摘要
对于可微的多目标数学规划，提出了一种混合型对偶；Wolfe式对偶和Mond－Weir式对偶是它的特例。接着给出了非齐次Farkas引理的一种推广。利用它可得出与弱有效解概念有关的弱对偶成立的充要条件。
For multiobjective mathematical programming, the authors proposed a mixed type dual.Wolfe type dual and Mond-Weir type dual are its special cases, Then, gave a generalization of nonhomogeneous Farkas' lemma, by which a necessary and sufficient condition is obtained for weak duality between the primal and the dual.
出处
《浙江师大学报（自然科学版）》
1997年第4期7-10,共4页
Journal of Zhejiang Normal University(Natoral Sciences)
关键词
多目标规划
弱对偶
择一定理
充要条件
Multiobjective programming
weak duality
alternative theorem
necessary and sufficient condition
