BOUNDS ON THE EXPECTED WAITING TIME IN A GI/G/L QUEUE: UPGRADING FOR LOW TRAFFIC INTENSITY.

Zvi Rosberg

doi:10.2307/3214104

BOUNDS ON THE EXPECTED WAITING TIME IN A GI/G/L QUEUE: UPGRADING FOR LOW TRAFFIC INTENSITY.

Zvi Rosberg

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

For a GI/G/l queue we derive new lower and upper 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/l queue.

Original language	English
Pages (from-to)	749-757
Number of pages	9
Journal	Journal of Applied Probability
Volume	24
Issue number	3
DOIs	https://doi.org/10.2307/3214104
State	Published - 1 Jan 1987
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Statistics, Probability and Uncertainty

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10.2307/3214104

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AB - For a GI/G/l queue we derive new lower and upper 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/l queue.

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BOUNDS ON THE EXPECTED WAITING TIME IN A GI/G/L QUEUE: UPGRADING FOR LOW TRAFFIC INTENSITY.

Abstract

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