Control policies of an M/G/1 queueing system with a removable and non-reliable server

Control policies of an M/G/1 queueing system with a removable and non-reliable server

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Article ID: iaor20041249
Country: United Kingdom
Volume: 9
Issue: 2
Start Page Number: 195
End Page Number: 212
Publication Date: Mar 2002
Journal: International Transactions in Operational Research
Authors: ,
Keywords: M/G/1 queues
Abstract:

This paper considers a single non-reliable server in the ordinary M/G/1 queueing system whose arrivals form a Poisson process and service times are generally distributed. We also study a single removable and non-reliable server in the controllable M/G/1 queueing systems operating under the N policy, the T policy and the Min(N, T) policy. It is assumed that the server breaks down according to a Poisson process and the repair time has a general distribution. In three control policies, we show that the probability that the server is busy in the steady-state is equal to the traffic intensity. It is shown that the optimal N policy and the optimal Min(N, T) policy are always superior to the optimal T policy. Sensitivity analysis is also investigated.

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