A Hyperbolic Transport Model for Passenger Flow on Tram Networks
Numerical Analysis
2026-02-27 v1 Numerical Analysis
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.
Cite
@article{arxiv.2602.23081,
title = {A Hyperbolic Transport Model for Passenger Flow on Tram Networks},
author = {Thomas Schillinger},
journal= {arXiv preprint arXiv:2602.23081},
year = {2026}
}
Comments
34 pages, 14 figures, 3 tables