Abstract:

Abstract: The forward looking lattice model of traffic flow is extended to take the backward looking effect and the relative current effect into account. The stability, neutral stability and instability conditions are obtained by the use of the linear stability theory. The stability of the uniform flow is strengthened due to the effects of the backward looking and the relative current. The performances of several traffic flow models are investigated analytically and numerically. The results indicate that by increasing the strengths of the backward looking effect and the relative current effect, the stable region increases and the traffic jam is effectively suppressed.

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