On guaranteed in-control performance for the Shewhart X and X control charts

Rob Goedhart; Marit Schoonhoven; Ronald J. M. M. Does

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On guaranteed in-control performance for the Shewhart X and X control charts

机译：关于Shewhart X和X控制图的保证的控制性能

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Recently, two methods have been published in this journal to determine adjusted control limits for the Shewhart control chart in order to guarantee a pre-specified in-control performance. One is based on the bootstrap approach (Saleh et al. (2015)), and the other is an analytical approach (Goedhart, Schoonhoven, and Does (2017)). Although both methods lead to the desired control chart performance, they are still difficult to implement by the practitioner. The bootstrap is rather computationally intensive, while the analytical approach consists of multiple integrals and derivatives. In this letter to the editorwe simplify the analytical expressions provided in Goedhart, Schoonhoven, and Does (2017) by using the theory on tolerance intervals for individual observations as given in Krishnamoorthy and Mathew (2009).

机译：最近，在本杂志中发布了两种方法，以确定削减控制图表的调整后控制限制，以保证预先指定的控制性能。一个是基于引导方法（Saleh等，（2015）），另一个是分析方法（Goedhart，Schoonhoven，以及（2017））。虽然两种方法都导致所需的控制图表性能，但它们仍然难以由从业者实施。 Bootstrap相当计算密集，而分析方法包括多个积分和衍生物。在这封信中，编辑我们简化了Goedhart，Schoonhoven中提供的分析表达，并通过在克里希纳斯特斯基和Mathew（2009）中给出的个别观察的公差间隔理论进行了理论。

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来源
《Journal of Quality Technology》 |2018年第4期|共3页
作者
Rob Goedhart; Marit Schoonhoven; Ronald J. M. M. Does;
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作者单位

Department of Operations Management University of Amsterdam Amsterdam The Netherlands;

Department of Operations Management University of Amsterdam Amsterdam The Netherlands;

Department of Operations Management University of Amsterdam Amsterdam The Netherlands;

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原文格式 PDF
正文语种 eng
中图分类工业技术现状与发展;
关键词
control limits; tolerance intervals; bootstrap; statistical process monitoring;

机译：控制限制;公差间隔;举止;统计过程监控;

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On guaranteed in-control performance for the Shewhart X and X control charts

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