A. M. Dukhovny, "Markov chains with quasitoeplitz transition matrix: applications", International Journal of Stochastic Analysis, vol. 3, Article ID 767438, 12 pages, 1990. https://doi.org/10.1155/S1048953390000120
Markov chains with quasitoeplitz transition matrix: applications
Application problems are investigated for the Markov chains with quasitoeplitz transition matrix. Generating functions of transient and steady state probabilities, first zero hitting probabilities and mean times are found for various particular cases, corresponding to some known patterns of feedback ( warm-up, switch at threshold etc.), Level depending dams and queue-depending queueing systems of both and types with arbitrary random sizes of arriving and departing groups are studied.
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