A NEW CONTROL CHART TO MONITOR MEAN SHIFTS OF BI-VARIATE QUALITY CONTROL PROCESSES

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

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Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF OPERATIONS RESEARCH Year:2009 | Volume:1 | Issue:2 Page(s): 85-95

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Information Journal Paper

Title

A NEW CONTROL CHART TO MONITOR MEAN SHIFTS OF BI-VARIATE QUALITY CONTROL PROCESSES

Author(s)

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

Keywords

MULTIVARIATE STATISTICAL QUALITY CONTROL

MCUSUM

MEWMA

AVERAGE RUN LENGTH

Abstract

We propose a new approach to monitor an overall mean shift of a bi-variate quality control system. To do this, we first define beliefs on deciding whether the quality characteristics are in out-of-control state. Then, by taking new observations, in an iterative approach we update the belief of each quality characteristics being out-of-control. This task is performed using a recursive method and prior beliefs. Finally, we introduce a statistics in combination with Bivariate Exponentially Weighted Moving Average (BEWMA) statistics to improve the performance of the proposed method. In order to understand the proposed methodology and to evaluate its performance, we perform a simulation study. Moreover, we compare in- and out-of-control AVERAGE RUN LENGTHs of the proposed method with the ones from the well-known MCUSUM and MEWMA procedures in different scenarios of mean shifts. The results of the simulation study show that the proposed methodology performs better than the other methods for small shifts of the process mean.

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APA: Copy

AKHAVAN NIAKI, S.T., & FALAHNEZHAD, M.S.. (2009). A NEW CONTROL CHART TO MONITOR MEAN SHIFTS OF BI-VARIATE QUALITY CONTROL PROCESSES. IRANIAN JOURNAL OF OPERATIONS RESEARCH, 1(2), 85-95. SID. https://sid.ir/paper/308434/en

Vancouver: Copy

AKHAVAN NIAKI S.T., FALAHNEZHAD M.S.. A NEW CONTROL CHART TO MONITOR MEAN SHIFTS OF BI-VARIATE QUALITY CONTROL PROCESSES. IRANIAN JOURNAL OF OPERATIONS RESEARCH[Internet]. 2009;1(2):85-95. Available from: https://sid.ir/paper/308434/en

IEEE: Copy

S.T. AKHAVAN NIAKI, and M.S. FALAHNEZHAD, “A NEW CONTROL CHART TO MONITOR MEAN SHIFTS OF BI-VARIATE QUALITY CONTROL PROCESSES,” IRANIAN JOURNAL OF OPERATIONS RESEARCH, vol. 1, no. 2, pp. 85–95, 2009, [Online]. Available: https://sid.ir/paper/308434/en

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