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A new lattice model of traffic flow with the consideration of the driver’s forecast effects. (English) Zbl 1242.90059
Summary: In this Letter, a new lattice model is presented with the consideration of the driver’s forecast effects (DFE). The linear stability condition of the extended model is obtained by using the linear stability theory. The analytical results show that the new model can improve the stability of traffic flow by considering DFE. The modified KdV equation near the critical point is derived to describe the traffic jam by nonlinear analysis. Numerical simulation also shows that the new model can improve the stability of traffic flow by adjusting the driver’s forecast intensity parameter, which is consistent with the theoretical analysis.
MSC:
90B20Traffic problems
60K30Applications of queueing theory
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