On the convergence of multiclass queueing networks in heavy traffic

DOI10.1214/AOAP/1177005199zbMath0797.60080OpenAlexW1978467794MaRDI QIDQ1327603

J. G. Dai, Vien Nguyen

Publication date: 18 July 1994

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

Full work available at URL: https://doi.org/10.1214/aoap/1177005199

zbMATH Keywords

queueing networksreflecting Brownian motionsheavy traffic limit theoremsassumptions on the network structureheavy traffic behavior of a general class of queueing networks

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Sample path properties (60G17) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Functional limit theorems; invariance principles (60F17)

Related Items (3)

Heavy traffic limits for some queueing networks ⋮ Diffusion approximations for re-entrant lines with a first-buffer-first-served priority discipline ⋮ A Brownian model for multiclass queueing networks with finite buffers

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