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A Linear Dynamic Model for Driving Behavior in Car Following

Author

Listed:
  • Luigi Pariota

    (Department of Civil, Building and Environmental Engineering, University of Naples Federico II, 80125 Naples, Italy)

  • Gennaro Nicola Bifulco

    (Department of Civil, Building and Environmental Engineering, University of Naples Federico II, 80125 Naples, Italy)

  • Mark Brackstone

    (TSS-Transport Simulation Systems Ltd, London EC2M 4YF, United Kingdom)

Abstract

In this paper a car-following model is formulated as a time-continuous dynamic process, depending on two parameters and two inputs. One of these inputs is the follower’s desired equilibrium spacing, assumed to exist and to be known. Another input is the speed of the lead vehicle. Given the formulation of the model, the contribution of these two inputs is separable from an analytical point of view. The proposed model is simple enough (whereas not being simplistic) to support real-time applications in the field of advanced driving assistance systems. Starting from the equilibrium spacing, it is possible to estimate the parameters of the model, allowing for a full identification procedure. The modeling framework was prevalidated against observed data from two different data sets, collected by means of two instrumented vehicles in independent experiments, carried out in Italy and the United Kingdom. The validation proved that the proposed car-following model gives good results not only around the desired equilibrium spacing but also in general car-following conditions. The experimental data sets are discussed in terms of parameter values as well as performance of the dynamic process against observed data.

Suggested Citation

  • Luigi Pariota & Gennaro Nicola Bifulco & Mark Brackstone, 2016. "A Linear Dynamic Model for Driving Behavior in Car Following," Transportation Science, INFORMS, vol. 50(3), pages 1032-1042, August.
    • Handle: RePEc:inm:ortrsc:v:50:y:2016:i:3:p:1032-1042
    DOI: 10.1287/trsc.2015.0622
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    References listed on IDEAS

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    1. P. Wagner, 2011. "A time-discrete harmonic oscillator model of human car-following," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 84(4), pages 713-718, December.
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    Cited by:

    1. Bouadi, Marouane & Jia, Bin & Jiang, Rui & Li, Xingang & Gao, Zi-You, 2022. "Stochastic factors and string stability of traffic flow: Analytical investigation and numerical study based on car-following models," Transportation Research Part B: Methodological, Elsevier, vol. 165(C), pages 96-122.
    2. Amitrajeet A. Batabyal & Hamid Beladi, 2022. "Commuting to work in cities: Bus, car, or train?," Regional Science Policy & Practice, Wiley Blackwell, vol. 14(3), pages 599-609, June.
    3. Blanch Micó, Mª Teresa & Lucas Alba, Antonio & Bellés Rivera, Teresa & Ferruz Gracia, Ana Mª & Melchor Galán, Óscar M. & Delgado Pastor, Luis C. & Ruíz Jiménez, Francisco & Chóliz Montañés, Mariano, 2018. "Car following: Comparing distance-oriented vs. inertia-oriented driving techniques," Transport Policy, Elsevier, vol. 67(C), pages 13-22.
    4. Chandle Chae & Youngho Kim, 2023. "Investigation of Following Vehicles’ Driving Patterns Using Spectral Analysis Techniques," Sustainability, MDPI, vol. 15(13), pages 1-15, July.

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