Simulation research on evaluating of reasonability for the car-following models based on chaos criterion

In this paper, a new approach for evaluating of reasonability for the traffic flow models has been presented. The traffic flow model generates the time series of traffic flow. The maximum Lyapunov exponents of the time series of traffic flow are computed. The state of the chaos appearing can be analyzed using the maximum Lyapunov exponents. Analyzing the state of the chaos appearing, which includes whether there are chaos appearing and how is the level of the chaos appearing, then the reasonability of the car-following model can be evaluated. The principle of the approach is introduced. The simulation results for three typical car-following models (Gazis-Herman-Potts model, Bierley model, and Rockwell-Treiterer model) are given. The useful conclusion is obtained from the analysis of the simulation results.