Growth Plan for Three Phases - Revision history

Lisa Hacker at 20:53, 18 September 2023

2023-09-18T20:53:47Z

← Older revision		Revision as of 20:53, 18 September 2023
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	<noinclude>{{Banner RGA Examples}}		<noinclude>{{Banner RGA Examples}}
	''This example appears in the [~~[Reliability_Growth_Planning\|~~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>

Kate Racaza at 21:39, 31 January 2017

2017-01-31T21:39:11Z

← Older revision		Revision as of 21:39, 31 January 2017
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	</noinclude>		</noinclude>

	A complex system is under design. The reliability team wants to create an overall reliability growth plan based on the Crow ~~extended~~ model. The inputs to the model are the following:		A complex system is under design. The reliability team wants to create an overall reliability growth plan based on the Crow Extended model. The inputs to the model are the following:

	*The requirement or goal MTBF is <math>{{M}_{G}}=56\,\!</math> hours.		*The requirement or goal MTBF is <math>{{M}_{G}}=56\,\!</math> hours.
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	[[Image:rga11.1.png\|center\|650px\|link=]]		[[Image:rga11.1.png\|center\|650px\|link=]]

	We then enter the remaining input needed by the Crow ~~extended~~ model, as shown in the following figure.		We then enter the remaining input needed by the Crow Extended model, as shown in the following figure.

	[[Image:rga11.2.png\|center\|650px\|link=]]		[[Image:rga11.2.png\|center\|650px\|link=]]

	The input provided is the required MTBF goal of 56, the growth potential design margin of 1.35, the management strategy of 0.95 and the discovery beta of 0.7. The results show the initialization time, <math>{{t}_{o}}\,\!</math>, the initial MTBF, the final actual MTBF that can be reached for this growth program and the actual time when the MTBF goal is met. Note that in this case we provided the goal MTBF and solved for the initial MTBF.		The input provided is the required MTBF goal of 56, the growth potential design margin of 1.35, the management strategy of 0.95 and the discovery beta of 0.7. The results show the initialization time, <math>{{t}_{o}}\,\!</math>, the initial MTBF, the final actual MTBF that can be reached for this growth program and the actual time when the MTBF goal is met. Note that in this case we provided the goal MTBF and solved for the initial MTBF.

	Different calculation options are available depending on the desired input and output. For example, we could provide the initial and goal MTBF ~~and~~ solve for the growth potential design margin, as shown in the figure below.		Different calculation options are available depending on the desired input and output. For example, we could provide the initial and goal MTBF to solve for the growth potential design margin, as shown in the figure below.

	[[Image:rga11.3.png\|center\|650px\|link=]]		[[Image:rga11.3.png\|center\|650px\|link=]]

Kate Racaza at 18:38, 31 January 2017

2017-01-31T18:38:35Z

← Older revision		Revision as of 18:38, 31 January 2017
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	</li>		</li>
	<li>To use RGA to obtain the results for this example, first we create a growth planning folio by choosing '''Insert > ~~Folios~~ > Growth Planning'''. In the growth planning folio, specify the number of phases, the cumulative phase time and average fix delays for each of the three phases, as shown in the figure below.		<li>To use RGA to obtain the results for this example, first we create a growth planning folio by choosing '''Insert > Test and Planning > Continuous Growth Planning'''. In the growth planning folio, specify the number of phases, the cumulative phase time and average fix delays for each of the three phases, as shown in the figure below.

	[[Image:rga11.1.png\|center\|~~450px~~]]		[[Image:rga11.1.png\|center\|650px\|link=]]

	We then enter the remaining input needed by the Crow extended model, as shown in the following figure.		We then enter the remaining input needed by the Crow extended model, as shown in the following figure.

	[[Image:rga11.2.png\|center\|~~450px~~]]		[[Image:rga11.2.png\|center\|650px\|link=]]

	The input provided is the required MTBF goal of 56, the growth potential design margin of 1.35, the management strategy of 0.95 and the discovery beta of 0.7. The results show the initialization time, <math>{{t}_{o}}\,\!</math>, the initial MTBF, the final actual MTBF that can be reached for this growth program and the actual time when the MTBF goal is met. Note that in this case we provided the goal MTBF and solved for the initial MTBF.		The input provided is the required MTBF goal of 56, the growth potential design margin of 1.35, the management strategy of 0.95 and the discovery beta of 0.7. The results show the initialization time, <math>{{t}_{o}}\,\!</math>, the initial MTBF, the final actual MTBF that can be reached for this growth program and the actual time when the MTBF goal is met. Note that in this case we provided the goal MTBF and solved for the initial MTBF.
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	Different calculation options are available depending on the desired input and output. For example, we could provide the initial and goal MTBF and solve for the growth potential design margin, as shown in the figure below.		Different calculation options are available depending on the desired input and output. For example, we could provide the initial and goal MTBF and solve for the growth potential design margin, as shown in the figure below.

	[[Image:rga11.3.png\|center\|~~450px~~]]		[[Image:rga11.3.png\|center\|650px\|link=]]

	Click the '''Plot''' icon to generate a plot that shows the nominal and actual idealized growth curve, the test termination time, the MTBF goal and the planned growth for each phase, as shown in the figure below.		Click the '''Plot''' icon to generate a plot that shows the nominal and actual idealized growth curve, the test termination time, the MTBF goal and the planned growth for each phase, as shown in the figure below.

	[[Image:rga11.5.png\|center\|~~450px~~]]		[[Image:rga11.5.png\|center\|650px\|link=]]
	</li>		</li>
	</ol>		</ol>

Kate Racaza: updated link to "Actual Time to Reach Goal" section

2017-01-31T18:20:52Z

updated link to "Actual Time to Reach Goal" section

← Older revision		Revision as of 18:20, 31 January 2017
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	</li>		</li>
	<li>From question 11, it is shown that the actual final MTBF that can be reached at 4,500 hours of test time is less than the MTBF goal for the program. So, in accordance with the third case that is described in [[~~Reliability_Growth_Planning~~#Actual_Time_to_Reach_Goal\|Actual Time to Reach Goal]] section, this is the scenario where the actual time to meet the MTBF goal will not be calculated since the reliability growth program needs to be redesigned.		<li>From question 11, it is shown that the actual final MTBF that can be reached at 4,500 hours of test time is less than the MTBF goal for the program. So, in accordance with the third case that is described in [[Continuous_Reliability_Growth_Planning#Actual_Time_to_Reach_Goal\|Actual Time to Reach Goal]] section, this is the scenario where the actual time to meet the MTBF goal will not be calculated since the reliability growth program needs to be redesigned.
	</li>		</li>
	<li>The failure intensity that can be reached at the end of the last test phase based on the actual idealized growth curve for <math>T={{T}_{3}}=6000\,\!</math> hours is given by:		<li>The failure intensity that can be reached at the end of the last test phase based on the actual idealized growth curve for <math>T={{T}_{3}}=6000\,\!</math> hours is given by:

David J. Groebel at 19:35, 2 June 2014

2014-06-02T19:35:46Z

← Older revision		Revision as of 19:35, 2 June 2014
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	We then enter the remaining input needed by the Crow extended model, as shown in the following figure.		We then enter the remaining input needed by the Crow extended model, as shown in the following figure.

	[[Image:rga11.2.png~~\|thumb~~\|center\|450px~~\|Inputs for the Crow Extended model, when calculating the initial MTBF.~~]]		[[Image:rga11.2.png\|center\|450px]]

	The input provided is the required MTBF goal of 56, the growth potential design margin of 1.35, the management strategy of 0.95 and the discovery beta of 0.7. The results show the initialization time, <math>{{t}_{o}}\,\!</math>, the initial MTBF, the final actual MTBF that can be reached for this growth program and the actual time when the MTBF goal is met. Note that in this case we provided the goal MTBF and solved for the initial MTBF.		The input provided is the required MTBF goal of 56, the growth potential design margin of 1.35, the management strategy of 0.95 and the discovery beta of 0.7. The results show the initialization time, <math>{{t}_{o}}\,\!</math>, the initial MTBF, the final actual MTBF that can be reached for this growth program and the actual time when the MTBF goal is met. Note that in this case we provided the goal MTBF and solved for the initial MTBF.

David J. Groebel at 19:35, 2 June 2014

2014-06-02T19:35:18Z

← Older revision		Revision as of 19:35, 2 June 2014
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	<li>To use RGA to obtain the results for this example, first we create a growth planning folio by choosing '''Insert > Folios > Growth Planning'''. In the growth planning folio, specify the number of phases, the cumulative phase time and average fix delays for each of the three phases, as shown in the figure below.		<li>To use RGA to obtain the results for this example, first we create a growth planning folio by choosing '''Insert > Folios > Growth Planning'''. In the growth planning folio, specify the number of phases, the cumulative phase time and average fix delays for each of the three phases, as shown in the figure below.

	[[Image:rga11.1.png~~\|thumb~~\|center\|450px~~\|Specifying number of phases, phase time and average fix delay.~~]]		[[Image:rga11.1.png\|center\|450px]]

	We then enter the remaining input needed by the Crow extended model, as shown in the following figure.		We then enter the remaining input needed by the Crow extended model, as shown in the following figure.
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	Different calculation options are available depending on the desired input and output. For example, we could provide the initial and goal MTBF and solve for the growth potential design margin, as shown in the figure below.		Different calculation options are available depending on the desired input and output. For example, we could provide the initial and goal MTBF and solve for the growth potential design margin, as shown in the figure below.

	[[Image:rga11.3.png~~\|thumb~~\|center\|450px~~\|Inputs for the Crow Extended model when calculating the Growth Potential Design Margin.~~]]		[[Image:rga11.3.png\|center\|450px]]

	Click the '''Plot''' icon to generate a plot that shows the nominal and actual idealized growth curve, the test termination time, the MTBF goal and the planned growth for each phase, as shown in the figure below.		Click the '''Plot''' icon to generate a plot that shows the nominal and actual idealized growth curve, the test termination time, the MTBF goal and the planned growth for each phase, as shown in the figure below.

	[[Image:rga11.5.png~~\|thumb~~\|center\|450px~~\|Growth planning plot.~~]]		[[Image:rga11.5.png\|center\|450px]]
	</li>		</li>
	</ol>		</ol>

David J. Groebel at 21:45, 22 April 2014

2014-04-22T21:45:32Z

Show changes

Chris Kahn at 20:18, 6 February 2014

2014-02-06T20:18:18Z

← Older revision		Revision as of 20:18, 6 February 2014
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	*The beta parameter for the discovery function, <math>h\left( t \right),\,\!</math> of the type B failure modes is <math>\beta =0.7.\,\!</math>		*The beta parameter for the discovery function, <math>h\left( t \right),\,\!</math> of the type B failure modes is <math>\beta =0.7.\,\!</math>
	*The test will be conducted in three phases. The cumulative phase end times are <math>{{T}_{1}}=1500,{{T}_{2}}=3500\,\!</math> and <math>{{T}_{3}}=4500\,\!</math> hours. The average fix delays for each phase are <math>{{L}_{1}}=500\,\!</math>, <math>{{L}_{2}}=700\,\!</math> and <math>{{L}_{3}}=1000\,\!</math> test hours, respectively.		*The test will be conducted in three phases. The cumulative phase end times are <math>{{T}_{1}}=1500,{{T}_{2}}=3500\,\!</math> and <math>{{T}_{3}}=4500\,\!</math> hours. The average fix delays for each phase are <math>{{L}_{1}}=500\,\!</math>, <math>{{L}_{2}}=700\,\!</math> and <math>{{L}_{3}}=1000\,\!</math> test hours, respectively.


	Find the following:		Find the following:

Chris Kahn at 20:18, 6 February 2014

2014-02-06T20:18:10Z

Show changes

Kate Racaza at 16:45, 5 February 2014

2014-02-05T16:45:03Z

← Older revision		Revision as of 16:45, 5 February 2014
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	<noinclude>{{Banner RGA Examples~~}}{{Navigation box~~}}		<noinclude>{{Banner RGA Examples}}
	''This example appears in the [[Reliability_Growth_Planning\|Reliability Growth and Repairable System Analysis Reference book]]''.		''This example appears in the [[Reliability_Growth_Planning\|Reliability Growth and Repairable System Analysis Reference book]]''.
	</noinclude>		</noinclude>