Modelling, Stability and Synchronization of Traffic Flow Networks

In this project, we investigate the dynamics and stability of traffic flow networks. So far, most traffic flow models focus on either macroscopic or microscopic effects. There is almost no work on mesoscopic models including microscopic elements such as traffic lights in a macroscopic setting. Hence, given the present state of traffic networks, there is some demand in developing active and rigorous design methodologies on mesoscopic scales. Against this background, the main goal of the project proposal at hand is to develop a dynamic traffic model for controlling synchrony of traffic flow. The incorporation of microscopic elements will allow us to investigate effects of, for instance, traffic lights or accidents on the stability of synchronization. A second focus is the network structure, both static (node and street location) and dynamic (traffic light control) and its effect on the functioning of the traffic in the network. We aim for predictive statements for stabilizing and destabilizing network changes to develop model design criteria for synchronizing and stabilizing the traffic.