An extended car-following model considering random safety distance with different probabilities

作者：Wang, Jufeng; Sun, Fenxin; Cheng, Rongjun^*; Ge, Hongxia; Wei, Qi

来源：Modern Physics Letters B, 2018, 32(5): 1850056.

DOI：10.1142/S0217984918500562

• Traffic flow
• car-following model
• random safety distance
• heterogeneous traffic

Because of the difference in vehicle type or driving skill, the driving strategy is not exactly the same. The driving speeds of the different vehicles may be different for the same headway. Since the optimal velocity function is just determined by the safety distance besides the maximum velocity and headway, an extended car-following model accounting for random safety distance with different probabilities is proposed in this paper. The linear stable condition for this extended traffic model is obtained by using linear stability theory. Numerical simulations are carried out to explore the complex phenomenon resulting from multiple safety distance in the optimal velocity function. The cases of multiple types of safety distances selected with different probabilities are presented. Numerical results show that the traffic flow with multiple safety distances with different probabilities will be more unstable than that with single type of safety distance, and will result in more stop-and-go phenomena.

• 出版日期2018-2-20
• 单位浙江大学; 浙江大学宁波理工学院; 宁波工程学院; 宁波大红鹰学院; 宁波大学