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The number of meetings in free Poisson traffic

Published online by Cambridge University Press:  14 July 2016

Hans D. Unkelbach  and
Helmut Wegmann
Hans D. Unkelbach
Affiliation:
Technische Hochschule Darmstadt
Helmut Wegmann
Affiliation:
Technische Hochschule Darmstadt
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Abstract

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.

Keywords

MEETINGS IN ROAD TRAFFICPOISSON TRAFFIC MODELPOISSON PROCESSESCONDITIONAL POINT PROCESSESGENERATING FUNCTIONASYMPTOTIC DISTRIBUTION
Type
Research Papers
Information
Journal of Applied Probability , Volume 11 , Issue 2 , June 1974 , pp. 320 - 331
Copyright
Copyright © Applied Probability Trust 1974 

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References

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