一类多目标规划有效解的充要条件  

The necessary and Sufficient conditions of the efficient solution for a kind of multiobjective programming

作　　者：皮巧丽[1] 廖伟[1] 龙莆均[1] 

机构地区：[1]重庆师范大学数学学院,重庆400047

出　　处：《贵州师范大学学报（自然科学版）》2012年第4期79-81,91,共4页Journal of Guizhou Normal University：Natural Sciences

基　　金：重庆市科委重点实验室专项基金(项目编号:CSTC;2011KLORSE02);重庆市教委科技项目(项目标号:KJ110625)

摘　　要：给出了广义E-凸多目标规划的KKT必要条件的充分性以及鞍点充分条件的必要性.在广义E-凸性假设下,建立了有效解的两个充要条件.研究结果是对现有研究结果的改进与推广.In this paper, give the sufficiency of the KKT necessary condition and the necessity of the saddle-point sufficient condition in the generalized E-convex muhiobjective programming. Under gener-alized E-convexity assumptions, the two necessary and sufficient conditions for the efficient solution are established. The research effects of this paper are the improvement and generalization of the present re-search effects.

关 键 词：多目标规划 广义E-凸性 有效解 

分 类 号：O221.2[理学—运筹学与控制论] O172.2[理学—数学]