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Moments of the queue size distribution in the MAP/G/1 retrial queue
- Authors
- Kim, Jeongsim; Kim, Bara; Kim, Jerim
- Issue Date
- 7월-2010
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- MAP/G/1 retrial queue; Queue size distribution; Perron-Frobenius eigenvalue; Perron-Frobenius eigenvector
- Citation
- COMPUTERS & OPERATIONS RESEARCH, v.37, no.7, pp.1212 - 1219
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMPUTERS & OPERATIONS RESEARCH
- Volume
- 37
- Number
- 7
- Start Page
- 1212
- End Page
- 1219
- ISSN
- 0305-0548
- Abstract
- We consider an MAP/G/1 retrial queue. A necessary and sufficient condition is obtained for the existence of the moments of the queue size distribution. The condition is expressed in terms of the moment condition for a service time distribution. In addition, we provide recursive formulas for the moments of the queue size distribution. Numerical examples are given to illustrate our results. (C) 2009 Elsevier Ltd. All rights reserved.
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