--- Job arki0015 Start 09/21/08 04:13:50 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 --- arki0015.gms(7823) 3 Mb --- Starting execution: elapsed 0:00:00.105 --- arki0015.gms(7819) 4 Mb --- Generating NLP model m --- arki0015.gms(7823) 6 Mb --- 1,497 rows 2,094 columns 6,306 non-zeroes --- 30,476 nl-code 3,841 nl-non-zeroes --- arki0015.gms(7823) 4 Mb --- Executing IPOPT: elapsed 0:00:00.229 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...: 5159 Number of nonzeros in inequality constraint Jacobian.: 0 Number of nonzeros in Lagrangian Hessian.............: 4268 Total number of variables............................: 1980 variables with only lower bounds: 0 variables with lower and upper bounds: 1980 variables with only upper bounds: 0 Total number of equality constraints.................: 1496 Total number of inequality constraints...............: 0 inequality constraints with only lower bounds: 0 inequality constraints with lower and upper bounds: 0 inequality constraints with only upper bounds: 0 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 0 -7.7389395e+01 2.68e+01 4.22e-01 0.0 0.00e+00 - 0.00e+00 0.00e+00 0 1 -2.3125190e+02 3.60e+00 1.09e+01 -3.1 2.99e+01 - 2.67e-01 8.66e-01f 1 2 -2.2139096e+02 2.56e+00 7.63e+00 -3.2 4.32e+00 0.0 3.73e-01 2.89e-01h 1 3 -2.2062285e+02 1.66e+00 1.20e+02 0.5 7.74e+00 0.4 9.91e-01 3.54e-01f 1 4 -2.0915125e+02 3.65e-01 1.41e+01 -0.0 1.79e+00 -0.1 8.53e-01 7.80e-01h 1 5 -2.0547473e+02 9.89e-02 2.28e+00 -1.9 6.54e-01 -0.5 9.10e-01 7.29e-01h 1 6 -2.0449081e+02 5.41e-03 2.39e-01 -2.2 3.03e-01 -0.1 1.00e+00 1.00e+00h 1 7 -2.0680709e+02 1.58e-02 1.63e+00 -2.3 2.92e-01 -0.6 6.31e-01 1.00e+00f 1 8 -2.1301634e+02 8.35e-02 6.19e-01 -1.8 8.42e-01 -1.1 1.00e+00 1.00e+00f 1 9 -2.1408855e+02 4.75e-03 1.78e-01 -2.2 2.29e-01 -0.6 7.97e-01 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 10 -2.1780021e+02 4.08e-02 9.87e-02 -2.4 6.58e-01 -1.1 9.49e-01 1.00e+00f 1 11 -2.1819853e+02 9.71e-01 1.81e-01 -2.4 8.00e+01 -1.6 4.47e-02 3.62e-02f 1 12 -2.2168711e+02 2.84e-01 6.54e-02 -2.4 9.46e-01 -1.2 8.75e-01 7.34e-01f 1 13 -2.2503913e+02 1.75e-01 2.33e-01 -2.6 3.17e+00 -1.6 9.90e-01 3.85e-01f 1 14 -2.2809277e+02 6.95e-02 5.11e-02 -3.2 9.17e-01 -1.2 1.00e+00 9.65e-01f 1 15 -2.2984545e+02 8.40e-02 1.52e-01 -3.5 2.92e+00 -1.7 1.00e+00 2.52e-01f 1 16 -2.3226585e+02 7.24e-02 5.00e-02 -2.8 9.87e-01 -1.3 1.00e+00 9.91e-01f 1 17 -2.3409558e+02 8.92e-02 7.06e-02 -3.1 2.71e+00 -1.7 1.00e+00 3.10e-01f 1 18 -2.3557889e+02 4.95e-02 4.39e-02 -3.2 9.25e-01 -1.3 1.00e+00 6.91e-01f 1 19 -2.3747683e+02 8.25e-02 1.22e-01 -3.4 2.64e+00 -1.8 1.00e+00 3.56e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 20 -2.3912919e+02 4.04e-02 3.87e-02 -2.9 9.30e-01 -1.4 1.00e+00 9.15e-01f 1 21 -2.4109965e+02 7.61e-02 7.55e-02 -3.2 2.58e+00 -1.8 9.99e-01 4.34e-01f 1 22 -2.4201631e+02 4.06e-02 4.40e-02 -3.0 8.26e-01 -1.4 1.00e+00 6.00e-01h 1 23 -2.4399735e+02 5.99e-02 8.08e-02 -3.2 2.30e+00 -1.9 1.00e+00 4.96e-01f 1 24 -2.4515257e+02 2.50e-02 2.76e-02 -3.3 8.01e-01 -1.5 1.00e+00 8.46e-01h 1 25 -2.4625662e+02 5.64e-02 5.74e-02 -3.6 2.82e+00 -1.9 1.00e+00 3.15e-01f 1 26 -2.4732958e+02 3.24e-02 2.56e-02 -3.3 8.86e-01 -1.5 1.00e+00 8.59e-01h 1 27 -2.4900560e+02 1.01e-01 4.65e-02 -3.5 3.33e+00 -2.0 9.99e-01 5.12e-01f 1 28 -2.4971627e+02 3.55e-02 4.36e-02 -2.8 1.10e+00 -1.6 1.00e+00 8.16e-01h 1 29 -2.5068510e+02 2.44e-02 5.65e-02 -3.2 2.14e+00 -2.0 1.00e+00 3.39e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 30 -2.5139098e+02 1.55e-02 3.88e-02 -3.3 8.17e-01 -1.6 1.00e+00 6.51e-01h 1 31 -2.5334809e+02 6.69e-02 2.64e-02 -3.6 2.37e+00 -2.1 9.97e-01 7.26e-01f 1 32 -2.5413383e+02 1.74e-02 1.76e-02 -3.3 8.33e-01 -1.7 1.00e+00 9.77e-01h 1 33 -2.5460149e+02 2.59e-02 4.58e-02 -3.8 2.82e+00 -2.1 1.00e+00 2.04e-01f 1 34 -2.5541769e+02 4.15e-02 1.73e-02 -3.6 9.16e-01 -1.7 1.00e+00 9.65e-01h 1 35 -2.5646665e+02 2.24e-01 2.13e-02 -3.6 4.29e+00 -2.2 1.00e+00 4.79e-01f 1 36 -2.5717359e+02 6.94e-02 2.36e-02 -3.3 1.50e+00 -1.8 1.00e+00 9.71e-01h 1 37 -2.5741259e+02 6.54e-02 4.92e-02 -3.4 3.91e+00 -2.2 1.00e+00 1.24e-01h 1 38 -2.5779264e+02 1.57e-02 1.59e-02 -2.8 1.07e+00 -1.8 7.52e-01 7.68e-01f 1 39 -2.5866986e+02 3.72e-02 5.53e-02 -3.4 2.93e+00 -2.3 1.00e+00 4.56e-01f 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 40 -2.5941481e+02 2.00e-02 1.44e-02 -3.8 1.10e+00 -1.9 1.00e+00 9.93e-01h 1 41 -2.5999608e+02 3.35e-02 4.04e-02 -3.2 3.06e+00 -2.4 9.16e-01 3.96e-01f 1 42 -2.6040318e+02 1.91e-02 1.36e-02 -3.2 1.16e+00 -1.9 1.00e+00 8.27e-01h 1 43 -2.6109356e+02 4.17e-02 1.65e-02 -3.4 3.04e+00 -2.4 1.00e+00 4.96e-01f 1 44 -2.6147976e+02 1.69e-02 1.21e-02 -3.2 1.16e+00 -2.0 1.00e+00 9.47e-01h 1 45 -2.6190402e+02 2.76e-02 4.67e-02 -3.8 3.24e+00 -2.5 1.00e+00 3.49e-01h 1 46 -2.6215162e+02 2.13e-02 2.18e-02 -3.1 1.13e+00 -2.0 1.00e+00 7.51e-01h 1 47 -2.6274024e+02 3.21e-02 2.16e-02 -3.4 2.72e+00 -2.5 1.00e+00 6.26e-01h 1 48 -2.6292180e+02 1.05e-02 8.51e-03 -3.1 1.02e+00 -2.1 1.00e+00 8.60e-01h 1 49 -2.6350366e+02 6.27e-02 1.69e-02 -3.8 2.64e+00 -2.6 9.94e-01 7.66e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 50 -2.6368832e+02 1.63e-02 7.14e-03 -3.8 9.65e-01 -2.1 1.00e+00 9.40e-01h 1 51 -2.6372621e+02 1.54e-02 2.33e-02 -3.8 3.07e+00 -2.6 9.83e-01 8.32e-02h 1 52 -2.6392462e+02 1.23e-02 6.59e-03 -4.3 1.00e+00 -2.2 1.00e+00 9.92e-01h 1 53 -2.6395394e+02 1.38e-02 9.33e-01 -2.8 2.70e+00 -2.7 8.14e-02 6.89e-01f 1 54 -2.6418556e+02 6.85e-03 5.51e-03 -3.3 9.46e-01 -2.2 1.00e+00 1.00e+00h 1 55 -2.6429591e+02 9.20e-03 1.79e-02 -3.5 3.69e+00 -2.7 8.37e-01 3.05e-01h 1 56 -2.6439848e+02 5.10e-03 2.98e-02 -3.9 1.17e+00 -2.3 1.00e+00 5.32e-01h 1 57 -2.6447616e+02 9.80e-04 1.60e-02 -4.5 4.34e-01 -1.9 1.00e+00 7.97e-01h 1 58 -2.6454528e+02 2.55e-03 4.12e-02 -5.1 1.42e+00 -2.3 1.00e+00 5.47e-01h 1 59 -2.6458118e+02 9.22e-04 6.41e-03 -4.4 5.22e-01 -1.9 1.00e+00 9.43e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 60 -2.6465208e+02 8.03e-03 1.75e-02 -4.9 1.74e+00 -2.4 1.00e+00 5.83e-01h 1 61 -2.6470019e+02 2.78e-03 6.98e-03 -5.2 6.38e-01 -2.0 1.00e+00 1.00e+00h 1 62 -2.6470717e+02 2.82e-03 3.57e-02 -5.2 2.29e+00 -2.4 1.00e+00 4.97e-02h 1 63 -2.6473062e+02 2.57e-03 8.95e-03 -5.0 7.50e-01 -2.0 1.00e+00 4.85e-01h 1 64 -2.6474774e+02 3.45e-03 3.75e-02 -5.5 2.43e+00 -2.5 1.00e+00 1.12e-01h 1 65 -2.6479105e+02 5.52e-03 1.00e-02 -5.5 8.49e-01 -2.1 1.00e+00 7.86e-01h 1 66 -2.6483117e+02 1.32e-02 4.03e-02 -5.0 2.91e+00 -2.5 1.00e+00 2.27e-01h 1 67 -2.6484331e+02 1.10e-02 1.49e-01 -4.3 9.97e-01 -2.1 1.00e+00 2.25e-01h 1 68 -2.6486912e+02 1.34e-02 4.45e-02 -4.6 3.45e+00 -2.6 1.00e+00 1.19e-01h 1 69 -2.6494092e+02 1.18e-02 7.47e-03 -4.8 1.10e+00 -2.2 1.00e+00 1.00e+00h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 70 -2.6500801e+02 3.56e-02 1.08e-02 -4.8 5.45e+00 -2.6 1.00e+00 2.26e-01h 1 71 -2.6487054e+02 1.17e-01 2.71e+00 -3.0 3.38e+00 -2.2 5.21e-02 9.26e-01f 1 72 -2.6488712e+02 1.13e-01 2.63e+00 -4.0 5.63e+00 -2.7 1.00e+00 3.13e-02h 1 73 -2.6500630e+02 6.24e-02 1.49e+00 -4.0 1.22e+00 -2.3 1.00e+00 4.37e-01h 1 74 -2.6507834e+02 3.39e-02 1.22e+00 -3.6 5.07e+00 -2.7 1.00e+00 1.94e-01h 1 75 -2.6515481e+02 1.57e-02 2.49e-01 -3.4 1.40e+00 -2.3 1.00e+00 7.99e-01h 1 76 -2.6519711e+02 5.22e-02 1.83e-01 -3.1 5.40e+00 -2.8 1.00e+00 2.58e-01h 1 77 -2.6534527e+02 2.74e-02 1.80e-02 -3.7 1.65e+00 -2.4 1.00e+00 9.03e-01h 1 78 -2.6542530e+02 4.79e-02 5.24e-02 -4.0 4.61e+00 -2.8 1.00e+00 3.29e-01h 1 79 -2.6550127e+02 3.61e-02 1.27e-02 -3.9 1.75e+00 -2.4 1.00e+00 7.95e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 80 -2.6554883e+02 4.36e-02 2.64e-02 -3.7 4.65e+00 -2.9 1.00e+00 2.42e-01h 1 81 -2.6558697e+02 2.99e-02 6.23e-03 -3.7 1.79e+00 -2.5 1.00e+00 5.99e-01h 1 82 -2.6562346e+02 2.91e-02 2.27e-02 -3.9 4.34e+00 -2.9 1.00e+00 1.59e-01h 1 83 -2.6564600e+02 1.83e-02 1.25e-02 -3.6 1.29e+00 -2.5 1.00e+00 4.12e-01h 1 84 -2.6571624e+02 1.35e-02 3.23e-02 -4.2 3.80e+00 -3.0 1.00e+00 3.16e-01h 1 85 -2.6576940e+02 8.01e-03 2.09e-02 -4.2 1.36e+00 -2.6 1.00e+00 5.76e-01h 1 86 -2.6579822e+02 7.83e-03 4.27e-02 -4.5 3.73e+00 -3.1 1.00e+00 1.40e-01h 1 87 -2.6582986e+02 6.75e-03 8.91e-03 -4.0 1.18e+00 -2.6 1.00e+00 5.07e-01h 1 88 -2.6586436e+02 9.71e-03 3.03e-02 -4.4 4.78e+00 -3.1 9.99e-01 1.69e-01h 1 89 -2.6590332e+02 1.05e-02 1.68e-02 -4.4 1.28e+00 -2.7 1.00e+00 5.39e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 90 -2.6595163e+02 1.80e-02 2.29e-02 -4.4 4.13e+00 -3.2 1.00e+00 2.62e-01h 1 91 -2.6598970e+02 1.88e-02 2.48e-03 -3.9 1.31e+00 -2.7 1.00e+00 1.00e+00h 1 92 -2.6600685e+02 1.83e-02 4.33e-02 -4.0 5.88e+00 -3.2 1.00e+00 7.50e-02h 1 93 -2.6606131e+02 1.68e-02 2.17e-02 -4.2 1.46e+00 -2.8 1.00e+00 6.53e-01h 1 94 -2.6609392e+02 1.53e-02 2.78e-02 -4.2 6.15e+00 -3.3 1.00e+00 1.19e-01h 1 95 -2.6611329e+02 1.66e-02 4.59e-02 -3.6 1.74e+00 -2.8 1.00e+00 6.07e-01h 1 96 -2.6617315e+02 4.47e-02 3.45e-02 -3.8 7.68e+00 -3.3 1.00e+00 2.08e-01h 1 97 -2.6616875e+02 5.32e-02 4.02e-02 -3.3 2.41e+00 -2.9 1.00e+00 6.82e-01h 1 98 -2.6628532e+02 2.00e-01 3.63e-02 -3.5 1.61e+01 -3.4 9.93e-01 2.06e-01h 1 99 -2.6618363e+02 3.22e-02 1.21e-02 -2.9 3.25e+00 -2.9 1.00e+00 9.18e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 100 -2.6632940e+02 6.17e-02 6.60e-02 -3.6 1.57e+01 -3.4 9.12e-01 2.21e-01h 1 101 -2.6493993e+02 9.19e-01 2.96e-01 -2.2 2.02e+01 -3.9 3.00e-01 7.97e-01f 1 102 -2.6547234e+02 5.39e-01 1.96e-01 -2.7 5.79e+00 -3.5 1.00e+00 4.15e-01h 1 103 -2.6552671e+02 5.27e-01 1.92e-01 -2.7 9.19e+01 -3.9 1.19e-01 2.65e-02h 1 104 -2.6615617e+02 2.14e-01 2.97e-02 -2.7 5.20e+00 -3.5 1.00e+00 8.58e-01h 1 105 -2.6620821e+02 2.70e-01 3.34e-02 -2.7 1.31e+01 -4.0 1.00e+00 1.97e-01h 1 106 -2.6629595e+02 3.44e-02 1.04e-03 -2.7 2.45e+00 -3.6 1.00e+00 1.00e+00h 1 107 -2.6636464e+02 1.20e-01 3.18e-02 -8.7 4.30e+01 -4.0 3.07e-01 8.40e-02h 1 108 -2.6662086e+02 1.82e-02 2.34e-03 -3.0 1.99e+00 -3.6 1.00e+00 9.72e-01h 1 109 -2.6671816e+02 1.13e-02 4.55e-02 -3.6 5.45e+00 -4.1 9.42e-01 3.80e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 110 -2.6675739e+02 1.59e-02 6.06e-02 -3.6 1.19e+01 -4.6 9.95e-01 2.40e-01h 1 111 -2.6683451e+02 4.29e-03 2.21e-02 -3.6 9.78e-01 -4.1 1.00e+00 6.95e-01h 1 112 -2.6691733e+02 5.83e-03 2.98e-03 -4.2 3.75e+00 -4.6 1.00e+00 9.59e-01h 1 113 -2.6693189e+02 2.41e-03 3.58e-03 -4.6 1.90e+00 -4.2 1.00e+00 9.58e-01h 1 114 -2.6693296e+02 7.74e-03 3.37e-02 -4.6 1.48e+01 -4.7 9.93e-01 1.88e-01h 1 115 -2.6693875e+02 4.75e-04 3.33e-04 -5.1 3.55e-01 - 1.00e+00 9.95e-01h 1 116 -2.6694037e+02 1.60e-05 2.09e-03 -5.9 5.14e-02 - 1.00e+00 9.63e-01h 1 117 -2.6694061e+02 4.06e-06 1.71e-02 -7.3 4.31e-03 - 1.00e+00 7.46e-01h 1 118 -2.6694067e+02 1.00e-06 1.39e-02 -8.1 1.20e-03 - 1.00e+00 7.53e-01h 1 119 -2.6694068e+02 2.28e-07 9.92e-03 -8.6 3.10e-04 - 1.00e+00 7.73e-01h 1 iter objective inf_pr inf_du lg(mu) ||d|| lg(rg) alpha_du alpha_pr ls 120 -2.6694069e+02 5.13e-08 4.72e-03 -9.0 7.51e-05 - 1.00e+00 7.75e-01h 1 121 -2.6694069e+02 2.89e-10 3.08e-05 -11.0 1.92e-05 - 1.00e+00 9.94e-01h 1 122 -2.6694069e+02 1.42e-14 2.87e-16 -11.0 1.08e-07 - 1.00e+00 1.00e+00h 1 Number of Iterations....: 122 (scaled) (unscaled) Objective...............: -2.6694068808623354e+02 -2.6694068808623354e+02 Dual infeasibility......: 2.8680900603975398e-16 2.8680900603975398e-16 Constraint violation....: 1.4210854715202004e-14 1.4210854715202004e-14 Complementarity.........: 1.0001159364209455e-11 1.0001159364209455e-11 Overall NLP error.......: 1.0001159364209455e-11 1.0001159364209455e-11 Number of objective function evaluations = 123 Number of objective gradient evaluations = 123 Number of equality constraint evaluations = 123 Number of inequality constraint evaluations = 0 Number of equality constraint Jacobian evaluations = 123 Number of inequality constraint Jacobian evaluations = 0 Number of Lagrangian Hessian evaluations = 122 Total CPU secs in IPOPT (w/o function evaluations) = 6.492 Total CPU secs in NLP function evaluations = 2.540 EXIT: Optimal Solution Found. GAMS/Ipopt finished. --- Restarting execution --- arki0015.gms(7823) 0 Mb --- Reading solution for model m *** Status: Normal completion --- Job arki0015.gms Stop 09/21/08 04:13:59 elapsed 0:00:09.640