The Distribution of the Occupation Time for Single-Server Queues
Published Online:1 Oct 1971https://doi.org/10.1287/opre.19.6.1494
Abstract
This paper gives a general method for finding the distribution of the occupation time for single-server queues, discusses in detail queues with recurrent input and general service times, and gives some examples in which either the Laplace-Stieltjes transform of the distribution function of the inter-arrival times or the Laplace-Stieltjes transform of the distribution function of the service times is a rational function.
