| 值型线性双层规划的共轭对偶及最优性条件 |
| |
| 引用本文： | 宿洁. 值型线性双层规划的共轭对偶及最优性条件[J]. 山东大学学报(理学版), 2007, 42(10): 13-17 |
| |
| 作者姓名： | 宿洁 |
| |
| 作者单位： | 中国人民大学,商学院,北京,100872;山东大学,数学与系统科学学院,山东,济南,250100 |
| |
| 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.
|
| 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 |
| 文章编号： | 1671-9352（2007）10-0013-05 |
| 修稿时间： | 2007-05-21 |
Conjugate duality and optimal properties of value-type bilevel linear programming problem |
| |
| SU Jie. Conjugate duality and optimal properties of value-type bilevel linear programming problem[J]. Journal of Shandong University, 2007, 42(10): 13-17 |
| |
| Authors: | SU Jie |
| |
| Affiliation: | 1. School of Business, Renmin University of China, Beijing 100862, China; 2. School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China |
| |
| Abstract: | 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. |
| |
| Keywords: | value-type bilevel linear programming conjugate function DC programming optimal property strong duality |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《山东大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《山东大学学报(理学版)》下载全文 |
