面向柔性自动化的成组统计质量控制技术 |
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(6)
至此,以 和 分别为均值和方差统计控制变量,就可得到标准化的均值-方差控制图了。
4.2 控制界限 标准化的均值方差控制图的控制中心为0,上下控制界限L为无量纲的量,根据给定的置信度水平 得到对应的p分位数 ,在根据对应的p分位数由式(7)求得[7]。假如采用 原则,其上下控制界限就是+3和-3。
(7)
在研究过程中本文作者根据给出的工序成组的均值-方差控制图的数学模型,利用Visual C++语言在个人计算机上实现所有算法,利用所实现的软件对不同参数的正态母体的研究,证明本算法具有良好的稳定性和精确性。
5. 结论 本文首次将成组思想引入统计质量控制,提出了成组统计质量控制方法,解决了在柔性自动化生产环境下实施统计质量控制的主要障碍-被统计质量数据不足的问题。本文还研究了成组统计质量控制方法存在的制造技术基础和基本的数学基础。给出了工序质量数据成组的均值-方差质量控制图的数学模型。并利用计算机实现了所有算法,验证了本研究的正确性。
参考文献 1 A.S.Sohal. Implementing Statistical Process Control:Two Case Histories. Quality Assurance. 1988, 6:pp64-68
2 Gerald B. Heyes. Do We Need New Machines? A p-Chart And Regression Study. Quality Engineering . 1989, 1:pp13-18
3 William Winchell, Lisa A. Millis. Factors Facilitating Statistical Process Control for Small Batch Sizes. Quality Engineering. 1990,2:pp331-352
4 Sidney S. Lewis. Process Capability Estimates from Small Samples. Quality Engineering 1991, 3:pp381-394
5 Chern Hsoon Ng, Kenneth E.Case. Development and Evaluation of Control Charts Using Exponentially Weighted Moving Averages. Journal of Quality Technology. 1989, Vol.21(4):pp242-250
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6 Steven A. Yourstone, Douglas C. Montgomery. A Time-Series Approach to Discrete Real-time Process Quality Control. Quality and Reliability
7 徐 翀. 面向柔性自动化生产环境的成组统计质量控制技术研究. 哈尔滨工业大学博士学位论文. 1999:pp5
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Flexible Automation Oriented Group Statistical Quality Control Xu Chong, Ma Yulin, Yuan Zejun (HarBin Institute of technology advance manufacture center Harbin 150001)
Abstract: Insufficient quality data is the main characteristic of implementing the statistical quality control in flexible automation environment, aimed at this characteristic this paper introduce the group technology to statistical quality control for enhance the apriority of quality data and bring forward the group statistical quality control technology. The manufacturing base of GSQC was studied. Then the no-variance of p-fractile method was proposed, based on this math model of GSQC was studied. Based on the basic math method the process grouped mean-variant control chart was studed.
key words:Statistical Quality Control, Flexible Automation,Group Technolog上一页
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