A Hyperbolic Transport Model for Passenger Flow on Tram Networks
Abstract
Abstract 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
Fields of Study & Subjects
Transportation Planning and Optimization
Traffic control and management
Evacuation and Crowd Dynamics
Publication details
- Journal / source
- Research Square
- Publication date
- 16 March 2026
- Language
- EN
- Document type
- Preprint