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Using CUSUM Control Schemes for Monitoring Quality Levels in Compound Poisson Production Environment: The Geometric Poisson Process

Summary: [This abstract is based on the authors' abstract.]The cumulative sum (CUSUM) control chart is an effective tool for detecting and identifying small, sustained shifts of the production process. For control of defects in the production process, however, the assumption is often made that the defects follow a Poisson distribution when, in practice, the process is more complex and the distributions of defects are better modeled by the compound Poisson distribution. A CUSUM scheme is presented based on the geometric Poisson distribution. With the selection of an appropriate average run length (ARL), a geometric Poisson CUSUM control scheme is developed for process control.

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  • Topics:
  • Keywords: Average run length (ARL),Cumulative sum control chart (CUSUM),Geometric distribution,Markov chains,Poisson distribution
  • Author: Chen, Ching-Wen; Randolph, Paul H.; Liou, Tian-Shy
  • Journal: Quality Engineering