Improved Hybrid Exponentially Weighted Moving Average Control Chart using Auxiliary Information

Authors

  • Sadia Tariq Department of Statistics, National College of Business Administration & Economics, Pakistan
  • Muhammad Noor-ul-Amin Department of Statistics, COMSATS University Islamabad-Lahore Campus, Pakistan
  • Muhammad Hanif Department of Statistics, National College of Business Administration & Economics, Pakistan
  • Chi-Hyuck Jun Department of Industrial and Management Engineering, POSTECH, Pohang 790-784, Republic of Korea

DOI:

https://doi.org/10.13052/jrss0974-8024.1316

Keywords:

ARL, auxiliary variable, process control

Abstract

Statistical process control is an important tool for maintaining the quality of a production process. Several control charts are available to monitor changes in process parameters. In this study, a control chart for the process mean is proposed. For this purpose, an auxiliary variable is used in the form of a regression estimator under the configuration of the hybrid exponentially weighted moving average (HEWMA) control chart. The proposed chart is evaluated by conducting a simulation study. The results showed that the proposed chart is sensitive with respect to the HEWMA chart. A real-life application is also presented to demonstrate the performance of the proposed control chart.

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Author Biographies

Sadia Tariq, Department of Statistics, National College of Business Administration & Economics, Pakistan

Sadia Tariq earned her Ph.D. student at the National College of Business Administration & Economics (NCBA&E), Lahore, Pakistan. She is currently working as an Assistant professor of Statistics at Minhaj University, Lahore. His research interests include control charting.

Muhammad Noor-ul-Amin, Department of Statistics, COMSATS University Islamabad-Lahore Campus, Pakistan

Muhammad Noor-ul-Amin received his Ph.D. degree from NCBA&E, Lahore, Pakistan. He has working experience in various universities for teaching and research that includes the Virtual University of Pakistan, University of Sargodha, Pakistan, and the University of Burgundy, France. He is currently working as an Assistant professor at COMSATS University Islamabad-Lahore Campus. His research interests include sampling techniques and control charting techniques. He is an HEC approved supervisor.

Muhammad Hanif, Department of Statistics, National College of Business Administration & Economics, Pakistan

Muhammad Hanif completed his Master’s degree from New South Wales University, Australia in Multistage Cluster Sampling. He completed his Ph.D. in Statistics from the University of Punjab, Lahore, Pakistan. He has more than 40 years of research experience. He is an author of more than 200 research papers and 10 books. He has served as a Professor in various parts of the world i.e. Australia, Libya, Saudi Arabia, and Pakistan. He is presently a Professor of Statistics and Vice-Rector (Research) at NCBA&E, Lahore, Pakistan.

Chi-Hyuck Jun, Department of Industrial and Management Engineering, POSTECH, Pohang 790-784, Republic of Korea

Chi-Hyuck Jun was born in Seoul, Korea in 1954. He received a BS (1977) in mineral and petroleum engineering from Seoul National University, an MS(1979) in industrial engineering from KAIST, and a PhD (1986) in operations research from the University of California, Berkeley. Since 1987, he has been with the department of industrial and management engineering, POSTECH; and he is now a professor and the department head. He is interested in reliability and quality analysis and data mining techniques. He is a member of IEEE, INFORMS, and ASQ.

References

Abbas, N., Riaz, M., and Does, R. J. M. M. (2014). An EWMA-type control chart for monitoring the process mean using auxiliary information, Communications in Statistics-Theory and Methods, 43(16), pp. 3485–3498.

Haq, A. (2013). A new hybrid exponentially weighted moving average control chart for monitoring process mean, Quality and Reliability Engineering International, 29(7), pp. 1015–1025.

Montgomery, D. C., and Runger, G. C. (2007). Applied Statistics And Probability for Engineers, (With CD), John Wiley & Sons.

Noor-ul-Amin, M., and Hanif, M. (2012). Some exponential estimators in survey sampling, Pakistan Journal of Statistics, 28(3), pp. 367–374.

Noor-ul-Amin, M., Khan, S., and Sanaullah, A. (2019). HEWMA control chart using auxiliary information,Iranian Journal of Science and Technology, Transactions A: Science, 43(3), pp. 891–903.

Riaz, M. (2008). Monitoring process mean level using auxiliary information,Statistica Neerlandica, 62(4), pp. 458–481.

Shabbir, J., and Awan, W. H. (2016). An efficient Shewhart-type control chart to monitor moderate size shifts in the process mean in phase II, Quality and Reliability Engineering International, 32(5), pp. 1597–1619.

Yasmeen, U., Noor-ul-Amin, M., and Hanif, M. (2019). Exponential estimators of finite population variance using transformed auxiliary variables, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 89(1), pp. 185–191.

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Published

2020-10-18

How to Cite

Tariq, S. ., Noor-ul-Amin, M. ., Hanif, M. ., & Jun, C.-H. . (2020). Improved Hybrid Exponentially Weighted Moving Average Control Chart using Auxiliary Information. Journal of Reliability and Statistical Studies, 13(01), 113–126. https://doi.org/10.13052/jrss0974-8024.1316

Issue

2020: Vol 13 Iss 1

Section

Articles