多目标优化问题有效解的一阶必要条件  

FIRST-ORDER NECESSARY CONDITIONS FOR EFFICIENCY IN NONSMOOTH MULTIOBJECTIVE OPTIMIZATION PROBLEMS

作　　者：张亚卓[1] 

机构地区：[1]哈尔滨师范大学

出　　处：《哈尔滨师范大学自然科学学报》2005年第3期10-14,共5页Natural Science Journal of Harbin Normal University

摘　　要：本文研究一类满足等式、不等式及抽象集约束的多目标优化问题.我们引进一个约束品性条件,在此条件下得到了有效解的必要条件.同时我们也给出使得约束品性成立的充分条件.In this paper, an optimization problem that incorporates equality constraints, inequality constraints and an abstract constraint is considered. We introduce the first-order constraint qualifications which derive necessary conditions for efficiency under the constraint qualification. And we give the sufficient conditions to satisfy the constraint qualifications.

关 键 词：多目标优化问题 必要条件 有效解 一阶 充分条件 不等式 品性 

分 类 号：O224[理学—运筹学与控制论] O157.5[理学—数学]