An Open Queueing Network with Asymptotically Stable Fluid Model and Unconventional Heavy Traffic Behavior

An Open Queueing Network with Asymptotically Stable Fluid Model and Unconventional Heavy Traffic Behavior

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Article ID: iaor20118541
Volume: 36
Issue: 3
Start Page Number: 538
End Page Number: 551
Publication Date: Aug 2011
Journal: Mathematics of Operations Research
Authors:
Keywords: fluid queue, queueing networks
Abstract:

We provide an example of a feedforward first‐in‐system, first‐out (FISFO) queueing network with unconventional, i.e., non‐Brownian, heavy traffic diffusion approximation. We also prove that fluid models of subcritical feedforward earliest‐deadline‐first (EDF) queueing networks are asymptotically stable.

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