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On some limit theorems for the GI/G/1 queue

Published online by Cambridge University Press:  14 July 2016

John A. Hooke
John A. Hooke*
Affiliation:
Cornell University
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Extract

For a GI/G/1 queue a limit theorem is obtained for the total input of work during (0, t]. This result is then used to obtain similar theorems for the waiting and idle times and for busy periods initiated by large service loads. Some of the results contained in the paper have recently been proved by other authors in more general settings. The intent of this work is to show how they may be obtained in lesser generality using simpler techniques.

Type
Research Papers
Information
Journal of Applied Probability , Volume 7 , Issue 3 , December 1970 , pp. 634 - 640
Copyright
Copyright © Applied Probability Trust 1970 

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