The Distribution of the Occupation Time for Single-Server Queues

Lajos Takács
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Lajos Takács: Case Western Reserve University, Cleveland, Ohio

Operations Research, 1971, vol. 19, issue 6, 1494-1501

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.

Date: 1971
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