Multi-class continuum traffic flow models: Analysis and simulation methods

How to model and simulate traffic flow including different vehicles such as cars and trucks? This dissertation answers this question by analyzing existing models and simulation methods and by developing new ones. The new model (Fastlane) describes traffic as a continuum flow while accounting for different types of vehicles. It is reformulated in Lagrangian coordinates. Using the reformulation, mathematical properties of the model are analyzed and efficient simulation methods are developed