On the service time distribution and the waiting time process of a potentially infinite capacity queueing system
- 1 December 1969
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 6 (3) , 594-603
- https://doi.org/10.2307/3212105
Abstract
In [1] the authors dealt with a particular queueing system in which arrivals occurred in a Poisson stream and the probability differential of a service completion was μσn when the queue contained n customers. Much of the theory could not be carried out further analytically for a general σn, which is a purely n-dependent quantity. To carry the analysis further to the extent of finding the “effective” service time and the waiting time distribution when σn is a linear function of n, (which is considered to be rather general and sufficient for practical purposes), constitutes the subject matter of this paper.Keywords
This publication has 1 reference indexed in Scilit:
- A Correlated QueueJournal of Applied Probability, 1969