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The Obnoxious Facilities Planar p-Median Problem with Variable Sizes

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  • Kalczynski, Pawel
  • Drezner, Zvi

Abstract

The obnoxious facility location problem is to locate facilities that have a negative impact on communities (being “obnoxious”) and being farther from communities is preferred. For example, noisy or polluting factories, garbage dumps, airports, should not be located close to communities. Such facilities also serve the communities, otherwise they are not needed. Our goal is to minimize the system’s operating cost subject to a minimum distance requirement from communities. The multiple obnoxious facility problem is usually defined as locating several facilities maximizing the minimum distance between facilities and communities. However, not all facilities have the same impact on communities. In this paper we assume that the size of a facility depends on the volume of service provided by it. Larger garbage dumps, for example, should be located farther away from communities. The problem is extremely non-convex and available non-linear solvers are not performing well. We designed a special starting solution for non-linear solvers that provides better objective values, in a shorter run time.

Suggested Citation

  • Kalczynski, Pawel & Drezner, Zvi, 2022. "The Obnoxious Facilities Planar p-Median Problem with Variable Sizes," Omega, Elsevier, vol. 111(C).
    • Handle: RePEc:eee:jomega:v:111:y:2022:i:c:s0305048322000470
    DOI: 10.1016/j.omega.2022.102639
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    1. Pelegrín, Mercedes & Xu, Liding, 2023. "Continuous covering on networks: Improved mixed integer programming formulations," Omega, Elsevier, vol. 117(C).

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