Crow Extended Model for Repairable Systems Analysis Example: Difference between revisions
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<noinclude>{{Banner RGA Examples | <noinclude>{{Banner RGA Examples}} | ||
'' | ''This example appears in the [https://help.reliasoft.com/reference/reliability_growth_and_repairable_system_analysis Reliability growth reference]''. | ||
</noinclude> | </noinclude> | ||
The failures and fixes of two repairable systems in the field are recorded. Both systems started operating from time 0. System 1 ends at time = 504 and system 2 ends at time = 541. All the BD modes are fixed at the end of the test. A fixed effectiveness factor equal to 0.6 is used. Answer the following questions: | The failures and fixes of two repairable systems in the field are recorded. Both systems started operating from time 0. System 1 ends at time = 504 and system 2 ends at time = 541. All the BD modes are fixed at the end of the test. A fixed effectiveness factor equal to 0.6 is used. Answer the following questions: | ||
#Estimate the parameters of the Crow Extended model. | |||
#Calculate the projected MTBF after the delayed fixes. | |||
#If no fixes were performed for the future failures, what would be the expected number of failures at time 1,000? | |||
'''Solution''' | '''Solution''' | ||
<ol> | |||
<li>The next figure shows the estimated Crow Extended parameters. | |||
[[Image:rga13.14.png | [[Image:rga13.14.png|center|600px]] | ||
</li> | |||
<li>The next figure shows the projected MTBF at time = 541 (i.e., the age of the oldest system). | |||
[[Image:rga13.15.png | [[Image:rga13.15.png|center|450px]] | ||
</li> | |||
<li>The next figure shows the expected number of failures at time = 1,000. | |||
[[Image:rga13.16.png | [[Image:rga13.16.png|center|450px]] | ||
</li> | |||
</ol> | |||
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This example appears in the Reliability growth reference.
The failures and fixes of two repairable systems in the field are recorded. Both systems started operating from time 0. System 1 ends at time = 504 and system 2 ends at time = 541. All the BD modes are fixed at the end of the test. A fixed effectiveness factor equal to 0.6 is used. Answer the following questions:
- Estimate the parameters of the Crow Extended model.
- Calculate the projected MTBF after the delayed fixes.
- If no fixes were performed for the future failures, what would be the expected number of failures at time 1,000?
Solution
- The next figure shows the estimated Crow Extended parameters.
- The next figure shows the projected MTBF at time = 541 (i.e., the age of the oldest system).
- The next figure shows the expected number of failures at time = 1,000.
