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.
Verfasser*innenangaben: | Stefan Nickel, Justo Puerto, Antonio M. Rodriguez-Chia |
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URN: | urn:nbn:de:hbz:386-kluedo-10652 |
Schriftenreihe (Bandnummer): | Report in Wirtschaftsmathematik (WIMA Report) (53) |
Dokumentart: | Preprint |
Sprache der Veröffentlichung: | Englisch |
Jahr der Fertigstellung: | 1999 |
Jahr der Erstveröffentlichung: | 1999 |
Veröffentlichende Institution: | Technische Universität Kaiserslautern |
Datum der Publikation (Server): | 29.08.2000 |
Freies Schlagwort / Tag: | Algebraic Optimization; Geometrical Algorithms; Location Theory; Multicriteria Optimization |
Fachbereiche / Organisatorische Einheiten: | Kaiserslautern - Fachbereich Mathematik |
DDC-Sachgruppen: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Lizenz (Deutsch): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |