| 线性二级价格控制问题的Topkis-veinott修正算法 |
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| 引用本文： | 陈诚,LI Fen-Hong,李粉红,齐新社.线性二级价格控制问题的Topkis-veinott修正算法[J].河南科技大学学报(自然科学版),2009,30(2). |
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| 作者姓名： | 陈诚 LI Fen-Hong 李粉红 齐新社 |
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| 作者单位： | 1. 西安通信学院,基础部,陕西,西安,710106
2. 商洛学院,数学系,陕西,商洛,726000 |
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| 摘 要： | 利用K-T条件把线性二级价格控制问题转化为单层数学规划问题,结合Topkis-veinott修正算法,给出了线性二级价格控制问题的Topkis-veinott修正算法;同时,对其收敛性做了深入的研究,给出并证明了线性二级价格控制问题的Topkis-veinott修正算法的收敛性定理.
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| 关 键 词： | 二级价格控制 Topkis-veinott修正算法 收敛性 |
Topkis-veinott Revised Algorithm of Linear Bi-level Price Control Problems |
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| CHEN Cheng,LI Fen-Hong,QI Xin-She.Topkis-veinott Revised Algorithm of Linear Bi-level Price Control Problems[J].Journal of Henan University of Science & Technology:Natural Science,2009,30(2). |
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| Authors: | CHEN Cheng LI Fen-Hong QI Xin-She |
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| Institution: | 1.Basis Department;Xi'an Communication Institute;Xi'an 710106;China;2.Department of Mathematics;Shangluo Institute;Shangluo 726000;China |
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| Abstract: | Linear bi-level price control problems was transformed into single level mathematical programming by Kuhn-Tucker condition,then an Topkis-veinott revised algorithm of linear bi-level price control problems was given according to ideals of Topkis-veinott revised algorithm.At the same time,the convergence of this revised algorithm was studied,and the convergence theorem was given and proved. |
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| Keywords: | Bi-level price control Revised algorithm Convergence |
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