摘要
利用DC规划的Frenchel-Rockafellar对偶规划的思想,提出了值型线性双层规划的共轭值型双层规划对偶.证明了原规划和对偶规划之间的强对偶性定理,并给出其相关的最优解条件.
The conjugate dual for the value-type bilevel linear programming was formulated based on the Frenchel-Rockafellar duality for DC programming. Strong duality between primal and dual problems was established, and some theorems on the optimal properties of the primal and dual problems were given.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2007年第10期13-17,共5页
Journal of Shandong University(Natural Science)
基金
中国博士后科学基金资助项目(20060390102)
关键词
值型线性双层规划
共轭函数
DC规划
最优性条件
强对偶性
value-type bilevel linear programming
conjugate function
DC programming
optimal property
strong duality
