A nonlocal traffic flow model with stochastic velocity
| Autor: | Böhme, Timo, Göttlich, Simone, Neuenkirch, Andreas |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 36 pages, 7 figures, 1 table |
| Databáze: | arXiv |
| Externí odkaz: |
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