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多目标数学规划有效集的参数表示(英文)

On parametric representations of the efficient set of multiple objective mathematical programming problems
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摘要 研究了p-维多目标数学规划问题有效集的参数表示.通过研究相关的单目标优化问题和相关的(p-1)-维多目标优化问题,提出了几个新的关于p-维多目标规划有效集的表示定理. In this paper we present some new results that characterize the efficient solutions of a p-dimensional multiple objective mathematical programming (MOMP). These characterizations are in terms of the optimal solutions of appropriate scalar optimization problems or in terms of efficient solutions of appropriate (p - 1)-dimensional parametric MOMP.
作者 孙尔江
出处 《运筹学学报》 CSCD 北大核心 2015年第3期42-47,共6页 Operations Research Transactions
关键词 多目标数学规划 有效集 弱有效集 参数表示 multiple objective mathematical programming, efficient set, weakly effi-cient set, parametric representations
作者简介 通信作者E-mail:sunej99@yahoo.com
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参考文献5

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