Effect of front two adjacent vehicles’ velocity information on car-following model construction and stability analysis

Herein, an extended car-following model is proposed considering the anticipative velocity and average velocity information of front adjacent and sub-adjacent vehicles based on manual driving and V2V environments. The traffic flow stability, traffic flow characteristics, and vehicle operation benefits of this model are analyzed to provide a reference for traffic flow modeling. The stability condition of this model is obtained via linear stability analysis, and the mKdV equation describing the evolution characteristics of the traffic density wave of this model is obtained via nonlinear analysis. Theoretical and numerical simulation results show that the extended model can effectively improve the traffic flow stability, the stability increases with the sum of the action intensity of the anticipative velocity information, and the change in the action intensity relationship is negligible. The average velocity information does not contribute significantly to the traffic flow stability but its superposition with the anticipative velocity information is beneficial. The extended model affords smoother vehicle starting and braking at a signalized intersection, thereby reducing fuel consumption and emissions.