Abstract
The earliest family in the model tree incorporating dynamics are microscopic models. They are based on the assumption that drivers adjust their behaviour to that of the leading vehicle. Microscopic modelling has shown to be a fruitful line of thought, which is illustrated by the large part of the model tree taken up by this family (see the model tree on page 15. Microscopic models describe the longitudinal (car-following) and lateral (lane-changing) behaviour of individual vehicles. We focus on longitudinal behaviour.
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Further Reading
Aghabayk K, Sarvi M, Young W (2015) A state-of-the-art review of car-following models with particular considerations of heavy vehicles. Transp Rev 35(1):82–105
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Orosz G, Wilson RE, Stépán G (2010) Traffic jams: dynamics and control. Philos Trans R Soc A Math Phys Eng Sci 368:4455–4479
Rahman M, Chowdhury M, Xie Y, He Y (2013) Review of microscopic lane-changing models and future research opportunities. IEEE Trans Intell Transp Syst 14(3):1942–1956
Saifuzzaman M, Zheng Z (2014) Incorporating human-factors in car-following models: a review of recent developments and research needs. Transp Res Part C Emerg Technol 48:379–403
Treiber M, Kanagaraj V (2015) Comparing numerical integration schemes for time-continuous car-following models. Phys A Stat Mech Appl 419:183–195
Wilson RE, Ward JA (2011) Car-following models: fifty years of linear stability analysis: a mathematical perspective. Transp Plan Technol 34(1):3–18
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Kessels, F. (2019). Microscopic Models. In: Traffic Flow Modelling. EURO Advanced Tutorials on Operational Research. Springer, Cham. https://doi.org/10.1007/978-3-319-78695-7_3
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DOI: https://doi.org/10.1007/978-3-319-78695-7_3
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