Abstract. Automated vehicle technologies have the potential to improve traffic efficiency, stability and safety. Some models of mixed traffic are presented, which consist of automated vehicles and regular vehicles. First, a differential equation model based on automated vehicles is developed by regarding the traffic flow as a whole and using three continuous variables (traffic density, driving speed and traffic volume) to reflect the basic characteristics of traffic from the macroscopic perspective. Second, by taking into account (1) Actual Expected Speed Ratio (AESR), (2) Change Lane Count (CL), (3) Backward Distance (BD), and (4) Over Take (OT), the traffic flow evaluation model is established. Furthermore, by selecting locations randomly, we take the average value of the five cellular automata to the simulating results and validate the reliability of the model in the tolerance. Finally, optimal solutions to accommodate automated vehicles are given.