Queue size distribution in a discrete-time D-BMAP/G/1 retrial queue

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초록

We consider a discrete-time batch Markovian arrival process (D-BMAP)/G/1 retrial queue. We find the light-tailed asymptotics for the stationary distributions of the number of customers at embedded epochs and at arbitrary time. Using these tail asymptotics we propose a method for calculating the stationary distributions of the number of customers at embedded epochs and at arbitrary time. Numerical examples are presented to illustrate our results. (C) 2009 Published by Elsevier Ltd.

키워드

D-BMAP/G/1 retrial queueQueue size distributionTail asymptoticsTAIL ASYMPTOTICS
제목
Queue size distribution in a discrete-time D-BMAP/G/1 retrial queue
저자
Kim, BaraKim, Jeongsim
DOI
10.1016/j.cor.2009.04.016
발행일
2010-07
유형
Article
저널명
Computers and Operations Research
37
7
페이지
1220 ~ 1227