Abstract
In this paper, a modified car-following model is proposed by taking into account the influence of the average speed effect of vehicles and driver’s memory on traffic flow basing on two velocity difference model (TVDM). The stability conditions are obtained through the linear stability analysis. The time-dependent Ginzburg–Landau (TDGL) equation and the modified Korteweg–de Vries (mKdV) equation are derived in the unstable areas by means of nonlinear analysis, respectively. The TDGL and mKdV equations are constructed to describe the traffic behavior near the critical point. The evolution of traffic congestion and the corresponding energy consumption are discussed. The results from numerical simulations are consistent with the ones from theoretical analysis. It is found that the extended model can not only reduce energy consumption but also enhance the stability of traffic flow.
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