摘要
通过对多目标规划的传统算法和非线性规划信赖域算法的深入研究,提出了与多目标规划问题有关的两个重要函数,并找到了它们与多目标规划问题解之间的密切关系,从而为多目标规划的算法找到了一个恰当的停止准则,为构造多目标规划的信赖域算法提供了理论基础.
In this paper,the authors present two important functions concerning with multiobjective programming problems and find close relationship between them by a deep study for traditional multiobjective programming algorithms and nonlinear programming trust region algorithms.Those lead to a suitable stopping criterion for multiobjective algorithms and provide a theoritical basis for constructing multiobjective trust region algorithms. [
出处
《沈阳工业学院学报》
1997年第3期51-56,共6页
Journal of Shenyang Institute of Technology
关键词
多目标规划
凸函数
弱有效解
信赖域算法
multiobjective programming,convex function,weak efficient solution.