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.

Based on the cellular automaton traffic flow model of automatic cruise controlling, the influences of speed maximum, mixing ratio, expectation factor of speed, and mass of vehicle on energy dissipations of the mixed traffic system are studied. Through computer simulation, the energy dissipations of mixed traffic system under the different parameters are obtained and analysed by the mean field theory. The theoretical analyses are consistent with the results of numerical simulation.

Based on the Nagel-Schreckenberg model, a traffic model for an arterial road with equal-distance-distributed intersections is established. The traffic flow is numerically simulated under the open boundary condition and the control of red and green lights. It is found from the results that the capacity of the arterial road is determined by the capacity of the intersection. For small densities, the flow has no relation with the number of intersections. Moreover, the rule of variation of the maximum point of average velocity with the green-light period is obtained with the mean-field method. On the contrary, the number of intersections plays a crucial role in the flow at larger densities. The arterial road can achieve optimal traffic state via regulating the period of traffic lights.

Based on the Nagel-Schreckenberg traffic flow model，the traffic flow models for electronic and manual toll collection systems are established. The fundamental diagrams of traffic flow are obtained under different parameters via computer simulation. Moreover, the characteristics of electronic and manual toll collection mixed system are analyzed and discussed.

Based on the principle of automatic driving, the mixed traffic flow model of vehicles with different lengths and maximum velocities on one-lane highway is proposed. We obtained the fundamental diagrams of traffic flow model under different parameters via numerical simulation. Moreover, with the help of mean-field theory, the analytical results are given. The theoretical results are in agreement with those from numerical simulations.