Gurobi 5.0.1 (linux64) logging started Tue Nov 20 05:48:40 2012 Optimize a model with 173 rows, 57 columns and 346 nonzeros Presolve removed 53 rows and 2 columns Presolve time: 0.00s Presolved: 120 rows, 55 columns, 276 nonzeros Variable types: 0 continuous, 55 integer (55 binary) Found heuristic solution: objective 18.0000000 Root relaxation: objective 2.300000e+01, 74 iterations, 0.00 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 23.00000 0 46 18.00000 23.00000 27.8% - 0s H 0 0 19.0000000 23.00000 21.1% - 0s 0 0 23.00000 0 42 19.00000 23.00000 21.1% - 0s H 0 0 20.0000000 23.00000 15.0% - 0s H 0 0 21.0000000 23.00000 9.52% - 0s 0 0 23.00000 0 40 21.00000 23.00000 9.52% - 0s 0 0 22.75000 0 47 21.00000 22.75000 8.33% - 0s 0 0 22.42857 0 51 21.00000 22.42857 6.80% - 0s 0 0 22.27273 0 51 21.00000 22.27273 6.06% - 0s 0 0 22.11111 0 52 21.00000 22.11111 5.29% - 0s 0 0 22.00000 0 52 21.00000 22.00000 4.76% - 0s 0 0 22.00000 0 49 21.00000 22.00000 4.76% - 0s 0 0 cutoff 0 21.00000 21.99998 4.76% - 0s Cutting planes: Gomory: 1 Zero half: 20 Explored 0 nodes (260 simplex iterations) in 0.02 seconds Thread count was 1 (of 16 available processors) Optimal solution found (tolerance 1.00e-04) Best objective 2.100000000000e+01, best bound 2.100000000000e+01, gap 0.0%