J4 ›› 2011, Vol. 49 ›› Issue (05): 879-881.

• 数学 • 上一篇    下一篇

一类多目标优化弱有效解的判定方法

王彩玲, 吕显瑞   

  1. 吉林大学 数学学院, 长春 130012
  • 收稿日期:2011-03-11 出版日期:2011-09-26 发布日期:2011-09-27
  • 通讯作者: 王彩玲 E-mail:wangcljl@163.com

Judge Method for Solving Weekly Efficient Solutionof Multiobjective Optimization

WANG Cailing, LV Xianrui   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2011-03-11 Online:2011-09-26 Published:2011-09-27
  • Contact: WANG Cailing E-mail:wangcljl@163.com

摘要:

给出一种目标函数是线性函数、 约束函数是非线性函数的一类特殊多目标优化问题弱有效子集的简易判定方法, P个目标的弱有效解可以利用某两个单目标函数组成的双目标优化问题进行判定, 并给出了此类多目标优化问题的判别准则.

关键词: 多目标优化; 弱有效解; 判定方法

Abstract:

The authors presented a new judge method for solving the subset of the weakly efficient solution of a class of special multiobjective optimization problems (NVP), of which objective function was linear function and restricted function was nonlinear function. Simple judging method was given for the subset of the weakly efficient solution of the problem (NVP). Weakly efficient solution of Pobject could be determined by double objective  optimization problem for the problem (NVP).

Key words: multiobjective optimization, weakly efficient solution, judge method

中图分类号: 

  • O221