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Title: Upside-down bathtub failure rate from diversity in usage rate
Authors: Ye, Z.S.
Xie, M.
Tang, L.C. 
Keywords: Random usage rate
Upside-down bathtub failure rate
Warranty data
Issue Date: 2011
Citation: Ye, Z.S.,Xie, M.,Tang, L.C. (2011). Upside-down bathtub failure rate from diversity in usage rate. 61st Annual IIE Conference and Expo Proceedings. ScholarBank@NUS Repository.
Abstract: Lab tests often suggest an increasing failure rate for a product. However, failure rate from warranty data analysis is often upside-down bathtub or N-shape. Motivated by a real problem, this paper explains the discrepancies between lab test results and field return data by random customer usage rate. By supposing that lifetime of a product follows a Weibull distribution under design usage rate, we show that the field failure rate can be either decreasing, increasing, upside-down bathtub, or even N-shape, depending on the usage rate distribution and the corresponding parameters. These results are then applied to solve the motivating problem.
Source Title: 61st Annual IIE Conference and Expo Proceedings
Appears in Collections:Staff Publications

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