报警准则改变时基于田口质量损失函数思想的均值控制图的经济设计

Economic Design of Mean Control Charts in Terms of Taguchi Quality Loss Function When Alarm Rules Change

近年来,改变控制图的报警准则对控制图进行研究是一个新的研究方法。这种控制图将一点报警改为多点报警,它在监测过程中出现的微小波动时具有一定的优势。将均值控制图的报警准则由常规的一点报警改为累计多点报警,并利用田口损失函数的思想,使系统发出警报前的产品的期望质量损失费用最小为目标,建立数学模型,求得均值控制图的最优经济设计。以累计两点报警给出算例,通过编写matlab程序研究不同参数变化对期望质量损失费用最小值的影响。

Recently, changing alarm rules of control charts to conduct research on the latter is a new research method. Altering one-spot alarm to multi-spot alarm is advantageous in inspec- ting minor fluctuations during the process. This paper builds up a maths model to obtain the most economical design of mean control chart by changing the alarm rules of the mean control charts from one-spot alarm to accumulative multi-spot alarm. The method adopts the idea of Taguchi quality loss function and aims at diminishing the expected quality loss to the least before alarms call. The paper takes two calculating cases as examples to study the influence of changing different parameters through composing matlab program.