Large deviation properties of data streams that share a buffer

DOI10.1214/aoap/1028903374zbMath0939.60020OpenAlexW2038735012WikidataQ114599163 ScholiaQ114599163MaRDI QIDQ1296716

Paul Dupuis, Kavita Ramanan

Publication date: 5 July 2000

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

Full work available at URL: https://doi.org/10.1214/aoap/1028903374

zbMATH Keywords

Skorokhod problemfluid modelslarge deviationsrate functiondata networksbandwidths

Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) Large deviations (60F10)

Related Items (8)

Largest weighted delay first scheduling: Large deviations and optimality ⋮ Large deviations and queueing networks: Methods for rate function identification ⋮ Sample path moderate deviations for the cumulative fluid produced by an increasing number of exponential on-off sources ⋮ Control of end-to-end delay tails in a multiclass network: LWDF discipline optimality ⋮ Large deviations: An introduction to 2007 Abel prize ⋮ Large deviation properties of constant rate data streams sharing a buffer with long-range dependent traffic in critical loading ⋮ Large deviations for acyclic networks of queues with correlated Gaussian inputs ⋮ Large deviation properties of data streams that share a buffer

Cites Work

• Effective bandwidths at multi-class queues
• Large deviation properties of data streams that share a buffer
• Dynamical systems and variational inequalities
• Lyapunov functions for semimartingale reflecting Brownian motions
• A new technique for analyzing large traffic systems
• On lipschitz continuity of the solution mapping to the skorokhod problem, with applications
• An introduction to the theory of large deviations
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