Logistic Model - Auto Transmission Example - Revision history

Lisa Hacker at 21:21, 18 September 2023

2023-09-18T21:21:22Z

← Older revision		Revision as of 21:21, 18 September 2023
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	<noinclude>{{Banner RGA Examples}}		<noinclude>{{Banner RGA Examples}}
	''This example appears in the [~~[Logistic\|~~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 16:58, 20 June 2014

2014-06-20T16:58:52Z

← Older revision		Revision as of 16:58, 20 June 2014
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	<li>The next figure shows the entered data and the estimated parameters.		<li>The next figure shows the entered data and the estimated parameters.
	<br>		<br>
	[[Image:rga8.7.png\|center\|~~650px\|Entered data and the estimated Logistic parameters.~~]]		[[Image:rga8.7.png\|center\|600px]]
	<br>		<br>
	</li>		</li>
	<li>The next figure displays the Reliability vs. Time plot.		<li>The next figure displays the Reliability vs. Time plot.
	<br>		<br>
	[[Image:rga8.8.png\|center\|~~400px\|Reliability vs. Time plot.~~]]		[[Image:rga8.8.png\|center\|450px]]
	<br>		<br>
	</li>		</li>
	<li>Using the QCP, the next figure displays, in months, when the reliability goal of 99% will be achieved.		<li>Using the QCP, the next figure displays, in months, when the reliability goal of 99% will be achieved.
	<br>		<br>
	[[Image:rga8.9.png\|center\|~~400px\|When the reliability goal of 99% will be achieved.~~]]		[[Image:rga8.9.png\|center\|450px]]
	<br>		<br>
	</li>		</li>
	<li>The last figure shows the reliability at the end of January the following year (i.e., after 20 months of testing and development).		<li>The last figure shows the reliability at the end of January the following year (i.e., after 20 months of testing and development).
	<br>		<br>
	[[Image:rga8.10.png\|center\|~~400px\|The reliability at the end of the following January (month=20)~~]]		[[Image:rga8.10.png\|center\|450px]]
	<br>		<br>
	</li>		</li>
	</ol>		</ol>

Chris Kahn at 17:04, 12 June 2014

2014-06-12T17:04:25Z

← Older revision		Revision as of 17:04, 12 June 2014
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	'''Solution '''		'''Solution '''
	<ol>		<ol>
	<li>The next figure shows the estimated parameters.		<li>The next figure shows the entered data and the estimated parameters.
	<br>		<br>
	[[Image:rga8.7.png~~\|thumb~~\|center\|650px\|Entered data and the estimated Logistic parameters.]]		[[Image:rga8.7.png\|center\|650px\|Entered data and the estimated Logistic parameters.]]
	<br>		<br>
	</li>		</li>
	<li>The next figure displays the Reliability vs. Time plot.		<li>The next figure displays the Reliability vs. Time plot.
	<br>		<br>
	[[Image:rga8.8.png~~\|thumb~~\|center\|400px\|Reliability vs. Time plot.]]		[[Image:rga8.8.png\|center\|400px\|Reliability vs. Time plot.]]
	<br>		<br>
	</li>		</li>
	<li>Using the QCP, the next figure displays when the reliability goal of 99% will be achieved.		<li>Using the QCP, the next figure displays, in months, when the reliability goal of 99% will be achieved.
	<br>		<br>
	[[Image:rga8.9.png~~\|thumb~~\|center\|400px\|When the reliability goal of 99% will be achieved.]]		[[Image:rga8.9.png\|center\|400px\|When the reliability goal of 99% will be achieved.]]
	<br>		<br>
	</li>		</li>
	<li>The last figure shows the reliability at the end of January the following year (i.e., after 20 months of testing and development).		<li>The last figure shows the reliability at the end of January the following year (i.e., after 20 months of testing and development).
	<br>		<br>
	[[Image:rga8.10.png~~\|thumb~~\|center\|400px\|The reliability at the end of the following January (month=20)]]		[[Image:rga8.10.png\|center\|400px\|The reliability at the end of the following January (month=20)]]
	<br>		<br>
	</li>		</li>
	</ol>		</ol>

Chris Kahn at 16:51, 12 June 2014

2014-06-12T16:51:29Z

← Older revision		Revision as of 16:51, 12 June 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'''
	!Month		!Month
	!Observed Reliability(%)		!Observed Reliability(%)

David J. Groebel at 18:22, 29 May 2014

2014-05-29T18:22:40Z

← Older revision		Revision as of 18:22, 29 May 2014
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	<noinclude>{{Banner RGA Examples}}		<noinclude>{{Banner RGA Examples}}
	''This example appears in the [[Logistic\|Reliability Growth and Repairable System Analysis Reference ~~book~~]]''.		''This example appears in the [[Logistic\|Reliability Growth and Repairable System Analysis Reference]]''.
	</noinclude>		</noinclude>

Chris Kahn at 23:41, 31 January 2014

2014-01-31T23:41:08Z

← Older revision		Revision as of 23:41, 31 January 2014
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	The following table presents the reliabilities observed monthly for an automobile transmission that was tested for one year.		The following table presents the reliabilities observed monthly for an automobile transmission that was tested for one year.

	~~:1)~~ Find a Logistic reliability growth curve that best represents the data.		#Find a Logistic reliability growth curve that best represents the data.
	~~:2)~~ Plot it comparatively with the raw data.		#Plot it comparatively with the raw data.
	~~:3)~~ If design changes continue to be incorporated and the testing continues, when will the reliability goal of 99% be achieved?		#If design changes continue to be incorporated and the testing continues, when will the reliability goal of 99% be achieved?
	~~:4)~~ If design changes continue to be incorporated and the testing continues, what will be the attainable reliability at the end of January the following year?		#If design changes continue to be incorporated and the testing continues, what will be the attainable reliability at the end of January the following year?

	{\|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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	'''Solution '''		'''Solution '''
			<ol>
			<li>The next figure shows the estimated parameters.
	<br>		<br>
	:~~1) The next figure shows~~ the estimated parameters.		[[Image:rga8.7.png\|thumb\|center\|650px\|Entered data and the estimated Logistic parameters.]]
	<br>		<br>
	~~[[Image:rga8.7.png\|thumb\|center\|400px\|Entered data and the estimated Logistic parameters.]]~~		</li>
	<br>		<li>The next figure displays the Reliability vs. Time plot.
	~~:2)~~ The next figure displays the Reliability vs. Time plot.
	<br>		<br>
	[[Image:rga8.8.png\|thumb\|center\|400px\|Reliability vs. Time plot.]]		[[Image:rga8.8.png\|thumb\|center\|400px\|Reliability vs. Time plot.]]
	<br>		<br>
	~~:3)~~ Using the QCP, the next figure displays when the reliability goal of 99% will be achieved.		</li>
			<li>Using the QCP, the next figure displays when the reliability goal of 99% will be achieved.
	<br>		<br>
	[[Image:rga8.9.png\|thumb\|center\|400px\|When the reliability goal of 99% will be achieved.]]		[[Image:rga8.9.png\|thumb\|center\|400px\|When the reliability goal of 99% will be achieved.]]
	<br>		<br>
	~~:4)~~ The last figure shows the reliability at the end of January the following year (i.e., after 20 months of testing and development).		</li>
			<li>The last figure shows the reliability at the end of January the following year (i.e., after 20 months of testing and development).
	<br>		<br>
	[[Image:rga8.10.png\|thumb\|center\|400px\|The reliability at the end of the following January (month=20)]]		[[Image:rga8.10.png\|thumb\|center\|400px\|The reliability at the end of the following January (month=20)]]
	<br>		<br>
			</li>
			</ol>

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

2014-01-21T21:20:31Z

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

New page

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

The following table presents the reliabilities observed monthly for an automobile transmission that was tested for one year.

:1) Find a Logistic reliability growth curve that best represents the data.
:2) Plot it comparatively with the raw data.
:3) If design changes continue to be incorporated and the testing continues, when will the reliability goal of 99% be achieved?
:4) If design changes continue to be incorporated and the testing continues, what will be the attainable reliability at the end of January the following year?

{|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
|+'''Reliability data'''
!Month
!Observed Reliability(%)
|-
|June|| 22
|-
|July|| 26
|-
|August|| 30
|-
|September|| 34
|-
|October|| 45
|-
|November|| 58
|-
|December|| 68
|-
|January|| 79
|-
|February|| 85
|-
|March|| 89
|-
|April|| 92
|-
|May|| 95
|}

'''Solution '''
 
:1) The next figure shows the estimated parameters.
 
[[Image:rga8.7.png|thumb|center|400px|Entered data and the estimated Logistic parameters.]]
 
:2) The next figure displays the Reliability vs. Time plot.
 
[[Image:rga8.8.png|thumb|center|400px|Reliability vs. Time plot.]]
 
:3) Using the QCP, the next figure displays when the reliability goal of 99% will be achieved.
 
[[Image:rga8.9.png|thumb|center|400px|When the reliability goal of 99% will be achieved.]]
 
:4) The last figure shows the reliability at the end of January the following year (i.e., after 20 months of testing and development).
 
[[Image:rga8.10.png|thumb|center|400px|The reliability at the end of the following January (month=20)]]