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带警戒限的合格品链长控制图
引用本文:解顺强,张文蛟,张兰霞,郭雅彩,李霞,陈晓静.带警戒限的合格品链长控制图[J].大学数学,2007,23(4):172-175.
作者姓名:解顺强  张文蛟  张兰霞  郭雅彩  李霞  陈晓静
作者单位:1. 北京工业大学,机电学院,北京,100022;河北科技师范学院,数理系,河北,秦皇岛,066004
2. 秦皇岛市第十一中学,数学教研组,河北,秦皇岛,066000
3. 河北科技师范学院,数理系,河北,秦皇岛,066004
摘    要:研究了两种带警戒限的合格品链长控制图,一种是一个链长控制图,另一种是两个链长控制图.首先,给出了这两种控制图的制定方法;其次,利用概率流图方法得到了这两种控制图的平均链长(ARL)的计算公式;最后,推导了它们效率的度量指标ANI(发信号之前的平均检验的样品数)的计算公式.

关 键 词:合格品链长  控制图  平均链长  发信号前的平均样品数
文章编号:1672-1454(2007)04-0172-04
修稿时间:2005-10-13

Conforming Run Length Control Chart with Warning Limits
XIE Shun-qiang,ZHANG Wen-jiao,ZHANG Lan-xia,GUO Ya-cai,LI Xia,CHEN Xiao-jing.Conforming Run Length Control Chart with Warning Limits[J].College Mathematics,2007,23(4):172-175.
Authors:XIE Shun-qiang  ZHANG Wen-jiao  ZHANG Lan-xia  GUO Ya-cai  LI Xia  CHEN Xiao-jing
Institution:1. College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology,Beijing 100022, China; 2. Department of Mathematics and Physics, Hebei Normal University of Science and Technology, Qinhuangdao 066604, China; 3. Qinhuangdao No. 11 High School, Qinhuangdao 066600, China
Abstract:This paper presents two type conforming run length control charts with warning limits based on using the number of conforming items between successive nonconforming items.One is CRL1 chart,another is CRL2 chart.First,the control charts were formulated;Second,the formula for the ARL of CRL control chart were deduced by using TPFG(Transition Probability Flow Graphs) method;Finally,the formula for ANI of CRL control chart were introduced.
Keywords:conforming run length  control chart  average number inspected to signal  ARL(Average Run Length)  TPFG(Transition Probability Flow Graphs)
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