Reliability Data - Lloyd-Lipow Model: Difference between revisions
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<noinclude>{{Banner RGA Examples}} | <noinclude>{{Banner RGA Examples}} | ||
''This example appears in the [[Lloyd-Lipow|Reliability Growth and Repairable System Analysis Reference | ''This example appears in the [[Lloyd-Lipow|Reliability Growth and Repairable System Analysis Reference]]''. | ||
</noinclude> | </noinclude> | ||
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#How many months of testing are required to achieve a reliability goal of 90%? | #How many months of testing are required to achieve a reliability goal of 90%? | ||
#What is the attainable reliability if the maximum duration of testing is 30 months? | #What is the attainable reliability if the maximum duration of testing is 30 months? | ||
{|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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|10|| 92.10 | |10|| 92.10 | ||
|} | |} | ||
'''Solution''' | '''Solution''' | ||
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<li>The next figure displays the estimated parameters. | <li>The next figure displays the estimated parameters. | ||
[[Image:rga6.6.png | [[Image:rga6.6.png|center|600px]] | ||
</li> | </li> | ||
<li>The figure below displays Reliability vs. Time plot with 90% 2-sided confidence bounds. | <li>The figure below displays Reliability vs. Time plot with 90% 2-sided confidence bounds. | ||
[[Image:rga6.7.png | [[Image:rga6.7.png|center|450px]] | ||
</li> | </li> | ||
<li>The next figure shows the number of months of testing required to achieve a reliability goal of 90%. | <li>The next figure shows the number of months of testing required to achieve a reliability goal of 90%. | ||
[[Image:rga6.8.png | [[Image:rga6.8.png|center|450px]] | ||
</li> | </li> | ||
<li>The figure below displays the reliability achieved after 30 months of testing. | <li>The figure below displays the reliability achieved after 30 months of testing. | ||
[[Image:rga6.9.png | [[Image:rga6.9.png|center|450px]] | ||
</li> | </li> | ||
</ol> | </ol> | ||
Revision as of 19:55, 29 May 2014
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This example appears in the Reliability Growth and Repairable System Analysis Reference.
Given the reliability data in the table below, do the following:
- Fit the Lloyd-Lipow model to the data using least squares analysis.
- Plot the Lloyd-Lipow reliability with 90% 2-sided confidence bounds.
- How many months of testing are required to achieve a reliability goal of 90%?
- What is the attainable reliability if the maximum duration of testing is 30 months?
| Time(months) | Reliability(%) |
|---|---|
| 1 | 33.35 |
| 2 | 42.50 |
| 3 | 58.02 |
| 4 | 68.50 |
| 5 | 74.20 |
| 6 | 80.00 |
| 7 | 82.30 |
| 8 | 89.50 |
| 9 | 91.00 |
| 10 | 92.10 |
Solution
- The next figure displays the estimated parameters.
- The figure below displays Reliability vs. Time plot with 90% 2-sided confidence bounds.
- The next figure shows the number of months of testing required to achieve a reliability goal of 90%.
- The figure below displays the reliability achieved after 30 months of testing.
