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Performance analysis of the queue with gated servicing and adaptive vacations

โœ Scribed by V.M. Vishnevsky; A.N. Dudin; O.V. Semenova; V.I. Klimenok


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
566 KB
Volume
68
Category
Article
ISSN
0166-5316

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โœฆ Synopsis


A queueing model of the BMAP/G/1 type with gated servicing and vacations depending on the state of the system is analysed. The queue stationary distributions at the instants of gate switching on and at arbitrary time as well as of a customer waiting time are computed. This model may prove useful for tuning the parameters of the adaptive polling mechanism applicable in the broadband wireless Wi-Fi and WiMax networks.


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โœ Mian Zhang; Zhengting Hou ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 576 KB

In this paper, an M/G/1 queue with a working vacations and vacation interruption is analyzed. Using the method of a supplementary variable and the matrix-analytic method, we obtain the queue length distribution and service status at an arbitrary epoch under steady state conditions. Further, we provi