Analyses of a two-lane lattice hydrodynamic model incorporating predictive effect and self-delayed flux integral

Abstract

To explore the mechanism among disturbance, spatiotemporal evolution characteristics and stability for traffic flow, this paper presents an improved lattice hydrodynamic model with lane change into consideration and investigates the influence of three influencing factors, namely, lane change effect, predictive effect, and self-delayed flux integral effect on traffic flow. Moreover, theoretical analyses containing linear and nonlinear analysis are further developed. By linear stability analysis, we obtain the model’s neutral stability curve. Moreover, the Burgers equation and modified Korteweg–de Vries equation are derived in nonlinear stability analysis section. The phase transition of traffic flow and its propagation behavior of congestion near the critical point are described. In addition, under the influence of disturbance, the spatiotemporal evolution characteristics of density wave and energy consumption are intuitively shown by numerical simulations. The results reveal that appropriate lane change behavior, predictive effect and self-delayed flux integral effect are conducive to improve traffic stability and reduce energy consumption.