A new technique for analyzing large traffic systems

DOI10.2307/1427310zbMath0596.60093OpenAlexW2164987607MaRDI QIDQ3729791

Alan Weiss

Publication date: 1986

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

Full work available at URL: https://doi.org/10.2307/1427310

zbMATH Keywords

extreme valuestheory of large deviationscontrol schemesrare events in large traffic systems

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

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Sample path large deviations for queues with many inputs ⋮ Large Deviations for Complex Buffer Architectures: The Short-Range Dependent Case ⋮ Exponential bounds for queues with Markovian arrivals ⋮ Poisson convergence, in large deviations, for the superposition of independent point processes ⋮ Exact multivariate workload asymptotics ⋮ 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, the shape of the loss curve, and economies of scale in large multiplexers ⋮ The Gibbs principle for Markov jump processes ⋮ Effective banwidths for the multi-type UAS channel ⋮ A heavy-traffic comparison of shared and segregated buffer schemes for queues with the head-of-line processor-sharing discipline ⋮ A unified set of proposals for control and design of high speed data networks ⋮ Sample-path large deviations for tandem and priority queues with Gaussian inputs ⋮ Finding the Conjugate of Markov Fluid Processes ⋮ Large deviations for acyclic networks of queues with correlated Gaussian inputs ⋮ A Note on the Benefits of Buffering ⋮ Asymptotic expansions for Markov processes with Lévy generators ⋮ On the Dependence Structure of Gaussian Queues ⋮ Exact overflow asymptotics for queues with many Gaussian inputs ⋮ Self-reinforcing mechanisms and market information ⋮ Overflow Asymptotics for large Communications Systems with General Markov Fluid Sources ⋮ Some Large Deviations Results in Markov Fluid Models ⋮ Large deviation properties of data streams that share a buffer ⋮ Analysis and design of rate-based congestion control of high speed networks. I: Stochastic fluid models, access regulation ⋮ Large deviations without principle: join the shortest queue

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