Test-Fix-Test Data Reference Example
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This example validates the results for test-fix-test data (time terminated) in Weibull++ Reliability Growth data folios.
Reference Case
Crow, L.H., Confidence Interval Procedures for the Weibull Process with Applications to Reliability Growth, U.S. Army Material Systems Analysis Activity, 1981.
For this example, the following will be calculated:
- Parameters of the Crow-AMSAA (NHPP) model
- Demonstrated MTBF (DMTBF)
- 80% two-sided confidence bounds on the DMTBF
Data
The following table shows the data.
| 0.2 |
| 4.2 |
| 4.5 |
| 5 |
| 5.4 |
| 6.1 |
| 7.9 |
| 14.8 |
| 19.2 |
| 48.6 |
| 85.8 |
| 108.9 |
| 127.2 |
| 129.8 |
| 150.1 |
| 159.7 |
| 227.4 |
| 244.7 |
| 262.7 |
| 315.3 |
| 329.6 |
| 404.3 |
| 486.2 |
Result
The book has the following results:
- Beta = 0.413, Lambda = 1.769
- DMTBF = 52.7
- Confidence Bounds on DMTBF (CL = 80%) = (35.6, 82.9)
Results in Weibull++
In Weibull++, the Crow-AMSAA (NHPP) model with the maximum likelihood estimation (MLE) method was used to calculate the results. The following equations are used to calculate
and
.
- The model parameters are:
- The instantaneous MTBF and its two-sided 80% confidence bounds are:
