A GRASPxELS with Depth First Search Split Procedure for the HVRP

Split procedures have been proved to be efficient within global framework optimization for routing problems by splitting giant tour into trips. This is done by generating optimal shortest path within an auxiliary graph built from the giant tour. An efficient application has been introduced for the first time by Lacomme et al. (2001) within a metaheuristic approach to solve the Capacitated Arc Routing Problem (CARP) and second for the Vehicle Routing Problem (VRP) by Prins (2004). In a further step, the Split procedure embedded in metaheuristics has been extended to address more complex routing problems thanks to a heuristic splitting of the giant tour using the generation of labels on the nodes of the auxiliary graph linked to resource management. Lately, Duhamel et al. (2010) defined a new Split family based on a depth first search approach during labels generation in graph. The efficiency of the new split method has been first evaluated in location routing problem with a GRASP metaheuristic. Duhamel et al. (2010) provided full numerical experiments on this topic.

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Source https://hal.science/hal-00704498
Author Christophe, Duhamel, Lacomme, Philippe, Prodhon, Caroline
Maintainer CCSD
Last Updated May 15, 2026, 21:20 (UTC)
Created May 15, 2026, 21:20 (UTC)
Identifier hal-00704498
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes (LIMOS) ; Université Blaise Pascal - Clermont-Ferrand 2 (UBP)-Université d'Auvergne - Clermont-Ferrand I (UdA)-SIGMA Clermont (SIGMA Clermont)-Ecole Nationale Supérieure des Mines de St Etienne (ENSM ST-ETIENNE)-Centre National de la Recherche Scientifique (CNRS)
creator Christophe, Duhamel
date 2010-04-15T00:00:00
harvest_object_id c3e66aeb-dd6e-4680-9a1f-5e016b86099b
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-08-12T00:00:00
set_spec type:REPORT