The continuum limit of non-local Follow-the-Leader models
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866910436492836864 |
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| author | Holden, Helge Risebro, Nils Henrik |
| author_facet | Holden, Helge Risebro, Nils Henrik |
| contents | We study a generalized Follow-the-Leader model where the driver considers the position of an arbitrary but finite number of vehicles ahead, as well as the position of the vehicle directly behind the driver. It is proved that this model converges to the classical Lighthill-Whitham-Richards model for traffic flow when traffic becomes dense. This also underscores the robustness of the Lighthill-Whitham-Richards model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_00606 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The continuum limit of non-local Follow-the-Leader models Holden, Helge Risebro, Nils Henrik Analysis of PDEs 35L02, 35Q35, 82B21 We study a generalized Follow-the-Leader model where the driver considers the position of an arbitrary but finite number of vehicles ahead, as well as the position of the vehicle directly behind the driver. It is proved that this model converges to the classical Lighthill-Whitham-Richards model for traffic flow when traffic becomes dense. This also underscores the robustness of the Lighthill-Whitham-Richards model. |
| title | The continuum limit of non-local Follow-the-Leader models |
| topic | Analysis of PDEs 35L02, 35Q35, 82B21 |
| url | https://arxiv.org/abs/2312.00606 |