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Technical Note—Equivalence between the Direct Search Approach and the Cut Approach to the Rectilinear Distance Location Problem

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  • Antoon Kolen

    (Mathematisch Centrum, Amsterdam, The Netherlands)

Abstract

Picard and Ratliff recently proposed a cut approach to the rectilinear distance location problem and claimed it is fundamentally different from the direct search approach as developed by Pritsker and Ghare, Rao, Juel and Love, and Sherali and Shetty. Our objective is to show that the cut approach is essentially a direct search approach.

Suggested Citation

  • Antoon Kolen, 1981. "Technical Note—Equivalence between the Direct Search Approach and the Cut Approach to the Rectilinear Distance Location Problem," Operations Research, INFORMS, vol. 29(3), pages 616-620, June.
    • Handle: RePEc:inm:oropre:v:29:y:1981:i:3:p:616-620
    DOI: 10.1287/opre.29.3.616
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    Cited by:

    1. Thomas Byrne & Sándor P. Fekete & Jörg Kalcsics & Linda Kleist, 2023. "Competitive location problems: balanced facility location and the One-Round Manhattan Voronoi Game," Annals of Operations Research, Springer, vol. 321(1), pages 79-101, February.
    2. Sándor P. Fekete & Joseph S. B. Mitchell & Karin Beurer, 2005. "On the Continuous Fermat-Weber Problem," Operations Research, INFORMS, vol. 53(1), pages 61-76, February.
    3. Thomas Byrne & S'andor P. Fekete & Jorg Kalcsics & Linda Kleist, 2020. "Competitive Location Problems: Balanced Facility Location and the One-Round Manhattan Voronoi Game," Papers 2011.13275, arXiv.org, revised Sep 2022.

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