Skip to main content

How self-similar processes persistence determines the queue length distribution moments

  • Conference paper
Multimedia Communications

Abstract

In this paper we compare the queue performances of three different traces with gaussian marginals generated using the discrete-time Fractional Gaussian Noise algorithm [1]. We have introduced some additional features in one out of the three traces generation process to have less dependence on very large time scale (as it is the case in video traffic).

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • F. H.-M. Chen, J. Mellor, P. Mars, “Comparisons of simulation algorithms for self-similar traffic models”, in Proc. 13th IEE UK Teletraffic Symposium. Glasgow, U.K., 1996

    Google Scholar 

  • M. W. Garret W. Willinger, “Analysis, modelling and generation of self-similar vbr traffic”, in Proc. ACM Sigcomm ’94, London, U.K., 1994, pp. 269–280

    Google Scholar 

  • B. B. Mandelbrot and J. W. Van Ness, “Fractional Brownian motions, fractional noises and applications”, SIAM Review, vol. 10, pp. 422–437, 1998

    Article  Google Scholar 

  • A. Erramilli, O. Narayan, W. Willinger, “Experimental queueing analysis with long range dependent packet traffic”, IEEE/ACM Trans. Networking, vol. 4, n. 2, pp. 209–223, 1996

    Article  Google Scholar 

  • S. Li and J. D. Pruneski, “The linearity of low frequency traffic flow: an intrinsic property in queueing system”, IEEE/ACM Trans. Networking, vol. 5, n. 3, pp. 429–443, 1997

    Article  Google Scholar 

  • I. Norros. “A storage model with self-similar input”, Queueing Syst., vol. 16, pp. 387–396, 1994

    Article  MathSciNet  MATH  Google Scholar 

  • N. G. Duffield O’ Connell, “Large deviations and overflow probabilities for the general single-server queue, with applications”, in Math, Proc. Cambridge Philos. Soc., 1995. pp. 363–375

    Google Scholar 

  • P. R. Jelenkovic, A. A. Lazar, N. Semret; “The effect of multiple time scales and subexponentiality in MPEG video streams on queueing behaviour, IEEE J. Select. Areas Commun., vol. 15. n. 6, pp. 1052–1071, 199

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag

About this paper

Cite this paper

Costamagna, E., Iacovoni, G., Isopi, M. (1999). How self-similar processes persistence determines the queue length distribution moments. In: De Natale, F., Pupolin, S. (eds) Multimedia Communications. Springer, London. https://doi.org/10.1007/978-1-4471-0859-7_30

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-0859-7_30

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-135-1

  • Online ISBN: 978-1-4471-0859-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics