On the approximation solution of a cellular automaton traffic flow model and its relationship with synchronized flow

Abstract

This paper studies approximation solution of a cellular automaton model. In the model, the finite size effect is trivial because the congested flow is quite homogeneous. Thus, the approximation solution of a small sized system can be regarded as solution of large system. We have investigated the approximation solution of a small traffic system with two vehicles. The analytical result is in good agreement with simulation. Finally, it is demonstrated that the homogeneous congested flow is closely related to synchronized flow. © 2009 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering.