Determination of multiple dependent state repetitive group sampling plan based on the process capability index

IF 0.6 4区 数学 Q4 STATISTICS & PROBABILITY Sequential Analysis-Design Methods and Applications Pub Date : 2019-07-03 DOI:10.1080/07474946.2019.1648930
S. Balamurali, M. Aslam
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引用次数: 12

Abstract

Abstract In this article, we propose a sampling plan called a multiple dependent state repetitive group sampling plan for variable inspection based on the process capability index Cpk. The proposed sampling plan is applicable for the inspection of normally distributed quality characteristics when both mean and variance are assumed to be unknown. This new plan under variable inspection will be very useful particularly in compliance testing. Tables are also constructed for the determination of optimal parameters for easy selection and implementation of the plan. The optimal parameters can be determined by using the approach of two points on the operating characteristic curve. Symmetric and asymmetric cases based on the fraction nonconforming by the lower and the upper specification limits are also considered. Advantages of the proposed plan are also discussed. It is also shown that the proposed plan outperforms other existing sampling plans under variable inspection.
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基于过程能力指数的多依赖状态重复群抽样方案的确定
摘要在本文中,我们提出了一种基于过程能力指数Cpk的变量检验抽样计划,称为多依赖状态重复组抽样计划。当均值和方差均未知时,所提出的抽样计划适用于检验正态分布的质量特征。这项可变检查下的新计划将非常有用,尤其是在合规性测试中。还构建了用于确定最佳参数的表格,以便于选择和实施计划。最佳参数可以通过使用操作特性曲线上的两点的方法来确定。还考虑了基于分数不符合规格下限和规格上限的对称和非对称情况。还讨论了拟议计划的优点。研究还表明,在变量检验下,所提出的方案优于其他现有的抽样方案。
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来源期刊
CiteScore
1.40
自引率
12.50%
发文量
20
期刊介绍: The purpose of Sequential Analysis is to contribute to theoretical and applied aspects of sequential methodologies in all areas of statistical science. Published papers highlight the development of new and important sequential approaches. Interdisciplinary articles that emphasize the methodology of practical value to applied researchers and statistical consultants are highly encouraged. Papers that cover contemporary areas of applications including animal abundance, bioequivalence, communication science, computer simulations, data mining, directional data, disease mapping, environmental sampling, genome, imaging, microarrays, networking, parallel processing, pest management, sonar detection, spatial statistics, tracking, and engineering are deemed especially important. Of particular value are expository review articles that critically synthesize broad-based statistical issues. Papers on case-studies are also considered. All papers are refereed.
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