AUXILIARY INFORMATION BASED GENERALLY WEIGHTED MOVING AVERAGE FOR PROCESS MEAN

Istin Fitriana Aziza(1*), Wirajaya Kusuma(2), Siti Soraya(3)


(1) Department of Information Technology, Faculty of Engineering, Bumigora University, Indonesia
(2) Department of Computer Science, Faculty of Engineering, Bumigora University, Indonesia
(3) Department of Computer Science, Faculty of Engineering, Bumigora University, Indonesia
(*) Corresponding Author

Abstract


The univariate mean process monitoring is only used the information from the study variable. One of the univariate control chart that used to monitor the mean process is GWMA control chart. But, in this research, we need to monitor process mean using the information from the study variable and information on the adding or auxiliary variable. The enhanced control chart in this research named AIB-GWMA control chart. In this research, we also made a comparison between the GWMA and AIB-GWMA to know the sensitivity and effectiveness of  these control chart. The comparison is used to know the effect of the auxiliary variable in process monitoring. The performance of these control chart is evaluated using Average Run Length with help of Monte Carlo simulation. The result of this study is AIB-GWMA has a smaller ARL than the GWMA control chart. It showed that AIB-GWMA is faster to detect a shift in mean process. In further study, we recommended to enhance the performance of the AIB-GWMA by extending the current work to the AIB-MaxGWMA, so it is possible to monitor process mean and variance simultaneously.

Keywords


AIB-GWMA; GWMA; Monte Carlo simulation

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References


D. C. Montgomery, “Statistical Quality Control”

B. Y. E. S. Page, “Continuous Inspection Schemes,” vol. 41, no. 1, pp. 100–115, 2013.

A. S. Neubauer, “The EWMA control chart : properties and comparison with other quality-control procedures by computer simulation,” vol. 601, pp. 594–601, 1997.

P. Taylor, S. H. Sheu, and T. C. Lin, “The Generally Weighted Moving Average Control Chart for Detecting Small Shifts in the Process Mean,” no. August 2014, pp. 37–41, 2006, doi: 10.1081/QEN-120024009.

S. A. Abbasi and M. Riaz, “On enhanced control charting for process monitoring,” vol. 8, no. 17, pp. 759–775, 2013, doi: 10.5897/IJPS12.252.

A. Haq, J. Brown, and E. Moltchanova, “Improved Fast Initial Response Features for Exponentially Weighted Moving Average and Cumulative Sum Control Charts,” no. June 2013, 2014, doi: 10.1002/qre.1521.

A. Haq, J. Brown, and E. Moltchanova, "A New Exponentially Weighted Moving Average Control Chart for Monitoring the Process Mean," no. July 2014, doi: 10.1002/qre.1696.

A. Haq, J. Brown, and E. Moltchanova, " A New Maximum Exponentially Weighted Moving Average Control Chart for Monitoring Process Mean and Dispersion," no. 2014, doi: 10.1002/qre.1694.

M. Riaz, “Monitoring process mean level using auxiliary information,” vol. 62, no. 4, pp. 458–481, 2008, doi: 10.1111/j.1467-9574.2008.00390.x.

M. Riaz, “Monitoring process variability using auxiliary,” pp. 253–276, 2008, doi: 10.1007/s00180-007-0084-6.

N. Abbas, M. Riaz, and R. J. M. M. Does, “Communications in Statistics - Theory and Methods An EWMA-Type Control Chart for Monitoring the Process Mean Using Auxiliary Information,” no. December 2014, pp. 37–41, 2012, doi: 10.1080/03610926.2012.700368.

S. Ahmad, S. Akber, M. Riaz, and N. Abbas, “Computers & Industrial Engineering On efficient use of auxiliary information for control charting in SPC q,” Comput. Ind. Eng., vol. 67, pp. 173–184, 2014, doi: 10.1016/j.cie.2013.11.004.

S. A. Abbasi and M. Riaz, “Efficient Monitoring,” no. March 2015, 2016, doi: 10.1002/qre.1785.

W. Arshad, N. Abbas, M. Riaz, and Z. Hussain, “Simultaneous Use of Runs Rules and Auxiliary,” 2016, doi: 10.1002/qre.2007.

R. S. Sparks, “CUSUM Charts for Signalling Varying Location Shifts CUSUM Charts For Signalling Varying Location Shifts,” vol. 4065, 2018, doi: 10.1080/00224065.2000.11979987.


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DOI: https://doi.org/10.26714/jsunimus.11.1.2023.10-21

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