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Location of facilities with rectangular distances among point and area destinations

Author

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  • G. O. Wesolowsky
  • R. F. Love

Abstract

This article is concerned with the optimal location of any number (n) of facilities in relation to any number (m) of destinations on the Euclidean plane. The criterion to be satisfied is the minimization of total weighted distances where the distances are rectangular. The destinations may be either single points, lines or rectangular areas. A gradient reduction solution procedure is described which has the property that the direction of descent is determined by the geometrical properties of the problem.

Suggested Citation

  • G. O. Wesolowsky & R. F. Love, 1971. "Location of facilities with rectangular distances among point and area destinations," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 18(1), pages 83-90, March.
    • Handle: RePEc:wly:navlog:v:18:y:1971:i:1:p:83-90
    DOI: 10.1002/nav.3800180107
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    Citations

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    Cited by:

    1. Drezner, Zvi & Eiselt, H.A., 2024. "Competitive location models: A review," European Journal of Operational Research, Elsevier, vol. 316(1), pages 5-18.
    2. Jannett Highfill & Michael Mcasey & Libin Mou, 1998. "Locating a recycling center: The general density case," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 4(4), pages 428-440, November.
    3. S. Nobakhtian & A. Raeisi Dehkordi, 2018. "An algorithm for generalized constrained multi-source Weber problem with demand substations," 4OR, Springer, vol. 16(4), pages 343-377, December.
    4. Tammy Drezner & Zvi Drezner, 1997. "Replacing continuous demand with discrete demand in a competitive location model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(1), pages 81-95, February.
    5. 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.
    6. Nazlı Dolu & Umur Hastürk & Mustafa Kemal Tural, 2020. "Solution methods for a min–max facility location problem with regional customers considering closest Euclidean distances," Computational Optimization and Applications, Springer, vol. 75(2), pages 537-560, March.
    7. J. Brimberg & G.O. Wesolowsky, 2000. "Note: Facility location with closest rectangular distances," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(1), pages 77-84, February.
    8. Tammy Drezner & Zvi Drezner & Pawel Kalczynski, 2019. "A directional approach to gradual cover," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 70-93, April.
    9. G Babich, 1978. "An Efficient Algorithm for Solving the Rectilinear Location-Allocation Problem," Environment and Planning A, , vol. 10(12), pages 1387-1395, December.
    10. 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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