An M/M/1 retrial queue with unreliable server

An M/M/1 retrial queue with unreliable server

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Article ID: iaor20073141
Country: Netherlands
Volume: 34
Issue: 6
Start Page Number: 697
End Page Number: 705
Publication Date: Nov 2006
Journal: Operations Research Letters
Authors: ,
Keywords: M/M/1 queues, retrial queues
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.

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