A new link function in GLM-based control charts to improve monitoring of two-stage processes with Poisson response

作者：Asgari Ali; Amiri Amirhossein^*; Niaki Seyed Taghi Akhavan

来源：International Journal of Advanced Manufacturing Technology, 2014, 72(9-12): 1243-1256.

DOI：10.1007/s00170-014-5692-z

• Two-stage processes
• Generalized linear models(GLM)
• Poisson response variable
• Cause-selecting control chart (CSC)
• Log square root link function
• Average run length (ARL)
• Standardized residual (SR)

In this paper, a new procedure is developed to monitor a two-stage process with a second stage Poisson quality characteristic. In the proposed method, log and square root link functions are first combined to introduce a new link function that establishes a relationship between the Poisson variable of the second stage and the quality characteristic of the first stage. Then, the standardized residual statistic, which is independent of the quality characteristic in the previous stage and follows approximately standardized normal distribution, is computed based on the proposed link function. Then, Shewhart and exponentially weighted moving average (EWMA) cause-selecting charts are utilized to monitor standardized residuals. Finally, two examples and a case study with a Poisson response variable are investigated, and the performance of the charts is evaluated by using average run length (ARL) criterion in comparison with the best literature method.

• 出版日期2014-6