{"id":16701,"date":"2016-11-18T06:49:00","date_gmt":"2016-11-18T06:49:00","guid":{"rendered":"http:\/\/www.safetyangel.com\/recdev\/?page_id=16701"},"modified":"2016-11-18T07:02:59","modified_gmt":"2016-11-18T07:02:59","slug":"weibull-example-5-warranty-analysis-example","status":"publish","type":"page","link":"http:\/\/www.safetyangel.com\/recdev\/weibull-example-5-warranty-analysis-example\/","title":{"rendered":"Weibull++ Example 5 – Warranty Analysis Example"},"content":{"rendered":"
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Weibull++ Example 5 - Warranty Analysis Example<\/h2><\/div><\/div><\/div><\/div><\/div>
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Examples provided here are purely for illustrating software features and functionality.<\/span><\/h3>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div>
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Weibull++ Example 5 – Warranty Analysis Example<\/span><\/h3>\n

Download Example File for Version 10 (*.rsgz10)<\/a> or Version 9 (*.rsr9)<\/a><\/b><\/p>\n

Background<\/span><\/h3>\n

A company keeps track of its shipments and warranty returns on a month-by-month basis. Using the warranty analysis folio, determine the parameters for a 2-parameter Weibull distribution and predict the number of products from each of the three shipment periods that will be returned under warranty in October.<\/p>\n

Experiment and Data<\/span><\/h3>\n

In June, 100 units are sold and in July, three are returned. This gives 3 failures at one month for the June shipment. Likewise, 3 failures occur in August and 5 occur in September for this shipment. Consequently, at the end of the three-month analysis period, there are a total of 11 failures for the 100 units shipped in June. This means that 89 units are presumably still operating and can be considered suspensions at three months.<\/p>\n

For the shipment of 140 in July, 2 are returned the following month and 4 more are returned the month after that. After two months, there are 134 units from the July shipment still operating.<\/p>\n

For the final shipment of 150 in August, 4 fail in September, with the remaining 146 units being suspensions at one month.<\/p>\n

The shipment and returns data are shown in the following table.<\/p>\n<\/div>

\n\n\n\n\n\n\n\n
Month<\/b><\/span><\/td>\nShipments<\/b><\/span><\/td>\nReturns<\/span><\/b><\/td>\n<\/tr>\n
July<\/b><\/span><\/td>\nAugust<\/b><\/span><\/td>\nSeptember<\/b><\/span><\/td>\n<\/tr>\n
June<\/b><\/span><\/td>\n100<\/span><\/td>\n3<\/span><\/td>\n3<\/span><\/td>\n5<\/span><\/td>\n<\/tr>\n
July<\/b><\/span><\/td>\n140<\/span><\/td>\n–<\/span><\/td>\n2<\/span><\/td>\n4<\/span><\/td>\n<\/tr>\n
August<\/b><\/span><\/td>\n150<\/span><\/td>\n–<\/span><\/td>\n–<\/span><\/td>\n4<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div><\/div>
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Analysis<\/span><\/h3>\n

Step 1: <\/b>Create a new warranty analysis folio using the Nevada data format. On the second page of the Warranty Folio Setup window, make the selections shown next.<\/p>\n<\/div>

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Figure 1: Second page of the Warranty Folio Setup window for Nevada chart format folios.<\/p>\n<\/div>

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Step 2: <\/b>Enter the shipments data on the Sales data sheet and the returns data on the Returns sheet. Then select the 2-parameter Weibull distribution with MLE. The folio will appear as shown next.<\/p>\n<\/div>

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Figure 2: Warranty folio with data entered and calculation options selected.<\/p>\n<\/div><\/div>

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Step 3:<\/b> Click Calculate<\/b>. Weibull++ automatically converts the warranty data into failure\/suspension times and estimates the parameters of the chosen distribution. The results are beta = 2.4928 and eta = 6.6951.<\/p>\n

To show the converted failure\/suspension data, click the Detailed Summary<\/b> icon on the control panel.<\/p>\n<\/div><\/div>

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Figure 4: Forecast data sheet.<\/p>\n<\/div><\/div>

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