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Genetic Algorithms for the Travelling Salesman Problem: A Review of Representations and Operators

Artificial Intelligence ReviewPublished 1 April 1999
Pedro Larrañaga, C.M.H. Kuijpers, R.H. Murga, Iñaki Inza, S. Dizdarevic
Citations820
SJR quartileQ1
SJR score3.01
SNIP5.11

TL;DR

This paper presents crossover and mutation operators, developed to tackle the Travelling Salesman Problem with Genetic Algorithms with different representations such as: binary representation, path representation, adjacency representation, ordinal representation and matrix representation.

Abstract

This paper is the result of a literature study carried out by the authors. It is a review of the different attempts made to solve the Travelling Salesman Problem with Genetic Algorithms. We present crossover and mutation operators, developed to tackle the Travelling Salesman Problem with Genetic Algorithms with different representations such as: binary representation, path representation, adjacency representation, ordinal representation and matrix representation. Likewise, we show the experimental results obtained with different standard examples using combination of crossover and mutation operators in relation with path representation.

Keywords

Computer ScienceDecision SciencesEngineering