Progress in Artificial Intelligence

, Volume 7, Issue 1, pp 31–40 | Cite as

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

  • J. Manuel Colmenar
  • Arild Hoff
  • Rafael Martí
  • Abraham DuarteEmail author
Regular Paper


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.


Facility problems p-Median p-Dispersion Scatter Search 



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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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Universidad Rey Juan CarlosMóstolesSpain
  2. 2.Molde University CollegeMoldeNorway
  3. 3.Universidad de ValenciaBurjassot, ValenciaSpain

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