Resumen de A reflected fBm limit for asymptotically balanced fluid models with heavy tailed ON/OFF sources
We consider a family of non-deterministic fluid models similar to that introduced by Harrison in [3] as the deterministic fluid analog for an open multiclass network, but with the difference that we suppose the process of external arrivals to be a nondeterministic aggregated cumulative packet process generated by a large enough number of heavy tailed ON/OFF sources, N. Scaling in time by a factor r and in state space conveniently, and letting N and r approach infinity (in this order) we prove that the scaled immediate workload process converges to a reflected fractional Brownian motion (rfBm) under heavy traffic
