Development of operational characteristics and diagnostic procedures for X̄ control charts

Gregory E. Rahn, S. G. Kapoor, R. E. DeVor

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Although control charts have had a tremendous impact on quality improvement, their inability to precisely measure performance has hindered their full potential of functional performance. Measures of performance are presented for traditional 'three-sigma' charts and for X̄ charts which incorporate four rules. 'Three-sigma' charts are evaluated for power at a single subgroup, as well as for cumulative power over m subgroups. Power of X̄ charts that employ four rules is formulated on the single-subgroup level using a rule dependency approach and is compared to the operational characteristics of 'three-sigma' charts. Applications of these models to simulated data demonstrate their accuracy of power prediction. In addition, a diagnostic methodology is described which utilizes the derived performance measures to predict the mean and variance of a shifted distribution.

Original languageEnglish (US)
Title of host publicationSensors, Controls, and Quality Issues in Manufacturing
PublisherPubl by ASME
Pages403-419
Number of pages17
ISBN (Print)0791808408
StatePublished - 1991
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Atlanta, GA, USA
Duration: Dec 1 1991Dec 6 1991

Publication series

NameAmerican Society of Mechanical Engineers, Production Engineering Division (Publication) PED
Volume55

Other

OtherWinter Annual Meeting of the American Society of Mechanical Engineers
CityAtlanta, GA, USA
Period12/1/9112/6/91

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering
  • Mechanical Engineering

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