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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© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
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Jiang, R., Yuan, Y.M., Nishinari, K. (2009). On the Approximation Solution of a Cellular Automaton Traffic Flow Model and Its Relationship with Synchronized Flow. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02466-5_8
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DOI: https://doi.org/10.1007/978-3-642-02466-5_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02465-8
Online ISBN: 978-3-642-02466-5
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