In this paper, the moving average control chart is developed under time truncated test to monitor the number of failures when the lifetime of an item follows the Rayleigh and inverse Rayleigh distributions. The number of failures is detected when a planned number of items has been placed on a time truncated testing experiment. The average run lengths (ARL) for various parameter settings are used to evaluate the performance of the proposed control chart. Also, the control chart parameters such as test time multiplier ($a$) and chart coefficient (k) are obtained by contemplating the in-control ARL for various sample sizes. The study revealed that the proposed control chart outperform the existing time truncated attribute control chart in the quick detection of shifts in process parameters. The application of the proposed chart methodology is also demonstrated using simulated data.

中文翻译：

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时间截断寿命测试下瑞利分布和逆瑞利分布的移动平均控制图

在本文中，移动平均控制图是在时间截断测试下开发的，以监测当项目的寿命遵循瑞利分布和逆瑞利分布时的故障数量。当将计划数量的项目放置在时间截断的测试实验中时，就会检测到失败的数量。各种参数设置的平均运行长度 (ARL) 用于评估建议控制图的性能。此外，控制图参数，如测试时间乘数（$\mathrm{一种}$) 和图表系数 (k) 是通过考虑各种样本大小的受控 ARL 获得的。研究表明，所提出的控制图在快速检测过程参数的变化方面优于现有的时间截断属性控制图。还使用模拟数据演示了所提出的图表方法的应用。