Abstract

This article develops a new group acceptance sampling plans (GASP) based on truncated lifetimes when the item’s lifetime follows gamma Lindley distribution (GLD). The model mean is considered as a quality parameter, then the minimum number of groups and acceptance number required for a specific group size are selected for a particular consumer’s risk and test termination time. The values of the operation characteristic function are calculated for various quality levels, and the minimum ratios of true average life to stipulated life at a certain producer’s risk are determined. Examples are provided to demonstrate the results and a real data set of fatigue fracture of Kevlar 373/epoxy subjected to constant pressure at 90\(\%\) stress level until all had failed is fitted to the model and analyzed to illustrate the usefulness of the suggested GASP for the GLD.

中文翻译：

---

基于Gamma Lindley分布截断寿命检验的分组验收抽样方案及实际数据应用

摘要

本文开发了一种基于截断生命周期（当项目的生命周期遵循伽马林德利分布 (GLD) 时）的新的群体验收抽样计划 (GASP)。将模型平均值视为质量参数，然后针对特定消费者的风险和测试终止时间选择特定组大小所需的最小组数和接受数。计算不同质量等级的运行特征函数值，并确定在一定生产者风险下真实平均寿命与规定寿命的最小比率。提供了示例来证明结果，并且将 Kevlar 373/环氧树脂在 90 \(\%\)应力水平下承受恒定压力直至全部失效的疲劳断裂的真实数据集拟合到模型中并进行分析，以说明GLD 的建议 GASP。