The Theory of Transit Assignment: Basic Modelling Frameworks

In this section, a general mathematical framework for the formulation and solution of transit assignment is presented, which allows for different models, ranging from uncongested assignment to user equilibrium, from static to dynamic. The main functional components of assignment models (route choice, flow propagation, arc performances) are illustrated here with some specific reference to transit networks, but the simulation of public transport services is analysed with more proper detail in the sections that follow. The behavioural concept of strategy is introduced, together with its formulation through hyperarcs and hyperpaths.