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A generalized Weiszfeld method for the multi-facility location problem
Date
2010-05-01
Author
İyigün, Cem
Ben-Israel, Adi
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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An iterative method is proposed for the K facilities location problem. The problem is relaxed using probabilistic assignments, depending on the distances to the facilities. The probabilities, that decompose the problem into K single-facility location problems, are updated at each iteration together with the facility locations. The proposed method is a natural generalization of the Weiszfeld method to several facilities.
Subject Keywords
Fermat-Weber location problem
,
Multi-facility location problem
,
Decomposition method
,
Probabilistic assignments
,
Weiszfeld method
URI
https://hdl.handle.net/11511/43210
Journal
OPERATIONS RESEARCH LETTERS
DOI
https://doi.org/10.1016/j.orl.2009.11.005
Collections
Department of Industrial Engineering, Article