Research Article
The Probability Distribution of Inter-car Spacings
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@INPROCEEDINGS{10.1007/978-3-642-02466-5_52, author={Jin Xian and Dong Han}, title={The Probability Distribution of Inter-car Spacings}, proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1}, proceedings_a={COMPLEX PART 1}, year={2012}, month={5}, keywords={FI model Power Law Exponential distribution Complex network Spacings distribution}, doi={10.1007/978-3-642-02466-5_52} }- Jin Xian
Dong Han
Year: 2012
The Probability Distribution of Inter-car Spacings
COMPLEX PART 1
Springer
DOI: 10.1007/978-3-642-02466-5_52
Abstract
In this paper, the celluar automation model with Fukui-Ishibashi-type acceleration rule is used to study the inter-car spacing distribution for traffic flow. The method used in complex network analysis is applied to study the spacings distribution. By theoretical analysis, we obtain the result that the distribution of inter-car spacings follows power law when vehicle density is low and spacing is not large, while, when the vehicle density is high or the spacing is large, the distribution can be described by exponential distribution. Moreover, the numerical simulations support the theoretical result.
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