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Bounds on the expected waiting time in a GI/G/1 queue: upgrading for low traffic intensity

Published online by Cambridge University Press:  14 July 2016

Zvi Rosberg
Zvi Rosberg*
Affiliation:
IBM T. J. Watson Research Center
*
∗Postal address: IBM T. J. Watson Research Center, P.O. Box 218, Yorktown Heights, NY 10598, USA.
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Abstract

For a GI/G/1 queue we derive new lower and uper bounds on the expected stationary waiting time which are a function of more than the first two moments of the inter-arrival and service times. When the probability for a delay is low, the bounds tend to be better than other bounds. This is illustrated in an example of a Uniform/Uniform/1 queue.

Keywords

STATIONARY WAITING TIMEUNIFORM/UNIFORM/1 QUEUE
Type
Research Papers
Information
Journal of Applied Probability , Volume 24 , Issue 3 , September 1987 , pp. 749 - 757
Copyright
Copyright © Applied Probability Trust 1987 

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Footnotes

The author is on leave from the Technion–IIT, Computer Science Department, Haifa 32000, Israel.

References

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