Reliability analysis M/G/1 queues with general retrial times and server breakdowns*

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Advanced Queuing Theory Analysis Reliability and Maintenance Optimization Power System Reliability and Maintenance

Abstract

Abstract This paper concerns the reliability issues as well as queueing analysis M/G/1 retrial queues with general retrial times and server subject to breakdowns and repairs. We assume that the server is unreliable and customers who find the server busy or down are queued in the retrial orbit in accordance with a firs-come-first-served discipline. Only the customer at the head of the orbit queue is allowed for access to the server. The necessary and sufficient condition for the system to be stable is given. Using a supplementary variable method, we obtain the Laplace-Stieltjes transform of the reliability function of the server and a steady state solution for both queueing and reliability measures of interest. Some main reliability indexes, such as the availability, failure frequency, and the reliability function of the server, are obtained. * Supported by Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry, National Natural Science Foundation of China (Gran...

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References

1997Retrial Queues 1990A survey of retrial queues 1999Accessible bibliography on retrial queues 1999A classified bibliography of research on retrial queues: Progress in 1990–1999 1989A survey on retrial queues 2001Reliability Analysis of the Retrial Queue with Server Breakdowns and Repairs 1990Retrial queues with server subject to breakdowns and repairs 1999Stochastic analysis of a single server retrial queue with general retrial times

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