Gurobi 5.0.1 (linux64) logging started Wed Apr 24 04:11:20 2013 Optimize a model with 69803 rows, 68973 columns and 275643 nonzeros Presolve removed 3266 rows and 0 columns Presolve time: 0.45s Presolved: 66537 rows, 68973 columns, 269111 nonzeros Variable types: 68890 continuous, 83 integer (83 binary) Root relaxation: objective 8.381362e+04, 11674 iterations, 2.67 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 83813.6241 0 5 - 83813.6241 - - 3s H 0 0 88767.000000 83813.6241 5.58% - 3s H 0 0 84361.000000 83813.6241 0.65% - 4s 0 0 83817.2951 0 6 84361.0000 83817.2951 0.64% - 4s 0 0 83817.4119 0 6 84361.0000 83817.4119 0.64% - 4s 0 0 83817.4119 0 5 84361.0000 83817.4119 0.64% - 10s 0 0 83824.4235 0 6 84361.0000 83824.4235 0.64% - 10s 0 0 83824.4235 0 6 84361.0000 83824.4235 0.64% - 10s 0 0 83824.4235 0 6 84361.0000 83824.4235 0.64% - 11s 0 2 83827.4674 0 6 84361.0000 83827.4674 0.63% - 13s H 7 7 84215.220472 83827.4674 0.46% 141 13s H 9 5 84209.666667 83827.4674 0.45% 126 13s * 11 5 9 84199.000000 83827.4674 0.44% 113 13s 26 8 cutoff 4 84199.0000 84040.0118 0.19% 132 15s Cutting planes: Gomory: 2 Flow cover: 9 Explored 51 nodes (23465 simplex iterations) in 16.00 seconds Thread count was 1 (of 16 available processors) Optimal solution found (tolerance 1.00e-04) Best objective 8.419900000000e+04, best bound 8.419900000000e+04, gap 0.0%