Diffusion approximations for re-entrant lines with a first-buffer-first-served priority discipline

DOI10.1007/BF01206556zbMath0879.60088MaRDI QIDQ1362310

Hong Chen, Han-Qin Zhang

Publication date: 28 January 1998

Published in: Queueing Systems (Search for Journal in Brave)

zbMATH Keywords

diffusion approximationheavy trafficmulticlass queueing networksemimartingale reflecting Brownian motionre-entrant lines

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Diffusion processes (60J60) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (7)

Heavy traffic limits for some queueing networks ⋮ A Fair Policy for the G/GI/N Queue with Multiple Server Pools ⋮ Convergence to equilibria for fluid models of head-of-the-line proportional processor sharing queueing networks ⋮ Diffusion approximation of a multitype re-entrant line under smaller-buffer-first-served policy ⋮ Reflected Brownian motion with drift in a wedge ⋮ RATE OF CONVERGENCE OF FLUID APPROXIMATION FOR RE-ENTRANT LINES UNDER FBFS DISCIPLINE ⋮ A sufficient condition for the positive recurrence of a semimartingale reflecting Brownian motion in an orthant

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