The alpha power Weibull transformation distribution applied to describe the behavior of electronic devices under voltage stress profile

IF 2.3 2区工程技术 Q3 ENGINEERING, INDUSTRIAL

Quality Technology and Quantitative Management Pub Date : 2022-05-17 DOI:10.1080/16843703.2022.2071526

L. C. Méndez-González, L. A. Rodríguez-Picón, I. J. C. Pérez-Olguín, L. Pérez-Domínguez, David Luviano Cruz

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引用次数: 6

Abstract

ABSTRACT This paper presents a life-stress methodology that models the failure rate in the form of a bathtub curve. The model consists of the Alpha Power Transformation (APT), which adds an extra parameter to the probability distributions to achieve better flexibility in the representation in the data analysis. To build the life–stress relationship, the APT is combined with the Weibull Distribution (WD) and the Inverse Power Law (IPL) as a stress model to relate the data from the accelerated life tests (ALT), thus presenting the APTW-IPL. Statistical properties of the APTW-IPL are analyzed and discussed. For the parameter estimation of APTW-IPL, the Maximum Likelihood Estimator was used. On the other hand, to test the efficacy of the APTW-IPL, the model is compared with other methodologies that describe the behavior of the bathtub curve in two case studies related to determining the behavior of electronic devices that were subjected to ALT. The results show that the APTW-IPL can be a good option for reliability analysis in electronic devices. It represents the failure times in the form of a bathtub curve, the value of MTTF, and fitting the distribution to the case study data.

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用于描述电压应力分布下电子器件行为的α-幂-威布尔变换分布

摘要本文提出了一种寿命应力方法，该方法以浴缸曲线的形式对故障率进行建模。该模型由阿尔法功率变换（APT）组成，它在概率分布中添加了一个额外的参数，以在数据分析中实现更好的表示灵活性。为了建立寿命-应力关系，APT与威布尔分布（WD）和逆幂律（IPL）相结合，作为应力模型，将加速寿命测试（ALT）的数据关联起来，从而呈现APTW-IPL。分析和讨论了APTW-IPL的统计特性。对于APTW-IPL的参数估计，使用了最大似然估计。另一方面，为了测试APTW-IPL的有效性，在两个与确定受ALT影响的电子设备的行为相关的案例研究中，将该模型与描述浴缸曲线行为的其他方法进行了比较。结果表明，APTW-ISL可以是电子设备可靠性分析的一个很好的选择。它以浴缸曲线的形式表示故障次数，MTTF的值，并将分布拟合到案例研究数据中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Quality Technology and Quantitative Management ENGINEERING, INDUSTRIAL-OPERATIONS RESEARCH & MANAGEMENT SCIENCE

CiteScore

5.10

自引率

21.40%

发文量

审稿时长

>12 weeks

期刊介绍： Quality Technology and Quantitative Management is an international refereed journal publishing original work in quality, reliability, queuing service systems, applied statistics (including methodology, data analysis, simulation), and their applications in business and industrial management. The journal publishes both theoretical and applied research articles using statistical methods or presenting new results, which solve or have the potential to solve real-world management problems.