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

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.