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Journal ArticleDOI

Statistical Process Control using Shewhart Control Charts with Supplementary Runs Rules

TLDR
In this paper, the authors present the basic principles and recent advances in the area of statistical process control charting with the aid of runs rules, and briefly discuss the Markov chain approach which is the most popular technique for studying the run length distribution of run based control charts.
Abstract
The aim of this paper is to present the basic principles and recent advances in the area of statistical process control charting with the aid of runs rules. More specifically, we review the well known Shewhart type control charts supplemented with additional rules based on the theory of runs and scans. The motivation for this article stems from the fact that during the last decades, the performance improvement of the Shewhart charts by exploiting runs rules has attracted continuous research interest. Furthermore, we briefly discuss the Markov chain approach which is the most popular technique for studying the run length distribution of run based control charts.

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Citations
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Journal ArticleDOI

Runs and Scans With Applications

TL;DR: This text is a revision of the book by Arnold, Costillo, and Sarabia (1992), but with much more depth than the original, and comprises a lively overview of conditionally speciŽ ed models of the conditional distribution.
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Improving the performance of CUSUM charts

TL;DR: This study proposes two runs rules schemes for the CUSUM charts and reveals that the proposed schemes perform better for small and moderate shifts, whereas they reasonably maintain their efficiency for large shifts as well.
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Control charts for location based on different sampling schemes

TL;DR: It is observed that the proposed merger of varying runs rules schemes with different sampling strategies improve significantly the detection ability of location control charting structures.
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On efficient use of auxiliary information for control charting in SPC

TL;DR: This study deals with the Shewhart type variability control charts based on auxiliary characteristics for the non-cascading processes, assuming stability of auxiliary parameters.
References
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Book

Introduction to Statistical Quality Control

TL;DR: In this article, the authors present a survey of statistical process control and capability analysis techniques for improving the quality of a business process in the modern business environment, using a variety of techniques.
Journal ArticleDOI

Continuous inspection schemes

Journal ArticleDOI

Control chart tests based on geometric moving averages

TL;DR: In this article, a graphical procedure for generating geometric moving averages is described in which the most recent observation is assigned a weight r, and all previous observations weights decreasing in geometric progression from the most recently back to the first.