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Scatter search for the bi-criteria p-median p-dispersion problem

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Abstract

The bi-criteria p-median p-dispersion is a challenging optimization problem that belongs to the family of location problems. To our knowledge, no metaheuristic has been proposed to this problem, where a multi-objective approach has to be considered. In this paper, we propose a multi-objective Scatter Search implementation in which three different improvement methods have been analyzed. Our results have been compared with the state of the art obtaining better hypervolume values and promising results in terms of dominance of solutions.

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Acknowledgements

This research has been partially supported by the Ministerio de Economa y Competitividad of Spain (Grant Refs. TIN2015-65460-C2 and TIN2014-54806-R). The authors want to thank Emilio Alarcón for his seminal work on this problem, which triggered their interest.

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Authors and Affiliations

  1. Universidad Rey Juan Carlos, 28933, Móstoles, Madrid, Spain

    J. Manuel Colmenar & Abraham Duarte

  2. Molde University College, 2110, 6402, Molde, Norway

    Arild Hoff

  3. Universidad de Valencia, 46100, Burjassot, Valencia, Spain

    Rafael Martí

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  1. J. Manuel Colmenar
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  2. Arild Hoff
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  3. Rafael Martí
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  4. Abraham Duarte
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Correspondence to Abraham Duarte.

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Colmenar, J.M., Hoff, A., Martí, R. et al. Scatter search for the bi-criteria p-median p-dispersion problem. Prog Artif Intell 7, 31–40 (2018). https://doi.org/10.1007/s13748-017-0132-6

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  • DOI: https://doi.org/10.1007/s13748-017-0132-6

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