值型线性双层规划的共轭对偶及最优性条件  

Conjugate duality and optimal properties of value-type bilevel linear programming problem

作　　者：宿洁[1] 

机构地区：[1]中国人民大学商学院

出　　处：《山东大学学报（理学版）》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)

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.

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 

分 类 号：O22[理学—运筹学与控制论]