基于测量质量损失函数的控制图控制界限的优化  

The Optimization of Control Limits of Control Chart Based on Measurement Quality Loss Function

作　　者：张月义[1] 韩之俊[1] 宋明顺[2] 

机构地区：[1]南京理工大学,江苏南京210094 [2]中国计量学院,浙江杭州310018

出　　处：《数理统计与管理》2008年第4期629-634,共6页Journal of Applied Statistics and Management

基　　金：国家自然科学基金(50575215)

摘　　要：控制界限和抽样间隔是控制图的两个基本参数。常规控制图是基于3σ原理确定的控制界限,该控制界限是在大量试验基础上依据经验确定的,并没有精确的公式推导.对于抽样间隔,常规控制图也没有明确的规定。田口博士的质量损失函数可以很好的解决质量经济性方面的一些问题.利用田口博士的理论,通过确定适宜的二次测量质量损失函数,可以确定控制图的最佳控制界限和最佳抽样间隔.文章简要介绍了常规控制图原理和田口博士的质量损失函数,重点叙述了田口博士反馈控制系统的测量质量损失函数,在此基础上,研究了控制图最佳控制界限和最佳抽样间隔,并且通过具体实例验证了该控制图良好的经济性.Control limits and sampling interval are two essential parameters of control chart. The control limits of traditional control chart are based on 3 Sigma principle, these limits are determined according to experience on the basis of many tests, without accurate formula derivation. For sampling interval, traditional control chart has not the clearly regulations. Taguchi doctor＇s quality loss function can solve some quality economy problems perfectly. Using the theory of Taguchi doctor, we can determine the optimum control limits and sampling interval of control chart, by determining suitable quadratic measurement quality loss function. This paper briefly introduces traditional control chart principle and quality loss function of Taguchi doctor, mainly describes the Taguchi doctor＇s measurement quality loss function of feedback control system, on this basis, the optimum control limits and sampling interval of control chart was studied. A concrete experiment given here has proved the good economy of the control charts.

关 键 词：控制图 损失函数 控制界限 抽样间隔 

分 类 号：O212[理学—概率论与数理统计]