INTERPRETATION OF MULTIVARIATE CONTROL CHART BASED ON PAIRED DECOMPOSITION OF T2

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HAFEZI S.; SHAHRIARI HAMID

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Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN) Year:2009 | Volume:20 | Issue:1 Page(s): 23-31

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Title

INTERPRETATION OF MULTIVARIATE CONTROL CHART BASED ON PAIRED DECOMPOSITION OF T2

Author(s)

HAFEZI S. | SHAHRIARI HAMID | Issue Writer Certificate

Keywords

MSPCQ3

T2CHARTQ3

WARNING LIMITSQ3

PAIRED DECOMPOSITION OF T2Q3

Abstract

There are multivariate processes in which two or more quality characteristics must be controlled simultaneously. In controlling such processes, two goals must be achieved. The first one is to identify an out of control situation and the second is to determine the quality features caused the out of control signal. In this paper, both goals are investigated. In addition to the current methods used to diagnose an out of control situation, for the purpose of making the Hotelling T2 more sensitive, the WARNING LIMITS for T2 are also defined. In determining the quality characteristics caused the out of control situation, current methods are investigated and a new procedure is suggested. Not only the new approach does not have some of the deficiencies with the current methods, but also its application is much simpler in practice. The results of simulation using the WARNING LIMITS for very small shifts in process mean vector indicate that in 81% of the time, shifts are being detected. While in similar conditions, when the regular T2 is used, only 19% of the time true signals are observed. In comparison with similar techniques, use of new procedure in detecting the quality characteristics responsible for an out of control situation identifies the shifted quality features in 76% of the time. While in existing methods at most in 64% of the time the shifted quality characteristics are detected.

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APA: Copy

HAFEZI, S., & SHAHRIARI, HAMID. (2009). INTERPRETATION OF MULTIVARIATE CONTROL CHART BASED ON PAIRED DECOMPOSITION OF T^{2. INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN), 20(1), 23-31. SID. https://sid.ir/paper/65688/en}

Vancouver: Copy

HAFEZI S., SHAHRIARI HAMID. INTERPRETATION OF MULTIVARIATE CONTROL CHART BASED ON PAIRED DECOMPOSITION OF T^{2. INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN)[Internet]. 2009;20(1):23-31. Available from: https://sid.ir/paper/65688/en}

IEEE: Copy

S. HAFEZI, and HAMID SHAHRIARI, “INTERPRETATION OF MULTIVARIATE CONTROL CHART BASED ON PAIRED DECOMPOSITION OF T^{2,” INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING AND PRODUCTION MANAGEMENT (IJIE) (INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE) (PERSIAN), vol. 20, no. 1, pp. 23–31, 2009, [Online]. Available: https://sid.ir/paper/65688/en}

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