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A new approach to the G/G/1 queue with generalized setup time and exhaustive service

Part of: Operations research and management science Special processes

Published online by Cambridge University Press:  14 July 2016

Huan Li  and
Yixin Zhu
Huan Li
Affiliation:
State University of New York, Buffalo
Yixin Zhu
Affiliation:
State University of New York, Buffalo
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Abstract

We consider a class of G/G/1 queueing models with independent generalized setup time and exhaustive service. It is shown that a variety of single-server queueing systems with service interruption are special cases of our model. We give a simple computational scheme for the moments of the stationary waiting time and sojourn time. Our numerical investigations indicate that the algorithm is quite accurate and fast in general. For the M/G/1 case, we are able to derive a recursive formula for the moments of the stationary waiting time, which includes the Takács formula as a special case. It immediately results in the stochastic decompòsition property which can be found in the literature.

Keywords

MOMENTSMACLAURIN SERIESRECURSIVE FORMULA

MSC classification

Primary: 90B22: Queues and service
Secondary: 60K25: Queueing theory
Type
Research Article
Information
Journal of Applied Probability , Volume 31 , Issue 4 , December 1994 , pp. 1083 - 1097
Copyright
Copyright © Applied Probability Trust 1994 

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