Use of curtailed sampling plans in the economic design of np-control charts

William W. Williams, Stephen W. Looney, Michael H. Peters

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

An expected-cost model is developed for the np-control chart when curtailed sampling procedures are followed. The total expected cost consists of the cost of sampling, the cost of investigating and possibly correcting the process when an out-of-control signal is received, and the cost of producing defectives. A Hook–Jeeves search procedure is used to identify the minimum-cost sampling policy as a function of three design variables: Rejection number, maximum sample size, and intersample interval. Numerical examples are presented, and comparisons are made to corresponding complete sampling policies. These results indicate that curtailed sampling plans provide cost improvements over traditional complete sampling plans and are, therefore, to be recommended whenever it is appropriate to use them.

Original languageEnglish (US)
Pages (from-to)57-63
Number of pages7
JournalTechnometrics
Volume27
Issue number1
DOIs
StatePublished - Jan 1 1985
Externally publishedYes

Keywords

  • Average sample number
  • Binomial sampling
  • Cost function
  • Inverse binomial sampling
  • Markov process
  • Truncated sampling

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

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