Determination of the control chart CUSUM-ln(S2)’s parameters: Using a computational tool to support statistical control

José Gomes Requeijo; Ricardo Costa Afonso; Ricardo Barros Cardoso; José Pedro Borrego

doi:10.1007/978-3-642-55122-2_78

Determination of the control chart CUSUM-ln(S²)’s parameters: Using a computational tool to support statistical control

José Gomes Requeijo, Ricardo Costa Afonso, Ricardo Barros Cardoso, José Pedro Borrego

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The increasing attention devoted to the control of process variance has stimulated the development of a set of control charts, which includes the CUSUMln(S₂) control chart that is considered one of the most effective tools to control the variance and consequently one of the most used whenever a SPC is implemented. However, a common problem which arises with the application of CUSUM-ln(S₂) control charts is the limited set of tables of results for consultation. In general, only the most common situations are available. Therefore, these resources become ineffective when one need to cover other less common cases, but equally important and considered target of interest. On the other hand, there are not available the abacuses correspondent to the numerical tables. This paper intends to present a new approach (methodology), based on a computational tool (FCSCE), which provides us, not only with the abacuses, but also with the respective tables. This software tool, implemented inMATLAB environment, is a key instrument to deal with generic SPC case studies involving the CUSUM-ln(S₂) control chart, responding effectively to the previously listed impairments.

Original language	English
Title of host publication	Proceedings of the 8th International Conference on Management Science and Engineering Management - Focused on Computing and Engineering Management
Editors	Virgílio António Cruz-Machado, Benjamin Lev, Jiuping Xu, Stefan Nickel
Publisher	Springer Verlag
Pages	905-914
Number of pages	10
ISBN (Electronic)	978-3-642-55122-2
ISBN (Print)	978-3-642-55121-5
DOIs	https://doi.org/10.1007/978-3-642-55122-2_78
Publication status	Published - 1 Jan 2014
Event	8th International Conference on Management Science and Engineering Management, ICMSEM 2014 - Lisboa, Lisbon, Portugal Duration: 25 Jul 2014 → 27 Jul 2014 Conference number: 8th http://www.icmsem.org/past/201501/8.html

Publication series

Name	Advances in Intelligent Systems and Computing
Volume	281
ISSN (Print)	2194-5357

Conference

Conference	8th International Conference on Management Science and Engineering Management, ICMSEM 2014
Abbreviated title	ICMSEM 2014
Country/Territory	Portugal
City	Lisbon
Period	25/07/14 → 27/07/14
Internet address	http://www.icmsem.org/past/201501/8.html

Keywords

Abacuses
Computational tool to support statistical control (FCSCE)
Control chart CUSUM-ln(S)
Statistical process control (SPC)
Tables of results

Access to Document

10.1007/978-3-642-55122-2_78

Cite this

Requeijo, J. G., Afonso, R. C., Cardoso, R. B., & Borrego, J. P. (2014). Determination of the control chart CUSUM-ln(S²)’s parameters: Using a computational tool to support statistical control. In V. A. Cruz-Machado, B. Lev, J. Xu, & S. Nickel (Eds.), Proceedings of the 8th International Conference on Management Science and Engineering Management - Focused on Computing and Engineering Management (pp. 905-914). (Advances in Intelligent Systems and Computing; Vol. 281). Springer Verlag. https://doi.org/10.1007/978-3-642-55122-2_78

Requeijo, José Gomes ; Afonso, Ricardo Costa ; Cardoso, Ricardo Barros et al. / Determination of the control chart CUSUM-ln(S²)’s parameters : Using a computational tool to support statistical control. Proceedings of the 8th International Conference on Management Science and Engineering Management - Focused on Computing and Engineering Management. editor / Virgílio António Cruz-Machado ; Benjamin Lev ; Jiuping Xu ; Stefan Nickel. Springer Verlag, 2014. pp. 905-914 (Advances in Intelligent Systems and Computing).

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abstract = "The increasing attention devoted to the control of process variance has stimulated the development of a set of control charts, which includes the CUSUMln(S2) control chart that is considered one of the most effective tools to control the variance and consequently one of the most used whenever a SPC is implemented. However, a common problem which arises with the application of CUSUM-ln(S2) control charts is the limited set of tables of results for consultation. In general, only the most common situations are available. Therefore, these resources become ineffective when one need to cover other less common cases, but equally important and considered target of interest. On the other hand, there are not available the abacuses correspondent to the numerical tables. This paper intends to present a new approach (methodology), based on a computational tool (FCSCE), which provides us, not only with the abacuses, but also with the respective tables. This software tool, implemented inMATLAB environment, is a key instrument to deal with generic SPC case studies involving the CUSUM-ln(S2) control chart, responding effectively to the previously listed impairments.",

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Requeijo, JG, Afonso, RC, Cardoso, RB & Borrego, JP 2014, Determination of the control chart CUSUM-ln(S²)’s parameters: Using a computational tool to support statistical control. in VA Cruz-Machado, B Lev, J Xu & S Nickel (eds), Proceedings of the 8th International Conference on Management Science and Engineering Management - Focused on Computing and Engineering Management. Advances in Intelligent Systems and Computing, vol. 281, Springer Verlag, pp. 905-914, 8th International Conference on Management Science and Engineering Management, ICMSEM 2014, Lisbon, Portugal, 25/07/14. https://doi.org/10.1007/978-3-642-55122-2_78

Determination of the control chart CUSUM-ln(S²)’s parameters: Using a computational tool to support statistical control. / Requeijo, José Gomes; Afonso, Ricardo Costa; Cardoso, Ricardo Barros et al.
Proceedings of the 8th International Conference on Management Science and Engineering Management - Focused on Computing and Engineering Management. ed. / Virgílio António Cruz-Machado; Benjamin Lev; Jiuping Xu; Stefan Nickel. Springer Verlag, 2014. p. 905-914 (Advances in Intelligent Systems and Computing; Vol. 281).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Requeijo JG, Afonso RC, Cardoso RB, Borrego JP. Determination of the control chart CUSUM-ln(S²)’s parameters: Using a computational tool to support statistical control. In Cruz-Machado VA, Lev B, Xu J, Nickel S, editors, Proceedings of the 8th International Conference on Management Science and Engineering Management - Focused on Computing and Engineering Management. Springer Verlag. 2014. p. 905-914. (Advances in Intelligent Systems and Computing). doi: 10.1007/978-3-642-55122-2_78