Joint economic design of EWMA control charts for mean and variance

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Joint economic design of EWMA control charts for mean and variance

Control charts with exponentially weighted moving average (EWMA) statistics (mean and variance) are used to jointly monitor the mean and variance of a process. An EWMA cost minimization model is presented to design the joint control scheme based on pure economic or both economic and statistical performance criteria. The pure economic model is extended to the economic-statistical design by addin...

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Control charts are powerful tools to monitor quality characteristics of services or production processes. However, in some processes, the performance of process or product cannot be controlled by monitoring a characteristic; instead, they require to be controlled by a function that usually refers as a profile. This study suggests employing exponentially weighted moving average (EWMA) and range ...

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Accurate ARL Calculation for EWMA Control Charts Monitoring Simultaneously Normal Mean and Variance

EWMA control charts designed for monitoring the variance or the mean and the variance of a normally distributed variable are either based on the log transformation of the sample variance S or provide only rough ARL results. Gan (1995), as the most prominent example for the simultaneous case, calculated ARL values precisely for X̄-lnS EWMA schemes. The results in Knoth and Schmid (2002) for X̄-S o...

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In the control chart literature, a number of oneand two-chart schemes has been developed to simultaneously monitor the mean and variance parameters of normally distributed processes. These “joint” monitoring schemes are useful for situations in which special causes can result in a change in both the mean and the variance, and they allow practitioners to avoid the inflated false alarm rate which...

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ژورنال

عنوان ژورنال: European Journal of Operational Research

سال: 2008

ISSN: 0377-2217

DOI: 10.1016/j.ejor.2006.09.084