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运筹学学报 ›› 2011, Vol. ›› Issue (3): 1-8.

• 论文 •    下一篇

一类多目标优化问题的有效性

赵克全1,杨新民2   

  1. 1. 重庆师范大学
    2. 重庆师范大学数学科学学院
  • 收稿日期:2011-04-13 出版日期:2011-09-15 发布日期:2011-09-29
  • 通讯作者: 赵克全 E-mail:kequanz@163.com
  • 基金资助:

    多目标优化理论与方法;变分不等式解集性质的刻画

Efficiency for a Class of Multiobjective Optimization Problems

Ke-Quan Zhao 2   

  • Received:2011-04-13 Online:2011-09-15 Published:2011-09-29
  • Contact: Ke-Quan Zhao E-mail:kequanz@163.com

PDF

257

被引次数

3

摘要： 本文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和真有效解的等价性。本文的主要结论是对最近一些文献中相应结果的改进与推广。

Abstract: In this paper, a class of multiobjective optimization problems in which involved inequality constraints is considered. Some necessary and sufficient conditions are established for an efficient solution. Moreover, the equivalence is established between efficiency and properly efficiency by linear scalarization method under some suitable conditions. Our results improves naturally and extends some previously known results.