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Paper ID: 2702

Phase transition properties of clustered travelling salesman problem instances generated with evolutionary computation
van Hemert,J.I. Urquhart,N.B. ,

Appeared in: LNCS,Birmingham, UK
Page Numbers:150--159
Publisher: Springer-Verlag
Year: 2004
ISBN/ISSN: 3-540-23092-0
Contributing Organisation(s):
Field of Science: e-Science

URL: http://www.vanhemert.co.uk/files/clustered-phase-transition-tsp.tar.gz

Abstract: This paper introduces a generator that creates problem instances for the Euclidean symmetric travelling salesman problem. To fit real world problems, we look at maps consisting of clustered nodes. Uniform random sampling methods do not result in maps where the nodes are spread out to form identifiable clusters. To improve upon this, we propose an evolutionary algorithm that uses the layout of nodes on a map as its genotype. By optimising the spread until a set of constraints is satisfied, we are able to produce better clustered maps, in a more robust way. When varying the number of clusters in these maps and, when solving the Euclidean symmetric travelling salesman person using Chained Lin-Kernighan, we observe a phase transition in the form of an easy-hard-easy pattern.

Keywords: problem evolving, evolutionary computation, travelling salesman,


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