An improved lattice hydrodynamic model considering the backward looking effect and the traffic interruption probability

By incorporating the backward looking effect and traffic interruption probability, we put forward an improved lattice model. Applying linear stability analysis, linear stability criterion is derived. The mKdV equation is deduced through nonlinear theory, which demonstrates that the solution of mKdV equation can describe traffic congestion. Furthermore, numerical simulation shows that the two factors can enhance traffic flow stability in the driving process.