Markov chains with quasi-Toeplitz transition matrix: Applications (Q923529)
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scientific article; zbMATH DE number 4169825
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Markov chains with quasi-Toeplitz transition matrix: Applications |
scientific article; zbMATH DE number 4169825 |
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Markov chains with quasi-Toeplitz transition matrix: Applications (English)
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1990
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Summary: Application problems are investigated for the Markov chains with quasi- Toeplitz 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 M/G/1 and GI/M/1 types with arbitrary random sizes of arriving and departing groups are studied.
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Generating functions
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steady state probabilities
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Level-depending dams
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queue-depending queueing systems
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