Overflow behavior in queues with many long-tailed inputs

DOI10.1239/aap/1013540352zbMath0987.60094OpenAlexW2555678772MaRDI QIDQ2713162

Sem C. Borst, M. R. H. Mandjes

Publication date: 10 June 2002

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

Full work available at URL: https://semanticscholar.org/paper/035652ee4f0191cec9ac39c510c626ab0a4ed5f9

zbMATH Keywords

large deviation asymptoticsbuffer overflowreduced load approximationlong-tailed on periods

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items

Exact asymptotics for fluid queues fed by multiple heavy-tailed on-off flows., Per-flow structure of losses in a finite-buffer queue, Heavy loads and heavy tails, Convexity properties of loss and overflow functions., Network decomposition in the many-sources regime, A note on queues with M/G/\(\infty\) input, Asymptotic analysis of Lévy-driven tandem queues, Exact overflow asymptotics for queues with many Gaussian inputs, Generalized processor sharing queues with heterogeneous traffic classes