An M/M/1 retrial queue with unreliable server

We analyze an unreliable M/M/1 retrial queue with infinite-capacity orbit and normal queue. Retrial customers do not rejoin the normal queue but repeatedly attempt to access the server at i.i.d. intervals until it is found functioning and idle. We provide stability conditions as well as several stoc...

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Published inOperations research letters Vol. 34; no. 6; pp. 697 - 705
Main Authors Sherman, Nathan P., Kharoufeh, Jeffrey P.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.11.2006
Elsevier
Subjects
Applied sciences
Breakdowns
Exact sciences and technology
Operational research and scientific management
Operational research. Management science
Queuing theory. Traffic theory
Retrial queue
Stochastic decomposition
Breakdowns
Retrial queue
Stochastic decomposition
Feedback queue
M M 1 queue
Retrieval systems
Breakdown
Mathematical model
Queue
Stochastic Décomposition
Online AccessGet full text

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Abstract We analyze an unreliable M/M/1 retrial queue with infinite-capacity orbit and normal queue. Retrial customers do not rejoin the normal queue but repeatedly attempt to access the server at i.i.d. intervals until it is found functioning and idle. We provide stability conditions as well as several stochastic decomposability results.
AbstractList We analyze an unreliable M/M/1 retrial queue with infinite-capacity orbit and normal queue. Retrial customers do not rejoin the normal queue but repeatedly attempt to access the server at i.i.d. intervals until it is found functioning and idle. We provide stability conditions as well as several stochastic decomposability results.
Author Sherman, Nathan P.
Kharoufeh, Jeffrey P.
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Cites_doi 10.1080/15326349608807394
10.1007/BF01158474
10.1016/0026-2714(93)90003-H
10.1016/S0307-904X(02)00061-6
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Issue 6
Keywords Breakdowns
Retrial queue
Stochastic decomposition
Feedback queue
M M 1 queue
Retrieval systems
Breakdown
Mathematical model
Queue
Stochastic Décomposition
Language English
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Snippet We analyze an unreliable M/M/1 retrial queue with infinite-capacity orbit and normal queue. Retrial customers do not rejoin the normal queue but repeatedly...
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elsevier
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StartPage 697
SubjectTerms Applied sciences
Breakdowns
Exact sciences and technology
Operational research and scientific management
Operational research. Management science
Queuing theory. Traffic theory
Retrial queue
Stochastic decomposition
Title An M/M/1 retrial queue with unreliable server
URI https://dx.doi.org/10.1016/j.orl.2005.11.003
Volume 34
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