Run Rules-Based EWMA Charts for Efficient Monitoring of Profile Parameters

In usual quality control methods, the quality of a process or product is evaluated by monitoring one or more quality characteristics using their corresponding distributions. However, when the quality characteristic is defined through the relationship between one or more response and independent vari...

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Main Authors: Ali Yeganeh, Ali Reza Shadman, Ioannis S. Triantafyllou, Sandile Charles Shongwe, Saddam Akber Abbasi
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9363123/
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author Ali Yeganeh
Ali Reza Shadman
Ioannis S. Triantafyllou
Sandile Charles Shongwe
Saddam Akber Abbasi
author_facet Ali Yeganeh
Ali Reza Shadman
Ioannis S. Triantafyllou
Sandile Charles Shongwe
Saddam Akber Abbasi
author_sort Ali Yeganeh
collection DOAJ
description In usual quality control methods, the quality of a process or product is evaluated by monitoring one or more quality characteristics using their corresponding distributions. However, when the quality characteristic is defined through the relationship between one or more response and independent variables, the regime is referred to as profiles monitoring. In this article, we improve the performance of the Exponentially Weighted Moving Average Range (EWMAR) control charts, which are implemented for monitoring linear profiles (i.e., intercept, slope and average residual between sample and reference lines) by integrating them with run rules in order to quickly detect various magnitudes of shifts in profile parameters. The validation of the proposed control chart is accomplished by examining its performance using the average run length (ARL) criteria. The proposed EWMAR chart with run rules exhibits a much better performance in detecting small and decreasing shifts than the other competing charts. Finally, an example from multivariate manufacturing industry is employed to illustrate the superiority of the EWMAR chart with run rules.
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spelling doaj.art-2a6044de834f46ca94d060d61eccc5cd2022-12-22T03:12:38ZengIEEEIEEE Access2169-35362021-01-019385033852110.1109/ACCESS.2021.30619909363123Run Rules-Based EWMA Charts for Efficient Monitoring of Profile ParametersAli Yeganeh0https://orcid.org/0000-0002-1569-9809Ali Reza Shadman1https://orcid.org/0000-0002-3599-4063Ioannis S. Triantafyllou2https://orcid.org/0000-0002-7512-5217Sandile Charles Shongwe3https://orcid.org/0000-0003-2243-8196Saddam Akber Abbasi4https://orcid.org/0000-0003-1843-8863Department of Industrial Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Industrial Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Computer Science and Biomedical Informatics, University of Thessaly, Lamia, GreeceDepartment of Statistics, College of Science, Engineering and Technology, University of South Africa, Pretoria, South AfricaDepartment of Mathematics, Statistics and Physics, Qatar University, Doha, QatarIn usual quality control methods, the quality of a process or product is evaluated by monitoring one or more quality characteristics using their corresponding distributions. However, when the quality characteristic is defined through the relationship between one or more response and independent variables, the regime is referred to as profiles monitoring. In this article, we improve the performance of the Exponentially Weighted Moving Average Range (EWMAR) control charts, which are implemented for monitoring linear profiles (i.e., intercept, slope and average residual between sample and reference lines) by integrating them with run rules in order to quickly detect various magnitudes of shifts in profile parameters. The validation of the proposed control chart is accomplished by examining its performance using the average run length (ARL) criteria. The proposed EWMAR chart with run rules exhibits a much better performance in detecting small and decreasing shifts than the other competing charts. Finally, an example from multivariate manufacturing industry is employed to illustrate the superiority of the EWMAR chart with run rules.https://ieeexplore.ieee.org/document/9363123/Control chartlinear profilesphase IIprofile monitoringrun rules scheme
spellingShingle Ali Yeganeh
Ali Reza Shadman
Ioannis S. Triantafyllou
Sandile Charles Shongwe
Saddam Akber Abbasi
Run Rules-Based EWMA Charts for Efficient Monitoring of Profile Parameters
IEEE Access
Control chart
linear profiles
phase II
profile monitoring
run rules scheme
title Run Rules-Based EWMA Charts for Efficient Monitoring of Profile Parameters
title_full Run Rules-Based EWMA Charts for Efficient Monitoring of Profile Parameters
title_fullStr Run Rules-Based EWMA Charts for Efficient Monitoring of Profile Parameters
title_full_unstemmed Run Rules-Based EWMA Charts for Efficient Monitoring of Profile Parameters
title_short Run Rules-Based EWMA Charts for Efficient Monitoring of Profile Parameters
title_sort run rules based ewma charts for efficient monitoring of profile parameters
topic Control chart
linear profiles
phase II
profile monitoring
run rules scheme
url https://ieeexplore.ieee.org/document/9363123/
work_keys_str_mv AT aliyeganeh runrulesbasedewmachartsforefficientmonitoringofprofileparameters
AT alirezashadman runrulesbasedewmachartsforefficientmonitoringofprofileparameters
AT ioannisstriantafyllou runrulesbasedewmachartsforefficientmonitoringofprofileparameters
AT sandilecharlesshongwe runrulesbasedewmachartsforefficientmonitoringofprofileparameters
AT saddamakberabbasi runrulesbasedewmachartsforefficientmonitoringofprofileparameters