Economic design of EWMA control charts based on loss function
Author(s)
Date
2009Source Title
Mathematical and Computer Modelling
Print ISSN
0895-7177
Publisher
Elsevier
Volume
49
Issue
3-4
Pages
745 - 759
Language
English
Type
ArticleItem Usage Stats
189
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views
130
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downloads
Abstract
For monitoring the stability of a process, various control charts based on exponentially weighted moving average (EWMA) statistics have been proposed in the literature. We study the economic design of EWMA-based mean and dispersion charts when a linear, quadratic, or exponential loss function is used for computing the costs arising from poor quality. The chart parameters (sample size, sampling interval, control limits and smoothing constant) minimizing the overall cost of the control scheme are determined via computational methods. Using numerical examples, we compare the performances of the EWMA charts with Shewhart over(X, -) and S charts, and investigate the sensitivity of the chart parameters to changes in process parameters and loss functions. Numerical results imply that rather than sample size or control limits, the users need to adjust the sampling interval in response to changes in the cost of poor quality.
Keywords
Average run lengthEconomic design
EWMA control chart
Markov chain
Statistical process control
Design
Digital signal processing
Flowcharting
Functions
Graphic methods
Markov processes
Probability density function
Process control
Process engineering
Quality control
Surface treatment
Average run length
Control charts
Control limits
Control schemes
Economic design
Ewma charts
EWMA control chart
Exponential loss functions
Exponentially weighted moving averages
In processes
Loss functions
Markov chain
Numerical examples
Numerical results
Overall costs
Sample sizes
Sampling intervals
Shewhart
Smoothing constants
Statistical process control
Permalink
http://hdl.handle.net/11693/22843Published Version (Please cite this version)
http://dx.doi.org/10.1016/j.mcm.2008.06.012Collections
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