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Exact solution method for stochastic single-allocation hub location problems

Author

Listed:
  • Espejo, Inmaculada
  • Marín, Alfredo
  • Muñoz-Ocaña, Juan M.
  • Páez, Raúl
  • Rodríguez-Chía, Antonio M.

Abstract

This paper presents an efficient exact solution procedure for a general stochastic hub location problem with single allocation, incorporating uncertainties in origin–destination flows, transportation costs, and hub capacities. A scenario-based model is used to minimize the expected overall costs, requiring two decisions: (i) the location of hubs, which remains fixed across all scenarios; and (ii) the allocation of each origin/destination to one of these hubs in each scenario.

Suggested Citation

  • Espejo, Inmaculada & Marín, Alfredo & Muñoz-Ocaña, Juan M. & Páez, Raúl & Rodríguez-Chía, Antonio M., 2025. "Exact solution method for stochastic single-allocation hub location problems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 202(C).
  • Handle: RePEc:eee:transe:v:202:y:2025:i:c:s1366554525003369
    DOI: 10.1016/j.tre.2025.104295
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    References listed on IDEAS

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    1. 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.
    2. Gita Taherkhani & Sibel A. Alumur, 2023. "Hub Location Models Under Uncertainty," International Series in Operations Research & Management Science, in: H. A. Eiselt & Vladimir Marianov (ed.), Uncertainty in Facility Location Problems, pages 337-354, Springer.
    3. Juanjo Peiró & Ángel Corberán & Rafael Martí & Francisco Saldanha-da-Gama, 2019. "Heuristic Solutions for a Class of Stochastic Uncapacitated p-Hub Median Problems," Transportation Science, INFORMS, vol. 53(4), pages 1126-1149, July.
    4. 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.
    5. Ivan Contreras & Morton O’Kelly, 2019. "Hub Location Problems," Springer Books, in: Gilbert Laporte & Stefan Nickel & Francisco Saldanha da Gama (ed.), Location Science, edition 2, chapter 0, pages 327-363, Springer.
    6. 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.
    7. Alumur, Sibel A. & Campbell, James F. & Contreras, Ivan & Kara, Bahar Y. & Marianov, Vladimir & O’Kelly, Morton E., 2021. "Perspectives on modeling hub location problems," European Journal of Operational Research, Elsevier, vol. 291(1), pages 1-17.
    8. 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.
    9. 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.
    10. 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.
    11. Mohammadi, Mehrdad & Jula, Payman & Tavakkoli-Moghaddam, Reza, 2019. "Reliable single-allocation hub location problem with disruptions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 123(C), pages 90-120.
    12. Trung Hieu Tran & Jesse R. O’Hanley & M. Paola Scaparra, 2017. "Reliable Hub Network Design: Formulation and Solution Techniques," Transportation Science, INFORMS, vol. 51(1), pages 358-375, February.
    13. Marcelo P. L. Benedito & Lehilton L. C. Pedrosa, 2019. "Approximation algorithms for Median Hub Location Problems," Journal of Combinatorial Optimization, Springer, vol. 38(2), pages 375-401, August.
    14. 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.
    15. Jalili Marand, Ata & Hoseinpour, Pooya, 2025. "Profit maximization in congested hub location problems: Demand models and service level constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 195(C).
    16. Nader Ghaffarinasab & Bahar Y. Kara, 2019. "Benders Decomposition Algorithms for Two Variants of the Single Allocation Hub Location Problem," Networks and Spatial Economics, Springer, vol. 19(1), pages 83-108, March.
    17. Correia, Isabel & Nickel, Stefan & Saldanha-da-Gama, Francisco, 2018. "A stochastic multi-period capacitated multiple allocation hub location problem: Formulation and inequalities," Omega, Elsevier, vol. 74(C), pages 122-134.
    18. S Haddadi & O Slimani, 2012. "The transportation problem revisited—preprocessing before using the primal–dual algorithm," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(7), pages 1006-1009, July.
    19. 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.
    20. Zhang, Haifeng & Yang, Kai & Gao, Yuan & Yang, Lixing, 2022. "Accelerating Benders decomposition for stochastic incomplete multimodal hub location problem in many-to-many transportation and distribution systems," International Journal of Production Economics, Elsevier, vol. 248(C).
    21. Ghaffarinasab, Nader & Çavuş, Özlem & Kara, Bahar Y., 2023. "A mean-CVaR approach to the risk-averse single allocation hub location problem with flow-dependent economies of scale," Transportation Research Part B: Methodological, Elsevier, vol. 167(C), pages 32-53.
    22. 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.
    23. Rostami, Borzou & Kämmerling, Nicolas & Naoum-Sawaya, Joe & Buchheim, Christoph & Clausen, Uwe, 2021. "Stochastic single-allocation hub location," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1087-1106.
    24. Guillot, Matthieu & Rey, David & Furno, Angelo & El Faouzi, Nour-Eddin, 2024. "A stochastic hub location and fleet assignment problem for the design of reconfigurable park-and-ride systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 184(C).
    25. Víctor Blanco & Elena Fernández & Yolanda Hinojosa, 2023. "Hub Location with Protection Under Interhub Link Failures," INFORMS Journal on Computing, INFORMS, vol. 35(5), pages 966-985, September.
    26. Borzou Rostami & Fausto Errico & Andrea Lodi, 2023. "A Convex Reformulation and an Outer Approximation for a Large Class of Binary Quadratic Programs," Operations Research, INFORMS, vol. 71(2), pages 471-486, March.
    27. Setiawan, Fran & Bektaş, Tolga & Iris, Çağatay, 2025. "The hub location problem with comparisons of compact formulations: A note," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 194(C).
    28. Azizi, Nader & Salhi, Said, 2022. "Reliable hub-and-spoke systems with multiple capacity levels and flow dependent discount factor," European Journal of Operational Research, Elsevier, vol. 298(3), pages 834-854.
    29. 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.
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