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Stability analysis of microscopic models for traffic flow with lane changing
by
Piu, Matteo
, Puppo, Gabriella
in
Flow stability
/ Lane changing
/ Stability analysis
/ Traffic congestion
/ Traffic flow
/ Traffic models
2022
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Stability analysis of microscopic models for traffic flow with lane changing
by
Piu, Matteo
, Puppo, Gabriella
in
Flow stability
/ Lane changing
/ Stability analysis
/ Traffic congestion
/ Traffic flow
/ Traffic models
2022
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Stability analysis of microscopic models for traffic flow with lane changing
Paper
Stability analysis of microscopic models for traffic flow with lane changing
2022
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Overview
This paper investigates the mathematical modeling and the stability of multi-lane traffic in the microscopic scale, studying a model based on two interaction terms. To do this we propose simple lane changing conditions and we study the stability of the steady states starting from the model in the one-lane case and extending the results to the generic multi-lane case with the careful design of the lane changing rules. We compare the results with numerical tests, that confirm the predictions of the linear stability analysis and also show that the model is able to reproduce stop & go waves, a typical feature of congested traffic.
Publisher
Cornell University Library, arXiv.org
Subject
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