Analysis of BMAP vacation queue and its application to IEEE 802.16e sleep mode
type: Item
instance of: scholarly article
title: Analysis of BMAP vacation queue and its application to IEEE 802.16e sleep mode
zbMATH Open document ID: 1242.90048
author: Zsolt Saffer
author: Miklós Telek
published in: Journal of Industrial and Management Optimization
publication date: 2011-12-28T00:00:00Z
review text: The paper considers a continuous-time BMAP/G/1 queue with multiple vacations, and then apply it to IEEE 802.16E sleep mode. When queue becomes empty (exhaustive service) the server takes vacation, and repeats it if finds queue empty again upon return. The vacation length distribution is general and moreover depends on the number of preceding vacations. By this reason, the model is called dependent multiple vacation model. Using matrix analytical approach the authors deduce expressions for the vector generating function of the stationary queue size and its mean. Moreover, new formulas for Laplace-Stieltjes transforms of the stationary virtual waiting time and for first two moments are given in case of FIFO discipline. Some numerical examples are included which illustrate in particular, dependence between mean packet delay or mean power savings and sleep interval steps and load, resp.
Mathematics Subject Classification ID: 90B18
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 68M20
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 5992079
zbMATH Keywords: queueing theory
zbMATH Keywords: multiple vacation model
zbMATH Keywords: BMAP
zbMATH Keywords: IEEE 802.16e sleep mode
reviewed by: Evsei Morozov
MaRDI profile type: Publication
full work available at URL: jimo.2010.6.661
OpenAlex ID: W2066262597
DOI: 10.3934/JIMO.2010.6.661
description: scientific article; zbMATH DE number 5992079