Multi-dimensional quasi-Toeplitz Markov chains (Q1566523)
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scientific article; zbMATH DE number 1452753
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multi-dimensional quasi-Toeplitz Markov chains |
scientific article; zbMATH DE number 1452753 |
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Multi-dimensional quasi-Toeplitz Markov chains (English)
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26 April 2001
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Summary: This paper deals with multidimensional quasi-Toeplitz Markov chains. We establish a sufficient equilibrium condition and derive a functional matrix equation for the corresponding vector-generating function, whose solution is given algorithmically. The results are demonstrated in the form of examples and applications in queues with BMAP-input, which operate in synchronous random environment.
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quasi-Toeplitz Markov chain
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batch Markovian arrival process
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synchronous random environment
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