Improved quality control charts for monitoring the process mean,using double-ranked set sampling methods |
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Authors: | Amer Ibrahim Al-Omari Abdul Haq |
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Institution: | 1. Department of Mathematics, Faculty of Sciences , Al al-Bayt University , Mafraq , 25113 , Jordan;2. Department of Statistics , Quaid-i-Azam University , Islamabad , 45320 , Pakistan |
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Abstract: | Statistical control charts are widely used in the manufacturing industry. The Shewhart-type control charts are developed to improve the monitoring process mean by using the double quartile-ranked set sampling, quartile double-ranked set sampling, and double extreme-ranked set sampling methods. In terms of the average run length, the performance of the proposed control charts are compared with the existing control charts based on simple random sampling, ranked set sampling and extreme-ranked set sampling methods. An application of real data is also considered to investigate the performance of the suggested process mean control charts. The findings of the study revealed that the newly suggested control charts are superior to the existing counterparts. |
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Keywords: | ranked set sampling quality control charts average run length efficiency double-ranked set sampling |
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