An M/M/1 retrial queue with unreliable server

Authors:
Nathan P. Sherman;Jeffrey P. Kharoufeh
Affiliations:
Department of Operational Sciences, Air Force Institute of Technology, 2950 Hobson Way (AFIT/ENS), Wright Patterson AFB, OH 45433-7765, USA;Department of Operational Sciences, Air Force Institute of Technology, 2950 Hobson Way (AFIT/ENS), Wright Patterson AFB, OH 45433-7765, USA
Venue:
Operations Research Letters
Year:
2006

Citing 5
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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.