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Hub Arc Location Problems: Part II---Formulations and Optimal Algorithms

Author

Listed:
  • 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

A companion paper (Campbell et al. 2005) introduces new hub arc location models and analyzes optimal solutions, with special attention to spatial pattens and relationships. This paper provides integer programming formulations and optimal solution algorithms for these problems. We describe two optimal solution approaches in detail and compare their performance, using standard hub location data sets. We present implementation details and show how algorithms can be fine tuned based on characteristics of the data.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ormnsc:v:51:y:2005:i:10:p:1556-1571
    DOI: 10.1287/mnsc.1050.0407
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    References listed on IDEAS

    as
    1. Mirchandani, Prakash, 2000. "Projections of the capacitated network loading problem," European Journal of Operational Research, Elsevier, vol. 122(3), pages 534-560, May.
    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. Gavish, Bezalel, 1992. "Topological design of computer communication networks -- The overall design problem," European Journal of Operational Research, Elsevier, vol. 58(2), pages 149-172, April.
    4. 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.
    5. Boland, Natashia & Krishnamoorthy, Mohan & Ernst, Andreas T. & Ebery, Jamie, 2004. "Preprocessing and cutting for multiple allocation hub location problems," European Journal of Operational Research, Elsevier, vol. 155(3), pages 638-653, June.
    Full references (including those not matched with items on IDEAS)

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