Implementing statistically constrained economic EWMA control charts

James C C Torng, Jeffery K. Cochran, Douglas Montgomery, Frederick P. Lawrence

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

A computer program is presented for the statistically constrained economic design of exponentially weighted moving average control charts for controlling process means. The program finds the optimal sample size, control limit width, sampling interval, and weighting factor by minimizing a total cost function proposed by Lorenzen and Vance subject to additional statistical constraints on average run length (ARL) or average time-to-signal (ATS). The ARL values are determined by solving systems of linear algebraic equations using Gaussian quadrature, following the integration-equation approach outlined by Crowder.

Original languageEnglish (US)
Pages (from-to)257-264
Number of pages8
JournalJournal of Quality Technology
Volume27
Issue number3
StatePublished - Jul 1995
Externally publishedYes

Fingerprint

EWMA Chart
Average Run Length
Control Charts
Linear equations
Cost functions
Computer program listings
Average Time to Signal
Exponentially Weighted Moving Average Control Chart
Economics
Economic Design
Sampling
Gaussian Quadrature
Process Mean
Algebraic Equation
Weighting
Cost Function
Linear equation
Sample Size
Interval
Control charts

ASJC Scopus subject areas

  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Statistics and Probability

Cite this

Torng, J. C. C., Cochran, J. K., Montgomery, D., & Lawrence, F. P. (1995). Implementing statistically constrained economic EWMA control charts. Journal of Quality Technology, 27(3), 257-264.

Implementing statistically constrained economic EWMA control charts. / Torng, James C C; Cochran, Jeffery K.; Montgomery, Douglas; Lawrence, Frederick P.

In: Journal of Quality Technology, Vol. 27, No. 3, 07.1995, p. 257-264.

Research output: Contribution to journalArticle

Torng, JCC, Cochran, JK, Montgomery, D & Lawrence, FP 1995, 'Implementing statistically constrained economic EWMA control charts', Journal of Quality Technology, vol. 27, no. 3, pp. 257-264.
Torng, James C C ; Cochran, Jeffery K. ; Montgomery, Douglas ; Lawrence, Frederick P. / Implementing statistically constrained economic EWMA control charts. In: Journal of Quality Technology. 1995 ; Vol. 27, No. 3. pp. 257-264.
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