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The hierarchical hub median problem with single assignment

  • Yaman, Hande
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    We study the problem of designing a three level hub network where the top level consists of a complete network connecting the so-called central hubs and the second and third levels are unions of star networks connecting the remaining hubs to central hubs and the demand centers to hubs and central hubs, respectively. The problem is to decide on the locations of a predetermined number of hubs and central hubs and the connections in order to minimize the total routing cost in the resulting network. This problem includes the classical p-hub median problem as a special case. We also consider a version of this problem where service quality considerations are incorporated through delivery time restrictions. We propose mixed integer programming models for these two problems and report the outcomes of a computational study using the CAB data and the Turkey data.

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    Article provided by Elsevier in its journal Transportation Research Part B: Methodological.

    Volume (Year): 43 (2009)
    Issue (Month): 6 (July)
    Pages: 643-658

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    Handle: RePEc:eee:transb:v:43:y:2009:i:6:p:643-658
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    1. Klincewicz, J. G., 1991. "Heuristics for the p-hub location problem," European Journal of Operational Research, Elsevier, vol. 53(1), pages 25-37, July.
    2. Sohn, Jinhyeon & Park, Sungsoo, 1998. "Efficient solution procedure and reduced size formulations for p-hub location problems," European Journal of Operational Research, Elsevier, vol. 108(1), pages 118-126, July.
    3. Bernd Wagner, 2004. "A Note on "The Latest Arrival Hub Location Problem"," Management Science, INFORMS, vol. 50(12), pages 1751-1752, December.
    4. 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.
    5. Sohn, Jinhyeon & Park, Sungsoo, 1997. "A linear program for the two-hub location problem," European Journal of Operational Research, Elsevier, vol. 100(3), pages 617-622, August.
    6. Hasan Pirkul & David A. Schilling, 1998. "An Efficient Procedure for Designing Single Allocation Hub and Spoke Systems," Management Science, INFORMS, vol. 44(12-Part-2), pages S235-S242, December.
    7. 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.
    8. Bahar Y. Kara & Barbaros Ç. Tansel, 2001. "The Latest Arrival Hub Location Problem," Management Science, INFORMS, vol. 47(10), pages 1408-1420, October.
    9. Wagner, Bernd, 2004. "A note on "the latest arrival hub location problem"," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 20660, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    10. Ebery, Jamie, 2001. "Solving large single allocation p-hub problems with two or three hubs," European Journal of Operational Research, Elsevier, vol. 128(2), pages 447-458, January.
    11. 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.
    12. Wagner, Bernd, 2004. "A note on "The latest arrival hub location problem"," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 22649, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    13. Skorin-Kapov, Darko & Skorin-Kapov, Jadranka & O'Kelly, Morton, 1996. "Tight linear programming relaxations of uncapacitated p-hub median problems," European Journal of Operational Research, Elsevier, vol. 94(3), pages 582-593, November.
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