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
Vacation Queueing Models: Theory and Applications (International Series in Operations Research & Management Science)
Analysis of multi-server queue with synchronous vacations and gated discipline
Proceedings of the 6th International Conference on Queueing Theory and Network Applications
M/G/1 queue with exponential working vacation and gated service
ASMTA'11 Proceedings of the 18th international conference on Analytical and stochastic modeling techniques and applications
Delay analysis of wireless broadband networks with non real-time traffic
MACOM'11 Proceedings of the 4th international conference on Multiple access communications
Performance analysis of the IEEE 802.11 distributed coordination function
IEEE Journal on Selected Areas in Communications
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In this paper we consider the analysis of an M/D/1 vacation queue with periodically gated discipline. The motivation of introducing the new periodically gated discipline comes from the stochastic behavior of a kind of contention-based bandwidth reservation mechanism applied in wireless networks. The analysis utilizes a former result from polling model, which expresses the number of customers at arbitrary epoch in terms of the number of customers at start and end of vacations. The mean and the probability-generating function of the number of customers at arbitrary epoch are determined. In the last part of the paper we demonstrate the application of the model to the non real-time uplink traffic in IEEE 802.16-based wireless broadband networks.