Auto Transmission Example - Revision history

Lisa Hacker at 20:54, 18 September 2023

2023-09-18T20:54:22Z

← Older revision		Revision as of 20:54, 18 September 2023
Line 1:		Line 1:
	<noinclude>{{Banner RGA Examples}}		<noinclude>{{Banner RGA Examples}}
	''This example appears in the [~~[Repairable_Systems_Analysis\|~~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>

Chris Kahn at 17:46, 12 June 2014

2014-06-12T17:46:41Z

← Older revision		Revision as of 17:46, 12 June 2014
Line 10:		Line 10:
	{\|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"		{\|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
	\|-		\|-
	\|colspan="5" style="text-align:center"\|'''Automatic ~~transmission data~~'''		\|colspan="5" style="text-align:center"\|'''Automatic Transmission Data'''
	\|-		\|-
	!Car		!Car

David J. Groebel at 19:53, 2 June 2014

2014-06-02T19:53:39Z

← Older revision		Revision as of 19:53, 2 June 2014
Line 57:		Line 57:
	<li>The estimated Power Law parameters are shown next.		<li>The estimated Power Law parameters are shown next.

	[[Image:rga13.10.png\|center\|~~450px~~]]		[[Image:rga13.10.png\|center\|600px]]
	</li>		</li>
	<li>The expected number of failures at 36,000 miles can be estimated using the QCP as shown next. The model predicts that 0.3559 failures per system will occur by 36,000 miles. This means that for a fleet of 35,000 vehicles, the expected warranty claims are 0.3559 * 35,000 = 12,456.		<li>The expected number of failures at 36,000 miles can be estimated using the QCP as shown next. The model predicts that 0.3559 failures per system will occur by 36,000 miles. This means that for a fleet of 35,000 vehicles, the expected warranty claims are 0.3559 * 35,000 = 12,456.

David J. Groebel at 19:53, 2 June 2014

2014-06-02T19:53:22Z

← Older revision		Revision as of 19:53, 2 June 2014
Line 52:		Line 52:
	\|17\|\| 23520+\|\| \|\| 34\|\| 19250, 21888+		\|17\|\| 23520+\|\| \|\| 34\|\| 19250, 21888+
	\|}		\|}


	'''Solution'''		'''Solution'''

David J. Groebel at 19:53, 2 June 2014

2014-06-02T19:53:11Z

← Older revision		Revision as of 19:53, 2 June 2014
Line 1:		Line 1:
	<noinclude>{{Banner RGA Examples}}		<noinclude>{{Banner RGA Examples}}
	''This example appears in the [[Repairable_Systems_Analysis\|Reliability Growth and Repairable System Analysis Reference ~~book~~]]''.		''This example appears in the [[Repairable_Systems_Analysis\|Reliability Growth and Repairable System Analysis Reference]]''.
	</noinclude>		</noinclude>

Line 58:		Line 58:
	<li>The estimated Power Law parameters are shown next.		<li>The estimated Power Law parameters are shown next.

	[[Image:rga13.10.png~~\|thumb~~\|center\|450px~~\|Entered transmission data and the estimated Power Law parameters.~~]]		[[Image:rga13.10.png\|center\|450px]]
	</li>		</li>
	<li>The expected number of failures at 36,000 miles can be estimated using the QCP as shown next. The model predicts that 0.3559 failures per system will occur by 36,000 miles. This means that for a fleet of 35,000 vehicles, the expected warranty claims are 0.3559 * 35,000 = 12,456.		<li>The expected number of failures at 36,000 miles can be estimated using the QCP as shown next. The model predicts that 0.3559 failures per system will occur by 36,000 miles. This means that for a fleet of 35,000 vehicles, the expected warranty claims are 0.3559 * 35,000 = 12,456.

	[[Image:rga13.11.png~~\|thumb~~\|center\|450px~~\|Cumulative number of failures at 36,000 miles.~~]]		[[Image:rga13.11.png\|center\|450px]]
	</li>		</li>
	</ol>		</ol>

Chris Kahn at 20:09, 6 February 2014

2014-02-06T20:09:41Z

← Older revision		Revision as of 20:09, 6 February 2014
Line 5:		Line 5:
	This case study is based on the data given in the article "Graphical Analysis of Repair Data" by Dr. Wayne Nelson [[RGA_References\|[23]]]. The following table contains repair data on an automatic transmission from a sample of 34 cars. For each car, the data set shows mileage at the time of each transmission repair, along with the latest mileage. The + indicates the latest mileage observed without failure. Car 1, for example, had a repair at 7068 miles and was observed until 26,744 miles. Do the following:		This case study is based on the data given in the article "Graphical Analysis of Repair Data" by Dr. Wayne Nelson [[RGA_References\|[23]]]. The following table contains repair data on an automatic transmission from a sample of 34 cars. For each car, the data set shows mileage at the time of each transmission repair, along with the latest mileage. The + indicates the latest mileage observed without failure. Car 1, for example, had a repair at 7068 miles and was observed until 26,744 miles. Do the following:

	~~:1)~~ Estimate the parameters of the Power Law model.		#Estimate the parameters of the Power Law model.
	~~:2)~~ Estimate the number of warranty claims for a 36,000 mile warranty policy for an estimated fleet of 35,000 vehicles.		#Estimate the number of warranty claims for a 36,000 mile warranty policy for an estimated fleet of 35,000 vehicles.

	{\|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"		{\|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
Line 55:		Line 55:

	'''Solution'''		'''Solution'''
			<ol>
	~~:1)~~ The estimated Power Law parameters are shown next.		<li>The estimated Power Law parameters are shown next.

	[[Image:rga13.10.png\|thumb\|center\|450px\|Entered transmission data and the estimated Power Law parameters.]]		[[Image:rga13.10.png\|thumb\|center\|450px\|Entered transmission data and the estimated Power Law parameters.]]
			</li>
	~~:2)~~ The expected number of failures at 36,000 miles can be estimated using the QCP as shown next. The model predicts that 0.3559 failures per system will occur by 36,000 miles. This means that for a fleet of 35,000 vehicles, the expected warranty claims are 0.3559 * 35,000 = 12,456.		<li>The expected number of failures at 36,000 miles can be estimated using the QCP as shown next. The model predicts that 0.3559 failures per system will occur by 36,000 miles. This means that for a fleet of 35,000 vehicles, the expected warranty claims are 0.3559 * 35,000 = 12,456.

	[[Image:rga13.11.png\|thumb\|center\|450px\|Cumulative number of failures at 36,000 miles.]]		[[Image:rga13.11.png\|thumb\|center\|450px\|Cumulative number of failures at 36,000 miles.]]
			</li>
			</ol>

Kate Racaza at 18:35, 4 February 2014

2014-02-04T18:35:39Z

← Older revision		Revision as of 18:35, 4 February 2014
Line 1:		Line 1:
	<noinclude>{{Banner RGA Examples}}		<noinclude>{{Banner RGA Examples}}
	''This example ~~appeara~~ in the [[Repairable_Systems_Analysis\|Reliability Growth and Repairable System Analysis Reference book]]''.		''This example appears in the [[Repairable_Systems_Analysis\|Reliability Growth and Repairable System Analysis Reference book]]''.
	</noinclude>		</noinclude>

Kate Racaza at 18:35, 4 February 2014

2014-02-04T18:35:24Z

← Older revision		Revision as of 18:35, 4 February 2014
Line 1:		Line 1:
	<noinclude>{{Banner RGA Examples~~}}{{Navigation box~~}}		<noinclude>{{Banner RGA Examples}}
	''~~These examples appear~~ in the [[Repairable_Systems_Analysis\|Reliability Growth and Repairable System Analysis Reference book]]''.		''This example appeara in the [[Repairable_Systems_Analysis\|Reliability Growth and Repairable System Analysis Reference book]]''.
	</noinclude>		</noinclude>

Kate Racaza: Created page with '{{Banner RGA Examples}}{{Navigation box}} ''These examples appear in the [[Repairable_Systems_Analysis|Reliability Growth and Repairable System Analysis Reference book…'

2014-01-29T19:03:19Z

Created page with '<noinclude>{{Banner RGA Examples}}{{Navigation box}} ''These examples appear in the [[Repairable_Systems_Analysis|Reliability Growth and Repairable System Analysis Reference book…'

New page

<noinclude>{{Banner RGA Examples}}{{Navigation box}}
''These examples appear in the [[Repairable_Systems_Analysis|Reliability Growth and Repairable System Analysis Reference book]]''.
</noinclude>

This case study is based on the data given in the article "Graphical Analysis of Repair Data" by Dr. Wayne Nelson [[RGA_References|[23]]]. The following table contains repair data on an automatic transmission from a sample of 34 cars. For each car, the data set shows mileage at the time of each transmission repair, along with the latest mileage. The + indicates the latest mileage observed without failure. Car 1, for example, had a repair at 7068 miles and was observed until 26,744 miles. Do the following:

:1) Estimate the parameters of the Power Law model.
:2) Estimate the number of warranty claims for a 36,000 mile warranty policy for an estimated fleet of 35,000 vehicles.

{|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
|-
|colspan="5" style="text-align:center"|'''Automatic transmission data'''
|-
!Car
!Mileage
!
!Car
!Mileage
|-
|1|| 7068, 26744+|| || 18|| 17955+
|-
|2|| 28, 13809+|| || 19|| 19507+
|-
|3|| 48, 1440, 29834+|| || 20|| 24177+
|-
|4|| 530, 25660+|| || 21|| 22854+
|-
|5|| 21762+|| || 22|| 17844+
|-
|6|| 14235+|| || 23|| 22637+
|-
|7|| 1388, 18228+|| || 24|| 375, 19607+
|-
|8|| 21401+|| || 25|| 19403+
|-
|9|| 21876+|| || 26|| 20997+
|-
|10|| 5094, 18228+|| || 27|| 19175+
|-
|11|| 21691+|| || 28|| 20425+
|-
|12|| 20890+|| || 29|| 22149+
|-
|13|| 22486+|| || 30|| 21144+
|-
|14|| 19321+|| || 31|| 21237+
|-
|15|| 21585+|| || 32|| 14281+
|-
|16|| 18676+|| || 33|| 8250, 21974+
|-
|17|| 23520+|| || 34|| 19250, 21888+
|}

'''Solution'''

:1) The estimated Power Law parameters are shown next.

[[Image:rga13.10.png|thumb|center|450px|Entered transmission data and the estimated Power Law parameters.]]

:2) The expected number of failures at 36,000 miles can be estimated using the QCP as shown next. The model predicts that 0.3559 failures per system will occur by 36,000 miles. This means that for a fleet of 35,000 vehicles, the expected warranty claims are 0.3559 * 35,000 = 12,456.

[[Image:rga13.11.png|thumb|center|450px|Cumulative number of failures at 36,000 miles.]]