Multiple velocity difference model and its stability analysis

Abstract

Based on the full velocity difference (FVD) model proposed by Jiang and Wu, we present an extended car_following model, called the multiple velocity difference (MVD) model. We attempt to enhance the stability of the traffic flow by using the velocity differences of multiple vehicles. It can be found that the critical value of the sensitivity in the MVD model decreases and the stable region is apparently enlarged, compared with the FVD model. Additionally, the simulated results suggest that the MVD model can suppress the traffic jam effectively.