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Statistical physics of traffic flow

Author

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  • Schadschneider, Andreas

Abstract

The modelling of traffic flow using methods and models from physics has a long history. In recent years especially cellular automata models have allowed for large-scale simulations of large traffic networks faster than real time. On the other hand, these systems are interesting for physicists since they allow to observe genuine nonequilibrium effects. Here the current status of cellular automata models for traffic flow is reviewed with special emphasis on nonequilibrium effects (e.g. phase transitions) induced by on- and off-ramps.

Suggested Citation

  • Schadschneider, Andreas, 2000. "Statistical physics of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 285(1), pages 101-120.
    • Handle: RePEc:eee:phsmap:v:285:y:2000:i:1:p:101-120
    DOI: 10.1016/S0378-4371(00)00274-0
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    Citations

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    Cited by:

    1. Dailisan, Damian N. & Lim, May T., 2019. "Vehicular traffic modeling with greedy lane-changing and inordinate waiting," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 715-723.
    2. Shang, Du & Xu, Mengjia & Shang, Pengjian, 2017. "Generalized sample entropy analysis for traffic signals based on similarity measure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 1-7.
    3. Lonnie Turpin & Barron Brown, 2021. "On Reworks in a Serial Process with Flexible Windows of Time," SN Operations Research Forum, Springer, vol. 2(2), pages 1-13, June.
    4. Dailisan, Damian N. & Lim, May T., 2016. "Agent-based modeling of lane discipline in heterogeneous traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 138-147.
    5. Yue, Hao & Hao, Herui & Chen, Xiaoming & Shao, Chunfu, 2007. "Simulation of pedestrian flow on square lattice based on cellular automata model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 567-588.
    6. Zheng, Zuduo, 2014. "Recent developments and research needs in modeling lane changing," Transportation Research Part B: Methodological, Elsevier, vol. 60(C), pages 16-32.
    7. L. G. Afanasyeva, 2020. "Asymptotic Analysis of Queueing Models Based on Synchronization Method," Methodology and Computing in Applied Probability, Springer, vol. 22(4), pages 1417-1438, December.
    8. Zhang, Yali & Shang, Pengjian & Sun, Zhenghui, 2018. "Diversity analysis based on ordered patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 1126-1133.
    9. Chen, Jing & Lin, Lan & Jiang, Rui, 2017. "Assigning on-ramp flows to maximize capacity of highway with two on-ramps and one off-ramp in between," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 347-357.
    10. Larisa Afanasyeva & Ekaterina Bulinskaya, 2013. "Asymptotic Analysis of Traffic Lights Performance Under Heavy Traffic Assumption," Methodology and Computing in Applied Probability, Springer, vol. 15(4), pages 935-950, December.
    11. 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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