Research Article
On the Approximation Solution of a Cellular Automaton Traffic Flow Model and Its Relationship with Synchronized Flow
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@INPROCEEDINGS{10.1007/978-3-642-02466-5_8, author={R. Jiang and Y. Yuan and K. Nishinari}, title={On the Approximation Solution of a Cellular Automaton Traffic Flow Model and Its Relationship with Synchronized Flow}, 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={traffic flow cellular automaton synchronized flow}, doi={10.1007/978-3-642-02466-5_8} }- R. Jiang
Y. Yuan
K. Nishinari
Year: 2012
On the Approximation Solution of a Cellular Automaton Traffic Flow Model and Its Relationship with Synchronized Flow
COMPLEX PART 1
Springer
DOI: 10.1007/978-3-642-02466-5_8
Abstract
This paper studies approximation solution of a cellular automaton model. In the model, the finite size effect is trivial because the congested flow is quite homogeneous. Thus, the approximation solution of a small sized system can be regarded as solution of large system. We have investigated the approximation solution of a small traffic system with two vehicles. The analytical result is in good agreement with simulation. Finally, it is demonstrated that the homogeneous congested flow is closely related to synchronized flow.
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