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Computing Average Run Lengths of Exponential EWMA Charts

Journal of Quality Technology, 2000
An exponential EWMA chart is useful for monitoring the mean β of interarrival times of nonconforming items in many manufacturing processes.
Gan, F.F., Chang, T.C.
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Average run length comparison of multivariate control charts

Journal of Statistical Computation and Simulation, 2001
In this paper we use Monte Carlo Simulation methodology to compare the effectiveness of five multivariate quality control methods, namely Hotelling T 2, Multivariate Shewhart Char, Discriminant Analysis, Decomposition Method, and Multivariate Ridge Residual Chart-developed by Authors-, for controlling the mean vector in a multivariate process.
Amir Javaheri, Ali A. Houshmand
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Computing Average Run Lengths for Exponential CUSUM Schemes

Journal of Quality Technology, 1994
Exponentially distributed observations arise naturally in the context of monitoring the rate of occurrences of events like nonconforming items.
F. F. Gan, K. P. Choi
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On Average Run Lengths of Control Charts for Autocorrelated Processes

Methodology and Computing in Applied Probability, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, Yung-Ming, Wu, Tung-Lung
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On Distribution and Average Run Length of a Two-Stage Control Process

Methodology and Computing in Applied Probability, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hsing-Ming Chang, James C. Fu
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AVERAGE RUN LENGTHS FOR MOVING AVERAGE CONTROL CHARTS

Probability in the Engineering and Informational Sciences, 1999
We are interested in E [N], the mean time until the most recent k values of a sequence of independent and identically distributed random variables exceeds a specified constant. Using recent results, we present a simulation procedure for determining E [N]. These results are also used to obtain upper and lower bounds for E [N]. These bounds, however,
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Average Run Length Computations for the Three-Way Chart

Communications in Statistics - Simulation and Computation, 2004
An integral equation for the average run length of the Three-Way control chart is analytically derived, and a numerical method for solving it is presented. Useful tables of the results of run length computations are provided for shifts in the process mean and standard deviation.
Maria E. Calzada, Stephen M. Scariano
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Average Run Lengths of Exponentially Weighted Moving Average Control Charts

Journal of Quality Technology, 1987
A computer program is presented that calculates the average run length of exponentially weighted moving average charts for controlling the mean of a normal process...
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The computation of average run length and average time to signal: an overview

Journal of Statistical Computation and Simulation, 2013
Control charts are widely used in industries to monitor a process for quality improvement. Evaluation of the average run length (ARL) or average time to signal (ATS) plays an important role in the design of control charts and performance comparison. In this paper, we review several basic and popular procedures, including the Markov chain and integral ...
Zhonghua Li   +3 more
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Average Run Lengths in Cumulative Chart Quality Control Schemes

Technometrics, 1961
Average run-lengths are evaluated for V-mask quality control schemes based on cumulative deviation charts when the observations are Normally distributed and either independent or members of a certain serially correlated class.
P. L. Goldsmith, H. Whitfield
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