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SOLVING THE UNCAPACITATED MULTIPLE ALLOCATIONp-HUB CENTER PROBLEM BY GENETIC ALGORITHM

Author

Listed:
  • JOZEF KRATICA

    (Mathematical Institute, Serbian Academy of Sciences and Arts, Kneza Mihajla 35/I, pp. 367, 11 001 Belgrade, Serbia)

  • ZORICA STANIMIROVIĆ

    (Faculty of Mathematics, University of Belgrade, Studentski trg 16/IV 11 000 Belgrade, Serbia)

Abstract

In this paper we describe a genetic algorithm (GA) for the uncapacitated multiple allocation p-hub center problem (UMApHCP). Binary coding is used and genetic operators adapted to the problem are constructed and implemented in our GA. Computational results are presented for the standard hub instances from the literature. It can be seen that proposed GA approach reaches all solutions that are proved to be optimal so far. The solutions are obtained in a reasonable amount of computational time, even for problem instances of higher dimensions.

Suggested Citation

  • Jozef Kratica & Zorica Stanimirović, 2006. "SOLVING THE UNCAPACITATED MULTIPLE ALLOCATIONp-HUB CENTER PROBLEM BY GENETIC ALGORITHM," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 23(04), pages 425-437.
    • Handle: RePEc:wsi:apjorx:v:23:y:2006:i:04:n:s0217595906001042
    DOI: 10.1142/S0217595906001042
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    Citations

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    Cited by:

    1. Zühal Kartal & Mohan Krishnamoorthy & Andreas T. Ernst, 2019. "Heuristic algorithms for the single allocation p-hub center problem with routing considerations," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(1), pages 99-145, March.
    2. Miguel A. Pozo & Justo Puerto & Antonio M. Rodríguez Chía, 2021. "The ordered median tree of hubs location problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 78-105, April.
    3. Jozef Kratica & Vera Kovačević-Vujčić & Mirjana Čangalović, 2009. "Computing the metric dimension of graphs by genetic algorithms," Computational Optimization and Applications, Springer, vol. 44(2), pages 343-361, November.
    4. Wang, Min & Cheng, Qing & Huang, Jincai & Cheng, Guangquan, 2021. "Research on optimal hub location of agricultural product transportation network based on hierarchical hub-and-spoke network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).

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