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Rectifying inspection for acceptable quality loss limit based on variable repetitive group sampling plan

机译:根据可变重复组抽样计划对可接受的质量损失限值进行纠正检查

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摘要

It is usually assumed that a quality characteristic in an item obeys a normal distribution in the case that the quality of items is evaluated based on the variable property. Then, the concept of Taguchi's quality loss has been accepted as the evaluation measure of quality instead of the traditional attribute property such as the proportion of nonconforming items. From this viewpoint, some variable sampling plans indexed by the quality loss have been investigated before now. As a study earliest among them, the variable single sampling plan based on operating characteristics (OC) indexed by the quality loss was considered. On the other hand, the attribute repetitive group sampling plan on OC was proposed for reducing the sampling number in the inspection. Recently, the variable repetitive group sampling (VRGS) plan on OC indexed by the quality loss has been considered. By the way, the rectifying inspection is known as one of the schemes of acceptance sampling inspection. Then, Dodge-Romig single sampling plans are known as the traditional rectifying inspection based on attribute sampling plans. Dodge-Romig rectifying attribute sampling plans provide the lot tolerance percent defective (LTPD) scheme on each lot and the average outgoing quality limit (AOQL) scheme for many lots. Furthermore, the rectifying variable single sampling (RVSS) plan indexed by the quality loss was investigated. In conformity with the traditional rectifying attribute sampling plans for the LTPD and AOQL schemes, the acceptance quality loss limit (AQLL) and specified permissible average outgoing surplus quality loss limit (PAOSQLL) schemes are respectively proposed in the RVSS plans indexed by the quality loss. In this article, we suppose that the quality characteristic in an item obeys a normal distribution. Under this condition, the rectifying variable repetitive group sampling (RVRGS) plan for AQLL is considered for the purpose of reducing the average total inspection (ATI). Specifically, the design procedure for finding out the required sample size and inspection criteria for satisfying the constraint of the quality assurance is derived. Lastly, it is shown that ATI of the RVRGS plan is reduced in comparison with that of the RVSS plan under the same condition.
机译:通常假设在基于可变属性评估商品的质量的情况下,商品的质量特性服从正态分布。然后,田口的质量损失的概念已被接受作为质量的评估指标,而不是传统的属性,例如不合格品的比例。从这个角度来看,迄今为止已经研究了一些以质量损失为指标的可变抽样计划。作为最早的研究,考虑了基于以质量损失为指标的运行特征(OC)的可变单次采样计划。另一方面,提出了关于OC的属性重复组抽样计划,以减少检查中的抽样数量。最近,已经考虑了以质量损失为指标的OC的可变重复群抽样(VRGS)计划。顺便说一下,整改检查被称为验收抽样检查方案之一。然后,将Dodge-Romig单一抽样计划称为基于属性抽样计划的传统纠正检查。 Dodge-Romig校正属性采样计划为每个批次提供了批次公差百分比(LTPD)方案和许多批次的平均出厂质量限制(AOQL)方案。此外,研究了以质量损失为指标的整流变量单次采样(RVSS)计划。与针对LTPD和AOQL方案的传统纠正属性采样计划相一致,在RVSS计划中分别提出了以质量损失为索引的接受质量损失限制(AQLL)和指定的允许平均外发剩余质量损失限制(PAOSQLL)方案。在本文中,我们假设项目中的质量特征服从正态分布。在这种情况下,出于减少平均总检查(ATI)的目的,考虑了AQLL的校正变量重复组抽样(RVRGS)计划。具体地,推导了用于找出满足质量保证约束的所需样本量和检查标准的设计程序。最后,在相同条件下,与RVSS计划相比,RVRGS计划的ATI减少了。

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