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 dataDumasDumasDumasDumasGendreauGendreauGendreauGendreauGendreauGendreauGendreau
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: Gendreau, time window factor: 100

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 "Gendreau et al. 1998. A Generalized Insertion Heuristic for the Traveling Salesman Problem with Time Windows. Operations Research, 43, 330 - 335."

Solutions obtained
LabelDescription
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

Solutions and bounds obtained, 'Gendreau' instances (w=100)
InstanceSizemtz-twmtz-strongmtz-2idx
n100w100.001 100 no sol, 595 705, 598 no sol, 541
n100w100.002 100 no sol, 560 no sol, 562 no sol, 508
n100w100.003 100 694, 650 697, 654 no sol, 599
n100w100.004 100 no sol, 628 no sol, 637 no sol, 573
n100w100.005 100 590, 533 583, 541 no sol, 437