Reliability Data - Lloyd-Lipow Model - Revision history

Lisa Hacker at 21:17, 18 September 2023

2023-09-18T21:17:48Z

← Older revision		Revision as of 21:17, 18 September 2023
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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 [https://help.reliasoft.com/reference/reliability_growth_and_repairable_system_analysis Reliability growth reference]''.
	</noinclude>		</noinclude>

David J. Groebel at 19:56, 29 May 2014

2014-05-29T19:56:02Z

← Older revision		Revision as of 19:56, 29 May 2014
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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

David J. Groebel at 19:55, 29 May 2014

2014-05-29T19:55:38Z

← Older revision		Revision as of 19:55, 29 May 2014
Line 1:		Line 1:
	<noinclude>{{Banner RGA Examples}}		<noinclude>{{Banner RGA Examples}}
	''This example appears in the [[Lloyd-Lipow\|Reliability Growth and Repairable System Analysis Reference ~~book~~]]''.		''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~~\|thumb~~\|center\|~~650px\|Estimated Lloyd-Lipow parameters using least squares.~~]]		[[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~~\|thumb~~\|center\|~~400px\|Reliability vs. Time plot with 90% 2-sided confidence bounds.~~]]		[[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~~\|thumb~~\|center\|~~400px\|Number of months required to achieve a reliability of 90%.~~]]		[[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~~\|thumb~~\|center\|~~400px\|Maximum attainable reliability for a testing duration of 30 months.~~]]		[[Image:rga6.9.png\|center\|450px]]
	</li>		</li>
	</ol>		</ol>

Chris Kahn at 23:34, 31 January 2014

2014-01-31T23:34:33Z

← Older revision		Revision as of 23:34, 31 January 2014
Line 42:		Line 42:
	<li>The next figure displays the estimated parameters.		<li>The next figure displays the estimated parameters.

	[[Image:rga6.6.png\|thumb\|center\|~~400px~~\|Estimated Lloyd-Lipow parameters using least squares.]]		[[Image:rga6.6.png\|thumb\|center\|650px\|Estimated Lloyd-Lipow parameters using least squares.]]
	</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.

Chris Kahn at 23:34, 31 January 2014

2014-01-31T23:34:12Z

← Older revision		Revision as of 23:34, 31 January 2014
Line 39:		Line 39:

	'''Solution'''		'''Solution'''
			<ol>
			<li>The next figure displays the estimated parameters.

	:1) The ~~next~~ figure displays ~~the estimated parameters~~.		[[Image:rga6.6.png\|thumb\|center\|400px\|Estimated Lloyd-Lipow parameters using least squares.]]
			</li>
			<li>The figure below displays Reliability vs. Time plot with 90% 2-sided confidence bounds.

	[[Image:rga6.6.png\|thumb\|center\|~~300px~~\|~~Estimated Lloyd~~-~~Lipow parameters using least squares~~.]]		[[Image:rga6.7.png\|thumb\|center\|400px\|Reliability vs. Time plot with 90% 2-sided confidence bounds.]]
			</li>
			<li>The next figure shows the number of months of testing required to achieve a reliability goal of 90%.

	:2) The figure below displays ~~Reliability vs. Time plot with 90% 2-sided confidence bounds~~.		[[Image:rga6.8.png\|thumb\|center\|400px\|Number of months required to achieve a reliability of 90%.]]
			</li>
			<li>The figure below displays the reliability achieved after 30 months of testing.

	~~[[Image:rga6.7.png\|thumb\|center\|300px\|Reliability vs. Time plot with 90% 2-sided confidence bounds.]]~~		[[Image:rga6.9.png\|thumb\|center\|400px\|Maximum attainable reliability for a testing duration of 30 months.]]
			</li>
	~~:3) The next figure shows the number of months of testing required to achieve a reliability goal of 90%.~~		</ol>

	~~[[Image:rga6.8.png\|thumb\|center\|300px\|Number of months required to achieve a reliability of 90%.]]~~

	~~:4) The figure below displays the reliability achieved after 30 months of testing.~~

	[[Image:rga6.9.png\|thumb\|center\|~~300px~~\|Maximum attainable reliability for a testing duration of 30 months.]]

Kate Racaza: Created page with '{{Banner RGA Examples}} ''This example appears in the Reliability Growth and Repairable System Analysis Reference book''. Given the relia…'

2014-01-21T19:32:19Z

Created page with '<noinclude>{{Banner RGA Examples}} ''This example appears in the Reliability Growth and Repairable System Analysis Reference book''. </noinclude> Given the relia…'

New page

<noinclude>{{Banner RGA Examples}}
''This example appears in the [[Lloyd-Lipow|Reliability Growth and Repairable System Analysis Reference book]]''.
</noinclude>

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?

{|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
|+'''Reliability Data'''
!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'''

:1) The next figure displays the estimated parameters.

[[Image:rga6.6.png|thumb|center|300px|Estimated Lloyd-Lipow parameters using least squares.]]

:2) The figure below displays Reliability vs. Time plot with 90% 2-sided confidence bounds.

[[Image:rga6.7.png|thumb|center|300px|Reliability vs. Time plot with 90% 2-sided confidence bounds.]]

:3) The next figure shows the number of months of testing required to achieve a reliability goal of 90%.

[[Image:rga6.8.png|thumb|center|300px|Number of months required to achieve a reliability of 90%.]]

:4) The figure below displays the reliability achieved after 30 months of testing.

[[Image:rga6.9.png|thumb|center|300px|Maximum attainable reliability for a testing duration of 30 months.]]