Analysis of the BMAP/G/1 queue with gated service and adaptive vacations duration

Alexander N. Dudin (), Vladimir M. Vishnevsky () and Julia V. Sinjugina ()
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Alexander N. Dudin: Belarusian State University
Vladimir M. Vishnevsky: Institute of Control Sciences of Russian Academy of Sciences and Closed Corporation “Information and Networking Technologies”
Julia V. Sinjugina: Belarusian State University

Telecommunication Systems: Modelling, Analysis, Design and Management, 2016, vol. 61, issue 3, No 1, 403-415

Abstract: Abstract We consider a BMAP/G/1 type queueing model with gated service and duration of vacations depending on how many times in turn the system was empty at the previous vacation completion moments. We compute stationary distributions of the queue length at the embedded moments (vacation completions) and at arbitrary time as well as of a customer waiting time. The results of our analysis can be useful for determining strategy of adaptive choosing duration of sleep periods, e.g., in mobile networks where power consumption is an important issue.

Keywords: Performance; Queues applications; Queues theory; Telecommunications (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11235-014-9946-8

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