摘要
本文讨论多目标弧式凸规划的对偶理论.我们建立了多目标孤式凸规划的三个对偶模型,并证明了关于Pareto有效解的弱对偶、直接对偶和逆对偶定理.
We discuss the duality theory of multiobjective arcwise-convex programming.Three dual models of multiobjective arcwise-convex programming are established and the theorems of weak duality,direct duality and converse duality for Pareto efficient solutions are proved.
出处
《内蒙古大学学报(自然科学版)》
CAS
CSCD
1992年第1期15-21,共7页
Journal of Inner Mongolia University:Natural Science Edition
关键词
多目标规划
对偶性
Pareto有效解
duality
multiobjective programming
Pareto efficient solution
arcwise quasi-convexity
arcwise pseudo-convexity