Journal of Korean Institute of Industrial Engineers (대한산업공학회지)

Korean Institute of Industrial Engineers (대한산업공학회)
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Economic-Statistical Design of Adaptive Moving Average (A-MA) Control Charts

적응형 이동평균(A-MA) 관리도의 경제적-통계적 설계

  • Lim, Tae-Jin (Department of Industrial and Information Systems Engineering, Soongsil University)
  • 임태진 (숭실대학교 산업.정보시스템공학과)
  • Received : 2007.12.10
  • Accepted : 2008.04.01
  • Published : 2008.09.30
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Abstract

This research proposes a method for economic-statistical design of adaptive moving average (A-MA) charts. The basic idea of the A-MA chart is to accumulate previous samples selectively in order to increase the sensitivity. The A-MA chart is a kind of adaptive chart such as the variable sampling size (VSS) chart. A major advantage of the A-MA chart over the VSS chart is that it is easy to maintain rational subgroups by using the fixed sampling size. A steady state cost rate function is constructed based on Lorenzen and Vance (1986) model. The cost rate function is optimized with respect to five design parameters. Computational experiments show that the A-MA chart is superior to the VSS chart as well as to the Shewhart $\bar{X}$ chart in the economic-statistical sense.

Keywords

Acknowledgement

Supported by : 숭실대학교

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