STATISTICAL PROCESS CONTROL FOR CORRELATED DATA: A CASE STUDY

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FALAHNEZHAD M.S.; AKHAVAN NIAKI S.T.

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Journal: INDUSTRIAL ENGINEERING & MANAGEMENT SHARIF (SHARIF: ENGINEERING) Year:2007 | Volume:NEW SERIES (22) | Issue:36 (ISSUE FOCUS: INDUSTRIAL ENGINEERING, MANAGEMENT AND ECONOMICS) Page(s): 9-20

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Title

STATISTICAL PROCESS CONTROL FOR CORRELATED DATA: A CASE STUDY

Author(s)

FALAHNEZHAD M.S. | AKHAVAN NIAKI S.T. | Issue Writer Certificate

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Abstract

In statistical process control, traditionally, the assumption is made that successive observations of a quality characteristic are independently distributed. However, in practice, the observations are often serially correlated. This point has received considerable attention in the literature in the last decade and the modified Shewhart and the residuals charts have been proposed to deal with this situation. In this paper, it is investigated how well these control charts are able to detect a shift in the mean of AR (1) and AR (2) data. It is shown that for negative auto-correlations, the residuals chart is the better of these two and, for positive auto-correlation, it is better to choose the modified shewhart chart. Then, a modification of the residuals chart was made that outperforms both charts in the case of positive autocorrelation. Moreover, in order to improve the performance of the existing control charts, three kinds of control charts namely modified EWMA, EWMA residuals and EWMA of modified residuals were developed, Through a simulation study, it is shown that, in terms of negative auto -correlation, the EWMA residuals chart is the best and for positive auto-correlation it is best to choose the EWMA chart of the modified residuals. Finally, an algorithm was proposed to control AR (1) and AR (2) data. This algorithm was implemented to a real world problem and the results were reported.

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APA: Copy

FALAHNEZHAD, M.S., & AKHAVAN NIAKI, S.T.. (2007). STATISTICAL PROCESS CONTROL FOR CORRELATED DATA: A CASE STUDY. INDUSTRIAL ENGINEERING & MANAGEMENT SHARIF (SHARIF: ENGINEERING), NEW SERIES (22)(36 (ISSUE FOCUS: INDUSTRIAL ENGINEERING, MANAGEMENT AND ECONOMICS)), 9-20. SID. https://sid.ir/paper/107765/en

Vancouver: Copy

FALAHNEZHAD M.S., AKHAVAN NIAKI S.T.. STATISTICAL PROCESS CONTROL FOR CORRELATED DATA: A CASE STUDY. INDUSTRIAL ENGINEERING & MANAGEMENT SHARIF (SHARIF: ENGINEERING)[Internet]. 2007;NEW SERIES (22)(36 (ISSUE FOCUS: INDUSTRIAL ENGINEERING, MANAGEMENT AND ECONOMICS)):9-20. Available from: https://sid.ir/paper/107765/en

IEEE: Copy

M.S. FALAHNEZHAD, and S.T. AKHAVAN NIAKI, “STATISTICAL PROCESS CONTROL FOR CORRELATED DATA: A CASE STUDY,” INDUSTRIAL ENGINEERING & MANAGEMENT SHARIF (SHARIF: ENGINEERING), vol. NEW SERIES (22), no. 36 (ISSUE FOCUS: INDUSTRIAL ENGINEERING, MANAGEMENT AND ECONOMICS), pp. 9–20, 2007, [Online]. Available: https://sid.ir/paper/107765/en

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