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Self‐similar and fractal nature of Internet traffic
Author(s) -
Chakraborty D.,
Ashir A.,
Suganuma T.,
Mansfield Keeni G.,
Roy T. K.,
Shiratori N.
Publication year - 2004
Publication title -
international journal of network management
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.373
H-Index - 28
eISSN - 1099-1190
pISSN - 1055-7148
DOI - 10.1002/nem.512
Subject(s) - self similarity , fractal , hurst exponent , computer science , fractal dimension , the internet , internet traffic , statistical physics , similarity (geometry) , fractal analysis , feature (linguistics) , data mining , artificial intelligence , statistics , mathematics , physics , world wide web , mathematical analysis , linguistics , geometry , philosophy , image (mathematics)
The self‐similar bursty Internet traffic is usually characterized by the Hurst parameter (H). Such a process is also seen to possess fractal characteristics in time described by a parameter (β), with multifractals in most cases. We observe that these highly stochastic traffics have fractals in flow density too, described by a fractal dimension (D), also with the possibiliy of multifractals as in the former. This requires another parameter for the description of Internet traffic, besides the usual self‐similarity parameter β or H and the different simulations or models worked out to understand the Internet traffic to reproduce the characteristics as found in the present work. We also find a notable self‐similarity feature of the autocorrelations in the data and its aggregates, in all the cases studied. Copyright © 2004 John Wiley & Sons, Ltd.