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.