Stability and phase transition of a novel lattice hydrodynamic model considering different flux information coordination methods

Abstract

With the continuous increase of road traffic flow, traffic congestion is becoming increasingly severe. To reduce traffic jam, cooperative driving of vehicles under the environment of Internet of Vehicles is an effective method. Aiming at the difference of cognition and utilization of the target vehicle for its preceding and following traffic information, a novel lattice hydrodynamic model by considering different flux information coordination methods is developed. In the new model, the flux differential information of the preceding road section and the flux integration information of the following road section are taken into account. By applying linear stability analysis, the linear stability condition of the new model is acquired and it shows that as the effects of flux differential information and flux integration information increasing, the stable region of the new model significantly expands. Then, nonlinear stability analysis method is adopted to derive the modified Korteweg-de Vries (mKdV) equation to describe the transition characteristics of the unstable density waves. Finally, through numerical simulation experiments, the active impact of flux differential information and flux integration information on traffic stability is demonstrated. The result is helpful in enhancing traffic performance under Internet of Vehicles environment.