Research on the stabilization effect of continuous self-delayed traffic flux in macro traffic modeling

摘要

A modified macro traffic lattice hydrodynamic model is proposed by considering the continuous self-delayed traffic flux information on traffic stability. Via linear stability theory, the influence of the continuous self-delayed traffic flux on traffic stability is derived. It reveals that the stable region in the density-sensitivity space can be enlarged by taking the continuous self-delayed traffic flux into account. Furthermore, the nonlinear feature of density wave in the unstable region is studied and it is consistent with the kink-antikink solution of the mKdV equation. Also numerical simulation is conducted to further verify the analytical results and it is shown that the continuous self-delayed traffic flux information can improve the stable level of traffic flow significantly. (C) 2019 Elsevier B.V. All rights reserved.