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On models for continuous facility location with partial coverage

Author

Listed:
  • Jack Brimberg

    (1] Royal Military College of Canada, Kingston, Ontario, Canada[2] Groupe d'Études et de Recherche en Analyse des Décisions, Montreal, Quebec, Canada)

  • Henrik Juel

    (Technical University of Denmark, Lyngby, Denmark)

  • Mark-Christoph Korner

    (Georg-August-Universitat Gottingen, Gottingen, Germany)

  • Anita Schöbel

    (Georg-August-Universitat Gottingen, Gottingen, Germany)

Abstract

This paper presents a new concept of partial coverage distance, where demand points within a given threshold distance of a new facility are covered in the traditional sense, while non-covered demand points are penalized an amount proportional to their distance to the covered region. Two single facility location models, based on the minisum and minimax criteria, are formulated with the new distance function, and the structure of the models is analysed.

Suggested Citation

  • Jack Brimberg & Henrik Juel & Mark-Christoph Korner & Anita Schöbel, 2015. "On models for continuous facility location with partial coverage," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(1), pages 33-43, January.
    • Handle: RePEc:pal:jorsoc:v:66:y:2015:i:1:p:33-43
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    Citations

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    Cited by:

    1. Musolino, Giuseppe & Rindone, Corrado & Polimeni, Antonio & Vitetta, Antonino, 2019. "Planning urban distribution center location with variable restocking demand scenarios: General methodology and testing in a medium-size town," Transport Policy, Elsevier, vol. 80(C), pages 157-166.
    2. Craparo, Emily M. & Fügenschuh, Armin & Hof, Christoph & Karatas, Mumtaz, 2019. "Optimizing source and receiver placement in multistatic sonar networks to monitor fixed targets," European Journal of Operational Research, Elsevier, vol. 272(3), pages 816-831.
    3. Karatas, Mumtaz, 2017. "A multi-objective facility location problem in the presence of variable gradual coverage performance and cooperative cover," European Journal of Operational Research, Elsevier, vol. 262(3), pages 1040-1051.

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