Process Quality Evaluation Model with Taguchi Cost Loss Index

Process Quality Evaluation Model with Taguchi Cost Loss Index

Process Capability Indices (PCIs) are not only a good communication tools between sales departments and customers but also convenient tools for internal engineers to evaluate and analyze process capabilities of products. Many statisticians and process engineers are dedicated to research on process c...

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Autores principales: Chiao-Tzu Huang, Kuei-Kuei Lai
Formato: article
Lenguaje:EN
Publicado: MDPI AG 2021
Materias:
process capability indices
Taguchi cost loss index
confidence interval
mathematical programming
control chart data
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
Acceso en línea:https://doaj.org/article/32d6e40d76d44cbfbd8f6e58451395e0
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spelling oai:doaj.org-article:32d6e40d76d44cbfbd8f6e58451395e02021-11-11T15:14:30ZProcess Quality Evaluation Model with Taguchi Cost Loss Index10.3390/app1121101822076-3417https://doaj.org/article/32d6e40d76d44cbfbd8f6e58451395e02021-10-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10182https://doaj.org/toc/2076-3417Process Capability Indices (PCIs) are not only a good communication tools between sales departments and customers but also convenient tools for internal engineers to evaluate and analyze process capabilities of products. Many statisticians and process engineers are dedicated to research on process capability indices, among which the Taguchi cost loss index can reflect both the process yield and process cost loss at the same time. Therefore, in this study the Taguchi cost loss index was used to propose a novel process quality evaluation model. After the process was stabilized, a process capability evaluation was carried out. This study used Boole’s inequality and DeMorgan’s theorem to derive the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mn>1</mn><mo>−</mo><mi>α</mi></mrow><mo>)</mo></mrow><mo>×</mo><mn>100</mn><mo>%</mo></mrow></semantics></math></inline-formula> confidence region of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mi>δ</mi><mo>,</mo><msup><mi>γ</mi><mn>2</mn></msup></mrow><mo>)</mo></mrow></mrow></semantics></math></inline-formula> based on control chart data. The study adopted the mathematical programming method to find the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mn>1</mn><mo>−</mo><mi>α</mi></mrow><mo>)</mo></mrow><mo>×</mo><mn>100</mn><mo>%</mo></mrow></semantics></math></inline-formula> confidence interval of the Taguchi cost loss index then employed a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mn>1</mn><mo>−</mo><mi>α</mi></mrow><mo>)</mo></mrow><mo>×</mo><mn>100</mn><mo>%</mo></mrow></semantics></math></inline-formula> confidence interval to perform statistical testing and to determine whether the process needed improvement.Chiao-Tzu HuangKuei-Kuei LaiMDPI AGarticleprocess capability indicesTaguchi cost loss indexconfidence intervalmathematical programmingcontrol chart dataTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10182, p 10182 (2021)
institution DOAJ
collection DOAJ
language EN
topic process capability indices
Taguchi cost loss index
confidence interval
mathematical programming
control chart data
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
spellingShingle process capability indices
Taguchi cost loss index
confidence interval
mathematical programming
control chart data
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
Chiao-Tzu Huang
Kuei-Kuei Lai
Process Quality Evaluation Model with Taguchi Cost Loss Index
description Process Capability Indices (PCIs) are not only a good communication tools between sales departments and customers but also convenient tools for internal engineers to evaluate and analyze process capabilities of products. Many statisticians and process engineers are dedicated to research on process capability indices, among which the Taguchi cost loss index can reflect both the process yield and process cost loss at the same time. Therefore, in this study the Taguchi cost loss index was used to propose a novel process quality evaluation model. After the process was stabilized, a process capability evaluation was carried out. This study used Boole’s inequality and DeMorgan’s theorem to derive the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mn>1</mn><mo>−</mo><mi>α</mi></mrow><mo>)</mo></mrow><mo>×</mo><mn>100</mn><mo>%</mo></mrow></semantics></math></inline-formula> confidence region of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mi>δ</mi><mo>,</mo><msup><mi>γ</mi><mn>2</mn></msup></mrow><mo>)</mo></mrow></mrow></semantics></math></inline-formula> based on control chart data. The study adopted the mathematical programming method to find the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mn>1</mn><mo>−</mo><mi>α</mi></mrow><mo>)</mo></mrow><mo>×</mo><mn>100</mn><mo>%</mo></mrow></semantics></math></inline-formula> confidence interval of the Taguchi cost loss index then employed a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mn>1</mn><mo>−</mo><mi>α</mi></mrow><mo>)</mo></mrow><mo>×</mo><mn>100</mn><mo>%</mo></mrow></semantics></math></inline-formula> confidence interval to perform statistical testing and to determine whether the process needed improvement.
format article
author Chiao-Tzu Huang
Kuei-Kuei Lai
author_facet Chiao-Tzu Huang
Kuei-Kuei Lai
author_sort Chiao-Tzu Huang
title Process Quality Evaluation Model with Taguchi Cost Loss Index
title_short Process Quality Evaluation Model with Taguchi Cost Loss Index
title_full Process Quality Evaluation Model with Taguchi Cost Loss Index
title_fullStr Process Quality Evaluation Model with Taguchi Cost Loss Index
title_full_unstemmed Process Quality Evaluation Model with Taguchi Cost Loss Index
title_sort process quality evaluation model with taguchi cost loss index
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/32d6e40d76d44cbfbd8f6e58451395e0
work_keys_str_mv AT chiaotzuhuang processqualityevaluationmodelwithtaguchicostlossindex
AT kueikueilai processqualityevaluationmodelwithtaguchicostlossindex
_version_ 1718436358591086592

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