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Published in:
2009 | OriginalPaper | Chapter
On the Approximation Solution of a Cellular Automaton Traffic Flow Model and Its Relationship with Synchronized Flow
Authors : R. Jiang, Y. M. Yuan, K. Nishinari
Published in: Complex Sciences
Publisher: Springer Berlin Heidelberg
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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.