Stability analysis and numerical simulation for automated vehicles flow

An improved forward considering car-following model was proposed to describe the automated vehicle's flow behavior. A theorem was proved as a criterion for judging the stability of homogenous automated vehicles flow. The greater forward considering vehicles' number means more stability. A series of simulations were carried out to verify the new model and analyze the stability of automated flow. From the numerical simulation results, the profiles of the automated vehicles and density waves were exhibited. The results are well in accordance with the theoretical results. Moreover, the fundamental diagrams were obtained from the simulation data. The varying parameters of automated vehicles affect traffic flux, which exhibits opposite trend with double varying parameters before and after the critical density. In general, the forward considering vehicles' number before the current vehicles influence the stability and operating state of the automated flow.