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

Authors:
Łukasz Kruk
Affiliations:
Institute of Mathematics, Maria Curie-Skłodowska University, 20-031 Lublin, Poland
Venue:
Mathematics of Operations Research
Year:
2011

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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.