An overview of control charts for high-quality processes

Major difficulties in the study of high-quality processes with traditional process monitoring techniques are a high false alarm rate and a negative lower control limit. The purpose of time-between-events control charts is to overcome existing problems in the high-quality process monitoring setup. Time-between-events charts detect an out-of-control situation without great loss of sensitivity as compared with existing charts. High-quality control charts gained much attention over the last decade because of the technological revolution. This article is dedicated to providing an overview of recent research and presenting it in a unifying framework. To summarize results and draw a precise conclusion from the statistical point of view, cross-tabulations are also given in this article.