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二层多目标规划的最优性条件(英文) 被引量：1

Optimality Conditions of Bilevel Multiobjective Programming
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摘要 本文在集值优化的框架下提出了一个二层多目标规划模型(BLMOP).利用集值映射的相依导数和相依上导数,给出了几个有关(BLMOP)的弱有效解的必要或充分最优性条件. This paper presents a bilevel multiobjective programming model （BLMOP） in the framework of set-valued optimization. Several sufficient or necessary optimality conditions about weak effecient solutions of （BLMOP） are given by using contingent derivative and contingent epiderivative for set-valued maps.
作者 戎卫东 范丽亚
机构地区 内蒙古大学数学系 天津工业大学数学系
出处 《运筹学学报》 CSCD 北大核心 2005年第3期1-7,共7页 Operations Research Transactions
基金 This research was supported by the National Natural Science Foundation of China (10261005)Colleges and Universities' Science and Technology Development Foundation (20040401) of Tianjin
关键词 二层多目标规划 集值优化 相依导数 相依上导数 最优性条件 最优性条件 多目标规划模型 相依导数 集值映射 集值优化 弱有效解 bilevel multiobjective programming, set-valued optimization, contingent derivative, contingen epiderivative, optimality conditions
分类号 O221 [理学—运筹学与控制论] O224 [理学—运筹学与控制论]
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参考文献13

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运筹学学报
2005年 第3期

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