Self-similar and fractal nature of Internet traffic

International Journal of Network Management

Volumn 14, Issue 2, 2004, Pages 119-129

  Chakraborty, Debasish ^c   Ashir, Ahmed ^a,b   Suganuma, Takuo ^c   Mansfield Keeni, G ^c,d   Roy, T K ^e   Shiratori, N ^c  

^a AVAYA LABS RESEARCH   (United States)

^b NTT CORPORATION   (Japan)

^c TOHOKU UNIVERSITY   (Japan)

^d Cyber Solutions Inc   (Japan)

^e SAHA INSTITUTE OF NUCLEAR PHYSICS   (India)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; DATA REDUCTION; INDUSTRIAL RESEARCH; MATHEMATICAL MODELS; PROBLEM SOLVING; RANDOM PROCESSES; TELECOMMUNICATION TRAFFIC;

INTERNET TRAFFIC; MULTIFRACTALS;

INTERNET;

EID: 1842508033     PISSN: 10557148     EISSN: None     Source Type: Journal    
DOI: 10.1002/nem.512     Document Type: Article

References (26)

1. Takayasu M, Takayasu H, Sato T. Critical behaviors and 1/f noise in information traffic, Physica A233 1996; 824-834.
2. Takayasu M, Takayasu H, Fukuda K. Dynamic phase transition observed in the Internet traffic flow. Physica A277 2000; 248-255.
3. Fukuda K, Takayasu H, Takayasu M. Origin of critical behavior in Ethernet traffic. Physica A287 2000; 289-301.
4. Leland WE, Taqqu MS, Willinger W, Wilson DV. On the self-similar nature of Ethernet traffic. IEEE/ACM Transactions on Networking Feb. 1994; 2(1): 1-15. (Data collected from: http://ita.ee.lbl.gov/html/contrib/BC.html.)
5. Casabi I. L/f noise in computer network traffic. J. Phys. A: Math. Gen. 1994; 27: L417-L421.
6. Paxson V, Floyd S. Wide area traffic: the failure of Poisson modeling. IEEE/ACM Transactions on Networking June 1995; 3(3): 226. (Data collected from:http://ita.ee.lbl.gov/html/contrib/{DEC-PKT, LBL-TCP-3, LBL-PKT}.html.)
7. Crovella ME, Bestavros A. Self-similarity in World Wide Web traffic - evidence and possible causes. In Proceedings of Sigmetrics'96, 1996; 160-169.
8. Willinger W, Taqqu MS, Sherman R, Wilson DV. Self-similarity through high variability: statistical analysis of Ethernet lan traffic at the source level. IEEE/ACM Transactions Networking 1997; 5: 71-86.
9. Adler R, Feldman R, Taqqu MS. A practical guide to heavytails (Self-similarity and heavy tails: Structural modeling of network traffic). Birkhauser, Boston, February 1998.
10. Taqqu MS, Teverovsky V, Willinger W. Is network traffic self-similar or multifractal? Fractals 1997; 5: 63.
11. Feldmann A, Gilbert AC, Willinger W, Kurtz TG. The changing nature of network traffic: scaling phenomena. In ACM SIGCOMM98 1998; Comp. Comm. Rev. April 1998; 28(2): 5-29.
12. Caldarelli G, Marchetti R, Pietronero L. The fractal properties of Internet. Europhysics Letters 2000; 52: 386-992.
13. Mandlebrot BB, Van Ness JW. Fractional Brownian motions, fractional noises and applications. SIAM Rev. 1968; 10: 422.
14. WIDE group, http://tracer.csl.sony.co.jp/mawi/(mawi of wide).
15. Data from Shiratori Laboratory RIEC, Tohoku University, (available on request, http://www.shiratori.riec.tohoku.ac.jp/).
16. Hurst HE, Black R, Simaika Y. Long-term storage: An Experimental Study. London: Constable, 1965.
17. Willinger W, Paxson V. Where mathematics meets the Internet. Notices of the Am. Math. Soc. Sept. 1998; 8(45): 961.
18. Schuster HG. Deterministic chaos: An introduction, 3rd edn. John Wiley & Sons, March 1995.
19. Addison PS. Fractals and chaos: An illustrated course. Institute of Physics Publishing, Sept. 1997.
20. Briggs, J. Fractals: the patterns of chaos. Simon and Schuster, New York, Oct. 1992.
21. Box GEP, Jenkins GM, Reinsel GC. Time series analysis: forcasting and control, 3rd Edn. Prentice Hall, New Jersey, February 1994.
22. Mansfield G, Ohta K, Takei Y, Kato N, Nemoto Y. Towards trapping wily intruders at large. Computer Networks 2000; 34: 659.
23. Ashir A, Suganuma T, Kinoshita T, Roy TK, Mansfield G, Shiratori N. Network traffic characterization and network information services - R&D on JGN. Computer Communication 2001; 24: 1734-1743.
24. Mansfield G, Roy TK, Shiratori N. Self-similar and fractal nature of Internet traffic data. In Proceedings of the 15th International Conference on Information Networking, Beppu City, Kyushu, Japan Jan.-Feb. 2001; 227-231.
25. Ashir A, Chakraborty D, Roy TK, Mansfield G, Shiratori N. Some characteristics of traffic data. In Proceedings of the International Conference on Electrical and Engineering, ICECE 2001, Dhaka, Bangladesh January 2001; 226-229.
26. Roy TK, Chakraborty D, Ashir A, Mansfield G, Shiratori N. Characteristcs of Internet traffic data. Workshop on Multimedia and Distributed Processing, Tokyo, Japan, 2000; 12: 75-80.