Abstract
This chapter introduces some fundamental variables of traffic flow theory. These variables allow to develop traffic models for a specific class: macroscopic or in-mean-field models (see Chaps. 2 and 3). Though simple, models are highly interesting for practical applications (e.g. level of service and traffic flow control, see Chaps. 2 and 6).
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Notes
- 1.
In terms of probabilistic characterisation of the flow phenomenon, the flow stationarity derives from, on the one hand, the stationarity-in-mean of the counting process due to the flow q being constant, and on the other, the stationary in-mean and in-variance (weak stationarity) of the instantaneous speeds in road sections. The two processes need being analysed to verify the statistical properties stated above, in a given time interval T along the infrastructure axis (in space).
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Guerrieri, M., Mauro, R. (2021). Macroscopic Variables and Fundamental Relationships of Traffic Flow Theory. In: A Concise Introduction to Traffic Engineering. Springer Tracts in Civil Engineering . Springer, Cham. https://doi.org/10.1007/978-3-030-60723-4_1
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DOI: https://doi.org/10.1007/978-3-030-60723-4_1
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