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The Stochastic Queue p -Median Problem

Author

Listed:
  • O. Berman

    (University of Massachusetts, Boston, Massachusetts)

  • R. C. Larson

    (Massachusetts Institute of Technology, Cambridge, Massachusetts)

  • C. Parkan

    (University of Calgary, Calgary, Alberta, Canada)

Abstract

This paper derives two easily programmable heuristic procedures for locating p mobile service units on a network in the presence of queueing-like congestion. Both heuristics take advantage of the Hypercube model, a location model for a single service unit, and a normalizing technique known as mean service time calibration. Heuristic 1 uses the 1-median problem, whereas heuristic 2 uses the stochastic queue median. A simulation model is employed to validate the results and compare the heuristics.

Suggested Citation

  • O. Berman & R. C. Larson & C. Parkan, 1987. "The Stochastic Queue p -Median Problem," Transportation Science, INFORMS, vol. 21(3), pages 207-216, August.
    • Handle: RePEc:inm:ortrsc:v:21:y:1987:i:3:p:207-216
    DOI: 10.1287/trsc.21.3.207
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    Citations

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    Cited by:

    1. O Berman & Z Drezner, 2007. "The multiple server location problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(1), pages 91-99, January.
    2. Sayarshad, Hamid R. & Chow, Joseph Y.J., 2017. "Non-myopic relocation of idle mobility-on-demand vehicles as a dynamic location-allocation-queueing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 60-77.
    3. Mumtaz Karatas & Nasuh Razi & Murat M. Gunal, 2017. "An ILP and simulation model to optimize search and rescue helicopter operations," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(11), pages 1335-1351, November.
    4. Robert Aboolian & Oded Berman & Zvi Drezner, 2009. "The multiple server center location problem," Annals of Operations Research, Springer, vol. 167(1), pages 337-352, March.
    5. Oded Berman & Zvi Drezner & Arie Tamir & George Wesolowsky, 2009. "Optimal location with equitable loads," Annals of Operations Research, Springer, vol. 167(1), pages 307-325, March.
    6. Simin Huang & Rajan Batta & Rakesh Nagi, 2005. "Distribution network design: Selection and sizing of congested connections," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(8), pages 701-712, December.

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