控制卡累计金额的特点、机遇及应用。第2部分。评估工艺过程无序性的数值方法

E. Volodarsky, L. Kosheva, I. Pototsky
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摘要

文章继续考虑使用累积和图将技术过程保持在统计控制状态的可能性。考虑了一种基于计算算法的利用决策区间方案估计过程统计可控性的数值方法。累积和图可以提供失控的过程检测,与常规休哈特图不同,它可以快速准确地确定过程变化区域,以及何时需要采取纠正措施。与使用V型掩模的图形方法不同,当需要操作员的强制存在来监测过程的状态时,使用决策区间方案的数值估计方法可以是自动化的,并且在没有操作员参与的情况下提供适当的信号。所考虑的方法揭示了一个时间点,即过程的变化不能仅仅由随机原因的影响引起,即存在显著的系统性影响、过程的混乱和调整的初级水平的转变。使用相同的V型口罩可以解决相反的问题:当确定技术过程的混乱时刻以确定这一事件发生的时间时。在构建V型掩模时,其“打开角度”与工艺的最大允许位移直接相关,并且根据工艺过程的质量要求,有必要拥有此类V型掩膜的集合(组)。应用数值方法时,不会出现此问题。本文从理论上和数值上证明了图解法和数值法的等价性,鉴于后者的某些毋庸置疑的优点,证明了其应用前景。
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Features, Opportunities and Application of Control Cards Accumulated Sum. Part 2. Numerical Method for Assessing the Disorder of a Technological Process
The article continues to consider the possibility of maintaining the technological process in a statistical control state with the use of cumulative sum charts. A numerical method for estimating the statistical controllability of a process using a scheme of decision intervals based on a computational algorithm is considered. Cumulative sum charts can provide an out-of-control process detection and, unlike a regular Shewhart charts, allow determine quickly and accurately the process change area, as well as when corrective action is required. Unlike the graphical method using the V-mask, when the mandatory presence of an operator is required to monitor the state of the process, the numerical estimation method using the decision interval scheme can be automated and provide appropriate signals without operator involvement. The method under consideration reveals a point in time when a change in process cannot be caused solely by the influence of random causes, that is, there is a significant systematic influence, a disorder of the process and a shift in the primary level of adjustment. The use of the same V-mask allows to solve the opposite problem: when fixing the moment of disorder of the technological process to determine what time this event took place. When constructing a V-mask, its «opening angle» is directly related to the maximum permissible displacement of the process and, based on the requirements for the quality of the technological pro­cess, it is necessary to have an aggregate (set) of such V-masks. When applying the numerical method, this problem does not occur. The article shows the equivalence of graphical and numerical methods theoretically and numerically, which, given the certain undoubted advantages of the latter, proves the prospect of its application.
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