Process monitoring for mean shifts for multiple stage processes

D. Jearkpaporn, C. M. Borror, George Runger, Douglas Montgomery

Research output: Contribution to journalArticlepeer-review

45 Scopus citations


A monitoring scheme for detecting a mean shift in a multistage manufacturing process for a gamma distributed response and/or a mixture of normally and non-normally distributed variables (and gamma distributed responses) is presented. The procedure is based on a deviance residual obtained from a generalized linear model (GLM). The deviance residual is shown to be a likelihood ratio statistic for detecting a mean shift in many cases for distributions in the exponential family. The advantages over the use of a control chart based on individual observations and the T2 chart based on U statistics are demonstrated by a simulation study. The possibility of modelling the process variation for multistage processes based on a GLM is also discussed.

Original languageEnglish (US)
Pages (from-to)5547-5570
Number of pages24
JournalInternational Journal of Production Research
Issue number23
StatePublished - Dec 2007


  • Cascade process
  • Gamma responses
  • Generalized linear model
  • Model based control chart
  • Multistage process

ASJC Scopus subject areas

  • Strategy and Management
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering


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