Abstract
The time headway process has great practical as well as theoretical significance in highway engineering. The chapter deals with the basics which statistically characterize a process of time intervals between vehicles of a traffic stream. Some aspects of the correspondence between headways and counting distributions are also outlined
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Notes
- 1.
It is worth remembering that, unlike the so-called “free-moving vehicles”, “constrained vehicles” denote those vehicles whose drivers are obliged by traffic stream conditions to maintain a lower speed than that desired.
- 2.
It is worth recalling that the k-order moment of a random variable X with respect to the origin is the mean of its k-th power: \( {\text{m}}_{\text{k}} = {\text{E[X}}^{\text{k}} ]= \left\{ \begin{gathered} \sum {{\text{x}}_{\text{i}}^{\text{k}} \cdot {\text{p(x}}_{\text{i}} )\quad {\text{for}}\;{\text{discrete}}\text{---}{\text{valued}}\;{\text{R}} . {\text{V}}} . \\ \int {{\text{x}}^{\text{k}} \cdot {\text{f(x) dx}}\quad {\text{for}}\;{\text{continuous}}\text{---}{\text{valued}}\;{\text{R}} . {\text{V}}} . \end{gathered} \right. \) in which the summation and the integral are extended to the definition intervals of X.
References
Gerlough, D.L., Huber, M.J., Traffic Flow Theory, TRB Report 165, Washington D. C., 1975
May, A.D., Traffic Flow Fundamentals, Prentice Hall, 1990
Kottegoda, N.T., Rosso, R., Applied Statistics for Civil and Environmental Engineers, Wiley-Blackwell, Hoboken, N.J., 2008
Mauro, R., Branco, F., Two Vehicular Headways Time Dichotomic Models, Modern Applied Science, vol. 6, no. 12, 2012
Wentzel, H., Théorie des probabilités, Éditions MIR, Moscous 1973
Wentzel, E., Ovcharov, L., Applied Problems in Probability Theory, Mir Publisher Moscow, 1986
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Mauro, R. (2015). Time Headway Process. In: Traffic and Random Processes. Springer, Cham. https://doi.org/10.1007/978-3-319-09324-6_6
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DOI: https://doi.org/10.1007/978-3-319-09324-6_6
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