Stability analysis of multiple-lattice self-anticipative density integration effect based on lattice hydrodynamic model in V2V environment*

Abstract

Under the environment of vehicle-to-vehicle (V2V) communication, the traffic information on a large scale can be obtained and used to coordinate the operation of road traffic system. In this paper, a new traffic lattice hydrodynamic model is proposed which considers the influence of multiple-lattice self-anticipative density integration on traffic flow in the V2V environment. Through theoretical analysis, the linear stability condition ofthe new model is derived and the stable condition can be enhanced when more-preceding-lattice self-anticipative density integration effect is taken into account. The property of the unstable traffic density wave in the unstable region is also studied according to thenonlinear analysis. It is shown that the unstable traffic density wave can be described by solving the modified Korteweg–de-Vries (mKdV) equation. Finally, the simulation results demonstrate the validity of the theoretical results. Both theoretical analysis and numerical simulations demonstrate that multiple-lattice self-anticipative density integrationeffect can enhance the stability of traffic flow system in the V2V environment.