An extended heterogeneous car-following model accounting for anticipation driving behavior and mixed maximum speeds

作者：Sun, Fengxin; Wang, Jufeng; Cheng, Rongjun^*; Ge, Hongxia

来源：Physics Letters, Section A: General, Atomic and Solid State Physics , 2018, 382(7): 489-498.

DOI：10.1016/j.physleta.2017.12.037

• Traffic flow
• Heterogeneous traffic
• Car-following model
• Mixed maximum speeds
• Anticipation driving behavior

The optimal driving speeds of the different vehicles may be different for the same headway. In the optimal velocity function of the optimal velocity (OV) model, the maximum speed vmax is an important parameter determining the optimal driving speed. A vehicle with higher maximum speed is more willing to drive faster than that with lower maximum speed in similar situation. By incorporating the anticipation driving behavior of relative velocity and mixed maximum speeds of different percentages into optimal velocity function, an extended heterogeneous car-following model is presented in this paper. The analytical linear stable condition for this extended heterogeneous traffic model is obtained by using linear stability theory. Numerical simulations are carried out to explore the complex phenomenon resulted from the cooperation between anticipation driving behavior and heterogeneous maximum speeds in the optimal velocity function. The analytical and numerical results all demonstrate that strengthening driver's anticipation effect can improve the stability of heterogeneous traffic flow, and increasing the lowest value in the mixed maximum speeds will result in more instability, but increasing the value or proportion of the part already having higher maximum speed will cause different stabilities at high or low traffic densities.

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