Abstract

Large deviation 1 and fractal geometry 47 theories are used in this paper to build a new mathematical model based on fractals for network traffic profiles. This results in a sizing formula which gives the effective link or node capacity required on the network for accommodating a given traffic profile on the basis of available statistics. Statistical analyses on the basis of spectral density theory confirm that SITA's ∗ ∗ SITA: Société Internationale de Télécommunications Aéronautiques. SITA owns and operates the world's largest international data communication network. network traffic has a fractal quality. Traffic profiles are simulated on the basis of fractional Brownian motion; this confirms the validity of the sizing formula. Practical methods are provided for measuring the quantities used in the study.

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