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This paper proposes an improved Intelligent driving model (Sigmoid-IDM) toaddress the problems of excessive acceleration in traffic oscillation andfollowing failure in free flow. The Sigmoid-IDM uses a Sigmoid function toenhance the start-following characteristics, improve the output strategy of thespacing term, and stabilize the steady-state velocity in free flow. Moreover,the model asymmetry is improved by means of introducing cautious followingdistance, driving caution factor, and segmentation function. Theanti-interference ability of the Sigmoid-IDM is demonstrated by local stabilityand string stability analyses.

A Sigmoid-based car-following model to improve acceleration stability in traffic oscillation and following failure in free flow