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Asymptotic behavior of the loss probability for an M/G/1/N queue with vacations
In this paper, asymptotic properties of the loss probability are considered
for an M/G/1/N queue with server vacations and exhaustive service discipline,
denoted by an M/G/1/N -(V, E)-queue. Exact asymptotic rates of the loss
probability are obtained for the cases in which the traffic intensity is
smaller than, equal to and greater than one, respectively. When the vacation
time is zero, the model considered degenerates to the standard M/G/1/N queue.
For this standard queueing model, our analysis provides new or extended
asymptotic results for the loss probability. In terms of the duality
relationship between the M/G/1/N and GI/M/1/N queues, we also provide
asymptotic properties for the standard GI/M/1/N model