用凸化子讨论不等式约束的多目标优化问题的最优性条件  

Optimality conditions for non-differentiable multi-objective programming in terms of convexificators

作　　者：田学全[1] 徐述[2] 

机构地区：[1]重庆科技学院数理学院,重庆401331 [2]重庆警察学院基础部,重庆401331

出　　处：《山东大学学报（理学版）》2012年第10期75-80,共6页Journal of Shandong University(Natural Science)

基　　金：重庆市教委资助项目(kj121404)

摘　　要：对具有不等式约束的多目标优化(multiobjective programming,MP)问题,利用凸化子的概念,在广义Slater约束规格和广义线性独立约束规格下给出了必要条件,并将研究结果推广到多目标优化的情形。For a non-differentiable multi-objective programming （MP） problem with inequality constraints, the necessa- ry conditions were established under generalized Slater constraint qualification and generalized linear independence con- straint qualification in terms of the concept of convexificators, and the results were extended to the multi-objective opti- mization.

关 键 词：有效解 广义Slater约束规格 广义线性独立约束规格 凸化子 必要条件 

分 类 号：O221.6[理学—运筹学与控制论]