Internet traffic modelling: from superposition to scaling. Issue 1 (1st March 2014)

• Record Type: Journal Article
• Authors: Arfeen, Muhammad Asad; Pawlikowski, Krzysztof; Willig, Andreas; McNickle, Don
• Is Part Of: IET networks. Volume 3:Issue 1(2014)
• Page Start: 30
• Page End: 40
• Publication Date: 2014-03-01
• Subjects: telecommunication traffic -- Internet -- statistical analysis -- telecommunication network routing -- Weibull distribution -- Pareto distribution -- queueing theory; Internet traffic modelling -- service provider tiers -- traffic superposition -- active traffic mixture -- statistical properties -- scaling phenomenon -- network performance -- queuing -- traffic engineering -- telecommunication network routing -- network dimensioning -- bandwidth provisioning -- nonasymptotic framework -- point process -- cumulative input traffic process -- telecommunication devices -- switch device -- scaling dynamics -- structural components -- packet component -- flow component -- session component -- cumulative input process -- point process superposition -- renewal theory‐based approximate point process models -- Pareto renewal process superposition -- Weibull renewal process superposition -- second‐order scaling -- traffic data -- router device; Computer network architectures -- Periodicals; Computer network protocols -- Periodicals; Information networks -- Periodicals; Telecommunication systems -- Periodicals; 004.605
• DOI: 10.1049/iet-net.2013.0148
• Languages: English
• ISSNs: 2047-4954

Abstract

Abstract : Internet traffic at various tiers of service providers is essentially a superposition or active mixture of traffic from various sources. Statistical properties of this superposition and a resulting phenomenon of scaling are important for network performance (queuing), traffic engineering (routing) and network dimensioning (bandwidth provisioning). In this article, the authors study the process of superposition and scaling jointly in a non‐asymptotic framework so as to better understand the point process nature of cumulative input traffic process arriving at telecommunication devices (e.g., switches, routers). The authors further assess the scaling dynamics of the structural components (packets, flows and sessions) of the cumulative input process and their relation with superposition of point processes. Classical and new results are discussed with their applicability in access and core networks. The authors propose that renewal theory‐based approximate point process models, that is, Pareto renewal process superposition and Weibull renewal process superposition can model the similar second‐order scaling, as observed in traffic data of access and backbone core networks, respectively.