## Geometrical properties of generalized single facility location problems

• In this paper we deal with single facility location problems in a general normed space where the existing facilities are represented by sets. The criterion to be satis ed by the service facility is the minimization of an increasing function of the distances from the service to the closest point ofeach demand set. We obtain a geometrical characterization of the set of optimal solutions for this problem. Two remarkable cases - the classical Weber problem and the minmax problem with demand sets - are studied as particular instances of our problem. Finally, for the planar polyhedral case we give an algorithmic description of the solution set of the considered problems.

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Verfasserangaben: Stefan Nickel, Justo Puerto, Antonio M. Rodriguez-Chia urn:nbn:de:hbz:386-kluedo-10642 Report in Wirtschaftsmathematik (WIMA Report) (52) Preprint Englisch 2000 2000 Technische Universität Kaiserslautern 29.08.2000 Convex Analysis ; Geometrical algorithms; Location Theory Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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