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Evolutionary divide and conquer (II) for the TSP

Mumford, Christine Lesley 1999. Evolutionary divide and conquer (II) for the TSP. Presented at: GECCO-99, Orlando, FL, USA, 13-17 July 1999. Published in: Banzhaf, Wolfgang, Daida, Jason M., Garzon, Max H., Honavar, Vasant, Jakiela, Mark J. and Smith, Robert E. eds. GECCO-99: Proceedings of the genetic and evolutionary computation conference. Orlando, FL.: Morgan Kauffman, pp. 1744-1749.

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Abstract

Results presented in recent papers demonstrate that it is possible to produce high quality solutions to TSP instances of up to several hundred cities using simple greedy heuristics when a Genetic Algorithm (GA) is used to perturb the city coordinates. The present paper extends the earlier studies to larger problems and a divide and conquer algorithm in the style of Richard Karp. Using a GA to perturb city coordinates in conjunction with a divide and conquer algorithm the feasibility of solving large problems to within a few percent of optimality is demonstrated. The exceptionally rapid execution times of Karp's algorithms together with their almost linear run-time scaling at O(nlogn) set them apart from most other heuristic algorithms.

Item Type: Conference or Workshop Item (Paper)
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Q Science > QA Mathematics > QA76 Computer software
Publisher: Morgan Kauffman
ISBN: 1558606114
Last Modified: 04 Jun 2017 04:03
URI: http://orca.cf.ac.uk/id/eprint/31847

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