Approximation of the invariant probability measure of an infinite stochastic matrix
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Publication:3886577
DOI10.2307/1426428zbMath0443.60030OpenAlexW1968252001MaRDI QIDQ3886577
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Publication date: 1980
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1426428
Discrete-time Markov processes on general state spaces (60J05) Queueing theory (aspects of probability theory) (60K25) Limit theorems in probability theory (60F99)
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Monotone infinite stochastic matrices and their augmented truncations ⋮ On the approximation of the stationary distribution of a monotone stochastic Markov chain ⋮ Weak stability bounds for approximations of invariant measures with applications to queueing ⋮ A new matrix-infinite-product-form solution for upper block-Hessenberg Markov chains and its quasi-algorithmic constructibility ⋮ Strong truncation approximation in tandem queues with blocking ⋮ Unnamed Item ⋮ A weak perturbation theory for approximations of invariant measures in M/G/1 model ⋮ Stationary Distributions of Continuous-Time Markov Chains: A Review of Theory and Truncation-Based Approximations ⋮ Mean buffer contents in discrete-time single-server queues with heterogeneous sources ⋮ Unnamed Item ⋮ Approximations to quasi-birth-and-death processes with infinite blocks ⋮ Limits for queues as the waiting room grows
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