--- Job rentacar Start 08/21/08 12:43:12 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 --- rentacar.gms(106) 2 Mb --- GDXin=/home/stefan/work/gams/models/LINlib/rentacar.gdx --- rentacar.gms(148) 6 Mb --- Starting execution: elapsed 0:00:00.105 --- rentacar.gms(123) 6 Mb --- Generating MIP model m --- rentacar.gms(124) 8 Mb --- 6,785 rows 9,559 columns 42,021 non-zeroes --- 55 discrete-columns --- rentacar.gms(124) 8 Mb --- Executing COINCBC: elapsed 0:00:00.291 GAMS/CoinCbc 2.0 LP/MIP Solver written by J. Forrest Problem statistics: 9558 columns and 6784 rows. 55 variables have integrality restrictions. Calling CBC main solution routine... Coin Cbc and Clp Solver version 2.00.00, build Mar 20 2008 command line - GAMS/CBC -solve -quit Continuous objective value is 2.81495e+07 - 0.24 seconds 4 fixed, 9 tightened bounds, 8 strengthened rows, 0 substitutions 0 fixed, 0 tightened bounds, 4 strengthened rows, 0 substitutions 0 fixed, 0 tightened bounds, 4 strengthened rows, 0 substitutions 0 fixed, 0 tightened bounds, 4 strengthened rows, 0 substitutions 0 fixed, 0 tightened bounds, 4 strengthened rows, 0 substitutions 0 fixed, 0 tightened bounds, 4 strengthened rows, 0 substitutions 0 fixed, 0 tightened bounds, 4 strengthened rows, 0 substitutions 0 fixed, 0 tightened bounds, 4 strengthened rows, 0 substitutions 0 fixed, 0 tightened bounds, 4 strengthened rows, 0 substitutions 0 fixed, 0 tightened bounds, 4 strengthened rows, 0 substitutions 0 fixed, 0 tightened bounds, 4 strengthened rows, 0 substitutions 0 fixed, 0 tightened bounds, 4 strengthened rows, 0 substitutions processed model has 1496 rows, 3322 columns (24 integer) and 23963 elements Pass 1: obj. 0.36196 --> up = 0 , down = 0 -- rand = 2 ( 17) Pass 2: obj. 0.00000 --> up = 0 , down = 0 -- rand = 0 ( 29) - solution found of 3.42052e+08 Before mini branch and bound, 13 integers at bound fixed and 2273 continuous Full problem 1496 rows 3322 columns, reduced to 592 rows 709 columns Mini branch and bound improved solution from 3.42052e+08 to 2.90046e+07 (1.17 seconds) Freeing continuous variables gives a solution of 2.88825e+07 Round again with cutoff of 2.88214e+07 Pass 3: obj. 1.31747 --> up = 0 , down = 0 -- rand = 6 ( 11) Pass 4: obj. 0.00020 --> up = 0 , down = 0 -- rand = 0 ( 16) Pass 5: obj. 0.00020 --> up = 0 , down = 0 -- rand = 0 ( 17) perturbation applied Pass 6: obj. 2.49690 --> up = 0 , down = 1 Pass 7: obj. 1.49690 --> up = 0 , down = 0 -- rand = 6 ( 22) Pass 8: obj. 0.15372 --> up = 0 , down = 0 -- rand = 1 ( 29) perturbation applied Pass 9: obj. 2.04423 --> up = 1 , down = 2 Pass 10: obj. 0.15372 --> up = 0 , down = 0 -- rand = 1 ( 27) perturbation applied Pass 11: obj. 0.27125 --> up = 0 , down = 0 -- rand = 2 ( 25) Pass 12: obj. 0.00023 --> up = 0 , down = 0 -- rand = 0 ( 12) Pass 13: obj. 0.00023 --> up = 0 , down = 0 -- rand = 0 ( 25) perturbation applied Pass 14: obj. 0.82271 --> up = 1 , down = 0 Pass 15: obj. 0.28264 --> up = 0 , down = 0 -- rand = 2 ( 17) perturbation applied Pass 16: obj. 6.15933 --> up = 0 , down = 5 Pass 17: obj. 1.18919 --> up = 0 , down = 0 -- rand = 5 ( 12) perturbation applied Pass 18: obj. 2.18824 --> up = 0 , down = 1 Pass 19: obj. 1.18824 --> up = 0 , down = 0 -- rand = 5 ( 22) Pass 20: obj. 0.00019 --> up = 0 , down = 0 -- rand = 0 ( 21) Pass 21: obj. 0.00019 --> up = 0 , down = 0 -- rand = 0 ( 17) perturbation applied Pass 22: obj. 1.42881 --> No solution found this major pass Before mini branch and bound, 7 integers at bound fixed and 2369 continuous Mini branch and bound did not improve solution (2.13 seconds) After 2.13 seconds - Feasibility pump exiting - took 2.12 seconds Integer solution of 2.88825e+07 found by feasibility pump after 0 iterations and 0 nodes (2.13 seconds) Full problem 1496 rows 3322 columns, reduced to 1299 rows 3027 columns - too large 28 added rows had average density of 5.5 At root node, 28 cuts changed objective from 2.82717e+07 to 2.87163e+07 in 7 passes Cut generator 0 (Probing) - 49 row cuts (21 active), 0 column cuts in 0.032 seconds - new frequency is 1 Cut generator 1 (Gomory) - 2 row cuts (0 active), 0 column cuts in 0.004 seconds - new frequency is -100 Cut generator 2 (Knapsack) - 0 row cuts (0 active), 0 column cuts in 0.052 seconds - new frequency is -100 Cut generator 3 (Clique) - 0 row cuts (0 active), 0 column cuts in -0.000 seconds - new frequency is -100 Cut generator 4 (MixedIntegerRounding2) - 8 row cuts (2 active), 0 column cuts in 0.004 seconds - new frequency is -100 Cut generator 5 (FlowCover) - 0 row cuts (0 active), 0 column cuts in 0.008 seconds - new frequency is -100 Cut generator 6 (TwoMirCuts) - 13 row cuts (5 active), 0 column cuts in 0.028 seconds - new frequency is -100 After 0 nodes, 1 on tree, 2.88825e+07 best solution, best possible 2.87163e+07 (2.90 seconds) Search completed - best objective 28882470.94755348, took 404 iterations and 2 nodes (3.32 seconds) Strong branching done 24 times (1360 iterations), fathomed 1 nodes and fixed 0 variables Maximum depth 0, 0 variables fixed on reduced cost Cuts at root node changed objective from 2.82717e+07 to 2.87163e+07 Probing was tried 8 times and created 51 cuts of which 22 were active after adding rounds of cuts (0.036 seconds) Gomory was tried 7 times and created 2 cuts of which 0 were active after adding rounds of cuts (0.004 seconds) Knapsack was tried 7 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.052 seconds) Clique was tried 7 times and created 0 cuts of which 0 were active after adding rounds of cuts (-0.000 seconds) MixedIntegerRounding2 was tried 7 times and created 8 cuts of which 2 were active after adding rounds of cuts (0.004 seconds) FlowCover was tried 1 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.008 seconds) TwoMirCuts was tried 7 times and created 13 cuts of which 5 were active after adding rounds of cuts (0.028 seconds) Result - Finished objective 28882470.94755348 after 2 nodes and 404 iterations - took 4.39 seconds (total time 4.66) Total time 6.08 Solved to optimality. Writing solution. Objective: 2.88825e+07 Time: 6.09 s --- Restarting execution --- rentacar.gms(124) 0 Mb --- Reading solution for model m --- rentacar.gms(124) 6 Mb *** Status: Normal completion --- Job rentacar.gms Stop 08/21/08 12:43:19 elapsed 0:00:06.531