A new sampling strategy to reduce the effect of autocorrelation on a control chart

• Autor(a) principal: Franco, Bruno Chaves [UNESP]
• Data de Publicação: 2014
• Outros Autores: Castagliola, Philippe, Celano, Giovanni, Costa, Antonio Fernando Branco [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1080/02664763.2013.871507; http://hdl.handle.net/11449/227734
• topic: AR(1); ARL; autocorrelation; sampling strategy; Shewhart control chart

On-line monitoring of quality characteristics is essential to limit scrap and rework costs due to bad quality in a manufacturing process. In several manufacturing environments, during production process data can be massively collected with high sampling rates and tight sampling frequencies. As a consequence, natural autocorrelation may arise among consecutive measures within a sample. Autocorrelation significantly inflates the average run length of a control chart and deteriorates its sensitivity to the occurrence of assignable causes. In this paper, we propose a new mixed sampling strategy for the Shewhart chart monitoring the sample mean in a process where temporal autocorrelation between two consecutive observations can be represented by means of a first order autoregressive model AR(1). With this strategy, the sample mean at each inspection time is computed by merging measures of a generic quality characteristic from two consecutive samples taken h hours apart. The statistical properties of a Shewhart control chart implementing the proposed strategy are compared to those implementing a skipping strategy recently proposed in literature. A numerical analysis shows that the mixed sampling outperforms the skipping sampling strategy for high levels of autocorrelation. © 2013 © 2013 Taylor & Francis.