摘要
本文用几何方法讨论目标函数为点式最大值的多目标广义分式规划的对偶理论，在讨论等价规划的几何性质的基础上，引入广义ｋａｒｌｉｎ约束品性，并证明了几个与之等价的条件，然后用分离定理证明了关于弱有效解的对偶理论。
In this paper, we discuss the duality theory of multiobjective fractional programming, in which obective functions are pointwise maximum of finite or infinite ratio functions, via geometric approach. Fistly, we discuss the geometric properties of equivalent programming, define the generalized Karlin's constraint qualification, proof a few equivalent statements; then we proof the wMin-wMax duality theory via seperate theorem.
出处
《云南师范大学学报（自然科学版）》
1996年第4期16-21,共6页
Journal of Yunnan Normal University:Natural Sciences Edition
关键词
广义分式规划
弱有效解
对偶理论
多目标规划
Multiobjective Generalired Fractional Programming Weak Effective Solution Duality Theory
