An extended cell transmission model based on digraph for urban traffic road network

This paper proposes a macroscopic traffic flow model for urban traffic road network. First, dynamic digraph is used to model the urban traffic road network's topological structure. Then, traffic flow data which is based on an extended cell transmission model and the traffic shock wave theory are endowed to the dynamic digraph to construct a weighted dynamic digraph model. Finally, the modeling method is applied to a local road network to illustrate the availability of the modeling method when compared with real data.