A control method for congested traffic induced by bottlenecks in the coupled map car-following model

We present a simple control method to suppress the traffic congestion in the coupled map car-following model under open boundary, based on the pioneer work of Konishi et al. [Coupled map car-following model and its delayed-feedback control, Phys. Rev. E 60 (1999) 4000–4007]. Theoretically, it is proven that the congested traffic in the traffic system could be suppressed by using the method. Comparison between our method and the method of Konishi et al. is carried out. The simulation results show the temporal behavior obtained by our method is better than that by the method of Konishi et al., although both the methods can suppress the traffic jam. The simulation results demonstrate that the traffic system can move into a homogeneous phase and the flux has great increases by the introduction of the control signal. The simulation results are in good agreement with the theoretical analysis.