集值映射多目标规划的K-T最优性条件  

K-T TYPE OPTIMALITY CONDITIONS OF MULTIOBJECTIVE PROGRAMMING WITH SET-VALUED MAPS

作　　者：凌晨[1] 

机构地区：[1]浙江财经学院基础部,杭州310012

出　　处：《系统科学与数学》2000年第2期196-202,共7页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金;浙江省教委资助

摘　　要：讨论集值映射多目标规划（ＶＰ）的最优性条件问题．首先，在没有锥凹的假设下， 利用集值映射的相依导数，得到了（ＶＰ）的锥－超有效解要满足的必要条件和充分条件． 其次，在锥凹假设和比推广了的 Ｓｌａｔｅｒ规格更弱的条件下，给出了（ＶＰ）关于锥－超有效 解的Ｋ－Ｔ型最优性必要条件和充分条件．in this paper , we discuss the optimality condition problems of multiobjective programming (VP) with set-valued maps. First, without cone concave assumption, some necessary and sufficient optimality conditions for cone-super efficient solution of (VP) are given by using the contingent derivative of the set-valued maps. Secondly, under cone concave assumption and condition which is weaker than the generalized Slater constraint qualification, we give K-T type necessary and sufficient optimality conditions for cone-super efficient solution of (VP).

关 键 词：集值映射 多目标规划 K-T最优化性条件 

分 类 号：O221[理学—运筹学与控制论]