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Published in: Forschung im Ingenieurwesen 4/2017

23-06-2017 | Originalarbeiten/Originals

Bootstrap Monte Carlo Simulation of Reliability and Confidence Level with Periodical Maintenance

Authors: Frank Müller, Peter Zeiler, Bernd Bertsche

Published in: Forschung im Ingenieurwesen | Issue 4/2017

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Abstract

The bootstrap Monte Carlo simulation (BMCS) is presented as a new method for determining the reliability and confidence level of a general technical system with periodical maintenance. The method can be implemented on the basis of pure samples of failure times or of the mean value distributions in combination with the corresponding sample size of reliability. The BMCS does not require special distribution types and facilitates both the prediction and demonstration of reliability.
Firstly, the bootstrap method for determining a confidence interval of a distribution function is investigated in order to verify the use of BMCS as a new method. The confidence level calculated by bootstrapping is therefore to be compared with the confidence level based on the beta-distribution. The accuracy of the BMCS shall subsequently be investigated by observing a component with periodical renewal. The confidence level of the reliability with periodical renewal calculated using the BMCS will be compared with the confidence level determined using the method of moments. Finally, a parameter study is carried out, and a case study as well as the potential of the BMCS shall be presented.

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Literature
1.
go back to reference Yang G (2007) Reliability engineering. Wiley & Sons, Hoboken Yang G (2007) Reliability engineering. Wiley & Sons, Hoboken
2.
go back to reference Zeiler P, Bertsche B (2015) Zur Berechnung der Systemzuverlässigkeit mit Aussagewahrscheinlichkeit – Methodenvergleich und Anwendung zur Zuverlässigkeitsallokation und -testplanung. 27. VDI Fachtagung Technische Zuverlässigkeit, Leonberg. VDI-Berichte 2260 Zeiler P, Bertsche B (2015) Zur Berechnung der Systemzuverlässigkeit mit Aussagewahrscheinlichkeit – Methodenvergleich und Anwendung zur Zuverlässigkeitsallokation und -testplanung. 27. VDI Fachtagung Technische Zuverlässigkeit, Leonberg. VDI-Berichte 2260
3.
go back to reference Zeiler P, Bertsche B (2015) Component reliability allocation and demonstration test planning based on system reliability confidence limit. European Safety and Reliability Conference (ESREL 2015), Zurich. (conference paper) Zeiler P, Bertsche B (2015) Component reliability allocation and demonstration test planning based on system reliability confidence limit. European Safety and Reliability Conference (ESREL 2015), Zurich. (conference paper)
4.
go back to reference Zeiler P, Müller F, Bertsche B (2016) New methods for the availability prediction with confidence level. European Safety and Reliability Conference (ESREL 2016), Glasgow. (conference paper) Zeiler P, Müller F, Bertsche B (2016) New methods for the availability prediction with confidence level. European Safety and Reliability Conference (ESREL 2016), Glasgow. (conference paper)
5.
go back to reference Müller F, Zeiler P, Bertsche B (2017) Availability demonstration with confidence level based on reliability and maintainability. Annual Reliability and Maintainability Symposium (RAMS 2017), Orlando. (conference paper) Müller F, Zeiler P, Bertsche B (2017) Availability demonstration with confidence level based on reliability and maintainability. Annual Reliability and Maintainability Symposium (RAMS 2017), Orlando. (conference paper)
6.
go back to reference Bertsche B (2009) Reliability in automotive and mechanical engineering. Springer, Berlin Heidelberg Bertsche B (2009) Reliability in automotive and mechanical engineering. Springer, Berlin Heidelberg
7.
go back to reference Rubinstein RY, Kroese DP (2008) Simulation and the Monte Carlo method. Wiley & Sons, New JerseyMATH Rubinstein RY, Kroese DP (2008) Simulation and the Monte Carlo method. Wiley & Sons, New JerseyMATH
8.
go back to reference Verein Deutscher Ingenieure (1999) Monte-Carlo-Simulation. VDI-Guidline 4008, Sheet 6. VDI, Düsseldorf Verein Deutscher Ingenieure (1999) Monte-Carlo-Simulation. VDI-Guidline 4008, Sheet 6. VDI, Düsseldorf
9.
go back to reference Zio E (2013) The Monte Carlo simulation method for system reliability and risk analysis. Springer, LondonCrossRef Zio E (2013) The Monte Carlo simulation method for system reliability and risk analysis. Springer, LondonCrossRef
10.
go back to reference Müller F (2015) Integration der Aussagewahrscheinlichkeit in die Berechnung und Simulation der Verfügbarkeit (Integration of the Confidence Level in the Calculation and Simulation of Availability). Master thesis. University of Stuttgart, Stuttgart Müller F (2015) Integration der Aussagewahrscheinlichkeit in die Berechnung und Simulation der Verfügbarkeit (Integration of the Confidence Level in the Calculation and Simulation of Availability). Master thesis. University of Stuttgart, Stuttgart
12.
go back to reference Efron B, Tibshirani RJ (1993) An introduction to the bootstrap. Chapman & Hall, CRC, Baca Raton, London, New York, WashingtonCrossRefMATH Efron B, Tibshirani RJ (1993) An introduction to the bootstrap. Chapman & Hall, CRC, Baca Raton, London, New York, WashingtonCrossRefMATH
13.
go back to reference Lunneborg CE (2000) Data analysis by resampling: concepts and applications. Duxbury, Australia, Canada, Mexico, Singapore, Spain, United Kingdom, United States Lunneborg CE (2000) Data analysis by resampling: concepts and applications. Duxbury, Australia, Canada, Mexico, Singapore, Spain, United Kingdom, United States
14.
go back to reference Lim J‑H, Shin SW, Kim DK, Park DH (2004) Bootstrap confidence intervals for steady-state availability. Asia Pac J Oper Res 21(3):407–419CrossRefMATHMathSciNet Lim J‑H, Shin SW, Kim DK, Park DH (2004) Bootstrap confidence intervals for steady-state availability. Asia Pac J Oper Res 21(3):407–419CrossRefMATHMathSciNet
15.
go back to reference Meeker WQ, Escobar LA (1998) Statistical methods for reliability data. Wiley & Sons, New York, Chichester, Weinheim, Brisbane, Singapore, TorontoMATH Meeker WQ, Escobar LA (1998) Statistical methods for reliability data. Wiley & Sons, New York, Chichester, Weinheim, Brisbane, Singapore, TorontoMATH
16.
go back to reference Thompson WE, Haynes RD (1980) On the reliability, availability and bayes confidence intervals for multicomponent systems. Nav Res Q 27:345–358CrossRefMATHMathSciNet Thompson WE, Haynes RD (1980) On the reliability, availability and bayes confidence intervals for multicomponent systems. Nav Res Q 27:345–358CrossRefMATHMathSciNet
Metadata
Title
Bootstrap Monte Carlo Simulation of Reliability and Confidence Level with Periodical Maintenance
Authors
Frank Müller
Peter Zeiler
Bernd Bertsche
Publication date
23-06-2017
Publisher
Springer Berlin Heidelberg
Published in
Forschung im Ingenieurwesen / Issue 4/2017
Print ISSN: 0015-7899
Electronic ISSN: 1434-0860
DOI
https://doi.org/10.1007/s10010-017-0220-6

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