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Multi-anticipative Car-Following Behaviour: Macroscopic Modeling

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Abstract

In this work we will deal with a macroscopic model of multi-anticipative car-following behaviour i.e. driving behaviour taking into account several vehicles ahead. Some empirical studies have suggested that drivers not only react to the closest leader vehicle but also anticipate on traffic conditions further ahead. Using a recent mathematical result of homogenization for a general class of car-following models (and also available for multi-anticipative models), we will deeply investigate the effects of multi-anticipation at the microscopic level on the macroscopic traffic flow. To investigate multi-anticipation behaviour may be fundamental to understand better cooperative traffic flow dynamics.

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Acknowledgements

The authors are grateful to Prof. Régis Monneau. We also want to thank the organizers of the Conference on Traffic and Granular Flow (TGF’13) in Jülich, Germany.

This work was partially supported by the ANR (Agence Nationale de la Recherche) through HJnet project ANR-12-BS01-0008-01.

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Costeseque, G., Lebacque, JP. (2015). Multi-anticipative Car-Following Behaviour: Macroscopic Modeling. In: Chraibi, M., Boltes, M., Schadschneider, A., Seyfried, A. (eds) Traffic and Granular Flow '13. Springer, Cham. https://doi.org/10.1007/978-3-319-10629-8_45

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