Topic
T-rules
About: T-rules is a research topic. Over the lifetime, 1 publications have been published within this topic receiving 8 citations.
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TL;DR: In this article, a general version of Duncan's X¯-control chart with AT&T rules and a flexible-zone methodology is presented, where the zone widths are not fixed a priori but are determined by economic optimization on the basis of the particular situation at work.
Abstract: Duncan's economic design of Shewhart's X¯-control chart has established its optimal design for monitoring a process. Recently, there has been a renewed interest in the use of supplementary runs rules to increase the sensitivity of the chart to small shifts. This paper presents: (1) a general version of Duncan's model in that AT&T rules 1 and 2 or AT&T rules 1, 2, and 3 are used, and (2) a flexible-zone methodology in that the zone widths are not fixed a priori but are determined by economic optimization on the basis of the particular situation at work. It is observed that the use of AT&T rules with economic design can result in substantial cost savings over Duncan's design for small shifts in the process average.
9 citations