A Car-following Model Considering Two Different Time Delays and Stability Analysis

Based on the different sensitivities as drivers to response for the space headway or the velocity difference between the following vehicle and the leading vehicle, this study proposes a new car-following (CF) model that considers two different tune delays in sensing space headway and velocity. The stability analysis of the proposed CT model is performed using the perturbation method and the root locus method to obtain the stability condition. Simulation-based numerical experiments are conducted. Results show that the stable region of the proposed model varies with the difference between two different time delays.