대한산업공학회지 (Journal of Korean Institute of Industrial Engineers)

  • 제34권3호
  • /
  • Pages.328-336
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  • 2008
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  • 1225-0988(pISSN)
  • /
  • 2234-6457(eISSN)
대한산업공학회 (Korean Institute of Industrial Engineers)
권호 표지

적응형 이동평균(A-MA) 관리도의 경제적-통계적 설계

Economic-Statistical Design of Adaptive Moving Average (A-MA) Control Charts

  • 임태진 (숭실대학교 산업.정보시스템공학과)
  • Lim, Tae-Jin (Department of Industrial and Information Systems Engineering, Soongsil University)
  • 투고 : 2007.12.10
  • 심사 : 2008.04.01
  • 발행 : 2008.09.30
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초록

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.

키워드

과제정보

연구 과제 주관 기관 : 숭실대학교

참고문헌

  1. Costa, A. F. B. (1994), X Charts with (Fixed Sample Size and Sampling Interval)Variable Sample Size, Journal of Quality Technology, 26(3), 155-163 https://doi.org/10.1080/00224065.1994.11979523
  2. Duncan, A. J. (1956), The Economic Design of X Charts Used to Maintain Current Control of a Process, Journal of the American Statistical Association, 51, 228-242 https://doi.org/10.2307/2281343
  3. Lim, T. J. (2007), The ARL of a Selectively Moving Average Control Chart, Journal of the Korean Society for Quality Management, 35(1), 24-34
  4. Lorenzen, T. J. and Vance, L. C. (1986), The Economic Design of Control Charts : a Unified Approach, Technometrics, 28/3, 3-10 https://doi.org/10.2307/1269598
  5. Prabhu, S. S., Runger, G. C., and Keats, J. B. (1993)   Chart with Adaptive Sample Sizes, International Journal of Production Research, 31, 2895-290 https://doi.org/10.1080/00207549308956906
  6. Prabhu, S. S., Montgomery, D. C. and Runger, G. C. (1997), Economic- Statistical Design of an Adaptive X Chart, International Journal of Production Economics, 49(1), 1-15 https://doi.org/10.1016/S0925-5273(96)00100-4
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  8. Woodall, W. H. (1986), Weaknesses of the Economic Design of Control Charts, Technometrics, 28(4), 408-409 https://doi.org/10.2307/1269000