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 [ | ''This example appears in the [https://help.reliasoft.com/reference/reliability_growth_and_repairable_system_analysis Reliability growth reference]''. | ||
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{|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 |
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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.