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A Benders Decomposition for Hub Location Problems Arising in Public Transport

In: Operations Research Proceedings 2007

Author

Listed:
  • Shahin Gelareh

    (Fraunhofer Institut für Techno-und Wirtscaftsmathematik (ITWM))

  • Stefan Nickel

    (Universität des Saarlandes)

Abstract

In the last two decades, among the large amount of literature available on Hub Location Problems (HLP), applications in Public Transport (PT) have received less attentions compared to other fields, for example telecommunications. The first mathematical model for HLPs is proposed by O’Kelly [5] in 1987. In a HLP network, the flow originated from an origin i and destinated to node j is not shipped directly, rather, it is sent via some selected intermediate nodes (called hub nodes) and maybe intermediate edges (called hub edges) connecting these hubs. The sub-network composed of these hub facilities is known as hub-level network. The remaining nodes and edges are called spoke nodes or spoke edges of the spoke-level network. For applications in public transport planning, the hub level network consists of special types of transportation facilities which may be fast-lines, etc. Fig. 1 depicts a simple hub location model applied to public transport planning.

Suggested Citation

  • Shahin Gelareh & Stefan Nickel, 2008. "A Benders Decomposition for Hub Location Problems Arising in Public Transport," Operations Research Proceedings, in: Jörg Kalcsics & Stefan Nickel (ed.), Operations Research Proceedings 2007, pages 129-134, Springer.
    • Handle: RePEc:spr:oprchp:978-3-540-77903-2_20
    DOI: 10.1007/978-3-540-77903-2_20
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    Citations

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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. 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.
    3. de Sá, Elisangela Martins & de Camargo, Ricardo Saraiva & de Miranda, Gilberto, 2013. "An improved Benders decomposition algorithm for the tree of hubs location problem," European Journal of Operational Research, Elsevier, vol. 226(2), pages 185-202.

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