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Erschienen in:
2011 | OriginalPaper | Buchkapitel
M/G/1 Queue with Exponential Working Vacation and Gated Service
verfasst von : Zsolt Saffer, Miklós Telek
Erschienen in: Analytical and Stochastic Modeling Techniques and Applications
Verlag: Springer Berlin Heidelberg
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In this paper we consider the analysis of an
M
/
G
/1 queue with working vacation. In contrast to the previous literature where the working vacation starts when all customers are served (exhaustive discipline) we consider the case where the vacation period starts when the customers present at the system at beginning of the service period are served (gated discipline). The analysis of the model with gated discipline requires a different approach than the one with exhaustive discipline.
We present the probability-generating function of the number of customers in the system and the Laplace-Stieljes transform of the stationary waiting time.