Designing of Variables Double Sampling Plan Under Rectifying Inspection for Consumer Protection

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Sequential Analysis-Design Methods and Applications Pub Date : 2022-12-21 DOI:10.1080/07474946.2022.2149804

P. Jeyadurga, S. Balamurali

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引用次数: 1

Abstract

Abstract Designing of acceptance sampling plans based on operating characteristics fail to prescribe the corrective action for rejected lots although they guarantee the producer’s and the consumer’s protection at their corresponding quality levels. But, rectification sampling inspection plan suggests 100% inspection for rejected lots and hence, the producer’s risk is reduced and also there is a guarantee to the consumer by restricting upper limit of the maximum expected proportion of non-conforming of the shipping lot. Although the variables single sampling plan for rectifying inspection is available, variables double sampling inspection plan under rectifying inspection has not yet been designed. Hence, in this paper, we design a variables double sampling plan for rectifying inspection indexed by acceptable quality level and average outgoing quality limit to meet the needs of the producer as well as the consumer. A non-linear optimization problem is developed to determine the optimal parameters with minimum average sample number at acceptable quality level for both cases of standard deviation are known and unknown. We investigate the validation and limitation of the proposed plan through the simulation study and industrial application of the proposed plan is also given. It can be confirmed from the investigations on the results that in many situations, variables double sampling plan designed under rectifying inspection is more economical than variables single sampling plan designed with the same conditions in providing the same protection to consumer.

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消费者权益保护整改检查变量双抽样方案的设计

摘要基于操作特性设计的验收抽样计划未能规定拒收批次的纠正措施，尽管它们保证了生产商和消费者在相应质量水平上的保护。但是，整改抽样检验计划建议对拒收批次进行100%的检验，因此，通过限制装运批次的最大预期不合格比例的上限，降低了生产商的风险，也为消费者提供了保障。虽然有整改检查的变量单抽样计划，但整改检查下的变量双抽样检查计划尚未设计。因此，在本文中，我们设计了一个以可接受质量水平和平均出厂质量限为指标的变量双抽样检验计划，以满足生产商和消费者的需求。开发了一个非线性优化问题，以确定在已知和未知标准偏差的两种情况下，在可接受质量水平下具有最小平均样本数的最优参数。通过仿真研究，研究了该方案的有效性和局限性，并给出了该方案在工业上的应用。从调查结果可以证实，在许多情况下，在纠正检查下设计的变量双抽样计划比在相同条件下设计的可变单抽样计划更经济，为消费者提供相同的保护。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Sequential Analysis-Design Methods and Applications STATISTICS & PROBABILITY-

CiteScore

1.40

自引率

12.50%

发文量

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.