Submitted manuscript, 563 KB, PDF document
Research output: Working paper
Research output: Working paper
}
TY - UNPB
T1 - Pricing routines for vehicle routing with time windows on road networks
AU - Letchford, Adam
AU - Nasiri, Saeideh D.
N1 - It was published in "Computers & Operations Research" in August 2014.
PY - 2014
Y1 - 2014
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
M3 - Working paper
T3 - Lancaster University Management School Working Paper Series
BT - Pricing routines for vehicle routing with time windows on road networks
PB - The Department of Management Science
CY - Lancaster University
ER -