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On the relation between customer and time averages in queues

Published online by Cambridge University Press:  14 July 2016

Shelby L. Brumelle
Shelby L. Brumelle*
Affiliation:
University of British Columbia, Vancouver
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Extract

Little [8] gave conditions sufficient to obtain the formula L = λW, where L is the time average queue size, W is the expected wait in queue, and λ is the arrival rate of customers. This formula is applicable to a very general class of queuing models and is one of the most useful results in queuing theory.

Type
Research Papers
Information
Journal of Applied Probability , Volume 8 , Issue 3 , September 1971 , pp. 508 - 520
Copyright
Copyright © Applied Probability Trust 1971 

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References

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