多目标规划的整体解

李仲飞;汪寿阳

系统科学与数学 ›› 1995, Vol. 15 ›› Issue (1) : 30-032.

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系统科学与数学 ›› 1995, Vol. 15 ›› Issue (1) : 30-032. DOI: 10.12341/jssms09137
论文

多目标规划的整体解

    李仲飞,汪寿阳
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GLOBAL EFFICIENCY IN MULTIOBJECTIVE OPTIMIZATION

    LI ZHONG-FEI(1);WANG SHOU-YANG(2)
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摘要

本文在较弱的广义凸性假定下讨论多目标规划的几种整体有效性.给出的定理统一了目前已有的一些关于多目标规划局部解为整体解的充分条件.

Abstract

In this short technical note, we present five sufficient conditions to guarantee a local efficient (resp., weakly efficient, properly efficient in the sense of Benson, properly efficient in the sense of Borwein, properly efficient in the sense of Henig and properly efficient in the sense of Hartley) solution of a general multiobjective optimization problem to be a corresponding solution of the problem. These theorems generalize and unify several results existing in the field.

关键词

多目标规划 / 整体有效解 / 广义∧-凸性

Key words

Multiobjective optimization / global efficiency / generalized Aconvexity.

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李仲飞 , 汪寿阳. 多目标规划的整体解. 系统科学与数学, 1995, 15(1): 30-032. https://doi.org/10.12341/jssms09137
LI ZHONG-FEI() , WANG SHOU-YANG(). GLOBAL EFFICIENCY IN MULTIOBJECTIVE OPTIMIZATION. Journal of Systems Science and Mathematical Sciences, 1995, 15(1): 30-032 https://doi.org/10.12341/jssms09137
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