Buffer overflow asymptotics for a buffer handling many traffic sources

DOI10.2307/3215366zbMath0866.60083OpenAlexW1986154514MaRDI QIDQ4716111

Costas Courcoubetis, Richard R. Weber

Publication date: 18 December 1996

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

Full work available at URL: https://doi.org/10.2307/3215366

zbMATH Keywords

large deviationseffective bandwidthsbuffer overflow asymptoticsMarkov modulated fluid

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Deterministic network models in operations research (90B10) Large deviations (60F10) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (11)

Sample path large deviations for queues with many inputs ⋮ Large Deviations for Complex Buffer Architectures: The Short-Range Dependent Case ⋮ Queueing systems fed by many exponential on-off sources: an infinite-intersection approach ⋮ Per-flow structure of losses in a finite-buffer queue ⋮ Convexity properties of loss and overflow functions. ⋮ Network decomposition in the many-sources regime ⋮ Sample-path large deviations for tandem and priority queues with Gaussian inputs ⋮ Bandwidth estimation for best-effort internet traffic ⋮ Loss bounds for a finite-capacity queue based on interval-wise traffic observation ⋮ Large deviations for acyclic networks of queues with correlated Gaussian inputs ⋮ Exact overflow asymptotics for queues with many Gaussian inputs

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