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Optimal designing of multiple deferred (dependent) state repetitive group sampling plan for variables inspection
Communications in Statistics - Theory and Methods ( IF 0.8 ) Pub Date : 2020-09-02 , DOI: 10.1080/03610926.2020.1814815
P. Jeyadurga 1 , S. Balamurali 2
Affiliation  

Abstract

In this paper, we propose the designing methodology of multiple deferred (dependent) state repetitive group sampling plan for lot sentencing when the quality characteristic of the product follows normal distribution. This sampling plan incorporates the features of two existing sampling plans such as multiple deferred (dependent) state sampling plan and repetitive group sampling plan. Under the proposed sampling plan, the current lot is immediately accepted if it has good quality and rejected if the lot quality is poor. But, the decision on the current lot depends on the decision of the successive/preceding lots and/or additional samples from the current lot when the current lot is of moderate quality. Two-points on the operating characteristic curve approach is used to determine the optimal plan parameters for various combinations of acceptable quality level and limiting quality level. In determination of plan parameters, two cases are considered such as standard deviation is known and unknown. An application of the proposed sampling plan in industries is discussed with real life example. The significance of the proposed plan is explained by a comparative study.



中文翻译:

变量检验多延迟(依赖)状态重复组抽样方案的优化设计

摘要

在本文中,我们提出了当产品的质量特性服从正态分布时的多延迟(依赖)状态重复组抽样计划的设计方法,用于批量判刑。该抽样计划结合了两个现有抽样计划的特征,例如多个延迟(依赖)状态抽样计划和重复组抽样计划。根据提议的抽样计划,如果当前批次质量好,则立即接受,如果批次质量差,则拒绝。但是,当当前批次质量适中时,对当前批次的决定取决于后续/先前批次和/或来自当前批次的额外样品的决定。操作特性曲线上的两点法用于确定可接受质量水平和限制质量水平的各种组合的最佳计划参数。在确定计划参数时,考虑标准差已知和未知两种情况。结合现实生活中的例子讨论了建议的抽样计划在工业中的应用。一项比较研究解释了拟议计划的重要性。

更新日期:2020-09-02
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