A Batch Arrival Unreliable Server Bernoulli Vacation Queue with Two Phases of Service and Delayed Repair
نویسندگان
چکیده
This paper deals with batch arrival unreliable queue with two phases of service and vacation under Bernoulli vacation schedule, which consist of a breakdown period and a delay period. For this model, we first derive the joint distribution of state of the server and queue size, which is one of the chief objectives of this paper. Secondly, we derive the pgf of the stationary queue size distribution at a departure epoch. Next, we derive the Laplace Stieltjes transform of busy period distribution and waiting time distribution. Finally, we obtain some important performance measures and reliability indices of this model Keywords Stationary queue size distribution, random breakdown, repair time, delay time, Bernoulli vacation and Reliability index.
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