Quality of service parameters and link operating point estimation based on effective bandwidths

Abstract

This work addresses the estimation and calculation of the operating point of a network's link in a digital traffic network. The notion of operating point comes from Effective Bandwidth (EB) theory. The results are valid for a wide range of traffic types. This means that the statistical characteristics of the traffic may be very general. We show that, given a good EB estimator, the operating point, i.e. the values of time and space (or multiplexing) parameters in which the EB gives the asymptotic overflow probability, can also be accurately estimated. Imposing some regularity conditions, a consistent estimator and confidence intervals of the operating point are developed. These conditions are very general, and they are met by commonly used estimators as the averaging estimator presented in [2] or the Markov Fluid model estimator presented in [10]. Using a software package developed by our workgroup that estimates the EB and other relevant parameters from traffic traces, simulation results are compared with the analytical results, showing very good fitting.

Estimação de Probabilidade de Perda de Dados em Redes Através de Modelagem Multifractal de Tráfego e Teoria de Muitas Fontes

“…Seja a função Λ n (s, t) uma estimativa de Λ(s, t) = E(e sX ), a função geradora de momento de um processo X(t). Pode-se afirmar que o par de variáveis (s * n , t * n ) é um estimador consistente de (s * , t * ), dado pelas seguintes equações [33]:…”

Performance Bounds for a Cascade based Multifractal Traffic Model with Generalized Multiplier Distributions

“…The parameter θ in (44) and (45), can be determined through the operating point (t * , θ * ), i.e., the values of time t and space parameter θ for which the effective bandwidth is related to the asymptotic overflow probability [46]. Determination of θ as the operating point θ * guarantees a tighter performance bound.…”

Jitter Characterization in Admission Control and Pricing Issues in Integrated Multiservice Networks

“…* Dynamic pricing: the price is in general per unit of resource and varies with the network state. The effective bandwidth pricing is a dynamic pricing scheme based on the concept of effective bandwidth [8][9][10][11][12][13][14] . Basically, the idea is to apply a tariff including a price per unit of time, a price per unit of volume and a connection price.…”