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A New Car-Following Model with Consideration of the Driver’s Delay Driving Behaviour

Hu Jun-jun, Zhang Yu


With consideration of the driver’s delay driving behavior, a new car-following model is presented to describe traffic phenomena more actually in real traffic. Applying the linear stability theory, it obtains the linear stability condition of the model. Through nonlinear analysis, we derive the modified Korteweg-de Vries equation to describe the propagating behaviour of headway wave near the critical point. Numerical simulation shows that the driver’s delay driving behavior plays an important role in traffic jamming transition. Moreover, as the coefficient of the driver’s delay driving behavior increases, the stability of traffic flow is weakened.


traffic flow, car-following model, delay driving behavior, traffic jam.

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