Rights statement: The final, definitive version of this article has been published in the Journal, Computers & Operations Research 51, 2014, © ELSEVIER.
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Pricing routines for vehicle routing with time windows on road networks
AU - Letchford, Adam
AU - Nasiri, Saeideh D.
AU - Oukil, Amar
N1 - The final, definitive version of this article has been published in the Journal, Computers & Operations Research 51, 2014, © ELSEVIER.
PY - 2014/11
Y1 - 2014/11
N2 - Several very effective exact algorithms have been developed for vehicle routing problems with time windows. Unfortunately, most of these algorithms cannot be applied to instances that are defined on road networks, because they implicitly assume that the cheapest path between two customers is equal to the quickest path. Garaix and coauthors proposed to tackle this issue by first storing alternative paths in an auxiliary multi-graph, and then using that multi-graph within a branch-and-price algorithm. We show that, if one works with the original road network rather than the multi-graph, then one can solve the pricing subproblem more quickly, in both theory and practice.
AB - Several very effective exact algorithms have been developed for vehicle routing problems with time windows. Unfortunately, most of these algorithms cannot be applied to instances that are defined on road networks, because they implicitly assume that the cheapest path between two customers is equal to the quickest path. Garaix and coauthors proposed to tackle this issue by first storing alternative paths in an auxiliary multi-graph, and then using that multi-graph within a branch-and-price algorithm. We show that, if one works with the original road network rather than the multi-graph, then one can solve the pricing subproblem more quickly, in both theory and practice.
KW - vehicle routing
KW - Combinatorial optimisation
KW - Bi-criteria shortest paths
U2 - 10.1016/j.cor.2014.06.022
DO - 10.1016/j.cor.2014.06.022
M3 - Journal article
VL - 51
SP - 331
EP - 337
JO - Computers and Operations Research
JF - Computers and Operations Research
SN - 0305-0548
ER -