Sequential Data - 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> | ||
Given the sequential success/failure data in the table below, do the following: | Given the sequential success/failure data in the table below, do the following: | ||
#Estimate the Duane parameters. | |||
#What is the instantaneous Reliability at the end of the test? | |||
#How many additional test runs with a one-sided 90% confidence level are required to meet an instantaneous Reliability goal of 80%? | |||
{|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5" | {|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5" | ||
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'''Solution''' | '''Solution''' | ||
<ol> | |||
<li>The following figure shows the data set entered into RGA along with the estimated Duane parameters. | |||
: | [[Image:rga4.19.png|center|600px]] | ||
</li> | |||
<li>The Reliability at the end of the test is equal to 78.22%. Note that this is the DRel that is shown in the control panel in the above figure. | |||
</li> | |||
<li>The figure below shows the number of test runs with both one-sided confidence bounds at 90% confidence level to achieve an instantaneous Reliability of 80%. Therefore, the number of additional test runs required with a 90% confidence level is equal to <math>42.2481-20=22.2481\approx 23\,\!</math> test runs. | |||
[[Image:rga4. | [[Image:rga4.20.png|center|450px]] | ||
</li></ol> | |||
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This example appears in the Reliability growth reference.
Given the sequential success/failure data in the table below, do the following:
- Estimate the Duane parameters.
- What is the instantaneous Reliability at the end of the test?
- How many additional test runs with a one-sided 90% confidence level are required to meet an instantaneous Reliability goal of 80%?
| Run Number | Result |
|---|---|
| 1 | F |
| 2 | F |
| 3 | S |
| 4 | S |
| 5 | S |
| 6 | F |
| 7 | S |
| 8 | F |
| 9 | F |
| 10 | S |
| 11 | S |
| 12 | S |
| 13 | F |
| 14 | S |
| 15 | S |
| 16 | S |
| 17 | S |
| 18 | S |
| 19 | S |
| 20 | S |
Solution
- The following figure shows the data set entered into RGA along with the estimated Duane parameters.
- The Reliability at the end of the test is equal to 78.22%. Note that this is the DRel that is shown in the control panel in the above figure.
- The figure below shows the number of test runs with both one-sided confidence bounds at 90% confidence level to achieve an instantaneous Reliability of 80%. Therefore, the number of additional test runs required with a 90% confidence level is equal to [math]\displaystyle{ 42.2481-20=22.2481\approx 23\,\! }[/math] test runs.
