Control Charts for Zero-Inflated Generalized Poisson Process with Over-dispersion

Abstract

This paper aims to study charts for detecting the mean of nonconformities () shifts based on the zero-inflated generalize poisson (ZIGP) process with over-dispersion. The first chart is the same as a CUSUM-chart where CUSUM statistics constructed base on log-likelihood ratio called, - CUSUM chart, the second chart is               the same as a EWMA-chart based on ZIGP process called, EWMAZ-chart, the third chart is the same as a c-chart based on ZIGP process called, cZ-chart. The performance of control the charts was considered from the average run length. The research result shows that for the shifts process, the EWMAZ-chart is the best for all level of                , proportion zero, mean shiftand over-dispersion. Keywords: over-dispersion, zero-inflated generalized poisson distribution, The exponentially weighted moving average control chart