Skip to main content

An efficient method for probability evaluation of a fault-tree

  • Contributed Papers
  • Conference paper
  • First Online:
Book cover System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 197))

  • 1313 Accesses

Abstract

This paper proposes a new method for fault-tree probabilities evaluation. The method is based on Shanon's factorization of boolean binary functions using the repeated basic events as pivot. Examples taken from the literature are used to show the efficiency of our method in comparison with other methods.

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. K.K. Lee, “A compilation technique for exact system reliability”. IEEE Trans. Reliab., Vol R-30, 1981 Aug, pp. 284–288.

    Article  Google Scholar 

  2. N. Limnios “Arbres de défaillance”, Editions Hermes, 1991.

    Google Scholar 

  3. M. Modarres, H. Dezfuli, “A truncation methodology for evaluating large fault trees”, IEEE Trans. Reliab., Vol. R-33, 1984 Oct., pp 325–328.

    Article  Google Scholar 

  4. L.B. Page, J.E. Perry, “An algorithm for exact fault-tree probabilities without cut sets”, IEEE Trans. Reliab. Vol. R-35, No 5, Dec. 1986, pp. 544–558.

    Article  Google Scholar 

  5. W.G. Shneeweiss, “Disjooint boolean product via Shanon's expansion”, IEEE Trans. Reliab. Vol. R-33, No4, Oct. 1984, pp. 329–332.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jacques Henry Jean-Pierre Yvon

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag

About this paper

Cite this paper

Odeh, K., Limnios, N. (1994). An efficient method for probability evaluation of a fault-tree. In: Henry, J., Yvon, JP. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035544

Download citation

  • DOI: https://doi.org/10.1007/BFb0035544

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19893-2

  • Online ISBN: 978-3-540-39337-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics