Abstract
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 co-authors 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.
| Original language | English |
|---|---|
| Pages (from-to) | 331-337 |
| Number of pages | 7 |
| Journal | Computers and Operations Research |
| Volume | 51 |
| DOIs | |
| Publication status | Published - 2014 |
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Keywords
- Bi-criteria shortest paths
- Combinatorial optimization
- Vehicle routing
ASJC Scopus subject areas
- Computer Science(all)
- Management Science and Operations Research
- Modelling and Simulation
Cite this
Pricing routines for vehicle routing with time windows on road networks. / Letchford, Adam N.; Nasiri, Saeideh D.; Oukil, Amar.
In: Computers and Operations Research, Vol. 51, 2014, p. 331-337.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Pricing routines for vehicle routing with time windows on road networks
AU - Letchford, Adam N.
AU - Nasiri, Saeideh D.
AU - Oukil, Amar
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 co-authors 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 co-authors 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 - Bi-criteria shortest paths
KW - Combinatorial optimization
KW - Vehicle routing
UR - http://www.scopus.com/inward/record.url?scp=84904867922&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84904867922&partnerID=8YFLogxK
U2 - 10.1016/j.cor.2014.06.022
DO - 10.1016/j.cor.2014.06.022
M3 - Article
VL - 51
SP - 331
EP - 337
JO - Surveys in Operations Research and Management Science
JF - Surveys in Operations Research and Management Science
SN - 0305-0548
ER -