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Exploiting planarity in separation routines for the symmetric travelling salesman problem

Letchford, A N and Pearson, N (2005) Exploiting planarity in separation routines for the symmetric travelling salesman problem. Working Paper. The Department of Management Science, Lancaster University.

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Abstract

At present, the most successful approach to solving large-scale instances of the Symmetric Travelling Salesman Problem to optimality is branch-and-cut. The success of branch-and-cut is due in large part to the availability of effective separation procedures; that is, routines for identifying violated linear constraints. For two particular classes of constraints, known as comb and domino-parity constraints, it has been shown that separation becomes easier when the underlying graph is planar. We continue this line of research by showing how to exploit planarity in the separation of three other classes of constraints: subtour elimination, 2-matching and simple domino-parity constraints.

Item Type: Monograph (Working Paper)
Additional Information: This was eventually published as: A.N. Letchford & N.A. Pearson (2008) Exploiting planarity in separation routines for the symmetric traveling salesman problem. Discr. Opt., 5(2), 220-230.
Uncontrolled Keywords: travelling salesman problem ; planar graphs ; cutting planes
Subjects: UNSPECIFIED
Departments: Lancaster University Management School > Management Science
ID Code: 48794
Deposited By: ep_importer_pure
Deposited On: 11 Jul 2011 22:13
Refereed?: No
Published?: Published
Last Modified: 09 Apr 2014 20:50
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/48794

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