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多目标分式规划逆对偶研究 被引量：4

Converse Duality for Multiobjective Fractional Programming
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摘要 考虑了一类可微多目标分式规划问题.首先,建立原问题的两个对偶模型.随后,在相关文献的弱对偶定理基础上,利用Fritz John型必要条件,证明了相应的逆对偶定理. We consider a class of differentiable multiobjective fractional programming prob- lems. First, we formulate two dual problems corresponding to primal problem. And then, we discuss converse duality theorems for two kinds of dual models by using Fritz-John type necessary condition, under the results about weak duality theorems given in other paper.
作者 卢厚佐 高英
机构地区 重庆师范大学数学学院
出处 《数学的实践与认识》 CSCD 北大核心 2014年第23期172-178,共7页 Mathematics in Practice and Theory
基金 国家自然科学基金(11201511) 重庆市重点实验室专项项目(CSTC 2011KLORSE03)
关键词 多目标分式规划 广义凸函数 逆对偶定理 fractional multiobjective programming generalized convexity functions con-verse duality theorem
分类号 O221.6 [理学—运筹学与控制论]
  • 相关文献

参考文献12

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共引文献3

同被引文献33

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引证文献4

二级引证文献8

数学的实践与认识
2014年 第23期

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