Ergodicity of quasi-birth and death processes. I

DOI10.1007/s10114-005-0619-0zbMath1113.93103OpenAlexW2024249953MaRDI QIDQ884878

Xiaohua Li, Zhen Ting Hou

Publication date: 7 June 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0619-0

zbMATH Keywords

ergodicityMarkov chainquasi-birth and death processmatrix geometric solutions

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Stochastic stability in control theory (93E15)

Related Items (2)

The spectral gap for quasi-birth and death processes ⋮ Several types of convergence rates of the \(M/G/1\) queueing system

Cites Work

• Algebraic convergence for discrete-time ergodic Markov chains
• Continuous-time Markov chains. An applications-oriented approach
• Explicit criteria for several types of ergodicity of the embedded M/G/1 and GI/M/n queues
• Strong ergodicity of monotone transition functions
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