Analysis of polling systems
Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
M/M/1 queues with working vacations (M/M/1/WV)
Performance Evaluation
M/G/1 queue with multiple working vacations
Performance Evaluation
Analysis of the M/G/1 queue with exponentially working vacations--a matrix analytic approach
Queueing Systems: Theory and Applications
A batch arrival queue with exponential working vacations
Proceedings of the 5th International Conference on Queueing Theory and Network Applications
Stochastic decompositions in the M/M/1 queue with working vacations
Operations Research Letters
Analysis of a GI/M/1 queue with multiple working vacations
Operations Research Letters
Analysis of periodically gated vacation model and its application to IEEE 802.16 network
ASMTA'12 Proceedings of the 19th international conference on Analytical and Stochastic Modeling Techniques and Applications
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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.