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A separation method for maximal covering location problems with fuzzy parameters

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Date
2017
Author
Azhmyakov V.
Fernandez-Gutierrez J.P.
Pickl S.
Department of Basic Sciences, Universidad de Medellin, Medellin, Colombia
Institut fur Theoretische Informatik, Mathematik und Operations Research, Fakultat fur Informatik, Universitat der Bundeswehr Munchen, Munchen, Germany

Citación

       
TY - GEN T1 - A separation method for maximal covering location problems with fuzzy parameters AU - Azhmyakov V. AU - Fernandez-Gutierrez J.P. AU - Pickl S. Y1 - 2017 UR - http://hdl.handle.net/11407/4286 PB - Forum-Editrice Universitaria Udinese SRL AB - ER - @misc{11407_4286, author = {Azhmyakov V. and Fernandez-Gutierrez J.P. and Pickl S.}, title = {A separation method for maximal covering location problems with fuzzy parameters}, year = {2017}, abstract = {}, url = {http://hdl.handle.net/11407/4286} }RT Generic T1 A separation method for maximal covering location problems with fuzzy parameters A1 Azhmyakov V. A1 Fernandez-Gutierrez J.P. A1 Pickl S. YR 2017 LK http://hdl.handle.net/11407/4286 PB Forum-Editrice Universitaria Udinese SRL AB OL Spanish (121)
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Abstract
Our paper discusses a novel computational approach to the extended Maximal Covering Location Problem (MCLP). We consider a fuzzy-type formulation of the generic MCLP and develop the necessary theoretical and numerical aspects of the proposed Separation Method (SM). A speciffic structure of the originally given MCLP makes it possible to reduce it to two auxiliary Knapsack-type problems. The equivalent separation we propose reduces essentially the complexity of the resulting computational algorithms. This algorithm also incorporates a conventional relaxation technique and the scalarizing method applied to an auxiliary multiobjective optimization problem. The proposed solution methodology is next applied to Supply Chain optimization in the presence of incomplete information. We study two illustrative examples and give a rigorous analysis of the obtained results.
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http://hdl.handle.net/11407/4286
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