--- Job stein45 Start 08/22/08 04:24:50 GAMS Rev 228 Copyright (C) 1987-2008 GAMS Development. All rights reserved Licensee: Stefan Vigerske G071106/0001CB-LNX Humboldt University Berlin, Numerical Mathematics DC5918 --- Starting compilation --- stein45.gms(106) 2 Mb --- GDXin=/home/stefan/work/gams/models/LINlib/stein45.gdx --- stein45.gms(148) 3 Mb --- Starting execution: elapsed 0:00:00.006 --- stein45.gms(123) 4 Mb --- Generating MIP model m --- stein45.gms(124) 4 Mb --- 332 rows 46 columns 1,080 non-zeroes --- 45 discrete-columns --- stein45.gms(124) 4 Mb --- Executing COINCBC: elapsed 0:00:00.012 GAMS/CoinCbc 2.1 LP/MIP Solver written by J. Forrest Problem statistics: 45 columns and 331 rows. 45 variables have integrality restrictions. Calling CBC main solution routine... Coin Cbc and Clp Solver version 2.10.00, build Jun 21 2008 command line - GAMS/CBC -solve -quit Continuous objective value is 22 - 0.00 seconds processed model has 331 rows, 45 columns (45 integer) and 1034 elements Objective coefficients multiple of 1 Cutoff increment increased from 1e-05 to 0.999 Pass 1: suminf. 11.33333 obj. 22.3333 iterations 17 Pass 2: suminf. 0.00000 obj. 39 iterations 83 Solution found of 39 Before mini branch and bound, 10 integers at bound fixed and 0 continuous Full problem 331 rows 45 columns, reduced to 152 rows 35 columns Mini branch and bound improved solution from 39 to 31 (0.14 seconds) Round again with cutoff of 30.1 Pass 3: suminf. 11.33333 obj. 22.3333 iterations 17 Pass 4: suminf. 5.23333 obj. 30.1 iterations 78 Pass 5: suminf. 3.33478 obj. 30.1 iterations 33 Pass 6: suminf. 1.42500 obj. 30.1 iterations 9 Pass 7: suminf. 1.42500 obj. 30.1 iterations 10 Pass 8: suminf. 9.00000 obj. 27 iterations 86 Pass 9: suminf. 6.40000 obj. 30.1 iterations 49 Pass 10: suminf. 5.83846 obj. 30.1 iterations 24 Pass 11: suminf. 5.00233 obj. 30.1 iterations 27 Pass 12: suminf. 4.40909 obj. 30.1 iterations 21 Pass 13: suminf. 3.80780 obj. 30.1 iterations 14 Pass 14: suminf. 3.45374 obj. 30.1 iterations 12 Pass 15: suminf. 10.66667 obj. 24 iterations 82 Pass 16: suminf. 10.33333 obj. 24.3333 iterations 14 Pass 17: suminf. 7.16667 obj. 30.1 iterations 46 Pass 18: suminf. 6.70000 obj. 30.1 iterations 9 Pass 19: suminf. 6.41429 obj. 30.1 iterations 2 Pass 20: suminf. 5.90000 obj. 30.1 iterations 19 Pass 21: suminf. 5.90000 obj. 30.1 iterations 2 Pass 22: suminf. 6.90000 obj. 30.1 iterations 25 Before mini branch and bound, 0 integers at bound fixed and 0 continuous Full problem 331 rows 45 columns, reduced to 331 rows 45 columns - too large Mini branch and bound did not improve solution (0.19 seconds) After 0.19 seconds - Feasibility pump exiting with objective of 1 - took 0.19 seconds Integer solution of 39 found by feasibility pump after 0 iterations and 0 nodes (0.19 seconds) Full problem 331 rows 45 columns, reduced to 93 rows 24 columns Integer solution of 31 found by combine solutions after 0 iterations and 0 nodes (0.22 seconds) 12 added rows had average density of 35.25 At root node, 12 cuts changed objective from 22 to 22 in 100 passes Cut generator 0 (Probing) - 0 row cuts (0 active), 0 column cuts in 0.132 seconds - new frequency is 10 Cut generator 1 (Gomory) - 1563 row cuts (12 active), 0 column cuts in 0.076 seconds - new frequency is 1 Cut generator 2 (Knapsack) - 0 row cuts (0 active), 0 column cuts in 0.048 seconds - new frequency is -100 Cut generator 3 (Clique) - 0 row cuts (0 active), 0 column cuts in 0.016 seconds - new frequency is -100 Cut generator 4 (MixedIntegerRounding2) - 0 row cuts (0 active), 0 column cuts in 0.084 seconds - new frequency is -100 Cut generator 5 (FlowCover) - 0 row cuts (0 active), 0 column cuts in 0.004 seconds - new frequency is -100 Cut generator 6 (TwoMirCuts) - 225 row cuts (0 active), 0 column cuts in 0.040 seconds - new frequency is -100 After 0 nodes, 1 on tree, 31 best solution, best possible 22 (1.71 seconds) Integer solution of 30 found by greedy cover after 6262 iterations and 1 nodes (1.81 seconds) Full problem 331 rows 45 columns, reduced to 38 rows 23 columns After 1000 nodes, 352 on tree, 30 best solution, best possible 24.8919 (16.38 seconds) After 2000 nodes, 502 on tree, 30 best solution, best possible 25.996 (26.07 seconds) After 3000 nodes, 572 on tree, 30 best solution, best possible 25.996 (33.79 seconds) After 4000 nodes, 600 on tree, 30 best solution, best possible 26 (41.26 seconds) After 5000 nodes, 558 on tree, 30 best solution, best possible 26 (47.39 seconds) After 6000 nodes, 475 on tree, 30 best solution, best possible 26.998 (52.73 seconds) After 7000 nodes, 352 on tree, 30 best solution, best possible 27 (57.00 seconds) After 8000 nodes, 151 on tree, 30 best solution, best possible 27.5333 (61.23 seconds) Search completed - best objective 30, took 176040 iterations and 8580 nodes (63.25 seconds) Strong branching done 83714 times (1109574 iterations), fathomed 3407 nodes and fixed 1330 variables Maximum depth 19, 54 variables fixed on reduced cost Cuts at root node changed objective from 22 to 22 Probing was tried 920 times and created 2861 cuts of which 1535 were active after adding rounds of cuts (0.424 seconds) Gomory was tried 2033 times and created 49479 cuts of which 4460 were active after adding rounds of cuts (0.628 seconds) Knapsack was tried 100 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.048 seconds) Clique was tried 100 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.016 seconds) MixedIntegerRounding2 was tried 100 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.084 seconds) FlowCover was tried 100 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.004 seconds) TwoMirCuts was tried 100 times and created 225 cuts of which 0 were active after adding rounds of cuts (0.040 seconds) Result - Finished objective 30 after 8580 nodes and 176040 iterations - took 63.26 seconds (total time 63.26) Total time 63.27 Solved to optimality. MIP solution: 30 (8580 nodes, 63.26 seconds) Best possible: 30 Absolute gap: 0 (absolute tolerance optca: 0) Relative gap: 0 (relative tolerance optcr: 0) --- Restarting execution --- stein45.gms(124) 0 Mb --- Reading solution for model m *** Status: Normal completion --- Job stein45.gms Stop 08/22/08 04:25:53 elapsed 0:01:03.404