| 两种线性二层规划最优解定义的探讨 |
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| 引用本文： | 张涛,陈忠.两种线性二层规划最优解定义的探讨[J].安徽建筑工业学院学报,2009,17(6):101-104. |
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| 作者姓名： | 张涛 陈忠 |
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| 作者单位： | 长江大学信息与数学学院,荆州,434023 |
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| 基金项目： | 国家自然科学基金，教育部重点实验室开放基金，湖北省教育厅重点项目 |
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| 摘 要： | 为了更好地解决上层带有任意线性约束形式的线性二层规划问题,Chenggen Shi提出了有关线性二层规划解的新定义.本文对Chenggen Shi提出的线性二层规划解的定义与原线性二层规划解的定义之间的关系进行了分析.给出的一个算例表明,对同一个线性二层规划问题,两种最优解定义有可能得到不同的结果,进而提出了两种线性二层规划最优解定义的等价性条件.
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| 关 键 词： | 线性二层规划 最优解 等价性 |
A discussion on the two kinds of definitions of linear bilevel programming solution |
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| ZHANG Tao,CHEN Zhong.A discussion on the two kinds of definitions of linear bilevel programming solution[J].Journal of Anhui Institute of Architecture(Natural Science),2009,17(6):101-104. |
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| Authors: | ZHANG Tao CHEN Zhong |
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| Affiliation: | ZHANG Tao,CHEN Zhong(School of information , mathematics,Yangtze University,Jingzhou Hubei 434023) |
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| Abstract: | In order to well deal with a linear bilevel programming problem when the upper-level's constraint functions are of arbitrary linear form,Chenggen Shi gave a new definition of linear bilevel programming solution.This paper analyses the relationship between the new definition given by Chenggen Shi and the original definition of linear bilevel programming solution.A designed linear bilevel programming problem shows that under the two different definitions of linear bilevel programming solution,the same linear ... |
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| Keywords: | linear bilevel programming optimal solution equivalent |
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