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A Unified Family of Single-Server Queueing Location Models

Author

Listed:
  • Margaret L. Brandeau

    (Stanford University, Stanford, California)

  • Samuel S. Chiu

    (Stanford University, Stanford, California)

Abstract

In this paper, we introduce a general class of single-server network location models which includes the median, center, stochastic queue median, stochastic queue center, L p norm, and other location problems in a single parametric framework. The model incorporates both queueing effects and a cost function (similar to a disutility function), which is nonlinear in response time. We develop a number of properties of this class of models, and present a method for evaluating a range of different objective functions for any given problem. The robustness of the median and center objectives as solution concepts is highlighted.

Suggested Citation

  • Margaret L. Brandeau & Samuel S. Chiu, 1990. "A Unified Family of Single-Server Queueing Location Models," Operations Research, INFORMS, vol. 38(6), pages 1034-1044, December.
    • Handle: RePEc:inm:oropre:v:38:y:1990:i:6:p:1034-1044
    DOI: 10.1287/opre.38.6.1034
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    Cited by:

    1. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.
    2. Wenxuan Shan & Qianqian Yan & Chao Chen & Mengjie Zhang & Baozhen Yao & Xuemei Fu, 2019. "Optimization of competitive facility location for chain stores," Annals of Operations Research, Springer, vol. 273(1), pages 187-205, February.

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