Considering Taguchi loss function on economic-statistical design of adaptive exponentially weighted moving average control chart
CHANG Zhi-yuan
SUN Jin-sheng
Abstract：The statistical properties of adaptive exponentially weighted moving average (AEWMA) control chart, which is proposed to deal with the inertia problem of EWMA control chart, have been thoroughly investigated by many authors. However, the research results on economic properties of AEWMA control chart have never been reported in the publica-tions. In this paper, an economic-statistical design model based on Taguchi loss function is proposed for AEWMA control chart. The optimal algorithm based on the range of shift is developed for economic-statistical design of AEWMA chart. The effectiveness of the optimal algorithm is validated by the comparison between AEWMA chart and EWMA chart. The comparison results show that the designed AEWMA chart is still able to deal with the inertia problem of EWMA chart, and the economic properties of AEWMA chart outperforms the EWMA chart. Finally, the sensitivity analysis of AEWMA chart is performed, and the relationship between parameter changes and cost, average run length and optimal decision variables of AEWMA chart are summarized respectively.
Keywords：AEWMA charteconomic-statistical designloss functionmultiobjective optimizationsensitivity analysis
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 344-352 )