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Average Run Length Performance of Shewhart Control Charts with Interpretation Rules
2006 IEEE International Conference on Industrial Informatics, 2006The most popular tool used in the industry for monitoring the process mean is the Shewhart control chart. The major disadvantage of the Shewhart control chart is that it is not very efficient in detecting the small changes in the process mean. In order to make the Shewhart chart more efficient to detect the small changes in the process mean additional ...
Abdul Jamali, Li JinLin, Muhammad Durad
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Average Run Length performance of CuSum Control Chart using Neural Network
2006 IEEE International Multitopic Conference, 2006In a manufacturing or industrial process, reducing the variability of a systems and products is essential to increase yield and quality of the products. Statistical process control is a power collection of problem-solving tools useful to increase yield and quality of products through the reduction of variability.
Abdul Sattar Jamali +3 more
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Wald's approximations to the average run length in cusum procedures
Journal of Statistical Planning and Inference, 1978Abstract Wald's approximation to the ARL(average run length in cusum) (cumulative sum) procedures are given for an exponential family of densities. From these approximations it is shown that Page's (1954) cusum procedure is (in a sense) identical with a cusum procedure defined in terms of likelihood ratios. Moreover, these approximations are improved
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Average Run Length and the OC Curve of Sampling Plans
Quality Engineering, 2005ABSTRACT This paper amplifies the distinction between Type A and Type B sampling plans for individual lots and processes, respectively. It introduces the f-binomial distribution as a Poisson type finite analog to the hypergeometric distribution for use in constructing appropriate Type A OC curves for defects.
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Journal of Quality Technology, 1990
A FORTRAN computer program is given for the computation of average run lengths (ARLs) for exponentially weighted moving average (EWMA) and combined Shewhart-EWMA control schemes. The program calculates zero-state and steady-state ARLs using the Markov c..
Michael S. Saccucci, James M. Lucas
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A FORTRAN computer program is given for the computation of average run lengths (ARLs) for exponentially weighted moving average (EWMA) and combined Shewhart-EWMA control schemes. The program calculates zero-state and steady-state ARLs using the Markov c..
Michael S. Saccucci, James M. Lucas
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Communications in Statistics - Simulation and Computation, 2000
The effects of estimation of the control limits on the performance of the popular Shewhart X-bar chart are examined via the average run length and the probability of a false alarm, when one or both of the process mean and variance are unknown. Exact expressions for the run length, the average run length (ARL) and the false alarm rate are obtained, in ...
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The effects of estimation of the control limits on the performance of the popular Shewhart X-bar chart are examined via the average run length and the probability of a false alarm, when one or both of the process mean and variance are unknown. Exact expressions for the run length, the average run length (ARL) and the false alarm rate are obtained, in ...
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Designing S-Charts with Two Average Run Length Constraints
Journal of Quality Technology, 1999A BASIC program is given for determining the required sample size and the upper control limit for an S-chart with two average run length (ARL) constraints.
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Approximations to the Average Run Length in Cumulative Sum Control Charts
Technometrics, 1975An approximation to the average run length for cumulative sum control charts is derived using the analogy between this procedure and the sequential probability ratio test for normal observations. This approximation is also derived by using a Brownian motion approximation to the cumulative sum.
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Is Average Run Length to False Alarm Always an Informative Criterion?
Sequential Analysis, 2008Apart from Bayesian approaches, the average run length (ARL) to false alarm has always been seen as the natural performance criterion for quantifying the propensity of a detection scheme to make false alarms, and no researchers seem to have questioned this on grounds that it does not always apply.
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The Journal of King Mongkut's University of Technology North Bangkok, 2022
Sunisa Wiwek +2 more
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Sunisa Wiwek +2 more
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