An optimal bivariate Poisson field chart for monitoring defects

In this article, we propose an optimal bivariate field chart to monitor two correlated characteristics of count data. This chart is based on optimization of bivariate Poisson confidence interval and projection of bivariate Poisson data in Poisson field. Both a real case study and simulations present improved performance of our proposed algorithm. Our experimental results show improved rate of average run length and robust detection of means shifts compared with other charts. The proposed chart is an effectively applicable chart, especially, in high quality processes.