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A Tabu search heuristic for the vehicle routing problem with two‐dimensional loading constraints

Michel Gendreau, Manuel Iori, Gilbert Laporte et Silvaro Martello

Article de revue (2007)

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Abstract

This article addresses the well-known Capacitated Vehicle Routing Problem (CVRP), in the special case where the demand of a customer consists of a certain number of two-dimensional weighted items. The problem calls for the minimization of the cost of transportation needed for the delivery of the goods demanded by the customers, and carried out by a fleet of vehicles based at a central depot. In order to accommodate all items on the vehicles, a feasibility check of the two-dimensional packing (2L) must be executed on each vehicle. The overall problem, denoted as 2L-CVRP, is NP-hard and particularly difficult to solve in practice. We propose a Tabu Search algorithm, in which the loading component of the problem is solved through heuristics, lower bounds, and a truncated branch-and-bound procedure. The effectiveness of the algorithm is demonstrated through extensive computational experiments.

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Matériel d'accompagnement:
Département: Département de mathématiques et de génie industriel
Centre de recherche: CIRRELT - Centre interuniversitaire de recherche sur les réseaux d'entreprise, la logistique et le transport
Organismes subventionnaires: Ministero dell’Istruzione, dell’Università e dellaRicerca (MIUR), Consiglio Nazionale delle Ricerche (CNR), Natural Sciences and Engineering Research Council of Canada (NSERC)
Numéro de subvention: OPG0038816, OPG0039682
URL de PolyPublie: https://publications.polymtl.ca/74886/
Titre de la revue: Networks (vol. 51, no 1)
Maison d'édition: Wiley
DOI: 10.1002/net.20192
URL officielle: https://doi.org/10.1002/net.20192
Date du dépôt: 04 août 2026 09:49
Dernière modification: 16 sept. 2026 09:34
Citer en APA 7: Gendreau, M., Iori, M., Laporte, G., & Martello, S. (2007). A Tabu search heuristic for the vehicle routing problem with two‐dimensional loading constraints. Networks, 51(1), 4-18. https://doi.org/10.1002/net.20192

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