On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable Queue

On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable Queue

This paper studies a discrete-time N-policy Geo/G/1 queueing system with feedback and repairable server. With a probabilistic analysis method and renewal process theory, the steady-state system size distribution is derived. Further, the steady-state system size distribution derived in this work is e...

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Main Authors: Renbin Liu, Zhaohui Deng
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/924712
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spelling doaj-875f11e478904f958def8e5598f9cdac2020-11-24T21:46:30ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/924712924712On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable QueueRenbin Liu0Zhaohui Deng1School of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, ChinaSchool of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, ChinaThis paper studies a discrete-time N-policy Geo/G/1 queueing system with feedback and repairable server. With a probabilistic analysis method and renewal process theory, the steady-state system size distribution is derived. Further, the steady-state system size distribution derived in this work is extremely suitable for numerical calculations. Numerical example illustrates the important application of steady-state system size distribution in system capacity design for a network access proxy system.http://dx.doi.org/10.1155/2014/924712
collection DOAJ
language English
format Article
sources DOAJ
author Renbin Liu
Zhaohui Deng
spellingShingle Renbin Liu
Zhaohui Deng
On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable Queue
Discrete Dynamics in Nature and Society
author_facet Renbin Liu
Zhaohui Deng
author_sort Renbin Liu
title On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable Queue
title_short On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable Queue
title_full On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable Queue
title_fullStr On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable Queue
title_full_unstemmed On the Steady-State System Size Distribution for a Discrete-Time Geo/G/1 Repairable Queue
title_sort on the steady-state system size distribution for a discrete-time geo/g/1 repairable queue
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2014-01-01
description This paper studies a discrete-time N-policy Geo/G/1 queueing system with feedback and repairable server. With a probabilistic analysis method and renewal process theory, the steady-state system size distribution is derived. Further, the steady-state system size distribution derived in this work is extremely suitable for numerical calculations. Numerical example illustrates the important application of steady-state system size distribution in system capacity design for a network access proxy system.
url http://dx.doi.org/10.1155/2014/924712
work_keys_str_mv AT renbinliu onthesteadystatesystemsizedistributionforadiscretetimegeog1repairablequeue
AT zhaohuideng onthesteadystatesystemsizedistributionforadiscretetimegeog1repairablequeue
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