| R~n 空间一类广义 MAXMIN 问题的最优性条件 |
| |
| 引用本文： | 傅诒辉(),李敉安(). R~n 空间一类广义 MAXMIN 问题的最优性条件[J]. 系统科学与数学, 1990, 10(2): 097-107 |
| |
| 作者姓名： | 傅诒辉() 李敉安() |
| |
| 作者单位： | 华中理工大学自控系 武汉(傅诒辉)，华中理工大学自控系 武汉(李敉安) |
| |
| 摘 要： | 本文拟应用凸锥分离定理给出 R~n 空间一类广义maxmin问题的最优性条件.第2节首先给出了有关的预备性定义及引理.第3节研究了3种GMM(D,f)模型,给出了相应的最优性条件.第4节讨论了 GMM(D,f)最优解与 R~(?) 空间广义向量极值问题GVP(D,f)(见定义2.1)的弱有效解的一个关系.
|
THE CONDITIONS FOR OPTIMALITY OF A CLASS OF THE GENERALIZED MAXMIN PROBLEMS R~n |
| |
| FU YI-HUI,LI MI-AN. THE CONDITIONS FOR OPTIMALITY OF A CLASS OF THE GENERALIZED MAXMIN PROBLEMS R~n[J]. Journal of Systems Science and Mathematical Sciences, 1990, 10(2): 097-107 |
| |
| Authors: | FU YI-HUI LI MI-AN |
| |
| Affiliation: | (1)Department of Automatic Control,Hua Zhong University of Science and Technology;(2)Department of Automatic Control,Hua Zhong University of Science and Technology |
| |
| Abstract: | In this paper,a class of generalized maxmin probltms in R~n is considered and,accordingly,necessary and sufficient conditions for optimality of the problem are presented.A relation bet-ween the optimum of the generalized maxmin problem and the weak efficient solution (weakPareto optimum) of the multiobjective program is also discussed. |
| |
| Keywords: | |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
|
点击此处可从《系统科学与数学》下载全文 |
