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Cellular automata for traffic simulations

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  • Wolf, Dietrich E.

Abstract

Traffic phenomena such as the transition from free to congested flow, lane inversion and platoon formation can be accurately reproduced using cellular automata. Being computationally extremely efficient, they simulate large traffic systems many times faster than real time so that predictions become feasible. A riview of recent results is given. The presence of metastable states at the jamming transition is discussed in detail. A simple new cellular automation is introduced, in which the interaction between cars is Galilei-invariant. It is shown that this type of interaction accounts for metastable states in a very natural way.

Suggested Citation

  • Wolf, Dietrich E., 1999. "Cellular automata for traffic simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 263(1), pages 438-451.
  • Handle: RePEc:eee:phsmap:v:263:y:1999:i:1:p:438-451
    DOI: 10.1016/S0378-4371(98)00536-6
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    Cited by:

    1. Vispoel, Milan & Daly, Aisling J. & Baetens, Jan M., 2024. "Damage spreading and the Lyapunov spectrum of cellular automata and Boolean networks," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    2. Cui, Nan & Chen, Bokui & Zhang, Kai & Zhang, Yi & Liu, Xiaotong & Zhou, Jun, 2019. "Effects of route guidance strategies on traffic emissions in intelligent transportation systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 32-44.
    3. Simão, Ricardo, 2021. "Evolution of behaviors in heterogeneous traffic models as driven annealed disorders and its relation to the n-vector model," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    4. Wang, Jie & Cai, Zhiyu & Chen, Yaohui & Yang, Peng & Chen, Bokui, 2023. "An advanced control strategy for connected autonomous vehicles based on Micro simulation models at multiple intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    5. Kai Nagel & Peter Wagner & Richard Woesler, 2003. "Still Flowing: Approaches to Traffic Flow and Traffic Jam Modeling," Operations Research, INFORMS, vol. 51(5), pages 681-710, October.
    6. Jian, Li & Lizhong, Yang & Daoliang, Zhao, 2005. "Simulation of bi-direction pedestrian movement in corridor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 619-628.

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