New shewhart and ewma type control charts using exponential type estimator with two auxiliary variables under two phase sampling
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Date
2018
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Abstract
In this paper, two new control charts have been proposed, one is shewhart-type and other one is EWMAtype
control chart. The proposed control charts are based on the exponential type estimator for mean
proposed by Noor-ul-Amin and Hanif (2012). We name them as DS-Shewhart control chart and DSEWMA
control chart. The results shows that the DS-Shewhart control chart shows more efficient results to
traditional/simple Shewhart and EWMA control charts whereas, the DS-EWMA control chart shows more
efficient results to traditional Exponentially Weighted Moving Average (EWMA) and Cumulative Sum
(CUSUM) control charts because they uses the information from two phase sampling with two auxiliary
variables. The proposed control charts can be used for efficient monitoring of the production process in
manufacturing industries. The control limits of the proposed chart are based on estimator, its mean square
errors and bias. A simulated example has been used to compare the proposed and traditional/simple
EWMA and CUSUM control charts performance based on the average run length-out of control (ARL1). It
is observed that the proposed chart performs better than existing EWMA and CUSUM control charts. At
the end of the paper a real life implementation of the proposed control charts is also provided.
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Keywords
Economics, EWMA, two-phase sampling, two auxiliary variables, Average run length.
Citation
Raza, S. M. M., & Moeen, M. (2016). New shewhart and EWMA type control charts using exponential type estimator with two auxiliary variables under two phase sampling. QUQU-D-16-00182. (Economics /SBE), (Not Recognized By HEC))