Optimal velocity difference model of non-neighboring vehicles

The optimal velocity model, generalized force model and full velocity difference model were described, and the deficiencies of these models solving traffic flow problem were analyzed.On the basis of full velocity difference model, the concern degree of driver on the optimial velocity difference information of two non-neighboring preceding vehicles was considered, and the optimal velocity difference model was put out.Through linear stability analysis, the stability condition of traffic flow was obtained.By using numerical simulation, optimal velocity difference model and full velocity difference model were compared.Simulation result shows that by using optimal velocity difference model, the sensitive coefficient of critical stability curve becomes smaller, free flow region increases obviously.While sensitive coefficient is 0.310 0 s^-1, traffic flow stability strengthens, and the phenomenon of negative velocity does not appear.While sensitive coefficient is 0.777 8 s^-1, and reaction coefficient is 0.2, vehicle velocities can basically maintain 0.963 5 m·s^-1.With the increase of reaction coefficient, the produce hysteresis loops of velocities gradually tend to a point.So the optimal velocity difference model is effective.