# Traveling Salesman Problem with Time Windows

Results obtained using Gurobi for solving the Traveling Salesman Problem with Time Windows, using the models described in Mathematical Optimization: Solving Problems using Python and Gurobi. Benchmark instances are available in this site. CPU time limited to 3600 seconds. (Click on values for selecting instance type and time window factor.)

 Performance data Dumas Dumas Dumas Dumas Gendreau Gendreau Gendreau Gendreau Gendreau Gendreau Gendreau CPU time required [20] [40] [60] [80] [80] [100] [120] [140] [160] [180] [200] Number of solution failures [20] [40] [60] [80] [80] [100] [120] [140] [160] [180] [200] Solutions [20] [40] [60] [80] [80] [100] [120] [140] [160] [180] [200]

## Solutions obtained

### Instance type: Dumas, time window factor: 80

Results obtained using Gurobi for solving the Traveling Salesman Problem with Time Windows, using the models described in Mathematical Optimization: Solving Problems using Python and Gurobi. Benchmark instances are available in this site. CPU time limited to 3600 seconds. (Click on values for selecting instance type and time window factor.)

Benchmark instances used are described in "Dumas et al. 1995. An Optimal Algorithm for the Traveling Salesman Problem with Time Windows. Operations Research, 43, 367 - 371."

 Label Description mtz-tw model based on Miller-Tucker-Zemlin's one-index potential formulation mtz-strong based on Miller-Tucker-Zemlin's one-index potential formulation, with stronger constraints mtz-2idx based on Miller-Tucker-Zemlin's formulation, two-index potential formulation

 Instance Size mtz-tw mtz-strong mtz-2idx n20w80.001 20 329* 329* 329* n20w80.002 20 338* 338* 338* n20w80.003 20 320* 320* 320* n20w80.004 20 304* 304* 304* n20w80.005 20 264* 264* 264* n40w80.001 40 395* 395* 395* n40w80.002 40 429* 431* 429, 417 n40w80.003 40 410* 412* 410, 403 n40w80.004 40 417* 417* 417* n40w80.005 40 344* 344* 344* n60w80.001 60 457* 458* no sol, 386 n60w80.002 60 498, 482 498* 498, 433 n60w80.003 60 550, 534 550, 541 no sol, 478 n60w80.004 60 566* 566* 568, 530 n60w80.005 60 468* 468, 457 no sol, 399 n80w80.001 80 628, 602 624* no sol, 548 n80w80.002 80 591, 579 594, 582 no sol, 450 n80w80.003 80 no sol, 539 604, 546 no sol, 498 n80w80.004 80 604, 566 599, 570 no sol, 534 n80w80.005 80 no sol, 533 571, 552 no sol, 492