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Function‐based adaptive exponentially weighted moving average dispersion control chart
Author(s) -
Arshad Asma,
NoorulAmin Muhammad,
Hanif Muhammad
Publication year - 2021
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2883
Subject(s) - ewma chart , smoothing , control chart , chart , exponential smoothing , dispersion (optics) , estimator , moving average , control limits , computer science , constant (computer programming) , statistics , x bar chart , process (computing) , algorithm , mathematics , physics , optics , programming language , operating system
In this study, a new process dispersion monitoring control chart is proposed based on a function‐based adaptation to select the smoothing constant value, named as a function‐based adaptive exponentially weighted moving average (EWMA) dispersion control chart. It is suggested to track shift ranges first expected in process dispersion by opting for smoothing constant computation with the help of a function. The shift magnitude assessment is made by an unbiased estimator that determines the smoothing constant value through the proposed function. The enhanced efficiency of the proposed chart can be assessed in terms of smaller run‐length profiles, which are determined through Monte Carlo simulations. The proposed chart is compared with the existing adaptive EWMA dispersion chart, and it turned out to perform substantially efficiently in detecting all kinds of decreasing and increasing process dispersion shift magnitudes. Moreover, a real‐life dataset application is explained in the example section to elaborate on the ease of implementation in the real‐life scenario.