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A note on the asymptotic distribution of the traffic-time-average in a GI/G/∞ with bulk arrivals

Published online by Cambridge University Press:  14 July 2016

T. Narasimham
T. Narasimham*
Affiliation:
The Ahmedabad Textile Industry's Research Association, Ahmedabad, India
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Extract

The asymptotic distribution of the traffic average in the case of M/G/∞ with bulk arrivals has been proved in [7] to be normal with mean μCμPμF and variance where and are the variances and μP and μc are the means of the service-time and the batch-size respectively, μF being the mean inter-arrival time. We prove in this note that the asymptotic normality holds even in the more general case of a G//G/∞ with bulk arrivals.

Type
Short Communications
Information
Journal of Applied Probability , Volume 5 , Issue 2 , August 1968 , pp. 476 - 480
Copyright
Copyright © Applied Probability Trust 1968 

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References

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