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

DOI10.1016/J.EJOR.2012.01.016zbMath1253.90078OpenAlexW1979294724MaRDI QIDQ1926712

Bara Kim, Jeongsim Kim

Publication date: 29 December 2012

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2012.01.016

zbMATH Keywords

queueingstationary distributionsubexponential asymptotics\(M/G/1\) type Markov chain

Mathematics Subject Classification ID

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

Related Items (4)

Light-tailed asymptotics of \(\mathrm{GI}/\mathrm{G}/1\)-type Markov chains ⋮ A sufficient condition for the subexponential asymptotics of GI/G/\(1\)-type Markov chains with queueing applications ⋮ 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

Cites Work

• Appendix: A primer on heavy-tailed distributions
• Subexponential asymptotics of the stationary distributions of M/G/1-type Markov chains
• A stable recursion for the steady state vector in markov chains of m/g/1 type
• Subexponential asymptotics of a Markov-modulated random walk with queueing applications
• Geometric and Subexponential Asymptotics of Markov Chains of M/G/1 Type
• Unnamed Item

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