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Set of efficient points in linear multicriteria problems

โœ Scribed by V. A. Volkonskii; G. K. Eganyan; A. B. Pomanskii


Publisher
SP MAIK Nauka/Interperiodica
Year
1983
Tongue
English
Weight
668 KB
Volume
24
Category
Article
ISSN
0037-4466

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Structure of efficient sets in lexicogra
โœ Nicolae Popovici ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 188 KB

The aim of this paper is to emphasize some remarkable properties of multicriteria optimization problems involving lexicographic quasiconvex objective functions. It is shown that, under appropriate assumptions, these problems are Pareto reducible and their efficient sets are strongly contractible.