An M/M/1 retrial queue with unreliable server

• Published in: Operations research letters Vol. 34; no. 6; pp. 697 - 705
• Main Authors: Sherman, Nathan P., Kharoufeh, Jeffrey P.
• Format: Journal Article
• Language: English
• 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

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...