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A simple stochastic cellular automaton for synchronized traffic flow

Author

Listed:
  • Chmura, Thorsten
  • Herz, Benedikt
  • Knorr, Florian
  • Pitz, Thomas
  • Schreckenberg, Michael

Abstract

We present a very simple stochastic traffic cellular automaton (CA) model to reproduce synchronized traffic. This model aims to be nearly as simple as the well-known Nagel–Schreckenberg model, but to overcome to shortcomings of the latter: The Nagel–Schreckenberg model (NaSch) and its variants achieve collision-free driving by explicitly allowing for unlimited braking capabilities. However, it is rather natural to view the collision-free traffic flow as a consequence of moderate driving instead of infinite braking capabilities. Therefore, our new CA model limits the vehicles’ acceleration and deceleration rates to realistic values. Moreover, our model is able to reproduce several important features of synchronized traffic flow.

Suggested Citation

  • Chmura, Thorsten & Herz, Benedikt & Knorr, Florian & Pitz, Thomas & Schreckenberg, Michael, 2014. "A simple stochastic cellular automaton for synchronized traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 332-337.
    • Handle: RePEc:eee:phsmap:v:405:y:2014:i:c:p:332-337
    DOI: 10.1016/j.physa.2014.03.044
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    References listed on IDEAS

    as
    1. Pottmeier, A. & Barlovic, R. & Knospe, W. & Schadschneider, A. & Schreckenberg, M., 2002. "Localized defects in a cellular automaton model for traffic flow with phase separation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 471-482.
    2. Kerner, Boris S., 2013. "Criticism of generally accepted fundamentals and methodologies of traffic and transportation theory: A brief review," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5261-5282.
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    Cited by:

    1. Fu, Ding-Jun & Zhang, Cun-Bao & Liu, Jun & Li, Tao & Li, Qi-Lang, 2024. "Research of the left-turn vehicles lane-changing behaviors at signalized intersections with contraflow lane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    2. Tianjun Feng & Keyi Liu & Chunyan Liang, 2023. "An Improved Cellular Automata Traffic Flow Model Considering Driving Styles," Sustainability, MDPI, vol. 15(2), pages 1-19, January.
    3. Changtao-Jiang, & Rongjun-Cheng, & Hongxia-Ge,, 2019. "Mean-field flow difference model with consideration of on-ramp and off-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 465-476.
    4. Qi, Xinyue & Ge, Hongxia & Cheng, Rongjun, 2019. "Analysis of a novel lattice hydrodynamic model considering density integral and “backward looking” effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 714-723.
    5. Wang, Qingying & Ge, Hongxia, 2019. "An improved lattice hydrodynamic model accounting for the effect of “backward looking” and flow integral," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 438-446.
    6. Jiang, Changtao & Cheng, Rongjun & Ge, Hongxia, 2018. "Effects of speed deviation and density difference in traffic lattice hydrodynamic model with interruption," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 900-908.

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