一类多目标优化问题的有效性(英文)  

Efficiency for a Class of Multiobjective Optimization Problems

作　　者：赵克全[1,2] 杨新民[2] 

机构地区：[1]内蒙古大学数学科学学院,内蒙古010021 [2]重庆师范大学数学学院,重庆400047

出　　处：《运筹学学报》2011年第3期1-8,共8页Operations Research Transactions

基　　金：the National Natural Science Foundation of China(10831009);the Natural Science Foundation Project of Chongqing(2011BA0030);the Special Fund of Chongqing Key Laboratory; the Education Committee Research Foundation of Chongqing(KJ110625)

摘　　要：研究了一类带不等式约束的多目标优化问题,给出了该类问题的有效解的一些充分必要条件,在适当条件下利用线性标量化方法证明了其有效解与真有效解的等价性.主要结论是对最近一些文献中相应结果的改进与推广.In this paper, a class of multiobjective optimization problems in which involved inequality constraints is considered. The necessary and sufficient conditions are established for an efficient solution. Moreover, the equivalence is proved between efficiency and properly efficiency by linear scalaxization method under some suitable conditions. Our results improve and extend some previously known results .

关 键 词：多目标优化 η-伪线性 有效解 真有效解 

分 类 号：O223[理学—运筹学与控制论]