Optimum initial process mean and production cycle for processes with a linear trend

J. S. Jang, D. G. Ahn, M. K. Lee, E. A. Elsayed

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


This article presents the problem of jointly determining optimum initial process mean and length of the production cycle for processes subject to a constant linear trend during the same production cycle but varies after resetting the processes. Assuming that the quality characteristic is normal, the optimum initial process mean and the production cycle are jointly obtained by minimizing the expected total loss per unit time. We assume that the quality loss function due to deviation from the target value is quadratic and resetting loss is constant. An example from a tube-rolling process is presented and numerical studies are performed.

Original languageAmerican English
Pages (from-to)229-235
Number of pages7
JournalQuality Engineering
Issue number2
StatePublished - 2000

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Industrial and Manufacturing Engineering


  • Length of the production cycle
  • Linear trend
  • Optimum initial process mean
  • Quality loss function
  • Tube-rolling process

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