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

p
 norms

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

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Article ID: iaor200971926
Country: Germany
Volume: 70
Issue: 2
Start Page Number: 269
End Page Number: 283
Publication Date: Oct 2009
Journal: Mathematical Methods of Operations Research
Authors: , ,
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.

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