THE OPERATING CHARACTERISTICS CURVE OF THE ACCEPTANCE SAMPLING OF TYPE-A BASED ON OUTGOING PERCENT DEFECTIVE LOT

Bahagia Rafika Dewi, F. Gunawan, F. Alamsjah
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Abstract

The common type-A of Operating Characteristics (OC) curve measures the consumer’s risk through the incoming quality. However, the proportion of defective can alter after the sampling process; hence, the measure of consumer’s risk is better described by the outgoing quality or lot quality of post sampling inspection. A modified OC curve is developed based on the outgoing quality for two applicable cases; returned samples to the lot and non-returned or destructive samples. This research aims to develop the algorithm and evaluate the alternative acceptance sampling plan for isolated lots by outgoing percent defective. For the returned samples, the acceptance sampling requires less sample than that based on the common OC-curve and is seen as an opportunity for sampling size reduction. The number of reduced samples varies depending on the input parameters: Acceptance Quality Level (AQL), Rejectable Quality Limit (RQL), producer’s risk (α), consumer’s risk (β), and lot size (N). For the non-returned sample, more sample size (n) is required, even more than that of using the Binomial distribution’s sample size, which has been considered conservative.
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基于出库不合格品百分比的a型验收抽样的工作特性曲线
常用的a型OC曲线通过进货质量来衡量消费者的风险。但在取样过程后,不合格品的比例会发生变化;因此,消费者风险的测度最好用抽检后的出厂质量或批次质量来描述。针对两种情况,提出了一种基于输出质量的修正OC曲线;退回的样品和未退回的或破坏性的样品。本研究旨在发展算法,并以出库不合格率来评估隔离批次的备选验收抽样方案。对于返回的样本,验收抽样比基于普通oc曲线的抽样需要更少的样本,并且被视为减少采样大小的机会。减少样本的数量取决于输入参数:可接受质量水平(AQL),可拒绝质量限制(RQL),生产者风险(α),消费者风险(β)和批号(N)。对于未返回的样本,需要更多的样本量(N),甚至超过使用二项分布的样本量,这被认为是保守的。
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