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Large deviations of multiclassM/G/1 queues

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Publication:3645626
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DOI10.1002/cjs.10026zbMath1180.60076OpenAlexW2120110116MaRDI QIDQ3645626

Ji-Yeon Lee, David R. McDonald, André Robert Dabrowski

Publication date: 18 November 2009

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cjs.10026


zbMATH Keywords

rare eventsquasi-stationarityChange of measuremulticlass queues\(h\) transform


Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Large deviations (60F10) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)


Related Items

Exact asymptotics for the stationary distribution of a Markov chain: a production model



Cites Work

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  • Renewal theory for functionals of a Markov chain with general state space
  • Asymptotics of first passage times for random walk in an orthant
  • The \(M/G/1\) FIFO queue with several customer classes
  • Rare events for stationary processes.
  • On the M/G/1 Bernoulli feedback queue with multi-class customers
  • Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
  • Queue length distribution in a FIFO single-server queue with multiple arrival streams having different service time distributions
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