Skip to main content

Estimation of Minimal Path Vectors of Multi-state Systems from Failure Data

  • Conference paper
ICT Innovations 2011 (ICT Innovations 2011)

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 150))

Included in the following conference series:

  • 870 Accesses

Abstract

Consider a multi-state system with n-components multi-state components with graduate failure. We give an algorithm for determining the minimal path set to level j for given minimal cut set of level j and it’s estimate for a given subset of failure vectors. We get an upper bound of the reliability function.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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.

Similar content being viewed by others

References

  1. Dharmadhikari, A., Kulathinal, S.B., Mandrekar, V.: An algoritam for estimation of minimal cut and path sets from field failure data. Statistics & Probability Letters 58, 1–11 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  2. Natvig, B.: Multi-state Reliability Theory, Statistical Research Report, Dept. of Math, vol. (1). University of Oslo (January 2007) ISSN 0806-3842

    Google Scholar 

  3. Natvig, B.: Two suggestions of how to define a multistate coherent system. Advances in Applied Probability 14, 434–455 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  4. Natvig, B., Srmo, S., Holen, A., Hgsen, G.: Multistate Reliability Theory - ACase Study. Advances in Applied Probability 18, 921–932 (1986)

    MathSciNet  Google Scholar 

  5. Crowder, M.J., Kimber, A.C., Smith, R.L., Sweeting, T.J.: Statistical analysis of reliability Data. Chapman and Hall, London (1991)

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Marija Mihova .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag GmbH Berlin Heidelberg

About this paper

Cite this paper

Mihova, M., Popeska, Z. (2012). Estimation of Minimal Path Vectors of Multi-state Systems from Failure Data. In: Kocarev, L. (eds) ICT Innovations 2011. ICT Innovations 2011. Advances in Intelligent and Soft Computing, vol 150. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28664-3_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-28664-3_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28663-6

  • Online ISBN: 978-3-642-28664-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics