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Erschienen in: Natural Computing 1/2010

01.03.2010

A memetic algorithm for the generalized traveling salesman problem

verfasst von: Gregory Gutin, Daniel Karapetyan

Erschienen in: Natural Computing | Ausgabe 1/2010

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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.

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Fußnoten
1
We assume that s i+Ms i for the solution (s 1 s 2 ... s M ) and for any 1 ≤ i ≤ M.
 
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Metadaten
Titel
A memetic algorithm for the generalized traveling salesman problem
verfasst von
Gregory Gutin
Daniel Karapetyan
Publikationsdatum
01.03.2010
Verlag
Springer Netherlands
Erschienen in
Natural Computing / Ausgabe 1/2010
Print ISSN: 1567-7818
Elektronische ISSN: 1572-9796
DOI
https://doi.org/10.1007/s11047-009-9111-6

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