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The BMAP/PH/1 retrial queueing system operating in random environment
- Issue Date
- 1-Dec-2007
- Publisher
- ELSEVIER
- Keywords
- retrial queueing system; batch Markovian arrival process; phase-type service; Markovian random environment
- Citation
- JOURNAL OF STATISTICAL PLANNING AND INFERENCE, v.137, no.12, pp 3904 - 3916
- Pages
- 13
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF STATISTICAL PLANNING AND INFERENCE
- Volume
- 137
- Number
- 12
- Start Page
- 3904
- End Page
- 3916
- ISSN
- 0378-3758
1873-1171
- Abstract
- A single-server retrial queueing model with the batch Markovian arrival process and phase-type service time distribution is analyzed. The system has R operation modes which are switched by a Markovian random environment. The multi-dimensional Markov chain describing the behavior of the system is investigated by means of continuous time asymptotically quasi-toeplitz Markov chains. It allows to obtain a constructive form ergodicity condition and elaborate stable algorithms for calculating the stationary distribution. Main performance measures are computed. Numerical illustrations are presented. (c) 2007 Elsevier B.V. All rights reserved.
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