--- Job ex8_2_2b Start 09/21/08 02:25:45 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_2b.gms(16063) 5 Mb --- Starting execution: elapsed 0:00:00.263 --- ex8_2_2b.gms(16059) 5 Mb --- Generating NLP model m --- ex8_2_2b.gms(16063) 10 Mb --- 1,960 rows 7,523 columns 22,675 non-zeroes --- 69,560 nl-code 15,018 nl-non-zeroes --- ex8_2_2b.gms(16063) 8 Mb --- Executing IPOPT: elapsed 0:00:00.559 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...: 24 Number of nonzeros in inequality constraint Jacobian.: 15144 Number of nonzeros in Lagrangian Hessian.............: 7510 Total number of variables............................: 7522 variables with only lower bounds: 0 variables with lower and upper bounds: 7522 variables with only upper bounds: 0 Total number of equality constraints.................: 12 Total number of inequality constraints...............: 1947 inequality constraints with only lower bounds: 72 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 1875 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 -1.1699553e+03 1.36e-01 7.59e+01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 -1.1680953e+03 1.35e-01 2.46e+02 0.4 3.61e+00 - 2.83e-02 3.99e-03f 1 2 -1.1565282e+03 1.34e-01 3.23e+02 1.1 1.37e+01 - 7.49e-03 5.76e-03f 1 3 -1.1433534e+03 1.33e-01 2.77e+03 1.1 1.38e+01 - 3.59e-02 7.75e-03f 1 4 -1.1212557e+03 1.31e-01 1.15e+04 1.1 1.44e+01 - 4.63e-02 1.88e-02f 1 5 -1.0074132e+03 1.16e-01 1.02e+05 1.1 1.51e+01 - 2.79e-01 1.17e-01f 1 6 -7.2585419e+02 6.89e-02 3.50e+06 1.1 2.10e+01 - 1.69e-02 5.02e-01f 1 7 -5.2015149e+02 3.49e-02 6.69e+06 1.1 1.60e+01 - 1.64e-02 6.28e-01f 1 8 -6.3989370e+02 2.60e-02 4.83e+06 -4.8 1.02e+01 - 6.17e-01 2.78e-01f 1 9 -6.1324723e+02 2.18e-02 4.00e+06 -5.2 1.63e+01 - 5.78e-01 1.72e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 -4.9694168e+02 1.48e-02 2.58e+06 -0.9 1.89e+01 - 1.37e-01 3.54e-01h 1 11 -4.4816375e+02 1.27e-02 2.21e+06 -0.3 1.18e+01 - 1.52e-01 1.45e-01h 3 12 -4.3237522e+02 1.18e-02 2.05e+06 -0.3 1.33e+01 - 4.00e-01 7.04e-02h 4 13 -3.8651512e+02 9.78e-03 1.69e+06 -0.2 1.99e+01 - 4.57e-01 1.79e-01f 3 14 -7.0813376e+01 6.29e-03 2.68e+03 -0.1 2.25e+01 - 9.29e-01 1.00e+00f 1 15 -3.0074201e+01 3.12e-03 8.20e+03 -0.1 7.57e+00 - 1.00e+00 5.07e-01h 1 16 2.6769080e+01 4.00e-04 7.76e+00 -0.1 4.20e+00 - 1.00e+00 1.00e+00h 1 17 -5.2248799e+00 4.76e-04 1.15e+03 -0.2 2.30e+00 - 8.27e-01 9.60e-01f 1 18 -4.4276870e+01 3.60e-04 1.50e+00 -0.2 1.00e+00 - 1.00e+00 1.00e+00f 1 19 -1.5488937e+02 4.34e-03 5.23e+03 -2.3 8.85e+00 - 2.04e-01 4.43e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 20 -1.8639003e+02 4.89e-04 3.99e+00 -0.4 9.04e-01 - 1.00e+00 1.00e+00f 1 21 -3.8691738e+02 1.31e-02 5.91e+02 -6.4 8.35e+00 - 2.39e-01 5.79e-01f 1 22 -3.4481535e+02 3.13e-03 1.86e+02 -0.6 6.84e+00 - 4.82e-01 1.00e+00h 1 23 -4.1691472e+02 9.20e-03 1.37e+02 -1.0 3.03e+01 - 1.00e+00 5.19e-01f 1 24 -4.2665176e+02 7.96e-03 1.16e+02 -1.0 1.46e+01 - 2.07e-01 1.42e-01f 1 25 -4.3378064e+02 1.11e-03 3.73e+01 -1.0 8.75e+00 - 5.54e-01 9.90e-01f 1 26 -4.3206673e+02 1.07e-03 1.13e+02 -0.8 1.27e+01 - 9.20e-01 4.02e-02f 1 27 -4.3372111e+02 6.64e-04 1.79e+01 -0.9 3.16e+00 - 9.93e-01 4.86e-01f 1 28 -4.4517041e+02 2.06e-03 6.86e+01 -0.9 1.29e+01 - 6.86e-01 4.49e-01f 2 29 -4.4642492e+02 1.26e-05 6.68e-01 -1.0 8.92e-01 - 9.84e-01 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 30 -4.6120469e+02 1.51e-03 1.42e+01 -1.4 2.76e+01 - 3.28e-01 2.09e-01f 1 31 -4.6912382e+02 7.05e-04 6.56e+00 -1.1 4.19e+00 - 9.74e-01 1.00e+00f 1 32 -4.8460527e+02 2.28e-03 3.59e+00 -1.1 7.29e+00 - 9.75e-01 1.00e+00f 1 33 -4.9327460e+02 1.96e-03 6.84e+00 -1.2 8.48e+00 - 8.02e-01 4.44e-01f 1 34 -5.0227359e+02 1.04e-03 9.59e+00 -1.2 3.72e+00 - 4.75e-01 1.00e+00f 1 35 -5.0944500e+02 1.26e-03 1.53e+01 -1.4 1.10e+01 - 9.95e-01 2.85e-01f 1 36 -5.0594525e+02 1.21e-03 6.85e+00 -1.1 1.08e+01 - 3.01e-01 1.38e-01f 1 37 -5.0655411e+02 1.19e-03 1.53e+01 -1.5 1.32e+01 - 4.39e-01 1.92e-02f 1 38 -5.1554591e+02 2.02e-03 1.44e+01 -1.6 3.10e+01 - 2.03e-01 1.81e-01f 1 39 -5.2296993e+02 1.95e-03 6.52e+01 -1.5 1.71e+01 - 2.51e-01 5.60e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 40 -5.2814909e+02 5.63e-04 1.19e+01 -1.4 4.73e+00 - 7.13e-01 1.00e+00f 1 41 -5.3003784e+02 4.36e-04 8.70e+00 -1.6 1.10e+01 - 9.98e-01 1.51e-01f 1 42 -5.3436761e+02 7.25e-04 4.56e+00 -1.6 4.73e+00 - 9.91e-01 1.00e+00f 1 43 -5.3616438e+02 3.26e-04 6.08e+00 -1.7 4.20e+00 - 9.73e-01 6.42e-01f 1 44 -5.3719097e+02 3.89e-05 1.12e+00 -1.7 1.41e+00 - 9.85e-01 1.00e+00f 1 45 -5.3932979e+02 1.36e-04 2.58e+00 -1.8 3.15e+00 - 7.91e-01 1.00e+00f 1 46 -5.4015115e+02 1.08e-04 1.67e+00 -1.8 3.28e+00 - 9.72e-01 4.42e-01h 1 47 -5.4233037e+02 3.10e-04 1.63e+00 -1.8 4.55e+00 - 9.67e-01 1.00e+00f 1 48 -5.4352523e+02 5.50e-05 8.07e-01 -1.8 1.95e+00 - 9.22e-01 1.00e+00h 1 49 -5.4470096e+02 7.35e-05 5.39e-01 -1.9 3.07e+00 - 9.47e-01 6.80e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 50 -5.4527908e+02 7.85e-05 5.39e+00 -2.0 6.96e+00 - 9.28e-01 1.48e-01f 1 51 -5.4935451e+02 5.61e-04 3.07e+00 -2.5 1.43e+01 - 9.97e-01 1.00e+00f 1 52 -5.5129141e+02 2.65e-04 6.32e-01 -3.0 2.03e+01 - 1.00e+00 9.75e-01f 1 53 -5.5189885e+02 7.19e-05 3.33e-01 -3.3 1.88e+01 - 9.96e-01 1.00e+00f 1 54 -5.5230237e+02 1.60e-05 2.45e-01 -3.8 1.29e+01 - 1.00e+00 1.00e+00f 1 55 -5.5250740e+02 2.24e-05 5.84e-02 -4.3 2.12e+01 - 9.99e-01 9.06e-01f 1 56 -5.5259529e+02 1.35e-05 3.47e-02 -4.6 2.44e+01 - 1.00e+00 9.85e-01f 1 57 -5.5262622e+02 4.57e-06 6.62e-03 -4.9 1.39e+01 - 9.99e-01 1.00e+00h 1 58 -5.5264853e+02 5.18e-06 9.92e-03 -5.4 1.38e+01 - 9.97e-01 9.05e-01h 1 59 -5.5265824e+02 3.94e-06 2.13e-03 -5.7 2.18e+01 - 9.98e-01 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 60 -5.5266293e+02 4.35e-07 1.16e-03 -6.1 1.53e+01 - 1.00e+00 9.88e-01h 1 61 -5.5266447e+02 2.82e-08 2.32e-04 -6.4 1.69e+01 - 1.00e+00 1.00e+00h 1 62 -5.5266557e+02 1.08e-07 3.22e-04 -6.9 1.47e+01 - 1.00e+00 9.98e-01h 1 63 -5.5266598e+02 1.01e-07 4.82e-05 -7.3 2.26e+01 - 1.00e+00 1.00e+00h 1 64 -5.5266614e+02 4.47e-08 2.48e-05 -7.7 1.69e+01 - 1.00e+00 1.00e+00h 1 65 -5.5266621e+02 6.80e-09 1.25e-05 -8.1 1.96e+01 - 9.98e-01 1.00e+00h 1 66 -5.5266624e+02 2.57e-09 2.25e-06 -8.5 2.06e+01 - 1.00e+00 1.00e+00h 1 67 -5.5266625e+02 1.25e-09 1.34e-06 -8.9 1.88e+01 - 1.00e+00 1.00e+00h 1 68 -5.5266626e+02 3.67e-10 2.10e-07 -9.3 2.04e+01 - 1.00e+00 1.00e+00h 1 69 -5.5266626e+02 1.14e-10 3.93e-07 -9.8 1.58e+01 - 9.96e-01 9.23e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 70 -5.5266626e+02 4.31e-11 7.50e-08 -10.2 2.50e+01 - 9.99e-01 1.00e+00h 1 71 -5.5266626e+02 1.46e-11 1.55e-08 -10.6 2.01e+01 - 9.98e-01 1.00e+00h 1 72 -5.5266626e+02 3.52e-12 4.31e-09 -11.0 1.45e+01 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 72 (scaled) (unscaled) Objective...............: -5.5266625954447954e+02 -5.5266625954447954e+02 Dual infeasibility......: 4.3057128359331792e-09 4.3057128359331792e-09 Constraint violation....: 1.0408340855860843e-17 1.0408340855860843e-17 Complementarity.........: 1.4803631951931038e-11 1.4803631951931038e-11 Overall NLP error.......: 4.3057128359331792e-09 4.3057128359331792e-09 Number of objective function evaluations = 89 Number of objective gradient evaluations = 73 Number of equality constraint evaluations = 89 Number of inequality constraint evaluations = 89 Number of equality constraint Jacobian evaluations = 73 Number of inequality constraint Jacobian evaluations = 73 Number of Lagrangian Hessian evaluations = 72 Total CPU secs in IPOPT (w/o function evaluations) = 1.728 Total CPU secs in NLP function evaluations = 2.792 EXIT: Optimal Solution Found. GAMS/Ipopt finished. --- Restarting execution --- ex8_2_2b.gms(16063) 0 Mb --- Reading solution for model m *** Status: Normal completion --- Job ex8_2_2b.gms Stop 09/21/08 02:25:51 elapsed 0:00:05.600