| 有流量附加约束的动态交通网络平衡问题 |
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| 引用本文： | 吴晓层,范炳全. 有流量附加约束的动态交通网络平衡问题[J]. 工程数学学报, 2006, 23(4): 607-613 |
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| 作者姓名： | 吴晓层 范炳全 |
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| 作者单位： | 广西大学数学与信息科学学院,南宁,530004;上海理工大学管理学院,上海,200093;上海理工大学管理学院,上海,200093 |
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| 摘 要： | 在抽象空间上研究了有流量附加约束的动态交通网络的平衡问题,将这种附加约束等价的当作路径的新增阻抗,并给出了基于这个条件下的Wardrop用户平衡的变分不等式表达。这事实上是提供了计算这种平衡配流的另一种方法。此外,所研究的问题更接近现实的有路径流量限制的情形,还得出了相应的动态平衡性质。
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| 关 键 词： | 动态交通网络平衡 Wardrop平衡 变分不等式 流量附加约束 |
| 文章编号： | 1005-3085（2006）04-0607-07 |
| 收稿时间： | 2004-05-24 |
| 修稿时间： | 2004-05-24 |
Equilibrium Problems for Dynamic Traffic Network with Additional Path Flow Constraints |
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| WU Xiao-ceng,FAN Bin-quan. Equilibrium Problems for Dynamic Traffic Network with Additional Path Flow Constraints[J]. Chinese Journal of Engineering Mathematics, 2006, 23(4): 607-613 |
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| Authors: | WU Xiao-ceng FAN Bin-quan |
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| Affiliation: | 1. College of Mathematics and Information Science, Guangxi University, Nanning 540003; 2. College of Management, University of Shanghai for Science and Technology, Shanghai 200093 |
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| Abstract: | We considered the problem of dynamic traffic network equilibrium with additional path flow constraints, which the path flows are defined in a abstract space. The additional constraints are treated as new adding road costs and variational inequalities expression for the Wardrop user equilibrium are given. Basing upon the results, we can develop a new equilibrium algorithm for the traffic flows. Moreover, the capacity constraints, which is more closed to the reality, are also considered. |
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| Keywords: | dynamic transportation network equilibrium Wardrop equilibrium variational inequality flow additional constraints |
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