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

DOI10.1287/MOOR.1030.0083zbMath1082.60089OpenAlexW1967538757MaRDI QIDQ5704191

Tetsuya Takine

Publication date: 11 November 2005

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1287/moor.1030.0083

zbMATH Keywords

steady-state probabilitymatrix product-form solutiongeometric asymptotics

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Markov renewal processes, semi-Markov processes (60K15)

Related Items (10)

Light-tailed asymptotics of \(\mathrm{GI}/\mathrm{G}/1\)-type Markov chains ⋮ A note on the subexponential asymptotics of the stationary distribution of \(M/G/1\) type Markov chains ⋮ Unnamed Item ⋮ Asymptotics of the Invariant Measure of a Generalized Markov Branching Process ⋮ A sufficient condition for the subexponential asymptotics of GI/G/\(1\)-type Markov chains with queueing applications ⋮ TAIL PROBABILITIES IN QUEUEING PROCESSES ⋮ Subexponential asymptotics of the stationary distributions of M/G/1-type Markov chains ⋮ Light-Tailed Asymptotics of Stationary Tail Probability Vectors of Markov Chains of M/G/1 Type ⋮ Subexponential Asymptotics of the Stationary Distributions of GI/G/1-Type Markov Chains ⋮ Subexponential asymptotics of asymptotically block-Toeplitz and upper block-Hessenberg Markov chains

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