Analysis on Molecular Kinetics for Traffic Flow Stability

Abstract

To prevent effectively the occurrence of traffic congestion and to reduce the traffic accident rate, traffic flow stability is analyzed by molecular kinetics based on the Lyapunov stability criterion, and a model is developed regarding the traffic flow in a state of uniform synchronous flow as the object, considering the integrated effect of people, vehicles, roads, environment, etc. With a trajectory graph of vehicles and state diagrams of traffic flow, the evolution process of traffic flow stability influenced by various factors of traffic disturbance is analyzed. The mechanism inducing the phenomenon of traffic flow instability is revealed. Traffic flow stability can be improved by considering traffic scenes such as people, vehicles, roads, and the environment.