On Truncation of the Matrix-Geometric Stationary Distributions
Keyword(s):
In this paper, we study queueing systems with an infinite and finite number of waiting places that can be modeled by a Quasi-Birth-and-Death process. We derive the conditions under which the stationary distribution for a loss system is a truncation of the stationary distribution of the Quasi-Birth-and-Death process and obtain the stationary distributions of both processes. We apply the obtained results to the analysis of a semi-open network in which a customer from an external queue replaces a customer leaving the system at the node from which the latter departed.
1987 ◽
Vol 24
(04)
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pp. 965-977
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1978 ◽
Vol 10
(03)
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pp. 570-586
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Keyword(s):
2012 ◽
Vol 385
(2)
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pp. 677-682
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2006 ◽
Vol 2006
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pp. 1-15
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