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Lifetime performance evaluation and analysis model of passive component capacitor products

Author

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  • Kuen-Suan Chen

    (National Chin-Yi University of Technology
    Chaoyang University of Technology
    Asia University)

  • Chun-Min Yu

    (National Chin-Yi University of Technology)

Abstract

With the rise of the semiconductor industry, passive components have become a foundation of the electronics industry and propelled the development of peripheral equipment and industries. This paper focused on improving the lifetime performance of products to increase product value and achieve the green production goals of energy conservation and waste reduction. We first established a relative lifetime performance index for passive component capacitors. Next, we derived the cumulative distribution function and reliability function based on the probability density function of relative lifetime to investigate the properties of the relative lifetime performance index. The results indicated that the reliability increased with the index value and that the probability of the product lifetime exceeding the minimum requirement also increased with the index value. Due to the fact that the index contains unknown parameters, using point estimates to estimate product lifetime performance may lead to misjudgment caused by sampling errors. For this reason, we propose a uniformly minimum-variance unbiased estimator for the index and derived its probability density function. In addition, we establish a fuzzy testing model based on the confidence interval to determine whether the lifetime performance of a product reaches the required performance level. Finally, we present a numerical example of passive components to demonstrate application of the proposed model. This example further demonstrates how the proposed model improves product lifetime performance, which in turn increases product value and also achieves the green objectives of energy conservation and waste reduction.

Suggested Citation

  • Kuen-Suan Chen & Chun-Min Yu, 2022. "Lifetime performance evaluation and analysis model of passive component capacitor products," Annals of Operations Research, Springer, vol. 311(1), pages 51-64, April.
  • Handle: RePEc:spr:annopr:v:311:y:2022:i:1:d:10.1007_s10479-021-04242-6
    DOI: 10.1007/s10479-021-04242-6
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    References listed on IDEAS

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    1. L.S. Dharmasena & P. Zeephongsekul, 2016. "A new process capability index for multiple quality characteristics based on principal components," International Journal of Production Research, Taylor & Francis Journals, vol. 54(15), pages 4617-4633, August.
    2. Kuen-Suan Chen & Tsang-Chuan Chang, 2020. "Construction and fuzzy hypothesis testing of Taguchi Six Sigma quality index," International Journal of Production Research, Taylor & Francis Journals, vol. 58(10), pages 3110-3125, May.
    3. Cheng-Fu Huang, 2019. "Evaluation of system reliability for a stochastic delivery-flow distribution network with inventory," Annals of Operations Research, Springer, vol. 277(1), pages 33-45, June.
    4. Chen, Kuen-Suan & Wang, Ching-Hsin & Tan, Kim Hua & Chiu, Shun-Fung, 2019. "Developing one-sided specification six-sigma fuzzy quality index and testing model to measure the process performance of fuzzy information," International Journal of Production Economics, Elsevier, vol. 208(C), pages 560-565.
    5. repec:bla:rdevec:v:5:y:2001:i:2:p:266-88 is not listed on IDEAS
    6. Kuen-Suan Chen & Hsi-Tien Chen & Tsang-Chuan Chang, 2017. "The construction and application of Six Sigma quality indices," International Journal of Production Research, Taylor & Francis Journals, vol. 55(8), pages 2365-2384, April.
    7. An‐Chi Tung, 2001. "Taiwan’s Semiconductor Industry: What the State Did and Did Not," Review of Development Economics, Wiley Blackwell, vol. 5(2), pages 266-288, June.
    8. Chun-Min Yu & Win-Jet Luo & Ting-Hsin Hsu & Kuei-Kuei Lai, 2020. "Two-Tailed Fuzzy Hypothesis Testing for Unilateral Specification Process Quality Index," Mathematics, MDPI, vol. 8(12), pages 1-18, November.
    9. Yi-Kuei Lin & Ming J. Zuo & Hoang Pham, 2019. "Preface: reliability and quality management in stochastic systems," Annals of Operations Research, Springer, vol. 277(1), pages 1-2, June.
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    Cited by:

    1. Sangho Lee & Jeongsub Choi & Youngdoo Son, 2024. "Efficient visibility algorithm for high-frequency time-series: application to fault diagnosis with graph convolutional network," Annals of Operations Research, Springer, vol. 339(1), pages 813-833, August.
    2. Kuen-Suan Chen & Chun-Min Yu, 2024. "Confidence-interval-based fuzzy supplier selection model with lifetime performance index," Annals of Operations Research, Springer, vol. 340(1), pages 133-147, September.
    3. Kuo-Ching Chiou, 2023. "Building Up of Fuzzy Evaluation Model of Life Performance Based on Type-II Censored Data," Mathematics, MDPI, vol. 11(17), pages 1-12, August.
    4. Kuo-Ching Chiou & Tsun-Hung Huang & Kuen-Suan Chen & Chun-Min Yu, 2024. "Fuzzy Evaluation Model for Lifetime Performance Using Type-I Censoring Data," Mathematics, MDPI, vol. 12(13), pages 1-15, June.
    5. Chun-Ming Yang & Tsun-Hung Huang & Kuen-Suan Chen & Chi-Han Chen & Shiyao Li, 2022. "Fuzzy Quality Evaluation and Analysis Model for Improving the Quality of Unleaded Gasoline to Reduce Air Pollution," Mathematics, MDPI, vol. 10(15), pages 1-13, August.

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