Abstract
This chapter deals with the fundamentals of random and traffic processes and provides a very accurate description of probability models for arrival, speed, headway and vehicular density processes. Also the main counting, headway and speed probability distributions are shown.
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Notes
- 1.
Operating Speed is the speed at which drivers are observed operating their vehicles during free-flow conditions. The 85th percentile of the distribution of observed speeds is the most frequently used measure of the operating speed associated with a particular location or geometric feature. (AASHTO Green Book, 2001).
- 2.
In this case the interval ΔT in Fig. 5.1 is here set equal to Δt.
- 3.
For calculating s2 the relation between the moments of a frequency distribution was used, on whose basis \({\text{s}}^{2} = ({\text{n}}_{2}^{*} - {\bar{\text{n}}}^{2} /{\text{N}})/({\text{N}} - 1)\) where \({\text{n}}_{2}^{*} = \sum {{\text{n}}_{\text{i}}^{2} } \cdot {\text{f}}_{\text{i}}\) is the second moment of the frequency distribution.
References
Mauro R (2015) Traffic and random processes. Springer, Berlin
Gerlough DL, Huber MJ (1975) Traffic flow theory: a monograph. Special Report 165. TRB
Leutzbach W (1988) Introduction to the theory of traffic flow. Springer, Berlin
Teodorović D, Janić M (2016) Transportation engineering. Theory: practice and modeling. Elsevier, Amsterdam
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Guerrieri, M., Mauro, R. (2021). Fundamentals of Random and Traffic Processes. In: A Concise Introduction to Traffic Engineering. Springer Tracts in Civil Engineering . Springer, Cham. https://doi.org/10.1007/978-3-030-60723-4_5
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DOI: https://doi.org/10.1007/978-3-030-60723-4_5
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