Skip to main content

PhFit: A General Phase-Type Fitting Tool

  • Conference paper
  • First Online:
Computer Performance Evaluation: Modelling Techniques and Tools (TOOLS 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2324))

Abstract

PhFit, a new Phase-type fitting tool is presented in this paper. The presented tool is novel from several aspects. It allows for approximating distributions or set of samples not only by continuous but by discrete Phase-type distributions as well. The implemented algorithms separate the fitting of the body and the tail part of the distribution which results in satisfactory fitting also for heavy-tail distributions. Moreover, PhFit allows the user to choose the distance measure according to which the fitting is performed.

This work was partially supported by Hungarian Scientific Research Fund (OTKA) under Grant No. T-34972.

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

  1. A. Bobbio, A. Horváth, M. Scarpa, and M. Telek. Acyclic discrete phase type distributions: Properties and a parameter estimation algorithm. Technical Report of Budapest University of Technology and Economics, 2000.

    Google Scholar 

  2. A. Cumani. On the canonical representation of homogeneous Markov processes modelling failure-time distributions. Microelectronics and Reliability, 22:583–602, 1982.

    Article  Google Scholar 

  3. A. Feldman and W. Whitt. Fitting mixtures of exponentials to long-tail distributions to analyze network performance models. Performance Evaluation, 31:245–279, 1998.

    Article  Google Scholar 

  4. A. Horváth and M. Telek. Approximating heavy tailed behavior with phase type distributions. In 3rd International Conference on Matrix-Analytic Methods in Stochastic models, Leuven, Belgium, 2000.

    Google Scholar 

  5. A. Lang and J. L. Arthur. Parameter approximation for phase-type distributions. In S. R. Chakravarty and A. S. Alfa, editors, Matrix-analytic methods in stochastic models, pages 151–206. Marcel Dekker, Inc., 1996.

    Google Scholar 

  6. EPA-HTTP Trace, The Internet Traffic Archive. http://ita.ee.lbl.gov. Collected by Laura Bottomley (laurab@ee. duke. edu) of Duke University.

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Horváth, A., Telek, M. (2002). PhFit: A General Phase-Type Fitting Tool. In: Field, T., Harrison, P.G., Bradley, J., Harder, U. (eds) Computer Performance Evaluation: Modelling Techniques and Tools. TOOLS 2002. Lecture Notes in Computer Science, vol 2324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46029-2_5

Download citation

  • DOI: https://doi.org/10.1007/3-540-46029-2_5

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43539-6

  • Online ISBN: 978-3-540-46029-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics