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Multi-type maximal covering location problems: Hybridizing discrete and continuous problems

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  • Blanco, Víctor
  • Gázquez, Ricardo
  • Saldanha-da-Gama, Francisco

Abstract

This paper introduces a general modeling framework for a multi-type maximal covering location problem in which the position of facilities in different normed spaces are simultaneously decided to maximize the demand generated by a set of points. From the need of intertwining location decisions in discrete and in continuous sets, a general hybridized problem is considered in which some types of facilities are to be located in finite sets and the others in continuous normed spaces. A natural non-linear model is proposed for which an integer linear programming reformulation is derived. A branch-and-cut algorithm is developed for better tackling the problem. The study proceeds considering the particular case in which the continuous facilities are to be located in the Euclidean plane. In this case, by taking advantage from some geometrical properties it is possible to propose an alternative integer linear programming model. The results of an extensive battery of computational experiments performed to assess the methodological contribution of this work is reported. Apart from a synthetic dataset, the different approaches are tested on a real geographical and demographic data with up to 920 demand nodes.

Suggested Citation

  • Blanco, Víctor & Gázquez, Ricardo & Saldanha-da-Gama, Francisco, 2023. "Multi-type maximal covering location problems: Hybridizing discrete and continuous problems," European Journal of Operational Research, Elsevier, vol. 307(3), pages 1040-1054.
    • Handle: RePEc:eee:ejores:v:307:y:2023:i:3:p:1040-1054
    DOI: 10.1016/j.ejor.2022.10.037
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    1. Berman, Oded & Drezner, Zvi & Krass, Dmitry & Wesolowsky, George O., 2009. "The variable radius covering problem," European Journal of Operational Research, Elsevier, vol. 196(2), pages 516-525, July.
    2. Ratick, Samuel J. & Osleeb, Jeffrey P. & Hozumi, Dai, 2009. "Application and extension of the Moore and ReVelle Hierarchical Maximal Covering Model," Socio-Economic Planning Sciences, Elsevier, vol. 43(2), pages 92-101, June.
    3. Richard L. Church & Alan Murray, 2018. "Location Covering Models," Advances in Spatial Science, Springer, number 978-3-319-99846-6, February.
    4. He, Zhou & Fan, Bo & Cheng, T.C.E. & Wang, Shou-Yang & Tan, Chin-Hon, 2016. "A mean-shift algorithm for large-scale planar maximal covering location problems," European Journal of Operational Research, Elsevier, vol. 250(1), pages 65-76.
    5. Constantine Toregas & Ralph Swain & Charles ReVelle & Lawrence Bergman, 1971. "The Location of Emergency Service Facilities," Operations Research, INFORMS, vol. 19(6), pages 1363-1373, October.
    6. Jack Elzinga & Donald W. Hearn, 1972. "Geometrical Solutions for Some Minimax Location Problems," Transportation Science, INFORMS, vol. 6(4), pages 379-394, November.
    7. George C. Moore & Charles ReVelle, 1982. "The Hierarchical Service Location Problem," Management Science, INFORMS, vol. 28(7), pages 775-780, July.
    8. Blanco, Víctor & Puerto, Justo, 2021. "Covering problems with polyellipsoids: A location analysis perspective," European Journal of Operational Research, Elsevier, vol. 289(1), pages 44-58.
    9. Richard Church & Charles R. Velle, 1974. "The Maximal Covering Location Problem," Papers in Regional Science, Wiley Blackwell, vol. 32(1), pages 101-118, January.
    10. Karabulut, Ezgi & Aras, Necati & Kuban Altınel, İ., 2017. "Optimal sensor deployment to increase the security of the maximal breach path in border surveillance," European Journal of Operational Research, Elsevier, vol. 259(1), pages 19-36.
    11. Victor Blanco & Justo Puerto & Safae El Haj Ben Ali, 2014. "Revisiting several problems and algorithms in continuous location with $$\ell _\tau $$ ℓ τ norms," Computational Optimization and Applications, Springer, vol. 58(3), pages 563-595, July.
    12. Arana-Jiménez, Manuel & Blanco, Víctor & Fernández, Elena, 2020. "On the fuzzy maximal covering location problem," European Journal of Operational Research, Elsevier, vol. 283(2), pages 692-705.
    13. O Berman & Z Drezner & D Krass, 2011. "Discrete cooperative covering problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(11), pages 2002-2012, November.
    14. Drezner, Zvi & Kalczynski, Pawel & Salhi, Said, 2019. "The planar multiple obnoxious facilities location problem: A Voronoi based heuristic," Omega, Elsevier, vol. 87(C), pages 105-116.
    15. S. L. Hakimi, 1965. "Optimum Distribution of Switching Centers in a Communication Network and Some Related Graph Theoretic Problems," Operations Research, INFORMS, vol. 13(3), pages 462-475, June.
    16. O Berman & Z Drezner & D Krass, 2011. "Discrete cooperative covering problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(11), pages 2002-2012, November.
    17. Tedeschi, Danilo & Andretta, Marina, 2021. "New exact algorithms for planar maximum covering location by ellipses problems," European Journal of Operational Research, Elsevier, vol. 291(1), pages 114-127.
    18. Cordeau, Jean-François & Furini, Fabio & Ljubić, Ivana, 2019. "Benders decomposition for very large scale partial set covering and maximal covering location problems," European Journal of Operational Research, Elsevier, vol. 275(3), pages 882-896.
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    2. Dukkanci, Okan & Campbell, James F. & Kara, Bahar Y., 2024. "Facility location decisions for drone delivery: A literature review," European Journal of Operational Research, Elsevier, vol. 316(2), pages 397-418.

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