中国物理B ›› 2009, Vol. 18 ›› Issue (8): 3347-3354.doi: 10.1088/1674-1056/18/8/039

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The effect of stochastic accelerating and delay probability with the velocity and the gap between vehicles on traffic flow

盛鹏, 赵树龙, 王俊峰, 唐鹏, 高琳   

  1. School of Computer Science, Sichuan University, Chengdu 610064, China Key Laboratory of Fundamental Synthetic Vision Graphics and Image Science for National Defense, Sichuan University, Chengdu 610064, China
  • 收稿日期:2008-12-21 修回日期:2009-01-19 出版日期:2009-08-20 发布日期:2009-08-20
  • 基金资助:
    Project supported by the National High Technology Research and Development Program of China (Grant Nos 2008AA01Z208 and 2008AA022503), the National Natural Science Foundation of China (Grant Nos 60772150 and 60703018), the State Key Laboratory of Software Engineering (SKLSE) (Grant No SKLSE20080707).

The effect of stochastic accelerating and delay probability with the velocity and the gap between vehicles on traffic flow

Sheng Peng(盛鹏), Zhao Shu-Long(赵树龙), Wang Jun-Feng(王俊峰)† , Tang Peng(唐鹏), and Gao-Lin(高琳)   

  1. School of Computer Science, Sichuan University, Chengdu 610064, China Key Laboratory of Fundamental Synthetic Vision Graphics and Image Science for National Defense, Sichuan University, Chengdu 610064, China
  • Received:2008-12-21 Revised:2009-01-19 Online:2009-08-20 Published:2009-08-20
  • Supported by:
    Project supported by the National High Technology Research and Development Program of China (Grant Nos 2008AA01Z208 and 2008AA022503), the National Natural Science Foundation of China (Grant Nos 60772150 and 60703018), the State Key Laboratory of Software Engineering (SKLSE) (Grant No SKLSE20080707).

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摘要： This paper proposes a new combined cellular automaton (CA) model considering the driver behavior of stochastic acceleration and delay with the velocity of the preceding vehicle and the gap between the successive vehicles based on the WWH model and the noise-first NaSch model. It introduces the delay probability varying with the gap, adds the anticipation headway and increases the acceleration with a certain probability. Through these simulations, not only can the metastable state and start--stop wave be obtained but also the synchronized flow which the wide moving jam results in. Moreover, the effect of stochastic acceleration and delay on traffic flow is discussed by analyzing the correlation of traffic data. This indicates that synchronized flow easily emerges in the critical area between free flow and synchronized flow when acceleration and delay are synchronized or their probability is close to 0.5.

Abstract: This paper proposes a new combined cellular automaton (CA) model considering the driver behavior of stochastic acceleration and delay with the velocity of the preceding vehicle and the gap between the successive vehicles based on the WWH model and the noise-first NaSch model. It introduces the delay probability varying with the gap, adds the anticipation headway and increases the acceleration with a certain probability. Through these simulations, not only can the metastable state and start--stop wave be obtained but also the synchronized flow which the wide moving jam results in. Moreover, the effect of stochastic acceleration and delay on traffic flow is discussed by analyzing the correlation of traffic data. This indicates that synchronized flow easily emerges in the critical area between free flow and synchronized flow when acceleration and delay are synchronized or their probability is close to 0.5.

Key words: traffic flow, noise-first NaSch model, synchronized flow, long-range correlation

中图分类号:  (Noise)

  • 05.40.Ca
02.50.Cw (Probability theory) 02.50.Fz (Stochastic analysis) 02.50.Ng (Distribution theory and Monte Carlo studies) 05.10.Cc (Renormalization group methods)