On the Efficiency of Runs Rules Schemes for Process Monitoring |
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| Authors: | Babar Zaman Muhammad Riaz Saddam Akbar Abbasi |
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| Affiliation: | 1. Research Department, King Khaled Eye Specialist Hospital, Riyadh, Saudi Arabia;2. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia |
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| Abstract: | There are two main types of variations, namely, common and special causes leading to in‐control and out‐of‐control states, respectively. Control charts are popular tools used to differentiate between these two states of a process. Implementation of runs rules schemes with control charts is an attractive approach for process monitoring. This study is designed to describe the methodology of runs rules schemes and discuss their implementation for different types of control charts. We have considered memory‐less charts, namely,  , S, and R charts for our study purposes. It is examined that the efficiency gain depends on the number of decision points utilized to implement a given rule. Moreover, superiority of runs rules schemes may vary for different types of location and dispersion charts. An application example using a dataset is also included in the study for practical considerations. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | dispersion parameter location parameter process monitoring power efficiency Shewhart control charts runs rules schemes |
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