--- Job vpm2 Start 08/24/08 09:03:26 GAMS Rev 227 Copyright (C) 1987-2008 GAMS Development. All rights reserved Licensee: Stefan Vigerske G071106/0001CB-LNX Humboldt University Berlin, Numerical Mathematics DC5918 --- Starting compilation --- vpm2.gms(106) 2 Mb --- GDXin=/home/stefan/work/gams/models/LINlib/vpm2.gdx --- vpm2.gms(147) 3 Mb --- Starting execution: elapsed 0:00:00.009 --- vpm2.gms(123) 4 Mb --- Generating MIP model m --- vpm2.gms(124) 4 Mb --- 235 rows 379 columns 1,086 non-zeroes --- 168 discrete-columns --- vpm2.gms(124) 4 Mb --- Executing Cbc: elapsed 0:00:00.017 GAMS/Cbc 2.1 LP/MIP Solver written by J. Forrest Problem statistics: 378 columns and 234 rows. 168 variables have integrality restrictions. Calling CBC main solution routine... Coin Cbc and Clp Solver version 2.20.00, build Aug 23 2008 command line - GAMS/CBC -solve -quit Continuous objective value is 9.88926 - 0.00 seconds Optimal - objective value 9.88926 0 fixed, 67 tightened bounds, 120 strengthened rows, 0 substitutions processed model has 168 rows, 257 columns (120 integer) and 634 elements Objective coefficients multiple of 0.25 Cutoff increment increased from 1e-05 to 0.24975 Pass 1: suminf. 1.43074 (8) obj. 12.3908 iterations 62 Pass 2: suminf. 0.05714 (1) obj. 18.0714 iterations 22 Solution found of 19.25 Before mini branch and bound, 97 integers at bound fixed and 105 continuous Full problem 168 rows 257 columns, reduced to 37 rows 39 columns Mini branch and bound improved solution from 19.25 to 17 (0.02 seconds) Round again with cutoff of 16.1888 Pass 3: suminf. 1.43074 (8) obj. 12.3908 iterations 57 Pass 4: suminf. 0.55103 (2) obj. 16.1888 iterations 13 Pass 5: suminf. 0.10476 (1) obj. 15.631 iterations 4 Pass 6: suminf. 0.44897 (1) obj. 16.1888 iterations 2 Pass 7: suminf. 3.03366 (12) obj. 16.1888 iterations 58 Pass 8: suminf. 1.63944 (8) obj. 16.1888 iterations 16 Pass 9: suminf. 2.56495 (10) obj. 16.1888 iterations 16 Pass 10: suminf. 1.31276 (8) obj. 16.1888 iterations 23 Pass 11: suminf. 2.14606 (6) obj. 16.1888 iterations 21 Pass 12: suminf. 1.26568 (5) obj. 16.1888 iterations 3 Pass 13: suminf. 1.94900 (7) obj. 16.1888 iterations 3 Pass 14: suminf. 1.67078 (7) obj. 16.1888 iterations 5 Pass 15: suminf. 1.34897 (6) obj. 16.1888 iterations 18 Pass 16: suminf. 1.09425 (5) obj. 16.1888 iterations 11 Pass 17: suminf. 1.57819 (6) obj. 16.1888 iterations 16 Pass 18: suminf. 0.92550 (4) obj. 16.1888 iterations 7 Pass 19: suminf. 0.79364 (4) obj. 16.1888 iterations 13 Pass 20: suminf. 0.71567 (5) obj. 16.1888 iterations 5 Pass 21: suminf. 0.55759 (4) obj. 16.1888 iterations 5 Pass 22: suminf. 1.43443 (7) obj. 16.1888 iterations 15 No solution found this major pass Before mini branch and bound, 77 integers at bound fixed and 83 continuous Full problem 168 rows 257 columns, reduced to 71 rows 87 columns Mini branch and bound did not improve solution (0.12 seconds) After 0.12 seconds - Feasibility pump exiting with objective of 17 - took 0.12 seconds Integer solution of 17 found by feasibility pump after 0 iterations and 0 nodes (0.12 seconds) Full problem 168 rows 257 columns, reduced to 38 rows 51 columns Integer solution of 15.25 found by combine solutions after 0 iterations and 0 nodes (0.13 seconds) 33 added rows had average density of 52.4848 At root node, 33 cuts changed objective from 11.1356 to 13.0437 in 100 passes Cut generator 0 (Probing) - 4 row cuts, 0 column cuts (2 active) in 1.160 seconds - new frequency is 4 Cut generator 1 (Gomory) - 2107 row cuts, 0 column cuts (31 active) in 0.108 seconds - new frequency is 1 Cut generator 2 (Knapsack) - 245 row cuts, 0 column cuts (0 active) in 0.040 seconds - new frequency is 1 Cut generator 3 (Clique) - 0 row cuts, 0 column cuts (0 active) in -0.000 seconds - new frequency is -100 Cut generator 4 (MixedIntegerRounding2) - 260 row cuts, 0 column cuts (0 active) in 0.016 seconds - new frequency is 1 Cut generator 5 (FlowCover) - 92 row cuts, 0 column cuts (0 active) in 0.120 seconds - new frequency is -100 Cut generator 6 (TwoMirCuts) - 171 row cuts, 0 column cuts (0 active) in 0.036 seconds - new frequency is -100 Optimal - objective value 13.0437 Optimal - objective value 13.0437 After 0 nodes, 1 on tree, 15.25 best solution, best possible 13.0437 (2.03 seconds) Full problem 168 rows 257 columns, reduced to 66 rows 85 columns Integer solution of 14.25 found by combine solutions after 7937 iterations and 191 nodes (4.89 seconds) Full problem 168 rows 257 columns, reduced to 72 rows 93 columns Search completed - best objective 13.75, took 12586 iterations and 437 nodes (6.83 seconds) Strong branching done 4298 times (36818 iterations), fathomed 10 nodes and fixed 170 variables Maximum depth 27, 1303 variables fixed on reduced cost Cuts at root node changed objective from 11.1356 to 13.0437 Probing was tried 280 times and created 271 cuts of which 130 were active after adding rounds of cuts (1.252 seconds) Gomory was tried 722 times and created 4361 cuts of which 814 were active after adding rounds of cuts (0.328 seconds) Knapsack was tried 774 times and created 845 cuts of which 93 were active after adding rounds of cuts (0.220 seconds) Clique was tried 100 times and created 0 cuts of which 0 were active after adding rounds of cuts (-0.000 seconds) MixedIntegerRounding2 was tried 774 times and created 1285 cuts of which 213 were active after adding rounds of cuts (0.132 seconds) FlowCover was tried 100 times and created 92 cuts of which 0 were active after adding rounds of cuts (0.120 seconds) TwoMirCuts was tried 100 times and created 171 cuts of which 0 were active after adding rounds of cuts (0.036 seconds) implication was tried 674 times and created 0 cuts of which 0 were active after adding rounds of cuts 73 bounds tightened after postprocessing Result - Finished objective 13.75 after 437 nodes and 12586 iterations - took 6.84 seconds (total time 6.84) Total time 6.85 Solved to optimality. MIP solution: 13.75 (437 nodes, 6.85 seconds) Best possible: 13.75 Absolute gap: 0 (absolute tolerance optca: 0) Relative gap: 0 (relative tolerance optcr: 0) --- Restarting execution --- vpm2.gms(124) 0 Mb --- Reading solution for model m *** Status: Normal completion --- Job vpm2.gms Stop 08/24/08 09:03:33 elapsed 0:00:06.938