두 개의 이상원인을 고려한 VSSI X 관리도의 경제적－통계적 설계

초록

This research investigates economic-statistical characteristics of variable sampling size and interval (VSSI) 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 charts. Computational experiments show that the VSSI chart is superior to the Shewhart 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.

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