Existence condition for the diffusion approximations of multiclass priority queueing networks

DOI10.1023/A:1010952012771zbMath0982.60089MaRDI QIDQ5948161

Heng Qing Ye, Hong Chen

Publication date: 31 October 2001

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

zbMATH Keywords

diffusion approximationqueueing networksreflecting Brownian motionpriority service disciplinesemimartingale

Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) Queues and service in operations research (90B22) Functional limit theorems; invariance principles (60F17) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (5)

Justifying diffusion approximations for multiclass queueing networks under a moment condition ⋮ Unnamed Item ⋮ On the analysis of the virtual waiting time in open queueing networks ⋮ Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits ⋮ State space collapse for multi-class queueing networks under SBP service policies

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