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| 线性交叉规划的等价形式 | |
| 引用本文： | 马建华,丁梅. 线性交叉规划的等价形式[J]. 运筹学学报, 2006, 10(3): 121-125 |
| 作者姓名： | 马建华 丁梅 |
| 作者单位： | 1. 山东经济学院信息管理学院,山东,济南,250014 2. 山东电力研究院,山东,济南,250002 |
| 摘 要： | 本文利用参数规划的逆问题考虑交叉规划与多目标规划的关系,把交叉规划转变为部分同变量规划组,再把部分同变量规划组转化为一个多目标规划,并说明了交叉规划的均衡解与多目标规划的最优解的关系． |
| 关 键 词： | 运筹学 交叉规划 多目标规划 部分同变量规划组 参数规划 逆问题 |
| 收稿时间： | 2001-05-22 |
| 修稿时间： | 2001-05-22 |
The Equivalence Programming of Linear Interaction Programming |
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| Ma Jianhua,Ding Mei. The Equivalence Programming of Linear Interaction Programming[J]. OR Transactions, 2006, 10(3): 121-125 | |
| Authors: | Ma Jianhua Ding Mei |
| Affiliation: | School of Information Management, Shandong Economic University, Jinan 250014, Shandong, China; Shandong Electric Power Research Institute, Jinan 250002, Shandong, China |
| Abstract: | The relation of interaction programming and multi-objective programming is con- sidered by using the converse problem of parametric programming.First the interaction programming is translated into PGSVP(the programs group with the same variable partly).Furthermore the PGSVP is translated into a multi-objective programming,and the relation between the equilibrium solution of interaction programming and the opti- mum solution of multi-objective programming is given. |
| Keywords: | Operations research interaction programming multi-objective programming PGSVP parametric programming converse problem |
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