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Queue size distribution in a discrete-time D-BMAP/G/1 retrial queue
- Authors
- Kim, Bara; Kim, Jeongsim
- Issue Date
- 7월-2010
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- D-BMAP/G/1 retrial queue; Queue size distribution; Tail asymptotics
- Citation
- COMPUTERS & OPERATIONS RESEARCH, v.37, no.7, pp.1220 - 1227
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMPUTERS & OPERATIONS RESEARCH
- Volume
- 37
- Number
- 7
- Start Page
- 1220
- End Page
- 1227
- ISSN
- 0305-0548
- Abstract
- 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.
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