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A cutting plane algorithm for the general routing problem

Corberan, A and Sanchis, J M and Letchford, A N (2001) A cutting plane algorithm for the general routing problem. Mathematical Programming, 90 (2). pp. 291-316. ISSN 0025-5610

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Abstract

The General Routing Problem (GRP) is the problem of finding a minimum cost route for a single vehicle, subject to the condition that the vehicle visits certain vertices and edges of a network. It contains the Rural Postman Problem, Chinese Postman Problem and Graphical Travelling Salesman Problem as special cases. We describe a cutting plane algorithm for the GRP based on facet-inducing inequalities and show that it is capable of providing very strong lower bounds and, in most cases, optimal solutions.

Item Type: Article
Journal or Publication Title: Mathematical Programming
Uncontrolled Keywords: cutting planes ; General Routing Problem ; Rural Postman Problem ; Arc Routing
Subjects:
Departments: Lancaster University Management School > Management Science
ID Code: 43271
Deposited By: ep_importer_pure
Deposited On: 11 Jul 2011 18:56
Refereed?: Yes
Published?: Published
Last Modified: 09 Apr 2014 22:19
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/43271

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