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Control charts are useful tools to regulate processes. Thereby the quality of products and services is enhanced which makes them more attractive to the customers. While fixed-parameter X-bar charts have been regularly utilized in manufacturing systems since 1931, their incompetent effectiveness in the discovery of small-to-moderate shifts in mean has proven to be a major limitation. A systematic study providing in-depth information on the effectiveness of adaptive X-bar control charts at optimal points within the response space was needed to resolve this issue. While previous research used a forward perspective, evaluating the effectiveness of adaptive models for a specified range of design parameters, we utilized a reverse viewpoint to investigate all feasible sets of design parameters. It allowed obtaining the minimum values for three different performance measures using single-objective and multi-objective optimizations. The guideline provides quality engineers with an in-depth awareness on optimal points to select an appropriate adaptive model.

Optimum evaluation performance of adaptive X-bar control charts