日本オペレーションズ・リサーチ学会論文誌
Online ISSN : 2188-8299
Print ISSN : 0453-4514
ISSN-L : 0453-4514
ON LINEAR VECTOR MAXIMIZATION PROBLEMS
KATSUTOSHI TAMURASHINJI MIURA
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1977 年 20 巻 3 号 p. 139-149

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In this paper the solution sets of linear maximization problems with a vector criterion index are investigated. The properties of the solution sets are examined in terms of polar cones. A theorem is derived to show the necessary and sufficient conditions for the solution sets. An algorithm to find the solution sets is presented based on the theorem. An example is given to illustrate the theorem and the algorithm.
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© 1977 The Operations Research Society of Japan
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