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• W3046021908 abstract "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." @default.
• W3046021908 created "2020-08-03" @default.
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• W3046021908 date "2020-07-29" @default.
• W3046021908 modified "2023-10-14" @default.
• W3046021908 title "Mean-field limit of a hybrid system for multi-lane multi-class traffic" @default.
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• W3046021908 doi "https://doi.org/10.48550/arxiv.2007.14655" @default.
• W3046021908 hasPublicationYear "2020" @default.
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