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Location-Relocation of Mobile Facilities on a Stochastic Network

Author

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  • O. Berman

    (The University of Calgary, Calgary, Alberta, Canada)

  • B. LeBlanc

    (The University of Calgary, Calgary, Alberta, Canada)

Abstract

In this paper we deal with networks whose link travel times are not constant but undergo random changes. As a result of these changes the network may be in a finite number of discrete states. The paper contains a heuristic that finds the optimal set of locations for a set a facilities (servers), which may be moved, at a cost, in response to changes in the state of the network. The heuristic is suitable for a general number of facilities (previous research dealt with a single facility). The heuristic, which executes in polynomial time, is compared to the exact solution of the integer linear programming version of the problem for a series of small examples. For larger examples, the solution of the heuristic is compared to several bounds. An efficient method for performing sensitivity analysis is also indicated.

Suggested Citation

  • O. Berman & B. LeBlanc, 1984. "Location-Relocation of Mobile Facilities on a Stochastic Network," Transportation Science, INFORMS, vol. 18(4), pages 315-330, November.
    • Handle: RePEc:inm:ortrsc:v:18:y:1984:i:4:p:315-330
    DOI: 10.1287/trsc.18.4.315
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    Cited by:

    1. Current, John & Ratick, Samuel & ReVelle, Charles, 1998. "Dynamic facility location when the total number of facilities is uncertain: A decision analysis approach," European Journal of Operational Research, Elsevier, vol. 110(3), pages 597-609, November.
    2. 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.
    3. Reza Farahani & Zvi Drezner & Nasrin Asgari, 2009. "Single facility location and relocation problem with time dependent weights and discrete planning horizon," Annals of Operations Research, Springer, vol. 167(1), pages 353-368, March.
    4. Fang Lu & John J. Hasenbein & David P. Morton, 2016. "Modeling and Optimization of a Spatial Detection System," INFORMS Journal on Computing, INFORMS, vol. 28(3), pages 512-526, August.
    5. 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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