Multilayer variable neighborhood search for two‐level uncapacitated facility location problems with single assignment

Bernard Gendron 1 Paul-Virak Khuong 1 Frédéric Semet 2
1 CIRRELT
CIRRELT - Centre Interuniversitaire de Recherche sur les Réseaux d'Entreprise, la Logistique et le Transport
2 INOCS - Integrated Optimization with Complex Structure
ULB - Université Libre de Bruxelles [Bruxelles], Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : We develop a variant of the variable neighborhood search (VNS) metaheuristic called the multilayer VNS (MLVNS). It consists in partitioning the neighborhood structures into multiple layers. For each layer inline image, a VNS defined on the associated neighborhood structures is invoked, each move being evaluated and completed by a recursive call to the MLVNS at layer inline image. A specific MLVNS is developed to solve approximately a class of two-level uncapacitated facility location problems with single assignment (TUFLPS), when only mild assumptions are imposed on the cost functions. Two special cases are used to illustrate the efficiency of the MLVNS: the classical TUFLPS and a problem with modular costs derived from a real-life case. To assess the efficiency of the MLVNS, computational results on a large set of instances are compared with those obtained by slope scaling heuristic methods and by solving integer programming models using a state-of-the-art commercial solver.
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Journal articles
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https://hal.archives-ouvertes.fr/hal-01223087
Contributor : Frédéric Semet <>
Submitted on : Sunday, November 1, 2015 - 10:41:05 PM
Last modification on : Thursday, October 17, 2019 - 2:46:03 PM

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  • HAL Id : hal-01223087, version 1

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Bernard Gendron, Paul-Virak Khuong, Frédéric Semet. Multilayer variable neighborhood search for two‐level uncapacitated facility location problems with single assignment. Networks, Wiley, 2015, 66 (3), pp.214-234. ⟨hal-01223087⟩

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