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An Analysis Of Accelerated Performance Degradation Tests Assuming The Arrhenius Stress-Relationship

Author

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  • TAE HYOUNG KANG

    (Department of Industrial Engineering, Chonnam National University, 300 Yongbong-dong, Buk-gu, Gwangju 500-757, Korea)

  • SANG WOOK CHUNG

    (Department of Industrial Engineering, Chonnam National University, 300 Yongbong-dong, Buk-gu, Gwangju 500-757, Korea)

  • WON YOUNG YUN

    (Department of Industrial Engineering, Pusan National University, 30 Jangjeon-dong, Geumjeong-gu, Busan 609-735, Korea)

Abstract

An analytical model is developed for accelerated performance degradation tests. The performance degradations of products at a specified exposure time are assumed to follow a normal distribution. It is assumed that the relationship between the location parameter of normal distribution and the exposure time is a linear function of the exposure time that the slope coefficient of the linear relationship has an Arrhenius dependence on temperature, and that the scale parameter of the normal distribution is constant and independent of temperature or exposure time. The method of maximum likelihood estimation is used to estimate the parameters involved. The likelihood function for the accelerated performance degradation data is derived. The approximated variance-covariance matrix is also derived for calculating approximated confidence intervals of maximum likelihood estimates. Finally we use two real examples for estimating the failure-time distribution, technically defined as the time when performance degrades below a specified level.

Suggested Citation

  • Tae Hyoung Kang & Sang Wook Chung & Won Young Yun, 2008. "An Analysis Of Accelerated Performance Degradation Tests Assuming The Arrhenius Stress-Relationship," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(06), pages 847-864.
    • Handle: RePEc:wsi:apjorx:v:25:y:2008:i:06:n:s0217595908002061
    DOI: 10.1142/S0217595908002061
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