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A Note on "The Latest Arrival Hub Location Problem"

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  • Bernd Wagner

    (Darmstadt University of Technology, Hochschulstrasse 1, 64289 Darmstadt, Germany)

Abstract

Kara and Tansel (Management Science, Volume 47, 2001, 1408--1420) introduce the latest arrival hub location problem as a more realistic way of modeling cargo delivery. The key feature of the new model is that each link in the network is served by a single vehicle that makes exactly one trip. As a result, the traffic requiring a particular link may be forced to wait for all other traffic requiring the same link to arrive. Therefore, the travel time between a particular pair of nodes depends not just on travel times of the links on the path taken, but also on these forced "waiting times," which are called transient times in Kara and Tansel (2001). We show, however, that if the objective function depends only on the maximum travel time, this "new" model is essentially the same as the classical model that ignores the transient times. Our result implies that two of the three versions of the latest arrival hub location problem proposed by Kara and Tansel, including the one to which they devote most of their paper, are equivalent to their classical counterparts.

Suggested Citation

  • Bernd Wagner, 2004. "A Note on "The Latest Arrival Hub Location Problem"," Management Science, INFORMS, vol. 50(12), pages 1751-1752, December.
    • Handle: RePEc:inm:ormnsc:v:50:y:2004:i:12:p:1751-1752
    DOI: 10.1287/mnsc.1040.0312
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    References listed on IDEAS

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    1. Wagner, Bernd, 2004. "Model formulations for hub covering problems," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 20662, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    2. 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.
    3. Kara, Bahar Y. & Tansel, Barbaros C., 2000. "On the single-assignment p-hub center problem," European Journal of Operational Research, Elsevier, vol. 125(3), pages 648-655, September.
    4. Bahar Y. Kara & Barbaros Ç. Tansel, 2001. "The Latest Arrival Hub Location Problem," Management Science, INFORMS, vol. 47(10), pages 1408-1420, October.
    5. B Y Kara & B C Tansel, 2003. "The single-assignment hub covering problem: Models and linearizations," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(1), pages 59-64, January.
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    Cited by:

    1. Samir Elhedhli & Huyu Wu, 2010. "A Lagrangean Heuristic for Hub-and-Spoke System Design with Capacity Selection and Congestion," INFORMS Journal on Computing, INFORMS, vol. 22(2), pages 282-296, May.
    2. Yaman, Hande, 2011. "Allocation strategies in hub networks," European Journal of Operational Research, Elsevier, vol. 211(3), pages 442-451, June.
    3. Yaman, Hande & Kara, Bahar Y. & Tansel, Barbaros Ç., 2007. "The latest arrival hub location problem for cargo delivery systems with stopovers," Transportation Research Part B: Methodological, Elsevier, vol. 41(8), pages 906-919, October.
    4. Jiang, Jianlin & Lee, Loo Hay & Chew, Ek Peng & Gan, Chee Chun, 2015. "Port connectivity study: An analysis framework from a global container liner shipping network perspective," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 73(C), pages 47-64.
    5. 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.
    6. Ting L. Lei, 2019. "Evaluating the Vulnerability of Time-Sensitive Transportation Networks: A Hub Center Interdiction Problem," Sustainability, MDPI, vol. 11(17), pages 1-13, August.
    7. Yaman, Hande, 2009. "The hierarchical hub median problem with single assignment," Transportation Research Part B: Methodological, Elsevier, vol. 43(6), pages 643-658, July.

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