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Multi-period hub network design problems with modular capacities

Author

Listed:
  • Sibel A. Alumur

    (University of Waterloo
    TOBB University of Economics and Technology)

  • Stefan Nickel

    (Karlsruhe Institute of Technology (KIT)
    Fraunhofer Institute for Industrial Mathematics (ITWM))

  • Francisco Saldanha-da-Gama

    (Universidade de Lisboa)

  • Yusuf Seçerdin

    (TOBB University of Economics and Technology
    University of Miami)

Abstract

In this paper, a modeling framework is proposed for multi-period hub location. The problems to be studied are extensions of classical hub location problems to the situation in which the hub network can be progressively built and its capacity gradually expanded over time. Both the single allocation and the multiple allocation cases are considered. For each case, a mixed-integer linear programming formulation is proposed and a set of valid inequalities is derived for enhancing the corresponding model. The results of a set of computational tests performed using the formulations proposed and their enhancements are reported. The value of the multi-period solution is discussed as a measure for evaluating the relevance of considering a multi-period model instead of a static counterpart.

Suggested Citation

  • Sibel A. Alumur & Stefan Nickel & Francisco Saldanha-da-Gama & Yusuf Seçerdin, 2016. "Multi-period hub network design problems with modular capacities," Annals of Operations Research, Springer, vol. 246(1), pages 289-312, November.
    • Handle: RePEc:spr:annopr:v:246:y:2016:i:1:d:10.1007_s10479-015-1805-9
    DOI: 10.1007/s10479-015-1805-9
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    References listed on IDEAS

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    3. Taherkhani, Gita & Alumur, Sibel A., 2019. "Profit maximizing hub location problems," Omega, Elsevier, vol. 86(C), pages 1-15.
    4. Huifang Li & Yin Wang, 2023. "Hierarchical Multimodal Hub Location Problem with Carbon Emissions," Sustainability, MDPI, vol. 15(3), pages 1-23, January.
    5. Hüseyin Güden, 2021. "New complexity results for the p-hub median problem," Annals of Operations Research, Springer, vol. 298(1), pages 229-247, March.
    6. Laureano F. Escudero & Juan F. Monge, 2021. "On Multistage Multiscale Stochastic Capacitated Multiple Allocation Hub Network Expansion Planning," Mathematics, MDPI, vol. 9(24), pages 1-39, December.
    7. 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.
    8. 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.
    9. 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.
    10. Basallo-Triana, Mario José & Bravo-Bastidas, Juan José & Contreras, Ivan & Cordeau, Jean-François & Vidal-Holguín, Carlos Julio, 2023. "Intermodal hub network design with generalized capacity constraints and non-synchronized train–truck operations," Transportation Research Part B: Methodological, Elsevier, vol. 174(C).
    11. Aloullal, Afaf & Saldanha-da-Gama, Francisco & Todosijević, Raca, 2023. "Multi-period single-allocation hub location-routing: Models and heuristic solutions," European Journal of Operational Research, Elsevier, vol. 310(1), pages 53-70.
    12. Mrabti, Nassim & Hamani, Nadia & Boulaksil, Youssef & Amine Gargouri, Mohamed & Delahoche, Laurent, 2022. "A multi-objective optimization model for the problems of sustainable collaborative hub location and cost sharing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).

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