Reliability Data - Lloyd-Lipow Model: Difference between revisions
Jump to navigation
Jump to search
Chris Kahn (talk | contribs) No edit summary |
Lisa Hacker (talk | contribs) No edit summary |
||
| (3 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
<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> | ||
| Line 9: | Line 9: | ||
#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" | ||
|+'''Reliability Data''' | |+'''Reliability Data''' | ||
!Time(months) | !Time (months) | ||
!Reliability(%) | !Reliability (%) | ||
|- | |- | ||
|1|| 33.35 | |1|| 33.35 | ||
| Line 36: | Line 35: | ||
|10|| 92.10 | |10|| 92.10 | ||
|} | |} | ||
'''Solution''' | '''Solution''' | ||
| Line 42: | Line 40: | ||
<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> | ||
Latest revision as of 21:17, 18 September 2023
 |
New format available! This reference is now available in a new format that offers faster page load, improved display for calculations and images and more targeted search.
As of January 2024, this Reliawiki page will not continue to be updated. Please update all links and bookmarks to the latest references at RGA examples and RGA reference examples.
This example appears in the Reliability growth 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.
