Discussion of the Analysis of Self-similar Teletraffic with Long-range Dependence (LRD) at the Network Layer Level

Abstract

Traffic streams, sources as well as aggregated traffic flows, often exhibit long-range-dependent (LRD) properties. This paper presents the theoretical foundations to justify that the behavior of traffic in a high-speed computer network can be modeled from a self-similar perspective by limiting its scope of analysis to the network layer, since the most relevant properties of self-similar processes are consistent for use in the formulation of traffic models when performing this specific task.

Application of the Analysis of Self-similar Teletraffic with Long-range Dependence (LRD) at the Network Layer Level

“…This paper presents an experimental application that validates the hypothesis of [1]. Considering a real network scenario implemented under IEEE standard 802.3u, traffic capture experiments are performed and then analyzed, restricting the results according to the precepts presented above as well as in [1]. This paper is therefore centered on showing the validity of the analysis of restricted self-similar traffic at the network layer level as a simple and efficient tool to study the behavior of traffic flow in present day high speed computer networks.…”

“…Also, application level self-similar traffic can be managed in the context of the resource assignment admission control subjected to service quality guarantees, since it is independent of the network conditions through which it is sent. This paper presents an experimental application that validates the hypothesis of [1]. Considering a real network scenario implemented under IEEE standard 802.3u, traffic capture experiments are performed and then analyzed, restricting the results according to the precepts presented above as well as in [1].…”

“…To clarify the above two assertions, [1] made an exhaustive background review that includes research proposals and their results as well as the mathematical foundations underlying all of them. However, a basic idea remains unfinished: if all the arguments given do nothing more than highlight the benefits and advantages of the parsimonious modeling of traffic flow in current high speed network environments, then why is there dissent on its use?, and even more important yet, why do all the results deal with self-similarity as ubiquitous not only on the time scales, a fact that is certainly not put in doubt, but also with respect to the set of circumstances attributable to its origin?…”

Un modelo multifractal simplificado para flujos de tráfico autosimilares

“…Las propiedades que evidencian la naturaleza de origen fractal de los flujos de tráfico en las redes de computadoras de alta velocidad, es un tema que ha sido ampliamente reportado en la literatura durante las últimas dos décadas; constituyendo una opinión generalizada el hecho de que su comportamiento dinámico re-escalado debe ser cuidadosamente atendido en los análisis de rendimiento y control. Existen, de esta forma, numerosas explicaciones y modelos que intentan entregar una respuesta a este origen [1]- [3].…”

Un modelo multifractal simplificado para flujos de tráfico en redes de computadoras de alta velocidad

“…Las propiedades que evidencian la naturaleza de origen fractal de los flujos de tráfico en las redes de computadoras de alta velocidad son un tema que ha sido ampliamente estudiado y reportado en la literatura durante las últimas dos décadas, constituyendo una opinión generalizada el hecho de que su comportamiento dinámico reescalado debe ser cuidadosamente atendido en los análisis de rendimiento y control. Existen, de esta forma, numerosas explicaciones y modelos que intentan responder a este origen [1][2][3].…”