| An extended master-equation approach applied to aggregation in freeway traffic |
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| 引用本文： | 李俊卫,林柏梁,黄永畅. An extended master-equation approach applied to aggregation in freeway traffic[J]. 中国物理 B, 2008, 17(2): 473-478 |
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| 作者姓名： | 李俊卫 林柏梁 黄永畅 |
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| 作者单位： | State Key Laboratory of Rail Traffic Control andSafety, Beijing Jiaotong University, Beijing, 100044, China;State Key Laboratory of Rail Traffic Control andSafety, Beijing Jiaotong University, Beijing, 100044, China;Institute of Theoretical Physics, College of AppliedSciences, Beijing University of Technology, Beijing, 100022,China |
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| 基金项目： | Project supported by the NationalNatural Science Foundation of China (Grant Nos 10435080 and60674011), exoteric project Foundation of State Key Laboratory ofRail Traffic Control and Safety (Beijing Jiaotong University). |
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| 摘 要： | We restudy the master-equation approach applied to aggregation in a one-dimensional freeway, where the decay transition probabilities for the jump processes are reconstructed based on a car-following model. According to the reconstructed transition probabilities, the clustering behaviours and the stochastic properties of the master equation in a one-lane freeway traffic model are investigated in detail The numerical results show that the size of the clusters initially below the critical size of the unstable cluster and initially above that of the unstable cluster all enter the same stable state, which also accords with the nucleation theory and is known from the result in earlier work. Moreover, we have obtained more reasonable parameters of the master equation based on some results of cellular automata models.
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| 关 键 词： | 主方程 交通拥塞 核子作用 高速公路 |
| 收稿时间： | 2007-04-18 |
| 修稿时间： | 2007-08-25 |
An extended master-equation approach applied to aggregation in freeway traffic |
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| Li Jun-Wei,Lin Bo-Liang and Huang Yong-Chang. An extended master-equation approach applied to aggregation in freeway traffic[J]. Chinese Physics B, 2008, 17(2): 473-478 |
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| Authors: | Li Jun-Wei Lin Bo-Liang Huang Yong-Chang |
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| Affiliation: | Institute of Theoretical Physics, College of AppliedSciences, Beijing University of Technology, Beijing, 100022,China; State Key Laboratory of Rail Traffic Control andSafety, Beijing Jiaotong University, Beijing, 100044, China |
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| Abstract: | We restudy the master-equation approach applied to aggregation in aone-dimensional freeway, where the decay transition probabilities forthe jump processes are reconstructed based on a car-following model.According to the reconstructed transition probabilities, theclustering behaviours and the stochastic properties of the masterequation in a one-lane freeway traffic model are investigated indetail. The numerical results show that the size of the clustersinitially below the critical size of the unstable cluster andinitially above that of the unstable cluster all enter the samestable state, which also accords with the nucleation theory and isknown from the result in earlier work. Moreover, we have obtainedmore reasonable parameters of the master equation based on someresults of cellular automata models. |
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| Keywords: | master equation traffic jam nucleation theory |
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