Warranty Analysis Non-Homogeneous Data Example - Revision history

Lisa Hacker at 18:54, 18 September 2023

2023-09-18T18:54:39Z

← Older revision		Revision as of 18:54, 18 September 2023
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	<noinclude>{{Banner Weibull Examples}}		<noinclude>{{Banner Weibull Examples}}
	''This example appears in the [~~[Warranty_Data_Analysis#Analysis_of_Non-Homogeneous_Warranty_Data\|~~Life ~~Data Analysis Reference book]~~]''.		''This example appears in the [https://help.reliasoft.com/reference/life_data_analysis Life data analysis reference]''.

Richard House at 21:51, 26 September 2012

2012-09-26T21:51:04Z

← Older revision		Revision as of 21:51, 26 September 2012
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	\text{1300} & \text{6/1/2005} & \text{Model C} \\		\text{1300} & \text{6/1/2005} & \text{Model C} \\
	\text{1400} & \text{8/26/2005} & \text{Model C} \\		\text{1400} & \text{8/26/2005} & \text{Model C} \\
	\end{matrix}</math></center>		\end{matrix}\,\!</math></center>

	Furthermore, the following sales are forecast:		Furthermore, the following sales are forecast:
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	\text{1300} & \text{9/27/2006} & \text{Model C} \\		\text{1300} & \text{9/27/2006} & \text{Model C} \\
	\text{1250} & \text{11/26/2006} & \text{Model C} \\		\text{1250} & \text{11/26/2006} & \text{Model C} \\
	\end{matrix}</math></center>		\end{matrix}\,\!</math></center>

	The return data are as follows. Note that in order to identify which lot each unit comes from, and to be able to compute its time-in-service, each return (failure) includes a return date, the date of when it was put in service and the model ID.		The return data are as follows. Note that in order to identify which lot each unit comes from, and to be able to compute its time-in-service, each return (failure) includes a return date, the date of when it was put in service and the model ID.
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	\text{44} & \text{1/26/2006} & \text{6/1/2005} & \text{Model C} \\		\text{44} & \text{1/26/2006} & \text{6/1/2005} & \text{Model C} \\
	\text{26} & \text{1/26/2006} & \text{8/26/2005} & \text{Model C} \\		\text{26} & \text{1/26/2006} & \text{8/26/2005} & \text{Model C} \\
	\end{matrix}</math></center>		\end{matrix}\,\!</math></center>

	Assuming that the given information is current as of 5/1/2006, analyze the data using the lognormal distribution and MLE analysis method for all models (Model A, Model B, Model C), and provide a return forecast for the next ten months.		Assuming that the given information is current as of 5/1/2006, analyze the data using the lognormal distribution and MLE analysis method for all models (Model A, Model B, Model C), and provide a return forecast for the next ten months.
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	{{{\hat{\sigma }}}_{T}}= & \text{1}\text{.92} \\		{{{\hat{\sigma }}}_{T}}= & \text{1}\text{.92} \\
	\end{matrix} \\		\end{matrix} \\
	\end{matrix}</math></center>		\end{matrix}\,\!</math></center>

	Note that in this example, the same distribution and analysis method were assumed for each of the product models. If desired, different distribution types, analysis methods, confidence bounds methods, etc., can be assumed for each IDs.		Note that in this example, the same distribution and analysis method were assumed for each of the product models. If desired, different distribution types, analysis methods, confidence bounds methods, etc., can be assumed for each IDs.

Richard House at 07:53, 7 August 2012

2012-08-07T07:53:05Z

← Older revision		Revision as of 07:53, 7 August 2012
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	A company keeps track of its production and returns. The company uses the dates of failure format to record the data. For the product in question, three versions (A, B and C) have been produced and put in service. The in-service data is as follows (using the Month/Day/Year date format):		A company keeps track of its production and returns. The company uses the dates of failure format to record the data. For the product in question, three versions (A, B and C) have been produced and put in service. The in-service data is as follows (using the Month/Day/Year date format):


	<center><math>\begin{matrix}		<center><math>\begin{matrix}
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	Furthermore, the following sales are forecast:		Furthermore, the following sales are forecast:


	<center><math>\begin{matrix}		<center><math>\begin{matrix}
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	The return data are as follows. Note that in order to identify which lot each unit comes from, and to be able to compute its time-in-service, each return (failure) includes a return date, the date of when it was put in service and the model ID.		The return data are as follows. Note that in order to identify which lot each unit comes from, and to be able to compute its time-in-service, each return (failure) includes a return date, the date of when it was put in service and the model ID.


	<center><math>\begin{matrix}		<center><math>\begin{matrix}
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	\text{26} & \text{1/26/2006} & \text{8/26/2005} & \text{Model C} \\		\text{26} & \text{1/26/2006} & \text{8/26/2005} & \text{Model C} \\
	\end{matrix}</math></center>		\end{matrix}</math></center>


	Assuming that the given information is current as of 5/1/2006, analyze the data using the lognormal distribution and MLE analysis method for all models (Model A, Model B, Model C), and provide a return forecast for the next ten months.		Assuming that the given information is current as of 5/1/2006, analyze the data using the lognormal distribution and MLE analysis method for all models (Model A, Model B, Model C), and provide a return forecast for the next ten months.

Richard House at 07:17, 6 August 2012

2012-08-06T07:17:06Z

← Older revision		Revision as of 07:17, 6 August 2012
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	Assuming that the given information is current as of 5/1/2006, analyze the data using the lognormal distribution and MLE analysis method for all models (Model A, Model B, Model C), and provide a return forecast for the next ten months.		Assuming that the given information is current as of 5/1/2006, analyze the data using the lognormal distribution and MLE analysis method for all models (Model A, Model B, Model C), and provide a return forecast for the next ten months.


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

	Create a warranty analysis folio and select the dates of failure format. Enter the data from the tables in the '''Sales''', '''Returns''' and '''Future Sales''' sheets. On the control panel, select the '''Use Subsets''' check box, as shown next. This allows the software to separately analyze each subset of data. Use the drop-down list to switch between subset IDs and alter the analysis settings (use the lognormal distribution and MLE analysis method for all models).		Create a warranty analysis folio and select the dates of failure format. Enter the data from the tables in the '''Sales''', '''Returns''' and '''Future Sales''' sheets. On the control panel, select the '''Use Subsets''' check box, as shown next. This allows the software to separately analyze each subset of data. Use the drop-down list to switch between subset IDs and alter the analysis settings (use the lognormal distribution and MLE analysis method for all models).

			[[Image:Non-Homogeneous End Date.PNG\|center\|250px\| ]]
	[[Image:Non-Homogeneous End Date.PNG\|center\|~~450px~~\| ]]


	In the '''End of Observation Period''' field, enter '''5/1/2006''', and then calculate the parameters. The results are:		In the '''End of Observation Period''' field, enter '''5/1/2006''', and then calculate the parameters. The results are:


	<center><math>\begin{matrix}		<center><math>\begin{matrix}
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	\end{matrix} \\		\end{matrix} \\
	\end{matrix}</math></center>		\end{matrix}</math></center>


	Note that in this example, the same distribution and analysis method were assumed for each of the product models. If desired, different distribution types, analysis methods, confidence bounds methods, etc., can be assumed for each IDs.		Note that in this example, the same distribution and analysis method were assumed for each of the product models. If desired, different distribution types, analysis methods, confidence bounds methods, etc., can be assumed for each IDs.

	To obtain the expected failures for the next 10 months, click the '''Generate Forecast''' icon. In the Forecast Setup window, set the forecast to start on '''May 2, 2006''' and set the number of forecast periods to '''10'''. Set the increment (length of each period) to '''1 Month''', as shown next.		To obtain the expected failures for the next 10 months, click the '''Generate Forecast''' icon. In the Forecast Setup window, set the forecast to start on '''May 2, 2006''' and set the number of forecast periods to '''10'''. Set the increment (length of each period) to '''1 Month''', as shown next.


	[[Image:Non-Homogeneous Forecast Setup.PNG\|center\|450px\| ]]		[[Image:Non-Homogeneous Forecast Setup.PNG\|center\|450px\| ]]


	Click '''OK'''. A Forecast sheet will be created, with the predicted future returns. The following figure shows part of the Forecast sheet.		Click '''OK'''. A Forecast sheet will be created, with the predicted future returns. The following figure shows part of the Forecast sheet.


	[[Image:Non-Homogeneous Forecast Data.PNG\|center\|550px\| ]]		[[Image:Non-Homogeneous Forecast Data.PNG\|center\|550px\| ]]


	To view a summary of the analysis, click the '''Show Analysis Summary (...)''' button. The following figure shows the summary of the forecasted returns.		To view a summary of the analysis, click the '''Show Analysis Summary (...)''' button. The following figure shows the summary of the forecasted returns.


	[[Image:Non-Homogeneous Analysis Summary.PNG\|center\|450px\| ]]		[[Image:Non-Homogeneous Analysis Summary.PNG\|center\|450px\| ]]


	Click the '''Plot''' icon and choose the '''Expected Failures''' plot. The plot displays the predicted number of returns for each month, as shown next.		Click the '''Plot''' icon and choose the '''Expected Failures''' plot. The plot displays the predicted number of returns for each month, as shown next.


	[[Image:Non-Homogeneous Expected Failure.PNG\|center\|550px\| ]]		[[Image:Non-Homogeneous Expected Failure.PNG\|center\|550px\| ]]

Richard House at 07:16, 6 August 2012

2012-08-06T07:16:19Z

← Older revision		Revision as of 07:16, 6 August 2012
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	[[Image:Non-Homogeneous End Date.PNG~~\|thumb~~\|center\|450px\| ]]		[[Image:Non-Homogeneous End Date.PNG\|center\|450px\| ]]


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	[[Image:Non-Homogeneous Forecast Setup.PNG~~\|thumb~~\|center\|450px\| ]]		[[Image:Non-Homogeneous Forecast Setup.PNG\|center\|450px\| ]]


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	[[Image:Non-Homogeneous Forecast Data.PNG~~\|thumb~~\|center\|550px\| ]]		[[Image:Non-Homogeneous Forecast Data.PNG\|center\|550px\| ]]


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	[[Image:Non-Homogeneous Analysis Summary.PNG~~\|thumb~~\|center\|450px\| ]]		[[Image:Non-Homogeneous Analysis Summary.PNG\|center\|450px\| ]]


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	[[Image:Non-Homogeneous Expected Failure.PNG~~\|thumb~~\|center\|550px\| ]]		[[Image:Non-Homogeneous Expected Failure.PNG\|center\|550px\| ]]

Richard House at 07:46, 3 August 2012

2012-08-03T07:46:29Z

← Older revision		Revision as of 07:46, 3 August 2012
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	[[Image:Non-Homogeneous Forecast Data.PNG\|thumb\|center\|~~450px~~\| ]]		[[Image:Non-Homogeneous Forecast Data.PNG\|thumb\|center\|550px\| ]]


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	[[Image:Non-Homogeneous Expected Failure.PNG\|thumb\|center\|~~450px~~\| ]]		[[Image:Non-Homogeneous Expected Failure.PNG\|thumb\|center\|550px\| ]]

Kate Racaza at 09:08, 26 July 2012

2012-07-26T09:08:53Z

← Older revision		Revision as of 09:08, 26 July 2012
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	<noinclude>{{Banner Weibull Examples}}		<noinclude>{{Banner Weibull Examples}}
	'''This example appears in the [[Warranty_Data_Analysis#Analysis_of_Non-Homogeneous_Warranty_Data\|Life Data Analysis Reference book]]'''.		''This example appears in the [[Warranty_Data_Analysis#Analysis_of_Non-Homogeneous_Warranty_Data\|Life Data Analysis Reference book]]''.

Kate Racaza: updated example

2012-07-26T06:54:26Z

updated example

← Older revision		Revision as of 06:54, 26 July 2012
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	'''~~Warranty Analysis Non~~-~~Homogeneous~~ Data ~~Example~~'''		<noinclude>{{Banner Weibull Examples}}
			'''This example appears in the [[Warranty_Data_Analysis#Analysis_of_Non-Homogeneous_Warranty_Data\|Life Data Analysis Reference book]]'''.

	A company keeps track of its production and returns. The company uses the '''Dates of Failure''' format to record the data. For the product in question, three versions (A, B and C) have been produced and put in service.

	The in-service data is as follows (using the ~~US date format of~~ Month/Day/Year):		</noinclude>'''Warranty Analysis Non-Homogeneous Data Example'''

			A company keeps track of its production and returns. The company uses the dates of failure format to record the data. For the product in question, three versions (A, B and C) have been produced and put in service. The in-service data is as follows (using the Month/Day/Year date format):


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	\end{matrix}</math></center>		\end{matrix}</math></center>

	The return data are as follows. Note that in order to identify which lot each unit comes from and be able to compute its time-in-service, each return (failure) includes a return date, the date of when it was put in service and the ~~Model (~~ID).		The return data are as follows. Note that in order to identify which lot each unit comes from, and to be able to compute its time-in-service, each return (failure) includes a return date, the date of when it was put in service and the model ID.


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	Assuming that the ~~above~~ information is as of 5/1/2006, analyze the data using the lognormal ~~as the assumed~~ distribution and MLE ~~as the~~ analysis method, for all models (Model A, Model B, Model C), and provide a return forecast for the next ten months.		Assuming that the given information is current as of 5/1/2006, analyze the data using the lognormal distribution and MLE analysis method for all models (Model A, Model B, Model C), and provide a return forecast for the next ten months.


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

	Create a warranty folio ~~by clicking on Project~~ and ~~choosing Add Specialized Folio~~ and ~~then selecting Add Warranty~~. In the ~~New Warranty Folio Setup window~~, ~~choose~~ ''~~I want to enter data in dates of failure format~~''.		Create a warranty analysis folio and select the dates of failure format. Enter the data from the tables in the '''Sales''', '''Returns''' and '''Future Sales''' sheets. On the control panel, select the '''Use Subsets''' check box, as shown next. This allows the software to separately analyze each subset of data. Use the drop-down list to switch between subset IDs and alter the analysis settings (use the lognormal distribution and MLE analysis method for all models).

	~~[[Image:dates-~~of~~-failurewarranty~~.~~png\|thumb\|center\|250px\| ]]~~

	~~The return data are entered as follows:~~

	~~[[Image:Non~~-~~Homogeneous Return Data~~.~~PNG\|thumb\|center\|250px\| ]]~~

	~~The future sales data are entered as follows (note that the Use Subsets check box should be checked):~~

	[[Image:Non-Homogeneous ~~Future Sales Data~~.PNG\|thumb\|center\|~~250px~~\| ]]		[[Image:Non-Homogeneous End Date.PNG\|thumb\|center\|450px\| ]]

	~~Under the Analysis tab, set the Calculations End Date to (5/1/2006) as shown next:~~

	~~[[Image:Non-Homogeneous~~ End ~~Date~~.~~PNG\|thumb\|center\|250px\| ]]~~		In the '''End of Observation Period''' field, enter '''5/1/2006''', and then calculate the parameters. The results are:

	~~The calculated parameters, assuming a lognormal distribution and using MLE as the analysis method, are:~~

	<center><math>\begin{matrix}		<center><math>\begin{matrix}
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	\end{matrix}</math></center>		\end{matrix}</math></center>

	Note that in this example, the same distribution type and analysis method were assumed for each of the product models. If desired, different distribution types, analysis methods, confidence bounds methods, etc., can be assumed for each IDs.

	To obtain the expected failures for the next 10 months, click the Generate Forecast ~~button~~.		Note that in this example, the same distribution and analysis method were assumed for each of the product models. If desired, different distribution types, analysis methods, confidence bounds methods, etc., can be assumed for each IDs.

			To obtain the expected failures for the next 10 months, click the '''Generate Forecast''' icon. In the Forecast Setup window, set the forecast to start on '''May 2, 2006''' and set the number of forecast periods to '''10'''. Set the increment (length of each period) to '''1 Month''', as shown next.


			[[Image:Non-Homogeneous Forecast Setup.PNG\|thumb\|center\|450px\| ]]


	~~[[Image:forcast~~.~~png\|center]]~~		Click '''OK'''. A Forecast sheet will be created, with the predicted future returns. The following figure shows part of the Forecast sheet.

	~~OR:~~

	[[Image:~~generateforcast~~.~~png~~\|center ]]		[[Image:Non-Homogeneous Forecast Data.PNG\|thumb\|center\|450px\| ]]

	~~and enter the Start date of 5/2/2006, the Number of Periods as 10, and the Increment number (1) in Months (selected from the drop-down box), as shown next:~~

	~~[[Image:Non-Homogeneous Forecast Setup~~.~~PNG\|thumb\|center\|250px\| ]]~~		To view a summary of the analysis, click the '''Show Analysis Summary (...)''' button. The following figure shows the summary of the forecasted returns.

	~~The forecast results are then displayed in a new sheet called Forecast. Part of the forecast table is shown next.~~

	[[Image:Non-Homogeneous ~~Forecast Data~~.PNG\|thumb\|center\|~~250px~~\| ]]		[[Image:Non-Homogeneous Analysis Summary.PNG\|thumb\|center\|450px\| ]]

	~~A summary of the analysis can also be obtained by clicking on the Show Analysis Summary (...). The summary of the forecasted returns is as follows:~~

	~~[[Image:Non-Homogeneous Analysis Summary~~.~~PNG\|thumb\|center\|250px\| ]]~~		Click the '''Plot''' icon and choose the '''Expected Failures''' plot. The plot displays the predicted number of returns for each month, as shown next.

	~~The results can also be seen graphically in the following plot. This is a plot of the expected failures.~~

	[[Image:Non-Homogeneous Expected Failure.PNG\|thumb\|center\|~~250px~~\| ]]		[[Image:Non-Homogeneous Expected Failure.PNG\|thumb\|center\|450px\| ]]

Kate Racaza: moved Template:Example: Warranty Analysis Non-Homogeneous Data Example to Warranty Analysis Non-Homogeneous Data Example: incorrect namespace

2012-07-26T06:47:38Z

moved Template:Example: Warranty Analysis Non-Homogeneous Data Example to Warranty Analysis Non-Homogeneous Data Example: incorrect namespace

← Older revision	Revision as of 06:47, 26 July 2012
(No difference)

Nicolette Young at 22:32, 25 April 2012

2012-04-25T22:32:50Z

← Older revision		Revision as of 22:32, 25 April 2012
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	Create a warranty folio by clicking on Project and choosing Add Specialized Folio and then selecting Add Warranty. In the New Warranty Folio Setup window, choose ''I want to enter data in dates of failure format''.		Create a warranty folio by clicking on Project and choosing Add Specialized Folio and then selecting Add Warranty. In the New Warranty Folio Setup window, choose ''I want to enter data in dates of failure format''.

	[[Image:dates-of-failurewarranty.png\|thumb\|center\|~~400px~~\| ]]		[[Image:dates-of-failurewarranty.png\|thumb\|center\|250px\| ]]

	The return data are entered as follows:		The return data are entered as follows:

	[[Image:Non-Homogeneous Return Data.PNG\|thumb\|center\|~~400px~~\| ]]		[[Image:Non-Homogeneous Return Data.PNG\|thumb\|center\|250px\| ]]

	The future sales data are entered as follows (note that the Use Subsets check box should be checked):		The future sales data are entered as follows (note that the Use Subsets check box should be checked):

	[[Image:Non-Homogeneous Future Sales Data.PNG\|thumb\|center\|~~400px~~\| ]]		[[Image:Non-Homogeneous Future Sales Data.PNG\|thumb\|center\|250px\| ]]

	Under the Analysis tab, set the Calculations End Date to (5/1/2006) as shown next:		Under the Analysis tab, set the Calculations End Date to (5/1/2006) as shown next:

	[[Image:Non-Homogeneous End Date.PNG\|thumb\|center\|~~400px~~\| ]]		[[Image:Non-Homogeneous End Date.PNG\|thumb\|center\|250px\| ]]

	The calculated parameters, assuming a lognormal distribution and using MLE as the analysis method, are:		The calculated parameters, assuming a lognormal distribution and using MLE as the analysis method, are:
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	and enter the Start date of 5/2/2006, the Number of Periods as 10, and the Increment number (1) in Months (selected from the drop-down box), as shown next:		and enter the Start date of 5/2/2006, the Number of Periods as 10, and the Increment number (1) in Months (selected from the drop-down box), as shown next:

	[[Image:Non-Homogeneous Forecast Setup.PNG\|thumb\|center\|~~400px~~\| ]]		[[Image:Non-Homogeneous Forecast Setup.PNG\|thumb\|center\|250px\| ]]

	The forecast results are then displayed in a new sheet called Forecast. Part of the forecast table is shown next.		The forecast results are then displayed in a new sheet called Forecast. Part of the forecast table is shown next.

	[[Image:Non-Homogeneous Forecast Data.PNG\|thumb\|center\|~~400px~~\| ]]		[[Image:Non-Homogeneous Forecast Data.PNG\|thumb\|center\|250px\| ]]

	A summary of the analysis can also be obtained by clicking on the Show Analysis Summary (...). The summary of the forecasted returns is as follows:		A summary of the analysis can also be obtained by clicking on the Show Analysis Summary (...). The summary of the forecasted returns is as follows:

	[[Image:Non-Homogeneous Analysis Summary.PNG\|thumb\|center\|~~400px~~\| ]]		[[Image:Non-Homogeneous Analysis Summary.PNG\|thumb\|center\|250px\| ]]

	The results can also be seen graphically in the following plot. This is a plot of the expected failures.		The results can also be seen graphically in the following plot. This is a plot of the expected failures.

	[[Image:Non-Homogeneous Expected Failure.PNG\|thumb\|center\|~~400px~~\| ]]		[[Image:Non-Homogeneous Expected Failure.PNG\|thumb\|center\|250px\| ]]