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Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models pp 63–78Cite as

Stop-and-Go Waves: A Microscopic and a Macroscopic Description

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Part of the book series: SEMA SIMAI Springer Series ((ICIAM2019SSSS,volume 12))

Abstract

In this paper we investigate a typical phenomenon of congested traffic: the stop-and-go waves. Since modelling properly this phenomenon is crucial for developing techniques aimed at reducing it, we present two different models: a microscopic and a macroscopic one, both of them able to reproduce stop-and-go waves. In the former, vehicles’ dynamics are described by a second-order microscopic Follow-the-Leader model, which is calibrated and validated by real measurements. Data are analysed and compared with the numerical solutions computed by the microscopic model. The latter provides a description of traffic dynamic via the macroscopic second-order CGARZ model. With the numerical implementation, by means of the 2CTM scheme, we test the ability of the model of capturing stop-and-go waves.

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Notes

  1. 1.

    The question arises why this condition should hold true in the context of traffic modelling, considering the fact that rear-end collisions are actually possible in real life.

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Acknowledgements

Authors want to thank Maya Briani and Emiliano Cristiani for the useful suggestions and comments on this work.

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Authors and Affiliations

  1. SBAI Department, Sapienza Università di Roma, Rome, Italy

    Caterina Balzotti & Elisa Iacomini

Authors
  1. Caterina Balzotti
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  2. Elisa Iacomini
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Correspondence to Caterina Balzotti .

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Editors and Affiliations

  1. Department of Mathematics, Sapienza University of Rome, Roma, Italy

    Gabriella Puppo

  2. Department of Mathematical Sciences “G. L. Lagrange”, Politecnico di Torino, Torino, Italy

    Andrea Tosin

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Balzotti, C., Iacomini, E. (2021). Stop-and-Go Waves: A Microscopic and a Macroscopic Description. In: Puppo, G., Tosin, A. (eds) Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models. SEMA SIMAI Springer Series(), vol 12. Springer, Cham. https://doi.org/10.1007/978-3-030-66560-9_4

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