Failed
gpkit.tests.from_paths.TestFiles.test_SPaircraft_py_mosek (from gpkit.tests.from_paths.TestFiles-20190827152429)
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/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/helpers.py", line 64, in test testfn(name, import_dict, path)(self) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/tests/from_paths.py", line 51, in <lambda> lambda self: getattr(self, name)())) # pylint:disable=undefined-variable File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/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/gplibrary_Push_Models/mosek/gpkit/gpkit/constraints/prog_factories.py", line 124, in solvefn result = progsolve(solver, verbosity, **kwargs) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/gpkit/constraints/sgp.py", line 149, in localsolve feas_constrs, None) File "/Users/jenkins/workspace/gplibrary_Push_Models/mosek/gpkit/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}[:]/dum[:])^0.5 h_{2.5}[:] = C_{p_{2}*T_{2.5}[:] \rho_{2.5}[:] = P_{2.5}[:]/(Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]) u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/dum[:])^0.5 m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine} d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5 d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5 \eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]]) h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:] P_{t_4}[:] = \pi_{b}*P_{t_3}[:] M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]] M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]]) P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:] \pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013 \pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10 \pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10 \pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10 m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{f}[:] >= 1 \pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10 \pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:] >= 1 m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10 \pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10 \pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10 m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref}) \pi_{hc}[:] >= 1 OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:] P_{t_8}[:] = P_{t_7}[:] T_{t_8}[:] = T_{t_7}[:] P_{t_6}[:] = P_{t_5}[:] T_{t_6}[:] = T_{t_5}[:] F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:] I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g) N_{f}[:]*G_{f} = N_{1}[:] N_{1}[:] <= 1.1 N_{2}[:] <= 1.1 fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD} fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD} P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5 (T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2 P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979 (T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2 M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:] m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:] m_{total}[:] = m_{fan}[:] + m_{core}[:] P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512 T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1 m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2} P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857 T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1 m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD} m_{lc_D} >= 0.7*m_{coreD}/0.649 m_{lc_D} <= 1.3*m_{coreD}/0.649 m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23 m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23 \bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405 \bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405 F[:] = F_{spec}[:] T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}} OPR[:] <= OPR_{max} VerticalTail VerticalTailNoStruct C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}} L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}} c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt})) A_{vt} = b_{vt}^2/S_{vt} b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt} p_{vt} >= 1 + 2*\lambda_{vt} 2*q_{vt} >= 1 + p_{vt} y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} 0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt} \lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}} \Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}} \Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt} \lambda_{vt} >= 0.25 V_{vt} >= V_{vt_{min}} WingBox AR_{vt} = (2*b_{vt})^2/(2*S_{vt}) 0.423*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) \tau_{vt} <= 0.14 W_{struct} >= 0.5*(W_{web} + W_{cap}) Mission.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24 AR_{vt}*2*L_{vt_{max}}*Mission.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) Mission.Aircraft.VerticalTail.WingBox.N_{lift} = 1 Mission.Aircraft.VerticalTail.WingBox.N_{lift}*Mission.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8 \lambda_{vt} = taper W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT}) HorizontalTail HorizontalTailNoStruct \Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht} \Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}} p_{ht} >= 1 + 2*\lambda_{ht} 2*q_{ht} >= 1 + p_{ht} y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht} 0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht} \lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}} S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2 0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht}) e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1 AR_{ht} = b_{ht}^2/S_{ht} \lambda_{ht} >= 0.2 \lambda_{ht} <= 1 WingBox AR_{ht} = b_{ht}^2/S_{ht} 0.423*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) \tau_{ht} <= 0.14 W_{struct} >= W_{web} + W_{cap} L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2 L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht}) 2*AR_{ht}*L_{shear}*Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) Mission.Aircraft.HorizontalTail.WingBox.N_{lift} = 1 Mission.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8 L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht} L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}} W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht}) LandingGear l_n + z_{wing} + y_m*\tan(\gamma) >= l_m T = 2*y_m x_m >= x_n + B x_n >= 5 \tan(\phi) = \tan(\phi_{min}) (z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1 \tan(\psi) <= \tan(\psi_{max}) x_{up} - x_m <= l_m/\tan(\theta_{max}) y_m >= l_m S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG}) l_{oleo} = 2.5*S_{sa} d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5 l_m >= l_{oleo} + d_{t_m}/2 F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in]) W_{wa,m} = 1.2*F_{w_m}^0.609 F_{w_n} = L_{w_n}*d_{t_n}/1e+03 W_{wa,n} = 1.2*F_{w_n}^0.609 L_{w_m} = L_m/(n_{mg}*n_{wps}) L_{w_n} = L_n/n_{wps} d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315 w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48 d_{t_n} = 0.8*d_{t_m} w_{t_n} = 0.8*w_{t_m} W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m W_{mw} = n_{wps}*W_{wa,m} W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g \sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}}) W_{nw} >= n_{wps}*W_{wa,n} L_m <= 9.87*E*I_m/(K*l_m)^2 I_m = PI*r_m^3*t_m L_n <= 9.87*E*I_n/(K*l_n)^2 I_n = PI*r_n^3*t_n 2*r_m/t_m <= 40 2*r_m/t_n <= 40 h_{hold} >= 2*w_{t_m} + 2*r_m 0.8 >= 2*w_{t_n} + 2*r_n W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m})) W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n}) W_{lg} >= C_{lg}*(W_{mg} + W_{ng}) W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m x_m >= x_{CG_{lg}} c_{root} = c_0 Mission.Aircraft.Wing.WingBox.r_{w/c} = Mission.Aircraft.Fuselage.r_{w/c} x_w = x_{wing} Mission.Aircraft.Fuselage.N_{lift} = Mission.Aircraft.Wing.WingBox.N_{lift} f_{L_{total/wing}}*L_{max} >= Mission.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}} W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc} W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:] W_{total}[:] <= W_{total, max} f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}} W_{misc} >= W_{lg} + W_{hpesys} W_{hpesys} = f_{hpesys}*W_{total, max} x_n <= l_{nose} x_m >= x_{wing} \Delta x_{AC_{wing}} + x_{wing} >= x_m x_{hpesys} = 1.1*l_{nose} x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys} d_{nacelle} >= d_{f} + 2*t_{nacelle} E_{land} >= W_{total, max}/(2*g)*w_{ult}^2 x_{up} = x_{shell2} L_n = W_{total, max}*\Delta x_m/B L_m = W_{total, max}*\Delta x_n/B L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max} y_{eng} >= y_m 3*n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}} V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse} W_{tail} >= n_{vt}*W_{vt} + W_{ht} 2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db} B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v}) m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht} x_{CG_{ht}} <= l_{fuse} V_{ht} = S_{ht}*l_{ht}/(S*mac) L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}} L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}} x_{CG_{vt}} <= l_{fuse} V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b) n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max} n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng} D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}} I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:] I_{z}[:] <= I_{z, max} S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2 l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}} f_{S_{nacelle}} = S_{nacelle}*S^-1 A_{inlet} = 0.4*S_{nacelle} A_{fancowl} = 0.2*S_{nacelle} A_{exh} = 0.4*S_{nacelle} A_{corecowl} = 3PI*d_{LPC}^2 W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl}) W_{eadd} = f_{eadd}*W_{engine} W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon} W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine}) y_{eng} = 0.5*w_{fuse} (L_{max} - Mission.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission.Aircraft.Wing.WingBox.M_r*c_{root} A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend}) A_{1h_{MLF}} >= (Mission.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h}) I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16) I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81 I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81) x_{shell2} + l_{cone} >= x_{eng} x_{eng} >= x_{shell2} + 0.75*l_{cone} S_{floor} = 0.312*P_{floor} M_{floor} = 0.0352*P_{floor}*w_{floor} \Delta R_{fuse} = R_{fuse}*0.43/1.75 b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2 b_{ht_{out}} = 0.5*b_{ht} - w_{fuse} L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}} M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}} L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}} c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach} \pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht}) FlightSegment FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) FlightP P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:] RC[:] = P_{excess}[:]/W_{avg}[:] \theta[:]*V[:] = RC[:] dhft[:] = tmin[:]*RC[:] R_{segment}[:] = thr[:]*V[:] WingPerformance 0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:] \Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:] \Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2 (AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2 C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:] \alpha_w[:] <= \alpha_{max,w}[:] D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:] C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:] C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR) Re_w[:] = \rho[:]*V[:]*mac/\mu[:] C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114 FuselagePerformance (no constraints) VerticalTailPerformance D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:] Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:] C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577 HorizontalTailPerformance L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:] C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:] \alpha_{ht}[:] <= \alpha_{ht,max} C_{L_{\alpha,ht_0}}[:] = 6.28 D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:] C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht}) Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:] C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852 W_{burn}[:] = W_{burn}[:] F_{fuel}[:] = F_{fuel}[:] \rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:]) P_{cabin}[:] = 7.5e+04 T_{cabin}[:] = 297 V[:] >= V_{stall}[:] W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:] tmin[:] = thr[:] L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:] L_{total}[:] = f_{L_{total/wing}}*L_w[:] L_{total}[:] >= W_{avg}[:] + L_{ht}[:] D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2 D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:]) C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S) L/D[:] = W_{avg}[:]/D[:] W_{Load}[:] <= W_{Load_{max}}[:] W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S p_{o}[:] >= L_w[:]*c_{root}/S \eta_{o}[:] = w_{fuse}/(b/2) x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:] c_{m_{w}}[:] = 1.9 x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2) x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse} x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}} x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}} C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht} AR_{ht} >= 4 C_{L_{ht}}[:] >= 0.01 SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac SM[:] >= SM_{min} SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}} x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:] R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:] C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2 V_{nacelle}[:] = r_{v_{nacelle}}*V[:] V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]] r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0) C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0 D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S \Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}} M_2[:3] = M[:3] M_{2.5}[:3] = 0.6 hold_{2}[:3] = 1.07164 hold_{2.5}[:3] = 1.06372 P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:] c1[:] = 1 + 0.201*M[:]^2.0 M_2[3:] = M[3:] M_{2.5}[3:] = 0.6 hold_{2}[3:] = 1.07164 hold_{2.5}[3:] = 1.06372 Beginning signomial solve. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 482 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 872 Optimizer - Cones : 0 Optimizer - Scalar variables : 3460 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 : 1.49e+04 after factor : 1.57e+05 Factor - dense dim. : 0 flops : 3.24e+07 Factor - GP saved nzs : 3.37e+04 GP saved flops : 9.34e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.226649102e+05 2.000000000e+00 1.0e+00 0.05 1 1.6e+03 2.1e+03 8.5e+04 -9.71e-01 -1.217931396e+05 2.767433271e+00 6.9e-01 0.06 2 8.3e+02 1.1e+03 4.5e+04 -9.57e-01 -1.193765364e+05 5.044398797e+00 3.7e-01 0.08 3 2.9e+02 3.8e+02 1.6e+04 -9.17e-01 -1.106126807e+05 2.145823832e+01 1.3e-01 0.09 4 2.9e+02 3.8e+02 1.6e+04 -7.69e-01 -1.086003128e+05 1.772606687e+03 1.3e-01 0.10 5 1.1e+02 1.5e+02 6.0e+03 -7.60e-01 -8.493681606e+04 6.771650949e+03 4.9e-02 0.11 6 3.8e+01 5.0e+01 2.0e+03 -4.14e-01 -4.581119560e+04 1.071049050e+04 1.7e-02 0.12 7 2.0e+01 2.7e+01 1.1e+03 2.49e-01 -2.861440868e+04 7.031559683e+03 9.0e-03 0.13 8 9.3e+00 1.2e+01 5.0e+02 5.69e-01 -1.393983792e+04 4.245067693e+03 4.1e-03 0.14 9 4.7e+00 6.2e+00 2.6e+02 8.28e-01 -7.029110973e+03 2.527640603e+03 2.1e-03 0.15 10 1.4e+00 1.9e+00 7.7e+01 9.33e-01 -1.989522428e+03 9.440658307e+02 6.4e-04 0.16 11 6.4e-01 8.4e-01 3.5e+01 9.94e-01 -6.816062939e+02 6.602366188e+02 2.9e-04 0.18 12 4.8e-01 6.4e-01 2.6e+01 9.96e-01 -4.529918475e+02 5.592351333e+02 2.2e-04 0.19 13 3.5e-01 7.7e-01 1.9e+01 9.80e-01 -2.692234810e+02 4.765662154e+02 1.6e-04 0.20 14 1.7e-01 3.9e-01 9.5e+00 9.97e-01 -1.714746558e+00 3.652438284e+02 8.0e-05 0.21 15 5.6e-02 1.6e-01 3.2e+00 9.94e-01 1.676373028e+02 2.901745152e+02 2.7e-05 0.23 16 3.3e-02 1.4e-01 1.9e+00 1.00e+00 2.029391613e+02 2.746337593e+02 1.6e-05 0.24 17 5.1e-03 1.9e-01 3.2e-01 1.00e+00 2.450791195e+02 2.572416758e+02 2.8e-06 0.25 18 1.5e-03 1.3e-01 9.3e-02 1.00e+00 2.511104204e+02 2.546939126e+02 8.5e-07 0.26 19 4.9e-04 1.1e-01 3.1e-02 1.00e+00 2.528349632e+02 2.540244727e+02 2.8e-07 0.27 20 2.1e-04 8.8e-02 1.3e-02 1.00e+00 2.533186201e+02 2.538333673e+02 1.2e-07 0.29 21 1.9e-04 8.0e-02 1.2e-02 1.00e+00 2.533566246e+02 2.538199075e+02 1.1e-07 0.30 22 1.7e-04 7.3e-02 1.1e-02 1.00e+00 2.533897565e+02 2.538066870e+02 1.0e-07 0.31 23 1.5e-04 6.6e-02 9.8e-03 1.00e+00 2.534196107e+02 2.537948321e+02 9.0e-08 0.33 24 1.4e-04 6.0e-02 8.8e-03 1.00e+00 2.534464545e+02 2.537841402e+02 8.1e-08 0.34 25 1.2e-04 5.5e-02 8.0e-03 1.00e+00 2.534705969e+02 2.537745027e+02 7.3e-08 0.35 26 1.1e-04 5.0e-02 7.2e-03 1.00e+00 2.534923089e+02 2.537658147e+02 6.5e-08 0.36 27 1.0e-04 4.6e-02 6.4e-03 1.00e+00 2.535118375e+02 2.537579848e+02 5.9e-08 0.37 28 9.0e-05 4.2e-02 5.8e-03 1.00e+00 2.535294030e+02 2.537509292e+02 5.3e-08 0.38 29 8.1e-05 3.9e-02 5.2e-03 1.00e+00 2.535452035e+02 2.537445719e+02 4.8e-08 0.39 30 7.3e-05 3.6e-02 4.7e-03 1.00e+00 2.535594172e+02 2.537388444e+02 4.3e-08 0.41 31 6.6e-05 3.3e-02 4.2e-03 1.00e+00 2.535722036e+02 2.537336848e+02 3.9e-08 0.42 32 5.9e-05 3.0e-02 3.8e-03 1.00e+00 2.535837066e+02 2.537290369e+02 3.5e-08 0.43 33 5.3e-05 2.8e-02 3.4e-03 1.00e+00 2.535940552e+02 2.537248503e+02 3.1e-08 0.44 34 4.8e-05 2.6e-02 3.1e-03 1.00e+00 2.536033655e+02 2.537210794e+02 2.8e-08 0.45 35 4.3e-05 2.4e-02 2.8e-03 1.00e+00 2.536117418e+02 2.537176829e+02 2.5e-08 0.46 36 3.9e-05 2.2e-02 2.5e-03 1.00e+00 2.536192779e+02 2.537146239e+02 2.3e-08 0.47 37 3.5e-05 2.1e-02 2.2e-03 1.00e+00 2.536260583e+02 2.537118689e+02 2.1e-08 0.48 38 3.1e-05 2.0e-02 2.0e-03 1.00e+00 2.536321588e+02 2.537093877e+02 1.8e-08 0.49 39 2.8e-05 1.8e-02 1.8e-03 1.00e+00 2.536376478e+02 2.537071534e+02 1.7e-08 0.50 40 2.5e-05 1.7e-02 1.6e-03 1.00e+00 2.536425866e+02 2.537051412e+02 1.5e-08 0.52 41 2.3e-05 1.6e-02 1.5e-03 1.00e+00 2.536470305e+02 2.537033294e+02 1.3e-08 0.53 42 2.1e-05 1.6e-02 1.3e-03 1.00e+00 2.536510290e+02 2.537016979e+02 1.2e-08 0.54 43 1.9e-05 1.5e-02 1.2e-03 1.00e+00 2.536546270e+02 2.537002288e+02 1.1e-08 0.55 44 1.7e-05 1.4e-02 1.1e-03 1.00e+00 2.536578646e+02 2.536989061e+02 9.8e-09 0.56 45 1.5e-05 1.3e-02 9.7e-04 1.00e+00 2.536607779e+02 2.536977152e+02 8.8e-09 0.57 46 1.4e-05 1.3e-02 8.7e-04 1.00e+00 2.536633994e+02 2.536966430e+02 8.0e-09 0.58 47 1.2e-05 1.2e-02 7.8e-04 1.00e+00 2.536657585e+02 2.536956778e+02 7.2e-09 0.59 48 1.1e-05 1.2e-02 7.1e-04 1.00e+00 2.536678814e+02 2.536948088e+02 6.4e-09 0.60 49 9.9e-06 1.1e-02 6.3e-04 1.00e+00 2.536697919e+02 2.536940265e+02 5.8e-09 0.62 50 8.9e-06 1.1e-02 5.7e-04 1.00e+00 2.536715110e+02 2.536933222e+02 5.2e-09 0.63 51 8.0e-06 1.1e-02 5.1e-04 1.00e+00 2.536730582e+02 2.536926883e+02 4.7e-09 0.64 52 7.2e-06 1.0e-02 4.6e-04 1.00e+00 2.536744505e+02 2.536921176e+02 4.2e-09 0.64 53 6.5e-06 1.0e-02 4.2e-04 1.00e+00 2.536757035e+02 2.536916039e+02 3.8e-09 0.65 54 5.8e-06 9.8e-03 3.7e-04 1.00e+00 2.536768310e+02 2.536911414e+02 3.4e-09 0.66 55 5.2e-06 9.6e-03 3.4e-04 1.00e+00 2.536778458e+02 2.536907252e+02 3.1e-09 0.68 56 4.7e-06 9.4e-03 3.0e-04 1.00e+00 2.536787590e+02 2.536903505e+02 2.8e-09 0.69 57 4.2e-06 9.2e-03 2.7e-04 1.00e+00 2.536795809e+02 2.536900132e+02 2.5e-09 0.69 58 3.8e-06 9.0e-03 2.5e-04 1.00e+00 2.536803205e+02 2.536897096e+02 2.2e-09 0.70 59 3.4e-06 8.9e-03 2.2e-04 1.00e+00 2.536809861e+02 2.536894363e+02 2.0e-09 0.71 60 3.1e-06 8.8e-03 2.0e-04 1.00e+00 2.536815851e+02 2.536891903e+02 1.8e-09 0.73 61 1.2e-06 3.4e-03 7.7e-05 1.00e+00 2.536848908e+02 2.536878316e+02 7.0e-10 0.73 62 1.1e-06 3.0e-03 6.9e-05 1.00e+00 2.536850996e+02 2.536877464e+02 6.3e-10 0.74 63 3.9e-07 1.1e-03 2.5e-05 1.00e+00 2.536863029e+02 2.536872515e+02 2.3e-10 0.75 64 3.5e-07 9.8e-04 2.2e-05 1.00e+00 2.536863701e+02 2.536872239e+02 2.0e-10 0.76 65 3.1e-07 8.8e-04 2.0e-05 1.00e+00 2.536864306e+02 2.536871990e+02 1.8e-10 0.77 66 2.8e-07 7.9e-04 1.8e-05 1.00e+00 2.536864850e+02 2.536871766e+02 1.7e-10 0.79 67 2.5e-07 7.2e-04 1.6e-05 1.00e+00 2.536865340e+02 2.536871564e+02 1.5e-10 0.79 68 2.3e-07 6.4e-04 1.5e-05 1.00e+00 2.536865781e+02 2.536871382e+02 1.3e-10 0.80 69 2.0e-07 5.8e-04 1.3e-05 1.00e+00 2.536866177e+02 2.536871219e+02 1.2e-10 0.82 70 1.8e-07 5.2e-04 1.2e-05 1.00e+00 2.536866534e+02 2.536871072e+02 1.1e-10 0.83 71 1.7e-07 4.7e-04 1.1e-05 1.00e+00 2.536866856e+02 2.536870939e+02 9.8e-11 0.84 72 1.5e-07 4.2e-04 9.6e-06 1.00e+00 2.536867145e+02 2.536870820e+02 8.8e-11 0.85 73 1.3e-07 3.8e-04 8.7e-06 1.00e+00 2.536867405e+02 2.536870713e+02 7.9e-11 0.86 74 1.2e-07 3.4e-04 7.8e-06 1.00e+00 2.536867639e+02 2.536870616e+02 7.1e-11 0.88 75 1.1e-07 3.1e-04 7.0e-06 1.00e+00 2.536867850e+02 2.536870529e+02 6.4e-11 0.89 76 9.8e-08 2.8e-04 6.3e-06 1.00e+00 2.536868040e+02 2.536870451e+02 5.8e-11 0.89 77 8.8e-08 2.5e-04 5.7e-06 1.00e+00 2.536868211e+02 2.536870381e+02 5.2e-11 0.90 78 7.9e-08 2.2e-04 5.1e-06 1.00e+00 2.536868364e+02 2.536870317e+02 4.7e-11 0.91 79 7.1e-08 2.0e-04 4.6e-06 1.00e+00 2.536868502e+02 2.536870260e+02 4.2e-11 0.93 80 6.4e-08 1.8e-04 4.1e-06 1.00e+00 2.536868627e+02 2.536870209e+02 3.8e-11 0.94 81 5.8e-08 1.6e-04 3.7e-06 1.00e+00 2.536868739e+02 2.536870163e+02 3.4e-11 0.95 82 5.2e-08 1.5e-04 3.4e-06 1.00e+00 2.536868840e+02 2.536870121e+02 3.1e-11 0.96 83 4.7e-08 1.3e-04 3.0e-06 1.00e+00 2.536868930e+02 2.536870084e+02 2.8e-11 0.98 84 4.2e-08 1.2e-04 2.7e-06 1.00e+00 2.536869012e+02 2.536870050e+02 2.5e-11 0.99 85 3.8e-08 1.1e-04 2.4e-06 1.00e+00 2.536869085e+02 2.536870020e+02 2.2e-11 1.00 86 3.4e-08 9.7e-05 2.2e-06 1.00e+00 2.536869152e+02 2.536869992e+02 2.0e-11 1.01 87 3.1e-08 8.7e-05 2.0e-06 1.00e+00 2.536869211e+02 2.536869968e+02 1.8e-11 1.03 88 2.8e-08 7.8e-05 1.8e-06 1.00e+00 2.536869265e+02 2.536869946e+02 1.6e-11 1.04 89 2.5e-08 7.0e-05 1.6e-06 1.00e+00 2.536869313e+02 2.536869926e+02 1.5e-11 1.05 90 2.2e-08 6.3e-05 1.4e-06 1.00e+00 2.536869356e+02 2.536869908e+02 1.3e-11 1.05 91 2.0e-08 5.7e-05 1.3e-06 1.00e+00 2.536869395e+02 2.536869892e+02 1.2e-11 1.07 92 1.8e-08 5.1e-05 1.2e-06 1.00e+00 2.536869430e+02 2.536869877e+02 1.1e-11 1.08 93 1.6e-08 4.6e-05 1.1e-06 1.00e+00 2.536869462e+02 2.536869864e+02 9.6e-12 1.09 94 1.5e-08 4.2e-05 9.5e-07 1.00e+00 2.536869490e+02 2.536869852e+02 8.7e-12 1.10 95 1.3e-08 3.7e-05 8.5e-07 1.00e+00 2.536869516e+02 2.536869842e+02 7.8e-12 1.11 96 1.2e-08 3.4e-05 7.7e-07 9.99e-01 2.536869539e+02 2.536869832e+02 7.0e-12 1.12 97 1.1e-08 3.0e-05 6.9e-07 1.00e+00 2.536869560e+02 2.536869824e+02 6.3e-12 1.13 98 9.7e-09 2.7e-05 6.2e-07 1.00e+00 2.536869579e+02 2.536869816e+02 5.7e-12 1.14 Optimizer terminated. Time: 1.14 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 2.5368695785e+02 nrm: 4e+01 Viol. con: 2e-07 var: 0e+00 Dual. obj: 2.5368698159e+02 nrm: 8e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 1.18 seconds. Using solver 'mosek' Solving for 1768 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 482 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 873 Optimizer - Cones : 0 Optimizer - Scalar variables : 3462 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 : 1.49e+04 after factor : 1.57e+05 Factor - dense dim. : 0 flops : 3.26e+07 Factor - GP saved nzs : 3.37e+04 GP saved flops : 9.34e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.223212570e+05 2.000000000e+00 1.0e+00 0.05 1 1.6e+03 2.1e+03 8.5e+04 -9.71e-01 -1.214747743e+05 2.752575575e+00 7.0e-01 0.06 2 7.9e+02 1.0e+03 4.2e+04 -9.57e-01 -1.187755977e+05 5.296041762e+00 3.5e-01 0.08 3 2.9e+02 3.8e+02 1.6e+04 -9.12e-01 -1.103368431e+05 2.203264810e+01 1.3e-01 0.09 4 2.9e+02 3.8e+02 1.6e+04 -7.69e-01 -1.083761453e+05 1.727258626e+03 1.3e-01 0.10 5 1.2e+02 1.6e+02 6.7e+03 -7.60e-01 -8.800457329e+04 6.084555600e+03 5.5e-02 0.12 6 4.0e+01 5.2e+01 2.1e+03 -4.64e-01 -4.680506254e+04 1.110444952e+04 1.7e-02 0.13 7 2.3e+01 3.0e+01 1.2e+03 2.28e-01 -3.156323145e+04 7.378658951e+03 1.0e-02 0.14 8 9.2e+00 1.2e+01 4.9e+02 5.17e-01 -1.374584088e+04 4.010207729e+03 4.1e-03 0.15 9 6.1e+00 8.0e+00 3.3e+02 8.30e-01 -9.165852854e+03 2.896344754e+03 2.7e-03 0.17 10 2.1e+00 2.8e+00 1.1e+02 9.01e-01 -3.097789795e+03 1.214838717e+03 9.5e-04 0.18 11 1.4e+00 1.8e+00 7.7e+01 9.77e-01 -1.975637992e+03 9.495166554e+02 6.4e-04 0.19 12 8.0e-01 1.1e+00 4.3e+01 9.78e-01 -1.031715276e+03 6.325091514e+02 3.6e-04 0.21 13 3.6e-01 5.1e-01 2.0e+01 9.87e-01 -3.672371328e+02 3.875420486e+02 1.6e-04 0.22 14 1.7e-01 2.7e-01 9.4e+00 1.00e+00 -8.076234759e+01 2.797885158e+02 7.9e-05 0.23 15 9.4e-02 3.7e-01 5.2e+00 1.00e+00 3.210635850e+01 2.313101926e+02 4.4e-05 0.25 16 3.2e-02 1.6e-01 1.8e+00 1.00e+00 1.233683660e+02 1.926862977e+02 1.5e-05 0.26 17 1.1e-02 1.1e-01 6.1e-01 1.01e+00 1.558649259e+02 1.792079582e+02 5.3e-06 0.27 18 5.9e-03 8.4e-02 3.4e-01 1.01e+00 1.631309139e+02 1.761451470e+02 3.0e-06 0.28 19 9.7e-04 1.7e-01 6.0e-02 1.01e+00 1.707545135e+02 1.730452352e+02 5.4e-07 0.29 20 4.4e-04 1.1e-01 2.7e-02 1.01e+00 1.716591469e+02 1.726961714e+02 2.5e-07 0.30 21 1.8e-04 9.2e-02 1.2e-02 1.00e+00 1.720916066e+02 1.725300157e+02 1.1e-07 0.32 22 1.0e-04 7.2e-02 6.5e-03 1.00e+00 1.722276530e+02 1.724746476e+02 5.9e-08 0.33 23 9.3e-05 6.6e-02 5.9e-03 1.00e+00 1.722460856e+02 1.724684160e+02 5.3e-08 0.34 24 8.4e-05 6.0e-02 5.3e-03 1.00e+00 1.722619800e+02 1.724620702e+02 4.8e-08 0.35 25 7.5e-05 5.5e-02 4.8e-03 1.00e+00 1.722763775e+02 1.724564538e+02 4.3e-08 0.37 26 6.8e-05 5.0e-02 4.3e-03 1.00e+00 1.722893049e+02 1.724513693e+02 3.9e-08 0.38 27 6.1e-05 4.6e-02 3.9e-03 1.00e+00 1.723009275e+02 1.724467820e+02 3.5e-08 0.39 28 5.5e-05 4.2e-02 3.5e-03 1.00e+00 1.723113721e+02 1.724426382e+02 3.2e-08 0.40 29 4.9e-05 3.9e-02 3.1e-03 1.00e+00 1.723207578e+02 1.724388948e+02 2.8e-08 0.41 30 4.5e-05 3.6e-02 2.8e-03 1.00e+00 1.723291911e+02 1.724355123e+02 2.6e-08 0.42 31 4.0e-05 3.3e-02 2.5e-03 1.00e+00 1.723367686e+02 1.724324560e+02 2.3e-08 0.43 32 3.6e-05 3.1e-02 2.3e-03 1.00e+00 1.723435774e+02 1.724296946e+02 2.1e-08 0.44 33 3.2e-05 2.8e-02 2.0e-03 1.00e+00 1.723496961e+02 1.724272004e+02 1.9e-08 0.45 34 2.9e-05 2.6e-02 1.8e-03 1.00e+00 1.723551951e+02 1.724249481e+02 1.7e-08 0.47 35 2.6e-05 2.5e-02 1.7e-03 1.00e+00 1.723601380e+02 1.724229149e+02 1.5e-08 0.48 36 2.4e-05 2.3e-02 1.5e-03 1.00e+00 1.723645814e+02 1.724210801e+02 1.4e-08 0.48 37 2.1e-05 2.2e-02 1.3e-03 1.00e+00 1.723685763e+02 1.724194246e+02 1.2e-08 0.50 38 1.9e-05 2.0e-02 1.2e-03 1.00e+00 1.723721683e+02 1.724179314e+02 1.1e-08 0.51 39 1.7e-05 1.9e-02 1.1e-03 1.00e+00 1.723753982e+02 1.724165848e+02 9.9e-09 0.52 40 1.6e-05 1.8e-02 9.8e-04 1.00e+00 1.723783028e+02 1.724153706e+02 8.9e-09 0.53 41 1.4e-05 1.7e-02 8.8e-04 1.00e+00 1.723809150e+02 1.724142759e+02 8.0e-09 0.54 42 1.3e-05 1.6e-02 7.9e-04 1.00e+00 1.723832643e+02 1.724132890e+02 7.2e-09 0.55 43 1.1e-05 1.5e-02 7.1e-04 1.00e+00 1.723853774e+02 1.724123996e+02 6.5e-09 0.57 44 1.0e-05 1.5e-02 6.4e-04 1.00e+00 1.723872780e+02 1.724115979e+02 5.9e-09 0.58 45 9.2e-06 1.4e-02 5.8e-04 1.00e+00 1.723889875e+02 1.724108755e+02 5.3e-09 0.59 46 8.2e-06 1.3e-02 5.2e-04 1.00e+00 1.723905254e+02 1.724102245e+02 4.7e-09 0.60 47 7.4e-06 1.3e-02 4.7e-04 1.00e+00 1.723919087e+02 1.724096380e+02 4.3e-09 0.61 48 6.7e-06 1.2e-02 4.2e-04 1.00e+00 1.723931532e+02 1.724091096e+02 3.8e-09 0.62 49 6.0e-06 1.2e-02 3.8e-04 1.00e+00 1.723942728e+02 1.724086335e+02 3.5e-09 0.64 50 5.4e-06 1.1e-02 3.4e-04 1.00e+00 1.723952800e+02 1.724082047e+02 3.1e-09 0.65 51 4.9e-06 1.1e-02 3.1e-04 1.00e+00 1.723961862e+02 1.724078185e+02 2.8e-09 0.66 52 4.4e-06 1.1e-02 2.8e-04 1.00e+00 1.723970014e+02 1.724074705e+02 2.5e-09 0.67 53 3.9e-06 1.0e-02 2.5e-04 1.00e+00 1.723977350e+02 1.724071572e+02 2.3e-09 0.68 54 3.6e-06 1.0e-02 2.2e-04 1.00e+00 1.723983950e+02 1.724068750e+02 2.0e-09 0.69 55 3.2e-06 9.9e-03 2.0e-04 1.00e+00 1.723989888e+02 1.724066208e+02 1.8e-09 0.70 56 2.9e-06 9.7e-03 1.8e-04 1.00e+00 1.723995231e+02 1.724063920e+02 1.7e-09 0.71 57 2.6e-06 9.5e-03 1.6e-04 1.00e+00 1.724000038e+02 1.724061859e+02 1.5e-09 0.72 58 2.3e-06 9.3e-03 1.5e-04 1.00e+00 1.724004364e+02 1.724060003e+02 1.3e-09 0.73 59 2.1e-06 9.2e-03 1.3e-04 1.00e+00 1.724008257e+02 1.724058332e+02 1.2e-09 0.75 60 1.9e-06 9.0e-03 1.2e-04 1.00e+00 1.724011759e+02 1.724056827e+02 1.1e-09 0.76 61 1.7e-06 8.9e-03 1.1e-04 1.00e+00 1.724014911e+02 1.724055472e+02 9.8e-10 0.77 62 1.5e-06 8.8e-03 9.6e-05 1.00e+00 1.724017747e+02 1.724054252e+02 8.8e-10 0.78 63 1.4e-06 8.7e-03 8.7e-05 1.00e+00 1.724020299e+02 1.724053153e+02 7.9e-10 0.79 64 1.2e-06 8.6e-03 7.8e-05 1.00e+00 1.724022595e+02 1.724052164e+02 7.1e-10 0.81 65 1.1e-06 8.5e-03 7.0e-05 1.00e+00 1.724024661e+02 1.724051274e+02 6.4e-10 0.82 66 1.0e-06 8.4e-03 6.3e-05 1.00e+00 1.724026521e+02 1.724050472e+02 5.8e-10 0.83 67 9.0e-07 8.3e-03 5.7e-05 1.00e+00 1.724028194e+02 1.724049750e+02 5.2e-10 0.84 68 8.1e-07 8.3e-03 5.1e-05 1.00e+00 1.724029700e+02 1.724049101e+02 4.7e-10 0.85 69 7.3e-07 8.2e-03 4.6e-05 1.00e+00 1.724031055e+02 1.724048516e+02 4.2e-10 0.87 70 6.6e-07 8.1e-03 4.2e-05 1.00e+00 1.724032274e+02 1.724047989e+02 3.8e-10 0.88 71 5.9e-07 8.1e-03 3.7e-05 1.00e+00 1.724033371e+02 1.724047515e+02 3.4e-10 0.89 72 5.3e-07 8.0e-03 3.4e-05 1.00e+00 1.724034358e+02 1.724047088e+02 3.1e-10 0.90 73 4.8e-07 8.0e-03 3.0e-05 1.00e+00 1.724035247e+02 1.724046703e+02 2.8e-10 0.91 74 4.3e-07 7.9e-03 2.7e-05 1.00e+00 1.724036046e+02 1.724046357e+02 2.5e-10 0.92 75 3.9e-07 7.9e-03 2.5e-05 1.00e+00 1.724036766e+02 1.724046046e+02 2.2e-10 0.94 76 3.5e-07 7.9e-03 2.2e-05 1.00e+00 1.724037413e+02 1.724045765e+02 2.0e-10 0.95 77 3.1e-07 7.8e-03 2.0e-05 1.00e+00 1.724037996e+02 1.724045512e+02 1.8e-10 0.96 78 2.8e-07 7.8e-03 1.8e-05 1.00e+00 1.724038520e+02 1.724045285e+02 1.6e-10 0.97 79 2.5e-07 7.8e-03 1.6e-05 1.00e+00 1.724038992e+02 1.724045081e+02 1.5e-10 0.98 80 2.3e-07 7.7e-03 1.4e-05 1.00e+00 1.724039416e+02 1.724044896e+02 1.3e-10 0.99 81 2.1e-07 7.7e-03 1.3e-05 1.00e+00 1.724039798e+02 1.724044730e+02 1.2e-10 1.01 82 1.9e-07 7.7e-03 1.2e-05 1.00e+00 1.724040142e+02 1.724044581e+02 1.1e-10 1.02 83 1.7e-07 7.7e-03 1.1e-05 9.98e-01 1.724040451e+02 1.724044447e+02 9.6e-11 1.03 84 1.5e-07 7.6e-03 9.5e-06 9.99e-01 1.724040730e+02 1.724044325e+02 8.7e-11 1.05 85 1.4e-07 7.6e-03 8.6e-06 1.00e+00 1.724040981e+02 1.724044216e+02 7.8e-11 1.06 86 1.2e-07 7.6e-03 7.7e-06 1.00e+00 1.724041206e+02 1.724044117e+02 7.0e-11 1.07 87 1.1e-07 7.6e-03 6.9e-06 9.96e-01 1.724041409e+02 1.724044029e+02 6.3e-11 1.08 88 9.9e-08 7.6e-03 6.2e-06 9.90e-01 1.724041592e+02 1.724043950e+02 5.7e-11 1.09 89 8.9e-08 7.6e-03 5.6e-06 9.97e-01 1.724041756e+02 1.724043878e+02 5.1e-11 1.10 90 8.0e-08 7.5e-03 5.0e-06 9.96e-01 1.724041904e+02 1.724043814e+02 4.6e-11 1.11 91 7.2e-08 6.8e-03 4.5e-06 1.00e+00 1.724042037e+02 1.724043755e+02 4.1e-11 1.12 92 6.5e-08 6.1e-03 4.1e-06 9.90e-01 1.724042157e+02 1.724043704e+02 3.7e-11 1.13 93 5.8e-08 5.5e-03 3.7e-06 9.89e-01 1.724042264e+02 1.724043657e+02 3.4e-11 1.14 94 5.3e-08 4.9e-03 3.3e-06 1.01e+00 1.724042366e+02 1.724043614e+02 3.0e-11 1.15 95 4.8e-08 4.5e-03 3.0e-06 9.85e-01 1.724042453e+02 1.724043576e+02 2.7e-11 1.16 96 4.3e-08 4.0e-03 2.7e-06 1.02e+00 1.724042539e+02 1.724043535e+02 2.5e-11 1.17 97 3.9e-08 3.6e-03 2.4e-06 9.62e-01 1.724042609e+02 1.724043505e+02 2.2e-11 1.18 98 3.5e-08 3.2e-03 2.2e-06 1.04e+00 1.724042682e+02 1.724043473e+02 2.1e-11 1.19 99 3.1e-08 2.9e-03 2.0e-06 9.48e-01 1.724042737e+02 1.724043449e+02 1.8e-11 1.20 100 3.3e-08 2.6e-03 1.8e-06 9.93e-01 1.724042787e+02 1.724043424e+02 1.7e-11 1.21 101 2.7e-08 6.0e-04 4.0e-07 1.07e+00 1.724043138e+02 1.724043283e+02 4.2e-12 1.22 102 1.9e-08 5.4e-04 3.6e-07 1.71e+00 1.724043148e+02 1.724043272e+02 3.8e-12 1.23 103 1.1e-08 4.9e-04 3.3e-07 6.62e+00 1.724043156e+02 1.724043269e+02 3.4e-12 1.25 104 3.8e-07 7.6e-05 6.8e-07 1.00e+00 1.724043006e+02 1.724043239e+02 5.3e-13 1.26 Optimizer terminated. Time: 1.26 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.7240430055e+02 nrm: 4e+01 Viol. con: 8e-06 var: 0e+00 Dual. obj: 1.7240432386e+02 nrm: 8e+02 Viol. con: 0e+00 var: 5e-04 * End solution on dual form. * Transforming to primal solution. Solving took 1.3 seconds. Using solver 'mosek' Solving for 1768 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 482 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 873 Optimizer - Cones : 0 Optimizer - Scalar variables : 3462 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 : 1.49e+04 after factor : 1.57e+05 Factor - dense dim. : 0 flops : 3.26e+07 Factor - GP saved nzs : 3.37e+04 GP saved flops : 9.34e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.224327551e+05 2.000000000e+00 1.0e+00 0.05 1 1.6e+03 2.2e+03 8.8e+04 -9.71e-01 -1.216813483e+05 2.647106674e+00 7.2e-01 0.06 2 8.5e+02 1.1e+03 4.6e+04 -9.59e-01 -1.192698611e+05 4.803201327e+00 3.7e-01 0.07 3 2.9e+02 3.8e+02 1.6e+04 -9.19e-01 -1.104970572e+05 2.024725330e+01 1.3e-01 0.08 4 2.9e+02 3.8e+02 1.6e+04 -7.71e-01 -1.083239769e+05 1.915508401e+03 1.3e-01 0.10 5 1.2e+02 1.6e+02 6.6e+03 -7.61e-01 -8.791520474e+04 6.170113737e+03 5.5e-02 0.11 6 4.4e+01 5.8e+01 2.4e+03 -4.62e-01 -5.104551639e+04 1.044227472e+04 1.9e-02 0.12 7 2.6e+01 3.4e+01 1.4e+03 1.59e-01 -3.546492403e+04 7.351516040e+03 1.2e-02 0.13 8 1.3e+01 1.7e+01 6.9e+02 4.56e-01 -1.916966663e+04 4.670190638e+03 5.7e-03 0.14 9 4.5e+00 5.9e+00 2.4e+02 7.41e-01 -6.827042953e+03 2.226858378e+03 2.0e-03 0.15 10 3.4e+00 4.4e+00 1.8e+02 9.39e-01 -5.017275706e+03 1.793655671e+03 1.5e-03 0.16 11 1.1e+00 1.5e+00 6.1e+01 9.61e-01 -1.587697556e+03 7.238657166e+02 5.1e-04 0.17 12 9.0e-01 1.2e+00 4.9e+01 9.87e-01 -1.219371388e+03 6.449524040e+02 4.1e-04 0.18 13 7.3e-01 1.1e+00 4.0e+01 9.68e-01 -9.758699756e+02 5.568100605e+02 3.3e-04 0.19 14 3.7e-01 5.4e-01 2.0e+01 9.89e-01 -3.947836917e+02 3.889130817e+02 1.7e-04 0.20 15 1.9e-01 2.9e-01 1.0e+01 9.96e-01 -1.338511558e+02 2.689192391e+02 8.8e-05 0.21 16 8.8e-02 1.7e-01 4.9e+00 1.00e+00 1.847645464e+01 2.059038853e+02 4.1e-05 0.22 17 7.9e-02 1.5e-01 4.4e+00 1.01e+00 4.014646721e+01 2.086163615e+02 3.7e-05 0.24 18 2.9e-02 9.0e-02 1.7e+00 1.01e+00 1.188557664e+02 1.819900126e+02 1.4e-05 0.25 19 1.2e-02 1.2e-01 6.8e-01 1.02e+00 1.480655786e+02 1.739328234e+02 5.8e-06 0.26 20 5.5e-03 3.7e-01 3.1e-01 1.01e+00 1.580265231e+02 1.698825938e+02 2.7e-06 0.27 21 2.1e-03 1.6e-01 1.2e-01 1.01e+00 1.637303347e+02 1.682841321e+02 1.0e-06 0.29 22 1.4e-03 1.2e-01 8.2e-02 1.01e+00 1.648886250e+02 1.679675561e+02 7.0e-07 0.30 23 5.7e-04 8.8e-02 3.4e-02 1.01e+00 1.662118945e+02 1.674692652e+02 2.9e-07 0.31 24 2.9e-04 7.7e-02 1.7e-02 1.01e+00 1.666551422e+02 1.672890941e+02 1.5e-07 0.32 25 2.6e-04 7.0e-02 1.5e-02 1.01e+00 1.667024392e+02 1.672728727e+02 1.3e-07 0.33 26 2.3e-04 6.4e-02 1.4e-02 1.01e+00 1.667425270e+02 1.672557272e+02 1.2e-07 0.34 27 2.1e-04 5.8e-02 1.2e-02 1.01e+00 1.667789192e+02 1.672406641e+02 1.1e-07 0.35 28 1.9e-04 5.3e-02 1.1e-02 1.01e+00 1.668114775e+02 1.672269336e+02 9.7e-08 0.36 29 1.7e-04 4.9e-02 1.0e-02 1.01e+00 1.668406754e+02 1.672144938e+02 8.7e-08 0.38 30 1.5e-04 4.5e-02 9.1e-03 1.01e+00 1.668668443e+02 1.672032053e+02 7.8e-08 0.39 31 1.4e-04 4.1e-02 8.2e-03 1.01e+00 1.668903032e+02 1.671929661e+02 7.1e-08 0.40 32 1.2e-04 3.8e-02 7.3e-03 1.01e+00 1.669113344e+02 1.671836806e+02 6.4e-08 0.42 33 1.1e-04 3.5e-02 6.6e-03 1.01e+00 1.669301919e+02 1.671752626e+02 5.7e-08 0.43 34 9.9e-05 3.2e-02 6.0e-03 1.00e+00 1.669471035e+02 1.671676342e+02 5.1e-08 0.44 35 9.0e-05 3.0e-02 5.4e-03 1.00e+00 1.669622729e+02 1.671607240e+02 4.6e-08 0.46 36 8.1e-05 2.8e-02 4.8e-03 1.00e+00 1.669758820e+02 1.671544676e+02 4.2e-08 0.48 37 7.3e-05 2.6e-02 4.3e-03 1.00e+00 1.669880933e+02 1.671488038e+02 3.8e-08 0.49 38 6.5e-05 2.4e-02 3.9e-03 1.00e+00 1.669990522e+02 1.671436782e+02 3.4e-08 0.51 39 5.9e-05 2.2e-02 3.5e-03 1.00e+00 1.670088888e+02 1.671390405e+02 3.0e-08 0.52 40 5.3e-05 2.1e-02 3.2e-03 1.00e+00 1.670177195e+02 1.671348474e+02 2.7e-08 0.53 41 4.8e-05 2.0e-02 2.8e-03 1.00e+00 1.670256477e+02 1.671310567e+02 2.5e-08 0.55 42 4.3e-05 1.8e-02 2.6e-03 1.00e+00 1.670327665e+02 1.671276302e+02 2.2e-08 0.56 43 3.9e-05 1.7e-02 2.3e-03 1.00e+00 1.670391594e+02 1.671245321e+02 2.0e-08 0.57 44 3.5e-05 1.7e-02 2.1e-03 1.00e+00 1.670449016e+02 1.671217321e+02 1.8e-08 0.59 45 3.1e-05 1.6e-02 1.9e-03 1.00e+00 1.670500597e+02 1.671192049e+02 1.6e-08 0.60 46 2.8e-05 1.5e-02 1.7e-03 1.00e+00 1.670546929e+02 1.671169216e+02 1.5e-08 0.61 47 2.5e-05 1.4e-02 1.5e-03 1.00e+00 1.670588557e+02 1.671148599e+02 1.3e-08 0.63 48 2.3e-05 1.4e-02 1.4e-03 1.00e+00 1.670625960e+02 1.671129976e+02 1.2e-08 0.64 49 2.0e-05 1.3e-02 1.2e-03 1.00e+00 1.670659573e+02 1.671113174e+02 1.1e-08 0.65 50 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.670689777e+02 1.671098016e+02 9.6e-09 0.67 51 1.7e-05 1.2e-02 9.9e-04 1.00e+00 1.670716922e+02 1.671084342e+02 8.6e-09 0.68 52 1.5e-05 1.2e-02 8.9e-04 1.00e+00 1.670741319e+02 1.671072001e+02 7.7e-09 0.69 53 1.3e-05 1.1e-02 8.0e-04 1.00e+00 1.670763250e+02 1.671060869e+02 7.0e-09 0.70 54 1.2e-05 1.1e-02 7.2e-04 1.00e+00 1.670782965e+02 1.671050829e+02 6.3e-09 0.72 55 1.1e-05 1.1e-02 6.5e-04 1.00e+00 1.670800691e+02 1.671041767e+02 5.6e-09 0.73 56 9.8e-06 1.1e-02 5.9e-04 1.00e+00 1.670816629e+02 1.671033600e+02 5.1e-09 0.74 57 8.8e-06 1.0e-02 5.3e-04 1.00e+00 1.670830960e+02 1.671026232e+02 4.6e-09 0.76 58 7.9e-06 1.0e-02 4.8e-04 1.00e+00 1.670843850e+02 1.671019578e+02 4.1e-09 0.77 59 7.1e-06 1.0e-02 4.3e-04 1.00e+00 1.670855442e+02 1.671013584e+02 3.7e-09 0.78 60 6.4e-06 9.8e-03 3.9e-04 1.00e+00 1.670865865e+02 1.671008191e+02 3.3e-09 0.80 61 5.8e-06 9.7e-03 3.5e-04 9.99e-01 1.670875237e+02 1.671003340e+02 3.0e-09 0.81 62 2.2e-06 3.6e-03 1.3e-04 1.00e+00 1.670927405e+02 1.670975940e+02 1.1e-09 0.82 63 8.8e-07 1.5e-03 5.3e-05 9.98e-01 1.670946467e+02 1.670965975e+02 4.6e-10 0.83 64 7.9e-07 1.3e-03 4.8e-05 9.88e-01 1.670947778e+02 1.670965343e+02 4.1e-10 0.85 65 4.8e-07 8.0e-04 2.9e-05 1.01e+00 1.670952311e+02 1.670962876e+02 2.5e-10 0.86 66 4.3e-07 7.2e-04 2.6e-05 9.82e-01 1.670953009e+02 1.670962527e+02 2.2e-10 0.87 67 3.9e-07 6.4e-04 2.3e-05 1.01e+00 1.670953651e+02 1.670962182e+02 2.0e-10 0.88 68 3.5e-07 5.8e-04 2.1e-05 9.96e-01 1.670954207e+02 1.670961888e+02 1.8e-10 0.90 69 3.1e-07 5.2e-04 1.9e-05 9.51e-01 1.670954705e+02 1.670961633e+02 1.6e-10 0.91 70 2.8e-07 4.7e-04 1.7e-05 1.04e+00 1.670955223e+02 1.670961346e+02 1.5e-10 0.92 71 2.5e-07 4.2e-04 1.5e-05 1.00e+00 1.670955621e+02 1.670961134e+02 1.3e-10 0.93 72 2.3e-07 3.8e-04 1.4e-05 1.09e+00 1.670956120e+02 1.670960845e+02 1.3e-10 0.95 73 2.1e-07 3.4e-04 1.2e-05 1.07e+00 1.670956528e+02 1.670960614e+02 1.2e-10 0.96 74 1.9e-07 3.1e-04 1.1e-05 1.02e+00 1.670956818e+02 1.670960459e+02 1.1e-10 0.97 75 1.7e-07 2.8e-04 1.0e-05 1.02e+00 1.670957070e+02 1.670960326e+02 9.7e-11 0.98 76 1.5e-07 2.5e-04 9.0e-06 9.55e-01 1.670957282e+02 1.670960220e+02 8.7e-11 1.00 77 1.4e-07 2.2e-04 8.1e-06 1.07e+00 1.670957537e+02 1.670960077e+02 8.1e-11 1.00 78 1.2e-07 2.0e-04 7.3e-06 1.07e+00 1.670957761e+02 1.670959950e+02 7.6e-11 1.02 79 1.1e-07 1.8e-04 6.6e-06 1.04e+00 1.670957934e+02 1.670959856e+02 7.0e-11 1.03 80 9.9e-08 1.6e-04 5.9e-06 9.23e-01 1.670958060e+02 1.670959795e+02 6.3e-11 1.04 81 9.0e-08 1.5e-04 5.3e-06 1.24e+00 1.670958180e+02 1.670959719e+02 5.6e-11 1.06 82 8.1e-08 1.3e-04 4.8e-06 8.86e-01 1.670958281e+02 1.670959671e+02 5.1e-11 1.07 83 7.2e-08 1.2e-04 4.3e-06 8.05e-01 1.670958370e+02 1.670959635e+02 4.6e-11 1.08 84 6.5e-08 1.1e-04 3.9e-06 8.67e-01 1.670958452e+02 1.670959597e+02 4.1e-11 1.09 85 5.9e-08 9.7e-05 3.5e-06 6.94e-01 1.670958524e+02 1.670959572e+02 3.7e-11 1.10 86 5.5e-08 8.7e-05 3.1e-06 2.15e+00 1.670958604e+02 1.670959489e+02 3.3e-11 1.12 87 5.0e-08 7.8e-05 2.8e-06 9.73e-01 1.670958664e+02 1.670959461e+02 3.0e-11 1.13 88 4.6e-08 7.0e-05 2.5e-06 1.10e+00 1.670958743e+02 1.670959420e+02 2.8e-11 1.14 89 6.9e-08 6.3e-05 2.3e-06 3.61e+00 1.670958814e+02 1.670959335e+02 2.4e-11 1.15 90 6.2e-08 5.7e-05 2.1e-06 1.04e+00 1.670958860e+02 1.670959319e+02 2.2e-11 1.16 91 5.8e-08 5.1e-05 1.9e-06 8.51e-01 1.670958893e+02 1.670959310e+02 2.0e-11 1.18 92 5.9e-08 4.6e-05 1.7e-06 3.05e+00 1.670958941e+02 1.670959277e+02 1.7e-11 1.19 93 5.4e-08 4.2e-05 1.5e-06 9.23e-01 1.670958966e+02 1.670959271e+02 1.6e-11 1.20 94 4.7e-08 3.7e-05 1.4e-06 8.68e-01 1.670958989e+02 1.670959265e+02 1.4e-11 1.21 95 4.4e-08 3.4e-05 1.2e-06 1.30e+00 1.670959011e+02 1.670959258e+02 1.3e-11 1.23 96 4.4e-08 3.0e-05 1.1e-06 2.49e+00 1.670959039e+02 1.670959244e+02 1.1e-11 1.24 97 4.8e-09 3.2e-06 1.1e-07 8.44e-01 1.670959190e+02 1.670959213e+02 1.7e-12 1.25 Optimizer terminated. Time: 1.26 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6709591897e+02 nrm: 2e+01 Viol. con: 6e-08 var: 0e+00 Dual. obj: 1.6709592125e+02 nrm: 9e+02 Viol. con: 0e+00 var: 1e-05 * End solution on dual form. * Transforming to primal solution. Solving took 1.3 seconds. Using solver 'mosek' Solving for 1768 variables. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (313) 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 482 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 873 Optimizer - Cones : 0 Optimizer - Scalar variables : 3462 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 : 1.49e+04 after factor : 1.57e+05 Factor - dense dim. : 0 flops : 3.26e+07 Factor - GP saved nzs : 3.37e+04 GP saved flops : 9.34e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.223581880e+05 2.000000000e+00 1.0e+00 0.05 1 1.7e+03 2.2e+03 8.9e+04 -9.71e-01 -1.216207073e+05 2.628833702e+00 7.2e-01 0.06 2 8.7e+02 1.1e+03 4.7e+04 -9.59e-01 -1.193316428e+05 4.638356624e+00 3.8e-01 0.08 3 2.9e+02 3.8e+02 1.6e+04 -9.21e-01 -1.104197427e+05 2.002454832e+01 1.3e-01 0.09 4 2.9e+02 3.8e+02 1.5e+04 -7.71e-01 -1.081724339e+05 1.983699491e+03 1.3e-01 0.10 5 1.2e+02 1.6e+02 6.4e+03 -7.61e-01 -8.690115711e+04 6.396992344e+03 5.3e-02 0.11 6 4.0e+01 5.3e+01 2.2e+03 -4.47e-01 -4.771003122e+04 1.103855097e+04 1.8e-02 0.13 7 2.5e+01 3.3e+01 1.3e+03 2.18e-01 -3.389201759e+04 7.549061717e+03 1.1e-02 0.14 8 1.1e+01 1.4e+01 5.8e+02 4.86e-01 -1.644444395e+04 4.097473790e+03 4.8e-03 0.15 9 4.2e+00 5.5e+00 2.3e+02 7.91e-01 -6.302686153e+03 2.124014637e+03 1.9e-03 0.17 10 2.4e+00 3.1e+00 1.3e+02 9.45e-01 -3.466909138e+03 1.414407312e+03 1.1e-03 0.18 11 1.1e+00 1.4e+00 5.9e+01 9.81e-01 -1.503911244e+03 7.432839272e+02 4.9e-04 0.19 12 8.3e-01 1.1e+00 4.5e+01 9.85e-01 -1.109403840e+03 6.058101723e+02 3.7e-04 0.20 13 5.8e-01 7.9e-01 3.2e+01 9.66e-01 -7.539123756e+02 4.697730967e+02 2.6e-04 0.21 14 3.3e-01 4.5e-01 1.8e+01 9.98e-01 -3.315180349e+02 3.561202862e+02 1.5e-04 0.23 15 9.9e-02 1.8e-01 5.6e+00 9.93e-01 -5.626632191e+00 2.082400810e+02 4.7e-05 0.24 16 9.0e-02 1.6e-01 5.1e+00 1.02e+00 1.966600076e+01 2.126774959e+02 4.3e-05 0.25 17 3.9e-02 1.0e-01 2.2e+00 1.02e+00 1.013712646e+02 1.848718234e+02 1.9e-05 0.26 18 1.1e-02 1.7e-01 6.1e-01 1.02e+00 1.498828807e+02 1.727908070e+02 5.1e-06 0.27 19 3.5e-03 1.9e-01 2.1e-01 1.01e+00 1.608923238e+02 1.685837962e+02 1.7e-06 0.29 20 1.4e-03 1.2e-01 8.1e-02 1.01e+00 1.644522069e+02 1.674814873e+02 6.9e-07 0.30 21 6.7e-04 8.4e-02 4.0e-02 9.99e-01 1.655690948e+02 1.670700255e+02 3.5e-07 0.31 22 2.9e-04 8.2e-02 1.7e-02 1.01e+00 1.661833190e+02 1.668310671e+02 1.5e-07 0.33 23 2.6e-04 7.6e-02 1.6e-02 1.01e+00 1.662352729e+02 1.668181495e+02 1.4e-07 0.34 24 2.3e-04 6.9e-02 1.4e-02 1.01e+00 1.662761249e+02 1.668005727e+02 1.2e-07 0.35 25 2.1e-04 6.3e-02 1.3e-02 1.01e+00 1.663130886e+02 1.667849709e+02 1.1e-07 0.36 26 1.9e-04 5.7e-02 1.1e-02 1.01e+00 1.663461849e+02 1.667707813e+02 9.9e-08 0.38 27 1.7e-04 5.2e-02 1.0e-02 1.01e+00 1.663758974e+02 1.667579550e+02 8.9e-08 0.39 28 1.5e-04 4.8e-02 9.3e-03 1.01e+00 1.664025669e+02 1.667463549e+02 8.0e-08 0.40 29 1.4e-04 4.4e-02 8.3e-03 1.01e+00 1.664265094e+02 1.667358675e+02 7.2e-08 0.42 30 1.2e-04 4.0e-02 7.5e-03 1.00e+00 1.664480051e+02 1.667263866e+02 6.5e-08 0.43 31 1.1e-04 3.7e-02 6.8e-03 1.00e+00 1.664673054e+02 1.667178163e+02 5.9e-08 0.44 32 1.0e-04 3.4e-02 6.1e-03 1.00e+00 1.664846353e+02 1.667100695e+02 5.3e-08 0.45 33 9.0e-05 3.2e-02 5.5e-03 1.00e+00 1.665001968e+02 1.667030675e+02 4.7e-08 0.46 34 8.1e-05 2.9e-02 4.9e-03 1.00e+00 1.665141711e+02 1.666967387e+02 4.3e-08 0.48 35 7.3e-05 2.7e-02 4.4e-03 1.00e+00 1.665267204e+02 1.666910189e+02 3.8e-08 0.49 36 6.5e-05 2.5e-02 4.0e-03 1.00e+00 1.665379905e+02 1.666858495e+02 3.5e-08 0.50 37 5.9e-05 2.4e-02 3.6e-03 1.00e+00 1.665481123e+02 1.666811779e+02 3.1e-08 0.51 38 5.3e-05 2.2e-02 3.2e-03 1.00e+00 1.665572032e+02 1.666769563e+02 2.8e-08 0.53 39 4.8e-05 2.1e-02 2.9e-03 1.00e+00 1.665653684e+02 1.666731419e+02 2.5e-08 0.54 40 4.3e-05 1.9e-02 2.6e-03 1.00e+00 1.665727028e+02 1.666696955e+02 2.3e-08 0.55 41 3.9e-05 1.8e-02 2.4e-03 1.00e+00 1.665792910e+02 1.666665819e+02 2.0e-08 0.57 42 3.5e-05 1.7e-02 2.1e-03 1.00e+00 1.665852094e+02 1.666637694e+02 1.8e-08 0.58 43 3.1e-05 1.6e-02 1.9e-03 1.00e+00 1.665905264e+02 1.666612290e+02 1.7e-08 0.59 44 2.8e-05 1.6e-02 1.7e-03 1.00e+00 1.665953034e+02 1.666589347e+02 1.5e-08 0.61 45 2.5e-05 1.5e-02 1.5e-03 1.00e+00 1.665995954e+02 1.666568629e+02 1.3e-08 0.62 46 2.3e-05 1.4e-02 1.4e-03 1.00e+00 1.666034519e+02 1.666549922e+02 1.2e-08 0.63 47 2.1e-05 1.4e-02 1.3e-03 1.00e+00 1.666069174e+02 1.666533033e+02 1.1e-08 0.65 48 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.666100317e+02 1.666517788e+02 9.8e-09 0.66 49 1.7e-05 1.3e-02 1.0e-03 1.00e+00 1.666128305e+02 1.666504028e+02 8.8e-09 0.68 50 1.5e-05 1.2e-02 9.1e-04 1.00e+00 1.666153460e+02 1.666491611e+02 7.9e-09 0.69 51 1.3e-05 1.2e-02 8.2e-04 1.00e+00 1.666176070e+02 1.666480406e+02 7.1e-09 0.70 52 1.2e-05 1.1e-02 7.4e-04 1.00e+00 1.666196393e+02 1.666470297e+02 6.4e-09 0.72 53 1.1e-05 1.1e-02 6.7e-04 1.00e+00 1.666214662e+02 1.666461177e+02 5.8e-09 0.73 54 9.8e-06 1.1e-02 6.0e-04 1.00e+00 1.666231086e+02 1.666452950e+02 5.2e-09 0.74 55 8.8e-06 1.1e-02 5.4e-04 1.00e+00 1.666245852e+02 1.666445530e+02 4.7e-09 0.76 56 8.0e-06 1.0e-02 4.9e-04 1.00e+00 1.666259127e+02 1.666438839e+02 4.2e-09 0.77 57 7.2e-06 1.0e-02 4.4e-04 1.00e+00 1.666271063e+02 1.666432805e+02 3.8e-09 0.78 58 6.4e-06 1.0e-02 3.9e-04 1.00e+00 1.666281795e+02 1.666427364e+02 3.4e-09 0.79 59 5.8e-06 9.8e-03 3.5e-04 1.00e+00 1.666291444e+02 1.666422458e+02 3.1e-09 0.81 60 5.2e-06 9.7e-03 3.2e-04 1.00e+00 1.666300122e+02 1.666418035e+02 2.8e-09 0.82 61 4.7e-06 9.5e-03 2.9e-04 1.00e+00 1.666307924e+02 1.666414047e+02 2.5e-09 0.83 62 4.2e-06 9.4e-03 2.6e-04 1.00e+00 1.666314940e+02 1.666410451e+02 2.2e-09 0.84 63 3.8e-06 9.3e-03 2.3e-04 1.00e+00 1.666321249e+02 1.666407210e+02 2.0e-09 0.85 64 3.4e-06 9.2e-03 2.1e-04 1.00e+00 1.666326921e+02 1.666404287e+02 1.8e-09 0.87 65 3.1e-06 9.1e-03 1.9e-04 1.00e+00 1.666332022e+02 1.666401652e+02 1.6e-09 0.88 66 2.8e-06 9.0e-03 1.7e-04 1.00e+00 1.666336608e+02 1.666399276e+02 1.5e-09 0.89 67 2.5e-06 8.9e-03 1.5e-04 1.00e+00 1.666340733e+02 1.666397134e+02 1.3e-09 0.91 68 2.2e-06 8.9e-03 1.4e-04 1.00e+00 1.666344443e+02 1.666395204e+02 1.2e-09 0.92 69 2.0e-06 8.8e-03 1.2e-04 1.00e+00 1.666347779e+02 1.666393465e+02 1.1e-09 0.93 70 1.8e-06 8.7e-03 1.1e-04 1.00e+00 1.666350780e+02 1.666391898e+02 9.7e-10 0.94 71 1.6e-06 8.7e-03 1.0e-04 1.00e+00 1.666353480e+02 1.666390486e+02 8.7e-10 0.95 72 1.5e-06 8.6e-03 9.0e-05 1.00e+00 1.666355907e+02 1.666389213e+02 7.8e-10 0.97 73 1.3e-06 8.6e-03 8.1e-05 1.00e+00 1.666358091e+02 1.666388067e+02 7.0e-10 0.98 74 1.2e-06 8.5e-03 7.3e-05 1.00e+00 1.666360055e+02 1.666387033e+02 6.3e-10 0.99 75 1.1e-06 8.5e-03 6.6e-05 1.00e+00 1.666361822e+02 1.666386102e+02 5.7e-10 1.00 76 9.7e-07 8.5e-03 5.9e-05 1.00e+00 1.666363410e+02 1.666385263e+02 5.1e-10 1.01 77 8.7e-07 8.4e-03 5.3e-05 1.00e+00 1.666364839e+02 1.666384506e+02 4.6e-10 1.03 78 7.8e-07 8.4e-03 4.8e-05 1.00e+00 1.666366124e+02 1.666383825e+02 4.2e-10 1.04 79 7.0e-07 8.4e-03 4.3e-05 1.00e+00 1.666367279e+02 1.666383210e+02 3.7e-10 1.05 80 6.3e-07 8.3e-03 3.9e-05 1.00e+00 1.666368319e+02 1.666382656e+02 3.4e-10 1.07 81 5.7e-07 8.3e-03 3.5e-05 1.00e+00 1.666369253e+02 1.666382157e+02 3.0e-10 1.08 82 5.1e-07 8.3e-03 3.1e-05 1.00e+00 1.666370093e+02 1.666381706e+02 2.7e-10 1.09 83 4.6e-07 8.3e-03 2.8e-05 1.00e+00 1.666370849e+02 1.666381300e+02 2.5e-10 1.10 84 4.2e-07 8.2e-03 2.5e-05 1.00e+00 1.666371528e+02 1.666380935e+02 2.2e-10 1.11 85 3.7e-07 8.2e-03 2.3e-05 1.00e+00 1.666372139e+02 1.666380605e+02 2.0e-10 1.13 86 3.4e-07 8.2e-03 2.1e-05 1.00e+00 1.666372688e+02 1.666380307e+02 1.8e-10 1.14 87 3.0e-07 8.2e-03 1.9e-05 1.00e+00 1.666373182e+02 1.666380040e+02 1.6e-10 1.15 88 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.666373626e+02 1.666379798e+02 1.5e-10 1.16 89 2.5e-07 8.1e-03 1.5e-05 1.00e+00 1.666374026e+02 1.666379581e+02 1.3e-10 1.17 90 2.2e-07 8.1e-03 1.4e-05 1.00e+00 1.666374385e+02 1.666379385e+02 1.2e-10 1.19 91 2.0e-07 8.1e-03 1.2e-05 1.00e+00 1.666374709e+02 1.666379208e+02 1.1e-10 1.20 92 1.8e-07 8.0e-03 1.1e-05 9.99e-01 1.666375000e+02 1.666379050e+02 9.5e-11 1.21 93 1.6e-07 8.0e-03 9.9e-06 9.99e-01 1.666375262e+02 1.666378908e+02 8.6e-11 1.23 94 1.5e-07 8.0e-03 8.9e-06 1.00e+00 1.666375497e+02 1.666378779e+02 7.7e-11 1.24 95 1.3e-07 8.0e-03 8.0e-06 1.00e+00 1.666375709e+02 1.666378663e+02 6.9e-11 1.25 96 1.2e-07 8.0e-03 7.2e-06 1.00e+00 1.666375900e+02 1.666378558e+02 6.2e-11 1.27 97 1.1e-07 7.9e-03 6.5e-06 1.00e+00 1.666376072e+02 1.666378464e+02 5.6e-11 1.28 98 9.5e-08 7.9e-03 5.8e-06 9.99e-01 1.666376226e+02 1.666378379e+02 5.1e-11 1.29 99 8.6e-08 7.9e-03 5.2e-06 1.00e+00 1.666376365e+02 1.666378303e+02 4.6e-11 1.30 100 7.7e-08 7.9e-03 4.7e-06 1.00e+00 1.666376490e+02 1.666378234e+02 4.1e-11 1.31 101 6.9e-08 7.9e-03 4.2e-06 1.00e+00 1.666376603e+02 1.666378172e+02 3.7e-11 1.33 102 6.2e-08 7.9e-03 3.8e-06 9.98e-01 1.666376704e+02 1.666378117e+02 3.3e-11 1.34 103 5.6e-08 7.8e-03 3.4e-06 1.00e+00 1.666376796e+02 1.666378067e+02 3.0e-11 1.35 104 5.1e-08 7.8e-03 3.1e-06 9.99e-01 1.666376878e+02 1.666378022e+02 2.7e-11 1.36 105 4.6e-08 7.8e-03 2.8e-06 1.00e+00 1.666376951e+02 1.666377981e+02 2.4e-11 1.38 106 4.1e-08 7.8e-03 2.5e-06 9.96e-01 1.666377018e+02 1.666377945e+02 2.2e-11 1.39 107 3.7e-08 7.8e-03 2.3e-06 9.98e-01 1.666377078e+02 1.666377912e+02 2.0e-11 1.40 108 3.3e-08 7.8e-03 2.0e-06 1.00e+00 1.666377132e+02 1.666377883e+02 1.8e-11 1.41 109 3.0e-08 7.0e-03 1.8e-06 1.01e+00 1.666377181e+02 1.666377855e+02 1.6e-11 1.42 110 2.7e-08 6.3e-03 1.6e-06 1.00e+00 1.666377224e+02 1.666377831e+02 1.4e-11 1.43 111 2.4e-08 5.7e-03 1.5e-06 1.00e+00 1.666377264e+02 1.666377810e+02 1.3e-11 1.45 112 2.2e-08 5.1e-03 1.3e-06 1.01e+00 1.666377300e+02 1.666377790e+02 1.2e-11 1.46 113 2.0e-08 4.6e-03 1.2e-06 1.00e+00 1.666377332e+02 1.666377772e+02 1.0e-11 1.47 114 2.0e-08 4.6e-03 1.2e-06 9.95e-01 1.666377333e+02 1.666377773e+02 1.0e-11 1.48 115 1.8e-08 4.1e-03 1.1e-06 9.97e-01 1.666377361e+02 1.666377757e+02 9.4e-12 1.49 116 1.6e-08 3.7e-03 9.7e-07 1.01e+00 1.666377387e+02 1.666377743e+02 8.5e-12 1.51 117 1.5e-08 3.3e-03 8.7e-07 1.01e+00 1.666377410e+02 1.666377730e+02 7.6e-12 1.52 118 1.3e-08 3.0e-03 7.8e-07 1.00e+00 1.666377431e+02 1.666377718e+02 6.9e-12 1.53 119 1.2e-08 2.7e-03 7.0e-07 9.99e-01 1.666377450e+02 1.666377708e+02 6.2e-12 1.54 120 1.1e-08 2.4e-03 6.3e-07 9.94e-01 1.666377466e+02 1.666377699e+02 5.6e-12 1.55 121 9.7e-09 2.2e-03 5.7e-07 9.92e-01 1.666377481e+02 1.666377690e+02 5.0e-12 1.56 122 9.0e-09 2.0e-03 5.1e-07 1.01e+00 1.666377495e+02 1.666377683e+02 4.5e-12 1.57 123 8.2e-09 1.8e-03 4.6e-07 9.94e-01 1.666377507e+02 1.666377676e+02 4.1e-12 1.59 124 7.3e-09 1.6e-03 4.2e-07 1.01e+00 1.666377519e+02 1.666377670e+02 3.7e-12 1.59 125 6.6e-09 1.4e-03 3.7e-07 1.00e+00 1.666377528e+02 1.666377664e+02 3.3e-12 1.61 126 5.9e-09 1.3e-03 3.4e-07 9.98e-01 1.666377537e+02 1.666377659e+02 3.0e-12 1.62 127 7.8e-09 1.2e-03 3.0e-07 9.92e-01 1.666377545e+02 1.666377655e+02 2.7e-12 1.63 128 7.0e-09 1.0e-03 2.7e-07 1.01e+00 1.666377552e+02 1.666377651e+02 2.4e-12 1.64 129 6.3e-09 9.4e-04 2.5e-07 1.04e+00 1.666377560e+02 1.666377647e+02 2.2e-12 1.65 130 4.4e-09 8.5e-04 2.2e-07 9.87e-01 1.666377566e+02 1.666377644e+02 2.0e-12 1.67 131 2.2e-08 2.4e-04 4.3e-09 7.60e-01 1.666377647e+02 1.666377650e+02 5.2e-13 1.68 Optimizer terminated. Time: 1.68 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6663776471e+02 nrm: 2e+01 Viol. con: 8e-07 var: 0e+00 Dual. obj: 1.6663776503e+02 nrm: 9e+02 Viol. con: 0e+00 var: 4e-03 * End solution on dual form. * Transforming to primal solution. Solving took 1.72 seconds. Using solver 'mosek' Solving for 1768 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 482 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 873 Optimizer - Cones : 0 Optimizer - Scalar variables : 3462 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 : 1.49e+04 after factor : 1.57e+05 Factor - dense dim. : 0 flops : 3.26e+07 Factor - GP saved nzs : 3.37e+04 GP saved flops : 9.34e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.223844447e+05 2.000000000e+00 1.0e+00 0.05 1 1.7e+03 2.2e+03 8.9e+04 -9.71e-01 -1.216526186e+05 2.621307516e+00 7.3e-01 0.05 2 8.7e+02 1.1e+03 4.7e+04 -9.59e-01 -1.193637044e+05 4.626148661e+00 3.8e-01 0.06 3 2.9e+02 3.8e+02 1.5e+04 -9.21e-01 -1.103995372e+05 1.997391954e+01 1.3e-01 0.08 4 2.9e+02 3.8e+02 1.5e+04 -7.71e-01 -1.080822190e+05 2.042697686e+03 1.3e-01 0.09 5 1.2e+02 1.6e+02 6.4e+03 -7.60e-01 -8.699173306e+04 6.321800779e+03 5.3e-02 0.10 6 4.1e+01 5.4e+01 2.2e+03 -4.49e-01 -4.865820875e+04 1.101126990e+04 1.8e-02 0.11 7 2.4e+01 3.2e+01 1.3e+03 1.99e-01 -3.315603760e+04 7.461031895e+03 1.1e-02 0.12 8 1.2e+01 1.6e+01 6.5e+02 4.98e-01 -1.808984783e+04 4.488227388e+03 5.3e-03 0.14 9 4.6e+00 6.0e+00 2.5e+02 7.63e-01 -7.017022285e+03 2.200334188e+03 2.0e-03 0.15 10 2.1e+00 2.8e+00 1.1e+02 9.36e-01 -3.013574993e+03 1.298063265e+03 9.5e-04 0.16 11 1.3e+00 1.6e+00 6.8e+01 9.86e-01 -1.733134262e+03 8.404669180e+02 5.6e-04 0.17 12 8.1e-01 1.1e+00 4.4e+01 9.87e-01 -1.079217140e+03 6.046322849e+02 3.7e-04 0.19 13 6.1e-01 8.2e-01 3.3e+01 9.60e-01 -7.896096919e+02 4.869528628e+02 2.8e-04 0.20 14 3.6e-01 4.9e-01 1.9e+01 9.97e-01 -3.718428962e+02 3.755278439e+02 1.6e-04 0.21 15 1.8e-01 2.6e-01 1.0e+01 9.91e-01 -1.239916996e+02 2.622463982e+02 8.4e-05 0.23 16 8.5e-02 1.4e-01 4.7e+00 1.00e+00 2.254305964e+01 2.029655165e+02 4.0e-05 0.24 17 7.2e-02 1.1e-01 4.0e+00 1.02e+00 4.882140998e+01 2.008632442e+02 3.4e-05 0.25 18 2.2e-02 8.7e-02 1.3e+00 1.02e+00 1.302065439e+02 1.776815265e+02 1.1e-05 0.25 19 7.3e-03 1.8e-01 4.1e-01 1.01e+00 1.552256873e+02 1.707986362e+02 3.5e-06 0.27 20 2.9e-03 1.6e-01 1.7e-01 1.01e+00 1.619245831e+02 1.681612439e+02 1.4e-06 0.28 21 1.5e-03 1.0e-01 8.9e-02 1.00e+00 1.640996354e+02 1.674649706e+02 7.6e-07 0.29 22 5.3e-04 1.0e-01 3.1e-02 1.01e+00 1.656947408e+02 1.668767093e+02 2.7e-07 0.30 23 1.9e-04 1.0e-01 1.1e-02 1.01e+00 1.662324741e+02 1.666610701e+02 1.0e-07 0.31 24 1.7e-04 9.3e-02 1.0e-02 1.01e+00 1.662653398e+02 1.666509812e+02 9.0e-08 0.32 25 1.5e-04 8.5e-02 9.3e-03 1.01e+00 1.662923135e+02 1.666392585e+02 8.1e-08 0.33 26 1.4e-04 7.7e-02 8.4e-03 1.01e+00 1.663167164e+02 1.666288558e+02 7.3e-08 0.34 27 1.2e-04 7.0e-02 7.5e-03 1.01e+00 1.663385691e+02 1.666194032e+02 6.5e-08 0.35 28 1.1e-04 6.4e-02 6.8e-03 1.01e+00 1.663581774e+02 1.666108524e+02 5.9e-08 0.36 29 1.0e-04 5.8e-02 6.1e-03 1.01e+00 1.663757676e+02 1.666031129e+02 5.3e-08 0.37 30 9.1e-05 5.3e-02 5.5e-03 1.01e+00 1.663915491e+02 1.665961089e+02 4.8e-08 0.39 31 8.2e-05 4.9e-02 4.9e-03 1.01e+00 1.664057090e+02 1.665897710e+02 4.3e-08 0.40 32 7.4e-05 4.5e-02 4.4e-03 1.01e+00 1.664184151e+02 1.665840367e+02 3.9e-08 0.41 33 6.6e-05 4.1e-02 4.0e-03 1.01e+00 1.664298179e+02 1.665788495e+02 3.5e-08 0.42 34 6.0e-05 3.8e-02 3.6e-03 1.01e+00 1.664400524e+02 1.665741581e+02 3.1e-08 0.44 35 5.4e-05 3.5e-02 3.2e-03 1.00e+00 1.664492392e+02 1.665699159e+02 2.8e-08 0.45 36 4.8e-05 3.2e-02 2.9e-03 1.00e+00 1.664574865e+02 1.665660807e+02 2.5e-08 0.46 37 4.3e-05 3.0e-02 2.6e-03 1.00e+00 1.664648914e+02 1.665626140e+02 2.3e-08 0.48 38 3.9e-05 2.7e-02 2.4e-03 1.00e+00 1.664715405e+02 1.665594811e+02 2.1e-08 0.49 39 3.5e-05 2.5e-02 2.1e-03 1.00e+00 1.664775117e+02 1.665566504e+02 1.9e-08 0.50 40 3.2e-05 2.4e-02 1.9e-03 1.00e+00 1.664828746e+02 1.665540932e+02 1.7e-08 0.51 41 2.8e-05 2.2e-02 1.7e-03 1.00e+00 1.664876918e+02 1.665517834e+02 1.5e-08 0.53 42 2.6e-05 2.1e-02 1.6e-03 1.00e+00 1.664920191e+02 1.665496975e+02 1.3e-08 0.54 43 2.3e-05 1.9e-02 1.4e-03 1.00e+00 1.664959069e+02 1.665478142e+02 1.2e-08 0.55 44 2.1e-05 1.8e-02 1.3e-03 1.00e+00 1.664994001e+02 1.665461142e+02 1.1e-08 0.56 45 1.9e-05 1.7e-02 1.1e-03 1.00e+00 1.665025391e+02 1.665445798e+02 9.8e-09 0.57 46 1.7e-05 1.6e-02 1.0e-03 1.00e+00 1.665053603e+02 1.665431953e+02 8.9e-09 0.58 47 1.5e-05 1.5e-02 9.2e-04 1.00e+00 1.665078959e+02 1.665419462e+02 8.0e-09 0.59 48 1.4e-05 1.5e-02 8.2e-04 1.00e+00 1.665101753e+02 1.665408196e+02 7.2e-09 0.61 49 1.2e-05 1.4e-02 7.4e-04 1.00e+00 1.665122245e+02 1.665398036e+02 6.5e-09 0.62 50 1.1e-05 1.3e-02 6.7e-04 1.00e+00 1.665140670e+02 1.665388876e+02 5.8e-09 0.64 51 9.9e-06 1.3e-02 6.0e-04 1.00e+00 1.665157237e+02 1.665380619e+02 5.2e-09 0.65 52 8.9e-06 1.2e-02 5.4e-04 1.00e+00 1.665172136e+02 1.665373176e+02 4.7e-09 0.66 53 8.0e-06 1.2e-02 4.9e-04 1.00e+00 1.665185536e+02 1.665366470e+02 4.2e-09 0.67 54 7.2e-06 1.2e-02 4.4e-04 1.00e+00 1.665197588e+02 1.665360426e+02 3.8e-09 0.69 55 6.5e-06 1.1e-02 3.9e-04 1.00e+00 1.665208428e+02 1.665354981e+02 3.4e-09 0.70 56 5.9e-06 1.1e-02 3.6e-04 1.00e+00 1.665218178e+02 1.665350076e+02 3.1e-09 0.71 57 5.3e-06 1.1e-02 3.2e-04 1.00e+00 1.665226949e+02 1.665345656e+02 2.8e-09 0.73 58 4.8e-06 1.0e-02 2.9e-04 1.00e+00 1.665234838e+02 1.665341674e+02 2.5e-09 0.74 59 4.3e-06 1.0e-02 2.6e-04 1.00e+00 1.665241934e+02 1.665338087e+02 2.3e-09 0.75 60 3.8e-06 1.0e-02 2.3e-04 1.00e+00 1.665248317e+02 1.665334854e+02 2.0e-09 0.76 61 3.5e-06 9.8e-03 2.1e-04 1.00e+00 1.665254057e+02 1.665331941e+02 1.8e-09 0.78 62 3.1e-06 9.7e-03 1.9e-04 1.00e+00 1.665259221e+02 1.665329316e+02 1.6e-09 0.79 63 2.8e-06 9.5e-03 1.7e-04 1.00e+00 1.665263864e+02 1.665326951e+02 1.5e-09 0.80 64 2.5e-06 9.4e-03 1.5e-04 1.00e+00 1.665268042e+02 1.665324819e+02 1.3e-09 0.81 65 2.3e-06 9.2e-03 1.4e-04 1.00e+00 1.665271799e+02 1.665322899e+02 1.2e-09 0.83 66 2.0e-06 9.1e-03 1.2e-04 1.00e+00 1.665275179e+02 1.665321169e+02 1.1e-09 0.84 67 1.8e-06 9.0e-03 1.1e-04 1.00e+00 1.665278220e+02 1.665319611e+02 9.7e-10 0.85 68 1.7e-06 8.9e-03 1.0e-04 1.00e+00 1.665280955e+02 1.665318208e+02 8.7e-10 0.86 69 1.5e-06 8.9e-03 9.0e-05 1.00e+00 1.665283416e+02 1.665316944e+02 7.9e-10 0.88 70 1.3e-06 8.8e-03 8.1e-05 1.00e+00 1.665285630e+02 1.665315805e+02 7.1e-10 0.89 71 1.2e-06 8.7e-03 7.3e-05 1.00e+00 1.665287621e+02 1.665314779e+02 6.4e-10 0.90 72 1.1e-06 8.7e-03 6.6e-05 1.00e+00 1.665289413e+02 1.665313854e+02 5.7e-10 0.91 73 9.8e-07 8.6e-03 5.9e-05 1.00e+00 1.665291024e+02 1.665313022e+02 5.2e-10 0.92 74 8.8e-07 8.6e-03 5.3e-05 1.00e+00 1.665292473e+02 1.665312271e+02 4.6e-10 0.94 75 7.9e-07 8.5e-03 4.8e-05 1.00e+00 1.665293777e+02 1.665311595e+02 4.2e-10 0.95 76 7.1e-07 8.5e-03 4.3e-05 1.00e+00 1.665294950e+02 1.665310986e+02 3.8e-10 0.96 77 6.4e-07 8.4e-03 3.9e-05 1.00e+00 1.665296004e+02 1.665310437e+02 3.4e-10 0.97 78 5.8e-07 8.4e-03 3.5e-05 1.00e+00 1.665296952e+02 1.665309942e+02 3.0e-10 0.99 79 5.2e-07 8.3e-03 3.2e-05 1.00e+00 1.665297805e+02 1.665309496e+02 2.7e-10 1.00 80 4.7e-07 8.3e-03 2.8e-05 1.00e+00 1.665298572e+02 1.665309093e+02 2.5e-10 1.01 81 4.2e-07 8.3e-03 2.6e-05 1.00e+00 1.665299261e+02 1.665308731e+02 2.2e-10 1.02 82 3.8e-07 8.2e-03 2.3e-05 1.00e+00 1.665299881e+02 1.665308404e+02 2.0e-10 1.03 83 3.4e-07 8.2e-03 2.1e-05 1.00e+00 1.665300439e+02 1.665308109e+02 1.8e-10 1.04 84 3.1e-07 8.2e-03 1.9e-05 1.00e+00 1.665300941e+02 1.665307844e+02 1.6e-10 1.05 85 2.8e-07 8.2e-03 1.7e-05 1.00e+00 1.665301392e+02 1.665307605e+02 1.5e-10 1.06 86 2.5e-07 8.1e-03 1.5e-05 1.00e+00 1.665301797e+02 1.665307389e+02 1.3e-10 1.07 87 2.2e-07 8.1e-03 1.4e-05 1.00e+00 1.665302162e+02 1.665307195e+02 1.2e-10 1.08 88 2.0e-07 8.1e-03 1.2e-05 1.00e+00 1.665302490e+02 1.665307020e+02 1.1e-10 1.10 89 1.8e-07 8.1e-03 1.1e-05 1.00e+00 1.665302786e+02 1.665306863e+02 9.6e-11 1.11 90 1.6e-07 8.1e-03 9.9e-06 1.00e+00 1.665303052e+02 1.665306721e+02 8.6e-11 1.12 91 1.5e-07 8.0e-03 8.9e-06 1.00e+00 1.665303291e+02 1.665306593e+02 7.7e-11 1.13 92 1.3e-07 8.0e-03 8.0e-06 1.00e+00 1.665303506e+02 1.665306478e+02 7.0e-11 1.14 93 1.2e-07 8.0e-03 7.2e-06 1.00e+00 1.665303699e+02 1.665306374e+02 6.3e-11 1.15 94 1.1e-07 8.0e-03 6.5e-06 1.00e+00 1.665303873e+02 1.665306281e+02 5.6e-11 1.17 95 9.6e-08 8.0e-03 5.8e-06 1.00e+00 1.665304030e+02 1.665306197e+02 5.1e-11 1.18 96 8.7e-08 7.9e-03 5.3e-06 1.00e+00 1.665304171e+02 1.665306121e+02 4.6e-11 1.19 97 7.8e-08 7.9e-03 4.7e-06 1.00e+00 1.665304298e+02 1.665306053e+02 4.1e-11 1.20 98 7.0e-08 7.9e-03 4.3e-06 1.00e+00 1.665304412e+02 1.665305991e+02 3.7e-11 1.22 99 6.3e-08 7.9e-03 3.8e-06 9.99e-01 1.665304515e+02 1.665305936e+02 3.3e-11 1.23 100 5.7e-08 7.9e-03 3.4e-06 1.00e+00 1.665304607e+02 1.665305887e+02 3.0e-11 1.23 101 5.1e-08 7.8e-03 3.1e-06 1.00e+00 1.665304691e+02 1.665305842e+02 2.7e-11 1.24 102 4.6e-08 7.8e-03 2.8e-06 1.00e+00 1.665304766e+02 1.665305802e+02 2.4e-11 1.25 103 4.1e-08 7.8e-03 2.5e-06 9.99e-01 1.665304833e+02 1.665305766e+02 2.2e-11 1.26 104 3.7e-08 7.8e-03 2.3e-06 9.99e-01 1.665304894e+02 1.665305733e+02 2.0e-11 1.27 105 3.4e-08 7.8e-03 2.0e-06 9.99e-01 1.665304948e+02 1.665305704e+02 1.8e-11 1.28 106 3.0e-08 7.7e-03 1.8e-06 1.00e+00 1.665304997e+02 1.665305678e+02 1.6e-11 1.29 107 2.7e-08 7.7e-03 1.6e-06 1.00e+00 1.665305041e+02 1.665305655e+02 1.4e-11 1.30 108 2.4e-08 7.7e-03 1.5e-06 9.97e-01 1.665305081e+02 1.665305633e+02 1.3e-11 1.31 109 2.2e-08 6.9e-03 1.3e-06 1.00e+00 1.665305117e+02 1.665305614e+02 1.2e-11 1.33 110 2.0e-08 6.2e-03 1.2e-06 9.97e-01 1.665305149e+02 1.665305596e+02 1.0e-11 1.34 111 1.8e-08 5.6e-03 1.1e-06 9.97e-01 1.665305178e+02 1.665305581e+02 9.4e-12 1.35 112 1.6e-08 5.0e-03 9.7e-07 1.00e+00 1.665305205e+02 1.665305567e+02 8.5e-12 1.35 113 1.5e-08 4.5e-03 8.8e-07 9.96e-01 1.665305228e+02 1.665305554e+02 7.6e-12 1.37 114 1.3e-08 4.1e-03 7.9e-07 9.88e-01 1.665305249e+02 1.665305545e+02 6.9e-12 1.38 115 1.2e-08 3.7e-03 7.1e-07 9.88e-01 1.665305268e+02 1.665305535e+02 6.2e-12 1.39 116 1.1e-08 3.3e-03 6.4e-07 9.98e-01 1.665305285e+02 1.665305524e+02 5.6e-12 1.41 117 9.9e-09 3.0e-03 5.8e-07 9.78e-01 1.665305300e+02 1.665305517e+02 5.0e-12 1.42 118 8.9e-09 2.7e-03 5.2e-07 9.91e-01 1.665305314e+02 1.665305510e+02 4.5e-12 1.43 119 8.0e-09 2.4e-03 4.7e-07 9.99e-01 1.665305327e+02 1.665305503e+02 4.1e-12 1.44 120 7.2e-09 2.2e-03 4.2e-07 1.01e+00 1.665305338e+02 1.665305496e+02 3.7e-12 1.45 121 6.5e-09 2.0e-03 3.8e-07 9.92e-01 1.665305348e+02 1.665305491e+02 3.3e-12 1.46 122 5.9e-09 1.8e-03 3.4e-07 9.85e-01 1.665305358e+02 1.665305486e+02 3.0e-12 1.47 123 5.3e-09 1.6e-03 3.1e-07 9.93e-01 1.665305366e+02 1.665305481e+02 2.7e-12 1.48 124 4.8e-09 1.4e-03 2.8e-07 9.93e-01 1.665305373e+02 1.665305477e+02 2.4e-12 1.49 125 4.4e-09 1.3e-03 2.5e-07 9.82e-01 1.665305380e+02 1.665305473e+02 2.2e-12 1.50 126 3.9e-09 1.2e-03 2.2e-07 9.90e-01 1.665305386e+02 1.665305470e+02 2.0e-12 1.51 127 3.6e-09 1.0e-03 2.0e-07 1.00e+00 1.665305391e+02 1.665305467e+02 1.8e-12 1.52 128 3.4e-09 9.3e-04 1.8e-07 9.96e-01 1.665305396e+02 1.665305464e+02 1.6e-12 1.53 129 3.1e-09 8.4e-04 1.6e-07 1.01e+00 1.665305400e+02 1.665305462e+02 1.4e-12 1.54 130 3.3e-10 8.8e-05 1.7e-08 1.00e+00 1.665305435e+02 1.665305442e+02 1.5e-13 1.56 Optimizer terminated. Time: 1.56 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6653054354e+02 nrm: 2e+01 Viol. con: 5e-09 var: 0e+00 Dual. obj: 1.6653054419e+02 nrm: 1e+03 Viol. con: 0e+00 var: 6e-04 * End solution on dual form. * Transforming to primal solution. Solving took 1.59 seconds. Using solver 'mosek' Solving for 1768 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 482 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 873 Optimizer - Cones : 0 Optimizer - Scalar variables : 3462 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 : 1.49e+04 after factor : 1.57e+05 Factor - dense dim. : 0 flops : 3.26e+07 Factor - GP saved nzs : 3.37e+04 GP saved flops : 9.34e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.223814476e+05 2.000000000e+00 1.0e+00 0.04 1 1.7e+03 2.2e+03 8.9e+04 -9.71e-01 -1.216494472e+05 2.619367401e+00 7.3e-01 0.05 2 8.8e+02 1.1e+03 4.7e+04 -9.59e-01 -1.193668588e+05 4.615079961e+00 3.8e-01 0.06 3 2.9e+02 3.8e+02 1.5e+04 -9.22e-01 -1.103488376e+05 2.001954112e+01 1.3e-01 0.07 4 2.9e+02 3.7e+02 1.5e+04 -7.70e-01 -1.080517227e+05 2.030288678e+03 1.3e-01 0.08 5 1.2e+02 1.6e+02 6.4e+03 -7.60e-01 -8.691249091e+04 6.300042381e+03 5.3e-02 0.09 6 3.3e+01 4.4e+01 1.8e+03 -4.48e-01 -4.076173705e+04 1.195352215e+04 1.5e-02 0.10 7 2.0e+01 2.6e+01 1.1e+03 3.43e-01 -2.786822718e+04 7.429401555e+03 8.9e-03 0.11 8 1.0e+01 1.3e+01 5.5e+02 5.95e-01 -1.543124716e+04 4.210800516e+03 4.6e-03 0.13 9 3.8e+00 5.0e+00 2.0e+02 8.09e-01 -5.794203935e+03 1.901433143e+03 1.7e-03 0.14 10 2.0e+00 2.7e+00 1.1e+02 9.51e-01 -2.950006101e+03 1.198522177e+03 9.1e-04 0.15 11 8.4e-01 1.1e+00 4.6e+01 9.87e-01 -1.120062289e+03 6.297849203e+02 3.8e-04 0.16 12 8.2e-01 1.1e+00 4.4e+01 9.56e-01 -1.104063312e+03 6.055348872e+02 3.7e-04 0.17 13 5.2e-01 6.8e-01 2.8e+01 9.72e-01 -6.586925530e+02 4.339055833e+02 2.4e-04 0.18 14 3.3e-01 4.4e-01 1.8e+01 1.00e+00 -3.420367133e+02 3.489387007e+02 1.5e-04 0.20 15 1.1e-01 1.8e-01 6.4e+00 9.98e-01 -2.743178241e+01 2.173562659e+02 5.4e-05 0.21 16 8.4e-02 1.3e-01 4.7e+00 1.02e+00 2.608518550e+01 2.049294771e+02 4.0e-05 0.22 17 6.2e-02 9.8e-02 3.5e+00 1.02e+00 6.444236661e+01 1.967541398e+02 2.9e-05 0.23 18 2.0e-02 8.0e-02 1.1e+00 1.02e+00 1.340709579e+02 1.769759093e+02 9.6e-06 0.25 19 6.6e-03 1.7e-01 3.8e-01 1.01e+00 1.562513680e+02 1.703536155e+02 3.2e-06 0.26 20 2.7e-03 2.1e-01 1.6e-01 1.01e+00 1.620619472e+02 1.679613977e+02 1.3e-06 0.27 21 1.2e-03 1.2e-01 7.1e-02 1.01e+00 1.645571871e+02 1.672153103e+02 6.1e-07 0.28 22 3.4e-04 1.2e-01 2.1e-02 1.01e+00 1.659288219e+02 1.667080189e+02 1.8e-07 0.30 23 1.5e-04 1.0e-01 9.4e-03 1.01e+00 1.662327709e+02 1.665829207e+02 8.3e-08 0.31 24 7.1e-05 8.5e-02 4.4e-03 1.01e+00 1.663630105e+02 1.665261053e+02 3.9e-08 0.32 25 6.4e-05 7.7e-02 4.0e-03 1.01e+00 1.663764090e+02 1.665232521e+02 3.5e-08 0.34 26 5.8e-05 7.0e-02 3.6e-03 1.01e+00 1.663863543e+02 1.665184592e+02 3.1e-08 0.35 27 5.2e-05 6.4e-02 3.2e-03 1.01e+00 1.663954693e+02 1.665143316e+02 2.8e-08 0.36 28 4.7e-05 5.8e-02 2.9e-03 1.01e+00 1.664036141e+02 1.665105620e+02 2.6e-08 0.37 29 4.2e-05 5.3e-02 2.6e-03 1.01e+00 1.664109292e+02 1.665071595e+02 2.3e-08 0.38 30 3.8e-05 4.9e-02 2.3e-03 1.01e+00 1.664174953e+02 1.665040837e+02 2.1e-08 0.40 31 3.4e-05 4.5e-02 2.1e-03 1.01e+00 1.664233907e+02 1.665013049e+02 1.9e-08 0.41 32 3.1e-05 4.1e-02 1.9e-03 1.01e+00 1.664286846e+02 1.664987947e+02 1.7e-08 0.42 33 2.8e-05 3.8e-02 1.7e-03 1.00e+00 1.664334388e+02 1.664965276e+02 1.5e-08 0.44 34 2.5e-05 3.5e-02 1.5e-03 1.00e+00 1.664377089e+02 1.664944805e+02 1.4e-08 0.45 35 2.2e-05 3.2e-02 1.4e-03 1.00e+00 1.664415447e+02 1.664926323e+02 1.2e-08 0.46 36 2.0e-05 3.0e-02 1.2e-03 1.00e+00 1.664449907e+02 1.664909640e+02 1.1e-08 0.48 37 1.8e-05 2.8e-02 1.1e-03 1.00e+00 1.664480869e+02 1.664894583e+02 9.9e-09 0.49 38 1.6e-05 2.6e-02 1.0e-03 1.00e+00 1.664508690e+02 1.664880997e+02 8.9e-09 0.50 39 1.5e-05 2.4e-02 9.1e-04 1.00e+00 1.664533693e+02 1.664868740e+02 8.0e-09 0.51 40 1.3e-05 2.2e-02 8.2e-04 1.00e+00 1.664556164e+02 1.664857684e+02 7.2e-09 0.53 41 1.2e-05 2.1e-02 7.4e-04 1.00e+00 1.664576363e+02 1.664847712e+02 6.5e-09 0.54 42 1.1e-05 2.0e-02 6.6e-04 1.00e+00 1.664594521e+02 1.664838720e+02 5.8e-09 0.55 43 9.6e-06 1.8e-02 6.0e-04 1.00e+00 1.664610846e+02 1.664830613e+02 5.3e-09 0.57 44 8.7e-06 1.7e-02 5.4e-04 1.00e+00 1.664625525e+02 1.664823305e+02 4.7e-09 0.58 45 7.8e-06 1.6e-02 4.8e-04 1.00e+00 1.664638724e+02 1.664816719e+02 4.3e-09 0.59 46 7.0e-06 1.6e-02 4.3e-04 1.00e+00 1.664650594e+02 1.664810783e+02 3.8e-09 0.61 47 6.3e-06 1.5e-02 3.9e-04 1.00e+00 1.664661269e+02 1.664805435e+02 3.5e-09 0.62 48 5.7e-06 1.4e-02 3.5e-04 1.00e+00 1.664670870e+02 1.664800616e+02 3.1e-09 0.63 49 5.1e-06 1.3e-02 3.2e-04 1.00e+00 1.664679506e+02 1.664796275e+02 2.8e-09 0.64 50 4.6e-06 1.3e-02 2.9e-04 1.00e+00 1.664687275e+02 1.664792364e+02 2.5e-09 0.65 51 4.1e-06 1.2e-02 2.6e-04 1.00e+00 1.664694263e+02 1.664788842e+02 2.3e-09 0.67 52 3.7e-06 1.2e-02 2.3e-04 1.00e+00 1.664700549e+02 1.664785668e+02 2.0e-09 0.68 53 3.4e-06 1.2e-02 2.1e-04 1.00e+00 1.664706203e+02 1.664782810e+02 1.8e-09 0.69 54 3.0e-06 1.1e-02 1.9e-04 1.00e+00 1.664711290e+02 1.664780235e+02 1.7e-09 0.71 55 2.7e-06 1.1e-02 1.7e-04 1.00e+00 1.664715866e+02 1.664777916e+02 1.5e-09 0.72 56 2.4e-06 1.1e-02 1.5e-04 1.00e+00 1.664719983e+02 1.664775828e+02 1.3e-09 0.73 57 2.2e-06 1.0e-02 1.4e-04 1.00e+00 1.664723688e+02 1.664773948e+02 1.2e-09 0.74 58 2.0e-06 1.0e-02 1.2e-04 1.00e+00 1.664727021e+02 1.664772255e+02 1.1e-09 0.75 59 1.8e-06 9.8e-03 1.1e-04 1.00e+00 1.664730022e+02 1.664770732e+02 9.8e-10 0.77 60 1.6e-06 9.6e-03 9.9e-05 1.00e+00 1.664732721e+02 1.664769360e+02 8.8e-10 0.77 61 1.4e-06 9.4e-03 9.0e-05 1.00e+00 1.664735151e+02 1.664768126e+02 7.9e-10 0.78 62 1.3e-06 9.3e-03 8.1e-05 1.00e+00 1.664737337e+02 1.664767015e+02 7.1e-10 0.80 63 1.2e-06 9.1e-03 7.3e-05 1.00e+00 1.664739305e+02 1.664766015e+02 6.4e-10 0.81 64 1.1e-06 9.0e-03 6.5e-05 1.00e+00 1.664741076e+02 1.664765115e+02 5.8e-10 0.82 65 9.5e-07 8.9e-03 5.9e-05 1.00e+00 1.664742669e+02 1.664764304e+02 5.2e-10 0.82 66 8.5e-07 8.8e-03 5.3e-05 1.00e+00 1.664744103e+02 1.664763575e+02 4.7e-10 0.84 67 7.7e-07 8.7e-03 4.8e-05 1.00e+00 1.664745393e+02 1.664762918e+02 4.2e-10 0.85 68 6.9e-07 8.6e-03 4.3e-05 1.00e+00 1.664746554e+02 1.664762326e+02 3.8e-10 0.86 69 6.2e-07 8.5e-03 3.9e-05 1.00e+00 1.664747598e+02 1.664761793e+02 3.4e-10 0.88 70 5.6e-07 8.4e-03 3.5e-05 1.00e+00 1.664748538e+02 1.664761313e+02 3.1e-10 0.89 71 5.0e-07 8.4e-03 3.1e-05 1.00e+00 1.664749383e+02 1.664760881e+02 2.8e-10 0.90 72 4.5e-07 8.3e-03 2.8e-05 1.00e+00 1.664750143e+02 1.664760492e+02 2.5e-10 0.92 73 4.1e-07 8.3e-03 2.5e-05 1.00e+00 1.664750827e+02 1.664760141e+02 2.2e-10 0.93 74 3.7e-07 8.2e-03 2.3e-05 1.00e+00 1.664751442e+02 1.664759824e+02 2.0e-10 0.94 75 3.3e-07 8.2e-03 2.0e-05 1.00e+00 1.664751995e+02 1.664759540e+02 1.8e-10 0.96 76 3.0e-07 8.1e-03 1.8e-05 1.00e+00 1.664752493e+02 1.664759283e+02 1.6e-10 0.97 77 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752941e+02 1.664759052e+02 1.5e-10 0.98 78 2.4e-07 8.1e-03 1.5e-05 1.00e+00 1.664753344e+02 1.664758844e+02 1.3e-10 0.99 79 2.2e-07 8.0e-03 1.3e-05 1.00e+00 1.664753707e+02 1.664758656e+02 1.2e-10 1.01 80 2.0e-07 8.0e-03 1.2e-05 1.00e+00 1.664754033e+02 1.664758488e+02 1.1e-10 1.02 81 1.8e-07 8.0e-03 1.1e-05 1.00e+00 1.664754326e+02 1.664758336e+02 9.6e-11 1.03 82 1.6e-07 7.9e-03 9.8e-06 1.00e+00 1.664754590e+02 1.664758199e+02 8.7e-11 1.04 83 1.4e-07 7.9e-03 8.8e-06 1.00e+00 1.664754828e+02 1.664758076e+02 7.8e-11 1.05 84 1.3e-07 7.9e-03 7.9e-06 1.00e+00 1.664755042e+02 1.664757965e+02 7.0e-11 1.07 85 1.2e-07 7.9e-03 7.1e-06 1.00e+00 1.664755234e+02 1.664757865e+02 6.3e-11 1.08 86 1.0e-07 7.8e-03 6.4e-06 1.00e+00 1.664755408e+02 1.664757775e+02 5.7e-11 1.09 87 9.3e-08 7.8e-03 5.8e-06 1.00e+00 1.664755563e+02 1.664757694e+02 5.1e-11 1.10 88 8.4e-08 7.8e-03 5.2e-06 9.99e-01 1.664755704e+02 1.664757622e+02 4.6e-11 1.12 89 7.6e-08 7.8e-03 4.7e-06 1.00e+00 1.664755830e+02 1.664757556e+02 4.1e-11 1.13 90 6.8e-08 7.8e-03 4.2e-06 9.97e-01 1.664755943e+02 1.664757497e+02 3.7e-11 1.14 91 6.1e-08 7.8e-03 3.8e-06 1.00e+00 1.664756046e+02 1.664757444e+02 3.4e-11 1.15 92 5.5e-08 7.7e-03 3.4e-06 9.99e-01 1.664756138e+02 1.664757396e+02 3.0e-11 1.16 93 5.0e-08 7.7e-03 3.1e-06 1.00e+00 1.664756220e+02 1.664757353e+02 2.7e-11 1.18 94 4.5e-08 7.7e-03 2.8e-06 1.00e+00 1.664756295e+02 1.664757314e+02 2.4e-11 1.19 95 4.0e-08 7.7e-03 2.5e-06 1.00e+00 1.664756362e+02 1.664757279e+02 2.2e-11 1.20 96 3.6e-08 7.7e-03 2.2e-06 1.00e+00 1.664756422e+02 1.664757248e+02 2.0e-11 1.22 97 3.3e-08 7.7e-03 2.0e-06 1.00e+00 1.664756477e+02 1.664757220e+02 1.8e-11 1.23 98 2.9e-08 7.7e-03 1.8e-06 1.00e+00 1.664756526e+02 1.664757194e+02 1.6e-11 1.24 99 2.6e-08 7.7e-03 1.6e-06 1.00e+00 1.664756570e+02 1.664757171e+02 1.4e-11 1.26 100 2.4e-08 7.6e-03 1.5e-06 1.00e+00 1.664756609e+02 1.664757151e+02 1.3e-11 1.26 101 2.1e-08 7.6e-03 1.3e-06 1.00e+00 1.664756645e+02 1.664757132e+02 1.2e-11 1.27 102 1.9e-08 7.6e-03 1.2e-06 1.00e+00 1.664756677e+02 1.664757116e+02 1.1e-11 1.28 103 1.7e-08 7.6e-03 1.1e-06 9.94e-01 1.664756706e+02 1.664757101e+02 9.5e-12 1.29 104 1.6e-08 6.8e-03 9.7e-07 1.00e+00 1.664756732e+02 1.664757087e+02 8.5e-12 1.31 105 1.4e-08 6.2e-03 8.7e-07 1.01e+00 1.664756756e+02 1.664757075e+02 7.7e-12 1.32 106 1.3e-08 5.5e-03 7.8e-07 1.00e+00 1.664756777e+02 1.664757064e+02 6.9e-12 1.33 107 1.1e-08 5.0e-03 7.0e-07 1.00e+00 1.664756795e+02 1.664757054e+02 6.2e-12 1.35 108 1.0e-08 4.5e-03 6.3e-07 9.95e-01 1.664756812e+02 1.664757045e+02 5.6e-12 1.36 109 9.2e-09 4.0e-03 5.7e-07 1.01e+00 1.664756828e+02 1.664757037e+02 5.1e-12 1.37 110 3.5e-09 4.1e-04 5.8e-08 9.98e-01 1.664756951e+02 1.664756973e+02 5.3e-13 1.38 Optimizer terminated. Time: 1.39 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6647569515e+02 nrm: 2e+01 Viol. con: 1e-07 var: 0e+00 Dual. obj: 1.6647569729e+02 nrm: 1e+03 Viol. con: 0e+00 var: 3e-03 * End solution on dual form. * Transforming to primal solution. Solving took 1.42 seconds. Using solver 'mosek' Solving for 1768 variables. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (313) 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 482 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 873 Optimizer - Cones : 0 Optimizer - Scalar variables : 3462 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 : 1.49e+04 after factor : 1.57e+05 Factor - dense dim. : 0 flops : 3.26e+07 Factor - GP saved nzs : 3.37e+04 GP saved flops : 9.34e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.223801642e+05 2.000000000e+00 1.0e+00 0.04 1 1.7e+03 2.2e+03 8.9e+04 -9.71e-01 -1.216483304e+05 2.618565322e+00 7.3e-01 0.05 2 8.8e+02 1.1e+03 4.7e+04 -9.59e-01 -1.193676752e+05 4.610922688e+00 3.8e-01 0.06 3 2.9e+02 3.8e+02 1.5e+04 -9.22e-01 -1.103165945e+05 2.004323456e+01 1.3e-01 0.07 4 2.9e+02 3.7e+02 1.5e+04 -7.70e-01 -1.080284782e+05 2.025515228e+03 1.3e-01 0.08 5 1.2e+02 1.5e+02 6.3e+03 -7.60e-01 -8.689193228e+04 6.277145300e+03 5.2e-02 0.10 6 2.9e+01 3.7e+01 1.5e+03 -4.47e-01 -3.555978381e+04 1.254685311e+04 1.3e-02 0.11 7 1.8e+01 2.4e+01 9.7e+02 4.41e-01 -2.517278879e+04 7.242664304e+03 8.0e-03 0.12 8 1.0e+01 1.3e+01 5.5e+02 6.44e-01 -1.529020587e+04 4.344385208e+03 4.5e-03 0.13 9 3.9e+00 5.1e+00 2.1e+02 8.11e-01 -6.021009645e+03 1.946579789e+03 1.8e-03 0.14 10 2.0e+00 2.6e+00 1.1e+02 9.48e-01 -2.964906920e+03 1.186949867e+03 9.1e-04 0.16 11 8.4e-01 1.1e+00 4.6e+01 9.87e-01 -1.106052242e+03 6.319965104e+02 3.8e-04 0.17 12 8.1e-01 1.1e+00 4.4e+01 9.51e-01 -1.097849102e+03 6.089590342e+02 3.7e-04 0.18 13 5.2e-01 6.8e-01 2.8e+01 9.70e-01 -6.574957640e+02 4.370627639e+02 2.4e-04 0.20 14 3.2e-01 4.3e-01 1.8e+01 1.00e+00 -3.348534794e+02 3.460902080e+02 1.5e-04 0.21 15 1.1e-01 1.7e-01 6.2e+00 9.99e-01 -2.180331029e+01 2.157527514e+02 5.2e-05 0.22 16 8.5e-02 1.3e-01 4.7e+00 1.02e+00 2.564071194e+01 2.060915714e+02 4.0e-05 0.23 17 4.8e-02 9.3e-02 2.7e+00 1.02e+00 8.830023858e+01 1.901940651e+02 2.3e-05 0.25 18 1.2e-02 1.7e-01 7.0e-01 1.02e+00 1.470192463e+02 1.734322407e+02 5.9e-06 0.25 19 3.5e-03 2.1e-01 2.1e-01 1.01e+00 1.607382761e+02 1.684750030e+02 1.7e-06 0.27 20 2.1e-03 2.2e-01 1.2e-01 1.00e+00 1.630800225e+02 1.676831725e+02 1.0e-06 0.28 21 6.2e-04 1.5e-01 3.7e-02 1.01e+00 1.654579564e+02 1.668570066e+02 3.2e-07 0.29 22 4.6e-04 1.2e-01 2.8e-02 9.95e-01 1.657162583e+02 1.667485014e+02 2.4e-07 0.31 23 2.4e-04 8.3e-02 1.5e-02 9.83e-01 1.660592328e+02 1.666093529e+02 1.3e-07 0.32 24 2.0e-04 7.0e-02 1.2e-02 1.00e+00 1.661253009e+02 1.665865316e+02 1.1e-07 0.33 25 1.8e-04 6.4e-02 1.1e-02 1.01e+00 1.661586806e+02 1.665735495e+02 9.6e-08 0.34 26 1.6e-04 5.9e-02 1.0e-02 1.01e+00 1.661875497e+02 1.665608333e+02 8.7e-08 0.35 27 1.5e-04 5.3e-02 9.0e-03 1.01e+00 1.662136630e+02 1.665495611e+02 7.8e-08 0.36 28 1.3e-04 4.9e-02 8.1e-03 1.00e+00 1.662370559e+02 1.665393192e+02 7.0e-08 0.37 29 1.2e-04 4.5e-02 7.3e-03 1.00e+00 1.662580556e+02 1.665300572e+02 6.3e-08 0.38 30 1.1e-04 4.1e-02 6.6e-03 1.00e+00 1.662769026e+02 1.665216766e+02 5.7e-08 0.39 31 9.6e-05 3.8e-02 5.9e-03 1.00e+00 1.662938192e+02 1.665140945e+02 5.1e-08 0.40 32 8.7e-05 3.5e-02 5.3e-03 1.00e+00 1.663090035e+02 1.665072347e+02 4.6e-08 0.41 33 7.8e-05 3.2e-02 4.8e-03 1.00e+00 1.663226331e+02 1.665010285e+02 4.2e-08 0.43 34 7.0e-05 3.0e-02 4.3e-03 1.00e+00 1.663348676e+02 1.664954137e+02 3.7e-08 0.44 35 6.3e-05 2.7e-02 3.9e-03 1.00e+00 1.663458504e+02 1.664903343e+02 3.4e-08 0.45 36 5.7e-05 2.5e-02 3.5e-03 1.00e+00 1.663557101e+02 1.664857397e+02 3.0e-08 0.46 37 5.1e-05 2.4e-02 3.1e-03 1.00e+00 1.663645623e+02 1.664815845e+02 2.7e-08 0.47 38 4.6e-05 2.2e-02 2.8e-03 1.00e+00 1.663725107e+02 1.664778272e+02 2.5e-08 0.48 39 4.1e-05 2.1e-02 2.6e-03 1.00e+00 1.663796481e+02 1.664744304e+02 2.2e-08 0.49 40 3.7e-05 1.9e-02 2.3e-03 1.00e+00 1.663860580e+02 1.664713600e+02 2.0e-08 0.51 41 3.4e-05 1.8e-02 2.1e-03 1.00e+00 1.663918150e+02 1.664685853e+02 1.8e-08 0.52 42 3.0e-05 1.7e-02 1.9e-03 1.00e+00 1.663969860e+02 1.664660781e+02 1.6e-08 0.53 43 2.7e-05 1.6e-02 1.7e-03 1.00e+00 1.664016309e+02 1.664638129e+02 1.5e-08 0.54 44 2.5e-05 1.5e-02 1.5e-03 1.00e+00 1.664058036e+02 1.664617668e+02 1.3e-08 0.56 45 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664095523e+02 1.664599187e+02 1.2e-08 0.57 46 2.0e-05 1.4e-02 1.2e-03 1.00e+00 1.664129203e+02 1.664582497e+02 1.1e-08 0.58 47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664159464e+02 1.664567427e+02 9.5e-09 0.60 48 1.6e-05 1.3e-02 9.9e-04 1.00e+00 1.664186655e+02 1.664553820e+02 8.6e-09 0.60 49 1.4e-05 1.2e-02 8.9e-04 1.00e+00 1.664211089e+02 1.664541537e+02 7.7e-09 0.61 50 1.3e-05 1.2e-02 8.0e-04 1.00e+00 1.664233046e+02 1.664530450e+02 6.9e-09 0.62 51 1.2e-05 1.1e-02 7.2e-04 1.00e+00 1.664252780e+02 1.664520443e+02 6.3e-09 0.64 52 1.1e-05 1.1e-02 6.5e-04 1.00e+00 1.664270516e+02 1.664511413e+02 5.6e-09 0.64 53 9.5e-06 1.1e-02 5.8e-04 1.00e+00 1.664286458e+02 1.664503266e+02 5.1e-09 0.65 54 8.5e-06 1.1e-02 5.3e-04 1.00e+00 1.664300788e+02 1.664495916e+02 4.6e-09 0.66 55 7.7e-06 1.0e-02 4.7e-04 1.00e+00 1.664313669e+02 1.664489285e+02 4.1e-09 0.67 56 6.9e-06 1.0e-02 4.3e-04 1.00e+00 1.664325250e+02 1.664483305e+02 3.7e-09 0.69 57 6.2e-06 9.9e-03 3.8e-04 1.00e+00 1.664335662e+02 1.664477912e+02 3.3e-09 0.70 58 5.6e-06 9.7e-03 3.4e-04 1.00e+00 1.664345023e+02 1.664473049e+02 3.0e-09 0.71 59 5.0e-06 9.5e-03 3.1e-04 1.00e+00 1.664353439e+02 1.664468664e+02 2.7e-09 0.72 60 4.5e-06 9.4e-03 2.8e-04 1.00e+00 1.664361007e+02 1.664464710e+02 2.4e-09 0.73 61 4.1e-06 9.2e-03 2.5e-04 1.00e+00 1.664367812e+02 1.664461145e+02 2.2e-09 0.74 62 3.7e-06 9.1e-03 2.3e-04 1.00e+00 1.664373931e+02 1.664457931e+02 2.0e-09 0.76 63 3.3e-06 9.0e-03 2.0e-04 1.00e+00 1.664379433e+02 1.664455033e+02 1.8e-09 0.77 64 3.0e-06 8.9e-03 1.8e-04 1.00e+00 1.664384380e+02 1.664452421e+02 1.6e-09 0.78 65 2.7e-06 8.8e-03 1.7e-04 1.00e+00 1.664388829e+02 1.664450067e+02 1.4e-09 0.79 66 2.4e-06 8.7e-03 1.5e-04 1.00e+00 1.664392831e+02 1.664447945e+02 1.3e-09 0.80 67 2.2e-06 8.6e-03 1.3e-04 1.00e+00 1.664396430e+02 1.664446034e+02 1.2e-09 0.80 68 2.0e-06 8.6e-03 1.2e-04 1.00e+00 1.664399668e+02 1.664444312e+02 1.0e-09 0.81 69 1.8e-06 8.5e-03 1.1e-04 1.00e+00 1.664402581e+02 1.664442761e+02 9.4e-10 0.83 70 1.6e-06 8.4e-03 9.7e-05 1.00e+00 1.664405202e+02 1.664441363e+02 8.5e-10 0.84 71 1.4e-06 8.4e-03 8.8e-05 1.00e+00 1.664407559e+02 1.664440105e+02 7.6e-10 0.85 72 1.3e-06 8.3e-03 7.9e-05 1.00e+00 1.664409680e+02 1.664438972e+02 6.9e-10 0.86 73 1.2e-06 8.3e-03 7.1e-05 1.00e+00 1.664411588e+02 1.664437951e+02 6.2e-10 0.87 74 1.0e-06 8.2e-03 6.4e-05 1.00e+00 1.664413305e+02 1.664437031e+02 5.6e-10 0.88 75 9.3e-07 8.2e-03 5.8e-05 1.00e+00 1.664414849e+02 1.664436203e+02 5.0e-10 0.89 76 8.4e-07 8.1e-03 5.2e-05 1.00e+00 1.664416238e+02 1.664435457e+02 4.5e-10 0.90 77 7.6e-07 8.1e-03 4.7e-05 1.00e+00 1.664417488e+02 1.664434785e+02 4.0e-10 0.90 78 6.8e-07 8.1e-03 4.2e-05 1.00e+00 1.664418612e+02 1.664434180e+02 3.6e-10 0.91 79 6.1e-07 8.0e-03 3.8e-05 1.00e+00 1.664419624e+02 1.664433635e+02 3.3e-10 0.93 80 5.5e-07 8.0e-03 3.4e-05 1.00e+00 1.664420534e+02 1.664433144e+02 3.0e-10 0.94 81 5.0e-07 8.0e-03 3.1e-05 1.00e+00 1.664421352e+02 1.664432702e+02 2.7e-10 0.95 82 4.5e-07 7.9e-03 2.8e-05 1.00e+00 1.664422089e+02 1.664432303e+02 2.4e-10 0.96 83 4.0e-07 7.9e-03 2.5e-05 1.00e+00 1.664422751e+02 1.664431944e+02 2.2e-10 0.97 84 3.6e-07 7.9e-03 2.2e-05 1.00e+00 1.664423347e+02 1.664431621e+02 1.9e-10 0.98 85 3.3e-07 7.9e-03 2.0e-05 1.00e+00 1.664423883e+02 1.664431330e+02 1.7e-10 0.99 86 2.9e-07 7.8e-03 1.8e-05 1.00e+00 1.664424366e+02 1.664431067e+02 1.6e-10 1.00 87 2.6e-07 7.8e-03 1.6e-05 1.00e+00 1.664424800e+02 1.664430831e+02 1.4e-10 1.01 88 2.4e-07 7.8e-03 1.5e-05 1.00e+00 1.664425190e+02 1.664430619e+02 1.3e-10 1.02 89 2.1e-07 7.8e-03 1.3e-05 1.00e+00 1.664425542e+02 1.664430428e+02 1.1e-10 1.03 90 1.9e-07 7.8e-03 1.2e-05 1.00e+00 1.664425858e+02 1.664430256e+02 1.0e-10 1.04 91 1.7e-07 7.8e-03 1.1e-05 1.00e+00 1.664426143e+02 1.664430101e+02 9.3e-11 1.05 92 1.6e-07 7.7e-03 9.6e-06 1.00e+00 1.664426399e+02 1.664429961e+02 8.3e-11 1.06 93 1.4e-07 7.7e-03 8.6e-06 1.00e+00 1.664426630e+02 1.664429836e+02 7.5e-11 1.07 94 1.3e-07 7.7e-03 7.8e-06 1.00e+00 1.664426838e+02 1.664429723e+02 6.8e-11 1.08 95 1.1e-07 7.7e-03 7.0e-06 1.00e+00 1.664427025e+02 1.664429622e+02 6.1e-11 1.09 96 1.0e-07 7.7e-03 6.3e-06 1.00e+00 1.664427193e+02 1.664429530e+02 5.5e-11 1.10 97 9.2e-08 7.7e-03 5.7e-06 1.00e+00 1.664427344e+02 1.664429448e+02 4.9e-11 1.11 98 8.3e-08 7.7e-03 5.1e-06 9.99e-01 1.664427480e+02 1.664429374e+02 4.4e-11 1.12 99 7.5e-08 7.6e-03 4.6e-06 1.00e+00 1.664427603e+02 1.664429307e+02 4.0e-11 1.13 100 6.7e-08 7.6e-03 4.1e-06 1.00e+00 1.664427713e+02 1.664429247e+02 3.6e-11 1.14 101 6.0e-08 7.6e-03 3.7e-06 1.00e+00 1.664427813e+02 1.664429193e+02 3.2e-11 1.15 102 5.4e-08 7.6e-03 3.3e-06 9.98e-01 1.664427902e+02 1.664429145e+02 2.9e-11 1.16 103 4.9e-08 7.6e-03 3.0e-06 1.00e+00 1.664427983e+02 1.664429101e+02 2.6e-11 1.17 104 4.4e-08 7.6e-03 2.7e-06 1.00e+00 1.664428055e+02 1.664429062e+02 2.4e-11 1.18 105 4.0e-08 7.6e-03 2.4e-06 1.00e+00 1.664428120e+02 1.664429026e+02 2.1e-11 1.19 106 3.6e-08 7.6e-03 2.2e-06 1.00e+00 1.664428179e+02 1.664428994e+02 1.9e-11 1.20 107 3.2e-08 7.6e-03 2.0e-06 9.97e-01 1.664428232e+02 1.664428966e+02 1.7e-11 1.21 108 2.9e-08 7.6e-03 1.8e-06 9.99e-01 1.664428279e+02 1.664428940e+02 1.5e-11 1.22 109 2.6e-08 7.5e-03 1.6e-06 9.96e-01 1.664428322e+02 1.664428917e+02 1.4e-11 1.23 110 2.3e-08 7.5e-03 1.4e-06 9.98e-01 1.664428360e+02 1.664428896e+02 1.3e-11 1.24 111 2.1e-08 6.8e-03 1.3e-06 1.00e+00 1.664428395e+02 1.664428877e+02 1.1e-11 1.24 112 1.9e-08 6.1e-03 1.2e-06 9.97e-01 1.664428426e+02 1.664428860e+02 1.0e-11 1.26 113 1.7e-08 5.5e-03 1.1e-06 1.00e+00 1.664428454e+02 1.664428845e+02 9.1e-12 1.27 114 1.6e-08 4.9e-03 9.5e-07 1.00e+00 1.664428480e+02 1.664428831e+02 8.2e-12 1.28 115 1.4e-08 4.4e-03 8.5e-07 1.01e+00 1.664428503e+02 1.664428818e+02 7.4e-12 1.29 116 1.3e-08 4.0e-03 7.7e-07 1.00e+00 1.664428524e+02 1.664428807e+02 6.7e-12 1.30 117 1.2e-08 4.0e-03 6.9e-07 9.96e-01 1.664428541e+02 1.664428800e+02 6.0e-12 1.31 118 1.0e-08 3.6e-03 6.2e-07 9.92e-01 1.664428558e+02 1.664428791e+02 5.4e-12 1.32 119 9.2e-09 3.2e-03 5.6e-07 1.02e+00 1.664428574e+02 1.664428781e+02 4.9e-12 1.33 120 8.3e-09 2.9e-03 5.0e-07 9.88e-01 1.664428587e+02 1.664428774e+02 4.4e-12 1.34 121 7.5e-09 2.6e-03 4.5e-07 1.02e+00 1.664428601e+02 1.664428766e+02 4.0e-12 1.35 122 6.8e-09 2.3e-03 4.1e-07 9.75e-01 1.664428611e+02 1.664428760e+02 3.6e-12 1.36 123 6.1e-09 2.1e-03 3.7e-07 1.02e+00 1.664428621e+02 1.664428755e+02 3.3e-12 1.37 124 5.5e-09 1.9e-03 3.3e-07 9.96e-01 1.664428630e+02 1.664428750e+02 3.0e-12 1.39 125 5.0e-09 1.7e-03 3.0e-07 1.00e+00 1.664428638e+02 1.664428746e+02 2.7e-12 1.40 126 4.5e-09 1.5e-03 2.7e-07 9.84e-01 1.664428645e+02 1.664428742e+02 2.4e-12 1.41 127 4.6e-08 1.5e-03 2.6e-07 9.86e-01 1.664428643e+02 1.664428750e+02 2.3e-12 1.43 128 3.6e-08 1.4e-03 2.4e-07 1.06e+00 1.664428651e+02 1.664428743e+02 2.1e-12 1.44 129 3.2e-08 1.2e-03 2.1e-07 9.94e-01 1.664428657e+02 1.664428740e+02 1.9e-12 1.45 130 2.9e-08 1.1e-03 1.9e-07 1.03e+00 1.664428663e+02 1.664428736e+02 1.8e-12 1.45 131 2.6e-08 9.9e-04 1.7e-07 9.43e-01 1.664428667e+02 1.664428733e+02 1.6e-12 1.47 132 2.3e-08 8.9e-04 1.5e-07 1.01e+00 1.664428671e+02 1.664428731e+02 1.4e-12 1.48 133 2.1e-08 8.0e-04 1.4e-07 1.02e+00 1.664428675e+02 1.664428728e+02 1.3e-12 1.49 134 1.9e-08 7.2e-04 1.3e-07 1.01e+00 1.664428678e+02 1.664428726e+02 1.2e-12 1.50 135 1.7e-08 6.5e-04 1.1e-07 9.86e-01 1.664428681e+02 1.664428724e+02 1.1e-12 1.52 136 1.5e-08 5.8e-04 1.0e-07 9.94e-01 1.664428684e+02 1.664428722e+02 9.6e-13 1.53 Optimizer terminated. Time: 1.53 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6644286838e+02 nrm: 2e+01 Viol. con: 4e-07 var: 0e+00 Dual. obj: 1.6644287224e+02 nrm: 1e+03 Viol. con: 0e+00 var: 4e-03 * End solution on dual form. * Transforming to primal solution. Solving took 1.56 seconds. Using solver 'mosek' Solving for 1768 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 482 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 873 Optimizer - Cones : 0 Optimizer - Scalar variables : 3462 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 : 1.49e+04 after factor : 1.57e+05 Factor - dense dim. : 0 flops : 3.26e+07 Factor - GP saved nzs : 3.37e+04 GP saved flops : 9.34e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.223796803e+05 2.000000000e+00 1.0e+00 0.05 1 1.7e+03 2.2e+03 8.9e+04 -9.71e-01 -1.216476084e+05 2.618554922e+00 7.3e-01 0.06 2 8.8e+02 1.1e+03 4.7e+04 -9.59e-01 -1.193666125e+05 4.610537506e+00 3.8e-01 0.08 3 2.9e+02 3.7e+02 1.5e+04 -9.22e-01 -1.102966097e+05 2.005786766e+01 1.3e-01 0.09 4 2.9e+02 3.7e+02 1.5e+04 -7.69e-01 -1.080118792e+05 2.024242288e+03 1.3e-01 0.10 5 1.2e+02 1.5e+02 6.3e+03 -7.60e-01 -8.686643901e+04 6.264842071e+03 5.2e-02 0.11 6 2.7e+01 3.5e+01 1.5e+03 -4.47e-01 -3.361423875e+04 1.275613178e+04 1.2e-02 0.13 7 1.7e+01 2.2e+01 9.2e+02 4.78e-01 -2.409624449e+04 7.121560004e+03 7.6e-03 0.14 8 1.0e+01 1.3e+01 5.3e+02 6.63e-01 -1.491091001e+04 4.313499207e+03 4.4e-03 0.15 9 3.8e+00 5.0e+00 2.1e+02 8.17e-01 -5.882084267e+03 1.917880415e+03 1.7e-03 0.16 10 2.0e+00 2.6e+00 1.1e+02 9.49e-01 -2.856912142e+03 1.168394898e+03 8.8e-04 0.17 11 8.4e-01 1.1e+00 4.6e+01 9.87e-01 -1.134284740e+03 6.217436659e+02 3.8e-04 0.18 12 8.2e-01 1.1e+00 4.5e+01 9.52e-01 -1.122688405e+03 5.985078074e+02 3.7e-04 0.19 13 5.2e-01 6.8e-01 2.8e+01 9.70e-01 -6.636991795e+02 4.331771302e+02 2.4e-04 0.20 14 3.0e-01 4.1e-01 1.7e+01 1.00e+00 -3.097111699e+02 3.352546183e+02 1.4e-04 0.22 15 1.1e-01 1.7e-01 5.9e+00 1.00e+00 -1.482958391e+01 2.136502396e+02 5.0e-05 0.23 16 8.4e-02 1.3e-01 4.7e+00 1.02e+00 2.760730165e+01 2.071351104e+02 4.0e-05 0.24 17 4.8e-02 9.4e-02 2.7e+00 1.02e+00 8.723176146e+01 1.898083063e+02 2.3e-05 0.26 18 1.6e-02 9.0e-02 8.7e-01 1.02e+00 1.418963690e+02 1.747571509e+02 7.4e-06 0.27 19 7.2e-03 7.0e-02 4.1e-01 1.01e+00 1.546961115e+02 1.700499165e+02 3.5e-06 0.28 20 1.7e-03 1.6e-01 1.0e-01 1.01e+00 1.636916571e+02 1.675254609e+02 8.6e-07 0.29 21 1.0e-03 1.1e-01 6.3e-02 9.76e-01 1.647504813e+02 1.670947428e+02 5.3e-07 0.30 22 3.5e-04 1.2e-01 2.2e-02 9.86e-01 1.658617377e+02 1.666773466e+02 1.9e-07 0.32 23 1.6e-04 9.6e-02 1.0e-02 1.00e+00 1.661549018e+02 1.665439119e+02 9.0e-08 0.33 24 6.2e-05 9.2e-02 4.0e-03 1.01e+00 1.663208740e+02 1.664687668e+02 3.5e-08 0.34 25 3.0e-05 7.9e-02 1.9e-03 1.01e+00 1.663730748e+02 1.664449304e+02 1.7e-08 0.35 26 2.7e-05 7.3e-02 1.7e-03 1.01e+00 1.663788267e+02 1.664435430e+02 1.5e-08 0.37 27 2.4e-05 6.6e-02 1.6e-03 1.01e+00 1.663831112e+02 1.664413337e+02 1.4e-08 0.38 28 2.2e-05 6.0e-02 1.4e-03 1.01e+00 1.663870609e+02 1.664394512e+02 1.2e-08 0.39 29 2.0e-05 5.5e-02 1.3e-03 1.01e+00 1.663905952e+02 1.664377370e+02 1.1e-08 0.40 30 1.8e-05 5.0e-02 1.1e-03 1.00e+00 1.663937727e+02 1.664361929e+02 1.0e-08 0.41 31 1.6e-05 4.6e-02 1.0e-03 1.00e+00 1.663966270e+02 1.664347990e+02 9.0e-09 0.42 32 1.4e-05 4.2e-02 9.2e-04 1.00e+00 1.663991915e+02 1.664335414e+02 8.1e-09 0.44 33 1.3e-05 3.9e-02 8.3e-04 1.00e+00 1.664014960e+02 1.664324068e+02 7.3e-09 0.45 34 1.2e-05 3.6e-02 7.5e-04 1.00e+00 1.664035668e+02 1.664313834e+02 6.6e-09 0.46 35 1.0e-05 3.3e-02 6.7e-04 1.00e+00 1.664054279e+02 1.664304602e+02 5.9e-09 0.47 36 9.4e-06 3.1e-02 6.1e-04 1.00e+00 1.664071006e+02 1.664296277e+02 5.3e-09 0.48 37 8.5e-06 2.8e-02 5.5e-04 1.00e+00 1.664086041e+02 1.664288769e+02 4.8e-09 0.49 38 7.6e-06 2.6e-02 4.9e-04 1.00e+00 1.664099557e+02 1.664281999e+02 4.3e-09 0.51 39 6.9e-06 2.4e-02 4.4e-04 1.00e+00 1.664111708e+02 1.664275896e+02 3.9e-09 0.52 40 6.2e-06 2.3e-02 4.0e-04 1.00e+00 1.664122633e+02 1.664270395e+02 3.5e-09 0.53 41 5.6e-06 2.1e-02 3.6e-04 1.00e+00 1.664132456e+02 1.664265435e+02 3.1e-09 0.54 42 5.0e-06 2.0e-02 3.2e-04 1.00e+00 1.664141289e+02 1.664260966e+02 2.8e-09 0.56 43 4.5e-06 1.9e-02 2.9e-04 1.00e+00 1.664149231e+02 1.664256937e+02 2.5e-09 0.57 44 4.1e-06 1.8e-02 2.6e-04 1.00e+00 1.664156374e+02 1.664253307e+02 2.3e-09 0.58 45 3.7e-06 1.7e-02 2.4e-04 1.00e+00 1.664162797e+02 1.664250035e+02 2.1e-09 0.59 46 3.3e-06 1.6e-02 2.1e-04 1.00e+00 1.664168573e+02 1.664247086e+02 1.9e-09 0.60 47 3.0e-06 1.5e-02 1.9e-04 1.00e+00 1.664173768e+02 1.664244429e+02 1.7e-09 0.61 48 2.7e-06 1.4e-02 1.7e-04 1.00e+00 1.664178440e+02 1.664242034e+02 1.5e-09 0.63 49 2.4e-06 1.4e-02 1.5e-04 1.00e+00 1.664182643e+02 1.664239877e+02 1.4e-09 0.64 50 2.2e-06 1.3e-02 1.4e-04 1.00e+00 1.664186423e+02 1.664237934e+02 1.2e-09 0.65 51 1.9e-06 1.3e-02 1.2e-04 1.00e+00 1.664189825e+02 1.664236185e+02 1.1e-09 0.67 52 1.7e-06 1.2e-02 1.1e-04 1.00e+00 1.664192885e+02 1.664234609e+02 9.8e-10 0.68 53 1.6e-06 1.2e-02 1.0e-04 1.00e+00 1.664195638e+02 1.664233190e+02 8.9e-10 0.69 54 1.4e-06 1.1e-02 9.1e-05 1.00e+00 1.664198115e+02 1.664231912e+02 8.0e-10 0.70 55 1.3e-06 1.1e-02 8.2e-05 1.00e+00 1.664200344e+02 1.664230761e+02 7.2e-10 0.71 56 1.1e-06 1.1e-02 7.4e-05 1.00e+00 1.664202349e+02 1.664229724e+02 6.5e-10 0.73 57 1.0e-06 1.0e-02 6.6e-05 1.00e+00 1.664204153e+02 1.664228791e+02 5.8e-10 0.74 58 9.3e-07 1.0e-02 6.0e-05 1.00e+00 1.664205776e+02 1.664227951e+02 5.2e-10 0.75 59 8.4e-07 9.9e-03 5.4e-05 1.00e+00 1.664207236e+02 1.664227194e+02 4.7e-10 0.77 60 7.5e-07 9.7e-03 4.8e-05 1.00e+00 1.664208550e+02 1.664226512e+02 4.2e-10 0.78 61 6.8e-07 9.5e-03 4.4e-05 1.00e+00 1.664209732e+02 1.664225898e+02 3.8e-10 0.79 62 6.1e-07 9.3e-03 3.9e-05 1.00e+00 1.664210796e+02 1.664225345e+02 3.4e-10 0.80 63 5.5e-07 9.2e-03 3.5e-05 1.00e+00 1.664211752e+02 1.664224847e+02 3.1e-10 0.82 64 4.9e-07 9.0e-03 3.2e-05 1.00e+00 1.664212613e+02 1.664224398e+02 2.8e-10 0.83 65 4.4e-07 8.9e-03 2.9e-05 1.00e+00 1.664213387e+02 1.664223994e+02 2.5e-10 0.83 66 4.0e-07 8.8e-03 2.6e-05 1.00e+00 1.664214083e+02 1.664223629e+02 2.3e-10 0.85 67 3.6e-07 8.7e-03 2.3e-05 1.00e+00 1.664214710e+02 1.664223301e+02 2.0e-10 0.86 68 3.2e-07 8.6e-03 2.1e-05 1.00e+00 1.664215273e+02 1.664223006e+02 1.8e-10 0.87 69 2.9e-07 8.5e-03 1.9e-05 1.00e+00 1.664215780e+02 1.664222740e+02 1.6e-10 0.88 70 2.6e-07 8.4e-03 1.7e-05 1.00e+00 1.664216237e+02 1.664222500e+02 1.5e-10 0.90 71 2.4e-07 8.4e-03 1.5e-05 1.00e+00 1.664216647e+02 1.664222284e+02 1.3e-10 0.91 72 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664217017e+02 1.664222090e+02 1.2e-10 0.92 73 1.9e-07 8.2e-03 1.2e-05 1.00e+00 1.664217349e+02 1.664221915e+02 1.1e-10 0.94 74 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217648e+02 1.664221758e+02 9.7e-11 0.95 75 1.5e-07 8.1e-03 1.0e-05 1.00e+00 1.664217917e+02 1.664221616e+02 8.7e-11 0.97 76 1.4e-07 8.1e-03 9.0e-06 9.99e-01 1.664218160e+02 1.664221488e+02 7.9e-11 0.98 77 1.3e-07 8.0e-03 8.1e-06 1.00e+00 1.664218378e+02 1.664221373e+02 7.1e-11 0.99 78 1.1e-07 8.0e-03 7.3e-06 1.00e+00 1.664218574e+02 1.664221270e+02 6.4e-11 1.01 79 1.0e-07 8.0e-03 6.5e-06 1.00e+00 1.664218750e+02 1.664221177e+02 5.7e-11 1.02 80 9.1e-08 7.9e-03 5.9e-06 1.00e+00 1.664218909e+02 1.664221093e+02 5.2e-11 1.03 81 8.2e-08 7.9e-03 5.3e-06 1.00e+00 1.664219052e+02 1.664221018e+02 4.6e-11 1.04 82 7.4e-08 7.9e-03 4.8e-06 9.99e-01 1.664219181e+02 1.664220950e+02 4.2e-11 1.05 83 6.7e-08 7.9e-03 4.3e-06 1.00e+00 1.664219297e+02 1.664220889e+02 3.8e-11 1.06 84 6.0e-08 7.8e-03 3.9e-06 9.99e-01 1.664219401e+02 1.664220834e+02 3.4e-11 1.07 85 5.4e-08 7.8e-03 3.5e-06 1.00e+00 1.664219495e+02 1.664220784e+02 3.0e-11 1.09 86 4.9e-08 7.8e-03 3.1e-06 9.99e-01 1.664219579e+02 1.664220740e+02 2.7e-11 1.10 87 4.4e-08 7.8e-03 2.8e-06 9.99e-01 1.664219655e+02 1.664220700e+02 2.5e-11 1.11 88 3.9e-08 7.7e-03 2.5e-06 1.00e+00 1.664219723e+02 1.664220664e+02 2.2e-11 1.12 89 3.5e-08 7.7e-03 2.3e-06 1.00e+00 1.664219785e+02 1.664220631e+02 2.0e-11 1.13 90 3.2e-08 7.7e-03 2.1e-06 1.00e+00 1.664219840e+02 1.664220602e+02 1.8e-11 1.14 91 2.9e-08 7.7e-03 1.8e-06 1.00e+00 1.664219890e+02 1.664220576e+02 1.6e-11 1.15 92 2.6e-08 7.7e-03 1.7e-06 1.00e+00 1.664219935e+02 1.664220552e+02 1.5e-11 1.17 93 2.3e-08 7.7e-03 1.5e-06 9.99e-01 1.664219975e+02 1.664220531e+02 1.3e-11 1.17 94 2.1e-08 7.6e-03 1.3e-06 9.98e-01 1.664220012e+02 1.664220511e+02 1.2e-11 1.18 95 1.9e-08 7.6e-03 1.2e-06 1.00e+00 1.664220044e+02 1.664220494e+02 1.1e-11 1.19 96 1.7e-08 7.6e-03 1.1e-06 1.00e+00 1.664220074e+02 1.664220479e+02 9.6e-12 1.21 97 1.5e-08 7.6e-03 9.8e-07 1.00e+00 1.664220100e+02 1.664220465e+02 8.6e-12 1.22 98 1.4e-08 7.6e-03 8.8e-07 1.00e+00 1.664220124e+02 1.664220452e+02 7.8e-12 1.23 99 1.3e-08 6.8e-03 8.0e-07 1.01e+00 1.664220146e+02 1.664220441e+02 7.0e-12 1.24 100 1.1e-08 6.1e-03 7.2e-07 1.00e+00 1.664220165e+02 1.664220430e+02 6.3e-12 1.26 101 1.0e-08 5.5e-03 6.4e-07 9.99e-01 1.664220183e+02 1.664220421e+02 5.7e-12 1.27 102 9.1e-09 5.0e-03 5.8e-07 9.95e-01 1.664220198e+02 1.664220413e+02 5.1e-12 1.28 103 8.2e-09 4.5e-03 5.2e-07 1.00e+00 1.664220212e+02 1.664220406e+02 4.6e-12 1.29 104 7.4e-09 4.0e-03 4.7e-07 1.00e+00 1.664220225e+02 1.664220399e+02 4.1e-12 1.30 105 1.5e-08 3.7e-03 4.2e-07 9.00e-01 1.664220234e+02 1.664220402e+02 3.7e-12 1.31 106 1.7e-08 3.4e-03 3.8e-07 9.02e-01 1.664220242e+02 1.664220413e+02 3.3e-12 1.33 107 1.3e-08 3.0e-03 3.4e-07 1.00e+00 1.664220252e+02 1.664220407e+02 3.0e-12 1.34 108 1.2e-08 2.7e-03 3.1e-07 1.02e+00 1.664220261e+02 1.664220399e+02 2.7e-12 1.35 109 1.1e-08 2.5e-03 2.8e-07 1.00e+00 1.664220269e+02 1.664220393e+02 2.5e-12 1.37 110 1.0e-08 2.2e-03 2.5e-07 1.01e+00 1.664220276e+02 1.664220388e+02 2.2e-12 1.38 111 1.1e-08 2.0e-03 2.2e-07 8.59e-01 1.664220282e+02 1.664220388e+02 2.0e-12 1.39 112 9.5e-09 1.8e-03 2.0e-07 1.00e+00 1.664220288e+02 1.664220383e+02 1.8e-12 1.41 113 8.6e-09 1.6e-03 1.8e-07 1.00e+00 1.664220293e+02 1.664220379e+02 1.6e-12 1.42 114 7.8e-09 1.5e-03 1.6e-07 1.00e+00 1.664220298e+02 1.664220375e+02 1.5e-12 1.43 115 7.0e-09 1.3e-03 1.5e-07 9.96e-01 1.664220302e+02 1.664220371e+02 1.3e-12 1.45 116 6.3e-09 1.2e-03 1.3e-07 1.00e+00 1.664220305e+02 1.664220368e+02 1.2e-12 1.46 117 5.7e-09 1.1e-03 1.2e-07 9.97e-01 1.664220309e+02 1.664220365e+02 1.1e-12 1.47 118 5.2e-09 9.7e-04 1.1e-07 1.00e+00 1.664220312e+02 1.664220363e+02 9.7e-13 1.48 Optimizer terminated. Time: 1.49 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6642203117e+02 nrm: 2e+01 Viol. con: 1e-07 var: 0e+00 Dual. obj: 1.6642203625e+02 nrm: 1e+03 Viol. con: 0e+00 var: 9e-03 * End solution on dual form. * Transforming to primal solution. Solving took 1.53 seconds. Using solver 'mosek' Solving for 1768 variables. MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (313) 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 482 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 873 Optimizer - Cones : 0 Optimizer - Scalar variables : 3462 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 : 1.49e+04 after factor : 1.57e+05 Factor - dense dim. : 0 flops : 3.26e+07 Factor - GP saved nzs : 3.37e+04 GP saved flops : 9.34e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.223788450e+05 2.000000000e+00 1.0e+00 0.05 1 1.7e+03 2.2e+03 8.9e+04 -9.71e-01 -1.216464201e+05 2.618823612e+00 7.3e-01 0.06 2 8.8e+02 1.1e+03 4.7e+04 -9.59e-01 -1.193651315e+05 4.610867248e+00 3.8e-01 0.08 3 2.9e+02 3.7e+02 1.5e+04 -9.22e-01 -1.102819975e+05 2.006632579e+01 1.3e-01 0.09 4 2.9e+02 3.7e+02 1.5e+04 -7.69e-01 -1.080008064e+05 2.022086612e+03 1.3e-01 0.10 5 1.2e+02 1.5e+02 6.3e+03 -7.59e-01 -8.679764001e+04 6.271578903e+03 5.2e-02 0.12 6 2.7e+01 3.5e+01 1.4e+03 -4.46e-01 -3.331156973e+04 1.276898522e+04 1.2e-02 0.13 7 1.7e+01 2.2e+01 9.1e+02 4.84e-01 -2.390955460e+04 7.088701501e+03 7.6e-03 0.14 8 9.9e+00 1.3e+01 5.3e+02 6.66e-01 -1.478698502e+04 4.288484843e+03 4.4e-03 0.16 9 3.8e+00 4.9e+00 2.0e+02 8.19e-01 -5.783602810e+03 1.894120710e+03 1.7e-03 0.17 10 1.9e+00 2.5e+00 1.0e+02 9.50e-01 -2.752723046e+03 1.147878748e+03 8.5e-04 0.18 11 8.6e-01 1.1e+00 4.7e+01 9.88e-01 -1.163553864e+03 6.311053338e+02 3.9e-04 0.20 12 8.3e-01 1.1e+00 4.5e+01 9.53e-01 -1.146181136e+03 6.056748478e+02 3.8e-04 0.21 13 5.2e-01 6.8e-01 2.8e+01 9.71e-01 -6.643878606e+02 4.338683157e+02 2.4e-04 0.22 14 3.0e-01 4.0e-01 1.6e+01 1.00e+00 -3.001695787e+02 3.312568167e+02 1.4e-04 0.24 15 1.0e-01 1.6e-01 5.8e+00 1.00e+00 -1.111857075e+01 2.124409044e+02 4.9e-05 0.25 16 8.3e-02 1.3e-01 4.6e+00 1.02e+00 2.954416115e+01 2.070652180e+02 3.9e-05 0.26 17 4.6e-02 9.2e-02 2.6e+00 1.02e+00 9.054315273e+01 1.887141196e+02 2.2e-05 0.28 18 1.2e-02 1.7e-01 6.8e-01 1.02e+00 1.474804520e+02 1.732840791e+02 5.8e-06 0.29 19 4.0e-03 1.9e-01 2.3e-01 1.01e+00 1.599979590e+02 1.685737685e+02 1.9e-06 0.30 20 1.6e-03 1.1e-01 9.4e-02 1.01e+00 1.638684180e+02 1.673751081e+02 8.0e-07 0.32 21 6.4e-04 9.4e-02 3.8e-02 1.01e+00 1.653872518e+02 1.668180858e+02 3.3e-07 0.33 22 2.4e-04 9.6e-02 1.4e-02 1.01e+00 1.660337135e+02 1.665706256e+02 1.3e-07 0.34 23 9.1e-05 9.3e-02 5.6e-03 1.01e+00 1.662643767e+02 1.664734884e+02 5.0e-08 0.36 24 8.2e-05 8.5e-02 5.1e-03 1.01e+00 1.662801856e+02 1.664683641e+02 4.5e-08 0.37 25 7.4e-05 7.7e-02 4.6e-03 1.01e+00 1.662931282e+02 1.664624192e+02 4.0e-08 0.38 26 6.7e-05 7.0e-02 4.1e-03 1.01e+00 1.663048697e+02 1.664571799e+02 3.6e-08 0.39 27 6.0e-05 6.4e-02 3.7e-03 1.01e+00 1.663153795e+02 1.664524151e+02 3.3e-08 0.41 28 5.4e-05 5.8e-02 3.3e-03 1.01e+00 1.663248144e+02 1.664481107e+02 2.9e-08 0.42 29 4.8e-05 5.3e-02 3.0e-03 1.01e+00 1.663332809e+02 1.664442181e+02 2.6e-08 0.43 30 4.4e-05 4.9e-02 2.7e-03 1.01e+00 1.663408801e+02 1.664406994e+02 2.4e-08 0.45 31 3.9e-05 4.5e-02 2.4e-03 1.01e+00 1.663477017e+02 1.664375192e+02 2.1e-08 0.46 32 3.5e-05 4.1e-02 2.2e-03 1.01e+00 1.663538259e+02 1.664346455e+02 1.9e-08 0.47 33 3.2e-05 3.8e-02 2.0e-03 1.01e+00 1.663593248e+02 1.664320492e+02 1.7e-08 0.49 34 2.9e-05 3.5e-02 1.8e-03 1.00e+00 1.663642629e+02 1.664297041e+02 1.6e-08 0.50 35 2.6e-05 3.2e-02 1.6e-03 1.00e+00 1.663686978e+02 1.664275861e+02 1.4e-08 0.51 36 2.3e-05 3.0e-02 1.4e-03 1.00e+00 1.663726813e+02 1.664256736e+02 1.3e-08 0.53 37 2.1e-05 2.8e-02 1.3e-03 1.00e+00 1.663762595e+02 1.664239469e+02 1.1e-08 0.54 38 1.9e-05 2.6e-02 1.2e-03 1.00e+00 1.663794741e+02 1.664223881e+02 1.0e-08 0.55 39 1.7e-05 2.4e-02 1.0e-03 1.00e+00 1.663823623e+02 1.664209811e+02 9.2e-09 0.56 40 1.5e-05 2.2e-02 9.4e-04 1.00e+00 1.663849573e+02 1.664197112e+02 8.3e-09 0.58 41 1.4e-05 2.1e-02 8.5e-04 1.00e+00 1.663872893e+02 1.664185653e+02 7.5e-09 0.59 42 1.2e-05 2.0e-02 7.6e-04 1.00e+00 1.663893850e+02 1.664175315e+02 6.7e-09 0.60 43 1.1e-05 1.8e-02 6.9e-04 1.00e+00 1.663912685e+02 1.664165987e+02 6.0e-09 0.62 44 1.0e-05 1.7e-02 6.2e-04 1.00e+00 1.663929614e+02 1.664157574e+02 5.4e-09 0.63 45 9.0e-06 1.7e-02 5.6e-04 1.00e+00 1.663944832e+02 1.664149986e+02 4.9e-09 0.64 46 8.1e-06 1.6e-02 5.0e-04 1.00e+00 1.663958513e+02 1.664143143e+02 4.4e-09 0.66 47 7.3e-06 1.5e-02 4.5e-04 1.00e+00 1.663970812e+02 1.664136972e+02 4.0e-09 0.67 48 6.5e-06 1.4e-02 4.1e-04 1.00e+00 1.663981870e+02 1.664131409e+02 3.6e-09 0.68 49 5.9e-06 1.4e-02 3.7e-04 1.00e+00 1.663991812e+02 1.664126394e+02 3.2e-09 0.69 50 5.3e-06 1.3e-02 3.3e-04 1.00e+00 1.664000753e+02 1.664121873e+02 2.9e-09 0.71 51 4.8e-06 1.3e-02 3.0e-04 1.00e+00 1.664008792e+02 1.664117798e+02 2.6e-09 0.72 52 4.3e-06 1.2e-02 2.7e-04 1.00e+00 1.664016021e+02 1.664114125e+02 2.3e-09 0.73 53 3.9e-06 1.2e-02 2.4e-04 1.00e+00 1.664022522e+02 1.664110814e+02 2.1e-09 0.74 54 3.5e-06 1.1e-02 2.2e-04 1.00e+00 1.664028368e+02 1.664107829e+02 1.9e-09 0.75 55 3.1e-06 1.1e-02 1.9e-04 1.00e+00 1.664033625e+02 1.664105139e+02 1.7e-09 0.77 56 2.8e-06 1.1e-02 1.7e-04 1.00e+00 1.664038353e+02 1.664102715e+02 1.5e-09 0.78 57 2.5e-06 1.1e-02 1.6e-04 1.00e+00 1.664042606e+02 1.664100531e+02 1.4e-09 0.79 58 2.3e-06 1.0e-02 1.4e-04 1.00e+00 1.664046431e+02 1.664098564e+02 1.2e-09 0.80 59 2.1e-06 1.0e-02 1.3e-04 1.00e+00 1.664049873e+02 1.664096792e+02 1.1e-09 0.82 60 1.8e-06 9.8e-03 1.1e-04 1.00e+00 1.664052969e+02 1.664095196e+02 1.0e-09 0.83 61 1.7e-06 9.7e-03 1.0e-04 1.00e+00 1.664055754e+02 1.664093758e+02 9.1e-10 0.84 62 1.5e-06 9.5e-03 9.3e-05 1.00e+00 1.664058260e+02 1.664092464e+02 8.2e-10 0.85 63 1.3e-06 9.3e-03 8.4e-05 1.00e+00 1.664060515e+02 1.664091298e+02 7.4e-10 0.86 64 1.2e-06 9.2e-03 7.5e-05 1.00e+00 1.664062543e+02 1.664090248e+02 6.6e-10 0.88 65 1.1e-06 9.1e-03 6.8e-05 1.00e+00 1.664064368e+02 1.664089302e+02 6.0e-10 0.89 66 9.8e-07 9.0e-03 6.1e-05 1.00e+00 1.664066010e+02 1.664088451e+02 5.4e-10 0.90 67 8.8e-07 8.9e-03 5.5e-05 1.00e+00 1.664067487e+02 1.664087684e+02 4.8e-10 0.91 68 8.0e-07 8.8e-03 4.9e-05 1.00e+00 1.664068816e+02 1.664086993e+02 4.3e-10 0.93 69 7.2e-07 8.7e-03 4.4e-05 1.00e+00 1.664070012e+02 1.664086371e+02 3.9e-10 0.94 70 6.4e-07 8.6e-03 4.0e-05 1.00e+00 1.664071087e+02 1.664085811e+02 3.5e-10 0.95 71 5.8e-07 8.5e-03 3.6e-05 1.00e+00 1.664072054e+02 1.664085306e+02 3.2e-10 0.96 72 5.2e-07 8.5e-03 3.2e-05 1.00e+00 1.664072925e+02 1.664084851e+02 2.9e-10 0.97 73 4.7e-07 8.4e-03 2.9e-05 1.00e+00 1.664073707e+02 1.664084441e+02 2.6e-10 0.99 74 4.2e-07 8.3e-03 2.6e-05 1.00e+00 1.664074411e+02 1.664084072e+02 2.3e-10 1.00 75 3.8e-07 8.3e-03 2.4e-05 1.00e+00 1.664075045e+02 1.664083739e+02 2.1e-10 1.01 76 3.4e-07 8.2e-03 2.1e-05 1.00e+00 1.664075614e+02 1.664083439e+02 1.9e-10 1.02 77 3.1e-07 8.2e-03 1.9e-05 1.00e+00 1.664076127e+02 1.664083169e+02 1.7e-10 1.03 78 2.8e-07 8.1e-03 1.7e-05 1.00e+00 1.664076588e+02 1.664082926e+02 1.5e-10 1.04 79 2.5e-07 8.1e-03 1.5e-05 1.00e+00 1.664077003e+02 1.664082707e+02 1.4e-10 1.06 80 2.2e-07 8.1e-03 1.4e-05 1.00e+00 1.664077376e+02 1.664082510e+02 1.2e-10 1.07 81 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664077712e+02 1.664082333e+02 1.1e-10 1.08 82 1.8e-07 8.0e-03 1.1e-05 1.00e+00 1.664078015e+02 1.664082173e+02 9.9e-11 1.09 83 1.6e-07 8.0e-03 1.0e-05 1.00e+00 1.664078287e+02 1.664082029e+02 9.0e-11 1.11 84 1.5e-07 8.0e-03 9.2e-06 1.00e+00 1.664078531e+02 1.664081899e+02 8.1e-11 1.12 85 1.3e-07 7.9e-03 8.2e-06 1.00e+00 1.664078752e+02 1.664081783e+02 7.3e-11 1.13 86 1.2e-07 7.9e-03 7.4e-06 1.00e+00 1.664078950e+02 1.664081678e+02 6.5e-11 1.14 87 1.1e-07 7.9e-03 6.7e-06 1.00e+00 1.664079128e+02 1.664081583e+02 5.9e-11 1.16 88 9.7e-08 7.9e-03 6.0e-06 1.00e+00 1.664079289e+02 1.664081498e+02 5.3e-11 1.17 89 8.7e-08 7.8e-03 5.4e-06 1.00e+00 1.664079433e+02 1.664081422e+02 4.8e-11 1.18 90 7.8e-08 7.8e-03 4.9e-06 1.00e+00 1.664079563e+02 1.664081353e+02 4.3e-11 1.19 91 7.1e-08 7.8e-03 4.4e-06 1.00e+00 1.664079680e+02 1.664081291e+02 3.9e-11 1.20 92 6.4e-08 7.8e-03 3.9e-06 1.00e+00 1.664079785e+02 1.664081235e+02 3.5e-11 1.21 93 5.7e-08 7.8e-03 3.5e-06 1.00e+00 1.664079880e+02 1.664081185e+02 3.1e-11 1.22 94 5.1e-08 7.8e-03 3.2e-06 1.00e+00 1.664079965e+02 1.664081140e+02 2.8e-11 1.24 95 4.6e-08 7.8e-03 2.9e-06 1.00e+00 1.664080042e+02 1.664081099e+02 2.5e-11 1.25 96 4.2e-08 7.7e-03 2.6e-06 1.00e+00 1.664080111e+02 1.664081062e+02 2.3e-11 1.26 97 3.7e-08 7.7e-03 2.3e-06 1.00e+00 1.664080173e+02 1.664081029e+02 2.0e-11 1.27 98 3.4e-08 7.7e-03 2.1e-06 9.99e-01 1.664080229e+02 1.664080999e+02 1.8e-11 1.28 99 3.0e-08 7.7e-03 1.9e-06 1.00e+00 1.664080279e+02 1.664080973e+02 1.7e-11 1.29 100 2.7e-08 7.7e-03 1.7e-06 9.99e-01 1.664080325e+02 1.664080949e+02 1.5e-11 1.31 101 2.5e-08 7.7e-03 1.5e-06 9.99e-01 1.664080365e+02 1.664080927e+02 1.3e-11 1.32 102 2.2e-08 7.6e-03 1.4e-06 9.98e-01 1.664080402e+02 1.664080908e+02 1.2e-11 1.34 103 2.0e-08 7.6e-03 1.2e-06 1.00e+00 1.664080435e+02 1.664080891e+02 1.1e-11 1.35 104 1.8e-08 7.6e-03 1.1e-06 9.98e-01 1.664080465e+02 1.664080875e+02 9.8e-12 1.36 105 1.6e-08 7.6e-03 1.0e-06 9.98e-01 1.664080491e+02 1.664080861e+02 8.8e-12 1.37 106 1.5e-08 6.8e-03 9.0e-07 1.00e+00 1.664080515e+02 1.664080848e+02 7.9e-12 1.39 107 1.3e-08 6.2e-03 8.1e-07 9.99e-01 1.664080537e+02 1.664080836e+02 7.1e-12 1.40 108 1.2e-08 5.5e-03 7.3e-07 9.97e-01 1.664080557e+02 1.664080826e+02 6.4e-12 1.41 109 1.1e-08 5.0e-03 6.6e-07 9.97e-01 1.664080574e+02 1.664080816e+02 5.8e-12 1.42 110 9.6e-09 4.5e-03 5.9e-07 1.00e+00 1.664080590e+02 1.664080808e+02 5.2e-12 1.44 111 8.6e-09 4.0e-03 5.3e-07 1.01e+00 1.664080605e+02 1.664080800e+02 4.7e-12 1.46 112 7.7e-09 3.6e-03 4.8e-07 1.01e+00 1.664080618e+02 1.664080793e+02 4.3e-12 1.47 113 7.0e-09 3.3e-03 4.3e-07 1.00e+00 1.664080629e+02 1.664080787e+02 3.8e-12 1.48 114 6.3e-09 2.9e-03 3.9e-07 1.01e+00 1.664080640e+02 1.664080781e+02 3.5e-12 1.49 115 5.7e-09 2.6e-03 3.5e-07 9.94e-01 1.664080649e+02 1.664080776e+02 3.1e-12 1.50 116 5.1e-09 2.4e-03 3.1e-07 9.84e-01 1.664080657e+02 1.664080772e+02 2.8e-12 1.52 117 2.1e-08 2.4e-03 3.1e-07 -3.26e-01 1.664080664e+02 1.664080752e+02 2.6e-12 1.53 118 2.1e-08 2.1e-03 2.8e-07 1.02e+00 1.664080676e+02 1.664080744e+02 2.2e-12 1.54 119 1.8e-08 2.0e-03 2.5e-07 9.97e-01 1.664080680e+02 1.664080743e+02 2.0e-12 1.58 120 1.7e-08 1.8e-03 2.3e-07 9.92e-01 1.664080686e+02 1.664080742e+02 1.8e-12 1.59 121 1.5e-08 1.7e-03 2.1e-07 1.03e+00 1.664080691e+02 1.664080741e+02 1.6e-12 1.60 122 1.3e-08 1.5e-03 1.9e-07 1.02e+00 1.664080696e+02 1.664080740e+02 1.5e-12 1.62 123 1.2e-08 1.3e-03 1.7e-07 1.04e+00 1.664080700e+02 1.664080739e+02 1.3e-12 1.63 124 1.1e-08 1.2e-03 1.5e-07 1.01e+00 1.664080703e+02 1.664080738e+02 1.2e-12 1.64 125 9.8e-09 1.1e-03 1.4e-07 9.98e-01 1.664080706e+02 1.664080737e+02 1.1e-12 1.65 126 8.9e-09 9.8e-04 1.2e-07 9.96e-01 1.664080709e+02 1.664080737e+02 9.8e-13 1.67 Optimizer terminated. Time: 1.67 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 1.6640807086e+02 nrm: 2e+01 Viol. con: 1e-07 var: 0e+00 Dual. obj: 1.6640807369e+02 nrm: 1e+03 Viol. con: 0e+00 var: 4e-03 * End solution on dual form. * Transforming to primal solution. Solving took 1.71 seconds. Solving took 9 GP solves and 24.4 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: 1.4957403142127757e+110 vs 1.49570493199e+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 Solution check warning: Primal solution computed cost did not match solver-returned cost: 7.485942833952247e+74 vs 7.48576841516e+74 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 WEIGHT DIFFERENCES Total Fuel Weight Percent Diff: [-92.94682601] Total Aircraft Weight Percent Diff: [-21.48053826] Engine Weight Percent Diff: -56.27816263501683 Fuselage Weight Percent Diff: -0.8697283781658797 Payload Weight Percent Diff: [-0.0400356] VT Weight Percent Diff: -8.607712900393501 HT Weight Percent Diff: -93.23330431885311 Wing Weight Percent Diff: 8.267573259901017 WING DIFFERENCES Wing Span Percent Diff: -0.029994358510184876 Wing Area Percent Diff: 32.89970105408197 HORIZONTAL TAIL DIFFERENCES HT Area Percent Diff: 40.48862631668246 VERTICAL TAIL DIFFERENCES VT Span Percent Diff: -11.02232031308826 VT Area Percent Diff: -60.38681772051953 CRUISE SEGMENT 1 DRAG DIFFERENCES Overall Cd Percent Diff: [-18.54721004] L/D Percent Diff: [24.01023756] Nacelle Cd Percent Diff: [-94.27640786] HT Cd Percent Diff: [-80.7694112] dimensionless Fuselage Cd Percent Diff: [108.78752887] VT Cd Percent Diff: [-58.00288783] dimensionless Wing Cd percent Diff: [-14.229156] Induced Drag Cd Percent Diff: [1.21939606] CRUISE SEGMENT 1 TSFC DIFFERENCES Initial Cruise TSFC Percent Diff: [-90.57036149] FUSELAGE DIFFERENCES Weight of HB material: -38.360425524416385 Weight of VB material: 87.8200230270085 Fan Propulsive Efficiency in Cruise Segment 1 --------------------- [0.71260522] Mission1 ======== Cost ---- W_{f_{total}}[:].sum() Constraints ----------- W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin} PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:]) x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:]) x_{CG}[3] <= \Delta x_n + x_n \Delta x_m + x_{CG}[3] >= x_m \tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m C_{D_{fuse}}[:] = 0.018081 M_{fuseD} = 0.72 W_{start}[0] = W_{total}[:] W_{start}[:] >= W_{end}[:] + W_{burn}[:] W_{start}[1:] = W_{end}[:4] W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1] W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2] W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1] hft[2] >= CruiseAlt hft[1:5] = hft[:4] + dhft[1:5] hft[0] = dhft[0] dhft[1:3] = dhft[:2] RC[0] >= 2.5e+03 RC[:3] >= RC_{min}[:3] \theta[2] >= 0.015 hft[2] >= MinCruiseAlt n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:] R_{segment}[3:4] = R_{segment}[4:5] M[3:5] >= M_{min} 0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req} Fsafetyfac*F[0] = T_e W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:] V_2[:] = M_2[:]*a[:] \alpha_{max,w}[:3] = 0.18 \alpha_{max,w}[3:] = 0.1 0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime 0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime ClimbTime <= MaxClimbTime T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}} F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:] F_{fuel}[:] <= 1.0000001 OPR[:] <= OPR_{max} Aircraft Fuselage W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on} W_{pass}[:] >= n_{pass}[:]*W_{avg. pass} W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo} W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}} W_{payload}[:] <= W_{payload_{max}} n_{pass}[:] <= n_{seat} n_{rows} = n_{seat}/SPR l_{shell} = n_{rows}*p_s \theta_{db} = w_{db}/R_{fuse} R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db} A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db} (PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse} A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin} w_{floor} = w_{fuse} R_{fuse} + w_{db} >= w_{fuse} h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse} t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell} S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2 S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2 l_{fuse} = l_{nose} + l_{shell} + l_{cone} l_{cone} = R_{fuse}/\lambda_{cone} x_{shell1} = l_{nose} x_{shell2} >= l_{nose} + l_{shell} t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin} t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin} \sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell}) \sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin} l_{floor} >= l_{shell} + 2*R_{fuse} P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat}) A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor} V_{floor} = 2*w_{floor}*A_{floor} W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor} \tau_{cone} = \sigma_{skin} W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame}) x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone} -2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}} (PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}} x_{hbend_{Land}} >= x_{wing} x_{hbend_{Land}} <= l_{fuse} x_{hbend_{MLF}} >= x_{wing} x_{hbend_{MLF}} <= l_{fuse} A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}}) A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}}) A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h}) A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h}) A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2) A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}} A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}} A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}} A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}} A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}} A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}} A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}} A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}} V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c} V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c} V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}} W_{hbend} >= g*\rho_{bend}*V_{hbend} x_{vbend} >= x_{wing} x_{vbend} <= l_{fuse} B_{0v} = B_{1v}*(x_{tail} - x_{vbend}) B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2) B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}} 0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}} V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c} V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}} W_{vbend} >= \rho_{bend}*g*V_{vbend} x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c} x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c} \sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h} \sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v} V_{cyl} = A_{skin}*l_{shell} V_{nose} = S_{nose}*t_{skin} V_{bulk} = S_{bulk}*t_{skin} V_{db} = A_{db}*l_{shell} V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse}) W_{apu} = W_{payload_{max}}*f_{apu} W_{db} = \rho_{skin}*g*V_{db} W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk}) W_{window} >= W'_{window}*l_{shell} W_{padd} = W_{payload_{max}}*f_{padd} W_{seat} >= W'_{seat}*n_{seat} W_{seat} >= f_{seat}*W_{payload_{max}} W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk}) W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db} W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone}) Wing WingNoStruct A_{rect} = c_{tip}*b 0.5*(1 - \lambda)*c_{root}*b <= A_{tri} p >= 1 + 2*\lambda 2*q >= 1 + p y_{mac} = b/3*q/p mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q \lambda = c_{tip}/c_{root} S = b*(c_{root} + c_{tip})/2 0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w) e*(1 + f(\lambda_w)*AR) <= 1 \lambda >= 0.15 V_{fuel, max} <= 0.303*mac^2*b*\tau W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g b <= b_{max} WingBox AR = b^2/S 0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5) \tau <= \tau_{max_w} W_{struct} >= W_{web} + W_{cap} AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5) Mission1.Aircraft.Wing.WingBox.N_{lift} = 3 Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8 \lambda = taper W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt}) 0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}} Engine Compressor (no constraints) Combustor (no constraints) Turbine (no constraints) Thrust (no constraints) FanMap (no constraints) LPCMap (no constraints) HPCMap (no constraints) Sizing A_{2} >= A_{5} + A_{7} FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) EnginePerformance CompressorPerformance T_{t_0}[:] = T_{atm}[:]/c1[:]^-1 h_{t_0}[:] = C_{p_{air}*T_{t_0}[:] P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:] T_{t_{1.8}}[:] = T_{t_0}[:] h_{t_{1.8}}[:] = h_{t_0}[:] P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5 T_{T_{2}}[:] = T_{t_{1.8}}[:] h_{T_{2}}[:] = h_{t_{1.8}}[:] P_{T_{2}}[:] = P_{t_{1.8}}[:] P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:] T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016 h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:] P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:] T_{t_7}[:] = T_{t_{2.1}}[:] h_{t_7}[:] = h_{t_{2.1}}[:] P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:] T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152 h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1} P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:] T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491 h_{t_3}[:] = C_{p_{2}*T_{t_3}[:] CombustorPerformance h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:] h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:] fp1[:] = f[:] + 1 M_{4a}[:] = 0.1025 fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5 T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]] P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891 u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a} u_c[:] = r_{uc}*u_{4a}[:] P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891 TurbinePerformance h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:] P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:] \pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565 h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:] P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:] T_{t_5}[:] = T_{t_{4.9}}[:] h_{t_5}[:] = h_{t_{4.9}}[:] ThrustPerformance P_{8}[:] = P_{atm}[:] h_{8}[:] = C_{p_{fex}*T_{8}[:] u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:] (P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:] h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:] P_{6}[:] = P_{atm}[:] (P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:] u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:] h_6[:] = C_{p_{tex}*T_{6}[:] h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:] \alpha[:] = m_{fan}[:]/m_{core}[:] \alpha_{+1}[:] = \alpha[:] + 1 \alpha[:] <= \alpha_{max} F[:] <= F_{6}[:] + F_{8}[:] F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:]) TSFC[:] = 1/I_{sp}[:] F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:] FanMapPerformance m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}} LPCMapPerformance m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D} HPCMapPerformance m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D} SizingPerformance P_{7}[:] >= P_{atm}[:] M_7[:] <= 1 a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5 a_{7}[:]*M_7[:] = u_{7}[:] \rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:]) P_{5}[:] >= P_{atm}[:] M_5[:] <= 1 a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5 a_{5}[:]*M_5[:] = u_{5}[:] \rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:]) h_{2}[:] = C_{p_{1}*T_{2}[:] \rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]) u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/dum[:])^0.5 h_{2.5}[:] = C_{p_{2}*T_{2.5}[:] \rho_{2.5}[:] = P_{2.5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]) u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/dum[:])^0.5 m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine} d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5 d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5 \eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]]) h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:] P_{t_4}[:] = \pi_{b}*P_{t_3}[:] M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]] M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]]) P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:] \pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013 \pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10 \pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10 \pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10 m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{f}[:] >= 1 \pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10 \pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10 \pi_{lc}[:] >= 1 m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref}) \pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10 \pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10 \pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10 m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref}) \pi_{hc}[:] >= 1 OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:] P_{t_8}[:] = P_{t_7}[:] T_{t_8}[:] = T_{t_7}[:] P_{t_6}[:] = P_{t_5}[:] T_{t_6}[:] = T_{t_5}[:] F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:] I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g) N_{f}[:]*G_{f} = N_{1}[:] N_{1}[:] <= 1.1 N_{2}[:] <= 1.1 fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD} fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD} P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5 (T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2 P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979 (T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2 M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:] m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:] m_{total}[:] = m_{fan}[:] + m_{core}[:] P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512 T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1 m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2} P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857 T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1 m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD} 1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD} 0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD} m_{lc_D} >= 0.7*m_{coreD}/0.649 m_{lc_D} <= 1.3*m_{coreD}/0.649 m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23 m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23 \bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405 \bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405 F[:] = F_{spec}[:] T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}} OPR[:] <= OPR_{max} VerticalTail VerticalTailNoStruct C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}} L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}} c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt})) A_{vt} = b_{vt}^2/S_{vt} b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt} p_{vt} >= 1 + 2*\lambda_{vt} 2*q_{vt} >= 1 + p_{vt} y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt} 0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt} \lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}} \Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}} \Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt} \lambda_{vt} >= 0.25 V_{vt} >= V_{vt_{min}} WingBox AR_{vt} = (2*b_{vt})^2/(2*S_{vt}) 0.423*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) \tau_{vt} <= 0.14 W_{struct} >= 0.5*(W_{web} + W_{cap}) Mission1.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24 AR_{vt}*2*L_{vt_{max}}*Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5) Mission1.Aircraft.VerticalTail.WingBox.N_{lift} = 1 Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*Mission1.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8 \lambda_{vt} = taper W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT}) HorizontalTail HorizontalTailNoStruct \Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht} \Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}} p_{ht} >= 1 + 2*\lambda_{ht} 2*q_{ht} >= 1 + p_{ht} y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht} 0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht} \lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}} S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2 0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht}) e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1 AR_{ht} = b_{ht}^2/S_{ht} \lambda_{ht} >= 0.2 \lambda_{ht} <= 1 WingBox AR_{ht} = b_{ht}^2/S_{ht} 0.423*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap} \nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56 W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) \tau_{ht} <= 0.14 W_{struct} >= W_{web} + W_{cap} L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2 L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht}) 2*AR_{ht}*L_{shear}*Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12 W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5) Mission1.Aircraft.HorizontalTail.WingBox.N_{lift} = 1 Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission1.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8 L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht} L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}} W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht}) LandingGear l_n + z_{wing} + y_m*\tan(\gamma) >= l_m T = 2*y_m x_m >= x_n + B x_n >= 5 \tan(\phi) = \tan(\phi_{min}) (z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1 \tan(\psi) <= \tan(\psi_{max}) x_{up} - x_m <= l_m/\tan(\theta_{max}) y_m >= l_m S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG}) l_{oleo} = 2.5*S_{sa} d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5 l_m >= l_{oleo} + d_{t_m}/2 F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in]) W_{wa,m} = 1.2*F_{w_m}^0.609 F_{w_n} = L_{w_n}*d_{t_n}/1e+03 W_{wa,n} = 1.2*F_{w_n}^0.609 L_{w_m} = L_m/(n_{mg}*n_{wps}) L_{w_n} = L_n/n_{wps} d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315 w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48 d_{t_n} = 0.8*d_{t_m} w_{t_n} = 0.8*w_{t_m} W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m W_{mw} = n_{wps}*W_{wa,m} W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g \sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}}) W_{nw} >= n_{wps}*W_{wa,n} L_m <= 9.87*E*I_m/(K*l_m)^2 I_m = PI*r_m^3*t_m L_n <= 9.87*E*I_n/(K*l_n)^2 I_n = PI*r_n^3*t_n 2*r_m/t_m <= 40 2*r_m/t_n <= 40 h_{hold} >= 2*w_{t_m} + 2*r_m 0.8 >= 2*w_{t_n} + 2*r_n W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m})) W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n}) W_{lg} >= C_{lg}*(W_{mg} + W_{ng}) W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m x_m >= x_{CG_{lg}} c_{root} = c_0 Mission1.Aircraft.Wing.WingBox.r_{w/c} = Mission1.Aircraft.Fuselage.r_{w/c} x_w = x_{wing} Mission1.Aircraft.Fuselage.N_{lift} = Mission1.Aircraft.Wing.WingBox.N_{lift} f_{L_{total/wing}}*L_{max} >= Mission1.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}} W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc} W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:] W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:] W_{total}[:] <= W_{total, max} f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}} W_{misc} >= W_{lg} + W_{hpesys} W_{hpesys} = f_{hpesys}*W_{total, max} x_n <= l_{nose} x_m >= x_{wing} \Delta x_{AC_{wing}} + x_{wing} >= x_m x_{hpesys} = 1.1*l_{nose} x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys} d_{nacelle} >= d_{f} + 2*t_{nacelle} E_{land} >= W_{total, max}/(2*g)*w_{ult}^2 x_{up} = x_{shell2} L_n = W_{total, max}*\Delta x_m/B L_m = W_{total, max}*\Delta x_n/B L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max} y_{eng} >= y_m 3*n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}} V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse} W_{tail} >= n_{vt}*W_{vt} + W_{ht} 2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db} B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v}) m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht} x_{CG_{ht}} <= l_{fuse} V_{ht} = S_{ht}*l_{ht}/(S*mac) L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}} L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}} x_{CG_{vt}} <= l_{fuse} V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b) n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max} n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng} D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}} I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:] I_{z}[:] <= I_{z, max} S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2 l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}} f_{S_{nacelle}} = S_{nacelle}*S^-1 A_{inlet} = 0.4*S_{nacelle} A_{fancowl} = 0.2*S_{nacelle} A_{exh} = 0.4*S_{nacelle} A_{corecowl} = 3PI*d_{LPC}^2 W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl}) W_{eadd} = f_{eadd}*W_{engine} W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon} W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine}) y_{eng} = 0.5*w_{fuse} (L_{max} - Mission1.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission1.Aircraft.Wing.WingBox.M_r*c_{root} A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend}) A_{1h_{MLF}} >= (Mission1.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h}) I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16) I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81 I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81) x_{shell2} + l_{cone} >= x_{eng} x_{eng} >= x_{shell2} + 0.75*l_{cone} S_{floor} = 0.312*P_{floor} M_{floor} = 0.0352*P_{floor}*w_{floor} \Delta R_{fuse} = R_{fuse}*0.43/1.75 b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2 b_{ht_{out}} = 0.5*b_{ht} - w_{fuse} L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}} M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}} L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}} c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach} \pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht}) FlightSegment FlightState V[:] = V[:] a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5 V[:] = M[:]*a[:] Altitude h[:] = hft[:] Atmosphere (P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:] \rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:]) T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:] \mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72) FlightP P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:] RC[:] = P_{excess}[:]/W_{avg}[:] \theta[:]*V[:] = RC[:] dhft[:] = tmin[:]*RC[:] R_{segment}[:] = thr[:]*V[:] WingPerformance 0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:] \Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:] \Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2 (AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2 C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:] \alpha_w[:] <= \alpha_{max,w}[:] D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:] C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:] C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR) Re_w[:] = \rho[:]*V[:]*mac/\mu[:] C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114 FuselagePerformance (no constraints) VerticalTailPerformance D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:] Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:] C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577 HorizontalTailPerformance L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:] C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:] \alpha_{ht}[:] <= \alpha_{ht,max} C_{L_{\alpha,ht_0}}[:] = 6.28 D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:] C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht}) Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:] C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852 W_{burn}[:] = W_{burn}[:] F_{fuel}[:] = F_{fuel}[:] \rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:]) P_{cabin}[:] = 7.5e+04 T_{cabin}[:] = 297 V[:] >= V_{stall}[:] W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:] tmin[:] = thr[:] L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:] L_{total}[:] = f_{L_{total/wing}}*L_w[:] L_{total}[:] >= W_{avg}[:] + L_{ht}[:] D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2 D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:]) C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S) L/D[:] = W_{avg}[:]/D[:] W_{Load}[:] <= W_{Load_{max}}[:] W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S p_{o}[:] >= L_w[:]*c_{root}/S \eta_{o}[:] = w_{fuse}/(b/2) x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:] c_{m_{w}}[:] = 1.9 x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2) x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse} x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}} x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}} C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht} AR_{ht} >= 4 C_{L_{ht}}[:] >= 0.01 SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac SM[:] >= SM_{min} SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}} x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:] R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:] C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2 V_{nacelle}[:] = r_{v_{nacelle}}*V[:] V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]] r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0) C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0 D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S \Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}} M_2[:3] = M[:3] M_{2.5}[:3] = 0.6 hold_{2}[:3] = 1.07164 hold_{2.5}[:3] = 1.06372 P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:] c1[:] = 1 + 0.201*M[:]^2.0 M_2[3:] = M[3:] M_{2.5}[3:] = 0.6 hold_{2}[3:] = 1.07164 hold_{2.5}[3:] = 1.06372 Beginning signomial solve. Using solver 'mosek' Solving for 1768 variables. Number of Hessian non-zeros: 2054 * Solving exponential optimization problem on dual form. * * The following log information refers to the solution of the dual problem. * Problem Name : Objective sense : max Type : GECO (general convex optimization problem) Constraints : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 476 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: 0.03 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 878 Optimizer - Cones : 0 Optimizer - Scalar variables : 3466 conic : 0 Optimizer - Semi-definite variables: 0 scalarized : 0 Factor - setup time : 0.04 dense det. time : 0.00 Factor - ML order time : 0.00 GP order time : 0.04 Factor - nonzeros before factor : 1.49e+04 after factor : 1.55e+05 Factor - dense dim. : 0 flops : 3.17e+07 Factor - GP saved nzs : 3.36e+04 GP saved flops : 9.32e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.223083000e+05 2.000000000e+00 1.0e+00 0.07 1 1.6e+03 2.0e+03 8.4e+04 -9.71e-01 -1.214169755e+05 2.778937242e+00 6.8e-01 0.09 2 8.2e+02 1.1e+03 4.4e+04 -9.56e-01 -1.189685922e+05 5.116623673e+00 3.6e-01 0.10 3 2.9e+02 3.8e+02 1.6e+04 -9.15e-01 -1.102962345e+05 2.170095046e+01 1.3e-01 0.11 4 2.9e+02 3.8e+02 1.6e+04 -7.69e-01 -1.083159562e+05 1.743975991e+03 1.3e-01 0.13 5 1.1e+02 1.5e+02 6.0e+03 -7.60e-01 -8.473424866e+04 6.747984694e+03 5.0e-02 0.14 6 3.8e+01 4.9e+01 2.0e+03 -4.14e-01 -4.537005734e+04 1.080379792e+04 1.7e-02 0.15 7 2.0e+01 2.7e+01 1.1e+03 2.54e-01 -2.836625497e+04 7.045474557e+03 9.0e-03 0.18 8 9.4e+00 1.2e+01 5.0e+02 5.72e-01 -1.387003547e+04 4.245870985e+03 4.2e-03 0.19 9 4.7e+00 6.2e+00 2.6e+02 8.29e-01 -6.980052804e+03 2.517162242e+03 2.1e-03 0.21 10 1.4e+00 1.9e+00 7.8e+01 9.33e-01 -2.014621384e+03 9.508454525e+02 6.5e-04 0.22 11 6.4e-01 8.4e-01 3.5e+01 9.93e-01 -6.678945647e+02 6.594956157e+02 2.9e-04 0.24 12 4.8e-01 6.4e-01 2.7e+01 9.96e-01 -4.499444859e+02 5.609447906e+02 2.2e-04 0.25 13 3.5e-01 7.8e-01 1.9e+01 9.80e-01 -2.667764900e+02 4.766170471e+02 1.6e-04 0.27 14 1.7e-01 3.9e-01 9.5e+00 9.96e-01 3.398903189e-01 3.641145682e+02 8.0e-05 0.29 15 5.8e-02 1.6e-01 3.3e+00 9.94e-01 1.652792674e+02 2.911850936e+02 2.8e-05 0.30 16 3.3e-02 1.4e-01 1.9e+00 1.00e+00 2.032349806e+02 2.745517815e+02 1.6e-05 0.32 17 4.6e-03 2.1e-01 2.9e-01 1.00e+00 2.458601979e+02 2.569052088e+02 2.6e-06 0.33 18 1.3e-03 1.4e-01 8.6e-02 1.00e+00 2.513276389e+02 2.546006416e+02 7.8e-07 0.35 19 4.6e-04 1.1e-01 3.0e-02 1.00e+00 2.528755707e+02 2.540040947e+02 2.7e-07 0.36 20 1.8e-04 9.1e-02 1.2e-02 1.00e+00 2.533597014e+02 2.538150010e+02 1.1e-07 0.37 21 1.7e-04 8.2e-02 1.1e-02 1.00e+00 2.533933866e+02 2.538031620e+02 9.9e-08 0.39 22 1.5e-04 7.5e-02 9.7e-03 1.00e+00 2.534228246e+02 2.537915997e+02 8.9e-08 0.40 23 1.3e-04 6.8e-02 8.7e-03 1.00e+00 2.534493464e+02 2.537812275e+02 8.0e-08 0.44 24 1.2e-04 6.2e-02 7.8e-03 1.00e+00 2.534731930e+02 2.537718722e+02 7.2e-08 0.45 25 1.1e-04 5.6e-02 7.1e-03 1.00e+00 2.534946426e+02 2.537634424e+02 6.5e-08 0.46 26 9.8e-05 5.2e-02 6.4e-03 1.00e+00 2.535139347e+02 2.537558453e+02 5.8e-08 0.47 27 8.8e-05 4.7e-02 5.7e-03 1.00e+00 2.535312881e+02 2.537490000e+02 5.3e-08 0.49 28 7.9e-05 4.3e-02 5.1e-03 1.00e+00 2.535468982e+02 2.537428327e+02 4.7e-08 0.50 29 7.1e-05 4.0e-02 4.6e-03 1.00e+00 2.535609408e+02 2.537372768e+02 4.3e-08 0.52 30 6.4e-05 3.6e-02 4.2e-03 1.00e+00 2.535735736e+02 2.537322719e+02 3.8e-08 0.53 31 5.8e-05 3.4e-02 3.8e-03 1.00e+00 2.535849385e+02 2.537277637e+02 3.5e-08 0.54 32 5.2e-05 3.1e-02 3.4e-03 1.00e+00 2.535951630e+02 2.537237031e+02 3.1e-08 0.57 33 4.7e-05 2.9e-02 3.0e-03 1.00e+00 2.536043618e+02 2.537200458e+02 2.8e-08 0.58 34 4.2e-05 2.7e-02 2.7e-03 1.00e+00 2.536126378e+02 2.537167517e+02 2.5e-08 0.59 35 3.8e-05 2.5e-02 2.5e-03 1.00e+00 2.536200838e+02 2.537137851e+02 2.3e-08 0.60 36 3.4e-05 2.3e-02 2.2e-03 1.00e+00 2.536267832e+02 2.537111133e+02 2.0e-08 0.62 37 3.1e-05 2.1e-02 2.0e-03 1.00e+00 2.536328109e+02 2.537087072e+02 1.8e-08 0.63 38 2.8e-05 2.0e-02 1.8e-03 1.00e+00 2.536382344e+02 2.537065405e+02 1.7e-08 0.64 39 2.5e-05 1.9e-02 1.6e-03 1.00e+00 2.536431143e+02 2.537045893e+02 1.5e-08 0.66 40 2.2e-05 1.8e-02 1.5e-03 1.00e+00 2.536475051e+02 2.537028323e+02 1.3e-08 0.68 41 2.0e-05 1.7e-02 1.3e-03 1.00e+00 2.536514561e+02 2.537012503e+02 1.2e-08 0.69 42 1.8e-05 1.6e-02 1.2e-03 1.00e+00 2.536550112e+02 2.536998258e+02 1.1e-08 0.71 43 1.6e-05 1.5e-02 1.1e-03 1.00e+00 2.536582102e+02 2.536985432e+02 9.8e-09 0.72 44 1.5e-05 1.4e-02 9.5e-04 1.00e+00 2.536610889e+02 2.536973885e+02 8.8e-09 0.74 45 1.3e-05 1.4e-02 8.6e-04 1.00e+00 2.536636793e+02 2.536963489e+02 7.9e-09 0.75 46 1.2e-05 1.3e-02 7.7e-04 1.00e+00 2.536660103e+02 2.536954129e+02 7.1e-09 0.76 47 1.1e-05 1.2e-02 7.0e-04 1.00e+00 2.536681080e+02 2.536945703e+02 6.4e-09 0.78 48 9.6e-06 1.2e-02 6.3e-04 1.00e+00 2.536699957e+02 2.536938118e+02 5.8e-09 0.79 49 8.7e-06 1.2e-02 5.6e-04 1.00e+00 2.536716945e+02 2.536931290e+02 5.2e-09 0.80 50 7.8e-06 1.1e-02 5.1e-04 1.00e+00 2.536732232e+02 2.536925143e+02 4.7e-09 0.82 51 7.0e-06 1.1e-02 4.6e-04 1.00e+00 2.536745990e+02 2.536919610e+02 4.2e-09 0.83 52 6.3e-06 1.0e-02 4.1e-04 1.00e+00 2.536758371e+02 2.536914629e+02 3.8e-09 0.84 53 5.7e-06 1.0e-02 3.7e-04 1.00e+00 2.536769513e+02 2.536910146e+02 3.4e-09 0.85 54 5.1e-06 9.9e-03 3.3e-04 1.00e+00 2.536779540e+02 2.536906110e+02 3.1e-09 0.87 55 4.6e-06 9.7e-03 3.0e-04 1.00e+00 2.536788564e+02 2.536902477e+02 2.8e-09 0.88 56 4.1e-06 9.5e-03 2.7e-04 1.00e+00 2.536796685e+02 2.536899207e+02 2.5e-09 0.89 57 3.7e-06 9.3e-03 2.4e-04 1.00e+00 2.536803993e+02 2.536896263e+02 2.2e-09 0.91 58 3.4e-06 9.1e-03 2.2e-04 1.00e+00 2.536810570e+02 2.536893613e+02 2.0e-09 0.93 59 3.0e-06 8.9e-03 2.0e-04 1.00e+00 2.536816489e+02 2.536891228e+02 1.8e-09 0.94 60 1.2e-06 3.4e-03 7.6e-05 1.00e+00 2.536849211e+02 2.536878032e+02 7.0e-10 0.96 61 1.0e-06 3.1e-03 6.8e-05 1.00e+00 2.536851269e+02 2.536877209e+02 6.3e-10 0.97 62 3.7e-07 1.1e-03 2.4e-05 1.00e+00 2.536863131e+02 2.536872421e+02 2.2e-10 0.99 63 3.4e-07 1.0e-03 2.2e-05 1.00e+00 2.536863794e+02 2.536872155e+02 2.0e-10 1.01 64 3.0e-07 9.0e-04 2.0e-05 1.00e+00 2.536864389e+02 2.536871914e+02 1.8e-10 1.02 65 2.7e-07 8.1e-04 1.8e-05 1.00e+00 2.536864925e+02 2.536871697e+02 1.6e-10 1.04 66 2.5e-07 7.3e-04 1.6e-05 1.00e+00 2.536865407e+02 2.536871503e+02 1.5e-10 1.05 67 2.2e-07 6.6e-04 1.4e-05 1.00e+00 2.536865841e+02 2.536871327e+02 1.3e-10 1.07 68 2.0e-07 5.9e-04 1.3e-05 1.00e+00 2.536866232e+02 2.536871169e+02 1.2e-10 1.09 69 1.8e-07 5.3e-04 1.2e-05 1.00e+00 2.536866583e+02 2.536871027e+02 1.1e-10 1.10 70 1.6e-07 4.8e-04 1.1e-05 1.00e+00 2.536866900e+02 2.536870899e+02 9.7e-11 1.11 71 1.5e-07 4.3e-04 9.5e-06 1.00e+00 2.536867185e+02 2.536870784e+02 8.7e-11 1.13 72 1.3e-07 3.9e-04 8.5e-06 1.00e+00 2.536867441e+02 2.536870680e+02 7.8e-11 1.14 73 1.2e-07 3.5e-04 7.7e-06 1.00e+00 2.536867672e+02 2.536870587e+02 7.1e-11 1.15 74 1.1e-07 3.1e-04 6.9e-06 1.00e+00 2.536867879e+02 2.536870503e+02 6.3e-11 1.18 75 9.5e-08 2.8e-04 6.2e-06 1.00e+00 2.536868066e+02 2.536870427e+02 5.7e-11 1.19 76 8.6e-08 2.5e-04 5.6e-06 1.00e+00 2.536868234e+02 2.536870359e+02 5.1e-11 1.20 77 7.7e-08 2.3e-04 5.0e-06 1.00e+00 2.536868385e+02 2.536870298e+02 4.6e-11 1.22 78 6.9e-08 2.1e-04 4.5e-06 1.00e+00 2.536868521e+02 2.536870243e+02 4.2e-11 1.23 79 6.3e-08 1.9e-04 4.1e-06 1.00e+00 2.536868644e+02 2.536870193e+02 3.7e-11 1.24 80 5.6e-08 1.7e-04 3.7e-06 1.00e+00 2.536868754e+02 2.536870149e+02 3.4e-11 1.26 81 5.1e-08 1.5e-04 3.3e-06 1.00e+00 2.536868854e+02 2.536870109e+02 3.0e-11 1.28 82 4.6e-08 1.3e-04 3.0e-06 1.00e+00 2.536868943e+02 2.536870072e+02 2.7e-11 1.30 83 4.1e-08 1.2e-04 2.7e-06 1.00e+00 2.536869023e+02 2.536870040e+02 2.5e-11 1.31 84 3.7e-08 1.1e-04 2.4e-06 1.00e+00 2.536869096e+02 2.536870010e+02 2.2e-11 1.33 85 3.3e-08 9.8e-05 2.2e-06 1.00e+00 2.536869161e+02 2.536869984e+02 2.0e-11 1.34 86 3.0e-08 8.8e-05 1.9e-06 1.00e+00 2.536869219e+02 2.536869960e+02 1.8e-11 1.35 87 2.7e-08 8.0e-05 1.8e-06 1.00e+00 2.536869272e+02 2.536869939e+02 1.6e-11 1.37 88 2.4e-08 7.2e-05 1.6e-06 1.00e+00 2.536869319e+02 2.536869920e+02 1.5e-11 1.39 89 2.2e-08 6.5e-05 1.4e-06 1.00e+00 2.536869362e+02 2.536869902e+02 1.3e-11 1.40 90 2.0e-08 5.8e-05 1.3e-06 1.00e+00 2.536869401e+02 2.536869887e+02 1.2e-11 1.42 91 1.8e-08 5.2e-05 1.1e-06 1.00e+00 2.536869435e+02 2.536869873e+02 1.1e-11 1.44 92 1.6e-08 4.7e-05 1.0e-06 1.00e+00 2.536869466e+02 2.536869860e+02 9.5e-12 1.45 93 1.4e-08 4.2e-05 9.3e-07 1.00e+00 2.536869494e+02 2.536869849e+02 8.6e-12 1.47 94 1.3e-08 3.8e-05 8.4e-07 1.00e+00 2.536869520e+02 2.536869839e+02 7.7e-12 1.48 95 1.2e-08 3.4e-05 7.5e-07 1.00e+00 2.536869542e+02 2.536869829e+02 6.9e-12 1.50 96 1.0e-08 3.1e-05 6.8e-07 1.00e+00 2.536869563e+02 2.536869821e+02 6.2e-12 1.52 97 9.4e-09 2.8e-05 6.1e-07 1.00e+00 2.536869581e+02 2.536869814e+02 5.6e-12 1.53 Optimizer terminated. Time: 1.54 solsta = 1, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : OPTIMAL Primal. obj: 2.5368695810e+02 nrm: 4e+01 Viol. con: 2e-07 var: 0e+00 Dual. obj: 2.5368698136e+02 nrm: 8e+02 Viol. con: 0e+00 var: 2e-04 * End solution on dual form. * Transforming to primal solution. Solving took 1.58 seconds. Using solver 'mosek' Solving for 1768 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer started. Presolve started. Linear dependency checker started. Linear dependency checker terminated. Eliminator started. Freed constraints in eliminator : 476 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 : 1769 Cones : 0 Scalar variables : 6131 Matrix variables : 0 Integer variables : 0 Optimizer - threads : 8 Optimizer - solved problem : the primal Optimizer - Constraints : 879 Optimizer - Cones : 0 Optimizer - Scalar variables : 3468 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 : 1.49e+04 after factor : 1.56e+05 Factor - dense dim. : 0 flops : 3.19e+07 Factor - GP saved nzs : 3.36e+04 GP saved flops : 9.32e+05 ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME 0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.219705586e+05 2.000000000e+00 1.0e+00 0.05 1 1.6e+03 2.1e+03 8.4e+04 -9.71e-01 -1.211031020e+05 2.765533663e+00 6.9e-01 0.07 2 7.8e+02 1.0e+03 4.2e+04 -9.57e-01 -1.183621946e+05 5.379607955e+00 3.4e-01 0.08 3 2.9e+02 3.8e+02 1.6e+04 -9.11e-01 -1.100271642e+05 2.234927157e+01 1.3e-01 0.10 4 2.9e+02 3.8e+02 1.6e+04 -7.69e-01 -1.081090538e+05 1.691198782e+03 1.3e-01 0.13 5 1.2e+02 1.6e+02 6.6e+03 -7.61e-01 -8.730500726e+04 6.170178286e+03 5.4e-02 0.14 6 3.9e+01 5.1e+01 2.1e+03 -4.57e-01 -4.641557494e+04 1.102767695e+04 1.7e-02 0.15 7 2.3e+01 3.0e+01 1.2e+03 2.33e-01 -3.095362448e+04 7.311515434e+03 1.0e-02 0.17 8 9.3e+00 1.2e+01 5.0e+02 5.26e-01 -1.383958025e+04 4.015287293e+03 4.1e-03 0.18 9 6.1e+00 7.9e+00 3.2e+02 8.28e-01 -9.007628044e+03 2.852555853e+03 2.7e-03 0.19 10 2.1e+00 2.7e+00 1.1e+02 9.03e-01 -3.047258165e+03 1.195224977e+03 9.4e-04 0.21 11 1.6e+00 2.0e+00 8.5e+01 9.77e-01 -2.209373100e+03 9.993568394e+02 7.0e-04 0.22 12 1.0e+00 1.4e+00 5.6e+01 9.78e-01 -1.412745572e+03 7.362078430e+02 4.7e-04 0.24 13 4.1e-01 7.0e-01 2.2e+01 9.86e-01 -4.532334049e+02 3.966890953e+02 1.9e-04 0.27 14 2.4e-01 4.3e-01 1.3e+01 1.00e+00 -1.803313668e+02 3.208030866e+02 1.1e-04 0.28 15 7.5e-02 4.3e-01 4.2e+00 1.00e+00 5.907667930e+01 2.194258788e+02 3.6e-05 0.29 16 2.7e-02 1.8e-01 1.5e+00 1.01e+00 1.312032677e+02 1.889662771e+02 1.3e-05 0.31 17 8.9e-03 1.1e-01 5.2e-01 1.01e+00 1.583140177e+02 1.780792062e+02 4.6e-06 0.32 18 3.5e-03 9.8e-02 2.1e-01 1.01e+00 1.668085083e+02 1.746024948e+02 1.8e-06 0.34 19 9.2e-04 1.2e-01 5.6e-02 1.01e+00 1.708677782e+02 1.729897946e+02 5.1e-07 0.36 20 3.1e-04 1.0e-01 1.9e-02 1.00e+00 1.718819279e+02 1.726108386e+02 1.8e-07 0.37 21 1.1e-04 1.0e-01 7.1e-03 9.98e-01 1.722145287e+02 1.724820216e+02 6.5e-08 0.40 22 3.7e-05 1.0e-01 2.4e-03 9.99e-01 1.723408997e+02 1.724300134e+02 2.2e-08 0.41 23 3.4e-05 9.2e-02 2.1e-03 1.00e+00 1.723477057e+02 1.724279165e+02 1.9e-08 0.42 24 3.0e-05 8.4e-02 1.9e-03 1.00e+00 1.723534337e+02 1.724256231e+02 1.8e-08 0.44 25 2.7e-05 7.6e-02 1.7e-03 1.00e+00 1.723585613e+02 1.724235306e+02 1.6e-08 0.45 26 2.5e-05 7.0e-02 1.6e-03 1.00e+00 1.723631653e+02 1.724216358e+02 1.4e-08 0.47 27 2.2e-05 6.3e-02 1.4e-03 1.00e+00 1.723673034e+02 1.724199249e+02 1.3e-08 0.49 28 2.0e-05 5.8e-02 1.3e-03 1.00e+00 1.723710236e+02 1.724183812e+02 1.2e-08 0.51 29 1.8e-05 5.3e-02 1.1e-03 1.00e+00 1.723743688e+02 1.724169890e+02 1.0e-08 0.53 30 1.6e-05 4.8e-02 1.0e-03 1.00e+00 1.723773770e+02 1.724157339e+02 9.3e-09 0.55 31 1.5e-05 4.4e-02 9.2e-04 1.00e+00 1.723800823e+02 1.724146024e+02 8.4e-09 0.56 32 1.3e-05 4.1e-02 8.2e-04 1.00e+00 1.723825154e+02 1.724135826e+02 7.6e-09 0.58 33 1.2e-05 3.7e-02 7.4e-04 1.00e+00 1.723847038e+02 1.724126634e+02 6.8e-09 0.59 34 1.1e-05 3.4e-02 6.7e-04 1.00e+00 1.723866721e+02 1.724118351e+02 6.1e-09 0.61 35 9.5e-06 3.2e-02 6.0e-04 1.00e+00 1.723884426e+02 1.724110887e+02 5.5e-09 0.62 36 8.6e-06 2.9e-02 5.4e-04 1.00e+00 1.723900351e+02 1.724104163e+02 5.0e-09 0.64 37 7.7e-06 2.7e-02 4.9e-04 1.00e+00 1.723914678e+02 1.724098104e+02 4.5e-09 0.65 38 6.9e-06 2.5e-02 4.4e-04 1.00e+00 1.723927565e+02 1.724092646e+02 4.0e-09 0.66 39 6.3e-06 2.4e-02 3.9e-04 1.00e+00 1.723939159e+02 1.724087729e+02 3.6e-09 0.68 40 5.6e-06 2.2e-02 3.5e-04 1.00e+00 1.723949589e+02 1.724083301e+02 3.3e-09 0.69 41 5.1e-06 2.1e-02 3.2e-04 1.00e+00 1.723958973e+02 1.724079312e+02 2.9e-09 0.70 42 4.6e-06 1.9e-02 2.9e-04 1.00e+00 1.723967416e+02 1.724075719e+02 2.6e-09 0.72 43 4.1e-06 1.8e-02 2.6e-04 1.00e+00 1.723975012e+02 1.724072484e+02 2.4e-09 0.73 44 3.7e-06 1.7e-02 2.3e-04 1.00e+00 1.723981846e+02 1.724069570e+02 2.1e-09 0.74 45 3.3e-06 1.6e-02 2.1e-04 1.00e+00 1.723987995e+02 1.724066946e+02 1.9e-09 0.76 46 3.0e-06 1.5e-02 1.9e-04 1.00e+00 1.723993528e+02 1.724064584e+02 1.7e-09 0.77 47 2.7e-06 1.5e-02 1.7e-04 1.00e+00 1.723998506e+02 1.724062456e+02 1.6e-09 0.78 48 2.4e-06 1.4e-02 1.5e-04 1.00e+00 1.724002985e+02 1.724060540e+02 1.4e-09 0.79 49 2.2e-06 1.3e-02 1.4e-04 1.00e+00 1.724007016e+02 1.724058815e+02 1.3e-09 0.80 50 2.0e-06 1.3e-02 1.2e-04 1.00e+00 1.724010643e+02 1.724057262e+02 1.1e-09 0.82 51 1.8e-06 1.2e-02 1.1e-04 1.00e+00 1.724013906e+02 1.724055863e+02 1.0e-09 0.83 52 1.6e-06 1.2e-02 1.0e-04 1.00e+00 1.724016843e+02 1.724054604e+02 9.2e-10 0.84 53 1.4e-06 1.1e-02 9.0e-05 1.00e+00 1.724019485e+02 1.724053470e+02 8.3e-10 0.86 54 1.3e-06 1.1e-02 8.1e-05 1.00e+00 1.724021863e+02 1.724052450e+02 7.4e-10 0.87 55 1.2e-06 1.1e-02 7.3e-05 1.00e+00 1.724024003e+02 1.724051531e+02 6.7e-10 0.88 56 1.0e-06 1.0e-02 6.6e-05 1.00e+00 1.724025928e+02 1.724050703e+02 6.0e-10 0.90 57 9.4e-07 1.0e-02 5.9e-05 1.00e+00 1.724027661e+02 1.724049959e+02 5.4e-10 0.91 58 8.4e-07 9.8e-03 5.3e-05 1.00e+00 1.724029220e+02 1.724049288e+02 4.9e-10 0.93 59 7.6e-07 9.6e-03 4.8e-05 1.00e+00 1.724030623e+02 1.724048684e+02 4.4e-10 0.94 60 6.8e-07 9.4e-03 4.3e-05 1.00e+00 1.724031886e+02 1.724048141e+02 4.0e-10 0.96 61 6.2e-07 9.2e-03 3.9e-05 1.00e+00 1.724033022e+02 1.724047651e+02 3.6e-10 0.98 62 5.5e-07 9.1e-03 3.5e-05 1.00e+00 1.724034044e+02 1.724047211e+02 3.2e-10 0.99 63 5.0e-07 8.9e-03 3.1e-05 1.00e+00 1.724034964e+02 1.724046814e+02 2.9e-10 1.01 64 4.5e-07 8.8e-03 2.8e-05 1.00e+00 1.724035792e+02 1.724046457e+02 2.6e-10 1.02 65 4.0e-07 8.7e-03 2.5e-05 1.00e+00 1.724036537e+02 1.724046135e+02 2.3e-10 1.04 66 3.6e-07 8.6e-03 2.3e-05 1.00e+00 1.724037207e+02 1.724045846e+02 2.1e-10 1.06 67 3.3e-07 8.5e-03 2.1e-05 1.00e+00 1.724037810e+02 1.724045585e+02 1.9e-10 1.07 68 2.9e-07 8.4e-03 1.9e-05 1.00e+00 1.724038353e+02 1.724045351e+02 1.7e-10 1.09 69 2.7e-07 8.3e-03 1.7e-05 1.00e+00 1.724038842e+02 1.724045140e+02 1.5e-10 1.10 70 2.4e-07 8.2e-03 1.5e-05 1.00e+00 1.724039281e+02 1.724044949e+02 1.4e-10 1.11 71 2.1e-07 8.1e-03 1.4e-05 1.00e+00 1.724039677e+02 1.724044778e+02 1.2e-10 1.13 72 1.9e-07 8.1e-03 1.2e-05 1.00e+00 1.724040033e+02 1.724044624e+02 1.1e-10 1.15 73 1.7e-07 8.0e-03 1.1e-05 1.00e+00 1.724040353e+02 1.724044485e+02 1.0e-10 1.16 74 1.6e-07 8.0e-03 9.9e-06 9.99e-01 1.724040642e+02 1.724044360e+02 9.0e-11 1.17 75 1.4e-07 7.9e-03 8.9e-06 1.00e+00 1.724040901e+02 1.724044248e+02 8.1e-11 1.19 76 1.3e-07 7.9e-03 8.0e-06 1.00e+00 1.724041135e+02 1.724044147e+02 7.3e-11 1.20 77 1.1e-07 7.8e-03 7.2e-06 1.00e+00 1.724041344e+02 1.724044056e+02 6.6e-11 1.22 78 1.0e-07 7.8e-03 6.5e-06 1.00e+00 1.724041534e+02 1.724043974e+02 5.9e-11 1.23 79 9.2e-08 7.0e-03 5.8e-06 1.01e+00 1.724041707e+02 1.724043898e+02 5.4e-11 1.24 80 8.3e-08 6.3e-03 5.2e-06 9.98e-01 1.724041860e+02 1.724043831e+02 4.8e-11 1.26 81 7.5e-08 5.7e-03 4.7e-06 9.95e-01 1.724041998e+02 1.724043771e+02 4.3e-11 1.27 82 6.8e-08 5.1e-03 4.3e-06 9.94e-01 1.724042122e+02 1.724043717e+02 3.9e-11 1.29 83 6.1e-08 4.6e-03 3.8e-06 9.99e-01 1.724042233e+02 1.724043669e+02 3.5e-11 1.30 84 5.5e-08 4.1e-03 3.4e-06 9.99e-01 1.724042333e+02 1.724043626e+02 3.2e-11 1.31 85 4.9e-08 3.7e-03 3.1e-06 9.94e-01 1.724042423e+02 1.724043586e+02 2.8e-11 1.33 86 4.5e-08 3.4e-03 2.8e-06 9.91e-01 1.724042504e+02 1.724043551e+02 2.6e-11 1.34 87 4.0e-08 3.0e-03 2.5e-06 9.74e-01 1.724042578e+02 1.724043519e+02 2.3e-11 1.35 88 3.7e-08 2.7e-03 2.3e-06 9.78e-01 1.724042644e+02 1.724043489e+02 2.1e-11 1.37 89 3.2e-08 2.4e-03 2.0e-06 1.01e+00 1.724042705e+02 1.724043464e+02 1.9e-11 1.39 90 3.0e-08 2.2e-03 1.8e-06 1.05e+00 1.724042770e+02 1.724043434e+02 1.7e-11 1.40 91 2.7e-08 2.0e-03 1.6e-06 9.74e-01 1.724042816e+02 1.724043414e+02 1.6e-11 1.42 92 2.6e-08 1.8e-03 1.5e-06 1.01e+00 1.724042860e+02 1.724043393e+02 1.4e-11 1.43 93 2.5e-08 1.6e-03 1.3e-06 9.93e-01 1.724042898e+02 1.724043376e+02 1.3e-11 1.45 94 5.6e-08 2.3e-04 1.9e-07 7.69e-01 1.724043192e+02 1.724043264e+02 2.2e-12 1.46 95 2.7e-08 2.3e-04 1.9e-07 -1.73e+00 1.724043193e+02 1.724043245e+02 2.0e-12 1.47 96 4.0e-08 2.3e-04 2.1e-07 1.00e+00 1.724043188e+02 1.724043245e+02 2.0e-12 1.49 97 4.0e-08 2.3e-04 2.1e-07 1.03e+01 1.724043188e+02 1.724043245e+02 2.0e-12 1.51 Optimizer terminated. Time: 1.51 solsta = 7, prosta = 1 Interior-point solution summary Problem status : PRIMAL_AND_DUAL_FEASIBLE Solution status : NEAR_OPTIMAL Primal. obj: 1.7240431885e+02 nrm: 4e+01 Viol. con: 8e-07 var: 0e+00 Dual. obj: 1.7240432452e+02 nrm: 8e+02 Viol. con: 0e+00 var: 1e-03 * End solution on dual form. * Transforming to primal solution. Solving took 1.56 seconds.