The probability of large queue lengths and waiting times in a heterogeneous multiserver queue II: Positive recurrence and logarithmic limits

DOI10.2307/1427839zbMath0829.60083OpenAlexW4231405217MaRDI QIDQ4842269

John S. Sadowsky

Publication date: 15 January 1996

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1427839

zbMATH Keywords

queueing theoryHarris recurrent Markov chains

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Queueing theory (aspects of probability theory) (60K25) Large deviations (60F10) Markov renewal processes, semi-Markov processes (60K15) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items

Large deviation analysis of the single server queue ⋮ Light tail asymptotics in multidimensional reflecting processes for queueing networks ⋮ Asymptotic analysis of queueing models based on synchronization method ⋮ Probabilities of Large Deviations for a Queue with Regenerative Input Flow ⋮ Logarithmic asymptotics for a single-server processing distinguishable sources ⋮ Maximum Values in Queueing Processes ⋮ Queue length asymptotics for the multiple-server queue with heavy-tailed Weibull service times ⋮ A unified approach for large queue asymptotics in a heterogeneous multiserver queue