Avaliação de desempenho da carta x̅ com a utilização da regra suplementar 2-2 de KLEIN e médias por meio de simulação de Monte Carlo

Abstract

The x̅ control chart plays a crucial role in statistical process control, widely adopted in the industry due to its ease of analysis and implementation. However, its effectiveness is limited in detecting significant shifts in the process mean. This study proposes an enhanced evaluation of the x̅ control chart's performance by incorporating Klein's supplementary rule and moving averages. This supplementary rule signals that the process is out of control only when two consecutive averages exceed the upper control limit or fall below the lower control limit. The results indicate that applying Klein's rule in conjunction with moving averages leads to lower Average Run Lengths (ARL) out of control compared to using the x̅ control chart alone or the x̅ control chart with the application of Klein's rule.