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Equitable location of facilities in a region with probabilistic barriers to travel

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  • Amiri-Aref, Mehdi
  • Farahani, Reza Zanjirani
  • Hewitt, Mike
  • Klibi, Walid

Abstract

This paper studies a planar multi-facility location problem that considers the presence of a restricted region with probabilistic position. This problem seeks to locate facilities in an equitable manner by minimizing the maximum expected distance traveled from demand points to access a facility, as well as distances between locations of new facilities. We propose a heuristic to solve this problem that combines a bounding approach with a split-divide-and-conquer strategy. Computational study shows that this heuristic produces high-quality solutions in reasonable run-times. We report findings from a case-study involving locating police facilities in Kingston-Upon-Thames.

Suggested Citation

  • Amiri-Aref, Mehdi & Farahani, Reza Zanjirani & Hewitt, Mike & Klibi, Walid, 2019. "Equitable location of facilities in a region with probabilistic barriers to travel," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 66-85.
    • Handle: RePEc:eee:transe:v:127:y:2019:i:c:p:66-85
    DOI: 10.1016/j.tre.2019.04.010
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