Variable sample size of exponentially weighted moving average chart with measurement errors

Document Type : Article

Authors

1 Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, P.O. Box 18151-159, Iran

2 Departement Qualite Logistique Industrielle et Organisation, IUT, Universite de Nantes and LS2N UMR CNRS 6004, Nantes, France

Abstract

The effect of measurement errors on adaptive Shewhart charts have been investigated by several researchers. However, the effect of measurement errors on the performance of variable sample size EWMA control charts has not so far been investigated. In this paper, the performance of the VSS EWMA chart in the presence of measurement errors is investigated using a linear covariate error model and a Markov chain method. It is shown that the performance of the VSS EWMA chart is significantly affected by the presence of measurement errors. The effect of taking multiple measurements for each item in a subgroup on the performance of the VSS EWMA chart is also investigated. Moreover, the performance of the VSS EWMA control chart is compared with several other control charts in the presence of measurement errors. At last, an illustrative example is presented to show the application of the VSS EWMA control chart with measurement errors.

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