Pré-Publication, Document De Travail Année : 2024

From Microscopic Driver Models to Macroscopic PDEs in Ring Road Traffic Dynamics

Résumé

In this paper, using a continuation method [22], we provide a simple procedure to derive macroscopic models from second order ordinary differential equations modeling individual vehicles moving on a ring. In particular, the result is applied to classical traffic models such as the optimal velocity follow the leader (OV-FTL) models, the intelligent driver model (IDM) or delayed driver models and we are able to modelize the macroscopic behavior of the drivers through a 2 × 2 partial differential equations whose variables are the density of the traffic and the speed of the vehicles. The paper concludes with open questions regarding stability and microscopic control design.

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Dates et versions

hal-04806729 , version 1 (27-11-2024)
hal-04806729 , version 2 (15-07-2025)

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  • HAL Id : hal-04806729 , version 1

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Sébastien Fueyo, Carlos Canudas de Wit. From Microscopic Driver Models to Macroscopic PDEs in Ring Road Traffic Dynamics. 2024. ⟨hal-04806729v1⟩
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