Mixed EWMA–CUSUM chart for COM-Poisson distribution
No Thumbnail Available
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis
Abstract
Description
Abstract
Full text article is available at https://doi.org/10.1080/09720510.2019.1639947
In this article, we develop a mixed (SPC) control chart for monitoring moderate and/or small shift in the process following the Conway Maxwell Poisson (COM-Poisson) distribution. To determine the ability and performance of the proposed mixed EWMA-CUSUM control chart, we evaluate the average run lengths and compare with different control charts. We will compare the efficiency of the proposed control chart over the existing control charts in terms of average run length. The results show an improvement in ARL when compared with the existing charts. A real example and a simulation study is also added to use the chart in the industry.
In this article, we develop a mixed (SPC) control chart for monitoring moderate and/or small shift in the process following the Conway Maxwell Poisson (COM-Poisson) distribution. To determine the ability and performance of the proposed mixed EWMA-CUSUM control chart, we evaluate the average run lengths and compare with different control charts. We will compare the efficiency of the proposed control chart over the existing control charts in terms of average run length. The results show an improvement in ARL when compared with the existing charts. A real example and a simulation study is also added to use the chart in the industry.
Keywords
Exponential weighted moving average, Cumulative sum, Average run length, Statistical Process Control, SPC, EWMA-CUSUM control chart