考虑加速度取值约束的跟驰模型及仿真研究

针对传统跟驰模型产生过大的加速度问题，采用可变的期望间距模型，建立了考虑加速度取值约束的微观跟驰模型。对提出的模型进行稳定性分析，得到与Bando模型不同的稳定性条件。通过仿真发现，加速度取值在一定的范围内，随着加速度的逐渐变大，滞后性曲线范围变小，交通流的稳定性增强，与稳定性分析的结果一致。当加速度取值超过合理范围时，交通流的稳定性变差。因此，考虑加速度取值约束的模型有利于维持交通流的稳定。

Model of Car-following and Its Simulation Based on Limitation of Acceleration

To solve the overshoot of acceleration of traditional model, a model with variable desirable distance for vehicle following is presented,which considering limitation of the acceleration. The linear stability theory is applied to the proposed model,the result of stability is different from the Bando＇s. Through the simulation result, it is found that when the maximum acceleration is reasonable, the stability of the traffic flow is better with the increase of the value of maximum acceleration. While the traffic flow becomes unstable when the maximum acceleration is too large. The proposed model is favorable to keep the traffic flow stable.