Failure Times Crow-AMSAA Example - Revision history

Lisa Hacker at 21:16, 18 September 2023

2023-09-18T21:16:49Z

← Older revision		Revision as of 21:16, 18 September 2023
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	<noinclude>{{Banner RGA Examples}}		<noinclude>{{Banner RGA Examples}}
	''This example appears in the [~~[Crow-AMSAA_(NHPP)\|~~Reliability ~~Growth and Repairable System Analysis Reference]~~]''.		''This example appears in the [https://help.reliasoft.com/reference/reliability_growth_and_repairable_system_analysis Reliability growth reference]''.
	</noinclude>		</noinclude>

David J. Groebel at 18:35, 30 May 2014

2014-05-30T18:35:13Z

← Older revision		Revision as of 18:35, 30 May 2014
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	<li>The next figure shows the parameters estimated using RGA.		<li>The next figure shows the parameters estimated using RGA.

	[[Image:rga5.30.png\|center\|~~400px\|Estimated parameters of the Crow-AMSAA model.~~]]</li>		[[Image:rga5.30.png\|center\|600px]]</li>

	<li>The instantaneous MTBF with one-sided 90% confidence bounds can be calculated using the Quick Calculation Pad (QCP), as shown next. From the QCP, it is estimated that the lower limit on the MTBF at 300 hours with a 90% confidence level is equal to 10.8170 hours. Therefore, the prototype has met the specified goal.		<li>The instantaneous MTBF with one-sided 90% confidence bounds can be calculated using the Quick Calculation Pad (QCP), as shown next. From the QCP, it is estimated that the lower limit on the MTBF at 300 hours with a 90% confidence level is equal to 10.8170 hours. Therefore, the prototype has met the specified goal.

	[[Image:rga5.31.png\|center\|~~400px\|Instantaneous MTBF with one-sided 90% confidence bounds.~~]]</li>		[[Image:rga5.31.png\|center\|450px]]</li>
	</ol>		</ol>

Chris Kahn: moved Failure Times Crow AMSAA Example to Failure Times Crow-AMSAA Example

2014-05-07T18:48:46Z

moved Failure Times Crow AMSAA Example to Failure Times Crow-AMSAA Example

← Older revision	Revision as of 18:48, 7 May 2014
(No difference)

David J. Groebel at 00:13, 23 April 2014

2014-04-23T00:13:19Z

← Older revision		Revision as of 00:13, 23 April 2014
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	<noinclude>{{Banner RGA Examples}}		<noinclude>{{Banner RGA Examples}}
	''This example appears in the [[Crow-AMSAA_(NHPP)\|Reliability Growth and Repairable System Analysis Reference ~~book~~]]''.		''This example appears in the [[Crow-AMSAA_(NHPP)\|Reliability Growth and Repairable System Analysis Reference]]''.
	</noinclude>		</noinclude>

Chris Kahn at 22:31, 31 January 2014

2014-01-31T22:31:24Z

← Older revision		Revision as of 22:31, 31 January 2014
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	A prototype of a system was tested at the end of one of its design stages. The test was run for a total of 300 hours and 27 failures were observed. The table below shows the collected data set. The prototype has a design specification of an MTBF equal to 10 hours with a 90% confidence level at 300 hours. Do the following:		A prototype of a system was tested at the end of one of its design stages. The test was run for a total of 300 hours and 27 failures were observed. The table below shows the collected data set. The prototype has a design specification of an MTBF equal to 10 hours with a 90% confidence level at 300 hours. Do the following:

	1) Estimate the parameters of the Crow-AMSAA model using maximum likelihood estimation.		#Estimate the parameters of the Crow-AMSAA model using maximum likelihood estimation.
			#Does the prototype meet the specified goal?
	2) Does the prototype meet the specified goal?

	<center>'''Failure Times Data'''</center>		<center>'''Failure Times Data'''</center>
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	'''Solution'''		'''Solution'''
			<ol>
			<li>The next figure shows the parameters estimated using RGA.

	~~1) The next figure shows the parameters estimated using RGA.~~		[[Image:rga5.30.png\|center\|400px\|Estimated parameters of the Crow-AMSAA model.]]</li>

	[[Image:rga5.30.png\|center\|400px\|Estimated parameters of the Crow-AMSAA model.]]

	2) The instantaneous MTBF with one-sided 90% confidence bounds can be calculated using the Quick Calculation Pad (QCP), as shown next. From the QCP, it is estimated that the lower limit on the MTBF at 300 hours with a 90% confidence level is equal to 10.8170 hours. Therefore, the prototype has met the specified goal.		<li>The instantaneous MTBF with one-sided 90% confidence bounds can be calculated using the Quick Calculation Pad (QCP), as shown next. From the QCP, it is estimated that the lower limit on the MTBF at 300 hours with a 90% confidence level is equal to 10.8170 hours. Therefore, the prototype has met the specified goal.

	[[Image:rga5.31.png\|center\|400px\|Instantaneous MTBF with one-sided 90% confidence bounds.]]		[[Image:rga5.31.png\|center\|400px\|Instantaneous MTBF with one-sided 90% confidence bounds.]]</li>
			</ol>

David J. Groebel at 20:50, 30 January 2014

2014-01-30T20:50:50Z

← Older revision		Revision as of 20:50, 30 January 2014
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	A prototype of a system was tested at the end of one of its design stages. The test was run for a total of 300 hours and 27 failures were observed. The table below shows the collected data set. The prototype has a design specification of an MTBF equal to 10 hours with a 90% confidence level at 300 hours. Do the following:		A prototype of a system was tested at the end of one of its design stages. The test was run for a total of 300 hours and 27 failures were observed. The table below shows the collected data set. The prototype has a design specification of an MTBF equal to 10 hours with a 90% confidence level at 300 hours. Do the following:

	1) Estimate the parameters of the Crow-AMSAA model using maximum likelihood estimation.		1) Estimate the parameters of the Crow-AMSAA model using maximum likelihood estimation.

David J. Groebel at 20:50, 30 January 2014

2014-01-30T20:50:40Z

← Older revision		Revision as of 20:50, 30 January 2014
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	A prototype of a system was tested at the end of one of its design stages. The test was run for a total of 300 hours and 27 failures were observed. The table below shows the collected data set. The prototype has a design specification of an MTBF equal to 10 hours with a 90% confidence level at 300 hours. Do the following:		A prototype of a system was tested at the end of one of its design stages. The test was run for a total of 300 hours and 27 failures were observed. The table below shows the collected data set. The prototype has a design specification of an MTBF equal to 10 hours with a 90% confidence level at 300 hours. Do the following:
	1) Estimate the parameters of the Crow-AMSAA model using maximum likelihood estimation.		1) Estimate the parameters of the Crow-AMSAA model using maximum likelihood estimation.

	2) Does the prototype meet the specified goal?		2) Does the prototype meet the specified goal?

David J. Groebel at 20:50, 30 January 2014

2014-01-30T20:50:28Z

← Older revision		Revision as of 20:50, 30 January 2014
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	'''Solution'''		'''Solution'''

	1) The next figure shows the parameters estimated using RGA.		1) The next figure shows the parameters estimated using RGA.

	[[Image:rga5.30.png\|center\|400px\|Estimated parameters of the Crow-AMSAA model.]]		[[Image:rga5.30.png\|center\|400px\|Estimated parameters of the Crow-AMSAA model.]]

	2) The instantaneous MTBF with one-sided 90% confidence bounds can be calculated using the Quick Calculation Pad (QCP), as shown next. From the QCP, it is estimated that the lower limit on the MTBF at 300 hours with a 90% confidence level is equal to 10.8170 hours. Therefore, the prototype has met the specified goal.		2) The instantaneous MTBF with one-sided 90% confidence bounds can be calculated using the Quick Calculation Pad (QCP), as shown next. From the QCP, it is estimated that the lower limit on the MTBF at 300 hours with a 90% confidence level is equal to 10.8170 hours. Therefore, the prototype has met the specified goal.

	[[Image:rga5.31.png\|center\|400px\|Instantaneous MTBF with one-sided 90% confidence bounds.]]		[[Image:rga5.31.png\|center\|400px\|Instantaneous MTBF with one-sided 90% confidence bounds.]]

David J. Groebel at 17:57, 27 January 2014

2014-01-27T17:57:33Z

← Older revision		Revision as of 17:57, 27 January 2014
Line 4:		Line 4:

	A prototype of a system was tested at the end of one of its design stages. The test was run for a total of 300 hours and 27 failures were observed. The table below shows the collected data set. The prototype has a design specification of an MTBF equal to 10 hours with a 90% confidence level at 300 hours. Do the following:		A prototype of a system was tested at the end of one of its design stages. The test was run for a total of 300 hours and 27 failures were observed. The table below shows the collected data set. The prototype has a design specification of an MTBF equal to 10 hours with a 90% confidence level at 300 hours. Do the following:
	:1) Estimate the parameters of the Crow-AMSAA model using maximum likelihood estimation.		1) Estimate the parameters of the Crow-AMSAA model using maximum likelihood estimation.
	:2) Does the prototype meet the specified goal?		2) Does the prototype meet the specified goal?

	<center>'''Failure Times Data'''</center>		<center>'''Failure Times Data'''</center>
Line 27:		Line 27:
	'''Solution'''		'''Solution'''

	:1) The next figure shows the parameters estimated using RGA.		1) The next figure shows the parameters estimated using RGA.

	[[Image:rga5.30.png\|center\|400px\|Estimated parameters of the Crow-AMSAA model.]]		[[Image:rga5.30.png\|center\|400px\|Estimated parameters of the Crow-AMSAA model.]]

			2) The instantaneous MTBF with one-sided 90% confidence bounds can be calculated using the Quick Calculation Pad (QCP), as shown next. From the QCP, it is estimated that the lower limit on the MTBF at 300 hours with a 90% confidence level is equal to 10.8170 hours. Therefore, the prototype has met the specified goal.
	:2) The instantaneous MTBF with one-sided 90% confidence bounds can be calculated using the Quick Calculation Pad (QCP), as shown next. From the QCP, it is estimated that the lower limit on the MTBF at 300 hours with a 90% confidence level is equal to 10.8170 hours. Therefore, the prototype has met the specified goal.

	[[Image:rga5.31.png\|center\|400px\|Instantaneous MTBF with one-sided 90% confidence bounds.]]		[[Image:rga5.31.png\|center\|400px\|Instantaneous MTBF with one-sided 90% confidence bounds.]]

Chris Kahn at 23:53, 24 January 2014

2014-01-24T23:53:50Z

← Older revision		Revision as of 23:53, 24 January 2014
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	:1) The next figure shows the parameters estimated using RGA.		:1) The next figure shows the parameters estimated using RGA.

	[[Image:rga5.30.png\|center\|~~300px~~\|Estimated parameters of the Crow-AMSAA model.]]		[[Image:rga5.30.png\|center\|400px\|Estimated parameters of the Crow-AMSAA model.]]


	:2) The instantaneous MTBF with one-sided 90% confidence bounds can be calculated using the Quick Calculation Pad (QCP), as shown next. From the QCP, it is estimated that the lower limit on the MTBF at 300 hours with a 90% confidence level is equal to 10.8170 hours. Therefore, the prototype has met the specified goal.		:2) The instantaneous MTBF with one-sided 90% confidence bounds can be calculated using the Quick Calculation Pad (QCP), as shown next. From the QCP, it is estimated that the lower limit on the MTBF at 300 hours with a 90% confidence level is equal to 10.8170 hours. Therefore, the prototype has met the specified goal.

	[[Image:rga5.31.png\|center\|~~300px~~\|Instantaneous MTBF with one-sided 90% confidence bounds.]]		[[Image:rga5.31.png\|center\|400px\|Instantaneous MTBF with one-sided 90% confidence bounds.]]