Properties of the Estimators for the Effective Bandwidth in a Generalized Markov Fluid Model

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.

A Random Access Scheme for Aggregate Traffic Based on Deep Fusion of Supermartingale and Improved SSA

“…The effective bandwidth refers to the minimum service rate that the system needs to provide under given statistical QoS requirements [6]. In [7], a corresponding formula is proposed to calculate the effective bandwidth of the generalized Markovian flow. For the Long Term Evolution (LTE) downlink, the authors of [8] propose a scheme to allocate resource blocks based on the estimation of the effective bandwidth of traffic.…”