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A mixed control chart adapted to the truncated life test based on the Weibull distribution

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KHAN N., ASLAM M., KIM K.-J., JUN C.-H.
Operations Research and Decisions
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2017
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vol. 27
|
issue 1
43-55
EN
The design of a new mixed attribute control chart adapted to a truncated life test has been pre-sented. It was assumed that the lifetime of a product follows the Weibull distribution and the number of failures was observed using a truncated life test, where the test duration was specified as a fraction of the mean lifespan. The proposed control chart consists of two pairs of control limits based on a bi-nomial distribution and one lower bound. The average run length of the chart was determined for vari-ous levels of shift constants and specified parameters. The efficiency of the chart is compared with an existing control chart in terms of the average run length. The application of the proposed chart is dis-cussed with the aid of a simulation study.
2
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An EWMA control chart for the exponential distribution using repetitive sampling plan

100%
AZAM M., ASLAM M., JUN C.-H.
Operations Research and Decisions
|
2017
|
vol. 27
|
issue 2
5-19
EN
A new EWMA control chart has been proposed under repetitive sampling when a quantitative characteristic follows the exponential distribution. The properties of the proposed chart, including the average run lengths has been is compared with two existing control charts with the help of simulated data. An application of the proposed chart hs been illustrated using a healthcare data set.
3
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A control chart using belief information for a gamma distribution

100%
ASLAM M., KHAN N., JUN C.-H.
Operations Research and Decisions
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2016
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vol. 26
|
issue 4
5-19
EN
The design of a control chart has been presented using a belief estimator by assuming that the quantitative characteristic of interest follows the gamma distribution. The authors present the structure of the proposed chart and derive the average run lengths for in-control and a shifted process. The average run lengths for various specified parameters have been reported. The efficiency of the proposed chart has been compared to existing control charts. The application of the proposed chart is illustrated with the help of simulated data.
4
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On the performance of modified EWMA charts using resampling schemes

100%
KHAN N., YASMIN T., ASLAM M., JUN C.-H.
Operations Research and Decisions
|
2018
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vol. 28
|
issue 3
29-43
EN
Two popular sampling schemes have been used to design control charts by means of a modified exponentially weighted moving average (EWMA) statistic. The structures of the proposed charts, using repetitive group sampling and multiple dependent state sampling, have been presented. The values of average run length have been determined by some specified control chart parameters. The performance of the proposed chart was illustrated via a simulation study. The efficiency of the proposed chart has been compared with the existing one. A practical example based on real data was also given to explain the application of the proposed chart in industry.
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