Research Article

Column Generation for a Multitrip Vehicle Routing Problem with Time Windows, Driver Work Hours, and Heterogeneous Fleet

Table 2

Results obtained for R2 instances with the first 50 customers.

InstanceCustomer qty.Route qty.Heuristic costHeuristic time (s)Lower boundLower bound time (s)Heuristic error (%)Iterations

R201501629.643323617.53331.92356
R202501580.792388540.4067586.95460
R203501542.673892515.961333674.92288
R204501504.9711050 * * * *
R205501582.809423563.371413.33583
R206501548.465541529.2405203.50583
R207501522.382557 * * * *
R208501508.4121090 * * * *
R209501543.668833526.9398143.07775
R210501556.702532532.6274934.32576
R211501514.903985489.29648434.97392
548.675692539.42251054.12777

R201502631.263521617.53362.17583
R202502584.234603552.82727125.37688
R203502547.387726 * * * *
R204502516.083832 * * * *
R205502585.736660563.2922133.83290
R206502546.744680527.54652983.51192
R207502523.277771 * * * *
R208502509.368851 * * * *
R209502552.3511224519.86629445.88194
R210502559.125655530.57427365.10687
R211502524.933776491.795221756.313105
552.773754543.34851554.59991

R201503637.648655617.533183.15591
R202503581.999756555.68984414.52191
R203503546.259871 * * * *
R204503514.1581002 * * * *
R205503585.951823562.82010513.94884
R206503552.396825526.078251374.76495
R207503531.691880 * * * *
R208503507.9041039 * * * *
R209503550.108854517.29773515.964101
R210503559.496859534.958180954.38691
R211503524.667954494.806920185.691109
553.843865544.169217304.63395

Value of cells marked with * were not computed due to an overall time greater than 93000 s.