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General Continuous Multicriteria Location 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 as particular instances median, center or cent-dian objective functions. The paper characterizes the set of Pareto-solutions of all these multicriteria problems. An efficient algorithm for the planar case is developed and its complexity is established. the proposed approach is more general than the previously published approaches to multicriteria location problems and includes almost all of them as particular instances.

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Author:Stefan Nickel, Justo Puerto, Antonio M. Rodriguez-Chia, Ansgar Weißler
URN (permanent link):urn:nbn:de:hbz:386-kluedo-4703
Serie (Series number):Report in Wirtschaftsmathematik (WIMA Report) (28)
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):2000/04/03
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