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On M/G/1 queues with exhaustive service and generalized vacations

Part of: Special processes Operations research and management science

Published online by Cambridge University Press:  01 July 2016

Huan Li  and
Yixin Zhu
Huan Li*
Affiliation:
State University of New York at Buffalo
Yixin Zhu*
Affiliation:
BNR Inc., Richardson, Texas
*
* Postal address: Department of Industrial Engineering, State University of New York at Buffalo, Buffalo, NY 14260, USA.
** Postal address: Department of Systems Engineering, BNR Inc., Richardson, TX 75082, USA.
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Abstract

We consider M/G/1 queues with exhaustive service and generalized vacations, where at the end of every busy period the server either follows a mixed vacation policy from a given vacation policy set or stays idle. A simple recursive formula for the moments of the stationary waiting time is provided. This formula results in the decomposition property for our model immediately. It also enables us to derive many existing results for the M/G/1 queues with various vacation policies.

Keywords

SERVER VACATIONSMOMENTSRECURSIVE FORMULAS

MSC classification

Primary: 90B22: Queues and service
Secondary: 60K25: Queueing theory
Type
General Applied Probability
Information
Advances in Applied Probability , Volume 27 , Issue 2 , June 1995 , pp. 510 - 531
Copyright
Copyright © Applied Probability Trust 1995 

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