Characteristics of mixed traffic with different acceleration vehicles on single-lane

Vehicles have different normal accelerations. However, the characteristics of the mixed traffic of vehicles with different accelerations have not been studied. In this paper, we present a microscopic model of longitudinal driving, and investigate the characteristics of mixed traffic of two types of vehicles with different accelerations on a single lane using simulation. We obtain the flow-density and velocity-density relationships of the traffic with different mix ratios of low-acceleration vehicles, and show that the max-flux decreases when the mix ratio increases, whereas the critical density are approximately invariable. Then we observe the transition process of the mixed traffic, and find that the mean velocity drops significantly in low density regime. Finally we explore the spatial-temporal evolution of the mixed traffic, and summarize four patterns appeared in different density regimes. The conclusion is that the difference of vehicle's acceleration has significant effect on the characteristics of traffic, and the effect varies in a complicated manner.