A memetic algorithm for the generalized traveling salesman problem

  • Authors:
  • Gregory Gutin;Daniel Karapetyan

  • Affiliations:
  • Royal Holloway, University of London, Egham, UK TW20 0EX;Royal Holloway, University of London, Egham, UK TW20 0EX

  • Venue:
  • Natural Computing: an international journal
  • Year:
  • 2010

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Abstract

The generalized traveling salesman problem (GTSP) is an extension of the well-known traveling salesman problem. In GTSP, we are given a partition of cities into groups and we are required to find a minimum length tour that includes exactly one city from each group. The recent studies on this subject consider different variations of a memetic algorithm approach to the GTSP. The aim of this paper is to present a new memetic algorithm for GTSP with a powerful local search procedure. The experiments show that the proposed algorithm clearly outperforms all of the known heuristics with respect to both solution quality and running time. While the other memetic algorithms were designed only for the symmetric GTSP, our algorithm can solve both symmetric and asymmetric instances.