Congested traffic patterns of mixed lattice hydrodynamic model combining the perceptual range differences with passing effect

Abstract

With the aid of Vehicle-to-everything (V2X) technologies for network connectivity, connected autonomous vehicles (CAVs) can broaden the drivers' perceptual boundaries and receive a greater quantity of exogenous vehicle information, thereby governing the vehicle's acceleration information of the next moment. Nonetheless, constrained by contemporary communication networks and sophisticated vehicle control technology, the process of promoting CAVs is long-lasting, and throughout this stage of transition, both CAVs and human-driven vehicles (HDVs) will coexist on the road. Moreover, passing behaviour has received limited attention in the research on the traffic flow models despite being a fundamental microscopic driving behaviour. To bridge these gaps, we introduce the percentage ratios of CAVs into the lattice hydrodynamic model by integrating the perceptual range differences between two different types of vehicles with passing effects. Subsequently, the stability norm associated with the new model is ascertained by performing the linear stability analysis. When the stability condition is not achieved, we investigate the complex behaviour of the new model. The associated existing conditions and the modified Korteweg-de Vries (mKdV) equation are determined simultaneously. When the passing ratio is inadequate, no jam and kink jam make up the whole phase region; when the passing ratio surpasses the minimum, the initial unstable region can be segregated into two extra segments: the chaotic sub-region and the kink jam sub-region, and the density wave progressively transitions from being a kink-Bando traffic wave to a chaotic phase. The findings of the numerical experiment are consistent with with the theoretical derivation.