A Hyperbolic Transport Model for Passenger Flow on Tram Networks

We introduce a modeling framework for an urban tram network based on a hyperbolicpartial differential equation describing the transport of passengers along the network,coupled with a family of stochastic processes representing passenger boarding. Solutionsare considered in a measure-valued sense. The system is further extended and subjectedto uncertainties such as delays and service interruptions through a numerical study. Itsrobustness is assessed using appropriate risk measures. AMS Classification. 90B20, 65M06, 60K30