Optimal policy for bulk queue with multiple types of server breakdown

Madhu Jain · Praveen Kumar Agrawal

22 citations0/0 files storedInternational Journal of Operational Research

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Advanced Queuing Theory Analysis Reliability and Maintenance Optimization Age of Information Optimization

Abstract

In this paper, an unreliable server MX/M/1 queueing system with multiple types of server breakdowns under N-policy is considered. Breakdowns occur only when the server is in busy state and each type of breakdown requires a random number of finite stages of repair. It is assumed that the lifetimes and phase repair time of the server for the individual stage are exponentially distributed. Matrix-geometric method is employed to obtain the mean queue length and other system characteristics. We perform extensive numerical experiment to demonstrate the effect of various parameters on the system performance characteristics.

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References

1962A Waiting Line with Interrupted Service, Including Priorities 1971Characterization and Computation of Optimal Policies for Operating an M/G/1 Queuing System with Removable Server 1978Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector 2004An M/G/1 queue with second optional service and server breakdowns 2003The optimal control of an M/G/1 queueing system with server vacations, startup and breakdowns☆2000A vacation queueing model with service breakdowns 2006Batch arrival queues under vacation policies with server breakdowns and startup/closedown times 1995Optimal operation of a markovian queueing system with a removable and non-reliable server

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