| An extended master-equation approach applied to aggregation in freeway traffic |
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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 and
Safety, Beijing Jiaotong University, Beijing, 100044, China;State Key Laboratory of Rail Traffic Control and
Safety, Beijing Jiaotong University, Beijing, 100044, China;Institute of Theoretical Physics, College of Applied
Sciences, Beijing University of Technology, Beijing, 100022,
China |
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| 基金项目： | Project supported by the National
Natural Science Foundation of China (Grant Nos 10435080 and
60674011), exoteric project Foundation of State Key Laboratory of
Rail 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 and Huang Yong-Chang |
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| Institution: | Institute of Theoretical Physics, College of Applied
Sciences, Beijing University of Technology, Beijing, 100022,
China; State Key Laboratory of Rail Traffic Control and
Safety, Beijing Jiaotong University, Beijing, 100044, China |
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| Abstract: | 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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| Keywords: | master equation traffic jam nucleation theory |
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