运筹与管理2012，Vol.21Issue(1)：34-39,6.
一类广义半无限规划问题的一阶最优性条件
First-order Optimality Condition on a Kind of Generalized Semi-infinite Programming Problem
摘要
Abstract
In this paper, a kind of generalized semi-infinite min-max programming problem is transformed into a common semi-infinite min-max programming problem by utilizing a exact augmented Lagrange function. The relations of optimal solutions and optimal values between generalized semi-infinite min-max programming problem and common semi-infinite min-max programming problem are discussed. According to these relations and the first-order optimality condition of common semi-infinite min-max programming problem, the first-order optimality condition of this kind of generalized senti-infinite min-max programming problem is presented.关键词
运筹学/广义半无限规划/精确增广Lagrange函数/一阶最优性条件Key words
operational research/ generalized semi-infinite programming/ exact augmented Lagrange function/ first-order optimality condition分类
数理科学引用本文复制引用
李梅霞..一类广义半无限规划问题的一阶最优性条件[J].运筹与管理,2012,21(1):34-39,6.基金项目
国家自然科学基金资助项目(10171055 （）
10171118) （）
山东省自然科学基金资助项目(ZR2009AL019) （ZR2009AL019）
山东省高校科研发展计划资助项目(J09LA53) （J09LA53）
