Effects of speed deviation and density difference in traffic lattice hydrodynamic model with interruption

An extended lattice hydrodynamic model is proposed by incorporating the effects of speed deviation, traffic interruption probability and the density difference between the leading and the following lattice. The stability condition of the extended model is obtained by using the linear stability theory. Based on nonlinear analysis method, the mKdV equation is derived. Therefore, the propagation behavior of traffic jam can be described by the kink-antikink soliton solution of the mKdV equation. Numerical simulation demonstrated that the traffic flow will be more stable and it is more consistent with real traffic with the consideration of effects of speed deviation and traffic interruption probability and the density difference.