Authors: Brimberg, Jack
Love, Robert
Mladenović, Nenad 
Title: Extension of the Weiszfeld procedure to a single facility minisum location model with mixed ℓ p norms
Journal: Mathematical Methods of Operations Research
Volume: 70
Issue: 2
First page: 269
Last page: 283
Issue Date: 1-Oct-2009
Rank: M23
ISSN: 1432-2994
DOI: 10.1007/s00186-008-0268-z
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.
Keywords: Mixed norms | Weiszfeld procedure
Publisher: Springer Link

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