分式优化问题的局部和全局最优性条件  

Optimality Condition for Fractional Optimization Problem

作　　者：田超松 王仙云[1] TIAN Chaosong;WANG Xianyun(College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)

机构地区：[1]吉首大学数学与统计学院

出　　处：《吉首大学学报（自然科学版）》2020年第1期1-5,共5页Journal of Jishou University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(11861033);湖南省教育厅科研项目(17A172);湖南省研究生科研创新基金资助项目(CX2018B702)

摘　　要：借助Dinkelbach方法,将分式优化问题转化为约束优化问题;利用次微分性质,通过引入新的约束规范条件,等价刻画了分式优化问题的局部和全局最优性条件.In this paper, the fractional optimization problem is turned into a constraint optimization problem with Dinkelbach method. With the properties of subdifferentials, some new constraint qualifications are introduced and some sufficient and necessary local/global optimality conditions for the constrained fractional programming problem are obtained.

关 键 词：分式优化问题 约束条件 最优性条件 

分 类 号：O221.2[理学—运筹学与控制论]