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Solution approaches to hub location problems

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  • Sue Abdinnour-Helm
  • M.A. Venkataramanan

Abstract

The hub location problem involves a network of origins and destinations over which transport takes place. Any distribution system falls into this type of category. In this paper, we present a new quadratic integer formulation for the Uncapacitated Hub Location Problem (UHP), which is based on the idea of multi-commodity flows in networks. This new formulation lends itself well for using a branch-and-bound procedure to find optimal solutions. The branch-and-bound procedure is not implemented in a traditional fashion, where bounds are obtained by linearizing the objective function and relaxing the integrality constraints. Instead, a more sophisticated approach is used where bounds are obtained by employing the underlying network structure of the problem. In addition, an artificial intelligence-based technique (Genetic Search) is designed to find solutions quickly and efficiently. The two solution approaches assume that the number of hubs is a variable, each spoke is assigned to a single hub, and all hubs are interconnected. The model and the algorithm can be applied even when all the hubs are not directly linked. Copyright Kluwer Academic Publishers 1998

Suggested Citation

  • Sue Abdinnour-Helm & M.A. Venkataramanan, 1998. "Solution approaches to hub location problems," Annals of Operations Research, Springer, vol. 78(0), pages 31-50, January.
    • Handle: RePEc:spr:annopr:v:78:y:1998:i:0:p:31-50:10.1023/a:1018954217758
    DOI: 10.1023/A:1018954217758
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    Cited by:

    1. 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.
    2. Noor-E-Alam, Md. & Mah, Andrew & Doucette, John, 2012. "Integer linear programming models for grid-based light post location problem," European Journal of Operational Research, Elsevier, vol. 222(1), pages 17-30.
    3. 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).
    4. Jayaswal, Sachin & Vidyarthi, Navneet, 2013. "Capacitated Multiple Allocation Hub Location with Service Level Constraints for Multiple Consignment Classes," IIMA Working Papers WP2013-11-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
    5. Yaman, Hande, 2011. "Allocation strategies in hub networks," European Journal of Operational Research, Elsevier, vol. 211(3), pages 442-451, June.
    6. Rieck, Julia, 2011. "Ein Framework fu?r die Gestaltung grosser, internationaler Transportnetze: Beru?cksichtigung von Netzwerkdesign und Tourenbildung," Die Unternehmung - Swiss Journal of Business Research and Practice, Nomos Verlagsgesellschaft mbH & Co. KG, vol. 65(2), pages 133-150.
    7. Aros-Vera, Felipe & Marianov, Vladimir & Mitchell, John E., 2013. "p-Hub approach for the optimal park-and-ride facility location problem," European Journal of Operational Research, Elsevier, vol. 226(2), pages 277-285.
    8. Ishfaq, Rafay & Sox, Charles R., 2011. "Hub location-allocation in intermodal logistic networks," European Journal of Operational Research, Elsevier, vol. 210(2), pages 213-230, April.
    9. Kratica, Jozef & Stanimirovic, Zorica & Tosic, Dusan & Filipovic, Vladimir, 2007. "Two genetic algorithms for solving the uncapacitated single allocation p-hub median problem," European Journal of Operational Research, Elsevier, vol. 182(1), pages 15-28, October.
    10. Cunha, Claudio B. & Silva, Marcos Roberto, 2007. "A genetic algorithm for the problem of configuring a hub-and-spoke network for a LTL trucking company in Brazil," European Journal of Operational Research, Elsevier, vol. 179(3), pages 747-758, June.
    11. Jayaswal, Sachin & Vidyarthi, Navneet, 2023. "Multiple allocation hub location with service level constraints for two shipment classes," European Journal of Operational Research, Elsevier, vol. 309(2), pages 634-655.
    12. 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.
    13. J. F. Campbell & A. T. Ernst & M. Krishnamoorthy, 2005. "Hub Arc Location Problems: Part I---Introduction and Results," Management Science, INFORMS, vol. 51(10), pages 1540-1555, October.
    14. Julia Sender & Thomas Siwczyk & Petra Mutzel & Uwe Clausen, 2017. "Matheuristics for optimizing the network in German wagonload traffic," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 5(3), pages 367-392, September.
    15. Nader Azizi & Navneet Vidyarthi & Satyaveer S. Chauhan, 2018. "Modelling and analysis of hub-and-spoke networks under stochastic demand and congestion," Annals of Operations Research, Springer, vol. 264(1), pages 1-40, May.
    16. 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.
    17. Jing Zhao & Jie Yu & Xiaomei Xia & Jingru Ye & Yun Yuan, 2019. "Exclusive Bus Lane Network Design: A Perspective from Intersection Operational Dynamics," Networks and Spatial Economics, Springer, vol. 19(4), pages 1143-1171, December.
    18. Neamatian Monemi, Rahimeh & Gelareh, Shahin & Nagih, Anass & Maculan, Nelson & Danach, Kassem, 2021. "Multi-period hub location problem with serial demands: A case study of humanitarian aids distribution in Lebanon," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 149(C).
    19. Chen, Jeng-Fung, 2007. "A hybrid heuristic for the uncapacitated single allocation hub location problem," Omega, Elsevier, vol. 35(2), pages 211-220, April.
    20. Yuan, Yun & Yu, Jie, 2018. "Locating transit hubs in a multi-modal transportation network: A cluster-based optimization approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 85-103.

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