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Titel
Jahn-Graef-Younes type algorithms for discrete vector optimization based on cone-monotone sorting functions / Christian Günther and Nicolae Popovici
VerfasserGünther, Christian ; Popovici, Nicolae
ErschienenHalle/Saale : Martin-Luther-Universität Halle-Wittenberg, Naturwissenschaftliche Fakultät II, Institut für Mathematik, [2017]
Umfang1 Online-Ressource (37 Seiten, 1,26 MB) : Diagramme
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SpracheEnglisch
SerieReports ; 2017, No. 06
URNurn:nbn:de:gbv:3:2-75328 
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Jahn-Graef-Younes type algorithms for discrete vector optimization based on cone-monotone sorting functions [1.25 mb]
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In this paper we present new Jahn-Graef-Younes type algorithms for solving discrete vector optimization problems. In order to determine all minimal elements of a finite set with respect to an ordering cone the original approach proposed by Jahn in 2006 (known as the Jahn-Graef-Younes method) consists of a forward iteration (Graef-Younes method) followed by a backward iteration. Our methods involve additional sorting procedures based on scalar cone-monotone functions. In particular we analyze the case where the ordering cone is polyhedral. Computational results obtained in MATLAB allow us to compare our new algorithms with the original Jahn-Graef-Younes method.