On two mathematical models of the traffic on a divided highway
- 1 December 1964
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 1 (02) , 311-320
- https://doi.org/10.1017/s0021900200108423
Abstract
In the present paper we deal with two models of the traffic on a divided highway. In both models traffic is flowing in one direction only, in two lanes, of which one (the left hand lane) is used only for overtaking. We suppose that vehicles enter the highway at the same entrance so that the instants at which a vehicle enters the highway form a homogeneous Poisson process, with density λ. Thus λ is the rate at which vehicles enter the highway per unit time. We suppose that there are no junctions, or exits (i.e. the highway extends in one direction to infinity).Keywords
This publication has 2 references indexed in Scilit:
- The Poisson Tendency in Traffic DistributionThe Annals of Mathematical Statistics, 1963
- Remarks on the Poisson stochastic process (III) (On a property of the homogeneous Poisson process)Studia Mathematica, 1953