2ND-ORDER NECESSARY AND SUFFICIENT CONDITIONS IN MULTIOBJECTIVE PROGRAMMING

被引:39
|
作者
WANG, SY [1 ]
机构
[1] ACAD SINICA,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA
关键词
MULTIOBJECTIVE PROGRAMMING; EFFICIENT SOLUTIONS; CONSTRAINT QUALIFICATIONS; 2ND-ORDER NECESSARY AND SUFFICIENT CONDITIONS;
D O I
10.1080/01630569108816425
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we study second-order optimality conditions for the multi-objective programming problems with both inequality constraints and equality constraints. Two weak second-order constraint qualifications are introduced, and based on them we derive several second-order necessary conditions for a local weakly efficient solution. Two second-order sufficient conditions are also presented.
引用
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页码:237 / 252
页数:16
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