多面体集下多目标优化问题近似解的若干性质  

Some properties of approximate solutions for multiobjective optimization problems with respect to polyhedral set

作　　者：高英[1] 

机构地区：[1]重庆师范大学数学学院,重庆400047

出　　处：《运筹学学报》2013年第2期48-52,共5页Operations Research Transactions

基　　金：国家自然科学基金(Nos.11126348;11226233;11201511);重庆市自然科学基金(CSTC;2011BA0030);重庆市教委项目(No.KJ110624);重庆市重点项目专项项目(CSTC;2011KLORSE03)

摘　　要：研究了多目标优化问题的近似解.首先证明了多面体集是co-radiant集,并证明了一些性质.随后研究了多面体集下多目标优化问题近似解的特殊性质.In this paper, we consider approximate solutions for multiobjective optimization problems. First, we prove polyhedral set is co-radiant set, and present some properties for this special co-radiant set. And then, we present some properties for approximate solutions with respect to polyhedral set.

关 键 词：多目标优化 多面体集 近似解 

分 类 号：O221.6[理学—运筹学与控制论]