Gurobi 5.0.1 (linux64) logging started Tue Nov 20 05:48:39 2012 Optimize a model with 172 rows, 54 columns and 344 nonzeros Presolve removed 50 rows and 0 columns Presolve time: 0.00s Presolved: 122 rows, 54 columns, 285 nonzeros Variable types: 0 continuous, 54 integer (54 binary) Found heuristic solution: objective 18.0000000 Root relaxation: objective 2.166667e+01, 68 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 21.66667 0 40 18.00000 21.66667 20.4% - 0s H 0 0 20.0000000 21.66667 8.33% - 0s 0 0 21.00000 0 34 20.00000 21.00000 5.00% - 0s 0 0 21.00000 0 44 20.00000 21.00000 5.00% - 0s 0 0 cutoff 0 20.00000 20.99998 5.00% - 0s Cutting planes: Gomory: 1 Zero half: 42 Explored 0 nodes (132 simplex iterations) in 0.01 seconds Thread count was 1 (of 16 available processors) Optimal solution found (tolerance 1.00e-04) Best objective 2.000000000000e+01, best bound 2.000000000000e+01, gap 0.0%