向量优化问题锥有效解的逼近(英文)  

Approximation of the Cone Efficient Solution for Vector Optimization Problem

作　　者：宋军[1] 龚循华[1] 

机构地区：[1]南昌大学数学系,南昌330047

出　　处：《运筹学学报》2007年第2期51-58,106,共9页Operations Research Transactions

基　　金：This research is partially supported by the National Natural Science Foundation of China(10561007);the Natural Science Foundation of Jinxing Province,China.

摘　　要：本文引进了一种新的锥的扩张方式,并对新的扩张锥和原来的锥的关系作了讨论,借助这种新的概念,在无限维空间中给出了向量优化问题的锥有效解的近似方法．In this paper, a new style of dilating ordering cone is introduced, and the relationship between this new dilating cone and the original cone is investigated. With the help with the new concept, this paper deals with the method of approximation of cone efficient solution for vector optimization problem in infinite dimension space.

关 键 词：运筹学 向量优化 扩张锥 有效解 逼近 

分 类 号：O224[理学—运筹学与控制论]