The skipping strategy to reduce the effect of the autocorrelation on the T (2) chart's performance
Carregando...
Fontes externas
Fontes externas
Data
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Springer
Tipo
Artigo
Direito de acesso
Acesso aberto
Fontes externas
Fontes externas
Resumo
In this article, we consider the T (2) control chart for bivariate samples of size n with observations that are not only cross-correlated but also autocorrelated. The cross-covariance matrix of the sample mean vectors were derived with the assumption that the observations are described by a first-order vector autoregressive model-VAR (1). To counteract the undesired effect of autocorrelation, we build up the samples taking one item from the production line and skipping one, two, or more before selecting the next one. The skipping strategy always improves the chart's performance, except when only one variable is affected by the assignable cause, and the observations of this variable are not autocorrelated. If only one item is skipped, the average run length (ARL) reduces in more than 30 %, on average. If two items are skipped, this number increases to 40 %.
Descrição
Palavras-chave
Autocorrelation, Skipping strategy, Hotelling T-2 chart, VAR (1) model
Idioma
Inglês
Citação
International Journal Of Advanced Manufacturing Technology. London: Springer London Ltd, v. 80, n. 9-12, p. 1547-1559, 2015.
