On the Approximation Solution of a Cellular Automaton Traffic Flow Model and Its Relationship with Synchronized Flow

R. Jiang; Y. Yuan; K. Nishinari

Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

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

R. Jiang, Y. Yuan¹, K. Nishinari²

1: University of Science and Technology of China
2: The University of Tokyo

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.

Keywords: traffic flow cellular automaton synchronized flow

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02466-5_8