Periyasamypandian Jeyadurga, Balamurali Saminathan
Department of Mathematics, Saveetha Engineering College, Chennai, India.
Department of Mathematics, Kalasalingam Academy of Research and Education, Krishnankoil, India.
J Appl Stat. 2022 Jun 30;50(13):2796-2816. doi: 10.1080/02664763.2022.2091526. eCollection 2023.
This study focuses on designing a new multiple deferred state sampling plan to ensure products' mean lifetime that complies with Weibull distribution. The parameters that characterize the proposed plan are determined by considering two specified points on the operating characteristic curve. Practical applications of the proposed plan for assuring mean lifetimes of electrical appliances as well as Lithium-ion batteries are explained by using real-time data and simulated data respectively. Sensitivity analysis on testing time of the life test is done and theoretical average sample number is compared with the same obtained by simulation. By comparing the proposed plan with other existing sampling plans based on discriminating power, the number of units required for lot sentencing, it is observed that the new multiple deferred state sampling plan provides quality assurance for the products with low inspection costs compared to the other existing sampling plans. Besides, this study investigates the economic design of a new multiple deferred state sampling plan and compares the total cost needed in the proposed plan with the same required for some other existing sampling plans.
本研究着重于设计一种新的多重延迟状态抽样方案，以确保符合威布尔分布的产品平均寿命。通过考虑操作特性曲线上的两个指定点来确定表征该提议方案的参数。分别使用实时数据和模拟数据说明了所提议方案在确保电器以及锂离子电池平均寿命方面的实际应用。对寿命试验的测试时间进行了敏感性分析，并将理论平均样本数与通过模拟获得的平均样本数进行了比较。通过基于判别力、批量判决所需的单元数量，将所提议方案与其他现有抽样方案进行比较，发现新的多重延迟状态抽样方案与其他现有抽样方案相比，以较低的检验成本为产品提供了质量保证。此外，本研究还探讨了新的多重延迟状态抽样方案的经济设计，并将所提议方案所需的总成本与其他一些现有抽样方案所需的总成本进行了比较。
