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A note on the subexponential asymptotics of the stationary distribution of M/G/1 type Markov chains
- Authors
- Kim, Bara; Kim, Jeongsim
- Issue Date
- 1-7월-2012
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Queueing; M/G/1 type Markov chain; Subexponential asymptotics; Stationary distribution
- Citation
- EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, v.220, no.1, pp.132 - 134
- Indexed
- SCIE
SCOPUS
- Journal Title
- EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
- Volume
- 220
- Number
- 1
- Start Page
- 132
- End Page
- 134
- ISSN
- 0377-2217
- Abstract
- Masuyama (2011) obtained the subexponential asymptotics of the stationary distribution of an M/G/1 type Markov chain under the assumption related to the periodic structure of G-matrix. In this note, we improve Masuyama's result by showing that the subexponential asymptotics holds without the assumption related to the periodic structure of G-matrix. (C) 2012 Elsevier B.V. All rights reserved.
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