1. Multicriteria Planar Ordered Median Problems
- Author
-
Perea Rojas-Marcos, Federico, Puerto Albandoz, Justo, and Universidad de Sevilla. Departamento de Estadística e Investigación Operativa
- Subjects
multicriteria optimization ,geometrical algorithms ,algebraic optimization ,Location theory - 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.
- Published
- 2007