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Several types of convergence rates of the \(M/G/1\) queueing system

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Publication:1956118
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DOI10.1155/2013/809460zbMath1264.90060OpenAlexW2012467867WikidataQ58921876 ScholiaQ58921876MaRDI QIDQ1956118

Xiaohua Li, Jun-Gang Li

Publication date: 13 June 2013

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/809460



Mathematics Subject Classification ID

Queues and service in operations research (90B22)




Cites Work

  • Ergodicity of quasi-birth and death processes. I
  • Necessary conditions for geometric and polynomial ergodicity of random-walk-type Markov chains
  • Polynomial convergence rates of Markov chains
  • Practical drift conditions for subgeometric rates of convergence.
  • Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré
  • Subgeometric Rates of Convergence of f-Ergodic Markov Chains
  • Explicit criteria for several types of ergodicity of the embedded M/G/1 and GI/M/n queues
  • Geometric Convergence Rates for Stochastically Ordered Markov Chains
  • Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type
  • Several Types of Ergodicity for M/G/1-Type Markov Chains and Markov Processes
  • Heavy-tailed asymptotics of stationary probability vectors of Markov chains of gi/g/1 type
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