Avaliação do desempenho da carta 𝑿 barra com uso da regra suplementar 3-3 de Klein utilizando cadeia de Markov

Abstract

The control chart is the most commonly used in industries, in processes where the variable to be controlled is continuous, the control chart X monitors the centrality of the variable. It is of interest to detect shifts in relation to the mean, an alternative to the traditional method of detection is the use of Klein's supplementary rules with the use of Markov Chains, which suggest a good performance for small shifts in the mean. In a previous work, the 2-2 rule was used to analyze the average number of runs to detect lack of control in the process. With these analyzes and conclusions, the present work expands the horizon of these analyzes with the 3-3 rule.