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The capacitated modular single-allocation hub location problem with possibilities of hubs disruptions: modeling and a solution algorithm

Author

Listed:
  • Farid Momayezi

    (Tarbiat Moddares University)

  • S. Kamal Chaharsooghi

    (Tarbiat Moddares University)

  • Mohammad Mehdi Sepehri

    (Tarbiat Moddares University)

  • Ali Husseinzadeh Kashan

    (Tarbiat Moddares University)

Abstract

The hub location problem (HLP) concerns the location of hub nodes and allocation of other non-hub nodes to hubs in the network. Hubs are particular facilities that serve as mediators through the aggregation, consolidation, classification and distribution of network flows from origin to destination. Most models use constant penalty parameters to calculate the aggregation and distribution cost in the objective function. The selected parameter values can significantly affect the number of hubs and their locations in the network. Furthermore, most studies on HLP assume that network hubs are always operational but every established hub has the potential to fail during use. In this paper, we propose the capacitated modular single allocation hub location problem with possibilities of hub disruptions, whereby a low number of capacitated transportation vehicles is used instead of constant parameters. The problem is modeled as a two-stage stochastic program, and a metaheuristic algorithm based on the adaptive large neighbourhood search is proposed. The computational experiment results demonstrate the high efficiency of the proposed solution method.

Suggested Citation

  • Farid Momayezi & S. Kamal Chaharsooghi & Mohammad Mehdi Sepehri & Ali Husseinzadeh Kashan, 2021. "The capacitated modular single-allocation hub location problem with possibilities of hubs disruptions: modeling and a solution algorithm," Operational Research, Springer, vol. 21(1), pages 139-166, March.
  • Handle: RePEc:spr:operea:v:21:y:2021:i:1:d:10.1007_s12351-018-0438-6
    DOI: 10.1007/s12351-018-0438-6
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    1. Grangier, Philippe & Gendreau, Michel & Lehuédé, Fabien & Rousseau, Louis-Martin, 2016. "An adaptive large neighborhood search for the two-echelon multiple-trip vehicle routing problem with satellite synchronization," European Journal of Operational Research, Elsevier, vol. 254(1), pages 80-91.
    2. Zetina, Carlos Armando & Contreras, Ivan & Cordeau, Jean-François & Nikbakhsh, Ehsan, 2017. "Robust uncapacitated hub location," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 393-410.
    3. Shahabi, Mehrdad & Unnikrishnan, Avinash, 2014. "Robust hub network design problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 356-373.
    4. Correia, Isabel & Nickel, Stefan & Saldanha-da-Gama, Francisco, 2010. "The capacitated single-allocation hub location problem revisited: A note on a classical formulation," European Journal of Operational Research, Elsevier, vol. 207(1), pages 92-96, November.
    5. F. Parvaresh & S. Hashemi Golpayegany & S. Moattar Husseini & B. Karimi, 2013. "Solving the p-hub Median Problem Under Intentional Disruptions Using Simulated Annealing," Networks and Spatial Economics, Springer, vol. 13(4), pages 445-470, December.
    6. Edward Hult & Houyuan Jiang & Daniel Ralph, 2014. "Exact computational approaches to a stochastic uncapacitated single allocation p-hub center problem," Computational Optimization and Applications, Springer, vol. 59(1), pages 185-200, October.
    7. Gilbert Laporte & Roberto Musmanno & Francesca Vocaturo, 2010. "An Adaptive Large Neighbourhood Search Heuristic for the Capacitated Arc-Routing Problem with Stochastic Demands," Transportation Science, INFORMS, vol. 44(1), pages 125-135, February.
    8. Meraklı, Merve & Yaman, Hande, 2016. "Robust intermodal hub location under polyhedral demand uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 86(C), pages 66-85.
    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. A.T. Ernst & M. Krishnamoorthy, 1999. "Solution algorithms for the capacitated single allocation hub location problem," Annals of Operations Research, Springer, vol. 86(0), pages 141-159, January.
    11. Alumur, Sibel A. & Nickel, Stefan & Saldanha-da-Gama, Francisco, 2012. "Hub location under uncertainty," Transportation Research Part B: Methodological, Elsevier, vol. 46(4), pages 529-543.
    12. 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.
    13. Stefan Ropke & David Pisinger, 2006. "An Adaptive Large Neighborhood Search Heuristic for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 40(4), pages 455-472, November.
    14. Adibi, Ali & Razmi, Jafar, 2015. "2-Stage stochastic programming approach for hub location problem under uncertainty: A case study of air network of Iran," Journal of Air Transport Management, Elsevier, vol. 47(C), pages 172-178.
    15. 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.
    16. Yaman, Hande, 2011. "Allocation strategies in hub networks," European Journal of Operational Research, Elsevier, vol. 211(3), pages 442-451, June.
    17. Michael K. Lim & Achal Bassamboo & Sunil Chopra & Mark S. Daskin, 2013. "Facility Location Decisions with Random Disruptions and Imperfect Estimation," Manufacturing & Service Operations Management, INFORMS, vol. 15(2), pages 239-249, May.
    18. Contreras, Ivan & Cordeau, Jean-François & Laporte, Gilbert, 2011. "Stochastic uncapacitated hub location," European Journal of Operational Research, Elsevier, vol. 212(3), pages 518-528, August.
    19. 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.
    20. A. J. Goldman, 1969. "Optimal Locations for Centers in a Network," Transportation Science, INFORMS, vol. 3(4), pages 352-360, November.
    21. Zuo-Jun Max Shen & Roger Lezhou Zhan & Jiawei Zhang, 2011. "The Reliable Facility Location Problem: Formulations, Heuristics, and Approximation Algorithms," INFORMS Journal on Computing, INFORMS, vol. 23(3), pages 470-482, August.
    22. Skorin-Kapov, Darko & Skorin-Kapov, Jadranka & O'Kelly, Morton, 1996. "Tight linear programming relaxations of uncapacitated p-hub median problems," European Journal of Operational Research, Elsevier, vol. 94(3), pages 582-593, November.
    23. Lawrence V. Snyder & Mark S. Daskin, 2007. "Models for Reliable Supply Chain Network Design," Advances in Spatial Science, in: Alan T. Murray & Tony H. Grubesic (ed.), Critical Infrastructure, chapter 13, pages 257-289, Springer.
    24. S. L. Hakimi & S. N. Maheshwari, 1972. "Optimum Locations of Centers in Networks," Operations Research, INFORMS, vol. 20(5), pages 967-973, October.
    25. Lusby, Richard Martin & Schwierz, Martin & Range, Troels Martin & Larsen, Jesper, 2016. "An Adaptive Large Neighbourhood Search Procedure Applied to the Dynamic Patient Admission Scheduling Problem," Discussion Papers on Economics 1/2016, University of Southern Denmark, Department of Economics.
    26. Lawrence V. Snyder & Zümbül Atan & Peng Peng & Ying Rong & Amanda J. Schmitt & Burcu Sinsoysal, 2016. "OR/MS models for supply chain disruptions: a review," IISE Transactions, Taylor & Francis Journals, vol. 48(2), pages 89-109, February.
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