The University of Southampton
University of Southampton Institutional Repository

A branch-and-cut algorithm for the single truck and trailer routing problem with satellite depots

A branch-and-cut algorithm for the single truck and trailer routing problem with satellite depots
A branch-and-cut algorithm for the single truck and trailer routing problem with satellite depots
In the single truck and trailer routing problem with satellite depots (STTRPSD), a truck with a detachable trailer based at a main depot must serve the demand of a set of customers accessible only by truck. Therefore, before serving the customers, it is necessary to detach the trailer in an appropriate parking place (called either a satellite depot or a trailer point) and transfer goods between the truck and the trailer. This problem has applications in milk collection for farms that cannot be reached using large vehicles. In this work we present an integer programming formulation of the STTRPSD. This formulation is tightened with several families of valid inequalities for which we have developed different (exact and heuristic) separation procedures. Using these elements, we have implemented a branch-and-cut algorithm for the solution of the STTRPSD. A computational experiment with published instances shows that the proposed branch-and-cut algorithm consistently solves problems with up to 50 customers and 10 satellite depots, and it has also been able to solve instances with up to 20 satellite depots and 100 clustered customers.
vehicle routing problem, branch and cut
0041-1655
735 - 749
Belenguer, Jose M.
3d8924bb-a0aa-437a-be5f-ab815d133cad
Benavent, Enrique
2702d3fe-33dc-4b52-b39e-21ab6fe299c6
Martinez Sykora, Antonio
2f9989e1-7860-4163-996c-b1e6f21d5bed
Prins, Christian
d251b11e-96e6-4ece-8af4-5891b41dc157
Prodhon, Caroline
33ed17e9-2d1e-45c7-ae4e-35f3945c7512
Villegas, Juan G.
78426095-5e4a-4baf-9d75-3ba3d99c0de7
Belenguer, Jose M.
3d8924bb-a0aa-437a-be5f-ab815d133cad
Benavent, Enrique
2702d3fe-33dc-4b52-b39e-21ab6fe299c6
Martinez Sykora, Antonio
2f9989e1-7860-4163-996c-b1e6f21d5bed
Prins, Christian
d251b11e-96e6-4ece-8af4-5891b41dc157
Prodhon, Caroline
33ed17e9-2d1e-45c7-ae4e-35f3945c7512
Villegas, Juan G.
78426095-5e4a-4baf-9d75-3ba3d99c0de7

Belenguer, Jose M., Benavent, Enrique, Martinez Sykora, Antonio, Prins, Christian, Prodhon, Caroline and Villegas, Juan G. (2015) A branch-and-cut algorithm for the single truck and trailer routing problem with satellite depots. Transportation Science, 735 - 749. (doi:10.1287/trsc.2014.0571).

Record type: Article

Abstract

In the single truck and trailer routing problem with satellite depots (STTRPSD), a truck with a detachable trailer based at a main depot must serve the demand of a set of customers accessible only by truck. Therefore, before serving the customers, it is necessary to detach the trailer in an appropriate parking place (called either a satellite depot or a trailer point) and transfer goods between the truck and the trailer. This problem has applications in milk collection for farms that cannot be reached using large vehicles. In this work we present an integer programming formulation of the STTRPSD. This formulation is tightened with several families of valid inequalities for which we have developed different (exact and heuristic) separation procedures. Using these elements, we have implemented a branch-and-cut algorithm for the solution of the STTRPSD. A computational experiment with published instances shows that the proposed branch-and-cut algorithm consistently solves problems with up to 50 customers and 10 satellite depots, and it has also been able to solve instances with up to 20 satellite depots and 100 clustered customers.

Full text not available from this repository.

More information

Published date: 31 March 2015
Keywords: vehicle routing problem, branch and cut
Organisations: Decision Analytics & Risk

Identifiers

Local EPrints ID: 408681
URI: https://eprints.soton.ac.uk/id/eprint/408681
ISSN: 0041-1655
PURE UUID: 0436d00a-a427-40b9-998c-fd1e9fdac01c
ORCID for Antonio Martinez Sykora: ORCID iD orcid.org/0000-0002-2435-3113

Catalogue record

Date deposited: 26 May 2017 04:02
Last modified: 15 Aug 2019 00:37

Export record

Altmetrics

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×