Congestion in urban transport networks is a major social, economic and environmental problem. To improve the efficiency of transport networks, it is first necessary to understand the possible effects of proposed changes to network infrastructure. An indispensable tool for obtaining such understanding is mathematical modelling. This project will use novel mathematical techniques to develop flexible and computationally efficient models of large-scale transport networks. In collaboration with VicRoads, these new models will be used to study innovative adaptive traffic signal systems, designed to reduce traffic congestion on urban transport networks composed of arterial roads, freeways, tram routes and trains lines.