基于排序集抽样方案的Shewhart型同时单变量控制图

IF 1.9 Q2 MULTIDISCIPLINARY SCIENCES

MethodsX Pub Date : 2025-07-16 DOI:10.1016/j.mex.2025.103513

Sukma Adi Perdana , Muhammad Mashuri , Muhammad Ahsan

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引用次数: 0

摘要

排序集抽样（RSS）控制图比简单随机抽样（SRS）控制图更能检测过程的均值和方差。在本文中，我们开发了一种基于RSS方案的新型Shewhart型同时单变量控制图（Max chart）。由于基于RSS方案的统计量M（ni）的分布是未知的，因此采用改进的bootstrap方法开发了一种基于RSS的新型Shewhart型同步控制图。蒙特卡罗仿真研究结果表明，与基于SRS方案的传统Max图相比，基于RSS方案的改进Bootstrap Max图在检测过程均值和方差的偏移方面优于基于SRS方案的传统Max图。最后给出了一个实际的实例来说明所提出的控制图的操作和性能。重点:1。为了提高控制图检测过程位移的性能，提出了一种基于RSS方案的Shewhart型同时单变量控制图（Max chart）。采用改进的Bootstrap方法构造了基于RSS方案的Shewhart型同时单变量控制图（Max chart）的控制极限。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Shewhart type simultaneous univariate control chart based on ranked set sampling scheme

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Shewhart type simultaneous univariate control chart based on ranked set sampling scheme

The control charts with the Ranked Set Sampling (RSS) scheme performs better in detecting shifts in mean and variance of the process compared to the control charts with the Simple Random Sampling scheme (SRS). In this article, we develop a Novel Shewhart type simultaneous univariate control chart (Max Chart) based on the RSS scheme. Since the distribution of the statistics

M (n_{i})

based on the RSS scheme is not known, an alternative approach is taken by using an improved bootstrap method in developing a novel Shewhart type simultaneous control chart based on RSS. The results of the Monte Carlo simulation study show that, when compared to the conventional Max chart based on the SRS scheme, the average run length under out-of-control conditions (ARL₁) obtained from that the Improved Bootstrap Max Chart based on the RSS scheme is superior in detecting shifts in mean and variance of the process. A real case example is also given to illustrate the operation and performance of the proposed control chart. Key points:

1.
A novel Shewhart type simultaneous univariate control chart (Max Chart) based on the RSS scheme is proposed to improve the performance of the of control chart in detecting process shifts.
2.
The Control limit of Shewhart type simultaneous univariate control chart (Max Chart) based on the RSS scheme was constructed using an Improved Bootstrap method.

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