Rational Generating Functions and Matrix-Geometric Invariant Measures

DOI10.1080/15326340701645934zbMath1169.60023OpenAlexW2061229046MaRDI QIDQ3548756

B. Nagy, Karl-Heinz Förster

Publication date: 17 December 2008

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326340701645934

zbMATH Keywords

block Toeplitz matrixM/G/1 and G/M/1 type Markov chainsQBD process, rational generating functions

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Cites Work

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• A fundamental theorem on lambda-matrices with applications. I: Ordinary differential equations with constant coefficients
• A fundamental theorem on lambda-matrices with applications. II: Difference equations with constant coefficients
• Classes of linear operators. Vol. II
• Non-negative matrices and Markov chains.
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• Invariant measures for quasi-birth-and-death processes
• Matrix-geometric invariant measures for G/M/l type Markov chains
• On Linear Difference Equations

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