Convexity properties of loss and overflow functions.

DOI10.1016/S0167-6377(02)00191-8zbMath1088.90010MaRDI QIDQ1413899

Krishnan Kumaran, Alexander L. Stolyar, M. R. H. Mandjes

Publication date: 17 November 2003

Published in: Operations Research Letters (Search for Journal in Brave)

zbMATH Keywords

Large deviationsQueueing theoryTrade-off between network resources

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

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Cites Work

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• How to improve the performance of ATM multiplexers
• Large deviations, the shape of the loss curve, and economies of scale in large multiplexers
• Overflow behavior in queues with many long-tailed inputs
• Cell loss asymptotics for buffers fed with a large number of independent stationary sources
• Smoothing effect of the superposition of homogeneous sources in tandem networks
• Buffer overflow asymptotics for a buffer handling many traffic sources
• The buffer-bandwidth trade-off curve is convex

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