Fast Initial Response Features for Poisson GWMA Control Charts

Abstract

The Poisson GWMA (PGWMA) control chart is an extension model of Poisson EWMA chart. It is substantially sensitive to small process shifts for monitoring Poisson observations. Recently, some approaches have been proposed to modify EWMA charts with fast initial response (FIR) features. In this article, we employ these approaches in PGWMA charts and introduce a novel chart called Poisson double GWMA (PDGWMA) chart for comparison. Using simulation, various control schemes are designed and their average run lengths (ARLs) are computer and compared. It is shown that the PDGWMA chart is the first choice in detecting small shifts especially when the shifts are downward, and the PGWMA chart with adjusted time-varying control limits performs excellently in detecting great process shifts during the initial stage.

Keywords:

• Average run length
• EWMA
• GWMA
• Poisson distribution

Mathematics Subject Classification:

• Primary 65C60
• Secondary 68U20

Acknowledgment

The authors would like to thank the referee for the insightful comments and suggestions that have helped to improve this article.

Notes

*The entries inside parentheses are SDRLs