Logistic Model - Missile Launch Test Example - Revision history

Lisa Hacker at 21:23, 18 September 2023

2023-09-18T21:23:13Z

← Older revision		Revision as of 21:23, 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 17:01, 20 June 2014

2014-06-20T17:01:15Z

← Older revision		Revision as of 17:01, 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:rga8.11.png\|center\|600px~~\|Entered data and the estimated logistic parameters.~~]]</li>		[[Image:rga8.11.png\|center\|600px]]</li>
	<li>The next figure displays the Reliability vs. Time plot.		<li>The next figure displays the Reliability vs. Time plot.
	<br>		<br>
	[[Image:rga8.12.png\|center\|450px~~\|Reliability vs. Time plot.~~]]</li>		[[Image:rga8.12.png\|center\|450px]]</li>
	<li>The next figure displays the number of launches before the reliability goal of 99.5% will be achieved with a 90% confidence level.		<li>The next figure displays the number of launches before the reliability goal of 99.5% will be achieved with a 90% confidence level.
	<br>		<br>
	[[Image:rga8.13.png\|center\|450px~~\|When the reliability goal of 99.5% with a 90% confidence level will be achieved.~~]]</li>		[[Image:rga8.13.png\|center\|450px]]</li>
	<li>The next figure displays the reliability achieved after the 35th launch.		<li>The next figure displays the reliability achieved after the 35th launch.
	<br>		<br>
	[[Image:rga8.14.png\|center\|450px~~\|The reliability at the end of the 35th launch.~~]]</li>		[[Image:rga8.14.png\|center\|450px]]</li>
	</ol>		</ol>

David J. Groebel at 17:00, 20 June 2014

2014-06-20T17:00:41Z

← Older revision		Revision as of 17:00, 20 June 2014
Line 60:		Line 60:
	<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:rga8.11.png\|center\|~~650px~~\|Entered data and the estimated logistic parameters.]]</li>		[[Image:rga8.11.png\|center\|600px\|Entered data and the estimated logistic parameters.]]</li>
	<li>The next figure displays the Reliability vs. Time plot.		<li>The next figure displays the Reliability vs. Time plot.
	<br>		<br>
	[[Image:rga8.12.png\|center\|~~400px~~\|Reliability vs. Time plot.]]</li>		[[Image:rga8.12.png\|center\|450px\|Reliability vs. Time plot.]]</li>
	<li>The next figure displays the number of launches before the reliability goal of 99.5% will be achieved with a 90% confidence level.		<li>The next figure displays the number of launches before the reliability goal of 99.5% will be achieved with a 90% confidence level.
	<br>		<br>
	[[Image:rga8.13.png\|center\|~~400px~~\|When the reliability goal of 99.5% with a 90% confidence level will be achieved.]]</li>		[[Image:rga8.13.png\|center\|450px\|When the reliability goal of 99.5% with a 90% confidence level will be achieved.]]</li>
	<li>The next figure displays the reliability achieved after the 35th launch.		<li>The next figure displays the reliability achieved after the 35th launch.
	<br>		<br>
	[[Image:rga8.14.png\|center\|~~400px~~\|The reliability at the end of the 35th launch.]]</li>		[[Image:rga8.14.png\|center\|450px\|The reliability at the end of the 35th launch.]]</li>
	</ol>		</ol>

Chris Kahn at 17:22, 12 June 2014

2014-06-12T17:22:14Z

← Older revision		Revision as of 17:22, 12 June 2014
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	<li>The next figure displays the number of launches before the reliability goal of 99.5% will be achieved with a 90% confidence level.		<li>The next figure displays the number of launches before the reliability goal of 99.5% will be achieved with a 90% confidence level.
	<br>		<br>
	[[Image:rga8.13.png~~\|thumb~~\|center\|400px\|When the reliability goal of 99.5% with a 90% confidence level will be achieved.]]</li>		[[Image:rga8.13.png\|center\|400px\|When the reliability goal of 99.5% with a 90% confidence level will be achieved.]]</li>
	<li>The next figure displays the reliability achieved after the 35th launch.		<li>The next figure displays the reliability achieved after the 35th launch.
	<br>		<br>
	[[Image:rga8.14.png\|center\|400px\|The reliability at the end of the 35th launch.]]</li>		[[Image:rga8.14.png\|center\|400px\|The reliability at the end of the 35th launch.]]</li>
	</ol>		</ol>

Chris Kahn at 17:22, 12 June 2014

2014-06-12T17:22:02Z

← Older revision		Revision as of 17:22, 12 June 2014
Line 60:		Line 60:
	<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:rga8.11.png~~\|thumb~~\|center\|650px\|Entered data and the estimated logistic parameters.]]</li>		[[Image:rga8.11.png\|center\|650px\|Entered data and the estimated logistic parameters.]]</li>
	<li>The next figure displays the Reliability vs. Time plot.		<li>The next figure displays the Reliability vs. Time plot.
	<br>		<br>
	[[Image:rga8.12.png~~\|thumb~~\|center\|400px\|Reliability vs. Time plot.]]</li>		[[Image:rga8.12.png\|center\|400px\|Reliability vs. Time plot.]]</li>
	<li>The next figure displays ~~when~~ the reliability goal of 99.5% will be achieved with a 90% confidence level.		<li>The next figure displays the number of launches before the reliability goal of 99.5% will be achieved with a 90% confidence level.
	<br>		<br>
	[[Image:rga8.13.png\|thumb\|center\|400px\|When the reliability goal of 99.5% with a 90% confidence level will be achieved.]]</li>		[[Image:rga8.13.png\|thumb\|center\|400px\|When the reliability goal of 99.5% with a 90% confidence level will be achieved.]]</li>
	<li>The next figure displays the reliability achieved after the 35th launch.		<li>The next figure displays the reliability achieved after the 35th launch.
	<br>		<br>
	[[Image:rga8.14.png~~\|thumb~~\|center\|400px\|The reliability at the end of the 35th launch.]]</li>		[[Image:rga8.14.png\|center\|400px\|The reliability at the end of the 35th launch.]]</li>
	</ol>		</ol>

Chris Kahn at 16:52, 12 June 2014

2014-06-12T16:52:41Z

← Older revision		Revision as of 16:52, 12 June 2014
Line 11:		Line 11:

	{\|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"		{\|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
	\|+'''Sequential ~~success~~/~~failure data~~'''		\|+'''Sequential Success/Failure Data'''
	!Launch Number		!Launch Number
	!Result		!Result

David J. Groebel at 18:23, 29 May 2014

2014-05-29T18:23:14Z

← Older revision		Revision as of 18:23, 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>

Line 60:		Line 60:
	<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:rga8.11.png\|thumb\|center\|~~400px~~\|Entered data and the estimated logistic parameters.]]</li>		[[Image:rga8.11.png\|thumb\|center\|650px\|Entered data and the estimated logistic parameters.]]</li>
	<li>The next figure displays the Reliability vs. Time plot.		<li>The next figure displays the Reliability vs. Time plot.
	<br>		<br>

Kate Racaza at 17:48, 4 February 2014

2014-02-04T17:48:53Z

← Older revision		Revision as of 17:48, 4 February 2014
Line 3:		Line 3:
	</noinclude>		</noinclude>

	The ~~next~~ table presents the results for a missile launch test. The test consisted of 20 attempts. If the missile launched, it was recorded as a success. If not, it was recorded as a failure. Note that, at this development stage, the test did not consider whether or not the target was destroyed.		The following table presents the results for a missile launch test. The test consisted of 20 attempts. If the missile launched, it was recorded as a success. If not, it was recorded as a failure. Note that, at this development stage, the test did not consider whether or not the target was destroyed.

	#Find a Logistic reliability growth curve that best represents the data.		#Find a Logistic reliability growth curve that best represents the data.

Chris Kahn at 23:26, 31 January 2014

2014-01-31T23:26:34Z

← Older revision		Revision as of 23:26, 31 January 2014
Line 5:		Line 5:
	The next table presents the results for a missile launch test. The test consisted of 20 attempts. If the missile launched, it was recorded as a success. If not, it was recorded as a failure. Note that, at this development stage, the test did not consider whether or not the target was destroyed.		The next table presents the results for a missile launch test. The test consisted of 20 attempts. If the missile launched, it was recorded as a success. If not, it was recorded as a failure. Note that, at this development stage, the test did not consider whether or not the target was destroyed.

	~~: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 99.5% with a 90% confidence level be achieved?		#If design changes continue to be incorporated and the testing continues, when will the reliability goal of 99.5% with a 90% confidence level be achieved?
	~~:4)~~ If design changes continue to be incorporated and the testing continues, what will be the attainable reliability at the end of the 35th launch?		#If design changes continue to be incorporated and the testing continues, what will be the attainable reliability at the end of the 35th launch?

	{\|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 57:		Line 57:

	'''Solution'''		'''Solution'''
			<ol>
			<li>The next figure shows the entered data and the estimated parameters.
	<br>		<br>
	:~~1) The next figure shows the entered~~ data and the estimated parameters.		[[Image:rga8.11.png\|thumb\|center\|400px\|Entered data and the estimated logistic parameters.]]</li>
			<li>The next figure displays the Reliability vs. Time plot.
	<br>		<br>
	[[Image:rga8.11.png\|thumb\|center\|400px\|~~Entered data and the estimated logistic parameters~~.]]		[[Image:rga8.12.png\|thumb\|center\|400px\|Reliability vs. Time plot.]]</li>
			<li>The next figure displays when the reliability goal of 99.5% will be achieved with a 90% confidence level.
	<br>		<br>
	:2) The next figure displays the ~~Reliability vs. Time plot~~.		[[Image:rga8.13.png\|thumb\|center\|400px\|When the reliability goal of 99.5% with a 90% confidence level will be achieved.]]</li>
			<li>The next figure displays the reliability achieved after the 35th launch.
	<br>		<br>
	~~[[Image:rga8.12.png\|thumb\|center\|400px\|Reliability vs. Time plot.]]~~		[[Image:rga8.14.png\|thumb\|center\|400px\|The reliability at the end of the 35th launch.]]</li>
	~~<br>~~		</ol>
	~~:3) The next figure displays when the reliability goal of 99.5% will be achieved with a 90% confidence level.~~
	~~<br>~~
	~~[[Image:rga8.13.png\|thumb\|center\|400px\|When the reliability goal of 99.5% with a 90% confidence level will be achieved.]]~~
	~~<br>~~
	~~:4) The next figure displays the reliability achieved after the 35th launch.~~
	~~<br>~~
	[[Image:rga8.14.png\|thumb\|center\|400px\|The reliability at the end of the 35th launch.]]

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

2014-01-21T21:23:45Z

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

New page

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

The next table presents the results for a missile launch test. The test consisted of 20 attempts. If the missile launched, it was recorded as a success. If not, it was recorded as a failure. Note that, at this development stage, the test did not consider whether or not the target was destroyed.

: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 99.5% with a 90% confidence level be achieved?
:4) If design changes continue to be incorporated and the testing continues, what will be the attainable reliability at the end of the 35th launch?

{|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
|+'''Sequential success/failure data'''
!Launch Number
!Result
|-
|1|| F
|-
|2|| F
|-
|3|| S
|-
|4|| F
|-
|5|| F
|-
|6|| S
|-
|7|| S
|-
|8|| S
|-
|9|| F
|-
|10|| S
|-
|11|| F
|-
|12|| S
|-
|13|| S
|-
|14|| S
|-
|15|| S
|-
|16|| S
|-
|17|| S
|-
|18|| S
|-
|19|| S
|-
|20|| S
|}

'''Solution'''
 
:1) The next figure shows the entered data and the estimated parameters.
 
[[Image:rga8.11.png|thumb|center|400px|Entered data and the estimated logistic parameters.]]
 
:2) The next figure displays the Reliability vs. Time plot.
 
[[Image:rga8.12.png|thumb|center|400px|Reliability vs. Time plot.]]
 
:3) The next figure displays when the reliability goal of 99.5% will be achieved with a 90% confidence level.
 
[[Image:rga8.13.png|thumb|center|400px|When the reliability goal of 99.5% with a 90% confidence level will be achieved.]]
 
:4) The next figure displays the reliability achieved after the 35th launch.
 
[[Image:rga8.14.png|thumb|center|400px|The reliability at the end of the 35th launch.]]