Moments of the queue size distribution in the MAP/G/1 retrial queue

Kim, Jeongsim; Kim, Bara; Kim, Jerim

doi:10.1016/j.cor.2009.04.007

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Moments of the queue size distribution in the MAP/G/1 retrial queue

Kim, Jeongsim;
Kim, Bara;
Kim, Jerim

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4

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5

초록

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.

키워드

MAP/G/1 retrial queue; Queue size distribution; Perron-Frobenius eigenvalue; Perron-Frobenius eigenvector; MARKOVIAN ARRIVAL PROCESS; BMAP/G/1; CHAINS; SYSTEM

제목: Moments of the queue size distribution in the MAP/G/1 retrial queue

저자: Kim, Jeongsim; Kim, Bara; Kim, Jerim

DOI: 10.1016/j.cor.2009.04.007

발행일: 2010-07

유형: Article

저널명: Computers and Operations Research

권: 37

호: 7

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