Circle Chart for the Monitoring of Maxima in Periodic Processes

Abstract

An important process characteristic is process maxima as it is often an important quality or performance parameter. Such measurements often play a vital role in process analysis and have to be monitored carefully. In this paper, we consider the problem of monitoring process maxima when the process exhibits a kind of periodicity. A circle chart for periodical process maxima with or without seasonal patterns monitoring is developed and studied, by modeling the process maxima using the extreme value distribution. Mean normalization is applied for periodic process monitoring with seasonal patterns to facilitate comparison between different sections and periods. The average cycle run length is proposed to measure charting efficiency. Copyright © 2014 John Wiley & Sons, Ltd.

Distribution-free Lepage Type Circular-grid Charts for Joint Monitoring of Location and Scale Parameters of a Process

“…These researchers argued that the collective graphical upshot of points that lie inside or outside a certain closed region is more attractive than points just crossing the linear boundary. Recently, Deng et al considered circle chart for monitoring of the maxima in periodic processes. However, McCracken and Chakraborti pointed out that ‘while visually appealing, a disadvantage of such control schemes is that the time‐ordered nature of the data is lost’.…”