Infinite block-structured transition matrices and their properties

DOI10.1239/aap/1035228074zbMath0910.60052OpenAlexW2138172375MaRDI QIDQ4210867

Yiqiang Q. Zhao, Wei Li, W. John Braun

Publication date: 19 April 1999

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/24788c40c235251ded5cc6f24392a2f452710cc0

zbMATH Keywords

censored Markov chainsblock-form matricesfactorization of generating functionsinfinite-state Markov chainsMarkov chains with repeating rows

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (13)

Light-tailed asymptotics of \(\mathrm{GI}/\mathrm{G}/1\)-type Markov chains ⋮ Computational analysis of \(GI^{[X}/D-MSP^{(a,b)}/1\) queueing system via \textit{RG}-factorization] ⋮ A geometric convergence formula for the level-increment-truncation approximation of \(M/G/1\)-type Markov chains ⋮ Stochastic monotonicity and comparability of Markov chains with block-monotone transition matrices and their applications to queueing systems ⋮ Heavy-traffic asymptotics for stationary GI/G/1-type Markov chains ⋮ Unnamed Item ⋮ The stationary tail asymptotics in the GI/G/1-type queue with countably many background states ⋮ Analyzing discrete-time \(GI^{[X}/D-MSP/1/\infty\) queueing system using \(RG\)-factorization] ⋮ Corrigendum to: ``Heavy-traffic asymptotics for stationary \(\mathrm{GI}/\mathrm{G}/1\)-type Markov chains ⋮ Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type ⋮ Subexponential Asymptotics of the Stationary Distributions of GI/G/1-Type Markov Chains ⋮ Error Bounds for Augmented Truncations of Discrete-Time Block-Monotone Markov Chains under Geometric Drift Conditions ⋮ Subexponential asymptotics of asymptotically block-Toeplitz and upper block-Hessenberg Markov chains

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