TY  - JOUR
PY  - 2023//
TI  - Mixed traffic flow of human-driven vehicles and connected autonomous vehicles: string stability and fundamental diagram
JO  - Mathematical biosciences and engineering
A1  - Ma, Lijing
A1  - Qu, Shiru
A1  - Ren, Jie
A1  - Zhang, Xiangzhou
SP  - 2280
EP  - 2295
VL  - 20
IS  - 2
N2  - The introduction of connected autonomous vehicles (CAVs) gives rise to mixed traffic flow on the roadway, and the coexistence of human-driven vehicles (HVs) and CAVs may last for several decades. CAVs are expected to improve the efficiency of mixed traffic flow. In this paper, the car-following behavior of HVs is modeled by the intelligent driver model (IDM) based on actual trajectory data. The cooperative adaptive cruise control (CACC) model from the PATH laboratory is adopted for the car-following model of CAVs. The string stability of mixed traffic flow is analyzed for different market penetration rates of CAVs, showing that CAVs can effectively prevent stop-and-go waves from forming and propagating. In addition, the fundamental diagram is obtained from the equilibrium state, and the flow-density chart indicates that CAVs can improve the capacity of mixed traffic flow. Furthermore, the periodic boundary condition is designed for numerical simulation according to the infinite length platoon assumption in the analytical approach. The simulation results are consistent with the analytical solutions, suggesting the validity of the string stability and fundamental diagram analysis of mixed traffic flow.<p />  <p>Language: en</p>
LA  - en
SN  - 1547-1063
UR  - http://dx.doi.org/10.3934/mbe.2023107
ID  - ref1
ER  -