--- Job arki0004 Start 09/20/08 23:47:00 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 --- arki0004.gms(9160) 3 Mb --- Starting execution: elapsed 0:00:00.146 --- arki0004.gms(9156) 4 Mb --- Generating NLP model m --- arki0004.gms(9160) 6 Mb --- 2,082 rows 2,091 columns 14,565 non-zeroes --- 61,363 nl-code 10,400 nl-non-zeroes --- arki0004.gms(9160) 4 Mb --- Executing IPOPT: elapsed 0:00:00.328 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...: 12480 Number of nonzeros in inequality constraint Jacobian.: 4 Number of nonzeros in Lagrangian Hessian.............: 7282 Total number of variables............................: 2090 variables with only lower bounds: 0 variables with lower and upper bounds: 1047 variables with only upper bounds: 0 Total number of equality constraints.................: 2080 Total number of inequality constraints...............: 1 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 1.0400000e+03 4.47e+00 4.83e+00 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 1.6846801e+03 4.10e+00 5.13e+01 1.1 1.37e+01 0.0 1.00e+00 8.24e-02f 1 2 1.5183396e+03 5.32e+00 3.17e+02 -4.8 5.69e+00 - 6.98e-02 1.86e-01f 1 3 1.5526369e+03 4.25e+00 2.43e+02 1.1 2.65e+00 1.3 3.16e-01 2.09e-01f 1 4 1.7473700e+03 9.52e-01 6.92e+02 0.7 2.08e+00 1.8 9.91e-01 8.17e-01h 1 5 1.7182575e+03 5.68e-01 6.37e+02 0.9 1.01e+00 1.3 1.00e+00 4.08e-01f 1 6 1.5764584e+03 1.34e-01 9.72e+02 0.7 9.74e-01 0.8 7.86e-01 7.67e-01f 1 7 1.3910771e+03 2.76e-02 1.32e+03 0.5 8.39e-01 0.3 7.27e-01 1.00e+00f 1 8 1.3789208e+03 2.03e-02 9.39e+02 0.2 4.49e-01 0.7 1.00e+00 2.78e-01f 1 9 1.3692749e+03 6.73e-03 2.87e+02 0.2 2.22e-01 1.2 9.97e-01 6.89e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 1.3028911e+03 5.67e-04 3.07e+02 -0.6 1.34e-01 0.7 9.24e-01 1.00e+00f 1 11 1.1541784e+03 8.03e-03 3.18e+02 -1.2 2.19e-01 0.2 9.34e-01 1.00e+00f 1 12 8.7085261e+02 7.16e-02 2.03e+03 -0.5 9.69e-01 -0.3 1.00e+00 1.00e+00f 1 13 8.6860741e+02 6.16e-02 1.60e+03 -0.6 7.29e-01 1.1 1.00e+00 2.06e-01h 1 14 8.5602436e+02 4.21e-02 1.99e+03 -1.1 6.40e-01 0.6 1.00e+00 3.36e-01f 1 15 7.9519512e+02 3.70e-02 2.00e+03 -1.6 1.96e+00 0.1 1.00e+00 3.41e-01f 1 16 8.0351338e+02 2.42e-02 3.93e+03 -0.2 1.79e+00 -0.4 6.99e-01 4.91e-01h 2 17 7.3440307e+02 1.49e-02 3.02e+03 -1.0 8.83e-01 0.1 1.00e+00 5.07e-01f 1 18 7.9057446e+02 1.40e-02 3.02e+03 0.4 6.15e+00 -0.4 2.59e-01 4.10e-02f 1 19 6.9566798e+02 1.12e-02 2.49e+03 -1.0 2.06e+00 -0.9 1.00e+00 2.07e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 20 5.2035681e+02 1.09e+00 1.23e+03 -0.3 4.30e+01 - 1.00e+00 1.00e+00h 1 21 4.9759518e+02 4.12e+00 1.68e+03 -6.3 9.82e+01 - 2.11e-01 1.00e+00f 1 22 3.8641123e+02 3.31e+00 3.21e+03 0.6 1.28e+01 -1.4 1.00e+00 3.63e-01f 1 23 5.7406480e+02 2.59e+00 9.38e+04 1.3 1.26e+02 -1.8 1.00e+00 3.07e-01f 1 24 1.1292787e+03 3.61e-01 1.56e+05 1.0 4.10e+01 - 2.16e-01 5.66e-01f 1 25 1.1306112e+03 3.43e-04 1.23e+03 0.3 8.40e-02 2.2 1.00e+00 1.00e+00f 1 26 1.1285741e+03 2.05e-05 8.76e+00 -1.3 9.64e-03 1.7 1.00e+00 1.00e+00f 1 27 1.1221305e+03 8.63e-05 1.50e+00 -1.9 2.54e-02 1.2 1.00e+00 1.00e+00f 1 28 1.1019215e+03 9.96e-04 3.94e-01 -3.2 6.68e-02 0.8 1.00e+00 1.00e+00f 1 29 1.0676487e+03 3.20e-03 1.34e+00 -4.5 2.06e-01 0.3 1.00e+00 5.21e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 30 1.0443199e+03 2.91e-03 5.47e+00 -5.3 7.09e-01 -0.2 1.00e+00 9.80e-02f 1 31 8.8727703e+02 3.28e-03 3.07e+01 -2.7 4.57e+00 -0.7 6.78e-01 1.07e-01f 1 32 7.5292936e+02 1.42e-03 7.65e+00 -3.0 1.06e+00 -0.2 2.97e-01 3.16e-01f 1 33 6.2071066e+02 1.56e-03 1.75e+02 -2.2 1.34e+01 -0.7 1.00e+00 2.41e-02f 1 34 5.3385894e+02 2.77e-03 1.50e+04 -0.5 2.75e+01 -1.2 1.00e+00 1.16e-02f 1 35 4.0397593e+02 1.10e-01 2.15e+03 -1.8 6.90e+00 -1.7 1.00e+00 3.49e-01f 2 36 8.6364040e+02 2.83e-01 7.29e+02 0.1 1.36e+01 -2.1 8.41e-01 1.00e+00f 1 37 8.6614028e+02 2.83e-01 6.51e+02 0.1 1.66e+01 0.1 3.91e-02 3.63e-02h 1 38 9.1779591e+02 1.87e-01 1.36e+03 0.1 8.14e-01 -0.4 1.00e+00 3.35e-01f 1 39 1.1052370e+03 2.04e-01 1.22e+03 0.1 5.17e+00 -0.9 3.64e-01 4.49e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 40 1.5486854e+03 3.80e+00 2.50e+03 0.1 6.20e+01 - 1.00e+00 7.35e-01f 1 41 2.1816082e+03 5.48e-02 1.32e+04 0.1 4.78e+00 -1.3 3.15e-01 1.00e+00f 1 42 2.3980140e+03 2.73e-01 3.40e+03 0.1 3.14e+00 -1.8 1.00e+00 1.00e+00f 1 43 2.6432533e+03 1.01e+00 2.70e+02 0.1 6.23e+00 -2.3 9.19e-01 1.00e+00f 1 44 2.8851721e+03 2.50e+01 4.77e+02 0.1 1.01e+02 -2.8 9.32e-02 9.92e-01f 1 45 2.8997034e+03 6.51e+00 2.58e+01 0.1 2.04e+01 -1.4 1.00e+00 9.19e-01h 1 46 2.9340474e+03 2.58e+00 3.42e+02 0.1 8.94e+00 -1.9 1.00e+00 9.49e-01f 1 47 2.9988915e+03 1.72e+00 2.37e+02 0.1 9.94e+00 -2.4 8.41e-01 1.00e+00f 1 48 2.9999750e+03 2.83e+00 1.90e+02 0.1 3.04e+03 -2.9 5.40e-03 3.07e-03f 2 49 3.0442399e+03 5.10e+00 3.60e+01 0.1 1.49e+01 -2.5 7.57e-01 9.36e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 50 3.0466069e+03 2.39e+00 3.37e+02 0.1 6.62e+00 -1.1 1.00e+00 9.13e-01f 1 51 3.0531649e+03 2.26e+00 5.24e+02 0.1 5.90e+00 -1.6 1.00e+00 8.21e-01h 1 52 3.0551634e+03 4.26e-01 1.78e+02 0.1 2.66e+00 -1.2 8.92e-01 1.00e+00f 1 53 3.0595570e+03 5.91e+00 1.31e+02 0.1 1.08e+01 -1.7 1.00e+00 5.75e-01f 1 54 3.0620206e+03 1.00e+00 4.78e+01 0.1 2.55e+00 -1.2 1.00e+00 1.00e+00f 1 55 3.0691751e+03 1.88e+00 1.73e+01 0.1 5.31e+00 -1.7 1.00e+00 1.00e+00f 1 56 3.0718009e+03 1.09e+00 5.05e+00 0.1 2.14e+00 -1.3 1.00e+00 1.00e+00h 1 57 2.9453511e+03 1.37e-01 1.84e+00 -0.6 2.30e+00 -1.8 1.00e+00 1.00e+00f 1 58 1.7902852e+03 9.40e-01 6.08e-01 -1.3 1.53e+01 -2.2 1.00e+00 7.55e-01f 1 59 1.3864719e+03 3.91e-02 2.24e+00 -1.3 1.82e+00 -0.9 1.00e+00 1.00e+00f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 60 1.1985125e+03 1.33e-02 1.55e+01 -1.3 9.77e-01 -0.5 1.00e+00 6.53e-01f 1 61 4.2803427e+02 8.90e-02 7.72e+02 -1.3 1.73e+01 -1.0 7.96e-01 1.11e-01f 1 62 3.9647614e+02 1.11e+00 7.27e+02 -1.3 1.18e+01 -1.4 1.85e-01 2.83e-01f 1 63 3.9008540e+02 1.11e+00 1.09e+02 -1.3 3.05e+01 -1.9 5.84e-01 8.87e-02f 1 64 3.7996400e+02 2.51e+00 3.49e+02 -1.3 5.94e+00 -1.5 1.80e-02 9.70e-01f 1 65 3.6103056e+02 2.63e+01 2.17e+02 -0.7 4.78e+01 -2.0 1.00e+00 4.09e-01f 1 66 3.6293009e+02 2.54e+01 8.55e+02 -0.0 1.37e+01 -1.5 1.00e+00 3.23e-02f 1 67 3.5643958e+02 2.43e+01 1.11e+03 -0.8 1.56e+02 - 3.70e-01 9.58e-02f 1 68 3.9981953e+02 2.59e+01 6.84e+03 0.7 7.52e+01 - 8.98e-01 1.21e-01f 1 69 4.4945578e+02 2.57e+01 5.11e+03 0.5 3.00e+01 - 2.53e-01 2.74e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 70 6.9885645e+02 4.57e+01 2.84e+03 0.5 1.90e+01 - 3.79e-01 1.00e+00f 1 71 1.0300409e+03 2.10e+01 2.57e+03 0.5 1.33e+01 - 5.52e-01 1.00e+00f 1 72 1.5145765e+03 5.71e+00 4.40e+01 0.5 2.01e+01 - 9.53e-01 1.00e+00f 1 73 1.9279286e+03 3.99e+00 2.95e+01 0.5 8.45e+00 -1.1 3.76e-01 3.14e-01f 1 74 1.8917560e+03 7.08e-02 1.91e+02 -0.2 3.58e+00 -0.7 1.73e-01 1.00e+00f 1 75 1.8006694e+03 9.01e-03 4.53e+01 -0.2 6.67e-01 -1.2 8.91e-01 1.00e+00f 1 76 1.2822966e+03 8.11e-02 4.05e+01 -0.2 5.37e+01 - 4.54e-02 4.89e-02f 2 77 5.6741159e+02 2.78e-01 2.02e+01 -0.2 4.40e+00 -1.6 1.00e+00 6.21e-01f 1 78 7.2430634e+02 7.47e-03 2.23e+01 -0.2 1.96e+00 - 1.00e+00 1.00e+00f 1 79 7.7369267e+02 1.34e-01 5.41e+00 -0.2 3.37e+00 - 1.00e+00 1.00e+00f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 80 4.5018164e+02 8.71e-01 1.95e+01 -0.9 3.61e+01 - 7.98e-01 2.93e-01f 1 81 3.3851116e+02 1.16e-01 7.53e+01 -0.9 3.52e+00 - 3.61e-01 1.00e+00f 1 82 3.3095894e+02 2.76e-03 8.72e+00 -1.0 9.16e-01 - 9.99e-01 1.00e+00f 1 83 3.2485173e+02 5.24e-03 2.31e+00 -1.3 4.04e-01 - 9.61e-01 1.00e+00f 1 84 3.2348071e+02 4.39e-04 4.66e-01 -3.4 1.08e-01 - 9.97e-01 9.27e-01f 1 85 3.2346707e+02 1.40e-06 1.56e-03 -4.4 6.49e-03 - 1.00e+00 1.00e+00h 1 86 3.2346704e+02 2.05e-09 2.78e-06 -10.4 1.59e-04 - 9.98e-01 9.98e-01h 1 87 3.2346704e+02 1.56e-15 1.11e-12 -11.0 2.50e-07 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 87 (scaled) (unscaled) Objective...............: 3.2346703883199643e+02 3.2346703883199643e+02 Dual infeasibility......: 1.1113072670544545e-12 1.1113072670544545e-12 Constraint violation....: 1.5612511283791264e-15 1.5612511283791264e-15 Complementarity.........: 1.0008882095806066e-11 1.0008882095806066e-11 Overall NLP error.......: 1.0008882095806066e-11 1.0008882095806066e-11 Number of objective function evaluations = 100 Number of objective gradient evaluations = 88 Number of equality constraint evaluations = 100 Number of inequality constraint evaluations = 100 Number of equality constraint Jacobian evaluations = 88 Number of inequality constraint Jacobian evaluations = 88 Number of Lagrangian Hessian evaluations = 87 Total CPU secs in IPOPT (w/o function evaluations) = 1.324 Total CPU secs in NLP function evaluations = 4.132 EXIT: Optimal Solution Found. GAMS/Ipopt finished. --- Restarting execution --- arki0004.gms(9160) 0 Mb --- Reading solution for model m *** Status: Normal completion --- Job arki0004.gms Stop 09/20/08 23:47:06 elapsed 0:00:06.116