Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory (Q855178)
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scientific article; zbMATH DE number 5081650
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory |
scientific article; zbMATH DE number 5081650 |
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Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory (English)
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4 January 2007
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The paper proposes a new definition of the discrete-time multi-dimensional asymptotically quasi-Toeplitz Markov chains (AQTMC). It presents the stability and instability conditions and describes an algorithm for calculating the stationary distribution. An application to BMAP/SM/1 type retrial queues is briefly illustrated. The continuous AQTMC are presented along with an illustrative result using BMAP/PH/N retrial queueing model.
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Multi-dimensional Markov chains
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ergodicity
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