A reflected fBm limit for fluid models with ON/OFF sources under heavy traffic

Producción científica: Contribución a una revistaArtículoInvestigaciónrevisión exhaustiva

30 Citas (Scopus)

Resumen

We consider a family of non-deterministic fluid models that can be approximated under heavy traffic conditions by a multidimensional reflected fractional Brownian motion (rfBm). Specifically, we prove a heavy traffic limit theorem for multi-station fluid models with feedback and non-deterministic arrival process generated by a large enough number of heavy tailed ON/OFF sources, say 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 in some sense to a rfBm. © 2006 Elsevier Ltd. All rights reserved.
Idioma originalInglés
Páginas (desde-hasta)188-201
PublicaciónStochastic Processes and their Applications
Volumen117
DOI
EstadoPublicada - 1 feb 2007

Huella

Profundice en los temas de investigación de 'A reflected fBm limit for fluid models with ON/OFF sources under heavy traffic'. En conjunto forman una huella única.

Citar esto