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Optimal trajectory to overflow in a queue fed by a large number of sources

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Publication:1294082
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DOI10.1023/A:1019154129708zbMath0963.90018OpenAlexW1488043170MaRDI QIDQ1294082

Ad Ridder, M. R. H. Mandjes

Publication date: 10 September 2000

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019154129708


zbMATH Keywords

calculus of variationsqueueing theorylarge deviations asymptoticsbuffer overflowATM multiplexersMarkov fluid sourcesperiodic sources


Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov and semi-Markov decision processes (90C40)


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Sample path large deviations for queues with many inputs ⋮ Queueing systems fed by many exponential on-off sources: an infinite-intersection approach ⋮ Sample path moderate deviations for the cumulative fluid produced by an increasing number of exponential on-off sources ⋮ Large deviations without principle: join the shortest queue



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