Exponential Chi-Squared Reliability Demonstration Test

From ReliaWiki
Revision as of 16:25, 28 September 2015 by Kate Racaza (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
Weibull Reference Examples Banner.png


Exponential Chi-Squared Reliability Demonstration Test

This example validates the results for an exponential chi-squared reliability demonstration test design in Weibull++.


Reference Case

The data set is from Example 14.3 on page 362 in the book Practical Reliability Engineering by O’Connor and Kleyner, Wiley, 2012.


Data

A component was tested for a total of 2,000 hours, and three failures were observed. The test was time-truncated. Assuming a constant failure rate, what is the demonstrated 90% lower confidence limit on reliability at 100 operating hours?


Result

The book shows that the demonstrated MTBF is 299.36, and the demonstrated reliability is 71.6%.


Results in Weibull++

For the MTBF the result is 299.36 hours, as shown next.

Exponential RDT MTBF.png


For reliability, the result is 71.6%, as shown next.

Exponential RDT.png


Both results show that 2,000 tests are needed to demonstrate the required reliability of 71.6% or MTBF of 299.36.