The effect of Noise-First and anticipation headway on traffic flow

In this context, we introduce anticipation headway to modify the Noise-First NaSch model under condition of periodic boundary. The traffic situation with different parameters can be numerical simulated. It was indicated that the Noise-First model with added anticipation headway is more realistic in reflecting traffic flow. Not only start-stop wave and synchronized flow but also the metastable state can be obtained by numerical simulation. The modified model can reproduce nonlinear phenomena which tallies with the real traffic.