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Delays, inaccuracies and anticipation in microscopic traffic models

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  • Treiber, Martin
  • Kesting, Arne
  • Helbing, Dirk

Abstract

We generalize a wide class of time-continuous microscopic traffic models to include essential aspects of driver behaviour not captured by these models. Specifically, we consider (i) finite reaction times, (ii) estimation errors, (iii) looking several vehicles ahead (spatial anticipation), and (iv) temporal anticipation. The estimation errors are modelled as stochastic Wiener processes and lead to time-correlated fluctuations of the acceleration.

Suggested Citation

  • Treiber, Martin & Kesting, Arne & Helbing, Dirk, 2006. "Delays, inaccuracies and anticipation in microscopic traffic models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(1), pages 71-88.
    • Handle: RePEc:eee:phsmap:v:360:y:2006:i:1:p:71-88
    DOI: 10.1016/j.physa.2005.05.001
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    References listed on IDEAS

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    1. G. F. Newell, 1961. "Nonlinear Effects in the Dynamics of Car Following," Operations Research, INFORMS, vol. 9(2), pages 209-229, April.
    2. Holland, E. N., 1998. "A generalised stability criterion for motorway traffic," Transportation Research Part B: Methodological, Elsevier, vol. 32(2), pages 141-154, February.
    3. Gipps, P.G., 1981. "A behavioural car-following model for computer simulation," Transportation Research Part B: Methodological, Elsevier, vol. 15(2), pages 105-111, April.
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