+01 9.86e-01 -1.026923381e+03 5.623532525e+02 3.4e-04 0.13
14 2.6e-01 4.5e-01 1.5e+01 9.85e-01 -2.677966215e+02 2.992138734e+02 1.2e-04 0.14
15 1.2e-01 3.5e-01 6.6e+00 1.01e+00 -3.926603929e+01 2.146631657e+02 5.5e-05 0.14
16 1.1e-01 3.3e-01 6.0e+00 1.01e+00 -1.198752865e+01 2.196214563e+02 5.0e-05 0.15
17 8.7e-02 4.3e-01 4.9e+00 1.01e+00 1.945767868e+01 2.094440827e+02 4.2e-05 0.16
18 3.7e-02 1.9e-01 2.1e+00 1.01e+00 1.045391567e+02 1.838693347e+02 1.7e-05 0.17
19 9.9e-03 1.9e-01 5.7e-01 1.02e+00 1.505055784e+02 1.721489517e+02 4.8e-06 0.17
20 3.9e-03 1.6e-01 2.3e-01 1.01e+00 1.603048687e+02 1.688286538e+02 1.9e-06 0.18
21 1.8e-03 9.1e-02 1.1e-01 1.01e+00 1.636747889e+02 1.677018607e+02 9.1e-07 0.19
22 6.6e-04 9.6e-02 4.0e-02 1.01e+00 1.655620826e+02 1.670587271e+02 3.4e-07 0.20
23 2.5e-04 9.7e-02 1.5e-02 1.01e+00 1.662322259e+02 1.668083553e+02 1.3e-07 0.21
24 2.3e-04 8.9e-02 1.4e-02 1.01e+00 1.662772825e+02 1.667957045e+02 1.2e-07 0.22
25 2.0e-04 8.1e-02 1.3e-02 1.01e+00 1.663139499e+02 1.667803791e+02 1.1e-07 0.23
26 1.8e-04 7.4e-02 1.1e-02 1.01e+00 1.663470167e+02 1.667666725e+02 9.7e-08 0.23
27 1.7e-04 6.7e-02 1.0e-02 1.01e+00 1.663766562e+02 1.667542395e+02 8.7e-08 0.24
28 1.5e-04 6.1e-02 9.1e-03 1.01e+00 1.664032653e+02 1.667430022e+02 7.9e-08 0.25
29 1.3e-04 5.6e-02 8.2e-03 1.01e+00 1.664271496e+02 1.667328408e+02 7.1e-08 0.26
30 1.2e-04 5.1e-02 7.4e-03 1.01e+00 1.664485904e+02 1.667236538e+02 6.4e-08 0.26
31 1.1e-04 4.7e-02 6.7e-03 1.01e+00 1.664678389e+02 1.667153482e+02 5.7e-08 0.27
32 9.8e-05 4.3e-02 6.0e-03 1.01e+00 1.664851201e+02 1.667078397e+02 5.2e-08 0.28
33 8.8e-05 3.9e-02 5.4e-03 1.00e+00 1.665006361e+02 1.667010524e+02 4.7e-08 0.28
34 7.9e-05 3.6e-02 4.9e-03 1.00e+00 1.665145680e+02 1.666949173e+02 4.2e-08 0.29
35 7.1e-05 3.3e-02 4.4e-03 1.00e+00 1.665270781e+02 1.666893721e+02 3.8e-08 0.30
36 6.4e-05 3.1e-02 3.9e-03 1.00e+00 1.665383122e+02 1.666843604e+02 3.4e-08 0.30
37 5.8e-05 2.9e-02 3.5e-03 1.00e+00 1.665484010e+02 1.666798312e+02 3.1e-08 0.31
38 5.2e-05 2.6e-02 3.2e-03 1.00e+00 1.665574617e+02 1.666757384e+02 2.7e-08 0.32
39 4.7e-05 2.5e-02 2.9e-03 1.00e+00 1.665655996e+02 1.666720402e+02 2.5e-08 0.33
40 4.2e-05 2.3e-02 2.6e-03 1.00e+00 1.665729091e+02 1.666686989e+02 2.2e-08 0.33
41 3.8e-05 2.1e-02 2.3e-03 1.00e+00 1.665794749e+02 1.666656804e+02 2.0e-08 0.34
42 3.4e-05 2.0e-02 2.1e-03 1.00e+00 1.665853730e+02 1.666629538e+02 1.8e-08 0.35
43 3.1e-05 1.9e-02 1.9e-03 1.00e+00 1.665906717e+02 1.666604911e+02 1.6e-08 0.36
44 2.8e-05 1.8e-02 1.7e-03 1.00e+00 1.665954321e+02 1.666582670e+02 1.5e-08 0.37
45 2.5e-05 1.7e-02 1.5e-03 1.00e+00 1.665997093e+02 1.666562586e+02 1.3e-08 0.37
46 2.2e-05 1.6e-02 1.4e-03 1.00e+00 1.666035525e+02 1.666544453e+02 1.2e-08 0.38
47 2.0e-05 1.5e-02 1.2e-03 1.00e+00 1.666070060e+02 1.666528083e+02 1.1e-08 0.39
48 1.8e-05 1.4e-02 1.1e-03 1.00e+00 1.666101095e+02 1.666513306e+02 9.6e-09 0.40
49 1.6e-05 1.4e-02 1.0e-03 1.00e+00 1.666128986e+02 1.666499970e+02 8.6e-09 0.40
50 1.5e-05 1.3e-02 9.0e-04 1.00e+00 1.666154055e+02 1.666487934e+02 7.8e-09 0.41
51 1.3e-05 1.3e-02 8.1e-04 1.00e+00 1.666176587e+02 1.666477075e+02 7.0e-09 0.42
52 1.2e-05 1.2e-02 7.3e-04 1.00e+00 1.666196841e+02 1.666467277e+02 6.3e-09 0.42
53 1.1e-05 1.2e-02 6.6e-04 1.00e+00 1.666215048e+02 1.666458439e+02 5.7e-09 0.43
54 9.6e-06 1.2e-02 5.9e-04 1.00e+00 1.666231416e+02 1.666450466e+02 5.1e-09 0.44
55 8.7e-06 1.1e-02 5.3e-04 1.00e+00 1.666246131e+02 1.666443276e+02 4.6e-09 0.45
56 7.8e-06 1.1e-02 4.8e-04 1.00e+00 1.666259362e+02 1.666436791e+02 4.1e-09 0.45
57 7.0e-06 1.1e-02 4.3e-04 1.00e+00 1.666271257e+02 1.666430944e+02 3.7e-09 0.46
58 6.3e-06 1.0e-02 3.9e-04 1.00e+00 1.666281953e+02 1.666425671e+02 3.3e-09 0.47
59 5.7e-06 1.0e-02 3.5e-04 1.00e+00 1.666291571e+02 1.666420917e+02 3.0e-09 0.47
60 5.1e-06 1.0e-02 3.1e-04 1.00e+00 1.666300219e+02 1.666416631e+02 2.7e-09 0.48
61 4.6e-06 9.8e-03 2.8e-04 1.00e+00 1.666307995e+02 1.666412766e+02 2.4e-09 0.49
62 4.2e-06 9.7e-03 2.5e-04 1.00e+00 1.666314988e+02 1.666409282e+02 2.2e-09 0.49
63 3.7e-06 9.5e-03 2.3e-04 1.00e+00 1.666321275e+02 1.666406140e+02 2.0e-09 0.50
64 3.4e-06 9.4e-03 2.1e-04 1.00e+00 1.666326929e+02 1.666403308e+02 1.8e-09 0.51
65 3.0e-06 9.3e-03 1.9e-04 1.00e+00 1.666332012e+02 1.666400754e+02 1.6e-09 0.51
66 2.7e-06 9.2e-03 1.7e-04 1.00e+00 1.666336584e+02 1.666398451e+02 1.4e-09 0.52
67 2.5e-06 9.1e-03 1.5e-04 1.00e+00 1.666340695e+02 1.666396376e+02 1.3e-09 0.53
68 2.2e-06 9.0e-03 1.4e-04 1.00e+00 1.666344393e+02 1.666394506e+02 1.2e-09 0.54
69 2.0e-06 8.9e-03 1.2e-04 1.00e+00 1.666347718e+02 1.666392821e+02 1.1e-09 0.54
70 1.8e-06 8.9e-03 1.1e-04 1.00e+00 1.666350710e+02 1.666391302e+02 9.5e-10 0.55
71 1.6e-06 8.8e-03 9.9e-05 1.00e+00 1.666353400e+02 1.666389933e+02 8.5e-10 0.56
72 1.4e-06 8.7e-03 8.9e-05 1.00e+00 1.666355820e+02 1.666388700e+02 7.7e-10 0.56
73 1.3e-06 8.7e-03 8.0e-05 1.00e+00 1.666357997e+02 1.666387589e+02 6.9e-10 0.57
74 1.2e-06 8.6e-03 7.2e-05 1.00e+00 1.666359954e+02 1.666386588e+02 6.2e-10 0.58
75 1.1e-06 8.6e-03 6.5e-05 1.00e+00 1.666361715e+02 1.666385685e+02 5.6e-10 0.59
76 9.5e-07 8.5e-03 5.8e-05 1.00e+00 1.666363299e+02 1.666384872e+02 5.0e-10 0.59
77 8.5e-07 8.5e-03 5.2e-05 1.00e+00 1.666364723e+02 1.666384139e+02 4.5e-10 0.60
78 7.7e-07 8.4e-03 4.7e-05 1.00e+00 1.666366004e+02 1.666383478e+02 4.1e-10 0.61
79 6.9e-07 8.4e-03 4.3e-05 1.00e+00 1.666367156e+02 1.666382883e+02 3.7e-10 0.62
80 6.2e-07 8.4e-03 3.8e-05 1.00e+00 1.666368191e+02 1.666382346e+02 3.3e-10 0.62
81 5.6e-07 8.3e-03 3.4e-05 1.00e+00 1.666369123e+02 1.666381862e+02 3.0e-10 0.63
82 5.0e-07 8.3e-03 3.1e-05 1.00e+00 1.666369960e+02 1.666381425e+02 2.7e-10 0.64
83 4.5e-07 8.3e-03 2.8e-05 1.00e+00 1.666370713e+02 1.666381032e+02 2.4e-10 0.64
84 4.1e-07 8.2e-03 2.5e-05 1.00e+00 1.666371390e+02 1.666380677e+02 2.2e-10 0.65
85 3.7e-07 8.2e-03 2.3e-05 1.00e+00 1.666371999e+02 1.666380357e+02 1.9e-10 0.66
86 3.3e-07 8.2e-03 2.0e-05 1.00e+00 1.666372547e+02 1.666380069e+02 1.8e-10 0.67
87 3.0e-07 8.2e-03 1.8e-05 1.00e+00 1.666373039e+02 1.666379810e+02 1.6e-10 0.67
88 2.7e-07 8.1e-03 1.6e-05 1.00e+00 1.666373482e+02 1.666379576e+02 1.4e-10 0.68
89 2.4e-07 8.1e-03 1.5e-05 1.00e+00 1.666373881e+02 1.666379365e+02 1.3e-10 0.69
90 2.2e-07 8.1e-03 1.3e-05 1.00e+00 1.666374239e+02 1.666379175e+02 1.2e-10 0.69
91 2.0e-07 8.1e-03 1.2e-05 1.00e+00 1.666374562e+02 1.666379004e+02 1.0e-10 0.70
92 1.8e-07 8.0e-03 1.1e-05 9.99e-01 1.666374852e+02 1.666378850e+02 9.3e-11 0.71
93 1.6e-07 8.0e-03 9.7e-06 1.00e+00 1.666375113e+02 1.666378711e+02 8.4e-11 0.72
94 1.4e-07 8.0e-03 8.8e-06 1.00e+00 1.666375348e+02 1.666378586e+02 7.6e-11 0.72
95 1.3e-07 8.0e-03 7.9e-06 1.00e+00 1.666375559e+02 1.666378474e+02 6.8e-11 0.73
96 1.2e-07 8.0e-03 7.1e-06 1.00e+00 1.666375750e+02 1.666378372e+02 6.1e-11 0.74
97 1.0e-07 8.0e-03 6.4e-06 1.00e+00 1.666375921e+02 1.666378281e+02 5.5e-11 0.74
98 9.4e-08 7.9e-03 5.7e-06 1.00e+00 1.666376075e+02 1.666378199e+02 5.0e-11 0.75
99 8.4e-08 7.9e-03 5.2e-06 1.00e+00 1.666376213e+02 1.666378126e+02 4.5e-11 0.76
100 7.6e-08 7.9e-03 4.7e-06 1.00e+00 1.666376338e+02 1.666378059e+02 4.0e-11 0.76
101 6.8e-08 7.9e-03 4.2e-06 1.00e+00 1.666376450e+02 1.666377999e+02 3.6e-11 0.77
102 6.1e-08 7.9e-03 3.8e-06 9.99e-01 1.666376551e+02 1.666377945e+02 3.3e-11 0.78
103 5.5e-08 7.8e-03 3.4e-06 1.00e+00 1.666376642e+02 1.666377897e+02 2.9e-11 0.79
104 5.0e-08 7.8e-03 3.1e-06 9.99e-01 1.666376724e+02 1.666377853e+02 2.6e-11 0.79
105 4.5e-08 7.8e-03 2.7e-06 9.99e-01 1.666376798e+02 1.666377814e+02 2.4e-11 0.80
106 4.0e-08 7.8e-03 2.5e-06 1.00e+00 1.666376864e+02 1.666377779e+02 2.1e-11 0.81
107 3.6e-08 7.0e-03 2.2e-06 1.00e+00 1.666376924e+02 1.666377747e+02 1.9e-11 0.82
108 3.3e-08 6.3e-03 2.0e-06 1.00e+00 1.666376978e+02 1.666377718e+02 1.7e-11 0.82
109 2.9e-08 5.7e-03 1.8e-06 1.00e+00 1.666377026e+02 1.666377692e+02 1.6e-11 0.83
110 2.6e-08 5.1e-03 1.6e-06 1.00e+00 1.666377069e+02 1.666377669e+02 1.4e-11 0.84
111 2.4e-08 4.6e-03 1.5e-06 1.00e+00 1.666377109e+02 1.666377648e+02 1.3e-11 0.85
112 2.1e-08 4.1e-03 1.3e-06 9.97e-01 1.666377144e+02 1.666377629e+02 1.1e-11 0.85
113 1.9e-08 3.7e-03 1.2e-06 9.99e-01 1.666377176e+02 1.666377612e+02 1.0e-11 0.86
114 1.7e-08 3.4e-03 1.1e-06 9.99e-01 1.666377204e+02 1.666377597e+02 9.2e-12 0.87
115 1.6e-08 3.0e-03 9.6e-07 9.99e-01 1.666377230e+02 1.666377583e+02 8.3e-12 0.88
116 1.4e-08 2.7e-03 8.6e-07 1.00e+00 1.666377253e+02 1.666377571e+02 7.5e-12 0.88
117 1.3e-08 2.4e-03 7.8e-07 9.90e-01 1.666377273e+02 1.666377561e+02 6.7e-12 0.89
118 1.1e-08 2.2e-03 7.0e-07 1.00e+00 1.666377292e+02 1.666377551e+02 6.0e-12 0.90
119 1.0e-08 2.0e-03 6.3e-07 9.96e-01 1.666377309e+02 1.666377542e+02 5.4e-12 0.90
120 9.3e-09 1.8e-03 5.7e-07 1.00e+00 1.666377324e+02 1.666377534e+02 4.9e-12 0.91
121 8.3e-09 1.6e-03 5.1e-07 1.00e+00 1.666377338e+02 1.666377526e+02 4.4e-12 0.92
122 7.5e-09 1.4e-03 4.6e-07 1.01e+00 1.666377350e+02 1.666377519e+02 4.0e-12 0.93
123 6.8e-09 1.3e-03 4.1e-07 1.01e+00 1.666377362e+02 1.666377513e+02 3.6e-12 0.93
124 6.1e-09 1.2e-03 3.7e-07 1.01e+00 1.666377372e+02 1.666377507e+02 3.3e-12 0.94
125 5.5e-09 1.1e-03 3.3e-07 9.99e-01 1.666377381e+02 1.666377503e+02 2.9e-12 0.95
126 5.0e-09 9.5e-04 3.0e-07 1.01e+00 1.666377389e+02 1.666377498e+02 2.7e-12 0.96
127 4.5e-09 8.5e-04 2.7e-07 1.02e+00 1.666377397e+02 1.666377494e+02 2.4e-12 0.97
128 5.6e-08 1.1e-05 3.5e-09 7.43e-01 1.666377472e+02 1.666377474e+02 4.8e-13 0.98
Optimizer terminated. Time: 0.98
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663774725e+02 nrm: 2e+01 Viol. con: 2e-06 var: 0e+00
Dual. obj: 1.6663774741e+02 nrm: 9e+02 Viol. con: 0e+00 var: 1e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.01 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
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. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
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.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
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 : 1.48e+04 after factor : 1.48e+05
Factor - dense dim. : 0 flops : 2.93e+07
Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.237753739e+05 2.000000000e+00 1.0e+00 0.04
1 1.7e+03 2.6e+03 9.0e+04 -9.71e-01 -1.230370335e+05 2.621294786e+00 7.3e-01 0.05
2 8.7e+02 1.4e+03 4.7e+04 -9.59e-01 -1.207091912e+05 4.644578295e+00 3.8e-01 0.06
3 2.9e+02 4.6e+02 1.6e+04 -9.21e-01 -1.117445296e+05 2.001309028e+01 1.3e-01 0.07
4 2.9e+02 4.6e+02 1.6e+04 -7.72e-01 -1.095031374e+05 1.974666468e+03 1.3e-01 0.08
5 1.2e+02 1.9e+02 6.4e+03 -7.62e-01 -8.799037449e+04 6.314305350e+03 5.3e-02 0.08
6 4.2e+01 6.6e+01 2.3e+03 -4.47e-01 -4.984556168e+04 1.081696070e+04 1.8e-02 0.09
7 2.5e+01 4.0e+01 1.4e+03 1.91e-01 -3.456473041e+04 7.453847367e+03 1.1e-02 0.10
8 1.3e+01 2.0e+01 7.0e+02 4.82e-01 -1.966103600e+04 4.634640429e+03 5.7e-03 0.11
9 4.9e+00 7.7e+00 2.7e+02 7.41e-01 -7.622087862e+03 2.281743691e+03 2.2e-03 0.12
10 2.3e+00 3.7e+00 1.3e+02 9.30e-01 -3.406598713e+03 1.397641560e+03 1.0e-03 0.12
11 1.5e+00 2.3e+00 8.1e+01 9.81e-01 -2.141147845e+03 9.482776310e+02 6.7e-04 0.13
12 8.6e-01 1.4e+00 4.7e+01 9.88e-01 -1.174998359e+03 6.210539829e+02 3.9e-04 0.14
13 7.5e-01 1.2e+00 4.1e+01 9.55e-01 -1.042162751e+03 5.605880191e+02 3.4e-04 0.15
14 3.8e-01 6.2e-01 2.1e+01 9.87e-01 -4.228247028e+02 3.771747290e+02 1.7e-04 0.16
15 1.8e-01 3.1e-01 1.0e+01 9.99e-01 -1.361354275e+02 2.593484518e+02 8.5e-05 0.16
16 9.2e-02 1.8e-01 5.2e+00 1.01e+00 7.062921614e+00 2.057327727e+02 4.3e-05 0.17
17 8.9e-02 1.7e-01 5.0e+00 1.01e+00 1.638500422e+01 2.077013944e+02 4.1e-05 0.18
18 6.2e-02 1.2e-01 3.5e+00 1.01e+00 6.254439192e+01 1.952098048e+02 2.9e-05 0.19
19 3.0e-02 7.9e-02 1.7e+00 1.01e+00 1.175697610e+02 1.808611984e+02 1.4e-05 0.20
20 8.5e-03 1.8e-01 4.9e-01 1.01e+00 1.531753702e+02 1.715704380e+02 4.0e-06 0.21
21 2.5e-03 1.9e-01 1.5e-01 1.00e+00 1.623486761e+02 1.679511923e+02 1.2e-06 0.22
22 1.5e-03 1.2e-01 8.6e-02 1.00e+00 1.641427991e+02 1.674087189e+02 7.3e-07 0.23
23 5.2e-04 1.0e-01 3.1e-02 1.01e+00 1.656943758e+02 1.668625159e+02 2.6e-07 0.24
24 1.9e-04 1.0e-01 1.2e-02 1.01e+00 1.662226038e+02 1.666602047e+02 1.0e-07 0.25
25 1.7e-04 9.1e-02 1.1e-02 1.01e+00 1.662565312e+02 1.666502281e+02 9.1e-08 0.26
26 1.5e-04 8.3e-02 9.5e-03 1.01e+00 1.662843877e+02 1.666385768e+02 8.2e-08 0.26
27 1.4e-04 7.5e-02 8.5e-03 1.01e+00 1.663096002e+02 1.666282610e+02 7.3e-08 0.27
28 1.2e-04 6.8e-02 7.7e-03 1.01e+00 1.663321764e+02 1.666188810e+02 6.6e-08 0.28
29 1.1e-04 6.2e-02 6.9e-03 1.01e+00 1.663524351e+02 1.666103947e+02 5.9e-08 0.29
30 1.0e-04 5.7e-02 6.2e-03 1.01e+00 1.663706092e+02 1.666027116e+02 5.4e-08 0.30
31 9.1e-05 5.2e-02 5.6e-03 1.01e+00 1.663869151e+02 1.665957570e+02 4.8e-08 0.31
32 8.2e-05 4.8e-02 5.0e-03 1.01e+00 1.664015458e+02 1.665894624e+02 4.3e-08 0.31
33 7.4e-05 4.4e-02 4.5e-03 1.01e+00 1.664146744e+02 1.665837659e+02 3.9e-08 0.32
34 6.6e-05 4.0e-02 4.1e-03 1.01e+00 1.664264566e+02 1.665786118e+02 3.5e-08 0.33
35 6.0e-05 3.7e-02 3.7e-03 1.01e+00 1.664370315e+02 1.665739492e+02 3.2e-08 0.34
36 5.4e-05 3.4e-02 3.3e-03 1.00e+00 1.664465241e+02 1.665697322e+02 2.8e-08 0.35
37 4.8e-05 3.1e-02 3.0e-03 1.00e+00 1.664550460e+02 1.665659190e+02 2.6e-08 0.36
38 4.4e-05 2.9e-02 2.7e-03 1.00e+00 1.664626974e+02 1.665624716e+02 2.3e-08 0.37
39 3.9e-05 2.7e-02 2.4e-03 1.00e+00 1.664695680e+02 1.665593556e+02 2.1e-08 0.38
40 3.5e-05 2.5e-02 2.2e-03 1.00e+00 1.664757382e+02 1.665565397e+02 1.9e-08 0.39
41 3.2e-05 2.3e-02 1.9e-03 1.00e+00 1.664812799e+02 1.665539954e+02 1.7e-08 0.40
42 2.9e-05 2.2e-02 1.8e-03 1.00e+00 1.664862576e+02 1.665516970e+02 1.5e-08 0.41
43 2.6e-05 2.0e-02 1.6e-03 1.00e+00 1.664907293e+02 1.665496211e+02 1.4e-08 0.42
44 2.3e-05 1.9e-02 1.4e-03 1.00e+00 1.664947468e+02 1.665477465e+02 1.2e-08 0.43
45 2.1e-05 1.8e-02 1.3e-03 1.00e+00 1.664983566e+02 1.665460541e+02 1.1e-08 0.44
46 1.9e-05 1.7e-02 1.2e-03 1.00e+00 1.665016004e+02 1.665445264e+02 9.9e-09 0.45
47 1.7e-05 1.6e-02 1.0e-03 1.00e+00 1.665045157e+02 1.665431477e+02 9.0e-09 0.46
48 1.5e-05 1.5e-02 9.3e-04 1.00e+00 1.665071361e+02 1.665419038e+02 8.1e-09 0.46
49 1.4e-05 1.5e-02 8.4e-04 1.00e+00 1.665094915e+02 1.665407817e+02 7.3e-09 0.47
50 1.2e-05 1.4e-02 7.6e-04 1.00e+00 1.665116092e+02 1.665397698e+02 6.5e-09 0.48
51 1.1e-05 1.3e-02 6.8e-04 1.00e+00 1.665135132e+02 1.665388573e+02 5.9e-09 0.49
52 1.0e-05 1.3e-02 6.1e-04 1.00e+00 1.665152253e+02 1.665380346e+02 5.3e-09 0.49
53 9.0e-06 1.2e-02 5.5e-04 1.00e+00 1.665167650e+02 1.665372932e+02 4.8e-09 0.50
54 8.1e-06 1.2e-02 5.0e-04 1.00e+00 1.665181497e+02 1.665366249e+02 4.3e-09 0.52
55 7.3e-06 1.1e-02 4.5e-04 1.00e+00 1.665193951e+02 1.665360228e+02 3.9e-09 0.53
56 6.5e-06 1.1e-02 4.0e-04 1.00e+00 1.665205154e+02 1.665354802e+02 3.5e-09 0.53
57 5.9e-06 1.1e-02 3.6e-04 1.00e+00 1.665215231e+02 1.665349914e+02 3.1e-09 0.54
58 5.3e-06 1.1e-02 3.3e-04 1.00e+00 1.665224295e+02 1.665345509e+02 2.8e-09 0.56
59 4.8e-06 1.0e-02 2.9e-04 1.00e+00 1.665232448e+02 1.665341542e+02 2.5e-09 0.57
60 4.3e-06 1.0e-02 2.6e-04 1.00e+00 1.665239782e+02 1.665337967e+02 2.3e-09 0.57
61 3.9e-06 9.9e-03 2.4e-04 1.00e+00 1.665246379e+02 1.665334746e+02 2.0e-09 0.58
62 3.5e-06 9.7e-03 2.1e-04 1.00e+00 1.665252313e+02 1.665331843e+02 1.8e-09 0.59
63 3.1e-06 9.6e-03 1.9e-04 1.00e+00 1.665257650e+02 1.665329227e+02 1.7e-09 0.60
64 2.8e-06 9.4e-03 1.7e-04 1.00e+00 1.665262450e+02 1.665326870e+02 1.5e-09 0.61
65 2.5e-06 9.3e-03 1.6e-04 1.00e+00 1.665266767e+02 1.665324746e+02 1.3e-09 0.62
66 2.3e-06 9.2e-03 1.4e-04 1.00e+00 1.665270651e+02 1.665322832e+02 1.2e-09 0.63
67 2.1e-06 9.1e-03 1.3e-04 1.00e+00 1.665274145e+02 1.665321108e+02 1.1e-09 0.64
68 1.8e-06 9.0e-03 1.1e-04 1.00e+00 1.665277288e+02 1.665319555e+02 9.8e-10 0.65
69 1.7e-06 8.9e-03 1.0e-04 1.00e+00 1.665280116e+02 1.665318156e+02 8.8e-10 0.66
70 1.5e-06 8.8e-03 9.2e-05 1.00e+00 1.665282659e+02 1.665316896e+02 7.9e-10 0.67
71 1.3e-06 8.7e-03 8.3e-05 1.00e+00 1.665284948e+02 1.665315761e+02 7.2e-10 0.68
72 1.2e-06 8.7e-03 7.4e-05 1.00e+00 1.665287006e+02 1.665314738e+02 6.4e-10 0.69
73 1.1e-06 8.6e-03 6.7e-05 1.00e+00 1.665288858e+02 1.665313817e+02 5.8e-10 0.70
74 9.8e-07 8.6e-03 6.0e-05 1.00e+00 1.665290524e+02 1.665312987e+02 5.2e-10 0.71
75 8.8e-07 8.5e-03 5.4e-05 1.00e+00 1.665292022e+02 1.665312239e+02 4.7e-10 0.72
76 7.9e-07 8.5e-03 4.9e-05 1.00e+00 1.665293369e+02 1.665311565e+02 4.2e-10 0.74
77 7.2e-07 8.4e-03 4.4e-05 1.00e+00 1.665294581e+02 1.665310958e+02 3.8e-10 0.75
78 6.4e-07 8.4e-03 4.0e-05 1.00e+00 1.665295672e+02 1.665310410e+02 3.4e-10 0.75
79 5.8e-07 8.3e-03 3.6e-05 1.00e+00 1.665296652e+02 1.665309917e+02 3.1e-10 0.76
80 5.2e-07 8.3e-03 3.2e-05 1.00e+00 1.665297533e+02 1.665309472e+02 2.8e-10 0.77
81 4.7e-07 8.3e-03 2.9e-05 1.00e+00 1.665298326e+02 1.665309071e+02 2.5e-10 0.78
82 4.2e-07 8.2e-03 2.6e-05 1.00e+00 1.665299039e+02 1.665308709e+02 2.2e-10 0.79
83 3.8e-07 8.2e-03 2.3e-05 1.00e+00 1.665299680e+02 1.665308384e+02 2.0e-10 0.80
84 3.4e-07 8.2e-03 2.1e-05 1.00e+00 1.665300257e+02 1.665308090e+02 1.8e-10 0.81
85 3.1e-07 8.2e-03 1.9e-05 1.00e+00 1.665300775e+02 1.665307825e+02 1.6e-10 0.82
86 2.8e-07 8.1e-03 1.7e-05 1.00e+00 1.665301241e+02 1.665307586e+02 1.5e-10 0.83
87 2.5e-07 8.1e-03 1.5e-05 1.00e+00 1.665301661e+02 1.665307371e+02 1.3e-10 0.84
88 2.2e-07 8.1e-03 1.4e-05 1.00e+00 1.665302038e+02 1.665307178e+02 1.2e-10 0.85
89 2.0e-07 8.1e-03 1.2e-05 1.00e+00 1.665302377e+02 1.665307003e+02 1.1e-10 0.86
90 1.8e-07 8.1e-03 1.1e-05 1.00e+00 1.665302683e+02 1.665306845e+02 9.7e-11 0.87
91 1.6e-07 8.0e-03 1.0e-05 1.00e+00 1.665302958e+02 1.665306704e+02 8.7e-11 0.88
92 1.5e-07 8.0e-03 9.1e-06 1.00e+00 1.665303205e+02 1.665306576e+02 7.8e-11 0.89
93 1.3e-07 8.0e-03 8.1e-06 1.00e+00 1.665303427e+02 1.665306462e+02 7.0e-11 0.91
94 1.2e-07 8.0e-03 7.3e-06 1.00e+00 1.665303627e+02 1.665306358e+02 6.3e-11 0.92
95 1.1e-07 7.9e-03 6.6e-06 1.00e+00 1.665303807e+02 1.665306265e+02 5.7e-11 0.93
96 9.7e-08 7.9e-03 5.9e-06 1.00e+00 1.665303969e+02 1.665306182e+02 5.1e-11 0.94
97 8.7e-08 7.9e-03 5.3e-06 1.00e+00 1.665304115e+02 1.665306106e+02 4.6e-11 0.95
98 7.8e-08 7.9e-03 4.8e-06 1.00e+00 1.665304246e+02 1.665306038e+02 4.2e-11 0.96
99 7.0e-08 7.9e-03 4.3e-06 1.00e+00 1.665304364e+02 1.665305977e+02 3.7e-11 0.96
100 6.3e-08 7.9e-03 3.9e-06 1.00e+00 1.665304471e+02 1.665305922e+02 3.4e-11 0.97
101 5.7e-08 7.8e-03 3.5e-06 9.99e-01 1.665304566e+02 1.665305873e+02 3.0e-11 0.98
102 5.1e-08 7.8e-03 3.2e-06 9.99e-01 1.665304652e+02 1.665305828e+02 2.7e-11 1.00
103 1.3e-07 7.6e-03 3.1e-06 9.90e-01 1.665304639e+02 1.665305917e+02 2.6e-11 1.01
104 1.3e-07 7.3e-03 2.8e-06 1.00e+00 1.665304717e+02 1.665305876e+02 2.4e-11 1.02
105 1.2e-07 7.3e-03 2.5e-06 9.99e-01 1.665304788e+02 1.665305831e+02 2.1e-11 1.03
106 1.1e-07 7.3e-03 2.2e-06 9.97e-01 1.665304851e+02 1.665305790e+02 1.9e-11 1.04
107 9.5e-08 7.2e-03 2.0e-06 1.00e+00 1.665304909e+02 1.665305754e+02 1.7e-11 1.05
108 8.5e-08 7.2e-03 1.8e-06 1.00e+00 1.665304961e+02 1.665305721e+02 1.6e-11 1.05
109 7.7e-08 7.1e-03 1.6e-06 9.97e-01 1.665305008e+02 1.665305691e+02 1.4e-11 1.06
110 6.9e-08 7.1e-03 1.5e-06 1.00e+00 1.665305050e+02 1.665305665e+02 1.3e-11 1.07
111 6.2e-08 7.1e-03 1.3e-06 9.99e-01 1.665305087e+02 1.665305641e+02 1.1e-11 1.08
112 5.6e-08 6.4e-03 1.2e-06 1.01e+00 1.665305122e+02 1.665305619e+02 1.0e-11 1.09
113 5.0e-08 5.7e-03 1.1e-06 1.00e+00 1.665305152e+02 1.665305600e+02 9.2e-12 1.10
114 4.6e-08 5.2e-03 9.7e-07 9.95e-01 1.665305180e+02 1.665305583e+02 8.3e-12 1.10
115 4.1e-08 4.6e-03 8.7e-07 1.00e+00 1.665305204e+02 1.665305567e+02 7.5e-12 1.11
116 3.7e-08 4.2e-03 7.8e-07 9.93e-01 1.665305227e+02 1.665305553e+02 6.7e-12 1.12
117 3.3e-08 3.8e-03 7.0e-07 1.00e+00 1.665305247e+02 1.665305540e+02 6.1e-12 1.13
118 8.3e-08 3.4e-03 6.3e-07 9.34e-01 1.665305257e+02 1.665305588e+02 5.3e-12 1.14
119 4.3e-08 3.0e-03 5.7e-07 1.01e+00 1.665305272e+02 1.665305547e+02 4.7e-12 1.15
120 4.3e-08 2.7e-03 5.1e-07 9.21e-01 1.665305288e+02 1.665305507e+02 4.1e-12 1.15
121 2.7e-08 2.5e-03 4.6e-07 9.95e-01 1.665305300e+02 1.665305510e+02 3.7e-12 1.16
122 2.5e-08 2.3e-03 4.2e-07 1.01e+00 1.665305312e+02 1.665305502e+02 3.4e-12 1.17
123 2.4e-08 2.0e-03 3.7e-07 9.96e-01 1.665305324e+02 1.665305495e+02 3.0e-12 1.18
124 2.2e-08 1.8e-03 3.4e-07 9.97e-01 1.665305334e+02 1.665305488e+02 2.7e-12 1.19
125 2.0e-08 1.6e-03 3.0e-07 1.00e+00 1.665305343e+02 1.665305482e+02 2.4e-12 1.21
126 1.8e-08 1.5e-03 2.7e-07 1.00e+00 1.665305352e+02 1.665305476e+02 2.2e-12 1.22
127 2.6e-08 1.3e-03 2.4e-07 1.00e+00 1.665305363e+02 1.665305471e+02 2.0e-12 1.23
128 5.3e-08 1.2e-03 2.2e-07 9.12e-01 1.665305367e+02 1.665305467e+02 1.9e-12 1.24
129 4.1e-08 1.1e-03 2.0e-07 1.01e+00 1.665305373e+02 1.665305462e+02 1.7e-12 1.25
130 3.7e-08 1.0e-03 1.8e-07 1.00e+00 1.665305380e+02 1.665305459e+02 1.5e-12 1.27
131 3.3e-08 9.1e-04 1.6e-07 1.00e+00 1.665305385e+02 1.665305455e+02 1.4e-12 1.28
132 3.0e-08 8.2e-04 1.4e-07 9.95e-01 1.665305389e+02 1.665305453e+02 1.2e-12 1.28
133 2.7e-08 7.4e-04 1.3e-07 1.00e+00 1.665305393e+02 1.665305450e+02 1.1e-12 1.29
134 2.5e-08 6.6e-04 1.2e-07 1.00e+00 1.665305396e+02 1.665305448e+02 9.9e-13 1.30
Optimizer terminated. Time: 1.31
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653053960e+02 nrm: 2e+01 Viol. con: 7e-07 var: 0e+00
Dual. obj: 1.6653054477e+02 nrm: 1e+03 Viol. con: 0e+00 var: 6e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.33 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (312) of matrix 'A'.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
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. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
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.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
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 : 0.01
Factor - nonzeros before factor : 1.48e+04 after factor : 1.48e+05
Factor - dense dim. : 0 flops : 2.93e+07
Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.237723965e+05 2.000000000e+00 1.0e+00 0.03
1 1.7e+03 2.6e+03 9.0e+04 -9.71e-01 -1.230338911e+05 2.619367871e+00 7.3e-01 0.04
2 8.7e+02 1.4e+03 4.7e+04 -9.59e-01 -1.207104755e+05 4.635090693e+00 3.8e-01 0.05
3 2.9e+02 4.6e+02 1.6e+04 -9.21e-01 -1.116924132e+05 2.006515812e+01 1.3e-01 0.06
4 2.9e+02 4.6e+02 1.6e+04 -7.72e-01 -1.094707951e+05 1.962598695e+03 1.3e-01 0.06
5 1.2e+02 1.9e+02 6.4e+03 -7.62e-01 -8.788226104e+04 6.303856314e+03 5.2e-02 0.07
6 3.3e+01 5.2e+01 1.8e+03 -4.45e-01 -4.126301059e+04 1.179599132e+04 1.5e-02 0.08
7 2.0e+01 3.2e+01 1.1e+03 3.46e-01 -2.865074013e+04 7.420402322e+03 9.0e-03 0.09
8 1.0e+01 1.6e+01 5.5e+02 5.88e-01 -1.559269793e+04 4.104339917e+03 4.5e-03 0.10
9 3.8e+00 6.0e+00 2.1e+02 8.10e-01 -5.894597930e+03 1.898576709e+03 1.7e-03 0.10
10 2.1e+00 3.3e+00 1.1e+02 9.51e-01 -3.065562116e+03 1.212591869e+03 9.2e-04 0.11
11 8.8e-01 1.4e+00 4.8e+01 9.86e-01 -1.199429749e+03 6.419680197e+02 4.0e-04 0.12
12 8.4e-01 1.3e+00 4.6e+01 9.64e-01 -1.163808416e+03 6.115786890e+02 3.8e-04 0.13
13 5.3e-01 8.3e-01 2.9e+01 9.74e-01 -6.960284870e+02 4.363811472e+02 2.4e-04 0.14
14 3.5e-01 5.5e-01 1.9e+01 1.00e+00 -3.813368667e+02 3.597045054e+02 1.6e-04 0.14
15 1.4e-01 2.3e-01 7.7e+00 9.97e-01 -6.719842854e+01 2.314917281e+02 6.5e-05 0.15
16 8.5e-02 1.5e-01 4.7e+00 1.01e+00 2.005116100e+01 2.025960004e+02 4.0e-05 0.16
17 8.2e-02 1.4e-01 4.6e+00 1.02e+00 2.553737299e+01 2.015018767e+02 3.8e-05 0.16
18 5.7e-02 1.0e-01 3.2e+00 1.02e+00 7.030708921e+01 1.929667335e+02 2.7e-05 0.17
19 1.8e-02 8.3e-02 1.0e+00 1.02e+00 1.375642693e+02 1.754927782e+02 8.4e-06 0.18
20 5.4e-03 1.9e-01 3.1e-01 1.01e+00 1.579583233e+02 1.696376159e+02 2.6e-06 0.19
21 3.0e-03 2.2e-01 1.8e-01 1.01e+00 1.615621834e+02 1.681592421e+02 1.5e-06 0.20
22 1.1e-03 1.2e-01 6.4e-02 1.01e+00 1.647466837e+02 1.671515795e+02 5.4e-07 0.20
23 3.3e-04 1.2e-01 2.0e-02 1.01e+00 1.659527749e+02 1.666952723e+02 1.7e-07 0.21
24 1.5e-04 9.6e-02 9.0e-03 1.01e+00 1.662411411e+02 1.665782592e+02 7.8e-08 0.22
25 1.3e-04 8.8e-02 8.1e-03 1.01e+00 1.662670615e+02 1.665704340e+02 7.0e-08 0.23
26 1.2e-04 8.0e-02 7.3e-03 1.01e+00 1.662882724e+02 1.665611881e+02 6.3e-08 0.23
27 1.1e-04 7.2e-02 6.6e-03 1.01e+00 1.663074622e+02 1.665530014e+02 5.7e-08 0.24
28 9.6e-05 6.6e-02 5.9e-03 1.01e+00 1.663246400e+02 1.665455534e+02 5.1e-08 0.25
29 8.7e-05 6.0e-02 5.3e-03 1.01e+00 1.663400561e+02 1.665388193e+02 4.6e-08 0.25
30 7.8e-05 5.5e-02 4.8e-03 1.01e+00 1.663538858e+02 1.665327239e+02 4.2e-08 0.26
31 7.0e-05 5.0e-02 4.3e-03 1.01e+00 1.663662942e+02 1.665272085e+02 3.7e-08 0.27
32 6.3e-05 4.6e-02 3.9e-03 1.01e+00 1.663774282e+02 1.665222182e+02 3.4e-08 0.28
33 5.7e-05 4.2e-02 3.5e-03 1.01e+00 1.663874199e+02 1.665177040e+02 3.0e-08 0.29
34 5.1e-05 3.9e-02 3.2e-03 1.01e+00 1.663963874e+02 1.665136211e+02 2.7e-08 0.30
35 4.6e-05 3.6e-02 2.8e-03 1.01e+00 1.664044369e+02 1.665099292e+02 2.5e-08 0.30
36 4.1e-05 3.3e-02 2.6e-03 1.00e+00 1.664116630e+02 1.665065915e+02 2.2e-08 0.31
37 3.7e-05 3.0e-02 2.3e-03 1.00e+00 1.664181509e+02 1.665035746e+02 2.0e-08 0.32
38 3.4e-05 2.8e-02 2.1e-03 1.00e+00 1.664239766e+02 1.665008483e+02 1.8e-08 0.33
39 3.0e-05 2.6e-02 1.9e-03 1.00e+00 1.664292085e+02 1.664983851e+02 1.6e-08 0.33
40 2.7e-05 2.4e-02 1.7e-03 1.00e+00 1.664339074e+02 1.664961602e+02 1.5e-08 0.34
41 2.4e-05 2.3e-02 1.5e-03 1.00e+00 1.664381284e+02 1.664941507e+02 1.3e-08 0.35
42 2.2e-05 2.1e-02 1.4e-03 1.00e+00 1.664419202e+02 1.664923363e+02 1.2e-08 0.36
43 2.0e-05 2.0e-02 1.2e-03 1.00e+00 1.664453271e+02 1.664906982e+02 1.1e-08 0.37
44 1.8e-05 1.9e-02 1.1e-03 1.00e+00 1.664483883e+02 1.664892197e+02 9.5e-09 0.37
45 1.6e-05 1.8e-02 9.9e-04 1.00e+00 1.664511392e+02 1.664878854e+02 8.6e-09 0.38
46 1.4e-05 1.7e-02 8.9e-04 1.00e+00 1.664536115e+02 1.664866815e+02 7.7e-09 0.39
47 1.3e-05 1.6e-02 8.0e-04 1.00e+00 1.664558338e+02 1.664855955e+02 7.0e-09 0.40
48 1.2e-05 1.5e-02 7.2e-04 1.00e+00 1.664578313e+02 1.664846159e+02 6.3e-09 0.41
49 1.1e-05 1.4e-02 6.5e-04 1.00e+00 1.664596272e+02 1.664837325e+02 5.6e-09 0.41
50 9.5e-06 1.4e-02 5.9e-04 1.00e+00 1.664612418e+02 1.664829359e+02 5.1e-09 0.42
51 8.5e-06 1.3e-02 5.3e-04 1.00e+00 1.664626936e+02 1.664822179e+02 4.6e-09 0.43
52 7.7e-06 1.3e-02 4.7e-04 1.00e+00 1.664639992e+02 1.664815706e+02 4.1e-09 0.44
53 6.9e-06 1.2e-02 4.3e-04 1.00e+00 1.664651733e+02 1.664809873e+02 3.7e-09 0.45
54 6.2e-06 1.2e-02 3.8e-04 1.00e+00 1.664662292e+02 1.664804617e+02 3.3e-09 0.45
55 5.6e-06 1.1e-02 3.5e-04 1.00e+00 1.664671790e+02 1.664799881e+02 3.0e-09 0.46
56 5.0e-06 1.1e-02 3.1e-04 1.00e+00 1.664680333e+02 1.664795614e+02 2.7e-09 0.47
57 4.5e-06 1.1e-02 2.8e-04 1.00e+00 1.664688018e+02 1.664791770e+02 2.4e-09 0.48
58 4.1e-06 1.0e-02 2.5e-04 1.00e+00 1.664694931e+02 1.664788307e+02 2.2e-09 0.49
59 3.7e-06 1.0e-02 2.3e-04 1.00e+00 1.664701149e+02 1.664785187e+02 2.0e-09 0.51
60 3.3e-06 9.9e-03 2.0e-04 1.00e+00 1.664706742e+02 1.664782377e+02 1.8e-09 0.51
61 3.0e-06 9.7e-03 1.8e-04 1.00e+00 1.664711774e+02 1.664779845e+02 1.6e-09 0.52
62 2.7e-06 9.5e-03 1.7e-04 1.00e+00 1.664716301e+02 1.664777565e+02 1.4e-09 0.53
63 2.4e-06 9.4e-03 1.5e-04 1.00e+00 1.664720374e+02 1.664775512e+02 1.3e-09 0.54
64 2.2e-06 9.2e-03 1.3e-04 1.00e+00 1.664724039e+02 1.664773663e+02 1.2e-09 0.55
65 2.0e-06 9.1e-03 1.2e-04 1.00e+00 1.664727338e+02 1.664771999e+02 1.0e-09 0.56
66 1.8e-06 9.0e-03 1.1e-04 1.00e+00 1.664730306e+02 1.664770501e+02 9.4e-10 0.57
67 1.6e-06 8.9e-03 9.8e-05 1.00e+00 1.664732977e+02 1.664769153e+02 8.5e-10 0.57
68 1.4e-06 8.8e-03 8.8e-05 1.00e+00 1.664735380e+02 1.664767939e+02 7.6e-10 0.58
69 1.3e-06 8.7e-03 7.9e-05 1.00e+00 1.664737543e+02 1.664766846e+02 6.9e-10 0.60
70 1.2e-06 8.6e-03 7.1e-05 1.00e+00 1.664739490e+02 1.664765862e+02 6.2e-10 0.61
71 1.0e-06 8.5e-03 6.4e-05 1.00e+00 1.664741241e+02 1.664764977e+02 5.6e-10 0.61
72 9.3e-07 8.4e-03 5.8e-05 1.00e+00 1.664742818e+02 1.664764180e+02 5.0e-10 0.62
73 8.4e-07 8.4e-03 5.2e-05 1.00e+00 1.664744236e+02 1.664763462e+02 4.5e-10 0.63
74 7.6e-07 8.3e-03 4.7e-05 1.00e+00 1.664745512e+02 1.664762816e+02 4.0e-10 0.64
75 6.8e-07 8.3e-03 4.2e-05 1.00e+00 1.664746661e+02 1.664762234e+02 3.6e-10 0.64
76 6.1e-07 8.2e-03 3.8e-05 1.00e+00 1.664747694e+02 1.664761710e+02 3.3e-10 0.65
77 5.5e-07 8.2e-03 3.4e-05 1.00e+00 1.664748623e+02 1.664761238e+02 3.0e-10 0.66
78 5.0e-07 8.1e-03 3.1e-05 1.00e+00 1.664749459e+02 1.664760812e+02 2.7e-10 0.68
79 4.5e-07 8.1e-03 2.8e-05 1.00e+00 1.664750211e+02 1.664760429e+02 2.4e-10 0.69
80 4.0e-07 8.0e-03 2.5e-05 1.00e+00 1.664750888e+02 1.664760084e+02 2.2e-10 0.70
81 3.6e-07 8.0e-03 2.2e-05 1.00e+00 1.664751496e+02 1.664759773e+02 1.9e-10 0.71
82 3.3e-07 8.0e-03 2.0e-05 1.00e+00 1.664752044e+02 1.664759493e+02 1.7e-10 0.72
83 2.9e-07 8.0e-03 1.8e-05 1.00e+00 1.664752536e+02 1.664759240e+02 1.6e-10 0.72
84 2.6e-07 7.9e-03 1.6e-05 1.00e+00 1.664752979e+02 1.664759013e+02 1.4e-10 0.73
85 2.4e-07 7.9e-03 1.5e-05 1.00e+00 1.664753378e+02 1.664758808e+02 1.3e-10 0.74
86 2.1e-07 7.9e-03 1.3e-05 1.00e+00 1.664753737e+02 1.664758624e+02 1.1e-10 0.75
87 1.9e-07 7.9e-03 1.2e-05 1.00e+00 1.664754059e+02 1.664758458e+02 1.0e-10 0.76
88 1.7e-07 7.8e-03 1.1e-05 1.00e+00 1.664754350e+02 1.664758309e+02 9.3e-11 0.76
89 1.6e-07 7.8e-03 9.6e-06 1.00e+00 1.664754611e+02 1.664758175e+02 8.3e-11 0.77
90 1.4e-07 7.8e-03 8.7e-06 1.00e+00 1.664754846e+02 1.664758053e+02 7.5e-11 0.78
91 1.3e-07 7.0e-03 7.8e-06 1.00e+00 1.664755058e+02 1.664757942e+02 6.8e-11 0.79
92 1.1e-07 6.3e-03 7.0e-06 1.00e+00 1.664755248e+02 1.664757844e+02 6.1e-11 0.79
93 1.0e-07 5.7e-03 6.3e-06 1.00e+00 1.664755420e+02 1.664757756e+02 5.5e-11 0.80
94 9.2e-08 5.1e-03 5.7e-06 1.00e+00 1.664755574e+02 1.664757676e+02 4.9e-11 0.81
95 8.3e-08 4.6e-03 5.1e-06 9.99e-01 1.664755713e+02 1.664757605e+02 4.4e-11 0.82
96 7.4e-08 4.1e-03 4.6e-06 1.00e+00 1.664755837e+02 1.664757541e+02 4.0e-11 0.82
97 6.7e-08 3.7e-03 4.1e-06 1.00e+00 1.664755950e+02 1.664757483e+02 3.6e-11 0.83
98 6.0e-08 3.4e-03 3.7e-06 1.00e+00 1.664756051e+02 1.664757431e+02 3.2e-11 0.84
99 5.4e-08 3.0e-03 3.4e-06 9.99e-01 1.664756142e+02 1.664757384e+02 2.9e-11 0.85
100 4.9e-08 2.7e-03 3.0e-06 1.00e+00 1.664756224e+02 1.664757342e+02 2.6e-11 0.85
101 4.4e-08 2.4e-03 2.7e-06 1.00e+00 1.664756297e+02 1.664757304e+02 2.4e-11 0.87
102 4.0e-08 2.2e-03 2.4e-06 1.00e+00 1.664756364e+02 1.664757269e+02 2.1e-11 0.87
103 3.6e-08 2.0e-03 2.2e-06 1.00e+00 1.664756424e+02 1.664757238e+02 1.9e-11 0.89
104 3.2e-08 1.8e-03 2.0e-06 1.00e+00 1.664756477e+02 1.664757210e+02 1.7e-11 0.89
105 2.9e-08 1.6e-03 1.8e-06 1.00e+00 1.664756526e+02 1.664757185e+02 1.5e-11 0.90
106 2.6e-08 1.4e-03 1.6e-06 9.97e-01 1.664756569e+02 1.664757163e+02 1.4e-11 0.91
107 2.3e-08 1.3e-03 1.4e-06 9.98e-01 1.664756608e+02 1.664757143e+02 1.3e-11 0.92
108 2.1e-08 1.2e-03 1.3e-06 9.99e-01 1.664756644e+02 1.664757125e+02 1.1e-11 0.92
109 1.9e-08 1.1e-03 1.2e-06 1.00e+00 1.664756675e+02 1.664757108e+02 1.0e-11 0.93
110 1.7e-08 9.5e-04 1.1e-06 1.00e+00 1.664756704e+02 1.664757093e+02 9.1e-12 0.94
111 1.5e-08 8.5e-04 9.5e-07 1.00e+00 1.664756730e+02 1.664757080e+02 8.2e-12 0.95
112 1.4e-08 7.7e-04 8.5e-07 9.96e-01 1.664756753e+02 1.664757068e+02 7.4e-12 0.95
113 1.2e-08 6.9e-04 7.7e-07 1.01e+00 1.664756774e+02 1.664757057e+02 6.7e-12 0.96
114 1.1e-08 6.2e-04 6.9e-07 9.97e-01 1.664756793e+02 1.664757048e+02 6.0e-12 0.97
115 1.0e-08 5.6e-04 6.2e-07 1.01e+00 1.664756810e+02 1.664757039e+02 5.4e-12 0.98
116 9.1e-09 5.0e-04 5.6e-07 1.00e+00 1.664756825e+02 1.664757031e+02 4.9e-12 0.98
117 3.7e-09 5.2e-05 5.8e-08 1.00e+00 1.664756946e+02 1.664756968e+02 5.0e-13 0.99
Optimizer terminated. Time: 0.99
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569465e+02 nrm: 2e+01 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6647569678e+02 nrm: 1e+03 Viol. con: 0e+00 var: 4e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.02 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (312) of matrix 'A'.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
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. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
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.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
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 : 0.01
Factor - nonzeros before factor : 1.48e+04 after factor : 1.48e+05
Factor - dense dim. : 0 flops : 2.93e+07
Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.237711052e+05 2.000000000e+00 1.0e+00 0.03
1 1.7e+03 2.6e+03 9.0e+04 -9.71e-01 -1.230327955e+05 2.618555380e+00 7.3e-01 0.04
2 8.7e+02 1.4e+03 4.7e+04 -9.59e-01 -1.207105230e+05 4.631548915e+00 3.8e-01 0.05
3 2.9e+02 4.6e+02 1.6e+04 -9.21e-01 -1.116593625e+05 2.009145839e+01 1.3e-01 0.06
4 2.9e+02 4.6e+02 1.6e+04 -7.71e-01 -1.094464055e+05 1.958106253e+03 1.3e-01 0.06
5 1.2e+02 1.9e+02 6.4e+03 -7.62e-01 -8.784887085e+04 6.286653597e+03 5.2e-02 0.07
6 2.8e+01 4.4e+01 1.5e+03 -4.45e-01 -3.521466166e+04 1.246995668e+04 1.2e-02 0.08
7 1.8e+01 2.8e+01 9.7e+02 4.59e-01 -2.555040771e+04 7.282601029e+03 8.0e-03 0.09
8 1.0e+01 1.6e+01 5.5e+02 6.44e-01 -1.530962368e+04 4.310256051e+03 4.5e-03 0.09
9 4.0e+00 6.3e+00 2.2e+02 8.15e-01 -6.206808585e+03 1.970157915e+03 1.8e-03 0.10
10 2.1e+00 3.3e+00 1.1e+02 9.47e-01 -3.076258621e+03 1.206432808e+03 9.2e-04 0.11
11 8.6e-01 1.4e+00 4.7e+01 9.86e-01 -1.172512749e+03 6.452584713e+02 3.9e-04 0.11
12 8.3e-01 1.3e+00 4.6e+01 9.58e-01 -1.152704090e+03 6.177874298e+02 3.8e-04 0.12
13 5.3e-01 8.4e-01 2.9e+01 9.71e-01 -6.979547615e+02 4.416984539e+02 2.4e-04 0.13
14 3.5e-01 5.6e-01 1.9e+01 1.00e+00 -3.846816526e+02 3.613124056e+02 1.6e-04 0.14
15 1.1e-01 2.1e-01 6.5e+00 9.97e-01 -3.287554343e+01 2.179223059e+02 5.4e-05 0.15
16 8.4e-02 1.5e-01 4.7e+00 1.02e+00 2.205475750e+01 2.043964349e+02 4.0e-05 0.16
17 5.0e-02 9.3e-02 2.8e+00 1.02e+00 8.341064309e+01 1.909653399e+02 2.4e-05 0.16
18 1.3e-02 1.6e-01 7.4e-01 1.02e+00 1.456020178e+02 1.736314114e+02 6.2e-06 0.17
19 4.1e-03 2.0e-01 2.4e-01 1.01e+00 1.597194211e+02 1.687954823e+02 2.0e-06 0.18
20 2.1e-03 2.3e-01 1.2e-01 1.01e+00 1.630439252e+02 1.676586776e+02 1.0e-06 0.19
21 6.3e-04 1.5e-01 3.8e-02 1.01e+00 1.654295900e+02 1.668596314e+02 3.2e-07 0.20
22 4.2e-04 1.1e-01 2.6e-02 9.98e-01 1.657668009e+02 1.667213273e+02 2.2e-07 0.21
23 2.5e-04 8.1e-02 1.5e-02 9.86e-01 1.660455576e+02 1.666106550e+02 1.3e-07 0.22
24 2.0e-04 6.9e-02 1.2e-02 9.99e-01 1.661253082e+02 1.665840040e+02 1.1e-07 0.22
25 1.8e-04 6.4e-02 1.1e-02 1.01e+00 1.661579659e+02 1.665705552e+02 9.5e-08 0.23
26 1.6e-04 5.8e-02 9.9e-03 1.01e+00 1.661869284e+02 1.665581251e+02 8.5e-08 0.24
27 1.5e-04 5.3e-02 8.9e-03 1.00e+00 1.662130795e+02 1.665471131e+02 7.7e-08 0.25
28 1.3e-04 4.8e-02 8.1e-03 1.00e+00 1.662365215e+02 1.665371132e+02 6.9e-08 0.26
29 1.2e-04 4.4e-02 7.2e-03 1.00e+00 1.662575651e+02 1.665280693e+02 6.2e-08 0.27
30 1.1e-04 4.0e-02 6.5e-03 1.00e+00 1.662764527e+02 1.665198850e+02 5.6e-08 0.28
31 9.5e-05 3.7e-02 5.9e-03 1.00e+00 1.662934068e+02 1.665124797e+02 5.0e-08 0.29
32 8.6e-05 3.4e-02 5.3e-03 1.00e+00 1.663086255e+02 1.665057792e+02 4.5e-08 0.30
33 7.7e-05 3.1e-02 4.8e-03 1.00e+00 1.663222870e+02 1.664997165e+02 4.1e-08 0.31
34 6.9e-05 2.9e-02 4.3e-03 1.00e+00 1.663345508e+02 1.664942311e+02 3.7e-08 0.31
35 6.2e-05 2.7e-02 3.9e-03 1.00e+00 1.663455607e+02 1.664892683e+02 3.3e-08 0.33
36 5.6e-05 2.5e-02 3.5e-03 1.00e+00 1.663554455e+02 1.664847790e+02 3.0e-08 0.34
37 5.1e-05 2.3e-02 3.1e-03 1.00e+00 1.663643208e+02 1.664807187e+02 2.7e-08 0.35
38 4.6e-05 2.2e-02 2.8e-03 1.00e+00 1.663722906e+02 1.664770470e+02 2.4e-08 0.36
39 4.1e-05 2.0e-02 2.5e-03 1.00e+00 1.663794477e+02 1.664737273e+02 2.2e-08 0.37
40 3.7e-05 1.9e-02 2.3e-03 1.00e+00 1.663858757e+02 1.664707266e+02 2.0e-08 0.38
41 3.3e-05 1.8e-02 2.0e-03 1.00e+00 1.663916493e+02 1.664680146e+02 1.8e-08 0.39
42 3.0e-05 1.7e-02 1.8e-03 1.00e+00 1.663968354e+02 1.664655639e+02 1.6e-08 0.40
43 2.7e-05 1.6e-02 1.7e-03 1.00e+00 1.664014943e+02 1.664633498e+02 1.4e-08 0.40
44 2.4e-05 1.5e-02 1.5e-03 1.00e+00 1.664056797e+02 1.664613496e+02 1.3e-08 0.41
45 2.2e-05 1.4e-02 1.3e-03 1.00e+00 1.664094400e+02 1.664595429e+02 1.2e-08 0.42
46 2.0e-05 1.4e-02 1.2e-03 1.00e+00 1.664128185e+02 1.664579112e+02 1.0e-08 0.43
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664158542e+02 1.664564378e+02 9.4e-09 0.44
48 1.6e-05 1.3e-02 9.8e-04 1.00e+00 1.664185821e+02 1.664551074e+02 8.4e-09 0.46
49 1.4e-05 1.2e-02 8.8e-04 1.00e+00 1.664210334e+02 1.664539063e+02 7.6e-09 0.47
50 1.3e-05 1.2e-02 7.9e-04 1.00e+00 1.664232364e+02 1.664528222e+02 6.8e-09 0.48
51 1.2e-05 1.1e-02 7.2e-04 1.00e+00 1.664252163e+02 1.664518437e+02 6.1e-09 0.49
52 1.0e-05 1.1e-02 6.4e-04 1.00e+00 1.664269959e+02 1.664509607e+02 5.5e-09 0.50
53 9.4e-06 1.1e-02 5.8e-04 1.00e+00 1.664285955e+02 1.664501639e+02 5.0e-09 0.50
54 8.4e-06 1.0e-02 5.2e-04 1.00e+00 1.664300333e+02 1.664494451e+02 4.5e-09 0.51
55 7.6e-06 1.0e-02 4.7e-04 1.00e+00 1.664313259e+02 1.664487966e+02 4.0e-09 0.52
56 6.8e-06 9.9e-03 4.2e-04 1.00e+00 1.664324880e+02 1.664482118e+02 3.6e-09 0.53
57 6.2e-06 9.7e-03 3.8e-04 1.00e+00 1.664335328e+02 1.664476843e+02 3.3e-09 0.54
58 5.5e-06 9.6e-03 3.4e-04 1.00e+00 1.664344722e+02 1.664472086e+02 2.9e-09 0.55
59 5.0e-06 9.4e-03 3.1e-04 1.00e+00 1.664353168e+02 1.664467797e+02 2.6e-09 0.56
60 4.5e-06 9.3e-03 2.8e-04 1.00e+00 1.664360762e+02 1.664463929e+02 2.4e-09 0.56
61 4.0e-06 9.1e-03 2.5e-04 1.00e+00 1.664367591e+02 1.664460442e+02 2.1e-09 0.58
62 3.6e-06 9.0e-03 2.2e-04 1.00e+00 1.664373731e+02 1.664457298e+02 1.9e-09 0.58
63 3.3e-06 8.9e-03 2.0e-04 1.00e+00 1.664379253e+02 1.664454463e+02 1.7e-09 0.59
64 2.9e-06 8.8e-03 1.8e-04 1.00e+00 1.664384218e+02 1.664451908e+02 1.6e-09 0.60
65 2.6e-06 8.7e-03 1.6e-04 1.00e+00 1.664388683e+02 1.664449605e+02 1.4e-09 0.61
66 2.4e-06 8.7e-03 1.5e-04 1.00e+00 1.664392699e+02 1.664447529e+02 1.3e-09 0.61
67 2.1e-06 8.6e-03 1.3e-04 1.00e+00 1.664396311e+02 1.664445659e+02 1.1e-09 0.62
68 1.9e-06 8.5e-03 1.2e-04 1.00e+00 1.664399561e+02 1.664443974e+02 1.0e-09 0.63
69 1.7e-06 8.4e-03 1.1e-04 1.00e+00 1.664402485e+02 1.664442457e+02 9.2e-10 0.64
70 1.6e-06 8.4e-03 9.7e-05 1.00e+00 1.664405115e+02 1.664441090e+02 8.3e-10 0.64
71 1.4e-06 8.3e-03 8.7e-05 1.00e+00 1.664407481e+02 1.664439859e+02 7.5e-10 0.66
72 1.3e-06 8.3e-03 7.8e-05 1.00e+00 1.664409609e+02 1.664438750e+02 6.7e-10 0.67
73 1.1e-06 8.2e-03 7.0e-05 1.00e+00 1.664411524e+02 1.664437751e+02 6.1e-10 0.68
74 1.0e-06 8.2e-03 6.3e-05 1.00e+00 1.664413247e+02 1.664436851e+02 5.5e-10 0.68
75 9.2e-07 8.1e-03 5.7e-05 1.00e+00 1.664414797e+02 1.664436041e+02 4.9e-10 0.69
76 8.3e-07 8.1e-03 5.1e-05 1.00e+00 1.664416192e+02 1.664435311e+02 4.4e-10 0.70
77 7.5e-07 8.1e-03 4.6e-05 1.00e+00 1.664417446e+02 1.664434654e+02 4.0e-10 0.71
78 6.7e-07 8.0e-03 4.2e-05 1.00e+00 1.664418575e+02 1.664434062e+02 3.6e-10 0.71
79 6.1e-07 8.0e-03 3.7e-05 1.00e+00 1.664419590e+02 1.664433528e+02 3.2e-10 0.72
80 5.5e-07 8.0e-03 3.4e-05 1.00e+00 1.664420503e+02 1.664433048e+02 2.9e-10 0.73
81 4.9e-07 7.9e-03 3.0e-05 1.00e+00 1.664421325e+02 1.664432615e+02 2.6e-10 0.74
82 4.4e-07 7.9e-03 2.7e-05 1.00e+00 1.664422064e+02 1.664432225e+02 2.3e-10 0.75
83 4.0e-07 7.9e-03 2.5e-05 1.00e+00 1.664422728e+02 1.664431874e+02 2.1e-10 0.76
84 3.6e-07 7.9e-03 2.2e-05 1.00e+00 1.664423326e+02 1.664431558e+02 1.9e-10 0.77
85 3.2e-07 7.8e-03 2.0e-05 1.00e+00 1.664423865e+02 1.664431273e+02 1.7e-10 0.78
86 2.9e-07 7.8e-03 1.8e-05 1.00e+00 1.664424349e+02 1.664431016e+02 1.5e-10 0.78
87 2.6e-07 7.8e-03 1.6e-05 1.00e+00 1.664424785e+02 1.664430785e+02 1.4e-10 0.79
88 2.3e-07 7.8e-03 1.5e-05 1.00e+00 1.664425177e+02 1.664430577e+02 1.2e-10 0.80
89 2.1e-07 7.8e-03 1.3e-05 1.00e+00 1.664425530e+02 1.664430390e+02 1.1e-10 0.81
90 1.9e-07 7.7e-03 1.2e-05 1.00e+00 1.664425847e+02 1.664430222e+02 1.0e-10 0.82
91 1.7e-07 7.7e-03 1.1e-05 1.00e+00 1.664426133e+02 1.664430070e+02 9.1e-11 0.83
92 1.5e-07 7.7e-03 9.5e-06 1.00e+00 1.664426390e+02 1.664429934e+02 8.2e-11 0.84
93 1.4e-07 7.7e-03 8.6e-06 1.00e+00 1.664426622e+02 1.664429811e+02 7.4e-11 0.84
94 1.2e-07 7.7e-03 7.7e-06 1.00e+00 1.664426830e+02 1.664429701e+02 6.6e-11 0.85
95 1.1e-07 7.7e-03 6.9e-06 1.00e+00 1.664427018e+02 1.664429601e+02 6.0e-11 0.86
96 1.0e-07 7.7e-03 6.2e-06 1.00e+00 1.664427187e+02 1.664429512e+02 5.4e-11 0.87
97 9.1e-08 7.6e-03 5.6e-06 1.00e+00 1.664427339e+02 1.664429431e+02 4.8e-11 0.87
98 8.2e-08 7.6e-03 5.1e-06 1.00e+00 1.664427476e+02 1.664429359e+02 4.4e-11 0.88
99 7.4e-08 7.6e-03 4.6e-06 1.00e+00 1.664427599e+02 1.664429294e+02 3.9e-11 0.89
100 6.6e-08 6.9e-03 4.1e-06 1.00e+00 1.664427710e+02 1.664429234e+02 3.5e-11 0.90
101 6.0e-08 6.2e-03 3.7e-06 1.00e+00 1.664427809e+02 1.664429182e+02 3.2e-11 0.90
102 5.4e-08 5.6e-03 3.3e-06 1.00e+00 1.664427899e+02 1.664429134e+02 2.9e-11 0.91
103 4.8e-08 5.0e-03 3.0e-06 9.99e-01 1.664427980e+02 1.664429092e+02 2.6e-11 0.92
104 4.3e-08 4.5e-03 2.7e-06 1.00e+00 1.664428052e+02 1.664429053e+02 2.3e-11 0.93
105 3.9e-08 4.1e-03 2.4e-06 9.98e-01 1.664428118e+02 1.664429019e+02 2.1e-11 0.93
106 3.5e-08 3.6e-03 2.2e-06 1.00e+00 1.664428177e+02 1.664428987e+02 1.9e-11 0.94
107 3.2e-08 3.3e-03 2.0e-06 1.00e+00 1.664428230e+02 1.664428959e+02 1.7e-11 0.95
108 2.9e-08 3.0e-03 1.8e-06 1.00e+00 1.664428277e+02 1.664428934e+02 1.5e-11 0.96
109 2.6e-08 2.7e-03 1.6e-06 1.00e+00 1.664428320e+02 1.664428911e+02 1.4e-11 0.96
110 2.3e-08 2.4e-03 1.4e-06 9.97e-01 1.664428359e+02 1.664428891e+02 1.2e-11 0.97
111 2.1e-08 2.2e-03 1.3e-06 1.00e+00 1.664428394e+02 1.664428873e+02 1.1e-11 0.98
112 1.9e-08 1.9e-03 1.2e-06 9.98e-01 1.664428425e+02 1.664428857e+02 1.0e-11 0.99
113 1.7e-08 1.7e-03 1.0e-06 1.00e+00 1.664428453e+02 1.664428842e+02 9.0e-12 0.99
114 1.6e-08 1.6e-03 9.4e-07 9.77e-01 1.664428478e+02 1.664428830e+02 8.1e-12 1.00
115 1.4e-08 1.4e-03 8.4e-07 1.00e+00 1.664428501e+02 1.664428817e+02 7.3e-12 1.01
116 1.3e-08 1.3e-03 7.6e-07 9.88e-01 1.664428521e+02 1.664428807e+02 6.5e-12 1.02
117 1.2e-08 1.1e-03 6.8e-07 1.01e+00 1.664428541e+02 1.664428796e+02 5.9e-12 1.02
118 1.1e-08 1.0e-03 6.2e-07 1.00e+00 1.664428557e+02 1.664428787e+02 5.3e-12 1.03
119 9.6e-09 9.3e-04 5.5e-07 9.88e-01 1.664428572e+02 1.664428779e+02 4.8e-12 1.04
120 8.7e-09 8.3e-04 5.0e-07 9.93e-01 1.664428586e+02 1.664428772e+02 4.3e-12 1.05
121 1.9e-08 7.5e-04 4.5e-07 1.01e+00 1.664428598e+02 1.664428765e+02 3.9e-12 1.06
122 2.1e-08 6.8e-04 4.0e-07 1.01e+00 1.664428610e+02 1.664428759e+02 3.5e-12 1.07
123 1.9e-08 6.1e-04 3.6e-07 1.02e+00 1.664428620e+02 1.664428753e+02 3.2e-12 1.08
124 1.7e-08 5.5e-04 3.3e-07 1.00e+00 1.664428629e+02 1.664428748e+02 2.9e-12 1.10
125 1.5e-08 4.9e-04 2.9e-07 9.79e-01 1.664428637e+02 1.664428744e+02 2.6e-12 1.11
126 1.4e-08 4.4e-04 2.6e-07 1.02e+00 1.664428644e+02 1.664428740e+02 2.4e-12 1.12
127 1.3e-08 4.0e-04 2.4e-07 1.00e+00 1.664428650e+02 1.664428737e+02 2.1e-12 1.13
128 1.1e-08 3.6e-04 2.1e-07 1.02e+00 1.664428657e+02 1.664428734e+02 1.9e-12 1.14
129 1.1e-08 3.2e-04 1.9e-07 9.81e-01 1.664428662e+02 1.664428731e+02 1.7e-12 1.15
130 9.6e-09 2.9e-04 1.7e-07 9.92e-01 1.664428666e+02 1.664428729e+02 1.6e-12 1.16
131 8.7e-09 2.6e-04 1.6e-07 1.03e+00 1.664428671e+02 1.664428726e+02 1.4e-12 1.17
132 7.8e-09 2.4e-04 1.4e-07 9.97e-01 1.664428674e+02 1.664428724e+02 1.3e-12 1.18
133 6.9e-09 2.1e-04 1.3e-07 9.85e-01 1.664428677e+02 1.664428723e+02 1.2e-12 1.19
134 6.2e-09 1.9e-04 1.1e-07 9.94e-01 1.664428680e+02 1.664428721e+02 1.0e-12 1.20
135 5.6e-09 1.7e-04 1.0e-07 9.91e-01 1.664428683e+02 1.664428720e+02 9.3e-13 1.21
Optimizer terminated. Time: 1.21
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286830e+02 nrm: 2e+01 Viol. con: 2e-07 var: 0e+00
Dual. obj: 1.6644287195e+02 nrm: 1e+03 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.24 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
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. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
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.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
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 : 1.48e+04 after factor : 1.48e+05
Factor - dense dim. : 0 flops : 2.93e+07
Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.237706206e+05 2.000000000e+00 1.0e+00 0.05
1 1.7e+03 2.6e+03 9.0e+04 -9.71e-01 -1.230321596e+05 2.618476980e+00 7.3e-01 0.05
2 8.7e+02 1.4e+03 4.7e+04 -9.59e-01 -1.207092172e+05 4.631299788e+00 3.8e-01 0.06
3 2.9e+02 4.6e+02 1.6e+04 -9.21e-01 -1.116388875e+05 2.010679045e+01 1.3e-01 0.07
4 2.9e+02 4.5e+02 1.6e+04 -7.71e-01 -1.094230997e+05 1.962291865e+03 1.3e-01 0.08
5 1.2e+02 1.9e+02 6.4e+03 -7.61e-01 -8.785793218e+04 6.263182648e+03 5.2e-02 0.10
6 2.6e+01 4.1e+01 1.4e+03 -4.45e-01 -3.316835220e+04 1.269767615e+04 1.2e-02 0.11
7 1.7e+01 2.7e+01 9.2e+02 4.98e-01 -2.422632748e+04 7.083733147e+03 7.5e-03 0.12
8 1.0e+01 1.6e+01 5.4e+02 6.67e-01 -1.518713164e+04 4.349438842e+03 4.4e-03 0.13
9 4.0e+00 6.3e+00 2.2e+02 8.16e-01 -6.253806240e+03 1.985800338e+03 1.8e-03 0.14
10 2.1e+00 3.3e+00 1.1e+02 9.46e-01 -3.093879792e+03 1.203594049e+03 9.3e-04 0.15
11 8.4e-01 1.3e+00 4.6e+01 9.86e-01 -1.145500547e+03 6.338782408e+02 3.8e-04 0.16
12 8.2e-01 1.3e+00 4.5e+01 9.50e-01 -1.137960646e+03 6.093711314e+02 3.7e-04 0.17
13 5.2e-01 8.3e-01 2.9e+01 9.70e-01 -6.844600457e+02 4.368156380e+02 2.4e-04 0.17
14 3.3e-01 5.4e-01 1.9e+01 1.00e+00 -3.665602888e+02 3.537892051e+02 1.5e-04 0.19
15 1.1e-01 2.0e-01 6.3e+00 9.97e-01 -2.732814371e+01 2.163541368e+02 5.3e-05 0.20
16 8.4e-02 1.5e-01 4.7e+00 1.02e+00 2.245602987e+01 2.054082491e+02 4.0e-05 0.21
17 4.4e-02 9.1e-02 2.5e+00 1.02e+00 9.404505834e+01 1.878214886e+02 2.1e-05 0.22
18 1.5e-02 8.6e-02 8.4e-01 1.02e+00 1.425020548e+02 1.744453424e+02 7.1e-06 0.23
19 6.8e-03 7.5e-02 3.9e-01 1.01e+00 1.551720364e+02 1.698416553e+02 3.3e-06 0.23
20 1.6e-03 1.6e-01 9.8e-02 1.01e+00 1.637887523e+02 1.674579832e+02 8.2e-07 0.24
21 9.3e-04 1.1e-01 5.6e-02 9.78e-01 1.649100104e+02 1.670143929e+02 4.7e-07 0.25
22 2.9e-04 1.1e-01 1.8e-02 9.88e-01 1.659434069e+02 1.666331473e+02 1.6e-07 0.26
23 1.3e-04 9.3e-02 8.0e-03 1.01e+00 1.662132718e+02 1.665137253e+02 6.9e-08 0.26
24 1.1e-04 8.6e-02 7.2e-03 1.01e+00 1.662362811e+02 1.665066924e+02 6.2e-08 0.27
25 1.0e-04 7.8e-02 6.5e-03 1.01e+00 1.662550118e+02 1.664982554e+02 5.6e-08 0.28
26 9.1e-05 7.1e-02 5.9e-03 1.01e+00 1.662720854e+02 1.664909344e+02 5.1e-08 0.28
27 8.2e-05 6.4e-02 5.3e-03 1.01e+00 1.662873803e+02 1.664842821e+02 4.6e-08 0.29
28 7.4e-05 5.9e-02 4.7e-03 1.01e+00 1.663011123e+02 1.664782724e+02 4.1e-08 0.30
29 6.6e-05 5.3e-02 4.3e-03 1.01e+00 1.663134330e+02 1.664728330e+02 3.7e-08 0.30
30 6.0e-05 4.9e-02 3.8e-03 1.01e+00 1.663244890e+02 1.664679121e+02 3.3e-08 0.31
31 5.4e-05 4.5e-02 3.5e-03 1.01e+00 1.663344111e+02 1.664634611e+02 3.0e-08 0.32
32 4.8e-05 4.1e-02 3.1e-03 1.01e+00 1.663433169e+02 1.664594363e+02 2.7e-08 0.33
33 4.4e-05 3.8e-02 2.8e-03 1.01e+00 1.663513115e+02 1.664557980e+02 2.4e-08 0.33
34 3.9e-05 3.5e-02 2.5e-03 1.01e+00 1.663584889e+02 1.664525096e+02 2.2e-08 0.34
35 3.5e-05 3.2e-02 2.3e-03 1.01e+00 1.663649336e+02 1.664495382e+02 2.0e-08 0.35
36 3.2e-05 3.0e-02 2.0e-03 1.00e+00 1.663707209e+02 1.664468536e+02 1.8e-08 0.35
37 2.9e-05 2.7e-02 1.8e-03 1.00e+00 1.663759184e+02 1.664444285e+02 1.6e-08 0.36
38 2.6e-05 2.5e-02 1.7e-03 1.00e+00 1.663805867e+02 1.664422382e+02 1.4e-08 0.37
39 2.3e-05 2.4e-02 1.5e-03 1.00e+00 1.663847800e+02 1.664402602e+02 1.3e-08 0.38
40 2.1e-05 2.2e-02 1.3e-03 1.00e+00 1.663885470e+02 1.664384742e+02 1.2e-08 0.38
41 1.9e-05 2.1e-02 1.2e-03 1.00e+00 1.663919312e+02 1.664368618e+02 1.0e-08 0.39
42 1.7e-05 1.9e-02 1.1e-03 1.00e+00 1.663949719e+02 1.664354061e+02 9.4e-09 0.40
43 1.5e-05 1.8e-02 9.8e-04 1.00e+00 1.663977039e+02 1.664340922e+02 8.5e-09 0.41
44 1.4e-05 1.7e-02 8.8e-04 1.00e+00 1.664001590e+02 1.664329064e+02 7.6e-09 0.42
45 1.2e-05 1.6e-02 7.9e-04 1.00e+00 1.664023653e+02 1.664318363e+02 6.9e-09 0.42
46 1.1e-05 1.6e-02 7.1e-04 1.00e+00 1.664043481e+02 1.664308707e+02 6.2e-09 0.43
47 1.0e-05 1.5e-02 6.4e-04 1.00e+00 1.664061303e+02 1.664299996e+02 5.6e-09 0.44
48 9.0e-06 1.4e-02 5.8e-04 1.00e+00 1.664077322e+02 1.664292138e+02 5.0e-09 0.45
49 8.1e-06 1.4e-02 5.2e-04 1.00e+00 1.664091722e+02 1.664285050e+02 4.5e-09 0.46
50 7.3e-06 1.3e-02 4.7e-04 1.00e+00 1.664104668e+02 1.664278658e+02 4.1e-09 0.47
51 6.5e-06 1.2e-02 4.2e-04 1.00e+00 1.664116306e+02 1.664272894e+02 3.6e-09 0.48
52 5.9e-06 1.2e-02 3.8e-04 1.00e+00 1.664126770e+02 1.664267697e+02 3.3e-09 0.48
53 5.3e-06 1.2e-02 3.4e-04 1.00e+00 1.664136179e+02 1.664263011e+02 3.0e-09 0.49
54 4.8e-06 1.1e-02 3.1e-04 1.00e+00 1.664144640e+02 1.664258787e+02 2.7e-09 0.50
55 4.3e-06 1.1e-02 2.8e-04 1.00e+00 1.664152247e+02 1.664254979e+02 2.4e-09 0.50
56 3.9e-06 1.1e-02 2.5e-04 1.00e+00 1.664159088e+02 1.664251546e+02 2.2e-09 0.51
57 3.5e-06 1.0e-02 2.2e-04 1.00e+00 1.664165240e+02 1.664248452e+02 1.9e-09 0.52
58 3.1e-06 1.0e-02 2.0e-04 1.00e+00 1.664170772e+02 1.664245662e+02 1.7e-09 0.53
59 2.8e-06 1.0e-02 1.8e-04 1.00e+00 1.664175747e+02 1.664243148e+02 1.6e-09 0.54
60 2.5e-06 9.8e-03 1.6e-04 1.00e+00 1.664180222e+02 1.664240883e+02 1.4e-09 0.55
61 2.3e-06 9.7e-03 1.5e-04 1.00e+00 1.664184247e+02 1.664238842e+02 1.3e-09 0.57
62 2.1e-06 9.5e-03 1.3e-04 1.00e+00 1.664187868e+02 1.664237003e+02 1.1e-09 0.57
63 1.8e-06 9.4e-03 1.2e-04 1.00e+00 1.664191125e+02 1.664235347e+02 1.0e-09 0.58
64 1.7e-06 9.2e-03 1.1e-04 1.00e+00 1.664194056e+02 1.664233856e+02 9.3e-10 0.59
65 1.5e-06 9.1e-03 9.6e-05 1.00e+00 1.664196692e+02 1.664232513e+02 8.3e-10 0.59
66 1.3e-06 9.0e-03 8.7e-05 1.00e+00 1.664199064e+02 1.664231303e+02 7.5e-10 0.60
67 1.2e-06 8.9e-03 7.8e-05 1.00e+00 1.664201198e+02 1.664230213e+02 6.8e-10 0.61
68 1.1e-06 8.8e-03 7.0e-05 1.00e+00 1.664203118e+02 1.664229232e+02 6.1e-10 0.62
69 9.8e-07 8.7e-03 6.3e-05 1.00e+00 1.664204846e+02 1.664228348e+02 5.5e-10 0.63
70 8.8e-07 8.6e-03 5.7e-05 1.00e+00 1.664206400e+02 1.664227552e+02 4.9e-10 0.64
71 8.0e-07 8.6e-03 5.1e-05 1.00e+00 1.664207798e+02 1.664226835e+02 4.4e-10 0.65
72 7.2e-07 8.5e-03 4.6e-05 1.00e+00 1.664209056e+02 1.664226189e+02 4.0e-10 0.65
73 6.4e-07 8.4e-03 4.2e-05 1.00e+00 1.664210187e+02 1.664225608e+02 3.6e-10 0.66
74 5.8e-07 8.4e-03 3.7e-05 1.00e+00 1.664211205e+02 1.664225084e+02 3.2e-10 0.67
75 5.2e-07 8.3e-03 3.4e-05 1.00e+00 1.664212121e+02 1.664224611e+02 2.9e-10 0.68
76 4.7e-07 8.3e-03 3.0e-05 1.00e+00 1.664212945e+02 1.664224186e+02 2.6e-10 0.69
77 4.2e-07 8.2e-03 2.7e-05 1.00e+00 1.664213686e+02 1.664223803e+02 2.4e-10 0.70
78 3.8e-07 8.2e-03 2.5e-05 1.00e+00 1.664214352e+02 1.664223458e+02 2.1e-10 0.71
79 3.4e-07 8.1e-03 2.2e-05 1.00e+00 1.664214952e+02 1.664223147e+02 1.9e-10 0.72
80 3.1e-07 8.1e-03 2.0e-05 1.00e+00 1.664215491e+02 1.664222867e+02 1.7e-10 0.74
81 2.8e-07 8.1e-03 1.8e-05 1.00e+00 1.664215977e+02 1.664222615e+02 1.5e-10 0.74
82 2.5e-07 8.0e-03 1.6e-05 1.00e+00 1.664216413e+02 1.664222387e+02 1.4e-10 0.75
83 2.2e-07 8.0e-03 1.4e-05 1.00e+00 1.664216806e+02 1.664222183e+02 1.3e-10 0.77
84 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664217160e+02 1.664221999e+02 1.1e-10 0.78
85 1.8e-07 7.9e-03 1.2e-05 1.00e+00 1.664217478e+02 1.664221833e+02 1.0e-10 0.78
86 1.6e-07 7.9e-03 1.1e-05 1.00e+00 1.664217764e+02 1.664221684e+02 9.1e-11 0.79
87 1.5e-07 7.9e-03 9.5e-06 1.00e+00 1.664218022e+02 1.664221550e+02 8.2e-11 0.80
88 1.3e-07 7.9e-03 8.6e-06 1.00e+00 1.664218254e+02 1.664221429e+02 7.4e-11 0.81
89 1.2e-07 7.8e-03 7.7e-06 1.00e+00 1.664218463e+02 1.664221320e+02 6.7e-11 0.81
90 1.1e-07 7.8e-03 6.9e-06 1.00e+00 1.664218650e+02 1.664221222e+02 6.0e-11 0.82
91 9.7e-08 7.8e-03 6.2e-06 1.00e+00 1.664218819e+02 1.664221134e+02 5.4e-11 0.83
92 8.7e-08 7.8e-03 5.6e-06 1.00e+00 1.664218971e+02 1.664221055e+02 4.9e-11 0.84
93 7.8e-08 7.8e-03 5.1e-06 1.00e+00 1.664219108e+02 1.664220983e+02 4.4e-11 0.85
94 7.1e-08 7.8e-03 4.5e-06 1.00e+00 1.664219231e+02 1.664220919e+02 3.9e-11 0.86
95 6.4e-08 7.7e-03 4.1e-06 1.00e+00 1.664219342e+02 1.664220861e+02 3.5e-11 0.87
96 5.7e-08 7.0e-03 3.7e-06 1.00e+00 1.664219443e+02 1.664220807e+02 3.2e-11 0.88
97 5.1e-08 6.3e-03 3.3e-06 1.00e+00 1.664219532e+02 1.664220760e+02 2.9e-11 0.88
98 4.6e-08 5.6e-03 3.0e-06 1.00e+00 1.664219613e+02 1.664220718e+02 2.6e-11 0.89
99 4.2e-08 5.1e-03 2.7e-06 9.99e-01 1.664219686e+02 1.664220680e+02 2.3e-11 0.90
100 3.8e-08 4.6e-03 2.4e-06 1.00e+00 1.664219751e+02 1.664220646e+02 2.1e-11 0.91
101 3.4e-08 4.1e-03 2.2e-06 9.99e-01 1.664219810e+02 1.664220616e+02 1.9e-11 0.92
102 3.0e-08 3.7e-03 2.0e-06 1.00e+00 1.664219863e+02 1.664220588e+02 1.7e-11 0.92
103 2.7e-08 3.3e-03 1.8e-06 9.97e-01 1.664219910e+02 1.664220564e+02 1.5e-11 0.93
104 2.5e-08 3.0e-03 1.6e-06 1.00e+00 1.664219953e+02 1.664220542e+02 1.4e-11 0.94
105 2.2e-08 2.7e-03 1.4e-06 9.98e-01 1.664219992e+02 1.664220521e+02 1.2e-11 0.95
106 2.0e-08 2.4e-03 1.3e-06 1.00e+00 1.664220027e+02 1.664220503e+02 1.1e-11 0.96
107 1.8e-08 2.2e-03 1.2e-06 1.00e+00 1.664220058e+02 1.664220487e+02 1.0e-11 0.97
108 1.6e-08 2.0e-03 1.0e-06 1.00e+00 1.664220086e+02 1.664220472e+02 9.0e-12 0.98
109 1.5e-08 1.8e-03 9.4e-07 9.97e-01 1.664220112e+02 1.664220459e+02 8.1e-12 0.98
110 1.3e-08 1.6e-03 8.4e-07 1.00e+00 1.664220134e+02 1.664220447e+02 7.3e-12 1.00
111 1.2e-08 1.4e-03 7.6e-07 9.96e-01 1.664220155e+02 1.664220437e+02 6.6e-12 1.01
112 1.1e-08 1.3e-03 6.8e-07 9.99e-01 1.664220173e+02 1.664220427e+02 5.9e-12 1.01
113 9.6e-09 1.2e-03 6.1e-07 9.97e-01 1.664220190e+02 1.664220418e+02 5.3e-12 1.02
114 8.6e-09 1.0e-03 5.5e-07 9.91e-01 1.664220205e+02 1.664220410e+02 4.8e-12 1.03
115 7.8e-09 9.4e-04 5.0e-07 1.01e+00 1.664220219e+02 1.664220403e+02 4.3e-12 1.04
116 7.0e-09 8.5e-04 4.5e-07 9.92e-01 1.664220231e+02 1.664220397e+02 3.9e-12 1.05
117 1.4e-08 7.6e-04 4.0e-07 1.02e+00 1.664220242e+02 1.664220394e+02 3.5e-12 1.06
118 2.0e-08 6.9e-04 3.6e-07 9.99e-01 1.664220252e+02 1.664220387e+02 3.2e-12 1.07
119 1.8e-08 6.2e-04 3.3e-07 1.01e+00 1.664220261e+02 1.664220382e+02 2.9e-12 1.07
120 3.3e-08 5.6e-04 2.9e-07 9.98e-01 1.664220268e+02 1.664220382e+02 2.6e-12 1.08
121 2.2e-08 5.0e-04 2.6e-07 9.99e-01 1.664220276e+02 1.664220373e+02 2.3e-12 1.09
122 2.0e-08 4.5e-04 2.4e-07 1.01e+00 1.664220282e+02 1.664220370e+02 2.1e-12 1.10
123 1.8e-08 4.1e-04 2.1e-07 1.00e+00 1.664220288e+02 1.664220367e+02 1.9e-12 1.11
124 1.7e-08 3.7e-04 1.9e-07 1.02e+00 1.664220294e+02 1.664220364e+02 1.7e-12 1.12
125 1.5e-08 3.3e-04 1.7e-07 1.01e+00 1.664220298e+02 1.664220361e+02 1.5e-12 1.13
126 1.3e-08 3.0e-04 1.6e-07 1.00e+00 1.664220303e+02 1.664220359e+02 1.4e-12 1.14
127 1.2e-08 2.7e-04 1.4e-07 9.96e-01 1.664220306e+02 1.664220357e+02 1.2e-12 1.15
128 1.1e-08 2.4e-04 1.3e-07 1.01e+00 1.664220310e+02 1.664220355e+02 1.1e-12 1.16
129 9.9e-09 2.2e-04 1.1e-07 1.00e+00 1.664220313e+02 1.664220354e+02 1.0e-12 1.17
130 1.0e-09 2.2e-05 1.2e-08 1.00e+00 1.664220337e+02 1.664220341e+02 1.0e-13 1.18
Optimizer terminated. Time: 1.18
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203368e+02 nrm: 2e+01 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6642203410e+02 nrm: 1e+03 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.22 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (312) of matrix 'A'.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
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. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 472
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
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.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 868
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 : 1.48e+04 after factor : 1.48e+05
Factor - dense dim. : 0 flops : 2.93e+07
Factor - GP saved nzs : 3.33e+04 GP saved flops : 9.12e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.6e+03 1.2e+05 0.00e+00 -1.237697757e+05 2.000000000e+00 1.0e+00 0.04
1 1.7e+03 2.6e+03 9.0e+04 -9.71e-01 -1.230310708e+05 2.618658392e+00 7.3e-01 0.06
2 8.7e+02 1.4e+03 4.7e+04 -9.59e-01 -1.207072283e+05 4.631967602e+00 3.8e-01 0.07
3 2.9e+02 4.6e+02 1.6e+04 -9.21e-01 -1.116239239e+05 2.011668198e+01 1.3e-01 0.07
4 2.9e+02 4.5e+02 1.6e+04 -7.71e-01 -1.094044853e+05 1.966473714e+03 1.3e-01 0.08
5 1.2e+02 1.9e+02 6.4e+03 -7.61e-01 -8.784053867e+04 6.251650733e+03 5.2e-02 0.09
6 2.6e+01 4.1e+01 1.4e+03 -4.45e-01 -3.306603809e+04 1.270142506e+04 1.2e-02 0.10
7 1.7e+01 2.7e+01 9.1e+02 4.99e-01 -2.410345416e+04 7.059532995e+03 7.5e-03 0.11
8 9.9e+00 1.6e+01 5.4e+02 6.69e-01 -1.509576583e+04 4.325329085e+03 4.4e-03 0.12
9 3.9e+00 6.2e+00 2.1e+02 8.17e-01 -6.165428475e+03 1.962599328e+03 1.8e-03 0.13
10 2.0e+00 3.2e+00 1.1e+02 9.46e-01 -3.034895445e+03 1.193153232e+03 9.1e-04 0.13
11 8.5e-01 1.3e+00 4.7e+01 9.86e-01 -1.168555856e+03 6.294711099e+02 3.9e-04 0.14
12 8.2e-01 1.3e+00 4.5e+01 9.51e-01 -1.158089507e+03 6.045830226e+02 3.8e-04 0.15
13 5.2e-01 8.3e-01 2.9e+01 9.70e-01 -6.910803073e+02 4.348560115e+02 2.4e-04 0.16
14 3.3e-01 5.3e-01 1.8e+01 1.00e+00 -3.582552166e+02 3.500458516e+02 1.5e-04 0.17
15 1.1e-01 2.0e-01 6.2e+00 9.97e-01 -2.527655392e+01 2.158431403e+02 5.2e-05 0.18
16 8.3e-02 1.5e-01 4.7e+00 1.02e+00 2.363102125e+01 2.049700552e+02 3.9e-05 0.19
17 4.1e-02 8.8e-02 2.3e+00 1.02e+00 9.799313343e+01 1.868005351e+02 1.9e-05 0.20
18 1.1e-02 1.7e-01 6.3e-01 1.02e+00 1.487956591e+02 1.727754642e+02 5.3e-06 0.21
19 3.5e-03 2.0e-01 2.1e-01 1.01e+00 1.605532700e+02 1.683301713e+02 1.7e-06 0.22
20 1.3e-03 1.4e-01 8.0e-02 1.01e+00 1.642277735e+02 1.672301862e+02 6.8e-07 0.23
21 8.8e-04 1.0e-01 5.3e-02 9.84e-01 1.649840636e+02 1.669558345e+02 4.5e-07 0.24
22 2.6e-04 1.1e-01 1.7e-02 9.86e-01 1.659721215e+02 1.665916548e+02 1.4e-07 0.25
23 9.3e-05 1.1e-01 6.0e-03 1.01e+00 1.662531933e+02 1.664754263e+02 5.2e-08 0.26
24 3.5e-05 1.0e-01 2.3e-03 1.01e+00 1.663489963e+02 1.664340420e+02 2.0e-08 0.27
25 1.6e-05 8.4e-02 1.1e-03 1.00e+00 1.663808103e+02 1.664201668e+02 9.4e-09 0.28
26 1.5e-05 7.7e-02 9.6e-04 1.00e+00 1.663840618e+02 1.664194962e+02 8.4e-09 0.29
27 1.3e-05 7.0e-02 8.6e-04 1.01e+00 1.663864463e+02 1.664183305e+02 7.6e-09 0.30
28 1.2e-05 6.3e-02 7.7e-04 1.00e+00 1.663886321e+02 1.664173227e+02 6.8e-09 0.31
29 1.1e-05 5.8e-02 7.0e-04 1.00e+00 1.663905903e+02 1.664164076e+02 6.2e-09 0.32
30 9.6e-06 5.3e-02 6.3e-04 1.00e+00 1.663923512e+02 1.664155833e+02 5.5e-09 0.33
31 8.7e-06 4.8e-02 5.6e-04 1.00e+00 1.663939340e+02 1.664148400e+02 5.0e-09 0.34
32 7.8e-06 4.4e-02 5.1e-04 1.00e+00 1.663953569e+02 1.664141700e+02 4.5e-09 0.35
33 7.0e-06 4.1e-02 4.6e-04 1.00e+00 1.663966362e+02 1.664135660e+02 4.0e-09 0.36
34 6.3e-06 3.7e-02 4.1e-04 1.00e+00 1.663977864e+02 1.664130217e+02 3.6e-09 0.37
35 5.7e-06 3.5e-02 3.7e-04 1.00e+00 1.663988207e+02 1.664125312e+02 3.3e-09 0.38
36 5.1e-06 3.2e-02 3.3e-04 1.00e+00 1.663997507e+02 1.664120891e+02 2.9e-09 0.38
37 4.6e-06 2.9e-02 3.0e-04 1.00e+00 1.664005870e+02 1.664116908e+02 2.6e-09 0.40
38 4.1e-06 2.7e-02 2.7e-04 1.00e+00 1.664013391e+02 1.664113318e+02 2.4e-09 0.41
39 3.7e-06 2.5e-02 2.4e-04 1.00e+00 1.664020155e+02 1.664110084e+02 2.1e-09 0.41
40 3.4e-06 2.4e-02 2.2e-04 1.00e+00 1.664026238e+02 1.664107169e+02 1.9e-09 0.43
41 3.0e-06 2.2e-02 2.0e-04 1.00e+00 1.664031708e+02 1.664104542e+02 1.7e-09 0.44
42 2.7e-06 2.1e-02 1.8e-04 1.00e+00 1.664036628e+02 1.664102176e+02 1.6e-09 0.45
43 2.4e-06 1.9e-02 1.6e-04 1.00e+00 1.664041053e+02 1.664100044e+02 1.4e-09 0.46
44 2.2e-06 1.8e-02 1.4e-04 1.00e+00 1.664045034e+02 1.664098124e+02 1.3e-09 0.47
45 2.0e-06 1.7e-02 1.3e-04 1.00e+00 1.664048615e+02 1.664096395e+02 1.1e-09 0.48
46 1.8e-06 1.6e-02 1.2e-04 1.00e+00 1.664051837e+02 1.664094838e+02 1.0e-09 0.49
47 1.6e-06 1.5e-02 1.0e-04 1.00e+00 1.664054736e+02 1.664093436e+02 9.2e-10 0.50
48 1.4e-06 1.5e-02 9.4e-05 1.00e+00 1.664057344e+02 1.664092173e+02 8.3e-10 0.51
49 1.3e-06 1.4e-02 8.5e-05 1.00e+00 1.664059691e+02 1.664091036e+02 7.5e-10 0.52
50 1.2e-06 1.3e-02 7.6e-05 1.00e+00 1.664061802e+02 1.664090012e+02 6.7e-10 0.53
51 1.1e-06 1.3e-02 6.9e-05 1.00e+00 1.664063701e+02 1.664089090e+02 6.1e-10 0.54
52 9.5e-07 1.2e-02 6.2e-05 1.00e+00 1.664065410e+02 1.664088260e+02 5.5e-10 0.55
53 8.5e-07 1.2e-02 5.6e-05 1.00e+00 1.664066948e+02 1.664087512e+02 4.9e-10 0.56
54 7.7e-07 1.1e-02 5.0e-05 1.00e+00 1.664068331e+02 1.664086839e+02 4.4e-10 0.56
55 6.9e-07 1.1e-02 4.5e-05 1.00e+00 1.664069575e+02 1.664086232e+02 4.0e-10 0.57
56 6.2e-07 1.1e-02 4.1e-05 1.00e+00 1.664070695e+02 1.664085686e+02 3.6e-10 0.59
57 5.6e-07 1.0e-02 3.7e-05 1.00e+00 1.664071702e+02 1.664085194e+02 3.2e-10 0.60
58 5.0e-07 1.0e-02 3.3e-05 1.00e+00 1.664072608e+02 1.664084750e+02 2.9e-10 0.61
59 4.5e-07 9.9e-03 3.0e-05 1.00e+00 1.664073423e+02 1.664084351e+02 2.6e-10 0.61
60 4.1e-07 9.7e-03 2.7e-05 1.00e+00 1.664074156e+02 1.664083991e+02 2.4e-10 0.63
61 3.7e-07 9.5e-03 2.4e-05 1.00e+00 1.664074815e+02 1.664083667e+02 2.1e-10 0.64
62 3.3e-07 9.3e-03 2.2e-05 1.00e+00 1.664075408e+02 1.664083374e+02 1.9e-10 0.65
63 3.0e-07 9.2e-03 1.9e-05 1.00e+00 1.664075942e+02 1.664083111e+02 1.7e-10 0.66
64 2.7e-07 9.0e-03 1.7e-05 1.00e+00 1.664076422e+02 1.664082874e+02 1.5e-10 0.67
65 2.4e-07 8.9e-03 1.6e-05 1.00e+00 1.664076853e+02 1.664082661e+02 1.4e-10 0.68
66 2.2e-07 8.8e-03 1.4e-05 1.00e+00 1.664077242e+02 1.664082469e+02 1.2e-10 0.68
67 2.0e-07 8.7e-03 1.3e-05 1.00e+00 1.664077592e+02 1.664082296e+02 1.1e-10 0.69
68 1.8e-07 8.6e-03 1.1e-05 1.00e+00 1.664077906e+02 1.664082140e+02 1.0e-10 0.70
69 1.6e-07 8.5e-03 1.0e-05 1.00e+00 1.664078190e+02 1.664082000e+02 9.1e-11 0.71
70 1.4e-07 8.4e-03 9.3e-06 1.00e+00 1.664078444e+02 1.664081874e+02 8.2e-11 0.73
71 1.3e-07 8.3e-03 8.4e-06 1.00e+00 1.664078674e+02 1.664081760e+02 7.4e-11 0.74
72 1.2e-07 8.2e-03 7.5e-06 1.00e+00 1.664078880e+02 1.664081658e+02 6.6e-11 0.75
73 1.0e-07 8.2e-03 6.8e-06 1.00e+00 1.664079065e+02 1.664081567e+02 6.0e-11 0.76
74 9.3e-08 8.1e-03 6.1e-06 1.00e+00 1.664079232e+02 1.664081484e+02 5.4e-11 0.77
75 8.4e-08 8.1e-03 5.5e-06 1.00e+00 1.664079383e+02 1.664081409e+02 4.8e-11 0.78
76 7.6e-08 8.0e-03 4.9e-06 1.00e+00 1.664079518e+02 1.664081342e+02 4.4e-11 0.79
77 6.8e-08 8.0e-03 4.4e-06 1.00e+00 1.664079640e+02 1.664081281e+02 3.9e-11 0.80
78 6.1e-08 7.9e-03 4.0e-06 1.00e+00 1.664079750e+02 1.664081227e+02 3.5e-11 0.81
79 5.5e-08 7.9e-03 3.6e-06 1.00e+00 1.664079848e+02 1.664081178e+02 3.2e-11 0.81
80 5.0e-08 7.9e-03 3.2e-06 1.00e+00 1.664079937e+02 1.664081134e+02 2.9e-11 0.83
81 4.5e-08 7.9e-03 2.9e-06 1.00e+00 1.664080017e+02 1.664081094e+02 2.6e-11 0.84
82 4.0e-08 7.8e-03 2.6e-06 1.00e+00 1.664080089e+02 1.664081058e+02 2.3e-11 0.85
83 3.6e-08 7.8e-03 2.4e-06 1.00e+00 1.664080153e+02 1.664081026e+02 2.1e-11 0.86
84 3.3e-08 7.8e-03 2.1e-06 1.00e+00 1.664080212e+02 1.664080997e+02 1.9e-11 0.87
85 2.9e-08 7.8e-03 1.9e-06 1.00e+00 1.664080264e+02 1.664080970e+02 1.7e-11 0.88
86 2.6e-08 7.7e-03 1.7e-06 1.00e+00 1.664080311e+02 1.664080947e+02 1.5e-11 0.89
87 2.4e-08 7.7e-03 1.5e-06 9.99e-01 1.664080354e+02 1.664080926e+02 1.4e-11 0.90
88 2.1e-08 7.7e-03 1.4e-06 1.00e+00 1.664080392e+02 1.664080907e+02 1.2e-11 0.91
89 1.9e-08 7.7e-03 1.3e-06 1.00e+00 1.664080426e+02 1.664080890e+02 1.1e-11 0.92
90 1.7e-08 7.6e-03 1.1e-06 9.93e-01 1.664080457e+02 1.664080875e+02 1.0e-11 0.93
91 1.6e-08 7.6e-03 1.0e-06 9.96e-01 1.664080485e+02 1.664080861e+02 9.0e-12 0.94
92 1.4e-08 7.6e-03 9.1e-07 1.00e+00 1.664080510e+02 1.664080848e+02 8.1e-12 0.95
93 1.3e-08 6.8e-03 8.2e-07 1.01e+00 1.664080533e+02 1.664080837e+02 7.3e-12 0.96
94 1.2e-08 6.2e-03 7.4e-07 9.98e-01 1.664080553e+02 1.664080827e+02 6.6e-12 0.97
95 1.0e-08 5.5e-03 6.7e-07 9.97e-01 1.664080571e+02 1.664080818e+02 5.9e-12 0.98
96 9.4e-09 5.0e-03 6.0e-07 9.95e-01 1.664080588e+02 1.664080810e+02 5.3e-12 0.99
97 8.4e-09 4.5e-03 5.4e-07 1.00e+00 1.664080603e+02 1.664080802e+02 4.8e-12 1.00
98 7.5e-09 4.0e-03 4.9e-07 9.83e-01 1.664080616e+02 1.664080795e+02 4.3e-12 1.01
99 6.8e-09 3.6e-03 4.4e-07 9.99e-01 1.664080628e+02 1.664080789e+02 3.9e-12 1.01
100 6.1e-09 3.3e-03 3.9e-07 1.02e+00 1.664080639e+02 1.664080784e+02 3.5e-12 1.03
101 5.5e-09 2.9e-03 3.5e-07 1.01e+00 1.664080649e+02 1.664080779e+02 3.2e-12 1.03
102 4.9e-09 2.6e-03 3.2e-07 1.02e+00 1.664080658e+02 1.664080774e+02 2.9e-12 1.04
103 4.4e-09 2.4e-03 2.9e-07 1.01e+00 1.664080666e+02 1.664080770e+02 2.6e-12 1.05
104 4.0e-09 2.1e-03 2.6e-07 1.04e+00 1.664080674e+02 1.664080765e+02 2.4e-12 1.07
105 3.7e-09 1.9e-03 2.3e-07 1.00e+00 1.664080680e+02 1.664080763e+02 2.1e-12 1.07
106 3.3e-09 1.7e-03 2.1e-07 1.04e+00 1.664080687e+02 1.664080759e+02 2.0e-12 1.08
107 2.9e-09 1.6e-03 1.9e-07 9.99e-01 1.664080692e+02 1.664080757e+02 1.8e-12 1.10
108 2.6e-09 1.4e-03 1.7e-07 9.99e-01 1.664080696e+02 1.664080755e+02 1.6e-12 1.10
109 2.4e-09 1.3e-03 1.5e-07 1.00e+00 1.664080700e+02 1.664080753e+02 1.4e-12 1.11
110 2.2e-09 1.1e-03 1.4e-07 1.00e+00 1.664080704e+02 1.664080751e+02 1.3e-12 1.12
111 1.9e-09 1.0e-03 1.2e-07 1.01e+00 1.664080707e+02 1.664080749e+02 1.2e-12 1.13
112 1.7e-09 9.2e-04 1.1e-07 9.94e-01 1.664080710e+02 1.664080748e+02 1.0e-12 1.14
113 1.6e-09 8.3e-04 1.0e-07 1.00e+00 1.664080712e+02 1.664080747e+02 9.5e-13 1.15
Optimizer terminated. Time: 1.15
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807123e+02 nrm: 2e+01 Viol. con: 2e-08 var: 0e+00
Dual. obj: 1.6640807466e+02 nrm: 1e+03 Viol. con: 0e+00 var: 5e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.18 seconds.
Solving took 9 GP solves and 18.3 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: 1.495742457694431e+110 vs 1.4956976656e+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: 3.7050980759335926e+72 vs 3.70502020539e+72
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682113]
Total Aircraft Weight Percent Diff: [-21.48054877]
Engine Weight Percent Diff: -56.278166751133654
Fuselage Weight Percent Diff: -0.8697062242189039
Payload Weight Percent Diff: [-0.04003553]
VT Weight Percent Diff: -8.607369318686331
HT Weight Percent Diff: -93.23322032086058
Wing Weight Percent Diff: 8.26743549310153
WING DIFFERENCES
Wing Span Percent Diff: -0.029997996845333903
Wing Area Percent Diff: 32.90022842687177
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.489576650137494
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.022306825728005
VT Area Percent Diff: -60.38680571118094
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54737792]
L/D Percent Diff: [24.01020217]
Nacelle Cd Percent Diff: [-94.27640436]
HT Cd Percent Diff: [-80.76934841] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00304986] dimensionless
Wing Cd percent Diff: [-14.22936117]
Induced Drag Cd Percent Diff: [1.21931584]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57035921]
FUSELAGE DIFFERENCES
Weight of HB material: -38.35923841364424
Weight of VB material: 87.8307550215667
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260527]
Mission1
========
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission1.Aircraft.Wing.WingBox.N_{lift} = 3
Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/781)^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/781)^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission1.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission1.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*Mission1.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission1.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission1.Aircraft.Wing.WingBox.r_{w/c} = Mission1.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission1.Aircraft.Fuselage.N_{lift} = Mission1.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission1.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission1.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission1.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission1.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1748 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 471
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
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.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 869
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 : 1.48e+04 after factor : 1.46e+05
Factor - dense dim. : 0 flops : 2.87e+07
Factor - GP saved nzs : 3.32e+04 GP saved flops : 9.06e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.1e+03 1.2e+05 0.00e+00 -1.225677090e+05 2.000000000e+00 1.0e+00 0.03
1 1.6e+03 2.1e+03 8.4e+04 -9.71e-01 -1.216848616e+05 2.766603376e+00 6.9e-01 0.04
2 8.2e+02 1.1e+03 4.4e+04 -9.57e-01 -1.192284454e+05 5.074629256e+00 3.6e-01 0.05
3 2.9e+02 3.9e+02 1.6e+04 -9.16e-01 -1.104950334e+05 2.156321042e+01 1.3e-01 0.06
4 2.9e+02 3.9e+02 1.6e+04 -7.68e-01 -1.085357608e+05 1.724066982e+03 1.3e-01 0.06
5 1.1e+02 1.5e+02 6.0e+03 -7.59e-01 -8.496747542e+04 6.645584441e+03 4.9e-02 0.07
6 3.8e+01 5.0e+01 2.0e+03 -4.14e-01 -4.573108853e+04 1.064008602e+04 1.7e-02 0.08
7 2.0e+01 2.7e+01 1.1e+03 2.50e-01 -2.853524473e+04 6.956951010e+03 9.0e-03 0.08
8 9.4e+00 1.3e+01 5.1e+02 5.70e-01 -1.401680654e+04 4.219068590e+03 4.2e-03 0.09
9 4.7e+00 6.4e+00 2.6e+02 8.27e-01 -7.046366663e+03 2.497942694e+03 2.1e-03 0.10
10 1.4e+00 1.9e+00 7.8e+01 9.33e-01 -2.013352976e+03 9.403827672e+02 6.4e-04 0.11
11 6.4e-01 8.6e-01 3.5e+01 9.93e-01 -6.804485566e+02 6.596896968e+02 2.9e-04 0.11
12 4.8e-01 6.5e-01 2.6e+01 9.96e-01 -4.518204661e+02 5.573058292e+02 2.2e-04 0.12
13 3.5e-01 7.3e-01 1.9e+01 9.80e-01 -2.686036694e+02 4.735665754e+02 1.6e-04 0.13
14 1.7e-01 3.6e-01 9.5e+00 9.96e-01 -1.706351213e+00 3.632401846e+02 7.9e-05 0.13
15 5.7e-02 1.5e-01 3.2e+00 9.94e-01 1.663588588e+02 2.900324402e+02 2.7e-05 0.14
16 3.3e-02 1.3e-01 1.9e+00 1.00e+00 2.025528074e+02 2.744117059e+02 1.6e-05 0.15
17 5.1e-03 1.9e-01 3.2e-01 1.00e+00 2.450077405e+02 2.572047198e+02 2.8e-06 0.16
18 1.5e-03 1.3e-01 9.4e-02 1.00e+00 2.510860215e+02 2.546831567e+02 8.5e-07 0.16
19 4.8e-04 1.1e-01 3.1e-02 1.00e+00 2.528335324e+02 2.540184841e+02 2.8e-07 0.17
20 2.1e-04 8.8e-02 1.3e-02 1.00e+00 2.533175848e+02 2.538309261e+02 1.2e-07 0.18
21 1.9e-04 8.0e-02 1.2e-02 1.00e+00 2.533556918e+02 2.538177109e+02 1.1e-07 0.19
22 1.7e-04 7.3e-02 1.1e-02 1.00e+00 2.533889178e+02 2.538047106e+02 9.9e-08 0.20
23 1.5e-04 6.6e-02 9.8e-03 1.00e+00 2.534188561e+02 2.537930533e+02 9.0e-08 0.20
24 1.4e-04 6.0e-02 8.8e-03 1.00e+00 2.534457755e+02 2.537825390e+02 8.1e-08 0.21
25 1.2e-04 5.5e-02 7.9e-03 1.00e+00 2.534699859e+02 2.537730615e+02 7.3e-08 0.22
26 1.1e-04 5.0e-02 7.1e-03 1.00e+00 2.534917592e+02 2.537645177e+02 6.5e-08 0.22
27 1.0e-04 4.6e-02 6.4e-03 1.00e+00 2.535113429e+02 2.537568176e+02 5.9e-08 0.23
28 9.0e-05 4.2e-02 5.8e-03 1.00e+00 2.535289580e+02 2.537498787e+02 5.3e-08 0.24
29 8.1e-05 3.9e-02 5.2e-03 1.00e+00 2.535448032e+02 2.537436266e+02 4.8e-08 0.25
30 7.3e-05 3.6e-02 4.7e-03 1.00e+00 2.535590570e+02 2.537379938e+02 4.3e-08 0.26
31 6.6e-05 3.3e-02 4.2e-03 1.00e+00 2.535718796e+02 2.537329193e+02 3.9e-08 0.27
32 5.9e-05 3.0e-02 3.8e-03 1.00e+00 2.535834151e+02 2.537283480e+02 3.5e-08 0.27
33 5.3e-05 2.8e-02 3.4e-03 1.00e+00 2.535937929e+02 2.537242304e+02 3.1e-08 0.28
34 4.8e-05 2.6e-02 3.1e-03 1.00e+00 2.536031295e+02 2.537205215e+02 2.8e-08 0.29
35 4.3e-05 2.4e-02 2.8e-03 1.00e+00 2.536115294e+02 2.537171809e+02 2.5e-08 0.30
36 3.9e-05 2.2e-02 2.5e-03 1.00e+00 2.536190868e+02 2.537141721e+02 2.3e-08 0.31
37 3.5e-05 2.1e-02 2.2e-03 1.00e+00 2.536258864e+02 2.537114623e+02 2.0e-08 0.32
38 3.1e-05 2.0e-02 2.0e-03 1.00e+00 2.536320042e+02 2.537090219e+02 1.8e-08 0.33
39 2.8e-05 1.8e-02 1.8e-03 1.00e+00 2.536375087e+02 2.537068241e+02 1.7e-08 0.34
40 2.5e-05 1.7e-02 1.6e-03 1.00e+00 2.536424614e+02 2.537048450e+02 1.5e-08 0.34
41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536469178e+02 2.537030627e+02 1.3e-08 0.35
42 2.1e-05 1.6e-02 1.3e-03 1.00e+00 2.536509277e+02 2.537014579e+02 1.2e-08 0.36
43 1.9e-05 1.5e-02 1.2e-03 1.00e+00 2.536545358e+02 2.537000129e+02 1.1e-08 0.36
44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536577825e+02 2.536987118e+02 9.8e-09 0.37
45 1.5e-05 1.3e-02 9.6e-04 1.00e+00 2.536607040e+02 2.536975404e+02 8.8e-09 0.38
46 1.3e-05 1.3e-02 8.7e-04 1.00e+00 2.536633330e+02 2.536964857e+02 7.9e-09 0.38
47 1.2e-05 1.2e-02 7.8e-04 1.00e+00 2.536656987e+02 2.536955361e+02 7.1e-09 0.39
48 1.1e-05 1.2e-02 7.0e-04 1.00e+00 2.536678276e+02 2.536946813e+02 6.4e-09 0.40
49 9.8e-06 1.1e-02 6.3e-04 1.00e+00 2.536697434e+02 2.536939118e+02 5.8e-09 0.41
50 8.9e-06 1.1e-02 5.7e-04 1.00e+00 2.536714675e+02 2.536932190e+02 5.2e-09 0.41
51 8.0e-06 1.1e-02 5.1e-04 1.00e+00 2.536730190e+02 2.536925954e+02 4.7e-09 0.42
52 7.2e-06 1.0e-02 4.6e-04 1.00e+00 2.536744152e+02 2.536920340e+02 4.2e-09 0.43
53 6.5e-06 1.0e-02 4.1e-04 1.00e+00 2.536756717e+02 2.536915286e+02 3.8e-09 0.44
54 5.8e-06 9.8e-03 3.7e-04 1.00e+00 2.536768025e+02 2.536910737e+02 3.4e-09 0.44
55 5.2e-06 9.6e-03 3.4e-04 1.00e+00 2.536778201e+02 2.536906643e+02 3.1e-09 0.45
56 4.7e-06 9.4e-03 3.0e-04 1.00e+00 2.536787359e+02 2.536902957e+02 2.8e-09 0.46
57 4.2e-06 9.2e-03 2.7e-04 1.00e+00 2.536795600e+02 2.536899639e+02 2.5e-09 0.46
58 3.8e-06 9.0e-03 2.5e-04 1.00e+00 2.536803017e+02 2.536896652e+02 2.2e-09 0.47
59 3.4e-06 8.9e-03 2.2e-04 1.00e+00 2.536809692e+02 2.536893963e+02 2.0e-09 0.48
60 3.1e-06 8.8e-03 2.0e-04 1.00e+00 2.536815699e+02 2.536891543e+02 1.8e-09 0.48
61 1.2e-06 3.4e-03 7.7e-05 1.00e+00 2.536848849e+02 2.536878177e+02 7.0e-10 0.49
62 1.1e-06 3.0e-03 6.9e-05 1.00e+00 2.536850944e+02 2.536877339e+02 6.3e-10 0.50
63 3.8e-07 1.1e-03 2.5e-05 1.00e+00 2.536863010e+02 2.536872470e+02 2.3e-10 0.51
64 3.5e-07 9.8e-04 2.2e-05 1.00e+00 2.536863685e+02 2.536872198e+02 2.0e-10 0.51
65 3.1e-07 8.8e-04 2.0e-05 1.00e+00 2.536864291e+02 2.536871953e+02 1.8e-10 0.52
66 2.8e-07 7.9e-04 1.8e-05 1.00e+00 2.536864836e+02 2.536871733e+02 1.7e-10 0.53
67 2.5e-07 7.1e-04 1.6e-05 1.00e+00 2.536865328e+02 2.536871534e+02 1.5e-10 0.53
68 2.3e-07 6.4e-04 1.5e-05 1.00e+00 2.536865770e+02 2.536871356e+02 1.3e-10 0.54
69 2.0e-07 5.8e-04 1.3e-05 1.00e+00 2.536866167e+02 2.536871195e+02 1.2e-10 0.55
70 1.8e-07 5.2e-04 1.2e-05 1.00e+00 2.536866525e+02 2.536871050e+02 1.1e-10 0.55
71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866848e+02 2.536870920e+02 9.8e-11 0.56
72 1.5e-07 4.2e-04 9.6e-06 1.00e+00 2.536867138e+02 2.536870803e+02 8.8e-11 0.57
73 1.3e-07 3.8e-04 8.6e-06 1.00e+00 2.536867399e+02 2.536870697e+02 7.9e-11 0.58
74 1.2e-07 3.4e-04 7.8e-06 1.00e+00 2.536867634e+02 2.536870602e+02 7.1e-11 0.59
75 1.1e-07 3.1e-04 7.0e-06 1.00e+00 2.536867845e+02 2.536870517e+02 6.4e-11 0.60
76 9.8e-08 2.8e-04 6.3e-06 1.00e+00 2.536868035e+02 2.536870440e+02 5.8e-11 0.61
77 8.8e-08 2.5e-04 5.7e-06 1.00e+00 2.536868206e+02 2.536870371e+02 5.2e-11 0.62
78 7.9e-08 2.2e-04 5.1e-06 1.00e+00 2.536868360e+02 2.536870308e+02 4.7e-11 0.62
79 7.1e-08 2.0e-04 4.6e-06 1.00e+00 2.536868499e+02 2.536870252e+02 4.2e-11 0.63
80 6.4e-08 1.8e-04 4.1e-06 1.00e+00 2.536868624e+02 2.536870202e+02 3.8e-11 0.64
81 5.8e-08 1.6e-04 3.7e-06 1.00e+00 2.536868736e+02 2.536870156e+02 3.4e-11 0.64
82 5.2e-08 1.5e-04 3.3e-06 1.00e+00 2.536868837e+02 2.536870115e+02 3.1e-11 0.65
83 4.7e-08 1.3e-04 3.0e-06 1.00e+00 2.536868928e+02 2.536870078e+02 2.8e-11 0.66
84 4.2e-08 1.2e-04 2.7e-06 1.00e+00 2.536869010e+02 2.536870045e+02 2.5e-11 0.67
85 3.8e-08 1.1e-04 2.4e-06 1.00e+00 2.536869084e+02 2.536870015e+02 2.2e-11 0.67
86 3.4e-08 9.7e-05 2.2e-06 1.00e+00 2.536869150e+02 2.536869988e+02 2.0e-11 0.68
87 3.1e-08 8.7e-05 2.0e-06 1.00e+00 2.536869210e+02 2.536869964e+02 1.8e-11 0.69
88 2.8e-08 7.8e-05 1.8e-06 9.99e-01 2.536869263e+02 2.536869943e+02 1.6e-11 0.69
89 2.5e-08 7.0e-05 1.6e-06 1.00e+00 2.536869312e+02 2.536869923e+02 1.5e-11 0.70
90 2.2e-08 6.3e-05 1.4e-06 1.00e+00 2.536869355e+02 2.536869905e+02 1.3e-11 0.71
91 2.0e-08 5.7e-05 1.3e-06 1.00e+00 2.536869394e+02 2.536869889e+02 1.2e-11 0.71
92 1.8e-08 5.1e-05 1.2e-06 9.99e-01 2.536869429e+02 2.536869875e+02 1.1e-11 0.72
93 1.6e-08 4.6e-05 1.0e-06 1.00e+00 2.536869461e+02 2.536869862e+02 9.6e-12 0.73
94 1.5e-08 4.2e-05 9.4e-07 1.00e+00 2.536869490e+02 2.536869851e+02 8.6e-12 0.74
95 1.3e-08 3.7e-05 8.5e-07 9.99e-01 2.536869515e+02 2.536869840e+02 7.8e-12 0.75
96 1.2e-08 3.4e-05 7.7e-07 9.98e-01 2.536869538e+02 2.536869831e+02 7.0e-12 0.75
97 1.1e-08 3.0e-05 6.9e-07 9.99e-01 2.536869559e+02 2.536869822e+02 6.3e-12 0.76
Optimizer terminated. Time: 0.76
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695593e+02 nrm: 4e+01 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698225e+02 nrm: 8e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 0.789 seconds.
Using solver 'mosek'
Solving for 1748 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
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. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 471
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
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.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1749
Cones : 0
Scalar variables : 6101
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 870
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 : 1.48e+04 after factor : 1.47e+05
Factor - dense dim. : 0 flops : 2.89e+07
Factor - GP saved nzs : 3.32e+04 GP saved flops : 9.06e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.1e+03 1.2e+05 0.00e+00 -1.222298263e+05 2.000000000e+00 1.0e+00 0.04
1 1.6e+03 2.1e+03 8.5e+04 -9.71e-01 -1.213710455e+05 2.752982256e+00 6.9e-01 0.05
2 7.8e+02 1.0e+03 4.2e+04 -9.57e-01 -1.186217467e+05 5.334792787e+00 3.4e-01 0.05
3 2.9e+02 3.9e+02 1.6e+04 -9.11e-01 -1.102259194e+05 2.219994521e+01 1.3e-01 0.06
4 2.9e+02 3.9e+02 1.6e+04 -7.68e-01 -1.083267789e+05 1.672821615e+03 1.3e-01 0.07
5 1.2e+02 1.6e+02 6.6e+03 -7.60e-01 -8.749626988e+04 6.083313951e+03 5.4e-02 0.08
6 3.9e+01 5.3e+01 2.1e+03 -4.56e-01 -4.677954462e+04 1.085256007e+04 1.7e-02 0.08
7 2.3e+01 3.0e+01 1.2e+03 2.29e-01 -3.113771930e+04 7.216008013e+03 1.0e-02 0.09
8 9.3e+00 1.2e+01 5.0e+02 5.24e-01 -1.393505869e+04 3.980814731e+03 4.1e-03 0.10
9 6.0e+00 8.0e+00 3.2e+02 8.27e-01 -9.009823590e+03 2.812604557e+03 2.7e-03 0.10
10 2.1e+00 2.8e+00 1.1e+02 9.04e-01 -3.057301137e+03 1.183564269e+03 9.3e-04 0.11
11 1.4e+00 1.9e+00 7.7e+01 9.76e-01 -1.997372761e+03 9.332543213e+02 6.4e-04 0.12
12 7.4e-01 1.0e+00 4.0e+01 9.81e-01 -9.699632101e+02 5.758019022e+02 3.3e-04 0.13
13 4.2e-01 7.2e-01 2.3e+01 9.89e-01 -4.606257868e+02 4.178451514e+02 1.9e-04 0.13
14 1.6e-01 2.8e-01 8.7e+00 9.97e-01 -6.512326323e+01 2.680538298e+02 7.3e-05 0.14
15 8.8e-02 1.6e-01 4.9e+00 1.00e+00 3.921207159e+01 2.264578862e+02 4.1e-05 0.15
16 3.1e-02 1.2e-01 1.7e+00 1.00e+00 1.252317814e+02 1.912713104e+02 1.5e-05 0.16
17 1.1e-02 9.8e-02 6.5e-01 1.01e+00 1.548024777e+02 1.794850661e+02 5.6e-06 0.16
18 6.0e-03 7.7e-02 3.5e-01 1.01e+00 1.628860752e+02 1.761840348e+02 3.0e-06 0.17
19 1.1e-03 1.5e-01 6.8e-02 1.01e+00 1.705511844e+02 1.731209203e+02 6.1e-07 0.18
20 4.2e-04 1.1e-01 2.6e-02 1.01e+00 1.716970465e+02 1.726831638e+02 2.4e-07 0.19
21 1.8e-04 9.1e-02 1.1e-02 1.00e+00 1.721010799e+02 1.725269096e+02 1.0e-07 0.20
22 1.0e-04 7.2e-02 6.3e-03 1.00e+00 1.722342738e+02 1.724717849e+02 5.7e-08 0.20
23 9.0e-05 6.5e-02 5.6e-03 1.00e+00 1.722520170e+02 1.724658133e+02 5.1e-08 0.21
24 8.1e-05 6.0e-02 5.1e-03 1.00e+00 1.722673117e+02 1.724597216e+02 4.6e-08 0.22
25 7.3e-05 5.5e-02 4.6e-03 1.00e+00 1.722811705e+02 1.724543346e+02 4.2e-08 0.23
26 6.6e-05 5.0e-02 4.1e-03 1.00e+00 1.722936134e+02 1.724494569e+02 3.7e-08 0.24
27 5.9e-05 4.6e-02 3.7e-03 1.00e+00 1.723047998e+02 1.724450554e+02 3.4e-08 0.25
28 5.3e-05 4.2e-02 3.3e-03 1.00e+00 1.723148518e+02 1.724410789e+02 3.0e-08 0.26
29 4.8e-05 3.9e-02 3.0e-03 1.00e+00 1.723238843e+02 1.724374861e+02 2.7e-08 0.27
30 4.3e-05 3.6e-02 2.7e-03 1.00e+00 1.723320001e+02 1.724342397e+02 2.5e-08 0.27
31 3.9e-05 3.3e-02 2.4e-03 1.00e+00 1.723392924e+02 1.724313064e+02 2.2e-08 0.28
32 3.5e-05 3.0e-02 2.2e-03 1.00e+00 1.723458452e+02 1.724286563e+02 2.0e-08 0.29
33 3.1e-05 2.8e-02 2.0e-03 1.00e+00 1.723517339e+02 1.724262629e+02 1.8e-08 0.30
34 2.8e-05 2.6e-02 1.8e-03 1.00e+00 1.723570267e+02 1.724241018e+02 1.6e-08 0.31
35 2.5e-05 2.4e-02 1.6e-03 1.00e+00 1.723617843e+02 1.724221513e+02 1.5e-08 0.31
36 2.3e-05 2.3e-02 1.4e-03 1.00e+00 1.723660614e+02 1.724203911e+02 1.3e-08 0.32
37 2.1e-05 2.1e-02 1.3e-03 1.00e+00 1.723699069e+02 1.724188032e+02 1.2e-08 0.33
38 1.9e-05 2.0e-02 1.2e-03 1.00e+00 1.723733647e+02 1.724173710e+02 1.1e-08 0.34
39 1.7e-05 1.9e-02 1.0e-03 1.00e+00 1.723764740e+02 1.724160795e+02 9.5e-09 0.34
40 1.5e-05 1.8e-02 9.4e-04 1.00e+00 1.723792702e+02 1.724149150e+02 8.6e-09 0.36
41 1.4e-05 1.7e-02 8.5e-04 1.00e+00 1.723817850e+02 1.724138651e+02 7.7e-09 0.37
42 1.2e-05 1.6e-02 7.6e-04 1.00e+00 1.723840467e+02 1.724129188e+02 6.9e-09 0.38
43 1.1e-05 1.5e-02 6.9e-04 1.00e+00 1.723860810e+02 1.724120658e+02 6.2e-09 0.38
44 9.9e-06 1.4e-02 6.2e-04 1.00e+00 1.723879108e+02 1.724112971e+02 5.6e-09 0.39
45 8.9e-06 1.4e-02 5.6e-04 1.00e+00 1.723895567e+02 1.724106044e+02 5.1e-09 0.40
46 8.0e-06 1.3e-02 5.0e-04 1.00e+00 1.723910373e+02 1.724099802e+02 4.6e-09 0.41
47 7.2e-06 1.3e-02 4.5e-04 1.00e+00 1.723923692e+02 1.724094178e+02 4.1e-09 0.42
48 6.5e-06 1.2e-02 4.1e-04 1.00e+00 1.723935674e+02 1.724089112e+02 3.7e-09 0.43
49 5.8e-06 1.2e-02 3.6e-04 1.00e+00 1.723946453e+02 1.724084548e+02 3.3e-09 0.44
50 5.2e-06 1.1e-02 3.3e-04 1.00e+00 1.723956151e+02 1.724080436e+02 3.0e-09 0.44
51 4.7e-06 1.1e-02 3.0e-04 1.00e+00 1.723964875e+02 1.724076733e+02 2.7e-09 0.45
52 4.2e-06 1.1e-02 2.7e-04 1.00e+00 1.723972725e+02 1.724073397e+02 2.4e-09 0.46
53 3.8e-06 1.0e-02 2.4e-04 1.00e+00 1.723979788e+02 1.724070393e+02 2.2e-09 0.47
54 3.4e-06 1.0e-02 2.2e-04 1.00e+00 1.723986142e+02 1.724067687e+02 2.0e-09 0.48
55 3.1e-06 9.9e-03 1.9e-04 1.00e+00 1.723991860e+02 1.724065251e+02 1.8e-09 0.49
56 2.8e-06 9.7e-03 1.7e-04 1.00e+00 1.723997005e+02 1.724063056e+02 1.6e-09 0.50
57 2.5e-06 9.5e-03 1.6e-04 1.00e+00 1.724001634e+02 1.724061080e+02 1.4e-09 0.51
58 2.3e-06 9.3e-03 1.4e-04 1.00e+00 1.724005799e+02 1.724059301e+02 1.3e-09 0.52
59 2.0e-06 9.2e-03 1.3e-04 1.00e+00 1.724009547e+02 1.724057699e+02 1.2e-09 0.53
60 1.8e-06 9.0e-03 1.1e-04 1.00e+00 1.724012919e+02 1.724056257e+02 1.0e-09 0.54
61 1.6e-06 8.9e-03 1.0e-04 1.00e+00 1.724015954e+02 1.724054958e+02 9.4e-10 0.54
62 1.5e-06 8.8e-03 9.3e-05 1.00e+00 1.724018684e+02 1.724053788e+02 8.4e-10 0.55
63 1.3e-06 8.7e-03 8.4e-05 1.00e+00 1.724021142e+02 1.724052735e+02 7.6e-10 0.56
64 1.2e-06 8.6e-03 7.5e-05 1.00e+00 1.724023353e+02 1.724051787e+02 6.8e-10 0.57
65 1.1e-06 8.5e-03 6.8e-05 1.00e+00 1.724025342e+02 1.724050933e+02 6.2e-10 0.58
66 9.7e-07 8.4e-03 6.1e-05 1.00e+00 1.724027133e+02 1.724050165e+02 5.5e-10 0.59
67 8.7e-07 8.3e-03 5.5e-05 1.00e+00 1.724028744e+02 1.724049473e+02 5.0e-10 0.60
68 7.9e-07 8.3e-03 4.9e-05 1.00e+00 1.724030194e+02 1.724048850e+02 4.5e-10 0.61
69 7.1e-07 8.2e-03 4.4e-05 1.00e+00 1.724031498e+02 1.724048289e+02 4.0e-10 0.62
70 6.4e-07 8.1e-03 4.0e-05 1.00e+00 1.724032672e+02 1.724047784e+02 3.6e-10 0.63
71 5.7e-07 8.1e-03 3.6e-05 1.00e+00 1.724033729e+02 1.724047329e+02 3.3e-10 0.64
72 5.2e-07 8.0e-03 3.2e-05 1.00e+00 1.724034679e+02 1.724046920e+02 2.9e-10 0.65
73 4.6e-07 8.0e-03 2.9e-05 1.00e+00 1.724035535e+02 1.724046551e+02 2.7e-10 0.66
74 4.2e-07 7.9e-03 2.6e-05 1.00e+00 1.724036305e+02 1.724046220e+02 2.4e-10 0.68
75 3.8e-07 7.9e-03 2.4e-05 1.00e+00 1.724036997e+02 1.724045921e+02 2.1e-10 0.69
76 3.4e-07 7.9e-03 2.1e-05 1.00e+00 1.724037621e+02 1.724045652e+02 1.9e-10 0.70
77 3.1e-07 7.8e-03 1.9e-05 1.00e+00 1.724038182e+02 1.724045410e+02 1.7e-10 0.71
78 2.7e-07 7.8e-03 1.7e-05 1.00e+00 1.724038687e+02 1.724045192e+02 1.6e-10 0.72
79 2.5e-07 7.8e-03 1.5e-05 1.00e+00 1.724039141e+02 1.724044996e+02 1.4e-10 0.73
80 2.2e-07 7.7e-03 1.4e-05 1.00e+00 1.724039550e+02 1.724044819e+02 1.3e-10 0.75
81 2.0e-07 7.7e-03 1.3e-05 1.00e+00 1.724039918e+02 1.724044660e+02 1.1e-10 0.75
82 1.8e-07 7.7e-03 1.1e-05 1.00e+00 1.724040249e+02 1.724044517e+02 1.0e-10 0.76
83 1.6e-07 7.7e-03 1.0e-05 1.00e+00 1.724040546e+02 1.724044388e+02 9.2e-11 0.77
84 1.5e-07 7.7e-03 9.1e-06 1.00e+00 1.724040815e+02 1.724044272e+02 8.3e-11 0.78
85 1.3e-07 7.6e-03 8.2e-06 1.00e+00 1.724041056e+02 1.724044167e+02 7.5e-11 0.79
86 1.2e-07 7.6e-03 7.4e-06 1.00e+00 1.724041273e+02 1.724044073e+02 6.7e-11 0.80
87 1.1e-07 7.6e-03 6.7e-06 1.00e+00 1.724041470e+02 1.724043988e+02 6.1e-11 0.81
88 9.6e-08 7.6e-03 6.0e-06 1.00e+00 1.724041646e+02 1.724043912e+02 5.5e-11 0.81
89 8.6e-08 7.6e-03 5.4e-06 1.00e+00 1.724041804e+02 1.724043843e+02 4.9e-11 0.82
90 7.8e-08 7.6e-03 4.9e-06 9.97e-01 1.724041946e+02 1.724043781e+02 4.4e-11 0.83
91 7.0e-08 7.5e-03 4.4e-06 1.00e+00 1.724042074e+02 1.724043726e+02 4.0e-11 0.84
92 6.3e-08 7.5e-03 3.9e-06 9.99e-01 1.724042189e+02 1.724043676e+02 3.6e-11 0.85
93 5.7e-08 6.8e-03 3.5e-06 1.02e+00 1.724042300e+02 1.724043628e+02 3.3e-11 0.86
94 5.1e-08 6.1e-03 3.2e-06 1.01e+00 1.724042398e+02 1.724043585e+02 2.9e-11 0.87
95 4.6e-08 5.5e-03 2.9e-06 1.01e+00 1.724042484e+02 1.724043549e+02 2.7e-11 0.88
96 4.2e-08 4.9e-03 2.6e-06 1.02e+00 1.724042564e+02 1.724043515e+02 2.4e-11 0.89
97 3.8e-08 4.4e-03 2.3e-06 9.97e-01 1.724042630e+02 1.724043486e+02 2.2e-11 0.90
98 3.4e-08 4.0e-03 2.1e-06 9.95e-01 1.724042689e+02 1.724043460e+02 2.0e-11 0.91
99 3.1e-08 3.6e-03 1.9e-06 9.91e-01 1.724042743e+02 1.724043436e+02 1.8e-11 0.92
100 2.8e-08 3.2e-03 1.7e-06 9.09e-01 1.724042791e+02 1.724043415e+02 1.6e-11 0.92
101 3.9e-08 7.7e-04 4.0e-07 1.00e+00 1.724043125e+02 1.724043276e+02 4.0e-12 0.93
102 1.1e-07 6.9e-04 3.6e-07 -7.72e-01 1.724043128e+02 1.724043312e+02 3.4e-12 0.94
103 1.1e-07 6.9e-04 3.6e-07 -3.73e+00 1.724043128e+02 1.724043312e+02 3.4e-12 0.95
Optimizer terminated. Time: 0.95
solsta = 7, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : NEAR_OPTIMAL
Primal. obj: 1.7240431284e+02 nrm: 4e+01 Viol. con: 3e-06 var: 0e+00
Dual. obj: 1.7240433117e+02 nrm: 8e+02 Viol. con: 0e+00 var: 7e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 0.973 seconds.