The number of meetings in free Poisson traffic

Using Rényi's model of free Poisson traffic the distribution of the number of meetings of vehicles on a highway section during a given time interval is investigated. An integro-differential equation for the generating function of that variable is deduced and the first moments are calculated. Th...

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Bibliographic Details
Published in:Journal of applied probability 1974-06, Vol.11 (2), p.320-331
Main Authors: Unkelbach, Hans D., Wegmann, Helmut
Format: Article
Language:English
Subjects:
Generating function
Highway traffic
Mathematical moments
Motor vehicle traffic
Poisson equation
Poisson process
Random variables
Research Papers
Traffic
Traffic models
Vehicles
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Summary:Using Rényi's model of free Poisson traffic the distribution of the number of meetings of vehicles on a highway section during a given time interval is investigated. An integro-differential equation for the generating function of that variable is deduced and the first moments are calculated. The generating function is given explicitly in simple cases and approximately in cases of practical interest.
ISSN:0021-9002
1475-6072
DOI:10.2307/3212753