A Lagrangian-Based Branch-and-Bound Algorithm ...
Document type :
Article dans une revue scientifique: Article original
DOI :
Title :
A Lagrangian-Based Branch-and-Bound Algorithm for the Two-Level Uncapacitated Facility Location Problem with Single-Assignment Constraints
Author(s) :
Gendron, Bernard [Auteur]
Centre Interuniversitaire de Recherche sur les Réseaux d'Entreprise, la Logistique et le Transport [CIRRELT]
Khuong, Paul-Virak [Auteur]
Centre Interuniversitaire de Recherche sur les Réseaux d'Entreprise, la Logistique et le Transport [CIRRELT]
Semet, Frédéric [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Integrated Optimization with Complex Structure [INOCS]
Centre Interuniversitaire de Recherche sur les Réseaux d'Entreprise, la Logistique et le Transport [CIRRELT]
Khuong, Paul-Virak [Auteur]
Centre Interuniversitaire de Recherche sur les Réseaux d'Entreprise, la Logistique et le Transport [CIRRELT]
Semet, Frédéric [Auteur]

Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Integrated Optimization with Complex Structure [INOCS]
Journal title :
Transportation Science
Pages :
1286 - 1299
Publisher :
INFORMS
Publication date :
2016-06
ISSN :
0041-1655
English keyword(s) :
Telecommunications
Plant location
Neighborhoods
Mixed integer programming
Heuristic methods
Freight traffic
Branch and bound algorithms
Plant location
Neighborhoods
Mixed integer programming
Heuristic methods
Freight traffic
Branch and bound algorithms
HAL domain(s) :
Computer Science [cs]/Operations Research [math.OC]
English abstract : [en]
We consider the two-level uncapacitated facility location problem with single-assignment constraints (TUFLP-S), a problem that arises in industrial applications in freight transportation and telecommunications. We present ...
Show more >We consider the two-level uncapacitated facility location problem with single-assignment constraints (TUFLP-S), a problem that arises in industrial applications in freight transportation and telecommunications. We present a new Lagrangian relaxation approach for the TUFLP-S, based on solving a single-level uncapacitated facility location problem (UFLP) as the Lagrangian subproblem. We also develop a Lagrangian heuristic that includes a mixed-integer programming–based large neighborhood search heuristic exploring neighborhoods by solving a series of small UFLPs. The dual and primal bounds thus obtained are used within an enumerative algorithm that implements specialized branching rules. Our computational experiments on instances derived from an industrial application in freight transportation as well as on large, hard, artificial instances confirm the efficiency of the authors specialized branch-and-bound algorithm.Show less >
Show more >We consider the two-level uncapacitated facility location problem with single-assignment constraints (TUFLP-S), a problem that arises in industrial applications in freight transportation and telecommunications. We present a new Lagrangian relaxation approach for the TUFLP-S, based on solving a single-level uncapacitated facility location problem (UFLP) as the Lagrangian subproblem. We also develop a Lagrangian heuristic that includes a mixed-integer programming–based large neighborhood search heuristic exploring neighborhoods by solving a series of small UFLPs. The dual and primal bounds thus obtained are used within an enumerative algorithm that implements specialized branching rules. Our computational experiments on instances derived from an industrial application in freight transportation as well as on large, hard, artificial instances confirm the efficiency of the authors specialized branch-and-bound algorithm.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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