A Brownian model for multiclass queueing networks with finite buffers

DOI10.1016/S0377-0427(01)00556-8zbMath1003.60085OpenAlexW2166592472MaRDI QIDQ1612360

Wan-yang Dai

Publication date: 22 August 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00556-8

zbMATH Keywords

heavy trafficblockingreflecting Brownian motion

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (1)

Convolutional neural network based simulation and analysis for backward stochastic partial differential equations

Cites Work

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• Analysis and design of rate-based congestion control of high speed networks. I: Stochastic fluid models, access regulation
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• On the convergence of multiclass queueing networks in heavy traffic
• A sufficient condition and a necessary condition for the diffusion approximations of multiclass queueing networks under priority service disciplines
• Tandem queues with general blocking: A unified model and comparison results
• A heavy traffic limit theorem for a class of open queueing networks with finite buffers
• The finite element method for computing the stationary distribution of an SRBM in a hypercube with applications to finite buffer queueing networks
• Multiple channel queues in heavy traffic. I

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