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A cellular automaton model based on empirical observations of a driver’s oscillation behavior reproducing the findings from Kerner’s three-phase traffic theory

Author

Listed:
  • Yang, Haifei
  • Lu, Jian
  • Hu, Xiaojian
  • Jiang, Jun

Abstract

In this paper, we propose a new cellular automaton model based on the well known three-phase traffic theory. The model takes into account the mechanism of a driver’s oscillation behavior obtained from engineering experiments in real traffic conditions. This mechanism shows the inner competition between speed adaptation and distance adjustment effects. The speed adaptation effect leads to synchronized flow, whereas a pinch region emerges, associated with the spontaneous occurrence of wide moving jams, due to distance over-adjustment. Numerical simulations are carried out both with periodic and with open boundary conditions in order to investigate the spatiotemporal features of traffic flow. The results indicate that our model is able to reproduce the three distinct traffic phases and exhibit the four congested patterns upstream of an isolated on-ramp, which is in good consistency with the results predicted from the three-phase theory.

Suggested Citation

  • Yang, Haifei & Lu, Jian & Hu, Xiaojian & Jiang, Jun, 2013. "A cellular automaton model based on empirical observations of a driver’s oscillation behavior reproducing the findings from Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 4009-4018.
  • Handle: RePEc:eee:phsmap:v:392:y:2013:i:18:p:4009-4018
    DOI: 10.1016/j.physa.2013.05.004
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    References listed on IDEAS

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    1. Daganzo, Carlos F., 2002. "A behavioral theory of multi-lane traffic flow. Part I: Long homogeneous freeway sections," Transportation Research Part B: Methodological, Elsevier, vol. 36(2), pages 131-158, February.
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    6. Hu, Xiaojian & Wang, Wei & Yang, Haifei, 2012. "Mixed traffic flow model considering illegal lane-changing behavior: Simulations in the framework of Kerner’s three-phase theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5102-5111.
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    Cited by:

    1. Sun, Lu & Jafaripournimchahi, Ammar & Hu, Wusheng, 2020. "A forward-looking anticipative viscous high-order continuum model considering two leading vehicles for traffic flow through wireless V2X communication in autonomous and connected vehicle environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    2. Wu, Jinchao & Chen, Bokui & Zhang, Kai & Zhou, Jun & Miao, Lixin, 2018. "Ant pheromone route guidance strategy in intelligent transportation systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 591-603.
    3. Lyu, Zelin & Hu, Xiaojian & Zhang, Fang & Liu, Tenghui & Cui, Zhiwei, 2022. "Heterogeneous traffic flow characteristics on the highway with a climbing lane under different truck percentages: The framework of Kerner’s three-phase traffic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).

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