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Balanced vehicle routing: Polyhedral analysis and branch-and-cut algorithm

Balanced vehicle routing: Polyhedral analysis and branch-and-cut algorithm
Balanced vehicle routing: Polyhedral analysis and branch-and-cut algorithm
This paper studies a variant of the unit-demand Capacitated Vehicle Routing Problem, namely the Balanced Vehicle Routing Problem, where each route is required to visit a maximum and a minimum number of customers. A polyhedral analysis for the problem is presented, including the dimension of the associated polyhedron, description of several families of facet-inducing inequalities and the relationship between these inequalities. The inequalities are used in a branch-and-cut algorithm, which is shown to computationally outperform the best approach known in the literature for the solution of this problem.
0377-2217
452-463
Bektas, Tolga
0db10084-e51c-41e5-a3c6-417e0d08dac9
Gouveia, Luis
128ee1cb-d547-456b-bda3-74115e39a60f
Martinez Sykora, Antonio
2f9989e1-7860-4163-996c-b1e6f21d5bed
Salazar-Gonzalez, Juan-Jose
a0e97ca9-24e5-4e00-a5b5-ee43bb58d729
Bektas, Tolga
0db10084-e51c-41e5-a3c6-417e0d08dac9
Gouveia, Luis
128ee1cb-d547-456b-bda3-74115e39a60f
Martinez Sykora, Antonio
2f9989e1-7860-4163-996c-b1e6f21d5bed
Salazar-Gonzalez, Juan-Jose
a0e97ca9-24e5-4e00-a5b5-ee43bb58d729

Bektas, Tolga, Gouveia, Luis, Martinez Sykora, Antonio and Salazar-Gonzalez, Juan-Jose (2019) Balanced vehicle routing: Polyhedral analysis and branch-and-cut algorithm. European Journal of Operational Research, 273 (2), 452-463. (doi:10.1016/j.ejor.2018.08.034).

Record type: Article

Abstract

This paper studies a variant of the unit-demand Capacitated Vehicle Routing Problem, namely the Balanced Vehicle Routing Problem, where each route is required to visit a maximum and a minimum number of customers. A polyhedral analysis for the problem is presented, including the dimension of the associated polyhedron, description of several families of facet-inducing inequalities and the relationship between these inequalities. The inequalities are used in a branch-and-cut algorithm, which is shown to computationally outperform the best approach known in the literature for the solution of this problem.

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LBVRP - Accepted Manuscript
Available under License Creative Commons Attribution Non-commercial No Derivatives.
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More information

Accepted/In Press date: 20 August 2018
e-pub ahead of print date: 29 August 2018
Published date: 1 March 2019

Identifiers

Local EPrints ID: 424453
URI: http://eprints.soton.ac.uk/id/eprint/424453
DOI: doi:10.1016/j.ejor.2018.08.034
ISSN: 0377-2217
PURE UUID: ec66add8-8849-4f39-b5bb-20f94d756e95
ORCID for Tolga Bektas: ORCID iD orcid.org/0000-0003-0634-144X
ORCID for Antonio Martinez Sykora: ORCID iD orcid.org/0000-0002-2435-3113

Catalogue record

Date deposited: 05 Oct 2018 11:37
Last modified: 16 Mar 2024 07:02

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Contributors

Author: Tolga Bektas ORCID iD
Author: Luis Gouveia
Author: Antonio Martinez Sykora ORCID iD
Author: Juan-Jose Salazar-Gonzalez

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