--- Job ex8_2_5a Start 09/21/08 02:26:19 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_5a.gms(19389) 4 Mb --- Starting execution: elapsed 0:00:00.316 --- ex8_2_5a.gms(19385) 5 Mb --- Generating NLP model m --- ex8_2_5a.gms(19389) 9 Mb --- 3,775 rows 2,511 columns 32,555 non-zeroes --- 183,827 nl-code 30,006 nl-non-zeroes --- ex8_2_5a.gms(19389) 6 Mb --- Executing IPOPT: elapsed 0:00:00.622 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...: 0 Number of nonzeros in inequality constraint Jacobian.: 30048 Number of nonzeros in Lagrangian Hessian.............: 2510 Total number of variables............................: 2510 variables with only lower bounds: 0 variables with lower and upper bounds: 2510 variables with only upper bounds: 0 Total number of equality constraints.................: 0 Total number of inequality constraints...............: 3774 inequality constraints with only lower bounds: 24 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 3750 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 -1.1699553e+03 1.99e+01 1.45e+01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 -2.6819966e+02 7.26e+00 1.13e+02 0.4 3.25e+00 - 3.12e-01 9.97e-01f 1 2 -4.7489539e+02 6.63e+00 1.11e+02 0.9 1.82e+02 - 1.49e-01 1.16e-01f 1 3 -5.2633554e+02 5.96e+00 8.28e+01 0.7 1.17e+02 - 3.14e-01 1.30e-01f 1 4 -5.2535767e+02 4.99e+00 6.69e+01 0.1 5.43e+01 - 5.03e-01 1.82e-01f 1 5 -3.3385192e+02 3.09e+00 1.02e+02 -0.2 2.20e+01 - 4.96e-01 5.00e-01f 1 6 -1.1738337e+01 1.93e+00 1.21e+02 -0.1 6.10e+01 - 6.22e-01 4.48e-01f 1 7 -1.3234161e+02 2.63e-01 8.53e+00 -0.3 4.98e+01 - 9.30e-01 8.64e-01h 1 8 -2.1185161e+02 1.76e-02 3.17e+00 -0.4 1.96e+01 - 9.94e-01 1.00e+00f 1 9 -4.7215889e+02 1.35e-01 6.27e+01 -0.7 9.21e+00 - 2.13e-01 9.94e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 -6.2529442e+02 6.79e-02 8.59e-01 -0.9 4.61e+00 - 9.90e-01 1.00e+00f 1 11 -7.6807610e+02 1.10e-01 7.47e+00 -2.9 1.10e+01 - 5.43e-01 4.37e-01f 1 12 -7.6902627e+02 1.05e-01 7.25e+00 -1.1 6.06e+00 - 5.60e-01 4.07e-02h 1 13 -7.9990712e+02 5.78e-02 4.81e+00 -1.2 2.68e+01 - 9.84e-01 4.76e-01f 1 14 -7.9512496e+02 5.13e-04 7.31e+00 -1.2 2.59e+00 - 4.81e-01 1.00e+00h 1 15 -8.0337561e+02 4.69e-04 3.04e+00 -1.2 5.01e+00 - 8.97e-01 6.52e-01f 1 16 -8.0213354e+02 7.93e-05 7.07e-01 -1.2 1.25e+00 - 8.91e-01 1.00e+00f 1 17 -8.0746483e+02 2.07e-04 6.43e-01 -1.6 2.36e+01 - 1.21e-01 8.67e-02f 1 18 -8.1752607e+02 1.25e-03 2.06e+01 -1.4 3.30e+00 - 1.72e-01 9.85e-01f 1 19 -8.1906036e+02 1.16e-03 2.03e+01 -1.4 1.09e+01 - 1.00e+00 7.05e-02f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 20 -8.1926066e+02 3.01e-04 2.31e-01 -1.4 2.90e+00 - 9.99e-01 1.00e+00f 1 21 -8.2220059e+02 1.63e-03 2.00e+01 -1.9 1.02e+01 - 9.94e-01 4.54e-01f 1 22 -8.2345894e+02 9.88e-04 3.73e-02 -1.6 1.09e+01 - 1.00e+00 1.00e+00h 1 23 -8.2667078e+02 2.99e-03 5.68e+00 -2.1 9.30e+00 - 7.35e-01 1.00e+00f 1 24 -8.2799081e+02 5.31e-04 4.63e-02 -2.3 1.39e+01 - 1.00e+00 1.00e+00h 1 25 -8.2900545e+02 4.08e-04 1.39e+00 -2.8 1.32e+01 - 9.88e-01 7.00e-01f 1 26 -8.2963482e+02 1.20e-03 4.52e-01 -3.1 3.60e+01 - 9.98e-01 8.23e-01f 1 27 -8.3001247e+02 2.73e-04 5.87e-02 -3.4 3.34e+01 - 1.00e+00 9.42e-01h 1 28 -8.3015002e+02 6.92e-05 9.95e-02 -3.8 1.32e+01 - 9.95e-01 7.69e-01h 1 29 -8.3024154e+02 1.01e-04 2.61e-02 -4.1 2.72e+01 - 1.00e+00 8.86e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 30 -8.3029517e+02 2.71e-05 4.64e-03 -4.4 3.80e+01 - 1.00e+00 9.42e-01h 1 31 -8.3031456e+02 6.36e-06 7.03e-03 -4.8 1.46e+01 - 9.98e-01 7.91e-01h 1 32 -8.3032614e+02 8.70e-06 3.13e-03 -5.2 2.36e+01 - 9.97e-01 8.39e-01h 1 33 -8.3033288e+02 3.32e-06 8.46e-04 -5.5 4.49e+01 - 9.94e-01 8.94e-01h 1 34 -8.3033536e+02 7.52e-07 5.94e-04 -5.9 1.72e+01 - 9.95e-01 8.25e-01h 1 35 -8.3033678e+02 8.58e-07 2.10e-04 -6.2 2.06e+01 - 1.00e+00 8.83e-01h 1 36 -8.3033747e+02 2.97e-07 4.05e-05 -6.5 4.09e+01 - 9.81e-01 9.14e-01h 1 37 -8.3033777e+02 7.18e-08 5.21e-05 -6.9 1.79e+01 - 9.99e-01 8.46e-01h 1 38 -8.3033791e+02 6.53e-08 4.06e-05 -7.3 2.01e+01 - 9.96e-01 7.52e-01h 1 39 -8.3033800e+02 4.86e-08 1.22e-05 -7.6 4.49e+01 - 1.00e+00 8.51e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 40 -8.3033804e+02 1.01e-08 5.58e-06 -7.9 2.35e+01 - 1.00e+00 8.29e-01h 1 41 -8.3033805e+02 8.00e-09 1.75e-06 -8.3 1.79e+01 - 1.00e+00 8.87e-01h 1 42 -8.3033806e+02 3.92e-09 7.56e-07 -8.7 4.05e+01 - 1.00e+00 8.68e-01h 1 43 -8.3033806e+02 8.66e-10 5.03e-07 -9.1 2.13e+01 - 9.95e-01 7.59e-01h 1 44 -8.3033807e+02 5.77e-10 2.62e-07 -9.4 2.02e+01 - 9.98e-01 7.90e-01h 1 45 -8.3033807e+02 3.44e-10 8.44e-08 -9.8 4.85e+01 - 1.00e+00 8.55e-01h 1 46 -8.3033807e+02 6.20e-11 3.30e-08 -10.1 2.39e+01 - 9.94e-01 8.39e-01h 1 47 -8.3033807e+02 1.85e-11 3.12e-08 -10.7 7.25e+00 - 1.00e+00 7.70e-01h 1 48 -8.3033807e+02 5.78e-12 1.56e-09 -11.0 4.26e+00 - 1.00e+00 9.70e-01h 1 Number of Iterations....: 48 (scaled) (unscaled) Objective...............: -8.3033806723526618e+02 -8.3033806723526618e+02 Dual infeasibility......: 1.5600534197801608e-09 1.5600534197801608e-09 Constraint violation....: 0.0000000000000000e+00 0.0000000000000000e+00 Complementarity.........: 1.6132489618621932e-11 1.6132489618621932e-11 Overall NLP error.......: 1.5600534197801608e-09 1.5600534197801608e-09 Number of objective function evaluations = 49 Number of objective gradient evaluations = 49 Number of equality constraint evaluations = 0 Number of inequality constraint evaluations = 49 Number of equality constraint Jacobian evaluations = 0 Number of inequality constraint Jacobian evaluations = 49 Number of Lagrangian Hessian evaluations = 48 Total CPU secs in IPOPT (w/o function evaluations) = 0.992 Total CPU secs in NLP function evaluations = 2.752 EXIT: Optimal Solution Found. GAMS/Ipopt finished. --- Restarting execution --- ex8_2_5a.gms(19389) 0 Mb --- Reading solution for model m *** Status: Normal completion --- Job ex8_2_5a.gms Stop 09/21/08 02:26:23 elapsed 0:00:04.873