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Location Among Regions with Varying Norms

Author

Listed:
  • Jack Brimberg
  • H. Kakhki
  • George Wesolowsky

Abstract

This paper investigates a new variation in the continuous single facility location problem. Specifically, we address the problem of locating a new facility on a plane with different distance norms on different sides of a boundary line. Special cases and extensions of the problem, where there are more than two regions are also discussed. Finally, by investigating the properties of the models, efficient solution procedures are proposed. Copyright Kluwer Academic Publishers 2003

Suggested Citation

  • Jack Brimberg & H. Kakhki & George Wesolowsky, 2003. "Location Among Regions with Varying Norms," Annals of Operations Research, Springer, vol. 122(1), pages 87-102, September.
    • Handle: RePEc:spr:annopr:v:122:y:2003:i:1:p:87-102:10.1023/a:1026190322164
    DOI: 10.1023/A:1026190322164
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    Citations

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    Cited by:

    1. Zaferanieh, M. & Taghizadeh Kakhki, H. & Brimberg, J. & Wesolowsky, G.O., 2008. "A BSSS algorithm for the single facility location problem in two regions with different norms," European Journal of Operational Research, Elsevier, vol. 190(1), pages 79-89, October.
    2. Franco, L. & Velasco, F. & Gonzalez-Abril, L. & Mesa, Juan A., 2018. "Single-facility location problems in two regions with ℓ1- and ℓq-norms separated by a straight line," European Journal of Operational Research, Elsevier, vol. 269(2), pages 577-589.
    3. Marco Botte, 2021. "Fixed gate point location problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(2), pages 547-582, July.
    4. Franco, L. & Velasco, F. & Gonzalez-Abril, L., 2012. "Gate points in continuous location between regions with different ℓp norms," European Journal of Operational Research, Elsevier, vol. 218(3), pages 648-655.
    5. Gökhan Altay & M. Hakan Akyüz & Temel Öncan, 2023. "Solving a minisum single facility location problem in three regions with different norms," Annals of Operations Research, Springer, vol. 321(1), pages 1-37, February.

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