经济数学2016，Vol.33Issue(1)：106-110,5.
下层独立的一主多从双层随机线性规划问题研究
Stochastic Linear Bilevel Multi-Follower Programming with Independent Followers
纪斌 1童小娇 2耿玉苹3
作者信息
- 1. 湘潭大学 数学与计算科学学院，湖南 湘潭 411105
- 2. 湖南第一师范学院，湖南 长沙 410205
- 3. 湖南师范大学 数学与计算机科学学院，湖南 长沙 410081
- 折叠
摘要
Abstract
Herminia I.Calvete studied the linear bilevel multi-follower programming problem,and proved that this kind of problem can be converted into a linear bilevel programming problem with one leader and one follower equivalently.And based on this result,this paper considered a special stochastic linear bileval programming problem with one leader and multiple fol-lowers.Under some special distribution cases of random variable,the addressed stochastic bilevel programming can be conver-ted into a determinate bilevel programming problem with one leader and one follower.This paper is helpful in solving the bilevel multi-follower programming problem and this type of problem in the practical application.关键词
双层规划/一主多从/随机优化Key words
bilevel programming/multi-follower/stochastic optimization分类
数理科学引用本文复制引用
纪斌,童小娇,耿玉苹..下层独立的一主多从双层随机线性规划问题研究[J].经济数学,2016,33(1):106-110,5.
