A mixed exponentially weighted moving average - optimal synthetic modified Tukey’s control chart for monitoring a symmetric process mean

Authors

  • Utit Yongsang Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Thailand
  • Chanaphun Chananet Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Thailand
  • Saowanit Sukparungsee Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Thailand https://orcid.org/0000-0001-5248-8173

Keywords:

Tukey’s Control Chart, Optimal Synthetic Tukey’s Control Chart, Mixed Control Chart, Monte Carlo Simulation, Average Run Length

Abstract

The objective of this research is to propose a mixed EWMA-OSMTC for detecting process mean when the process is symmetric distributions. The performance of  EWMA-OSMTC is compared with Tukey’s control chart (TCC), Optimal Synthetic Tukey’s control chart (OSTC) and Exponentially Weighted Moving Average – Modified Tukey’s control chart (EWMA-MTCC), usually measured by the Average Run Length (). The in control average run length () is given to 370. In order to approximate ARL, the Monte Carlo simulation method is used and the numerical results found that EWMA-OSMTC is superior to TCC, OSTC and EWMA-MTCC for all magnitudes of change.

Author Biography

Saowanit Sukparungsee, Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Thailand

Department of Applied Statistics,

Faculty of Applied Sciences

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Published

2021-09-05

Issue

Section

Research Articles