--- Job ex8_2_3b Start 09/21/08 02:26:03 LNX-LX3 22.9.0 x86/Linux GAMS Rev 229 Copyright (C) 1987-2008 GAMS Development. All rights reserved *** ************* ALFA release *** GAMS Base Module ALFA 10Sep08 22.9.0 LNX 6574.6578 LX3 x86/Linux *** ************* ALFA release Licensee: Stefan Vigerske G080908/0001CB-LNX Humboldt University Berlin, Numerical Mathematics DC5918 --- Starting compilation --- ex8_2_3b.gms(34733) 9 Mb --- Starting execution: elapsed 0:00:00.554 --- ex8_2_3b.gms(34729) 9 Mb --- Generating NLP model m --- ex8_2_3b.gms(34733) 16 Mb --- 3,161 rows 15,642 columns 46,952 non-zeroes --- 143,872 nl-code 31,261 nl-non-zeroes --- ex8_2_3b.gms(34733) 13 Mb --- Executing IPOPT: elapsed 0:00:01.156 GAMS/Ipopt NLP Solver (IPOPT Library 3.5) written by A. Waechter List of user-set options: Name Value used acceptable_tol = 1e-08 yes compl_inf_tol = 0.0001 yes constr_viol_tol = 0.0001 yes linear_solver = ma27 yes tol = 1e-08 yes ****************************************************************************** This program contains Ipopt, a library for large-scale nonlinear optimization. Ipopt is released as open source code under the Common Public License (CPL). For more information visit http://projects.coin-or.org/Ipopt ****************************************************************************** This is Ipopt version 3.5stable, running with linear solver ma27. Number of nonzeros in equality constraint Jacobian...: 10 Number of nonzeros in inequality constraint Jacobian.: 31310 Number of nonzeros in Lagrangian Hessian.............: 15636 Total number of variables............................: 15641 variables with only lower bounds: 0 variables with lower and upper bounds: 15641 variables with only upper bounds: 0 Total number of equality constraints.................: 5 Total number of inequality constraints...............: 3155 inequality constraints with only lower bounds: 30 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 3125 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 -3.1587121e+03 3.96e-02 2.77e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 -3.1587173e+03 3.93e-02 3.16e+02 0.2 2.55e+00 - 4.27e-02 6.70e-03f 1 2 -3.1586819e+03 3.70e-02 3.79e+02 -0.6 1.32e+00 - 2.63e-02 6.16e-02f 1 3 -3.1588273e+03 3.16e-02 4.30e+02 -0.4 1.78e+00 - 2.13e-01 1.55e-01f 1 4 -3.1618480e+03 3.13e-02 7.92e+03 0.4 6.10e+01 - 5.78e-02 9.72e-03f 1 5 -3.1796691e+03 3.07e-02 5.59e+04 0.6 2.40e+02 - 8.22e-02 2.01e-02f 1 6 -3.3225900e+03 2.39e-02 2.58e+04 0.4 1.51e+02 - 1.15e-01 2.46e-01f 1 7 -3.3766602e+03 1.84e-02 6.64e+05 0.7 4.20e+01 - 1.00e+00 2.57e-01f 1 8 -3.4391634e+03 1.58e-02 1.44e+06 1.0 3.76e+02 - 1.00e+00 1.50e-01f 1 9 -3.4870998e+03 4.73e-03 9.33e+03 0.6 1.15e+01 - 1.00e+00 1.00e+00f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 -3.5473195e+03 9.91e-04 5.83e+03 0.1 1.32e+01 - 1.00e+00 1.00e+00f 1 11 -3.6124844e+03 1.93e-04 2.67e+04 -0.5 1.29e+01 - 1.00e+00 8.65e-01f 1 12 -3.6504253e+03 2.53e-05 7.64e+03 -1.1 2.18e+01 - 1.00e+00 9.02e-01f 1 13 -3.6720598e+03 3.75e-04 1.05e+02 -1.1 1.39e+01 - 1.00e+00 1.00e+00f 1 14 -3.6765353e+03 1.96e-05 4.22e+00 -1.4 3.96e+00 - 1.00e+00 1.00e+00f 1 15 -3.6798017e+03 8.68e-05 1.06e+03 -1.5 4.75e+00 - 6.45e-01 1.00e+00f 1 16 -3.6813344e+03 4.59e-05 1.23e-01 -1.5 1.61e+00 - 1.00e+00 1.00e+00f 1 17 -3.6918710e+03 2.23e-03 1.70e+03 -2.1 8.47e+00 - 1.92e-01 9.49e-01f 1 18 -3.6905627e+03 3.66e-04 8.89e-01 -1.7 3.51e+00 - 1.00e+00 1.00e+00f 1 19 -3.6956405e+03 4.36e-04 1.20e+00 -1.8 1.43e+00 - 9.87e-01 1.00e+00f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 20 -3.7028863e+03 1.22e-03 1.87e+01 -1.9 2.31e+00 - 6.39e-01 1.00e+00f 1 21 -3.7106425e+03 1.75e-03 3.15e-01 -2.1 2.48e+00 - 1.00e+00 1.00e+00f 1 22 -3.7262279e+03 9.21e-03 1.81e+00 -2.7 5.33e+00 - 6.14e-01 1.00e+00f 1 23 -3.7283655e+03 6.46e-03 1.68e+00 -3.1 7.29e+00 - 1.00e+00 3.28e-01f 1 24 -3.7262872e+03 4.62e-04 4.23e-01 -2.5 3.68e+00 - 1.00e+00 1.00e+00h 1 25 -3.7276263e+03 2.31e-04 1.07e+00 -3.0 5.48e+00 - 9.96e-01 2.40e-01f 1 26 -3.7279668e+03 1.12e-05 2.09e+00 -2.7 3.15e+00 - 9.42e-01 1.00e+00h 1 27 -3.7287595e+03 5.27e-04 2.09e+00 -2.7 1.00e+01 - 9.98e-01 9.00e-01f 1 28 -3.7290124e+03 6.58e-05 1.73e-01 -2.8 3.86e+00 - 1.00e+00 8.81e-01h 1 29 -3.7294679e+03 4.98e-05 5.04e-01 -2.9 4.75e+00 - 9.66e-01 1.00e+00f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 30 -3.7295960e+03 1.24e-05 1.78e-01 -3.0 1.48e+00 - 1.00e+00 8.23e-01h 1 31 -3.7297554e+03 1.66e-05 8.34e-02 -3.0 1.48e+00 - 9.80e-01 9.91e-01h 1 32 -3.7299089e+03 1.44e-05 4.69e-01 -3.2 4.03e+00 - 8.14e-01 4.00e-01f 1 33 -3.7303727e+03 3.63e-05 6.20e-01 -3.5 6.34e+00 - 1.00e+00 8.25e-01f 1 34 -3.7306431e+03 4.42e-05 3.61e-01 -3.7 1.06e+01 - 1.00e+00 1.00e+00f 1 35 -3.7306592e+03 1.58e-05 1.85e-02 -3.7 2.30e+00 - 1.00e+00 1.00e+00h 1 36 -3.7307363e+03 5.81e-06 6.62e-02 -3.8 3.77e+00 - 8.62e-01 1.00e+00h 1 37 -3.7307443e+03 5.32e-06 1.10e-02 -3.8 7.64e-01 - 1.00e+00 1.00e+00h 1 38 -3.7307876e+03 2.28e-05 3.13e-02 -3.9 2.27e+00 - 7.66e-01 9.82e-01h 1 39 -3.7309286e+03 7.23e-06 1.74e-01 -4.5 1.03e+01 - 9.96e-01 8.44e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 40 -3.7310071e+03 8.34e-06 7.66e-02 -4.7 1.14e+01 - 9.99e-01 1.00e+00f 1 41 -3.7310389e+03 5.66e-06 4.90e-02 -5.0 1.09e+01 - 1.00e+00 1.00e+00h 1 42 -3.7310579e+03 3.75e-06 1.75e-02 -5.3 1.25e+01 - 1.00e+00 1.00e+00h 1 43 -3.7310686e+03 1.32e-06 9.61e-03 -5.7 7.08e+00 - 1.00e+00 9.52e-01h 1 44 -3.7310737e+03 1.63e-06 5.61e-03 -6.0 1.44e+01 - 1.00e+00 1.00e+00h 1 45 -3.7310766e+03 9.46e-07 3.15e-03 -6.4 1.32e+01 - 1.00e+00 9.91e-01h 1 46 -3.7310779e+03 2.01e-07 5.59e-04 -6.7 7.84e+00 - 1.00e+00 1.00e+00h 1 47 -3.7310786e+03 1.50e-07 6.06e-04 -7.1 1.25e+01 - 1.00e+00 9.26e-01h 1 48 -3.7310790e+03 9.58e-08 2.79e-04 -7.4 1.61e+01 - 1.00e+00 1.00e+00h 1 49 -3.7310791e+03 2.15e-08 9.75e-05 -7.8 7.28e+00 - 1.00e+00 9.96e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 50 -3.7310792e+03 1.25e-08 4.31e-05 -8.1 1.24e+01 - 9.99e-01 1.00e+00h 1 51 -3.7310793e+03 9.03e-09 2.62e-05 -8.5 1.47e+01 - 1.00e+00 9.93e-01h 1 52 -3.7310793e+03 2.01e-09 7.22e-06 -8.8 9.43e+00 - 1.00e+00 1.00e+00h 1 53 -3.7310793e+03 1.35e-09 8.82e-06 -9.2 1.09e+01 - 1.00e+00 8.69e-01h 1 54 -3.7310793e+03 9.31e-10 2.38e-06 -9.5 1.93e+01 - 1.00e+00 9.96e-01h 1 55 -3.7310793e+03 1.48e-10 5.28e-07 -9.8 7.07e+00 - 9.99e-01 1.00e+00h 1 56 -3.7310793e+03 1.21e-10 9.64e-07 -10.3 9.63e+00 - 1.00e+00 8.75e-01h 1 57 -3.7310793e+03 8.07e-11 1.87e-07 -10.5 1.86e+01 - 1.00e+00 1.00e+00h 1 58 -3.7310793e+03 2.31e-11 4.81e-08 -10.8 8.78e+00 - 1.00e+00 1.00e+00h 1 59 -3.7310793e+03 4.15e-12 6.05e-09 -11.0 6.92e+00 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 59 (scaled) (unscaled) Objective...............: -3.7310792965581413e+03 -3.7310792965581413e+03 Dual infeasibility......: 6.0546703825064439e-09 6.0546703825064439e-09 Constraint violation....: 3.4694469519536142e-18 3.4694469519536142e-18 Complementarity.........: 1.5287045851334558e-11 1.5287045851334558e-11 Overall NLP error.......: 6.0546703825064439e-09 6.0546703825064439e-09 Number of objective function evaluations = 60 Number of objective gradient evaluations = 60 Number of equality constraint evaluations = 60 Number of inequality constraint evaluations = 60 Number of equality constraint Jacobian evaluations = 60 Number of inequality constraint Jacobian evaluations = 60 Number of Lagrangian Hessian evaluations = 59 Total CPU secs in IPOPT (w/o function evaluations) = 4.444 Total CPU secs in NLP function evaluations = 8.905 EXIT: Optimal Solution Found. GAMS/Ipopt finished. --- Restarting execution --- ex8_2_3b.gms(34733) 0 Mb --- Reading solution for model m *** Status: Normal completion --- Job ex8_2_3b.gms Stop 09/21/08 02:26:19 elapsed 0:00:15.530