arXiv Open Access 2020

Mean-field limit of a hybrid system for multi-lane multi-class traffic

Xiaoqian Gong Benedetto Piccoli Giuseppe Visconti

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Abstrak

This article aims to study coupled mean-field equation and ODEs with discrete events motivated by vehicular traffic flow. Precisely, multi-lane traffic flow in presence of human-driven and autonomous vehicles is considered, with the autonomous vehicles possibly influenced by external policy makers. First a finite-dimensional hybrid system is developed based on the continuous Bando-Follow-the-Leader dynamics coupled with discrete events due to lane-change maneuvers. Then the mean-field limit of the finite-dimensional hybrid system is rigorously derived for the dynamics of the human-driven vehicles. The microscopic lane-change maneuvers of the human-driven vehicles generates a source term to the mean-field PDE. This leads to an infinite-dimensional hybrid system, which is described by coupled Vlasov-type PDE, ODEs and discrete events.

Topik & Kata Kunci

math.AP math.DS math.OC physics.soc-ph

Penulis (3)

Xiaoqian Gong

Benedetto Piccoli

Giuseppe Visconti

Format Sitasi

APA MLA BibTeX

Gong, X., Piccoli, B., Visconti, G. (2020). Mean-field limit of a hybrid system for multi-lane multi-class traffic. https://arxiv.org/abs/2007.14655

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓