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联合移动总和与极差控制图的平均链长 被引量:2

The Average Run Length in the Charts of Combined Moving Sum and Moving Range
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摘要 Crowder在1987年给出了联合单值与两个接连值移动极差控制图的平均链长的计算方法。[1]本文按照类似的方法,建立了两个接连观测值的移动总和与移动极差图的平均链长的公式,对不同的过程平均值和标准差计算其平均链长,并将所得链长同单位和移动极差图的平均链长作比较,结果表明,S-R图的效率或灵敏度大于X-R图。 With computation of the average run length (ARL) achieved by Crowder in 1987, from the charts of combining individual measurement and moving range, establishes a computational formula of ARL in the charts of combined moving sum and moving range,calculates out it's ARL for different process and standard deviation, and compares these with ARL in the charts of the individual measurement and moving range.
出处 《浙江丝绸工学院学报》 1997年第4期324-327,共4页
关键词 移动总和 移动极差控制图 平均链 质量控制 Moving sum Moving range Control charts Average run lengths
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  • 1解顺强,张兰霞,秦丽,李丽华,王国胜,李艳坡,任登新.基于马尔可夫链理论的带警戒限的单侧均值控制图的平均链长[J].河北科技师范学院学报,2006,20(3):33-36. 被引量:3
  • 2S. V Crowder, Computation of ARL for combined individual measurement and moving range charts. Journal of quality Technology, 1987, 19 (2).
  • 3Champ, C. W. and S. E. Rigdon. A comparison of the Markov chain and the integral equation approaches for evalua- ting the run length distribution of quality control charts [J]. Communications in Satistics: Simulation and Computation, 1992, 20, (1): 191-204.
  • 4Schmid, W. On the run length of a Shewhart chart for correla- ted data [-J. Statistical Papers, 1995, (36): 111-130.
  • 5Schmid, W. and A. Sehone. Some properties of the EWMA control chart in the presence of autocorrelation [-J. Annals of Statistics, 1997, 25, (3): 1277-1283.
  • 6E. Cinlar, Introduction to stochastic process (prentice Hall, Englewood Cliffs, NJ, 1975).
  • 7SIM, S. B. and KANG, C. W. , On Variable sample size X Chart for Processes with Double Assignable Causes, Interna tional Journal of Reliability Quality and Safety Engineering, Vol. 11, No. 1 (2004) 47-58.
  • 8Crowder S V.Computation of ARL for combined individual measurement and moving range charts[J].Journal of quality Technology,1987,19(2):103-106.
  • 9Champ C W,Rigdon S E.A comparison of the Markov chain and the integral equation approaches for evaluating the run length distribution of quality control charts[J].Communications in Satistics:Simulation and Computation,1992,20(1):191-204.
  • 10Schmid W.On the run length of a Shewhart chart for correlated data[J].Statistical Papers,1995,(36):111-130.

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