--- Job ex4 Start 09/02/08 16:22:51 GAMS Rev 228 Copyright (C) 1987-2008 GAMS Development. All rights reserved *** License File has expired 1 days ago Licensee: Stefan Vigerske G071106/0001CB-LNX Humboldt University Berlin, Numerical Mathematics DC5918 --- Starting compilation --- ex4.gms(151) 2 Mb --- Starting execution: elapsed 0:00:00.037 --- ex4.gms(146) 3 Mb --- Generating MINLP model m --- ex4.gms(151) 5 Mb --- 31 rows 37 columns 237 non-zeroes --- 1,296 nl-code 127 nl-non-zeroes --- 25 discrete-columns --- ex4.gms(151) 3 Mb --- Executing BONMIN: elapsed 0:00:00.041 GAMS/Bonmin MINLP Solver (Bonmin Library 0.99) written by P. Bonami List of user-set options: Name Value used bonmin.algorithm = B-BB 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 ****************************************************************************** NLP0012I Num Status Obj It time NLP0013I 1 OPT -16.41977394737245 17 0.028002 NLP0013I 2 OPT -16.32114427986325 10 0.020001 NLP0013I 3 OPT 2511.350606544199 26 0.048003 NLP0013I 4 OPT -16.31962356109471 9 0.016001 NLP0013I 5 OPT 5242.131474805276 25 0.048003 NLP0013I 6 OPT -15.86557519730963 10 0.020001 NLP0013I 7 OPT 2817.19479822912 30 0.056004 NLP0013I 8 OPT -16.2361681066385 9 0.016001 NLP0013I 9 OPT 91272.05646995486 35 0.060004 NLP0013I 10 OPT -15.75807673072006 10 0.016001 NLP0013I 11 OPT 266.5215045266582 21 0.040002 NLP0013I 12 OPT -15.84269390586745 10 0.016001 NLP0013I 13 OPT -13.2263277495796 14 0.024001 NLP0013I 14 OPT -16.27805690077839 9 0.016001 NLP0013I 15 OPT 328.1486271697891 20 0.036002 NLP0013I 16 OPT -16.19664448416324 9 0.016001 NLP0013I 17 OPT 2967.882872212951 26 0.052003 NLP0013I 18 OPT -15.72199004992666 9 0.016001 NLP0013I 19 OPT -13.5912074227402 14 0.028002 NLP0013I 20 OPT -16.34159552910834 9 0.016001 NLP0012I Num Status Obj It time NLP0013I 21 OPT 7086.033524444207 28 0.056003 NLP0013I 22 OPT -15.63129154609747 11 0.020002 NLP0013I 23 OPT -12.80641890126162 15 0.028001 NLP0013I 24 OPT -15.59067825830163 9 0.020002 NLP0013I 25 OPT -6.379746174408019 14 0.024001 NLP0013I 26 OPT -15.67217417076204 9 0.020001 NLP0013I 27 OPT 24387.21336742832 30 0.052004 NLP0013I 28 OPT -16.38803951262335 11 0.024001 NLP0013I 29 OPT 175934.4218751151 162 0.384024 NLP0013I 30 OPT -15.78366050569018 9 0.016001 NLP0013I 31 OPT -14.68081497674188 12 0.020002 NLP0013I 32 OPT -16.3279279413454 9 0.020001 NLP0013I 33 OPT -14.8931033908304 13 0.020001 NLP0013I 34 OPT -15.50863522748362 10 0.016001 NLP0013I 35 OPT -16.16736549773863 13 0.024001 NLP0013I 36 OPT -15.48824690377782 9 0.016001 NLP0013I 37 OPT -12.7749522402097 15 0.028002 NLP0013I 38 OPT -16.32592580848462 10 0.020001 NLP0013I 39 OPT 27129.53156212701 62 0.15201 NLP0013I 40 OPT -15.44566712547588 9 0.020001 NLP0012I Num Status Obj It time NLP0013I 41 OPT -16.21195674607467 12 0.020001 Cbc0010I After 0 nodes, 1 on tree, 1e+50 best solution, best possible -16.4198 (1.59 seconds) NLP0013I 42 OPT -16.38803951262335 11 0.020002 NLP0013I 43 OPT -16.19980220038775 11 0.020001 NLP0013I 44 OPT -16.10594056254997 10 0.016001 NLP0013I 45 OPT -15.3608259150991 10 0.020001 NLP0013I 46 OPT -15.28322873829727 11 0.024002 NLP0013I 47 OPT -15.18679373229867 11 0.020001 NLP0013I 48 OPT 5243.540567206455 23 0.040002 NLP0013I 49 OPT 5244.251920480076 21 0.040003 NLP0013I 50 OPT 34903.32767728729 25 0.044003 NLP0013I 51 OPT 7087.393025032563 24 0.044002 NLP0013I 52 OPT 7088.158211930109 23 0.040003 NLP0013I 53 OPT 23770.28501954745 25 0.044003 NLP0013I 54 OPT 24387.74491184189 27 0.048003 NLP0013I 55 OPT 24388.11424765106 28 0.052003 NLP0013I 56 OPT 29942.65192388876 29 0.048003 NLP0013I 57 OPT 24388.34132402858 29 0.048003 NLP0013I 58 OPT 26624.82160338286 27 0.048003 NLP0013I 59 OPT 24388.50510049843 27 0.048003 NLP0013I 60 OPT 24988.91411883517 27 0.048003 NLP0012I Num Status Obj It time NLP0013I 61 OPT 24388.61051249888 28 0.052003 NLP0013I 62 OPT 24521.86003281682 26 0.048003 NLP0013I 63 OPT 24388.33330550452 27 0.044003 NLP0013I 64 OPT 24388.41491287965 27 0.048003 NLP0013I 65 OPT 38678.64843338494 26 0.048003 NLP0013I 66 OPT 43493.85516999829 23 0.040003 NLP0013I 67 OPT 43493.94351460509 23 0.040002 NLP0013I 68 OPT 50930.83477312 26 0.048003 NLP0013I 69 INFEAS 16356.43550354411 56 0.140009 NLP0013I 70 OPT 91272.13608264489 36 0.068004 NLP0013I 71 OPT 91272.92352181162 31 0.052004 NLP0013I 72 OPT 91273.05534522253 30 0.056003 NLP0013I 73 OPT 91273.8065108531 31 0.060004 NLP0013I 74 OPT 91273.99108947256 34 0.064004 NLP0013I 75 OPT 96502.99671319214 29 0.052003 NLP0013I 76 OPT 122865.3134604953 33 0.056004 NLP0013I 77 OPT 122865.4796159032 31 0.056003 NLP0013I 78 OPT 138397.1992005942 29 0.048003 NLP0013I 79 OPT 164337.5366539044 28 0.052004 NLP0013I 80 OPT 164338.3132128928 28 0.052003 NLP0012I Num Status Obj It time NLP0013I 81 OPT 164338.4766933302 26 0.044003 NLP0013I 82 OPT 175289.2587029096 28 0.048003 NLP0013I 83 OPT 179230.7340359107 30 0.056003 NLP0013I 84 OPT 179231.5940833768 30 0.052004 NLP0013I 85 OPT 210717.334424677 84 0.184011 NLP0013I 86 OPT 92868.63343823218 36 0.064004 NLP0013I 87 OPT 92869.18259338971 35 0.064004 NLP0013I 88 OPT 92869.31710738369 33 0.060004 NLP0013I 89 OPT 92870.03401048656 31 0.060004 NLP0013I 90 OPT 125175.5511916628 39 0.072004 NLP0013I 91 OPT 164337.560002839 32 0.056004 NLP0013I 92 OPT 164338.3365614737 31 0.056003 NLP0013I 93 OPT 179230.7940833768 36 0.064004 NLP0013I 94 OPT 204327.5643182878 64 0.144009 NLP0013I 95 OPT 204327.7489862799 31 0.056003 NLP0013I 96 OPT 204328.6813161904 31 0.060004 NLP0013I 97 OPT 206364.8433652991 30 0.052003 NLP0013I 98 OPT 207729.8887598024 144 0.736046 NLP0013I 99 OPT 207730.8046513788 127 0.548034 NLP0013I 100 OPT 210716.5344246769 102 0.248016 NLP0012I Num Status Obj It time NLP0013I 101 OPT 175934.4218751151 162 0.388024 NLP0013I 102 OPT 175934.6423282276 29 0.052003 NLP0013I 103 OPT 175934.8177122806 27 0.048003 NLP0013I 104 OPT 175935.5743682738 29 0.052003 NLP0013I 105 OPT 175936.5043729853 26 0.048003 NLP0013I 106 OPT 175936.6748991242 29 0.056004 NLP0013I 107 OPT 183231.885914517 28 0.052003 NLP0013I 108 OPT 180777.8042095126 29 0.052003 NLP0013I 109 OPT 180777.9762697713 31 0.056004 NLP0013I 110 OPT 187175.6790673585 29 0.052003 NLP0013I 111 OPT 182236.4388179888 29 0.052003 NLP0013I 112 OPT 182236.6127298491 30 0.056004 NLP0013I 113 OPT 182237.3552935112 30 0.060004 NLP0012I Num Status Obj It time NLP0013I 1 OPT 182237.3552935109 12 0.020001 Cbc0004I Integer solution of 182237 found after 2242 iterations and 62 nodes (7.25 seconds) NLP0013I 114 OPT 190671.3724097078 26 0.048003 NLP0013I 115 OPT 187286.7401161662 29 0.056003 NLP0013I 116 OPT 183036.458028719 33 0.060004 NLP0013I 117 OPT 288696.472423719 33 0.060004 NLP0013I 118 OPT 5244.251920480076 21 0.036002 NLP0013I 119 OPT 5244.926451061116 21 0.040003 NLP0013I 120 OPT 5245.856994286893 21 0.036002 NLP0012I Num Status Obj It time NLP0013I 121 OPT 5245.996913581925 22 0.040002 NLP0013I 122 OPT 5246.192578666828 21 0.032002 NLP0013I 123 OPT 5246.474942528825 22 0.040003 NLP0013I 124 OPT 5247.449682788309 23 0.040002 NLP0013I 125 OPT 5248.375620556501 21 0.040003 NLP0013I 126 OPT 5273.634256401156 23 0.040002 NLP0013I 127 OPT 18411.56080829539 27 0.048003 NLP0013I 128 OPT 5274.47392858801 22 0.040003 NLP0013I 129 OPT 5274.572485600509 20 0.036002 NLP0013I 2 OPT 5274.572485600424 11 0.012001 Cbc0004I Integer solution of 5274.57 found after 2627 iterations and 78 nodes (7.96 seconds) NLP0013I 130 OPT -14.66469779970497 11 0.020002 NLP0013I 131 OPT -14.57837975949492 11 0.020001 NLP0013I 132 OPT -14.03826507243819 11 0.020001 NLP0013I 133 OPT -13.28660212295467 12 0.020002 NLP0013I 134 OPT -13.15094678518263 12 0.024001 NLP0013I 135 OPT -12.45159715918993 13 0.024002 NLP0013I 136 OPT -12.22834533473722 13 0.024001 NLP0013I 137 OPT -11.59898315280883 14 0.024002 NLP0013I 138 OPT -10.72369531335784 14 0.024001 NLP0013I 139 OPT -9.90119206745265 16 0.024002 NLP0013I 140 OPT -8.987192452280313 17 0.032002 NLP0012I Num Status Obj It time NLP0013I 141 OPT -8.899625870909903 16 0.028002 NLP0013I 142 OPT -8.278933168819695 15 0.028001 NLP0013I 143 OPT -7.789129113769856 18 0.032002 NLP0013I 3 OPT -7.78912911382148 11 0.016001 Cbc0004I Integer solution of -7.78913 found after 2820 iterations and 92 nodes (8.33 seconds) NLP0013I 144 OPT -10.79048811789548 24 0.044003 NLP0013I 145 OPT -9.637713213095575 16 0.028002 NLP0013I 146 OPT -9.466840190768441 19 0.032002 NLP0013I 147 OPT 2818.858042289017 24 0.040002 NLP0013I 148 OPT 272.0839597412075 18 0.032002 NLP0013I 149 OPT 2513.367244998028 24 0.044002 NLP0013I 150 OPT 332.5833370739052 19 0.032002 NLP0013I 151 OPT 2973.040686205224 21 0.032002 Cbc0010I After 100 nodes, 9 on tree, -7.78913 best solution, best possible -11.599 (8.62 seconds) NLP0013I 152 OPT -10.61704560009758 14 0.024001 NLP0013I 153 OPT -9.781043988865086 16 0.028002 NLP0013I 154 OPT 7881.018745931224 25 0.036002 NLP0013I 155 OPT 0.7580816580102311 19 0.036002 NLP0013I 156 OPT -8.821180990948383 16 0.028002 NLP0013I 157 OPT -5.505008300297085 17 0.028002 NLP0013I 158 OPT -4.505008300070339 18 0.028002 NLP0013I 159 OPT -6.030373292468615 15 0.024002 NLP0013I 160 OPT -8.161672277581177 16 0.028001 NLP0012I Num Status Obj It time NLP0013I 161 OPT -6.977122960206406 15 0.020001 NLP0013I 162 OPT -7.313268523696387 14 0.028002 NLP0013I 163 OPT -6.11228432510022 16 0.028001 NLP0013I 164 OPT -8.064136164344244 16 0.024002 NLP0013I 4 OPT -8.064136164404239 15 0.020001 Cbc0004I Integer solution of -8.06414 found after 3202 iterations and 113 nodes (9.02 seconds) NLP0013I 165 OPT -6.428485784471339 15 0.028002 NLP0013I 166 OPT -9.237012640760856 19 0.032002 NLP0013I 167 OPT -8.389321897047951 19 0.036002 NLP0013I 168 OPT 5195.684011062564 25 0.044003 NLP0013I 169 OPT 4047.105110164125 22 0.036002 NLP0013I 170 OPT -9.493568531254232 16 0.024001 NLP0013I 171 OPT -8.712466095470583 17 0.028002 NLP0013I 172 OPT 927.5185444106503 20 0.032002 NLP0013I 173 OPT 38387.34848816486 23 0.040003 NLP0013I 174 OPT -7.56024611244782 18 0.032002 NLP0013I 175 OPT 3938.598692563512 22 0.040002 NLP0013I 176 OPT -7.862399734688121 17 0.028002 NLP0013I 177 OPT 29438.61707496484 28 0.048003 NLP0013I 178 OPT -10.01794546427054 21 0.036003 NLP0013I 179 OPT 13540.08463510149 25 0.044002 NLP0013I 180 OPT -9.16599878323612 22 0.036003 NLP0012I Num Status Obj It time NLP0013I 181 OPT 5775.447024802951 28 0.048003 NLP0013I 182 OPT -8.995125963483227 20 0.036002 NLP0013I 183 OPT -8.041200819886379 18 0.032002 NLP0013I 184 OPT -7.922816798658264 20 0.036002 NLP0013I 185 OPT 401.5220245881975 19 0.036003 Cbc0001I Search completed - best objective -8.064136164404239, took 3636 iterations and 134 nodes (9.79 seconds) Cbc0032I Strong branching done 25 times (1044 iterations), fathomed 0 nodes and fixed 0 variables Cbc0035I Maximum depth 19, 0 variables fixed on reduced cost Bonmin finished. Found feasible point. Objective function = -8.064136. Resolve with fixed discrete variables to get dual values. NLP0012I Num Status Obj It time NLP0013I 1 OPT -8.064136164404241 15 0.028001 MINLP solution: -8.064136164 (134 nodes, 9.85 seconds) Best possible: -8.064136164 Absolute gap: 1.7764e-15 Relative gap: 2.2028e-16 GAMS/Bonmin finished. --- Restarting execution --- ex4.gms(151) 0 Mb --- Reading solution for model m *** Status: Normal completion --- Job ex4.gms Stop 09/02/08 16:23:01 elapsed 0:00:10.071