Quality and Reliability in Top-event Estimation: Quantitative Fault Tree Analysis in Case of Dependent Events

Abstract

This article deals with the quantitative Fault Tree Analysis (FTA) and the estimation method of the top-event in case of dependent events. It aims at addressing two main issues: (1) the decomposition of variability for the top-event according to several error components linked to the estimation of the top-event and sources of internal and external variations for a complex system; and (2) the definition of a Performance Measure Independent of Adjustment in order to set the quality of the top-event as a complex measure of the system failure. A simulated study applied to the health system is also carried out.

Keywords:

• PerMIA
• Quantitative FTA
• Risk function
• System reliability

2000 Mathematics Subject Classification:

• Primary 62-XX
• Secondary 46N30
• 60K10

Acknowledgments

Thanks to Ms. Susan Mary Cadby for her revision of the English language aspects of this article.