TITLE:
Properties of the Estimators for the Effective Bandwidth in a Generalized Markov Fluid Model
AUTHORS:
José Bavio, Beatriz Marrón
KEYWORDS:
Markov Sources, Traffic Analysis, Effective Bandwidth
JOURNAL NAME:
Open Journal of Statistics,
Vol.8 No.1,
February
2,
2018
ABSTRACT: The Generalized Markov Fluid Model (GMFM), introduced in [1], is assumed for modeling
sources in the network because it is versatile to describe the traffic
fluctuations. In order to estimate resources allocations or in other words the
channel occupation of each source, the concept of effective bandwidth proposed
by Kelly [2] is used. In this paper, we
present a formula for calculating the effective bandwidth, developed for the
Generalized Markovian Flow model, which is of particular interest because it
allows expressing said magnitude depending on the parameters of the model. We
present unbiased estimators for these parameters that can be obtained from real
data. The convergence and the consistency of the estimation are studied, and
confidence bands are found. Illustrative calculation and performance of the
proposed estimators were tested with simulated data and ideal results were
obtained.