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The equality of the workload and total attained waiting time in average

Published online by Cambridge University Press:  14 July 2016

Genji Yamazaki  and
Masakiyo Miyazawa
Genji Yamazaki*
Affiliation:
Tokyo Metropolitan Institute of Technology
Masakiyo Miyazawa*
Affiliation:
Science University of Tokyo
*
∗Postal address: Department of Engineering Management, Tokyo Metropolitan Institute of Technology, 6–6, Asahigaoka, Hino-City, Tokyo 191, Japan.
∗∗Postal address: Department of Information Sciences, Science University of Tokyo, Noda City, Chiba 278, Japan.
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Abstract

It has recently been shown that, for the FCFS G/G/1 queue, the workload and attained waiting time of a customer in service have the same stationary distribution. We show that, for a general queueing system setting, the workload and total attained waiting time of customers in service are identical in average but the equality of the distributions is not true in general except for the FCFS G/G/1 queue.

Keywords

QUEUESAMPLE AVERAGE
Type
Short Communications
Information
Journal of Applied Probability , Volume 28 , Issue 1 , March 1991 , pp. 238 - 244
Copyright
Copyright © Applied Probability Trust 1991 

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References

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