Abstract In this article, a new sampling system based on an exponentially weighted moving average statistic is proposed for the inspection of normally distributed quality characteristics. The proposed sampling system can be applicable for compliance testing. The performance measures of the proposed system are derived and analyzed. Tables are also constructed for determining the optimal parameters of both known and unknown standard deviation cases. An optimization problem is formulated as a nonlinear program in order to construct the tables in which the objective function used is the minimization of the average sample number and the constraints are related to the probability of acceptance at acceptable quality level and limiting quality level under the operating characteristic curve. The efficiency and advantages of the proposed sampling system are discussed over the existing variables sampling plans. Extensive tables are provided for industrial applications. Implementation of the proposed sampling system is discussed with the help of a real-time industrial example.

中文翻译：

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基于指数加权移动平均的新采样系统的确定

摘要 本文提出了一种基于指数加权移动平均统计量的新抽样系统，用于检验正态分布的质量特性。提议的采样系统可适用于合规性测试。推导出并分析了所提出系统的性能度量。还构建了用于确定已知和未知标准偏差情况的最佳参数的表格。优化问题被表述为非线性程序，以构建表，其中使用的目标函数是平均样本数的最小化，约束与可接受质量水平和限制质量水平下的可接受概率相关。特性曲线。讨论了所提议的抽样系统的效率和优势，而不是现有的变量抽样计划。为工业应用提供了广泛的表格。在实时工业示例的帮助下讨论了所提议的采样系统的实施。