Skip to main content

Validation of Variance Based Fitting for Self-similar Network Traffic

  • Conference paper
  • First Online:
Fractals, Wavelets, and their Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 92))

  • 1749 Accesses

Abstract

Most of the classical self-similar traffic models are asymptotic in nature. Hence, they are not suitable for queuing based performance evaluation. In this paper, we have validated further fitting method of CMMPP emulating self-similar traffic by means of IDC. We conclude from the numerical examples that self-similar traffic can be well represented by the proposed model.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Anderson, A.T., Nielsen, B.F.: A Markovian approach for modeling packet traffic with long range dependence. IEEE J. Sel. Areas Commun. 16(5), 719–732 (1998)

    Article  Google Scholar 

  2. Blondia, C.: The N/G/l finite capacity queue. Commun. Stat. Stoch. Models 5, 273–294 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  3. Crovella, M., Bestavros, A.: Self-similarity in World Wide Web traffic: evidence and possible causes. IEEE/ACM Trans. Netw. 5(6), 835–846 (1997)

    Article  Google Scholar 

  4. De Cock, K., Van Gestel, T., De Moo, B.: Identification of circulant modulated poisson process a time domain approach. Proceedings of MTNS’98, (1998)

    Google Scholar 

  5. Kasahara, S.: “Internet traffic modelling: Markovian approach to self-similar traffic and prediction of loss probability for finite queues”, Special Issue on Internet Technology. IEICE Trans. Commun. E84-B(8), 2134–2141 (2001)

    Google Scholar 

  6. Leland, W.E., Taqqu, M.S., Willinger, W., Wilson, D.V.: On the self-similar nature of ethernet traffic (extended version). IEEE/ACM Trans. Netw. 2, 1–15 (1994)

    Article  Google Scholar 

  7. Paxson, V., Floyd, S.: Wide area traffic: the failure of Poisson modeling. IEEE/ACM Trans. Netw. 3, 226–244 (1995)

    Article  Google Scholar 

  8. Ranadheer, D., Ramesh, R., Rajaiah, D., Malla Reddy, P.: Self-similar network traffic modeling using circulant Markov modulated poisson process (CMMPP)(Manuscript). Communicated to International conference on Fractals and Wavelets

    Google Scholar 

  9. Shao, S.K., Perati, M.R., Tsai, M.G., Tsao, H.W., Wu, J.: Generalized variance-based Markovian fitting for self-similar traffic modeling. IEICE Trans. Commun. E88-B(12), 4659–4663 (2005)

    Article  Google Scholar 

  10. Yoshihara, T., Kasahara, S., Takahashi, Y.: Practical time-scale fitting of self-similar traffic with Markov-modulated Poisson process. Telecommun. Syst. 17, 185–211 (2001)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Malla Reddy Perati .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Renikunta, R., Dasari, R., Donthi, R., Perati, M.R. (2014). Validation of Variance Based Fitting for Self-similar Network Traffic. In: Bandt, C., Barnsley, M., Devaney, R., Falconer, K., Kannan, V., Kumar P.B., V. (eds) Fractals, Wavelets, and their Applications. Springer Proceedings in Mathematics & Statistics, vol 92. Springer, Cham. https://doi.org/10.1007/978-3-319-08105-2_28

Download citation

Publish with us

Policies and ethics