Abstract
Traffic flows on highways are often described in terms of three variables: mean velocity\(v\), traffic flow rate\(q\), and traffic density\(\rho \).
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Notes
- 1.
The spacing is always larger than the corresponding vehicle length. Hereafter, we select the infimum of spacing as 4.5Â m. Since the infimum of headway is difficult to estimate because of varying velocities, we choose an empirical value of 0.5Â s so that the headway is always larger. Actually, both the values have mild influences on the headway/spacing distributions because the estimated location and scale parameters guarantee the stable shapes of the PDFs.
- 2.
The critical density is the value that corresponds to the road capacity, and can be empirically estimated in the flow-density plots by using PeMS data.
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© 2015 Tsinghua University Press, Beijing and Springer-Verlag Berlin Heidelberg
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Chen, X., Li, L., Shi, Q. (2015). Stochastic Fundamental Diagram Based on Headway/Spacing Distributions. In: Stochastic Evolutions of Dynamic Traffic Flow. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44572-3_5
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DOI: https://doi.org/10.1007/978-3-662-44572-3_5
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-662-44572-3
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