Gurobi 5.0.1 (linux64) logging started Tue Nov 20 05:48:55 2012 Optimize a model with 391 rows, 87 columns and 782 nonzeros Presolve removed 150 rows and 0 columns Presolve time: 0.00s Presolved: 241 rows, 87 columns, 606 nonzeros Variable types: 0 continuous, 87 integer (87 binary) Found heuristic solution: objective 23.0000000 Root relaxation: objective 3.163158e+01, 165 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 31.63158 0 78 23.00000 31.63158 37.5% - 0s H 0 0 28.0000000 31.63158 13.0% - 0s 0 0 30.94366 0 78 28.00000 30.94366 10.5% - 0s 0 0 30.76646 0 84 28.00000 30.76646 9.88% - 0s 0 0 30.68728 0 78 28.00000 30.68728 9.60% - 0s 0 0 30.62985 0 84 28.00000 30.62985 9.39% - 0s H 0 0 29.0000000 30.62985 5.62% - 0s 0 0 30.58824 0 79 29.00000 30.58824 5.48% - 0s 0 0 30.54579 0 81 29.00000 30.54579 5.33% - 0s 0 0 30.49775 0 82 29.00000 30.49775 5.16% - 0s 0 0 30.45269 0 83 29.00000 30.45269 5.01% - 0s 0 0 30.42653 0 83 29.00000 30.42653 4.92% - 0s 0 0 30.39310 0 83 29.00000 30.39310 4.80% - 0s 0 0 30.39241 0 83 29.00000 30.39241 4.80% - 0s 0 0 30.39241 0 83 29.00000 30.39241 4.80% - 0s 0 2 30.39020 0 83 29.00000 30.39020 4.79% - 0s Cutting planes: Gomory: 1 Clique: 2 Zero half: 26 Explored 7 nodes (697 simplex iterations) in 0.07 seconds Thread count was 1 (of 16 available processors) Optimal solution found (tolerance 1.00e-04) Best objective 2.900000000000e+01, best bound 2.900000000000e+01, gap 0.0%