Dynamical Properties of a Compartmental Model for Traffic Networks
S. Coogan, M. Arcak
2014 American Controls Conference
In this paper, we propose a traffic network flow model particularly suitable for qualitative analysis as a dynamical system. Flows at a junction are determined by downstream supply
of capacity (lack of congestion) as well as upstream demand
of traffic wishing to flow through the junction. This approach is rooted in the celebrated Cell Transmission Model for freeway traffic flow, and we analyze resulting equilibrium flows and convergence properties.