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The instability of motorway traffic

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  • Ferrari, Paolo

Abstract

This paper presents an analysis of the dynamic behaviour of the motorway traffic system, in order to single out its characteristics that are responsible for instability. It is shown that, besides the parameters considered in the traditional car-following theory, a great importance in determining instability of a vehicle platoon is the amplitude spectrum of the speed function of the leader vehicle. The results obtained provide a theoretical validation of the reliability theory of motorway traffic, which was founded on experimental basis, and by which the probability of instability of a traffic stream can be experimentally measured.

Suggested Citation

  • Ferrari, Paolo, 1994. "The instability of motorway traffic," Transportation Research Part B: Methodological, Elsevier, vol. 28(2), pages 175-186, April.
    • Handle: RePEc:eee:transb:v:28:y:1994:i:2:p:175-186
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    Cited by:

    1. Holland, E. N., 1998. "A generalised stability criterion for motorway traffic," Transportation Research Part B: Methodological, Elsevier, vol. 32(2), pages 141-154, February.
    2. Nicola Roveri & Antonio Carcaterra & Leonardo Molinari & Gianluca Pepe, 2020. "Safe and Secure Control of Swarms of Vehicles by Small-World Theory," Energies, MDPI, vol. 13(5), pages 1-28, February.
    3. Sun, Jie & Zheng, Zuduo & Sun, Jian, 2018. "Stability analysis methods and their applicability to car-following models in conventional and connected environments," Transportation Research Part B: Methodological, Elsevier, vol. 109(C), pages 212-237.
    4. Zhang, Xiaoyan & Jarrett, David F., 1997. "Stability analysis of the classical car-following model," Transportation Research Part B: Methodological, Elsevier, vol. 31(6), pages 441-462, November.
    5. Zhou, Zhi & Li, Linheng & Qu, Xu & Ran, Bin, 2024. "A self-adaptive IDM car-following strategy considering asymptotic stability and damping characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    6. Mattas, K. & Albano, G. & Donà, R. & He, Y. & Ciuffo, B., 2023. "On the Relationship between Traffic Hysteresis and String Stability of Vehicle Platoons," Transportation Research Part B: Methodological, Elsevier, vol. 174(C).
    7. Sun, Jie & Zheng, Zuduo & Sun, Jian, 2020. "The relationship between car following string instability and traffic oscillations in finite-sized platoons and its use in easing congestion via connected and automated vehicles with IDM based control," Transportation Research Part B: Methodological, Elsevier, vol. 142(C), pages 58-83.

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