The Effectiveness of Mixed Non – Parametric Process Monitoring Charts based on Tukey for ZIB and ZIP Processes
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Abstract
This study examines the application of non-parametric Tukey-based control charts to address the limitations of standard control charts in monitoring high-yield manufacturing processes that frequently exhibit zero counts. Specifically, it compares the Tukey control chart (TCC), Tukey-based mixed exponentially weighted moving average - moving average control chart (TEMCC), and Tukey-based mixed moving average - exponentially weighted moving average control chart (TMECC) in their ability to detect parameter shifts in zero-inflated binomial and Poisson (ZIB/ZIP) processes, better suited for this data type. Through a Monte Carlo simulation, TMECC demonstrated superior performance in detecting process changes, especially under high zero inflation. A case study highlights the practical advantages of utilizing ZIB and ZIP models for enhanced quality control in manufacturing environments.
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