Analysis and Application of Selected Control Charts Suitable for Smart Manufacturing Processes

Nonparametric control charts (NPCC) have shown great potential for monitoring processes in conditions of smart manufacturing with complex structures, various monitored characteristics and the need to process big data. Practical applications of NPCCs are very rare. The main reasons for this situation...

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Main Authors: Tereza Smajdorová, Darja Noskievičová
Format: Article
Language:English
Published: MDPI AG 2022-05-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/11/5410
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author Tereza Smajdorová
Darja Noskievičová
author_facet Tereza Smajdorová
Darja Noskievičová
author_sort Tereza Smajdorová
collection DOAJ
description Nonparametric control charts (NPCC) have shown great potential for monitoring processes in conditions of smart manufacturing with complex structures, various monitored characteristics and the need to process big data. Practical applications of NPCCs are very rare. The main reasons for this situation are a deficiency in software support and a lack of simple but complete instructions for their application. The introduction of such manual, which is based on the authors’ own simulations of performance of wide spectrum of NPCCs in conditions of different violations of data prerequisites, leading to recommendations for the selection of the most effective NPCC in various practical situations, is the main goal of this paper. Compared to other similar studies, this approach covers a wider range of control charts, and it was applied to a wider spectrum of data assumption violations. As an integral part of these analyses, an examination of various control chart performance indicators such as ARL, MRL, <i>x</i><sub>5</sub> and <i>x</i><sub>95</sub> was performed using simulations to select the best of them. The designed methodology was verified using real data.
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spelling doaj.art-0df068ac3821424b8362f4b3d0e498632023-11-23T13:41:14ZengMDPI AGApplied Sciences2076-34172022-05-011211541010.3390/app12115410Analysis and Application of Selected Control Charts Suitable for Smart Manufacturing ProcessesTereza Smajdorová0Darja Noskievičová1Department of Quality Management, Faculty of Materials Science and Technology, VŠB-Technical University of Ostrava, 17. listopadu 2172/15, 708 00 Ostrava, Czech RepublicDepartment of Quality Management, Faculty of Materials Science and Technology, VŠB-Technical University of Ostrava, 17. listopadu 2172/15, 708 00 Ostrava, Czech RepublicNonparametric control charts (NPCC) have shown great potential for monitoring processes in conditions of smart manufacturing with complex structures, various monitored characteristics and the need to process big data. Practical applications of NPCCs are very rare. The main reasons for this situation are a deficiency in software support and a lack of simple but complete instructions for their application. The introduction of such manual, which is based on the authors’ own simulations of performance of wide spectrum of NPCCs in conditions of different violations of data prerequisites, leading to recommendations for the selection of the most effective NPCC in various practical situations, is the main goal of this paper. Compared to other similar studies, this approach covers a wider range of control charts, and it was applied to a wider spectrum of data assumption violations. As an integral part of these analyses, an examination of various control chart performance indicators such as ARL, MRL, <i>x</i><sub>5</sub> and <i>x</i><sub>95</sub> was performed using simulations to select the best of them. The designed methodology was verified using real data.https://www.mdpi.com/2076-3417/12/11/5410nonparametric control chartscontrol chart performance simulationscontrol chart performance indicatorsdata assumption violationssmart manufacturing
spellingShingle Tereza Smajdorová
Darja Noskievičová
Analysis and Application of Selected Control Charts Suitable for Smart Manufacturing Processes
Applied Sciences
nonparametric control charts
control chart performance simulations
control chart performance indicators
data assumption violations
smart manufacturing
title Analysis and Application of Selected Control Charts Suitable for Smart Manufacturing Processes
title_full Analysis and Application of Selected Control Charts Suitable for Smart Manufacturing Processes
title_fullStr Analysis and Application of Selected Control Charts Suitable for Smart Manufacturing Processes
title_full_unstemmed Analysis and Application of Selected Control Charts Suitable for Smart Manufacturing Processes
title_short Analysis and Application of Selected Control Charts Suitable for Smart Manufacturing Processes
title_sort analysis and application of selected control charts suitable for smart manufacturing processes
topic nonparametric control charts
control chart performance simulations
control chart performance indicators
data assumption violations
smart manufacturing
url https://www.mdpi.com/2076-3417/12/11/5410
work_keys_str_mv AT terezasmajdorova analysisandapplicationofselectedcontrolchartssuitableforsmartmanufacturingprocesses
AT darjanoskievicova analysisandapplicationofselectedcontrolchartssuitableforsmartmanufacturingprocesses