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| 有限多类别交通网络的扩展Wardrop均衡 | |
| 引用本文： | 王利,郭运宏,杨青骥.有限多类别交通网络的扩展Wardrop均衡[J].数学的实践与认识,2012,42(12):175-181. |
| 作者姓名： | 王利 郭运宏 杨青骥 |
| 作者单位： | 1. 上海第二工业大学理学院,上海,201209 2. 郑州铁路职业技术学院电气工程系,河南郑州,450052 3. 上海金融学院应用数学系,上海,201209 |
| 摘 要： | 研究有容量约束的交通网络中有限多类别用户的扩展Wardrop均衡.证明扩展Wardrop均衡定义的4种等价形式;并利用凸集分离定理得到在一定条件下.定义中A(v)的存在性.A(v)可以看作是一种收费,因而得到了有限多类别的交通网络中收费的存在性. |
| 关 键 词： | 有限多类别 容量约束 扩展Wardrop均衡 收费 |
Extended Wardrop Equilibrium in Finite Multiclass Traffic Network |
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| WANG Li , GUO Yun-hong , YANG Qing-ji.Extended Wardrop Equilibrium in Finite Multiclass Traffic Network[J].Mathematics in Practice and Theory,2012,42(12):175-181. | |
| Authors: | WANG Li GUO Yun-hong YANG Qing-ji |
| Institution: | 1.School of Science,Shanghai Second Polytechnic University,Shanghai 201209,China) (2.Department of Electrical Engineering,Zhengzhou Railway Vocational and Technical College,Zhengzhou 450052,China) (3.Department of Applied Mathematics,Shanghai Finance University,Shanghai 201209,China) |
| Abstract: | Extended Wardrop equilibrium of finite multiclass customers in traffic network with capacity constraints is considered.Four Equivalent forms of definition of extended Wardrop equilibrium are proved.By using convex set separation theorem,the existence of A(v)in the definition holds under some conditions.A(v)can be seen as a kind of tolls,so this paper arrive at a conclusion that there exist tolls in finite multiclass traffic network. |
| Keywords: | finite multiclass capacity constraint extended Wardrop equilibrium toll |
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