References & Citations
Mathematics > Analysis of PDEs
Title: The continuum limit of non-local Follow-the-Leader models
(Submitted on 1 Dec 2023 (v1), last revised 7 May 2024 (this version, v3))
Abstract: 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.
Submission history
From: Helge Holden [view email][v1] Fri, 1 Dec 2023 14:11:53 GMT (88kb,D)
[v2] Thu, 4 Jan 2024 15:02:59 GMT (470kb,D)
[v3] Tue, 7 May 2024 06:49:59 GMT (89kb,D)
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