基于费用函数的控制图的优化设计

Optimal Design of Control Charts Based on Cost Function

在建立了可变样本容量和抽样区间的中位值-极差联合控制图的基础上,提出了利用费用函数来最优化设计参数的方法.为了说明模型的有效性,通过一个实例与固定参数下对应的平均报警时间和单位时间费用做了比较.数据结果显示,根据可变抽样区间和样本容量的X槇-R联合控制图导出的经济模型能节约生产成本.

Based on the establishment of a control chart of combining median-range in variable sample size and sampling interval,this paper proposes a method using the cost function to optimize the design parameters. To illustrate the validity of the model,a case is compared with the average alarming time and cost per unit of time under fixed parameters. The result of data shows that the model studied in the paper can save production cost.