Some results on a traffic model of Rényi
- 1 August 1969
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 6 (2) , 293-300
- https://doi.org/10.2307/3212000
Abstract
In [5] Renyi considers the following traffic model: Vehicles enter a highway at times 〈Ti, i = 1, 2, … 〉, forming a homogeneous Poisson process of intensity λ. The vehicle entering at time Ti will choose a velocity Vi and will travel at that constant velocity. The random variables 〈Vi, i = 1, 2, …〉 are independently and identically distributed (i.i.d.) and independent of 〈Ti〉 with c.d.f. F satisfying All vehicles travel in the same direction.Keywords
This publication has 4 references indexed in Scilit:
- Some results for infinite server poisson queuesJournal of Applied Probability, 1969
- An invariance property of Poisson processesJournal of Applied Probability, 1969
- On two mathematical models of the traffic on a divided highwayJournal of Applied Probability, 1964
- The Poisson Tendency in Traffic DistributionThe Annals of Mathematical Statistics, 1963