Upside-down bathtub failure rate from diversity in usage rate

Zhi Sheng Ye; Min Xie; Loon Ching Tang

Upside-down bathtub failure rate from diversity in usage rate

Zhi Sheng Ye, Min Xie, Loon Ching Tang

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

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.

Original language	English
Title of host publication	61st Annual IIE Conference and Expo Proceedings
Publisher	Institute of Industrial Engineers
Publication status	Published - 2011
Externally published	Yes
Event	61st Annual Conference and Expo of the Institute of Industrial Engineers - Reno, NV, United States Duration: 21 May 2011 → 25 May 2011

Conference

Conference	61st Annual Conference and Expo of the Institute of Industrial Engineers
Place	United States
City	Reno, NV
Period	21/05/11 → 25/05/11

Research Keywords

Random usage rate
Upside-down bathtub failure rate
Warranty data

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title = "Upside-down bathtub failure rate from diversity in usage rate",

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.",

keywords = "Random usage rate, Upside-down bathtub failure rate, Warranty data",

author = "Ye, {Zhi Sheng} and Min Xie and Tang, {Loon Ching}",

year = "2011",

language = "English",

booktitle = "61st Annual IIE Conference and Expo Proceedings",

publisher = "Institute of Industrial Engineers",

note = "61st Annual Conference and Expo of the Institute of Industrial Engineers ; Conference date: 21-05-2011 Through 25-05-2011",

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TY - GEN

T1 - Upside-down bathtub failure rate from diversity in usage rate

AU - Ye, Zhi Sheng

AU - Xie, Min

AU - Tang, Loon Ching

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - Random usage rate

KW - Upside-down bathtub failure rate

KW - Warranty data

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84900302772&origin=recordpage

M3 - RGC 32 - Refereed conference paper (with host publication)

BT - 61st Annual IIE Conference and Expo Proceedings

PB - Institute of Industrial Engineers

T2 - 61st Annual Conference and Expo of the Institute of Industrial Engineers

Y2 - 21 May 2011 through 25 May 2011

ER -

Upside-down bathtub failure rate from diversity in usage rate

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Research Keywords

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