Journal of Korean Institute of Industrial Engineers (대한산업공학회지)

Korean Institute of Industrial Engineers (대한산업공학회)
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Economic-Statistical Design of VSSI$\bar{X}$ Control Charts Considering Two Assignable Causes

두 개의 이상원인을 고려한 VSSI$\bar{X}$ 관리도의 경제적-통계적 설계

  • Lee, Ho-Joong (Department Industrial & Information Systems Engineering, Soongsil University) ;
  • Lim, Tae-Jin (Department Industrial & Information Systems Engineering, Soongsil University)
  • 이호중 (숭실대학교 산업.정보시스템공학과) ;
  • 임태진 (숭실대학교 산업.정보시스템공학과)
  • Published : 2005.03.30
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Abstract

This research investigates economic-statistical characteristics of variable sampling size and interval (VSSI)$\bar{X}$charts under two assignable causes. A Markov chain approach is employed in order to calculate average run length (ARL) and average time to signal (ATS). Six transient states are derived by carefully defining the state. A steady state cost rate function is constructed based on Lorenzen and Vance(1986) model. The cost rate function is optimized with respect to six design parameters for designing the VSSI $\bar{X}$ charts. Computational experiments show that the VSSI $\bar{X}$ chart is superior to the Shewhart $\bar{X}$ chart in the economic-statistical sense, even under two assignable causes. A comparative study shows that the cost rate may increase up to almost 30% by overlooking the second cause. Critical input parameters are also derived from a sensitivity study and a few guideline graphs are provided for determining the design parameters.

Keywords

Acknowledgement

Supported by : 숭실대학교

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