Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 227, Issue 1, Pages 12-21Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ejor.2012.09.006
Keywords
Multiple objective programming; Linear vector semi-infinite optimization; Constraint qualifications; Cone conditions; KKT conditions
Funding
- MICINN of Spain [MTM2011-29064-C03-02]
- CONACYT of Mexico [55681]
- Australian Research Council [DP120100467]
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Linear vector semi-infinite optimization deals with the simultaneous minimization of finitely many linear scalar functions subject to infinitely many linear constraints. This paper provides characterizations of the weakly efficient, efficient, properly efficient and strongly efficient points in terms of cones involving the data and Karush-Kuhn-Tucker conditions. The latter characterizations rely on different local and global constraint qualifications. The global constraint qualifications are illustrated on a collection of selected applications. (C) 2012 Elsevier B.V. All rights reserved.
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