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Optimal control policy for dependent process steps with over-adjusted means and variances

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Abstract

Over-adjustment to processes may result in shifts in process mean and variance, ultimately affecting the quality of products. An economic adjustment model is developed for the joint design of X̄-S2 control charts and ē-Se2 cause-selecting control charts to control both means and variances of two dependent process steps using the Markov chain approach. The objective is to determine the optimal control policy of the proposed control charts, which effectively detect and distinguish the shifts of means and variances on the dependent process steps and minimize the total quality control cost. Application of the proposed control charts is illustrated through a numerical example.

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References

  1. Deming WE (1982) Quality, productivity and competition Position. MIT Press, New York

  2. Duncan AJ (1956) The economic design of \(\bar{X}\)charts used to maintain current control of a process. J Am Stat Assoc 51:228–242

    Article  MATH  Google Scholar 

  3. Montgomery DC (1980) The economic design of control charts: a review and literature survey. J Qual Technol 12:75–78

    Google Scholar 

  4. Vance LC (1983) A bibliography of statistical quality control chart techniques, 1970-1980. J Qual Technol 15:59–62

    Google Scholar 

  5. Saniga E (1979) Statistical control-chart designs with application to \(\bar{X}\)and R charts. Manage Sci 31:313–320

    Google Scholar 

  6. Woodall WH (1986) Weakness of the economic design of control charts. Technometrics 28:408–409

    Article  Google Scholar 

  7. Collani EV, Saniga E, Weigand A (1994) Economic adjustment designs for \(\bar{X}\)control charts. IIE Trans 26:37–43

    Google Scholar 

  8. Yang S, Rahim A (2000) Economic statistical design for \(\bar{X}\)and S2 control charts: a Markov chain approach. Commun Stat: Simul Comput 29:845–874

  9. Yang S, Yang C (2004) Economic statistical process control for overadjusted process means. Int J Qual Reliabil Manage 21:412–424

    Article  Google Scholar 

  10. Zhang G (1984) A new type of control charts and a theory of diagnosis with control charts. World Qual Congress Trans, Am Soc Qual Control, Milwaukee, WI pp 75–85

  11. Wade R, Woodall W (1993) A review and analysis of cause-selecting control charts. J Qual Technol 25:161–169

    Google Scholar 

  12. Yang S (2005) Dependent processes control for over-adjusted process means. Int J Adv Manuf Technol 26:109–116

    Article  Google Scholar 

  13. Yang S, Yang C (2004) Optimal management strategy for two dependent process steps with over-adjusted means. Technical report, Taiwan

  14. Lorenzen T, Vance L (1986) The economic design of control charts: a unified approach. Technometrics 28:3–10

    Article  MATH  MathSciNet  Google Scholar 

  15. Ross SM (1993) Introduction to probability models. Academic, New York

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Correspondence to Chung-Ming Yang.

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Yang, CM., Yang, SF. Optimal control policy for dependent process steps with over-adjusted means and variances. Int J Adv Manuf Technol 29, 758–765 (2006). https://doi.org/10.1007/s00170-005-2574-4

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  • DOI: https://doi.org/10.1007/s00170-005-2574-4

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