Economic design of the upper-sided synthetic chart with measurement errors
针对带测量误差的过程，提出上侧合成图的经济模型，通过马尔可夫链计算稳态平均运行长度并优化测量次数，以最小化总成本。
Considering a quadratic Taguchi loss function for poor quality products, as well as measurement errors in the process characteristic, this paper proposes an economic model for the upper-sided synthetic chart allowing multiple measurements for each sample item. The steady-state ARL of this chart is computed using a Markov chain method and the optimal number of measurements are obtained through the minimisation of the total cost model. For the proposed economic and economic statistical model, numerical examples are presented to evaluate the effect of measurement errors on the upper-sided synthetic chart. Finally, the sensitivity analyses of the optimal chart parameters and the cost of the upper-sided synthetic chart are also investigated using different input parameter values. All the above results are verified through a wide range of the input parameter values. Two illustrative examples are also provided.