The number of meetings in free Poisson traffic
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Published:1974-06
Issue:2
Volume:11
Page:320-331
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ISSN:0021-9002
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Container-title:Journal of Applied Probability
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language:en
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Short-container-title:Journal of Applied Probability
Author:
Unkelbach Hans D.,Wegmann Helmut
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.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference8 articles.
1. On two mathematical models of the traffic on a divided highway
2. Remarks on processes of calls;Ryll-Nardzewsky;Proc. Fourth Berkeley Symp.,1961
3. An invariance property of Poisson processes
4. Jacobs F. (1969) Probleme der Stochastischen Theorie des Verkehrsablaufs auf Strassen. Dissertation, Stuttgart.