摘要
在工程技术中,最优化问题的解通常都是用数值计算方法求得,因此,解的稳定性研究就显得非常重要。本文讨论多目标凸参数规划的真有效解稳定性。我们将摄动变量与解集的对应关系视为集值映射,并用集值映射的连续性去定义解集的稳定性,给出了真有效解集稳定性的充分条件。
The solution of optimization on engineering technique is usually obtained through numerical Calculation. Therefore, the study of the solution stability is highly important. In this paper, the stability of proper efficient solution of multi-objective convex parametric programming is discussed. We take the correspondence relation between perturbation variable and solution set to be set value mapping. The concept of continuity of set value mapping is used to define the stability of the solution set. Some sufficient conditions for stability of proper efficient solution are given.
出处
《天津理工学院学报》
1992年第1期29-35,共7页
Journal of Tianjin Institute of Technology
关键词
多目标规划
真有效解
集值映射
稳定性
Multi-objective Programming
Proper efficient solution
Set value mapping
