Economic design of x̄-control charts for continuous flow process with multiple assignable causes

Yit Ming Yang, Chia Yi Su*, W.l. Pearn

*Corresponding author for this work

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

Extending Koo and Case's model (1990) for the case of a single assignable cause to allow for the second occurrence of an assignable cause following the first occurrence and the probability of the assignable causes following exponential distribution, the process-failure mechanism having a fixed hazard rate. We present a cost model and determine the optimal values of the design parameters, the sample size, the sampling intervals and control limit coefficient by minimizing the expected cost per unit time with respect to exponential parameters change. Finally, suggesting the performance of the loss-cost and sensitivity analyses of the design parameters and loss-cost which depend on the model parameters and shift amounts closely are also presented.

Original languageEnglish
Pages (from-to)110-117
Number of pages8
JournalInternational Journal of Production Economics
Volume128
Issue number1
DOIs
StatePublished - 1 Nov 2010

Keywords

  • Economic design
  • Exponential shock model
  • Multiple assignable causes

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