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Good triangulations yield good tours

Letchford, A N and Pearson, N (2008) Good triangulations yield good tours. Computers and Operations Research, 35 (2). pp. 638-647. ISSN 0305-0548

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    Abstract

    Consider the following heuristic for planar Euclidean instances of the Traveling Salesman Problem (TSP): select a subset of the edges which induces a planar graph, and solve either the TSP or its graphical relaxation on that graph. In this paper, we give several motivations for considering this heuristic, along with extensive computational results. It turns out that the Delaunay and greedy triangulations make effective choices for the induced planar graph. Indeed, our experiments show that the resulting tours are on average within 0.1% of optimality.

    Item Type: Article
    Journal or Publication Title: Computers and Operations Research
    Uncontrolled Keywords: Delaunay triangulation ; traveling salesman problem
    Subjects: H Social Sciences > HB Economic Theory
    Departments: Lancaster University Management School > Management Science
    ID Code: 44518
    Deposited By: ep_importer_pure
    Deposited On: 11 Jul 2011 19:17
    Refereed?: Yes
    Published?: Published
    Last Modified: 09 Apr 2014 22:25
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/44518

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