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A hybrid heuristic for the uncapacitated single allocation hub location problem


  • Chen, Jeng-Fung


The uncapacitated single allocation hub location problem (USAHLP), with the hub-and-spoke network structure, is a decision problem in regard to the number of hubs and location-allocation. In a pure hub-and-spoke network, all hubs, which act as switching points for internodal flows, are interconnected and none of the non-hubs (i.e., spokes) are directly connected. The key factors for designing a successful hub-and-spoke network are to determine the optimal number of hubs, to properly locate hubs, and to allocate the non-hubs to the hubs. In this paper two approaches to determine the upper bound for the number of hubs along with a hybrid heuristic based on the simulated annealing method, tabu list, and improvement procedures are proposed to resolve the USAHLP. Computational experiences indicate that by applying the derived upper bound for the number of hubs the proposed heuristic is capable of obtaining optimal solutions for all small-scaled problems very efficiently. Computational results also demonstrate that the proposed hybrid heuristic outperforms a genetic algorithm and a simulated annealing method in solving USAHLP.

Suggested Citation

  • Chen, Jeng-Fung, 2007. "A hybrid heuristic for the uncapacitated single allocation hub location problem," Omega, Elsevier, vol. 35(2), pages 211-220, April.
  • Handle: RePEc:eee:jomega:v:35:y:2007:i:2:p:211-220

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    References listed on IDEAS

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    Cited by:

    1. Omar Ben-Ayed, 2012. "Redesigning the inter-facility network of a parcel distribution company in a developing country," International Journal of Services, Economics and Management, Inderscience Enterprises Ltd, vol. 4(1), pages 27-42.
    2. Peker, Meltem & Kara, Bahar Y., 2015. "The P-Hub maximal covering problem and extensions for gradual decay functions," Omega, Elsevier, pages 158-172.
    3. Yaman, Hande, 2011. "Allocation strategies in hub networks," European Journal of Operational Research, Elsevier, vol. 211(3), pages 442-451, June.
    4. repec:pal:jorsoc:v:60:y:2009:i:10:d:10.1057_jors.2008.92 is not listed on IDEAS
    5. Ambrosino, Daniela & Sciomachen, Anna, 2012. "Hub locations in urban multimodal networks," European Transport \ Trasporti Europei, ISTIEE, Institute for the Study of Transport within the European Economic Integration, issue 51, pages 1-6.
    6. Jacobson, Sheldon H. & McLay, Laura A., 2009. "Applying statistical tests to empirically compare tabu search parameters for MAX 3-SATISFIABILITY: A case study," Omega, Elsevier, vol. 37(3), pages 522-534, June.
    7. He, Yan & Wu, Tao & Zhang, Canrong & Liang, Zhe, 2015. "An improved MIP heuristic for the intermodal hub location problem," Omega, Elsevier, pages 203-211.
    8. Alumur, Sibel A. & Kara, Bahar Y. & Karasan, Oya E., 2012. "Multimodal hub location and hub network design," Omega, Elsevier, pages 927-939.
    9. 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.
    10. An, Yu & Zhang, Yu & Zeng, Bo, 2015. "The reliable hub-and-spoke design problem: Models and algorithms," Transportation Research Part B: Methodological, Elsevier, pages 103-122.
    11. Yang, Kai & Yang, Lixing & Gao, Ziyou, 2016. "Planning and optimization of intermodal hub-and-spoke network under mixed uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, pages 248-266.
    12. Roni, Md.S. & Eksioglu, Sandra D. & Searcy, Erin & Jha, Krishna, 2014. "A supply chain network design model for biomass co-firing in coal-fired power plants," Transportation Research Part E: Logistics and Transportation Review, Elsevier, pages 115-134.
    13. Muppani (Muppant), Venkata Reddy & Adil, Gajendra Kumar, 2008. "Efficient formation of storage classes for warehouse storage location assignment: A simulated annealing approach," Omega, Elsevier, vol. 36(4), pages 609-618, August.
    14. Boysen, Nils & Fliedner, Malte, 2010. "Cross dock scheduling: Classification, literature review and research agenda," Omega, Elsevier, vol. 38(6), pages 413-422, December.


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