Eur. Phys. J. B 32, 411-414 (2003)
https://doi.org/10.1140/epjb/e2003-00123-6

Scale-free behavior of the Internet global performance

¹ International School for Advanced Studies SISSA/ISAS, via Beirut 4, 34014 Trieste, Italy
² Laboratoire de Physique Théorique (UMR du CNRS 8627) , bâtiment 210 Université de Paris-Sud 91405 Orsay Cedex, France

Corresponding author: ^a alexv@th.u-psud.fr

Received: 25 January 2003
Published online: 7 May 2003

Abstract

Measurements and data analysis have proved very effective in the study of the Internet's physical fabric and have shown heterogeneities and statistical fluctuations extending over several orders of magnitude. Here we focus on the relationship between the Round-Trip-Time (RTT) and the geographical distance. We define dimensionless variables that contain information on the quality of Internet connections finding that their probability distributions are characterized by a slow power-law decay signalling the presence of scale-free features. These results point out the extreme heterogeneity of Internet delay since the transmission speed between different points of the network exhibits very large fluctuations. The associated scaling exponents appear to have fairly stable values in different data sets and thus define an invariant characteristic of the Internet that might be used in the future as a benchmark of the overall state of “health” of the Internet.