Equilibrium distribution of block-structured Markov chains with repeating rows
1990 ◽
Vol 27
(03)
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pp. 557-576
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In this paper we consider two-dimensional Markov chains with the property that, except for some boundary conditions, when the transition matrix is written in block form, the rows are identical except for a shift to the right. We provide a general theory for finding the equilibrium distribution for this class of chains. We illustrate theory by showing how our results unify the analysis of the M/G/1 and GI/M/1 paradigms introduced by M. F. Neuts.
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2021 ◽
Vol 103
(3)
◽
pp. 53-62
2017 ◽
Vol 2017
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pp. 1-7
Keyword(s):
2015 ◽
Vol 25
(01n02)
◽
pp. 169-231
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Keyword(s):
Keyword(s):