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A tabu search heuristic for the uncapacitated single allocation p-hub maximal covering problem

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  • Silva, Marcos Roberto
  • Cunha, Claudio B.

Abstract

This paper describes a tabu search (TS) heuristic for the uncapacitated single allocation p-hub maximal covering problem. The objective is to determine the best location for p hubs and the assignment of each of the spokes to a single hub such that the total demand between pairs of nodes within a given coverage distance is maximized. We consider all nodes as possible candidates for establishing hub facilities, what increases the complexity of the problem. Based on the mathematical programming formulation proposed by Peker and Kara (2015) we also report, for the first time, the optimal solutions for instances with up to 50 nodes from the AP (Australian Post) benchmark dataset, as well as the complete set of results for the CAB (Civil Aeronautics Board) dataset, including some heretofore yet unpublished results. The computational experiments have also demonstrated that our TS heuristic is efficient, leading to improved solutions in shorter CPU times when compared to previously published results, as well as for new derived instances with tigher coverage. It was also able to solve, for the first time, all instances of the AP data set, with up to 200 nodes, as well as new instances with tighter coverage parameters, thus evidencing it capacity to solve effectively large, realistic-sized instances of the problem.

Suggested Citation

  • Silva, Marcos Roberto & Cunha, Claudio B., 2017. "A tabu search heuristic for the uncapacitated single allocation p-hub maximal covering problem," European Journal of Operational Research, Elsevier, vol. 262(3), pages 954-965.
    • Handle: RePEc:eee:ejores:v:262:y:2017:i:3:p:954-965
    DOI: 10.1016/j.ejor.2017.03.066
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    References listed on IDEAS

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    1. Fred Glover, 1989. "Tabu Search---Part I," INFORMS Journal on Computing, INFORMS, vol. 1(3), pages 190-206, August.
    2. Skorin-Kapov, Darko & Skorin-Kapov, Jadranka, 1994. "On tabu search for the location of interacting hub facilities," European Journal of Operational Research, Elsevier, vol. 73(3), pages 502-509, March.
    3. James F. Campbell & Morton E. O'Kelly, 2012. "Twenty-Five Years of Hub Location Research," Transportation Science, INFORMS, vol. 46(2), pages 153-169, May.
    4. B Y Kara & B C Tansel, 2003. "The single-assignment hub covering problem: Models and linearizations," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(1), pages 59-64, January.
    5. Abdinnour-Helm, Sue, 1998. "A hybrid heuristic for the uncapacitated hub location problem," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 489-499, April.
    6. S Alumur & B Y Kara, 2009. "A hub covering network design problem for cargo applications in Turkey," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(10), pages 1349-1359, October.
    7. Alumur, Sibel & Kara, Bahar Y., 2008. "Network hub location problems: The state of the art," European Journal of Operational Research, Elsevier, vol. 190(1), pages 1-21, October.
    8. Martins de Sá, Elisangela & Contreras, Ivan & Cordeau, Jean-François, 2015. "Exact and heuristic algorithms for the design of hub networks with multiple lines," European Journal of Operational Research, Elsevier, vol. 246(1), pages 186-198.
    9. Campbell, James F., 1994. "Integer programming formulations of discrete hub location problems," European Journal of Operational Research, Elsevier, vol. 72(2), pages 387-405, January.
    10. Fred Glover, 1990. "Tabu Search—Part II," INFORMS Journal on Computing, INFORMS, vol. 2(1), pages 4-32, February.
    11. Peker, Meltem & Kara, Bahar Y., 2015. "The P-Hub maximal covering problem and extensions for gradual decay functions," Omega, Elsevier, vol. 54(C), pages 158-172.
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    Cited by:

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    2. Madani, Seyed Reza & Shahandeh Nookabadi, Ali & Hejazi, Seyed Reza, 2018. "A bi-objective, reliable single allocation p-hub maximal covering location problem: Mathematical formulation and solution approach," Journal of Air Transport Management, Elsevier, vol. 68(C), pages 118-136.
    3. Ghaffarinasab, Nader & Motallebzadeh, Alireza, 2018. "Hub interdiction problem variants: Models and metaheuristic solution algorithms," European Journal of Operational Research, Elsevier, vol. 267(2), pages 496-512.
    4. Domínguez-Bravo, Carmen-Ana & Fernández, Elena & Lüer-Villagra, Armin, 2024. "Hub location with congestion and time-sensitive demand," European Journal of Operational Research, Elsevier, vol. 316(3), pages 828-844.
    5. Kahalimoghadam, Masoud & Thompson, Russell G. & Rajabifard, Abbas, 2024. "Determining the number and location of micro-consolidation centres as a solution to growing e-commerce demand," Journal of Transport Geography, Elsevier, vol. 117(C).
    6. Ghaffarinasab, Nader & Kara, Bahar Y. & Campbell, James F., 2022. "The stratified p-hub center and p-hub maximal covering problems," Transportation Research Part B: Methodological, Elsevier, vol. 157(C), pages 120-148.
    7. Khalid Mekamcha & Mehdi Souier & Hakim Nadhir Bessenouci & Mohammed Bennekrouf, 2021. "Two metaheuristics approaches for solving the traveling salesman problem: an Algerian waste collection case," Operational Research, Springer, vol. 21(3), pages 1641-1661, September.

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