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Simultaneous Use of Runs Rules and Auxiliary Information With Exponentially Weighted Moving Average Control Charts
Authors:Waqas Arshad  Nasir Abbas  Muhammad Riaz  Zawar Hussain
Affiliation:1. Department of Statistics, Quaid‐i‐Azam University, Islamabad, Pakistan;2. Department of Mathematics and Statistics, King Fahad University of Petroleum and Minerals, Dhahran, Saudi Arabia
Abstract:Quality has become a key determinant of success in all aspects of industry. Exponentially weighted moving average control chart is an important tool of statistical process control used to monitor and improve quality of industrial processes. To enhance the performance of control charts, there are many strategies including the choice of an efficient plotting statistic, the choice of an efficient sampling design, the application of runs rules, and the use auxiliary information among many others. In this study, we propose nine different signaling schemes to enhance the performance of an exponentially weighted moving average control chart for location parameter, which is based on the exploitation of auxiliary information. Performance evaluation of the proposed schemes is carried out in terms of average run length. Comparisons of proposals are made with the classical as well as the auxiliary based exponentially weighted moving average and cumulative sum charts, which indicate that the proposed schemes perform better than the comparative counterparts under discussion. Copyright © 2016 John Wiley & Sons, Ltd.
Keywords:control chart  exponentially weighted moving average  statistical quality control
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