Design of Control Charts Using Repetitive Sampling: A Comparative Study of Conditional Expected Delay

Authors

  • Nasrullah Khan College of Statistical Sciences, University of the Punjab, Lahore 54000, Pakistan
  • Muhammad Aslam Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, 21551, Saudi Arabia
  • Mohammed Albassam Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, 21551, Saudi Arabia

DOI:

https://doi.org/10.13052/jrss0974-8024.1719

Keywords:

Control chart, repetitive sampling, simulation, CED, efficiency

Abstract

Repetitive sampling is a valuable technique in statistical quality control, especially when industrial engineers face uncertainty with initial sample information. This study aims to develop a Conditional Expected Delay (CED) metric, focusing on scenarios without false alarms prior to a process shift, by using repetitive sampling for control charts. Additionally, we will evaluate the performance of control charts with repetitive sampling against traditional EWMA control charts in terms of CED, considering various smoothing constants and shift values. Our results demonstrate that control charts using repetitive sampling consistently outperform EWMA control charts. Therefore, based on our comprehensive analysis, we conclude that control charts with repetitive sampling are more efficient and effective than EWMA control charts.

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Author Biographies

Nasrullah Khan, College of Statistical Sciences, University of the Punjab, Lahore 54000, Pakistan

Nasrullah Khan is currently working as Associate Professor in the College of Statistical and Actuarial Sciences, University of the Punjab. He has diverse experience of working in the various institute. He started his carrier from Crop Reporting Services, Punjab after that he joined Pakistan Bureau of Statistics, where he remained involve in the processing of Survey and Census data. He joined lectureship in FGEI institutes in 2010 after that in 2015 he joined Jhang Campus of University of Veterinary and animal Sciences, Lahore. He has published more than 60 research articles in national and international Journals. He has interest to work in the field of Biostatistics, Statistical Quality Control and Official Statistics.

Muhammad Aslam, Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, 21551, Saudi Arabia

Muhammad Aslam is a distinguished academic in the Department of Statistics at King Abdulaziz University, Saudi Arabia. With extensive expertise in statistical methods and applications, Prof. Aslam has made significant contributions to the field, particularly in the development and application of advanced statistical techniques such as neutrosophic statistics. His research focuses on innovative approaches to handling uncertainty and imprecision in data analysis. Prof. Aslam’s work is recognized for its impact on both theoretical developments and practical applications in various domains.

Mohammed Albassam, Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, 21551, Saudi Arabia

Mohammed Albassam received his B.Sc. degree from Mathematics department at King Abdulaziz University in 1990, M.Sc. and Ph.D. degrees from School of Mathematics and Statistics at University of Sheffield, UK, in 1995 and 2000. He is currently working as a Professor at Statistics department in King Abdulaziz University. He has published many articles in International journals. His fields of interest are Statistical inference, Distributions theory, Neutrosophic Statistics and Time series Analysis.

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Published

2024-08-12

How to Cite

Khan, N., Aslam, M., & Albassam, M. (2024). Design of Control Charts Using Repetitive Sampling: A Comparative Study of Conditional Expected Delay. Journal of Reliability and Statistical Studies, 17(01), 223–240. https://doi.org/10.13052/jrss0974-8024.1719

Issue

2024: Vol 17 Iss 1

Section

Articles