Subexponential asymptotics of asymptotically block-Toeplitz and upper block-Hessenberg Markov chains (Q2095033)

scientific article; zbMATH DE number 7613930

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English	Subexponential asymptotics of asymptotically block-Toeplitz and upper block-Hessenberg Markov chains	scientific article; zbMATH DE number 7613930

Statements

instance of

scholarly article

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title

Subexponential asymptotics of asymptotically block-Toeplitz and upper block-Hessenberg Markov chains (English)

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published in

Queueing Systems

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publication date

9 November 2022

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zbMATH Keywords

subexponential asymptotics

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upper block-Hessenberg Markov chain

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asymptotically block-Toeplitz structure

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retrial queue

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balking queue

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full work available at URL

https://doi.org/10.1007/s11134-022-09857-5

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cites work

Q4692768

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Fundamentals of Matrix-Analytic Methods

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A new matrix-infinite-product-form solution for upper block-Hessenberg Markov chains and its quasi-algorithmic constructibility

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A sequential update algorithm for computing the stationary distribution vector in upper block-Hessenberg Markov chains

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Computing the conditional stationary distribution in Markov chains of level-dependent M/G/1-type

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Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory

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AnRG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue

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Q4221392

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Analysis and computation of the stationary distribution in a special class of Markov chains of level-dependent \(\mathrm{M}/\mathrm{G}/1\)-type and its application to \(\mathrm{BMAP}/\mathrm{M}/\infty\) and \(\mathrm{BMAP}/\mathrm{M}/c+\mathrm{M}\) queues

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Tail asymptotics for the queue size distribution in the \(MAP/G/1\) retrial queue

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Tail asymptotics for the queue length in an M/G/1 retrial queue

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The queue length in an \(M/G/1\) batch arrival retrial queue

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On the asymptotic behaviour of the stationary distribution of markov chains of M/G/1-type

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Q4945341

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Tail asymptotics for M/G/1-type queueing processes with light-tailed increments

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Geometric and Subexponential Asymptotics of Markov Chains of M/G/1 Type

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Light-Tailed Asymptotics of Stationary Tail Probability Vectors of Markov Chains of M/G/1 Type

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Tail asymptotics for M/G/1 type queueing processes with subexponential increments

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Subexponential asymptotics of the stationary distributions of M/G/1-type Markov chains

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A note on the subexponential asymptotics of the stationary distribution of \(M/G/1\) type Markov chains

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Heavy-tailed asymptotics of stationary probability vectors of Markov chains of gi/g/1 type

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Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type

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Subexponential Asymptotics of the Stationary Distributions of GI/G/1-Type Markov Chains

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A sufficient condition for the subexponential asymptotics of GI/G/\(1\)-type Markov chains with queueing applications

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Markov Chains

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Infinite block-structured transition matrices and their properties

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Applied Probability and Queues

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An Introduction to Heavy-Tailed and Subexponential Distributions

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Subexponential asymptotics of a Markov-modulated random walk with queueing applications

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Identifiers

zbMATH Open document ID

1501.60036

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Mathematics Subject Classification ID

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10.1007/S11134-022-09857-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:2095033