A Hyperbolic Transport Model for Passenger Flow on Tram Networks
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918358351347712 |
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| author | Schillinger, Thomas |
| author_facet | Schillinger, Thomas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23081 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Hyperbolic Transport Model for Passenger Flow on Tram Networks Schillinger, Thomas Numerical Analysis 90B20, 65M06, 60K30 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. |
| title | A Hyperbolic Transport Model for Passenger Flow on Tram Networks |
| topic | Numerical Analysis 90B20, 65M06, 60K30 |
| url | https://arxiv.org/abs/2602.23081 |