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Extension of the Weiszfeld procedure to a single facility minisum location model with mixed ℓ p norms

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  • Jack Brimberg
  • Robert Love
  • Nenad Mladenović

Abstract

This paper presents a general mixed-norm minisum problem for locating a single facility in continuous space. It is assumed that several transportation modes exist between the new facility and a given set of fixed points (the customers), each mode being represented by a different ℓ p norm. A simple extension of Weiszfeld’s well known iterative procedure is proposed to solve the model. Convergence properties and optimality criteria are derived, and computational results are given. Copyright Springer-Verlag 2009

Suggested Citation

  • Jack Brimberg & Robert Love & Nenad Mladenović, 2009. "Extension of the Weiszfeld procedure to a single facility minisum location model with mixed ℓ p norms," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 70(2), pages 269-283, October.
    • Handle: RePEc:spr:mathme:v:70:y:2009:i:2:p:269-283
    DOI: 10.1007/s00186-008-0268-z
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    References listed on IDEAS

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    1. Durier, Roland & Michelot, Christian, 1985. "Geometrical properties of the Fermat-Weber problem," European Journal of Operational Research, Elsevier, vol. 20(3), pages 332-343, June.
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    Cited by:

    1. 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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    Keywords

    Weiszfeld procedure; Mixed norms;

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