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Showing 1 to 8 of 8 for “"run length distribution"”.
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Analysis and Design of One- and Two-Sided Cusum Charts with Known and Estimated Parameters
… methods provide us with ways to approximate the run length distribution of the chart. Since parameters of the run length distribution are commonly used measures of the performance of a control chart, it is important to choose an accurate approximation method. We develop some new Markov chain …
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Nonparametric procedures for process control when the control value is not specified
… chart). In designing a control chart, the exact distribution of the observations, e.g. normal distribution, is usually assumed to be known. But, when there is not sufficient information in determining the distribution, nonparametric procedures are appropriate. In such cases, the control value for …
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Analysis of the Family of Generalized Cumulative Sum Type Control Charts
… to monitor for a change in the parameters of the distribution of a quality measurement. In this project, the family of generalized cumulative sum type charts was studied. An equivalent chart version that requires fewer parameters was given. Some useful integral equations were derived for …
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Exponentially Weighted Moving Average Charts for Monitoring the Process Generalized Variance
… analysis of the chart's initial and steady-state run length distributions. The three methods that are commonly used to determinate run length distribution, simulation, the integral equation method, and the Markov chain approximation are discussed. The integral equation and Markov chain approaches …
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An optimization of on-line monitoring of simple linear and polynomial quality functions
… the average time to signal (ATS) and the average run length (ARL) are regarded as the objective functions, and ATS and ARL approximations, based on Markov Chain Principals, are extended and modified to capture the special structure of the profile monitoring. Furthermore,the performances of the …
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Control chart procedures based on cumulative gauging scores
… sign score vector is also proposed. The exact run length distribution of these cumulative gauging score charts can be obtained by formulating the procedures as Markov chain processes. For some procedures, the average run length (ARL) can be obtained in a closed form expression by solving a …
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CUSUM Generalized Variance Charts
<p>The commonly recommended charts for monitoring the mean vector are affected by a shit in the covariance matrix. As in the univariate case, a chart for monitoring for a change in the covariance matrix should be examined first before examining the chart used to monitor for a change in the mean …
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Dynamic Probability Control Limits for Risk-Adjusted Bernoulli Cumulative Sum Charts
… chart leads to quite variable in-control average run length (ARL) performance for patient populations with different risk score distributions. To overcome this problem, the simulation-based dynamic probability control limits (DPCLs) patient-by-patient for the risk-adjusted Bernoulli CUSUM charts …