Phase II Monitoring of Poisson Regression Profiles in Multi-Stage Processes

Quality of final production multi-stage processes depends on several quality characteristics in the previous stages, which is referred to as cascade property. Sometimes, the quality of a process or product is characterized by a functional relationship known as profile. In some applications, this relationship is a Poisson regression profile. In this paper, Phase II monitoring of Poisson regression profile in multi-stage processes is investigated. Then, four methods are proposed and their performances are compared through simulation studies in terms of the average run length (ARL) criterion. In order to investigate the method performance, an illustrative example and a real example are also presented.