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Optimal Positioning of a Mobile Service Unit on a Line

Author

Listed:
  • E. Carrizosa
  • M. Muñoz-Márquez
  • J. Puerto

Abstract

In this paper we address the problem of locating a mobile response unit when demand is distributed according to a random variable on a line. Properties are proven which reduce the problem to locating a non-mobile facility, transforming the original optimization problem into an one-dimensional convex program. In the special case of a discrete demand (a simple probability measure), an algorithm which runs in expected linear time is proposed. Copyright Kluwer Academic Publishers 2002

Suggested Citation

  • E. Carrizosa & M. Muñoz-Márquez & J. Puerto, 2002. "Optimal Positioning of a Mobile Service Unit on a Line," Annals of Operations Research, Springer, vol. 111(1), pages 75-88, March.
    • Handle: RePEc:spr:annopr:v:111:y:2002:i:1:p:75-88:10.1023/a:1020993417646
    DOI: 10.1023/A:1020993417646
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    Cited by:

    1. Huang, Rongbing & Menezes, Mozart B.C. & Kim, Seokjin, 2012. "The impact of cost uncertainty on the location of a distribution center," European Journal of Operational Research, Elsevier, vol. 218(2), pages 401-407.
    2. Kannan Viswanath & James Ward, 2010. "Stochastic Location-assignment on an Interval with Sequential Arrivals," Networks and Spatial Economics, Springer, vol. 10(3), pages 389-410, September.

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