OPTIMALITY CONDITIONS AND DUALITY THEOREMS IN NONCONICAL MULTIOBJECTIVE PROGRAMMING

OPTIMALITY CONDITIONS AND DUALITY THEOREMS IN NONCONICAL MULTIOBJECTIVE PROGRAMMING

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摘要ＯＰＴＩＭＡＬＩＴＹＣＯＮＤＩＴＩＯＮＳＡＮＤＤＵＡＬＩＴＹＴＨＥＯＲＥＭＳＩＮＮＯＮＣＯＮＩＣＡＬＭＵＬＴＩＯＢＪＥＣＴＩＶＥＰＲＯＧＲＡＭＭＩＮＧＬＩＹｕａｎｘｉ（ＤｅｐａｒｔｍｅｎｔｏｆＳｔａｔｉｓｔｉｃｓａｎｄＯＲ，ＦｕｄａｎＵｎｉｖｅｒｓｉ... This paper is concerned with the nonconical multiobjective programming proly fern. By virtue of the derivate of a binary relation,the sufficient and necessary optimality conditions are presented, and the duality theorems (weak and strong) are proved.

作者 LI Yuanxi(Department of Statistics and OR, Fudan University, Shanghai 200433, China)

出处《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1995年第2期116-121,共6页

关键词 MULTIOBJECTIVE PROGRAMMING nonconical order OPTIMALITY DUALITY efficient SOLUTION Multiobjective programming, nonconical order, optimality, duality, efficient Solution

分类号 O221 [理学—运筹学与控制论]

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Systems Science and Mathematical Sciences

1995年第2期

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OPTIMALITY CONDITIONS AND DUALITY THEOREMS IN NONCONICAL MULTIOBJECTIVE PROGRAMMING

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