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Queueing‐location problems on the plane

Author

Listed:
  • Zvi Drezner
  • Siegfried Schaible
  • David Simchi‐Levi

Abstract

In this article we present a queueing‐location problem where a location of a service station has to be determined. The two main results of this article are a convexity proof for general distances and a theorem that limits the area in the plane where the solution can lie. We also propose some solution procedures.

Suggested Citation

  • Zvi Drezner & Siegfried Schaible & David Simchi‐Levi, 1990. "Queueing‐location problems on the plane," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 929-935, December.
    • Handle: RePEc:wly:navres:v:37:y:1990:i:6:p:929-935
    DOI: 10.1002/1520-6750(199012)37:63.0.CO;2-8
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    References listed on IDEAS

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    1. Lawrence M. Ostresh, 1978. "On the Convergence of a Class of Iterative Methods for Solving the Weber Location Problem," Operations Research, INFORMS, vol. 26(4), pages 597-609, August.
    2. C. R. Bector, 1968. "Programming Problems with Convex Fractional Functions," Operations Research, INFORMS, vol. 16(2), pages 383-391, April.
    3. Oded Berman & Richard C. Larson & Samuel S. Chiu, 1985. "Optimal Server Location on a Network Operating as an M / G /1 Queue," Operations Research, INFORMS, vol. 33(4), pages 746-771, August.
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    Cited by:

    1. Mojtaba Borza & Azmin Sham Rambely, 2021. "A Linearization to the Sum of Linear Ratios Programming Problem," Mathematics, MDPI, vol. 9(9), pages 1-10, April.

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