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Queueing Systems, 2006
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.
Valentina I. Klimenok +1 more
openaire +4 more sources
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.
Valentina I. Klimenok +1 more
openaire +4 more sources
Fast algorithms for finding the solution of CUPL-Toeplitz linear system from Markov chain
Applied Mathematics and Computation, 2021Xiaoyu Jiang, Zhaolin Jiang
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Subexponential asymptotics of asymptotically block-Toeplitz and upper block-Hessenberg Markov chains
Queueing Systems, 2022Hiroyuki Masuyama
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Asymptotically good generalized quasi-cyclic codes over finite chain rings
Advances in Mathematics of Communications, 2023Fang-Wei Fu
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The quasi-birth-death type markov chain with a tree structure
Stochastic Models, 1999Raymond Yeung
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Discrepancy estimates for variance bounding Markov chain quasi-Monte Carlo
Electronic Journal of Probability, 2014Josef Dick, Daniel Rudolf
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Quasi-Radial Quasi-Homogeneous Symbols and Commutative Banach Algebras of Toeplitz Operators
Integral Equations and Operator Theory, 2010Nikolai Vasilevski
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Moments for stationary Markov chains with asymptotically zero drift
Siberian Mathematical Journal, 2011D A Korshunov
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