Optimization of checking interval and adjustment limit for random-walking process including effects of adjustment uncertainty and time lag
Taguchi's online quality control aims at the optimization of the checking interval and adjustment limit of a process from the economic point of view. (The checking interval corresponds to the calibration interval for the control of a measuring device.) The present study provides a mathematical formalism and an efficient computation method to take adjustment uncertainty and time lag into consideration in the optimization of a random-walking property. In cases where either the checking cost or the adjustment cost is free, the approximate analytical solution is given. Qualitatively, a larger uncertainty of adjustment derives a shorter optimized checking interval and a larger adjustment limit. On the other hand, a larger time lag derives a smaller checking interval and adjustment limit. Information of approximate equations and a data set (CSV) useful for efficient computation is provided.
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