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An efficient algorithm for the location‐allocation problem with rectangular regions

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  • Ann S. Marucheck
  • Adel A. Aly

Abstract

The location‐allocation problem for existing facilities uniformly distributed over rectangular regions is treated for the case where the rectilinear norm is used. The new facilities are to be located such that the expected total weighted distance is minimized. Properties of the problem are discussed. A branch and bound algorithm is developed for the exact solution of the problem. Computational results are given for different sized problems.

Suggested Citation

  • Ann S. Marucheck & Adel A. Aly, 1981. "An efficient algorithm for the location‐allocation problem with rectangular regions," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(2), pages 309-323, June.
    • Handle: RePEc:wly:navlog:v:28:y:1981:i:2:p:309-323
    DOI: 10.1002/nav.3800280213
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    Cited by:

    1. Byrne, Thomas & Kalcsics, Jörg, 2022. "Conditional facility location problems with continuous demand and a polygonal barrier," European Journal of Operational Research, Elsevier, vol. 296(1), pages 22-43.
    2. James F. Campbell, 1992. "Location‐allocation for distribution to a uniform demand with transshipments," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(5), pages 635-649, August.

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