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International Conference on Intelligent Data Engineering and Automated Learning

IDEAL 2015: Intelligent Data Engineering and Automated Learning – IDEAL 2015 pp 281–289Cite as

Local Search Based on a Local Utopia Point for the Multiobjective Travelling Salesman Problem

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Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 9375))

Abstract

Performing a local search around solutions found by an evolutionary algorithm is a common practice. Local search is well known to significantly improve the solutions, in particular in the case of combinatorial problems. In this paper a new local search procedure is proposed that uses a locally established utopia point. In the tests in which several instances of the Travelling Salesman Problem (TSP) were solved using an evolutionary algorithm the proposed local search procedure outperformed a local search procedure based on Pareto dominance. Because the local search is focused on improving individual solutions and the multiobjective evolutionary algorithm can improve diversity, various strategies of sharing computational resources between the evolutionary algorithm and the local search are used in this paper. The results attained by the tested methods are compared with respect to computation time, which allows a fair comparison between strategies that distribute computational resources between the evolutionary optimization and the local search in various proportions.

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Authors and Affiliations

  1. Department of Information Technologies, Institute of Business Informatics, Wroclaw University of Economics, Wroclaw, Poland

    Krzysztof Michalak

Authors
  1. Krzysztof Michalak
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Correspondence to Krzysztof Michalak .

Editor information

Editors and Affiliations

  1. Wroclaw University of Technology, Wroclaw, Poland

    Konrad Jackowski

  2. Department of Systems, Wroclaw University of Technology, Wroclaw, Poland

    Robert Burduk

  3. Wroclaw Univ of Tech, Wroclaw, Poland

    Krzysztof Walkowiak

  4. Wroclaw University of Technology, Faculty of Electronics, Wroclaw, Poland

    Michal Wozniak

  5. School of Electrical & Electronic E, University of Manchester, Manchester, United Kingdom

    Hujun Yin

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© 2015 Springer International Publishing Switzerland

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Michalak, K. (2015). Local Search Based on a Local Utopia Point for the Multiobjective Travelling Salesman Problem. In: Jackowski, K., Burduk, R., Walkowiak, K., Wozniak, M., Yin, H. (eds) Intelligent Data Engineering and Automated Learning – IDEAL 2015. IDEAL 2015. Lecture Notes in Computer Science(), vol 9375. Springer, Cham. https://doi.org/10.1007/978-3-319-24834-9_34

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  • DOI: https://doi.org/10.1007/978-3-319-24834-9_34

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-24833-2

  • Online ISBN: 978-3-319-24834-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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