A nonlocal traffic flow model with stochastic velocity
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913415954432000 |
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| author | Böhme, Timo Göttlich, Simone Neuenkirch, Andreas |
| author_facet | Böhme, Timo Göttlich, Simone Neuenkirch, Andreas |
| contents | In this paper, we investigate a nonlocal traffic flow model based on a scalar conservation law, where a stochastic velocity function is assumed. In addition to the modeling, theoretical properties of the stochastic nonlocal model are provided, also addressing the question of well-posedness. A detailed numerical analysis offers insights how the stochasticity affects the evolution of densities. Finally, numerical examples illustrate the mean behavior of solutions and the influence of parameters for a large number of realizations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02962 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A nonlocal traffic flow model with stochastic velocity Böhme, Timo Göttlich, Simone Neuenkirch, Andreas Numerical Analysis In this paper, we investigate a nonlocal traffic flow model based on a scalar conservation law, where a stochastic velocity function is assumed. In addition to the modeling, theoretical properties of the stochastic nonlocal model are provided, also addressing the question of well-posedness. A detailed numerical analysis offers insights how the stochasticity affects the evolution of densities. Finally, numerical examples illustrate the mean behavior of solutions and the influence of parameters for a large number of realizations. |
| title | A nonlocal traffic flow model with stochastic velocity |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2407.02962 |