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广义I型连通级小极大分式问题的对偶
引用本文:贾继红,李泽民.广义I型连通级小极大分式问题的对偶[J].运筹学学报,2011,15(2):1-10.
作者姓名:贾继红  李泽民
作者单位:1. 东莞理工学院数学教研室,广东东莞,523808
2. 重庆大学数理学院,重庆,400045
基金项目:Supported by the National Natural Science Foundation of China(No.11071087)
摘    要:在I型弧连通和广义I型弧连通假设下,建立了极大极小分式优化问题的对偶模型,并提出了弱对偶定理、强对偶定理和严格逆对偶定理.

关 键 词:I型弧连通  广义I型弧连通  对偶  

Duality for Minmax Fractional Problems Involving Generalized Arcwise Connected Type I
JIA Jihong,LI Zemin.Duality for Minmax Fractional Problems Involving Generalized Arcwise Connected Type I[J].OR Transactions,2011,15(2):1-10.
Authors:JIA Jihong  LI Zemin
Institution:JIA Jihong LI Zemin 1.Department of Mathmatics,Dongguan University of Technology,Guangdong Dongguan 523808,China 2.School of Mathmatics & Physics,Chongqing University,Chongqing,400045,China
Abstract:This paper deals with a minmax fractional problems in terms of the right derivative of the function with respect to an arc. Under arcwise connected type I and
generalized arcwise connected type I assumptions, a dual model is proposed for the minmax fractional problems. Furthermore, weak duality theorem, strong duality theorem and strict converse duality theorem are established.
Keywords:arcwise connected type Ⅰ  generalized arcwise connected type Ⅰ  duality
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