| 多目标凸参数规划的真有效解稳定性 |
| |
| 引用本文： | 万良乔. 多目标凸参数规划的真有效解稳定性[J]. 天津理工大学学报, 1992, 0(1) |
| |
| 作者姓名： | 万良乔 |
| |
| 作者单位： | 天津理工学院管理工程系 300191 |
| |
| 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。
|
| 关 键 词： | 多目标规划 真有效解 集值映射 |
The Stability of Proper Efficient Solution of Multi-objective Convex Parametric Programming |
| |
| Wan Liangqiao. The Stability of Proper Efficient Solution of Multi-objective Convex Parametric Programming[J]. Journal of Tianjin University of Technology, 1992, 0(1) |
| |
| Authors: | Wan Liangqiao |
| |
| Affiliation: | Wan Liangqiao |
| |
| Abstract: | 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. |
| |
| Keywords: | Multi-objective Programming Proper efficient solution Set value mapping |
| 本文献已被 CNKI 等数据库收录！ |
|
