Gurobi 5.0.1 (linux64) logging started Wed Apr 24 02:13:03 2013 Optimize a model with 48369 rows, 47679 columns and 190509 nonzeros Presolve removed 1594 rows and 0 columns Presolve time: 0.28s Presolved: 46775 rows, 47679 columns, 187321 nonzeros Variable types: 47610 continuous, 69 integer (69 binary) Root relaxation: objective 8.404490e+04, 10012 iterations, 1.79 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 84044.9029 0 3 - 84044.9029 - - 2s H 0 0 85208.000000 84044.9029 1.37% - 2s 0 0 84053.9708 0 4 85208.0000 84053.9708 1.35% - 2s 0 0 84053.9708 0 4 85208.0000 84053.9708 1.35% - 2s H 0 0 84520.666667 84053.9708 0.55% - 3s H 0 0 84324.000000 84053.9708 0.32% - 3s 0 0 84053.9708 0 3 84324.0000 84053.9708 0.32% - 5s 0 0 84053.9708 0 4 84324.0000 84053.9708 0.32% - 5s 0 0 84054.8646 0 5 84324.0000 84054.8646 0.32% - 5s 0 2 84055.8469 0 5 84324.0000 84055.8469 0.32% - 6s * 22 0 5 84282.000000 84282.0000 0.0% 73.3 6s Cutting planes: Gomory: 2 Explored 23 nodes (15036 simplex iterations) in 6.82 seconds Thread count was 1 (of 16 available processors) Optimal solution found (tolerance 1.00e-04) Best objective 8.428200000000e+04, best bound 8.428200000000e+04, gap 0.0%