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

被引：7

作者：

Dudin, Alexander N. ^{[1
]}

Vishnevsky, Vladimir M. ^{[2
,3
]}

Sinjugina, Julia V. ^{[1
]}

机构：

[1] Belarusian State Univ, Dept Appl Math & Comp Sci, 4 Nezavisimosti Ave, Minsk 220030, BELARUS

[2] Russian Acad Sci, Inst Control Sci, Moscow, Russia

[3] Closed Corp Informat & Networking Technol, Moscow, Russia

来源：

TELECOMMUNICATION SYSTEMS | 2016年 / 61卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Performance; Queues applications; Queues theory; Telecommunications; POLLING SYSTEM; WIRELESS;

D O I：

10.1007/s11235-014-9946-8

中图分类号：

TN [电子技术、通信技术];

学科分类号：

0809 ;

摘要：

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.

引用

页码：403 / 415

页数：13

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