Analysis of an unreliable single server batch arrival queue with two types of services under Bernoulli vacation policy

This article deals with an unreliable bulk arrival single server queue rendering two-heterogeneous optional repeated service (THORS) with delayed repair, under Bernoulli Vacation Schedule (BVS) and N-policy. For this model, the joint distribution of the server's state and queue length are derived under both elapsed and remaining times. Further, probability generating function (PGF) of the queue size distribution along with the mean system size of the model are determined for any arbitrary time point and service completion epoch, besides various pivotal system characteristics. A suitable linear cost structure of the underlying model is developed, and with the help of a difference operator, a locally optimal N-policy at a lower cost is obtained. Finally, numerical experiments have been carried out in support of the theory.

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Analysis of an unreliable single server batch arrival queue with two types of services under Bernoulli vacation policy

Cited by 6 publications

References 9 publications

Reliability Analysis of a Batch Arrival Poisson Input Queue with Two Kinds of Heterogeneous Service and a General Start-Up Time Under $$N-policy$$

Reliability Analysis of a Batch Arrival Poisson Input Queue with Two Kinds of Heterogeneous Service and a General Start-Up Time Under $$N-policy$$

Analysis of an $$M/\begin{pmatrix}G_1\\ G_2\end{pmatrix}/1$$ Queue with Bernoulli Vacation and Server Breakdown

Analysis of a bulk arrival N-policy queue with two-service genre, breakdown, delayed repair under Bernoulli vacation and repeated service policy

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