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Hub Arc Location Problems: Part I---Introduction and Results

Author

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  • J. F. Campbell

    (College of Business Administration, University of Missouri--St. Louis, 8001 Natural Bridge Road, St. Louis, Missouri 63121-4499)

  • A. T. Ernst

    (CSIRO Mathematical and Information Sciences, Private Bag 10, South Bank MDC, Clayton, VIC 3169, Australia)

  • M. Krishnamoorthy

    (CSIRO Mathematical and Information Sciences, Private Bag 10, South Bank MDC, Clayton, VIC 3169, Australia)

Abstract

Hub networks play an important role in many transportation and telecommunications systems. This paper introduces a new model called the hub arc location model. Rather than locate discrete hub facilities, this model locates hub arcs, which have reduced unit flow costs. Four special cases of the general hub arc location model are examined in detail. We provide motivation for the new models, and present examples and optimal solutions, using data for U.S. air passenger traffic. Results are used to compare optimal costs, hub locations, and hub arc locations with corresponding hub median optimal solutions. The results reveal interesting spatial patterns and help identify promising cities and regions for hubs. A companion paper (Campbell et al. 2005) presents integer programming formulations and solution algorithms for the new hub arc problems. It also provides details and computation times for these solution algorithms.

Suggested Citation

  • J. F. Campbell & A. T. Ernst & M. Krishnamoorthy, 2005. "Hub Arc Location Problems: Part I---Introduction and Results," Management Science, INFORMS, vol. 51(10), pages 1540-1555, October.
    • Handle: RePEc:inm:ormnsc:v:51:y:2005:i:10:p:1540-1555
    DOI: 10.1287/mnsc.1050.0406
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    References listed on IDEAS

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    1. Marianov, Vladimir & Serra, Daniel & ReVelle, Charles, 1999. "Location of hubs in a competitive environment," European Journal of Operational Research, Elsevier, vol. 114(2), pages 363-371, April.
    2. Aykin, Turgut, 1994. "Lagrangian relaxation based approaches to capacitated hub-and-spoke network design problem," European Journal of Operational Research, Elsevier, vol. 79(3), pages 501-523, December.
    3. Podnar, Hrvoje & Skorin-Kapov, Jadranka & Skorin-Kapov, Darko, 2002. "Network cost minimization using threshold-based discounting," European Journal of Operational Research, Elsevier, vol. 137(2), pages 371-386, March.
    4. Campbell, James F., 1990. "Locating transportation terminals to serve an expanding demand," Transportation Research Part B: Methodological, Elsevier, vol. 24(3), pages 173-192, June.
    5. Roy E. Marsten & Michael R. Muller, 1980. "A Mixed-Integer Programming Approach to Air Cargo Fleet Planning," Management Science, INFORMS, vol. 26(11), pages 1096-1107, November.
    6. Warren B. Powell & Yosef Sheffi, 1989. "OR Practice—Design and Implementation of an Interactive Optimization System for Network Design in the Motor Carrier Industry," Operations Research, INFORMS, vol. 37(1), pages 12-29, February.
    7. Skorin-Kapov, Darko & Skorin-Kapov, Jadranka, 1994. "On tabu search for the location of interacting hub facilities," European Journal of Operational Research, Elsevier, vol. 73(3), pages 502-509, March.
    8. Turgut Aykin & Gary F. Brown, 1992. "Interacting New Facilities and Location-Allocation Problems," Transportation Science, INFORMS, vol. 26(3), pages 212-222, August.
    9. O'Kelly, M. E. & Bryan, D. L., 1998. "Hub location with flow economies of scale," Transportation Research Part B: Methodological, Elsevier, vol. 32(8), pages 605-616, November.
    10. Janny M. Y. Leung & Thomas L. Magnanti & Vijay Singhal, 1990. "Routing in Point-to-Point Delivery Systems: Formulations and Solution Heuristics," Transportation Science, INFORMS, vol. 24(4), pages 245-260, November.
    11. Ebery, Jamie & Krishnamoorthy, Mohan & Ernst, Andreas & Boland, Natashia, 2000. "The capacitated multiple allocation hub location problem: Formulations and algorithms," European Journal of Operational Research, Elsevier, vol. 120(3), pages 614-631, February.
    12. Klincewicz, J. G., 1991. "Heuristics for the p-hub location problem," European Journal of Operational Research, Elsevier, vol. 53(1), pages 25-37, July.
    13. Turgut Aykin, 1988. "On the Location of Hub Facilities," Transportation Science, INFORMS, vol. 22(2), pages 155-157, May.
    14. Aykin, Turgut, 1995. "The hub location and routing problem," European Journal of Operational Research, Elsevier, vol. 83(1), pages 200-219, May.
    15. Kuby, Michael J. & Gray, Robert Gordon, 1993. "The hub network design problem with stopovers and feeders: The case of Federal Express," Transportation Research Part A: Policy and Practice, Elsevier, vol. 27(1), pages 1-12, January.
    16. Sue Abdinnour-Helm & M.A. Venkataramanan, 1998. "Solution approaches to hub location problems," Annals of Operations Research, Springer, vol. 78(0), pages 31-50, January.
    17. Morton O'Kelly & Darko Skorin-Kapov & Jadranka Skorin-Kapov, 1995. "Lower Bounds for the Hub Location Problem," Management Science, INFORMS, vol. 41(4), pages 713-721, April.
    18. 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.
    19. J. F. Campbell & A. T. Ernst & M. Krishnamoorthy, 2005. "Hub Arc Location Problems: Part II---Formulations and Optimal Algorithms," Management Science, INFORMS, vol. 51(10), pages 1556-1571, October.
    20. John Flynn & Samuel Ratick, 1988. "A Multiobjective Hierarchical Covering Model for the Essential Air Services Program," Transportation Science, INFORMS, vol. 22(2), pages 139-147, May.
    21. A.T. Ernst & M. Krishnamoorthy, 1999. "Solution algorithms for the capacitated single allocation hub location problem," Annals of Operations Research, Springer, vol. 86(0), pages 141-159, January.
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