A Hyperbolic Transport Model for Passenger Flow on Tram Networks
Abstract
We introduce a modeling framework for an urban tram network based on a hyperbolic partial differential equation describing the transport of passengers along the network, coupled with a family of stochastic processes representing passenger boarding. Solutions are considered in a measure-valued sense. The system is further extended and subjected to uncertainties such as delays and service interruptions through a numerical study. Its robustness is assessed using appropriate risk measures.
Fields of Study & Subjects
Transportation Planning and Optimization
Traffic control and management
Evacuation and Crowd Dynamics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 26 February 2026
- Language
- EN
- Document type
- Preprint