Research on multiple vehicles' continuous self-delayed velocities on traffic flow with vehicle-to-vehicle communication.

Under the vehicle-to-vehicle communication environment, different kinds and different ranges of traffic information could be obtained and used for the coordinated operation of road traffic system. To reveal the influence of multiple preceding vehicles' continuous self-delayed velocities information on traffic flow, an extended car-following model by considering multiple preceding vehicles' continuous self-delayed velocities is put forward. Further, the performance of the new model is studied by linear and nonlinear analyses, and also by simulation experiment. The results show that multiple preceding vehicles' continuous self-delayed velocities information affects the stability of traffic flow importantly. • A car-following model by considering multiple vehicles' information is proposed. • The unstable traffic flow is consistent with the solution of the mKdV equation. • The multiple vehicles' self-delayed velocities affects traffic stability importantly. [ABSTRACT FROM AUTHOR]