论文信息 - Improved Self-Starting Control Charts for Short Runs

Improved Self-Starting Control Charts for Short Runs

Abstract The traditional control charts are designed to minimize the out-of-control average run length (ARL), given a desired in-control ARL. When the out-of-control ARL is larger than the desired in-control ARL, the control chart is called biased. This paper investigates the bias of Shewhart Q charts proposed by Quesenberry [9] for detecting process mean shifts in start-up processes and short runs. Two improved schemes are proposed to alleviate the bias problem of the Shewhart Q charts.

[1] Charles P. Quesenberry,et al. The Effect of Sample Size on Estimated Limits for and X Control Charts , 1993 .

[2] Douglas C. Montgomery,et al. Short-run statistical process control: Q-chart enhancements and alternative methods , 1996 .

[3] D. Hawkins. Self‐Starting Cusum Charts for Location and Scale , 1987 .

[4] Gary S. Wasserman,et al. Short run spc based upon the second order dynamic linear model for trend detection , 1993 .

[5] Charles P. Quesenberry,et al. DPV Q charts for start-up processes and short or long runs , 1991 .

[6] William H. Woodall,et al. Controversies and Contradictions in Statistical Process Control , 2000 .

[7] Enrique del Castillo,et al. SPC Methods for Quality Improvement , 1999, Technometrics.

[8] Paul F. Zantek. Run-length distributions of Q-chart schemes , 2005 .

[9] William H. Woodall,et al. A Control Chart for Preliminary Analysis of Individual Observations , 1996 .

[10] H. Levy. Stochastic Dominance: Investment Decision Making under Uncertainty , 2010 .

[11] P. R. Nelson. Continuous Univariate Distributions Volume 2 , 1996 .

[12] Stephen E. Fienberg,et al. Testing Statistical Hypotheses , 2005 .

[13] Joe H. Sullivan,et al. A Self-Starting Control Chart for Multivariate Individual Observations , 2002, Technometrics.

[14] C. Quesenberry. On Properties of Q Charts for Variables , 1995 .