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Multicriteria Ordered Weber Problems

  • In this paper we deal with the determination of the whole set of Pareto-solutions of location problems with respect to Q general criteria.These criteria include median, center or cent-dian objective functions as particular instances.The paper characterizes the set of Pareto-solutions of a these multicriteria problems. An efficient algorithm for the planar case is developed and its complexity is established. Extensions to higher dimensions as well as to the non-convexcase are also considered.The proposed approach is more general than the previously published approaches to multi-criteria location problems and includes almost all of them as particular instances.

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Author:Stefan Nickel, Justo Puerto, Antonio M. Rodriguez-Chia
URN (permanent link):urn:nbn:de:hbz:386-kluedo-10652
Serie (Series number):Report in Wirtschaftsmathematik (WIMA Report) (53)
Document Type:Preprint
Language of publication:English
Year of Completion:1999
Year of Publication:1999
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/08/29
Tag:Algebraic Optimization; Geometrical Algorithms; Location Theory; Multicriteria Optimization
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011