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The relations of “go and stop” wave to car accidents in a cellular automaton with velocity-dependent randomization

Author

Listed:
  • Yang, Xian-Qing
  • Zhang, Wei
  • Qiu, Kang
  • Xu, Wen-tao
  • Tang, Gang
  • Ren, Lin

Abstract

In this paper we numerically study the probability Pac of the occurrence of traffic accidents in the Nagel–Schreckenberg (NS) model with velocity-dependent randomization (VDR). Numerical results show that there is a critical density over which car accidents occur, but below which no car accidents happen. Different from the accident probability in the NS model, the accident probability in the VDR model monotonously decreases with increase of car density above the critical density. The value of the accident probability is only determined by the stochastic noise and the number of cars on road. In the stochastic VDR model with the speed limit vmax=1, no critical density exists and car accidents happen in the whole density region. The braking probabilities of standing cars and moving cars have different influences on the accident probability. A mean-field theory reveals that the accident probability is proportional to the mean density of “go and stop” wave per time step. Theoretical analyses give excellent agreement with numerical results in the VDR model.

Suggested Citation

  • Yang, Xian-Qing & Zhang, Wei & Qiu, Kang & Xu, Wen-tao & Tang, Gang & Ren, Lin, 2007. "The relations of “go and stop” wave to car accidents in a cellular automaton with velocity-dependent randomization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 589-599.
    • Handle: RePEc:eee:phsmap:v:384:y:2007:i:2:p:589-599
    DOI: 10.1016/j.physa.2007.05.058
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    Cited by:

    1. Zhang, San-Tong & Chen, Yi-Chuan, 2011. "Simulation for influence of train failure on railway traffic flow and research on train operation adjusting strategies using cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3710-3718.
    2. Qi, Le & Zheng, Zhongyi & Gang, Longhui, 2017. "Marine traffic model based on cellular automaton: Considering the change of the ship’s velocity under the influence of the weather and sea," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 480-494.

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