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Geometrical Description of the Weakly Efficient Solution Set for Multicriteria Location Problems

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  • A.M. Rodríguez-Chía
  • J. Puerto

Abstract

Multicriteria location problems have attracted much attention in the last years within the field of Location Analysis. The central task in their analysis relies on the description of the whole set of non-dominated solutions with respect to the different criteria. Solutions to this problem in particular situations are known. In this paper we characterize the solution set of the general convex multicriteria location problem in two dimensional spaces. These tools allows us to describe in the same way the solution set of several classical location models as well as many other new problems for which no previous solution was known. Copyright Kluwer Academic Publishers 2002

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  • A.M. Rodríguez-Chía & J. Puerto, 2002. "Geometrical Description of the Weakly Efficient Solution Set for Multicriteria Location Problems," Annals of Operations Research, Springer, vol. 111(1), pages 181-196, March.
    • Handle: RePEc:spr:annopr:v:111:y:2002:i:1:p:181-196:10.1023/a:1020905820371
    DOI: 10.1023/A:1020905820371
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    Cited by:

    1. Frank Plastria, 2020. "On the Structure of the Weakly Efficient Set for Quasiconvex Vector Minimization," Journal of Optimization Theory and Applications, Springer, vol. 184(2), pages 547-564, February.
    2. Christian Günther & Christiane Tammer, 2016. "Relationships between constrained and unconstrained multi-objective optimization and application in location theory," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 84(2), pages 359-387, October.

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