Gurobi 5.0.1 (linux64) logging started Wed Apr 24 02:13:19 2013 Optimize a model with 48369 rows, 47679 columns and 190509 nonzeros Presolve removed 2997 rows and 0 columns Presolve time: 0.29s Presolved: 45372 rows, 47679 columns, 184515 nonzeros Variable types: 47610 continuous, 69 integer (69 binary) Root relaxation: objective 8.136923e+04, 10349 iterations, 1.78 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 81369.2299 0 5 - 81369.2299 - - 2s H 0 0 83561.000000 81369.2299 2.62% - 2s 0 0 81369.7514 0 7 83561.0000 81369.7514 2.62% - 2s 0 0 81369.7514 0 7 83561.0000 81369.7514 2.62% - 3s H 0 0 83386.945119 81369.7514 2.42% - 4s H 0 0 83324.375000 81369.7514 2.35% - 4s H 0 0 81617.000000 81369.7514 0.30% - 4s 0 0 81375.5162 0 5 81617.0000 81375.5162 0.30% - 5s 0 0 81376.0313 0 7 81617.0000 81376.0313 0.30% - 6s 0 0 81376.0313 0 7 81617.0000 81376.0313 0.30% - 6s 0 0 81394.8112 0 5 81617.0000 81394.8112 0.27% - 6s 0 2 81395.0645 0 5 81617.0000 81395.0645 0.27% - 7s Cutting planes: Flow cover: 1 Explored 27 nodes (16822 simplex iterations) in 7.82 seconds Thread count was 1 (of 16 available processors) Optimal solution found (tolerance 1.00e-04) Best objective 8.161700000000e+04, best bound 8.161700000000e+04, gap 0.0%