Heavy-traffic approximations for a layered network with limited resources

zbMath1393.60105arXiv1701.03370MaRDI QIDQ4578308

Jiheng Zhang, Angelos Aveklouris, Bert Zwart, Maria Vlasiou

Publication date: 8 August 2018

Full work available at URL: https://arxiv.org/abs/1701.03370

zbMATH Keywords

diffusion approximationheavy trafficfluid modellimited processor sharinglayered queueing network

Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) Queueing theory (aspects of probability theory) (60K25) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (2)

Bounds and limit theorems for a layered queueing model in electric vehicle charging ⋮ On partially homogeneous nearest-neighbour random walks in the quarter plane and their application in the analysis of two-dimensional queues with limited state-dependency

Cites Work

• Unnamed Item
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• Marginal queue length approximations for a two-layered network with correlated queues
• Diffusion limits of limited processor sharing queues
• Steady state approximations of limited processor sharing queues in heavy traffic
• Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse
• State space collapse with application to heavy traffic limits for multiclass queueing networks
• Web server performance modeling
• Diffusion approximation for a processor sharing queue in heavy traffic.
• Heavy-traffic asymptotics for networks of parallel queues with Markov-modulated service speeds
• Law of Large Number Limits of Limited Processor-Sharing Queues
• Some Useful Functions for Functional Limit Theorems
• The solution of certain two-dimensional Markov models
• The stochastic rendezvous network model for performance of synchronous client-server-like distributed software
• A Stochastic Network Under Proportional Fair Resource Control—Diffusion Limit with Multiple Bottlenecks
• Stochastic Calculus
• Stability of Data Networks: Stationary and Bursty Models

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