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Solution Strategies For The Single Facility Minimax Hub Location Problem

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  • Morton E. O'Kelly
  • Harvey J. Miller

Abstract

ABSTRACT In this paper, the single facility minimax hub location problem is considered. The problem involves siting a hub facility in order to minimize the most costly interaction between a set of fixed nodes. Several solution techniques are reviewed, including: discrete locational evaluation; Helly's Theorem; a graphical approach; linear programming feasibility; and Drezner's round trip location algorithm. A comparison of these approaches favors the Drezner algorithm. The minimax hub location problem and the Drezner solution strategy are illustrated through application to air passenger flows between U.S. Cities.

Suggested Citation

  • Morton E. O'Kelly & Harvey J. Miller, 1991. "Solution Strategies For The Single Facility Minimax Hub Location Problem," Papers in Regional Science, Wiley Blackwell, vol. 70(4), pages 367-380, October.
    • Handle: RePEc:bla:presci:v:70:y:1991:i:4:p:367-380
    DOI: 10.1111/j.1435-5597.1991.tb01738.x
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    Cited by:

    1. M. O’Kelly, 2009. "Rectilinear minimax hub location problems," Journal of Geographical Systems, Springer, vol. 11(3), pages 227-241, September.
    2. Harvey J Miller, 2005. "Necessary Space—Time Conditions for Human Interaction," Environment and Planning B, , vol. 32(3), pages 381-401, June.
    3. Gelareh, Shahin & Nickel, Stefan, 2011. "Hub location problems in transportation networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 1092-1111.
    4. Goetz, Andrew R., 1992. "Geographic Patterns of air fares & service frequencies... U.S. hub cities," Transportation Research Forum Proceedings 1990s 311875, Transportation Research Forum.
    5. Campbell, Ann Melissa & Lowe, Timothy J. & Zhang, Li, 2007. "The p-hub center allocation problem," European Journal of Operational Research, Elsevier, vol. 176(2), pages 819-835, January.
    6. 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.
    7. Bahar Y. Kara & Barbaros Ç. Tansel, 2001. "The Latest Arrival Hub Location Problem," Management Science, INFORMS, vol. 47(10), pages 1408-1420, October.
    8. James F. Campbell & Morton E. O'Kelly, 2012. "Twenty-Five Years of Hub Location Research," Transportation Science, INFORMS, vol. 46(2), pages 153-169, May.
    9. Yaman, Hande, 2011. "Allocation strategies in hub networks," European Journal of Operational Research, Elsevier, vol. 211(3), pages 442-451, June.
    10. 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.
    11. 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.
    12. O Berman & Z Drezner & G O Wesolowsky, 2008. "The multiple location of transfer points," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(6), pages 805-811, June.
    13. Eghbal Akhlaghi, Vahid & Campbell, Ann Melissa, 2022. "The two-echelon island fuel distribution problem," European Journal of Operational Research, Elsevier, vol. 302(3), pages 999-1017.

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