Heavy-Traffic Analysis of a Data-Handling System with Many Sources

DOI10.1137/0151012zbMath0716.60115OpenAlexW1995638036MaRDI QIDQ3203824

John A. Morrison, Charles Knessl

Publication date: 1991

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0151012

zbMATH Keywords

asymptotic approximationheavy traffic casemaximum transmission ratemodel for data-handling

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

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Numerical methods for controlled and uncontrolled multiplexing and queueing systems ⋮ Controlled and optimally controlled multiplexing systems: A numerical exploration ⋮ A Gaussian fluid model ⋮ Stationary analysis for the fluid model driven by the \({\mathrm{M}/\mathrm{M}/c}\) working vacation queue ⋮ A small elliptic perturbation of a backward-forward parabolic problem with applications to stochastic models. ⋮ Finding the Conjugate of Markov Fluid Processes ⋮ State-dependent stochastic networks. I: Approximation and applications with continuous diffusion limits

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