A multi-value cellular automata model for multi-lane traffic flow under lagrange coordinate

In this paper, a multi-value cellular automata model under Lagrange coordinates is proposed based on reality, the traffic flow in the Lagrange coordinate is simulated on the basis of the evolution equation of the model. From the fundamental diagram of the results under various conditions, it found that the three commonly used parameters of traffic flow in simulation is consistent with the empirical data. Specifically, traffic density and the number of lanes have a significant impact on traffic flow. The lower the density is, the more lanes there are, and the greater the flow. The research of this paper can help to develop more advanced traffic research technology, and improve the efficiency of traffic work subsequently. Simultaneously, it will bring convenience to people and promote the development of green traffic.