--- Job ex8_2_5b Start 09/21/08 05:41:34 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_5b.gms(11965) 4 Mb --- Starting execution: elapsed 0:00:00.211 --- ex8_2_5b.gms(11961) 4 Mb --- Generating NLP model m --- ex8_2_5b.gms(11965) 8 Mb --- 3,799 rows 2,535 columns 32,603 non-zeroes --- 139,043 nl-code 30,030 nl-non-zeroes --- ex8_2_5b.gms(11965) 6 Mb --- Executing IPOPT: elapsed 0:00:00.478 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 = mumps 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 mumps. Number of nonzeros in equality constraint Jacobian...: 48 Number of nonzeros in inequality constraint Jacobian.: 30048 Number of nonzeros in Lagrangian Hessian.............: 15010 Total number of variables............................: 2534 variables with only lower bounds: 0 variables with lower and upper bounds: 2534 variables with only upper bounds: 0 Total number of equality constraints.................: 24 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 1.14e-01 7.59e+01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 -1.1682741e+03 1.13e-01 3.79e+02 0.2 2.48e+00 - 6.34e-02 9.86e-03f 1 2 -1.1670381e+03 1.07e-01 4.19e+02 -5.0 1.25e+00 - 1.86e-02 5.08e-02h 1 3 -1.1646333e+03 1.05e-01 4.13e+02 -5.0 1.55e+00 - 5.35e-02 1.93e-02h 1 4 -1.1446533e+03 9.61e-02 7.45e+02 0.0 4.03e+00 - 1.68e-01 8.92e-02f 1 5 -1.1580084e+03 9.47e-02 1.21e+03 0.8 3.67e+02 - 2.07e-02 1.52e-02f 1 6 -1.1638175e+03 9.00e-02 1.28e+04 0.8 9.34e+01 - 1.36e-02 5.09e-02f 1 7 -1.1727432e+03 8.46e-02 2.81e+04 0.8 8.81e+01 - 2.65e-01 6.19e-02f 1 8 -1.1880333e+03 6.76e-02 4.42e+04 -0.0 6.13e+01 - 1.18e-01 2.20e-01f 1 9 -1.1772950e+03 6.33e-02 4.13e+04 -5.1 5.04e+01 - 9.54e-02 6.56e-02h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 -1.0040282e+03 3.42e-02 1.88e+04 -0.0 4.16e+01 - 3.73e-01 5.73e-01f 1 11 -3.9385916e+02 9.57e-03 2.48e+04 0.3 1.32e+01 - 6.99e-01 1.00e+00f 1 12 -1.1065727e+02 2.98e-03 1.12e+04 0.1 5.19e+01 - 1.00e+00 8.02e-01f 1 13 1.1600674e+02 6.52e-04 2.38e+03 0.4 3.53e+01 - 1.00e+00 1.00e+00f 1 14 1.1840124e+02 3.62e-04 7.55e+03 0.3 1.22e+01 - 1.00e+00 6.61e-01f 1 15 1.1582360e+02 4.87e-04 7.45e+01 0.3 7.27e+00 - 1.00e+00 1.00e+00f 1 16 1.1604172e+02 2.03e-07 3.18e-02 0.3 7.90e-02 - 1.00e+00 1.00e+00f 1 17 4.8588434e+00 2.24e-03 2.12e+04 -1.2 9.43e+00 - 3.43e-01 9.96e-01f 1 18 -4.5269652e+01 2.70e-04 6.36e+03 -0.0 3.89e+00 - 1.00e+00 6.93e-01f 1 19 -4.2427135e+01 1.15e-04 1.81e+00 -0.1 2.13e+00 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 20 -1.2283997e+02 1.36e-03 1.03e+01 -0.3 3.24e+00 - 1.00e+00 1.00e+00f 1 21 -2.0149656e+02 1.70e-03 1.54e+03 -0.4 3.03e+00 - 1.00e+00 7.56e-01f 1 22 -2.4190115e+02 5.21e-04 9.67e-01 -0.4 1.06e+00 - 1.00e+00 1.00e+00f 1 23 -4.1210464e+02 8.53e-03 2.27e+03 -1.1 8.49e+00 - 3.11e-01 5.27e-01f 1 24 -4.7088354e+02 1.65e-03 2.59e+00 -0.6 1.51e+00 - 1.00e+00 1.00e+00h 1 25 -4.7309129e+02 1.81e-05 3.87e-02 -0.6 2.79e-01 - 1.00e+00 1.00e+00h 1 26 -7.8975731e+02 4.11e-02 3.70e+02 -1.4 7.68e+00 - 4.68e-01 9.97e-01f 1 27 -7.3615153e+02 1.84e-03 4.27e+00 -1.0 5.01e+00 - 1.00e+00 1.00e+00h 1 28 -7.6135061e+02 6.75e-04 5.67e+00 -1.1 4.02e+00 - 9.78e-01 6.26e-01f 1 29 -7.9462709e+02 6.86e-03 8.62e+00 -1.2 1.99e+01 - 1.00e+00 6.04e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 30 -7.9339925e+02 1.17e-04 8.14e+00 -1.2 1.39e+00 - 5.60e-01 1.00e+00h 1 31 -8.0249261e+02 7.58e-04 2.05e+01 -1.2 3.55e+00 - 9.68e-01 1.00e+00f 1 32 -8.0275626e+02 4.77e-05 1.46e+00 -1.2 1.15e+00 - 1.00e+00 1.00e+00h 1 33 -8.0746918e+02 1.86e-04 8.62e-01 -1.2 3.53e+00 - 7.19e-01 5.16e-01f 1 34 -8.0857731e+02 1.27e-05 3.30e+00 -1.2 6.78e-01 - 8.83e-01 1.00e+00f 1 35 -8.1380443e+02 3.12e-04 2.22e+00 -1.2 2.34e+00 - 9.17e-01 1.00e+00f 1 36 -8.1658313e+02 2.07e-04 1.41e+00 -1.3 2.21e+00 - 8.53e-01 5.11e-01h 1 37 -8.1943886e+02 2.70e-04 1.13e+01 -1.5 4.55e+00 - 9.76e-01 7.42e-01f 1 38 -8.2293155e+02 1.41e-03 2.43e+01 -1.9 1.29e+01 - 9.94e-01 5.52e-01f 1 39 -8.2354148e+02 5.90e-05 9.87e-02 -1.7 9.83e+00 - 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 40 -8.2605725e+02 1.01e-03 2.06e+00 -2.0 7.43e+00 - 9.15e-01 1.00e+00f 1 41 -8.2799694e+02 7.23e-04 9.73e-01 -2.3 1.67e+01 - 1.00e+00 1.00e+00f 1 42 -8.2899604e+02 3.30e-04 1.97e+00 -2.8 1.33e+01 - 9.98e-01 7.06e-01f 1 43 -8.2962574e+02 8.25e-04 7.64e-01 -3.1 3.46e+01 - 1.00e+00 8.31e-01f 1 44 -8.3001164e+02 1.96e-04 2.84e-01 -3.4 3.38e+01 - 9.99e-01 9.53e-01h 1 45 -8.3014859e+02 4.82e-05 1.38e-01 -3.8 1.34e+01 - 1.00e+00 7.77e-01h 1 46 -8.3023975e+02 6.78e-05 9.95e-02 -4.1 2.64e+01 - 1.00e+00 8.82e-01h 1 47 -8.3029486e+02 1.93e-05 3.47e-02 -4.4 3.85e+01 - 1.00e+00 9.46e-01h 1 48 -8.3031427e+02 4.40e-06 1.26e-02 -4.8 1.45e+01 - 9.99e-01 7.98e-01h 1 49 -8.3032593e+02 5.86e-06 1.01e-02 -5.2 2.26e+01 - 1.00e+00 8.42e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 50 -8.3033265e+02 2.41e-06 4.20e-03 -5.5 4.36e+01 - 1.00e+00 8.84e-01h 1 51 -8.3033529e+02 5.40e-07 1.41e-03 -5.8 1.80e+01 - 1.00e+00 8.36e-01h 1 52 -8.3033675e+02 5.95e-07 9.98e-04 -6.2 1.97e+01 - 1.00e+00 8.92e-01h 1 53 -8.3033744e+02 2.02e-07 2.96e-04 -6.5 3.79e+01 - 1.00e+00 9.41e-01h 1 54 -8.3033777e+02 4.74e-08 1.08e-04 -6.9 1.74e+01 - 1.00e+00 8.98e-01h 1 55 -8.3033790e+02 3.95e-08 7.93e-05 -7.3 1.73e+01 - 1.00e+00 7.57e-01h 1 56 -8.3033800e+02 3.73e-08 4.37e-05 -7.6 3.88e+01 - 1.00e+00 8.68e-01h 1 57 -8.3033803e+02 7.93e-09 1.32e-05 -7.9 2.49e+01 - 1.00e+00 8.29e-01h 1 58 -8.3033805e+02 5.03e-09 1.02e-05 -8.3 1.67e+01 - 1.00e+00 8.33e-01h 1 59 -8.3033806e+02 3.54e-09 3.12e-06 -8.6 3.61e+01 - 1.00e+00 8.86e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 60 -8.3033806e+02 7.18e-10 1.09e-06 -9.0 2.24e+01 - 1.00e+00 7.72e-01h 1 61 -8.3033807e+02 3.72e-10 4.52e-07 -9.4 1.82e+01 - 1.00e+00 7.67e-01h 1 62 -8.3033807e+02 2.92e-10 2.27e-07 -9.7 4.29e+01 - 1.00e+00 8.60e-01h 1 63 -8.3033807e+02 5.49e-11 6.25e-08 -10.1 2.67e+01 - 1.00e+00 8.13e-01h 1 64 -8.3033807e+02 1.93e-11 6.63e-08 -10.6 8.04e+00 - 1.00e+00 6.92e-01h 1 65 -8.3033807e+02 4.30e-12 2.20e-08 -11.0 4.18e+00 - 1.00e+00 8.71e-01h 1 66 -8.3033807e+02 1.26e-12 4.94e-10 -11.0 7.43e+00 - 1.00e+00 1.00e+00f 1 Number of Iterations....: 66 (scaled) (unscaled) Objective...............: -8.3033806723747011e+02 -8.3033806723747011e+02 Dual infeasibility......: 4.9416638867419523e-10 4.9416638867419523e-10 Constraint violation....: 5.2041704279304213e-18 5.2041704279304213e-18 Complementarity.........: 1.0927292009080739e-11 1.0927292009080739e-11 Overall NLP error.......: 4.9416638867419523e-10 4.9416638867419523e-10 Number of objective function evaluations = 67 Number of objective gradient evaluations = 67 Number of equality constraint evaluations = 67 Number of inequality constraint evaluations = 67 Number of equality constraint Jacobian evaluations = 67 Number of inequality constraint Jacobian evaluations = 67 Number of Lagrangian Hessian evaluations = 66 Total CPU secs in IPOPT (w/o function evaluations) = 5.556 Total CPU secs in NLP function evaluations = 9.857 EXIT: Optimal Solution Found. GAMS/Ipopt finished. --- Restarting execution --- ex8_2_5b.gms(11965) 0 Mb --- Reading solution for model m *** Status: Normal completion --- Job ex8_2_5b.gms Stop 09/21/08 05:41:51 elapsed 0:00:16.864