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Efficient incrementing heuristics for generalized p-location problems

Author

Listed:
  • Jaroslav Janáček

    (University of Žilina)

  • Marek Kvet

    (University of Žilina)

Abstract

This paper studies effective solving techniques for large p-location problems, in which generalized disutility is applied to incorporate stochastic behavior of real service system. The concept of generalized disutility follows the idea that the nearest located service center may be temporarily unavailable at the moment of currently arisen demand and the demand is serviced from a more distant service center with given probability. The more complex approach to the real p-location asks for enormous computational time of exact solving tools and thus evokes the question whether the faster heuristics can compete with the exact approaches in accuracy of results obtained. To answer the question, two heuristics were proposed for the studied problem. The first of them is a common swap local search with the best-admissible strategy and the second is based on the path-relinking method. The both heuristics make use of so called uniformly deployed sets used for preliminary mapping of the feasible solutions to accelerate the performance of the heuristics. As uniformly deployed set construction can be done in two modes, the paper is also focused on finding the most effective combination of the mode and heuristic. A real case study was performed with seven road networks with number of nodes varying from 250 to 660. In addition, ten different families of uniformly deployed sets were generated for each network and mode. The results of the case study confirm that the suggested approaches are able to produce the solutions of the same quality as the exact approaches. Furthermore, the study indicates drawbacks, which can be met in connection with usage of specific combinations of heuristic and the mode of uniformly deployed set construction.

Suggested Citation

  • Jaroslav Janáček & Marek Kvet, 2021. "Efficient incrementing heuristics for generalized p-location problems," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(3), pages 989-1000, September.
  • Handle: RePEc:spr:cejnor:v:29:y:2021:i:3:d:10.1007_s10100-020-00722-5
    DOI: 10.1007/s10100-020-00722-5
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    References listed on IDEAS

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    1. Brotcorne, Luce & Laporte, Gilbert & Semet, Frederic, 2003. "Ambulance location and relocation models," European Journal of Operational Research, Elsevier, vol. 147(3), pages 451-463, June.
    2. Dimitris Bertsimas & Vivek F. Farias & Nikolaos Trichakis, 2011. "The Price of Fairness," Operations Research, INFORMS, vol. 59(1), pages 17-31, February.
    3. Armann Ingolfsson & Susan Budge & Erhan Erkut, 2008. "Optimal ambulance location with random delays and travel times," Health Care Management Science, Springer, vol. 11(3), pages 262-274, September.
    4. Sunarin Chanta & Maria Mayorga & Laura McLay, 2014. "Improving emergency service in rural areas: a bi-objective covering location model for EMS systems," Annals of Operations Research, Springer, vol. 221(1), pages 133-159, October.
    5. Karatas, Mumtaz & Yakıcı, Ertan, 2019. "An analysis of p-median location problem: Effects of backup service level and demand assignment policy," European Journal of Operational Research, Elsevier, vol. 272(1), pages 207-218.
    6. Lawrence V. Snyder & Mark S. Daskin, 2005. "Reliability Models for Facility Location: The Expected Failure Cost Case," Transportation Science, INFORMS, vol. 39(3), pages 400-416, August.
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    Cited by:

    1. Andrej Kastrin & Janez Povh & Lidija Zadnik Stirn & Janez Žerovnik, 2021. "Methodologies and applications for resilient global development from the aspect of SDI-SOR special issues of CJOR," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(3), pages 773-790, September.

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