An anisotropic macroscopic mixed-flow model integrating the perceptual domains differences impact

Recent developments in the Internet of Vehicles (IoT) have enabled connected vehicles (CVs) to break the perceptual boundary of drivers to receive more abundant exogenous information, which provides more opportunities for optimizing the running state of the vehicles and enhancing traffic efficiency. Nevertheless, promoting CVs is a long process, which means that human-driven vehicles (HDVs) and CVs will coexist on the road during this stage of development. To this end, we comprehensively consider the differences in the communication mechanism between two different types of vehicles and introduce the penetration rate to quantify the ratio of HDVs and CVs, and then propose a novel generic continuum modelling framework. Subsequently, the stability norm and associated KdV-Burger equation are deduced with the aid of the linear and nonlinear stability analysis approach, respectively. Lastly, we provide several simulation experiments in the open or periodic boundary environment, to examine the above theoretical analysis.