Explicit Formulas of Average Run Lengths of Moving Average-Range Control Chart

Authors

  • Suganya Phantu Faulty of Science, Energy, and Environment, King’s Mongkut University of Technology North Bangkok, Rayong, Thailand
  • Chanaphun Chananet Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand
  • Yupaporn Areepong Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand
  • Saowanit Sukparungsee Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

Keywords:

Closed-form formulas, variation, moving average control chart, average run length, range

Abstract

Based on the statistical principles, the control chart detects and controls the production process to meet the required quality. This research aimed to present the explicit formula of average run length for moving average based on range gif.latex?(MA_R)  control chart for detecting a change of variation. In addition, the efficiency of the change detection of the gif.latex?MA_R  control chart and R chart at different levels of the parameter change are compared. The criteria used for measuring the efficiency included the average run length for the control process gif.latex?(ARL_1). The research showed that the processes’ results were under normal distribution. The performance of the control chart shows that the gif.latex?MA_R chart has lower ARL1 values than the R chart for all change levels. The adaptation results of the proposed control chart to two sets of actual data corresponded to the research results.

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Published

2024-06-29

How to Cite

Phantu, S. ., Chananet, C. ., Areepong, Y. ., & Sukparungsee, S. . (2024). Explicit Formulas of Average Run Lengths of Moving Average-Range Control Chart. Thailand Statistician, 22(3), 618–633. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/254772

Issue

Vol. 22 No. 3 (2024): July

Section

Articles

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Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.