Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq, Jordan.
Department of Mathematics, College of Science, King Khalid University, Abha, South Region, Saudi Arabia.
Sci Prog. 2021 Apr-Jun;104(2):368504211014350. doi: 10.1177/00368504211014350.
The acceptance sampling plan (ASP) is a statistical tool used in industry for quality control to determine the quality of products by selecting a specified number for testing in order to accept or reject the lot. The main objective is to develop a new ASP based on truncated life tests assuming that the lifetime follows the two parameters Quasi Shanker distribution, since this distribution showed its superiority in providing a better model for some applications than the exponential distribution. The ASP steps are carried out to find the minimum sample sizes needed to assert the certain life mean that are calculated under a given customer's risk. The operating characteristic values of the sampling plan and the producer risk values are obtained. The efficiency of the suggested plans is analyzed based on real data that is fitted to the Quasi Shanker distribution. For various values of the Quasi Shanker distribution parameters, numerical examples are presented for illustrative purposes. The results indicate that the suggested ASP provides smaller sample sizes than other competitors considered in this study. The suggested ASP has been found to provide a substantial sampling economy in terms of reducing the sample. Hence, it is recommended that the ASP can be used in industry and for future research works as double and group ASP.
接收抽样计划 (ASP) 是工业中用于质量控制的统计工具,通过选择指定数量进行测试来确定产品的质量,以接受或拒绝批次。主要目的是基于截断寿命测试开发一种新的 ASP,假设寿命遵循双参数 Quasi Shanker 分布,因为该分布在为某些应用提供比指数分布更好的模型方面表现出优越性。ASP 步骤用于找到断言特定寿命均值所需的最小样本量,这些均值是在给定客户风险下计算的。获取抽样计划的操作特征值和生产者风险值。根据拟合到 Quasi Shanker 分布的实际数据,对建议计划的效率进行分析。对于 Quasi Shanker 分布参数的各种值,给出了数值示例以说明问题。结果表明,与本研究中考虑的其他竞争对手相比,建议的 ASP 提供了更小的样本量。建议的 ASP 在减少样本方面提供了实质性的抽样经济性。因此,建议在工业和未来的研究工作中使用 ASP 作为双和组 ASP。