摘要
本文讨论了一类多目标分式规划问题,其中所包含的函数是局部Lipschitz的和Clarke次可微的.首先,在G-(F,ρ)凸的条件下,证明了择一定理.然后,证明了该多目标分式规划问题在Geoffrion意义下的真有效解的充分条件和必要条件.
In this paper, a class of multiobjective fractional programming is studied, where the involved functions are local Lipschitz and Clarke subdifferentiable. First, under G-(F, ρ) convexity, the alternative theorem is proved. Then, sufficient condition and necessary condition for a properly efficient solution in the sense of Geoffrion are proved.
出处
《运筹学学报》
CSCD
北大核心
2005年第2期40-48,共9页
Operations Research Transactions
基金
Project supported by the National Natural Science Foundation of China, No. 19871009.
