The BMAP/PH/1 retrial queueing system operating in random environment

Kim, Che Soong; Klimenok, Valentina; Lee, Sang Cheon; Dudin, Alexander

doi:10.1016/j.jspi.2007.04.009

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The BMAP/PH/1 retrial queueing system operating in random environment

Kim, Che Soong;
Klimenok, Valentina;
Lee, Sang Cheon;
Dudin, Alexander

Citations

WEB OF SCIENCE

13

Citations

SCOPUS

16

초록

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.

키워드

retrial queueing system; batch Markovian arrival process; phase-type service; Markovian random environment; ARRIVALS; BMAP/G/1

제목: The BMAP/PH/1 retrial queueing system operating in random environment

저자: Kim, Che Soong; Klimenok, Valentina; Lee, Sang Cheon; Dudin, Alexander

DOI: 10.1016/j.jspi.2007.04.009

발행일: 2007-12-01

유형: Article; Proceedings Paper

저널명: Journal of Statistical Planning and Inference

권: 137

호: 12

페이지: 3904 ~ 3916

언어: ENG

출판사: ELSEVIER

발행국가: 네덜란드

분량: 13 페이지

ISSN: E 1873-1171
P 0378-3758