Failure Times - Duane Example: Difference between revisions
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<noinclude>{{Banner RGA Examples}} | <noinclude>{{Banner RGA Examples}} | ||
''This example appears in the [ | ''This example appears in the [https://help.reliasoft.com/reference/reliability_growth_and_repairable_system_analysis Reliability growth reference]''. | ||
</noinclude> | </noinclude> | ||
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Do the following: | |||
#Estimate the Duane parameters. | #Estimate the Duane parameters. | ||
#Plot the cumulative and instantaneous MTBF curves. | #Plot the cumulative and instantaneous MTBF curves. | ||
| Line 44: | Line 45: | ||
<li>The next figure shows the data entered into RGA along with the estimated Duane parameters. | <li>The next figure shows the data entered into RGA along with the estimated Duane parameters. | ||
[[Image:rga4.11.png | [[Image:rga4.11.png|center|600px]]</li> | ||
<li> The following figure shows the cumulative and instantaneous MTBF curves. | <li> The following figure shows the cumulative and instantaneous MTBF curves. | ||
[[Image:rga4.12.png | [[Image:rga4.12.png|center|450px]]</li> | ||
<li>The next figure shows the cumulative test and development hours needed for an instantaneous MTBF goal of 500 hours. | <li>The next figure shows the cumulative test and development hours needed for an instantaneous MTBF goal of 500 hours. | ||
[[Image:rga4.13.png | [[Image:rga4.13.png|center|450px]]</li> | ||
<li>The figure below shows the cumulative test and development hours needed for a cumulative MTBF goal of 500 hours. | <li>The figure below shows the cumulative test and development hours needed for a cumulative MTBF goal of 500 hours. | ||
[[Image:rga4.14.png | [[Image:rga4.14.png|center|450px]]</li> | ||
</ol> | </ol> | ||
Latest revision as of 21:16, 18 September 2023
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This example appears in the Reliability growth reference.
A prototype of a system was tested with design changes incorporated during the test. A total of 12 failures occurred. The data set is given in the following table.
| Failure Number | Cumulative Test Time(hours) |
|---|---|
| 1 | 80 |
| 2 | 175 |
| 3 | 265 |
| 4 | 400 |
| 5 | 590 |
| 6 | 1100 |
| 7 | 1650 |
| 8 | 2010 |
| 9 | 2400 |
| 10 | 3380 |
| 11 | 5100 |
| 12 | 6400 |
Do the following:
- Estimate the Duane parameters.
- Plot the cumulative and instantaneous MTBF curves.
- How many cumulative test and development hours are required to meet an instantaneous MTBF goal of 500 hours?
- How many cumulative test and development hours are required to meet a cumulative MTBF goal of 500 hours?
Solution
- The next figure shows the data entered into RGA along with the estimated Duane parameters.
- The following figure shows the cumulative and instantaneous MTBF curves.
- The next figure shows the cumulative test and development hours needed for an instantaneous MTBF goal of 500 hours.
- The figure below shows the cumulative test and development hours needed for a cumulative MTBF goal of 500 hours.
