Journal ArticleDOI
Economic Design of EWMA Charts with Variable Sampling Intervals
TLDR
In this paper, the authors developed the economic design of the variable sampling intervals (VSI) exponentially weighted moving average (EWMA) charts to determine the values of the six test parameters of the charts (i.e., the sample size, the long sampling interval, the short sampling interval and the warning limit coefficient, the control limit coefficient and exponential weight constant) such that the expected total cost is minimized.Abstract:
Control charting is a graphical expression and operation of statistical hypothesis testing. In the present paper, we develop the economic design of the variable sampling intervals (VSI) exponentially weighted moving average (EWMA) charts to determine the values of the six test parameters of the charts (i.e., the sample size, the long sampling interval, the short sampling interval, the warning limit coefficient, the control limit coefficient, and exponential weight constant) such that the expected total cost is minimized. The genetic algorithm (GA) is applied to search for the optimal values of the six test parameters of the VSI EWMA chart, and an example is provided to illustrate the solution procedure. A sensitivity analysis is then carried out to investigate the effects of model parameters on the solution of the economic design.read more
Citations
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Journal ArticleDOI
Bridging data-driven and model-based approaches for process fault diagnosis and health monitoring: A review of researches and future challenges
TL;DR: The features of different model-based and data-driven FD-HM approaches are investigated separately as well as the existing works that attempted to integrate both of them are investigated.
Journal ArticleDOI
Economic design of autoregressive moving average control chart using genetic algorithms
TL;DR: The economic design of ARMA control chart is developed to determine the optimal values of the test and chart parameters of the chart such that the expected total cost per hour is minimized and the genetic algorithm is applied to obtain the optimal solution of the economic design.
Journal ArticleDOI
Economic design of multivariate Bayesian control chart with two sampling intervals
Farnoosh Naderkhani,Viliam Makis +1 more
TL;DR: The objective is to find the optimal control chart parameters, namely the sample size, sampling intervals and the control limits, minimizing the total long-run expected average cost per unit time.
Journal ArticleDOI
Economic Design of Exponentially Weighted Moving Average Control Chart Based on Measurement Error Using Genetic Algorithm
TL;DR: The cost function of exponentially weighted moving average control chart is modeled, and sensitivity analysis of parameters indicates that when the slope of covariate function increases, the role of taking multiple measurement decreases, and in the case of measurement error, the optimum values of the parameters are significantly affected.
Journal ArticleDOI
A particle swarm optimization approach on economic and economic-statistical designs of MEWMA control charts
TL;DR: In this article, a particle swarm optimization (PSO) approach was used to solve the economic and the economic-statistical design problems of MEWMA control charts, and the results showed that the proposed PSO leads to better performances.
References
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Book
Adaptation in natural and artificial systems
TL;DR: Names of founding work in the area of Adaptation and modiication, which aims to mimic biological optimization, and some (Non-GA) branches of AI.
Journal ArticleDOI
Control chart tests based on geometric moving averages
TL;DR: In this article, a graphical procedure for generating geometric moving averages is described in which the most recent observation is assigned a weight r, and all previous observations weights decreasing in geometric progression from the most recently back to the first.
Journal ArticleDOI
The Economic Design of X Charts Used to Maintain Current Control of a Process
TL;DR: A criterion that measures approximately the average net income of a process under surveillance of an X chart when the process is subject to random shifts in the process mean is established.
Journal ArticleDOI
The Economic Design of Control Charts: A Unified Approach
TL;DR: In this article, the choice of control chart parameters (sample size, sampling interval, and control limits) is considered from an economic point of view, and a general process model is considered, and the hourly cost function is derived.
Journal ArticleDOI
A Comparison of Some Control Chart Procedures
TL;DR: In this article, the authors unify and extend previously published characterizations of moving average, geometric moving average and cumulative sum control chart procedures, and present comparable characterisations of two procedures based on tests described but not evaluated in earlier papers.