Abstract
A single server batch arrival retrial queue with se rver vacation under Bernoulli schedule is considere d. Arrivals are controlled according to the state of the server. The necessary and sufficient condition for the system to be stab le is derived. Explicit formulae for the stationary distributions and performance measur es of the system in steady state are obtained. Nume rical examples are presented to illustrate the influence of the parameters on se veral performance characteristics.
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