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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Bibliographic Details
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
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Summary: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.
ISSN:0167-6377
1872-7468
DOI:10.1016/j.orl.2005.11.003