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.