| 计量累积和控制图方案设计的选择 |
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| 引用本文： | 王淑君(),卿文光(). 计量累积和控制图方案设计的选择[J]. 系统科学与数学, 1989, 9(4): 345-355 |
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| 作者姓名： | 王淑君() 卿文光() |
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| 作者单位： | 中国科学院系统科学研究所(王淑君)，中国科学院系统科学研究所(卿文光) |
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| 摘 要： | 常规控制图已广泛应用于生产,国家标准<计数型累积和图>GB4887-85的实施,使得判断生产“过程”异常具有更高的灵敏度,能更经济地保证产品质量,它是常规控制图的改进与发展.在常规控制图中,为了使控制图能对小偏差有较快的反映,一般用缩小控制界线,如将3σ限改为2σ限,但会导致第一类误判率大大升高.而累积和方法可以通过对方案参数的适当选择使控制图在第一类误判率并不明显升高的情况下对小偏差反映敏感.此外,累积和方法还允许针对各种需要设计出特别适于发现某个偏差,例如1.5σ_e 的
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THE SELECTION OF DESIGN SCHEMES FOR CUMULATIVE SUM CHARTS FOR CONTROLLING MEASURED VARIABLES |
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| WANG SHU-JUN,QING WEN-GUANG. THE SELECTION OF DESIGN SCHEMES FOR CUMULATIVE SUM CHARTS FOR CONTROLLING MEASURED VARIABLES[J]. Journal of Systems Science and Mathematical Sciences, 1989, 9(4): 345-355 |
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| Authors: | WANG SHU-JUN QING WEN-GUANG |
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| Affiliation: | (1)Institute of Systems Science,Academia Sinica;(2)Institute of Systems Science,Academia Sinica |
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| Abstract: | In this paper we introduce the cumulative sum chart for controlling measured variables.Itis defined by two parameters,the discrimination distance H and a reference value K wheneverthe farger value T has ben fixed.The reflection velocity of the cusum plan upon various devi-ations is expressed by the average run length.For practical selections,corresponding to devia-tions of the same amplitude the average run lengh is connected with parameters H and K by ta-bles and by curves.Examples for selecting figures of the scheme are presented under the Gaus-sian assumption. |
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