Multicriteria Planar Ordered Median Problems

S. Nickel, J. Puerto, A. M. Rodríguez-Chía and A. Weissler
Additional contact information
S. Nickel: Saarland University
J. Puerto: Universidad de Sevilla
A. M. Rodríguez-Chía: Universidad de Cádiz
A. Weissler: SAP AG

Journal of Optimization Theory and Applications, 2005, vol. 126, issue 3, No 9, 657-683

Abstract: Abstract In this paper, we deal with the determination of the entire set of Pareto solutions of location problems involving Q general criteria. These criteria include median, center, or centdian objective functions as particular instances. We characterize the set of Pareto solutions of all these multicriteria problems for any polyhedral gauge. An efficient algorithm is developed for the planar case and its complexity is established. Extensions to the nonconvex case are also considered. The proposed approach is more general than previously published approaches to multicriteria location problems.

Keywords: Location theory; multicriteria optimization; algebraic optimization; geometrical algorithms (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10957-005-5502-8

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