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

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

Research output: Contribution to journalArticle

12 Citations (Scopus)

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

Fingerprint

Economic Design
Control Charts
Sampling
Economics
Costs
Cost Model
Signal Control
Rejection
Control charts
Sample Size
Numerical Examples
Interval

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

Cite this

Use of curtailed sampling plans in the economic design of np-control charts. / Williams, William W.; Looney, Stephen Warwick; Peters, Michael H.

In: Technometrics, Vol. 27, No. 1, 01.01.1985, p. 57-63.

Research output: Contribution to journalArticle

Williams, William W. ; Looney, Stephen Warwick ; Peters, Michael H. / Use of curtailed sampling plans in the economic design of np-control charts. In: Technometrics. 1985 ; Vol. 27, No. 1. pp. 57-63.
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