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Link to original content: https://api.crossref.org/works/10.1002/QRE.2450
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Recent research has highlighted the high variability in the in\u2010control performance of these charts. This has led to the recommendation of studying of the conditional in\u2010control average run\u2010length (CARL<\/jats:italic>IN<\/jats:italic><\/jats:sub>) distribution. We study the performance and the design of the Phase II EWMA chart for the mean, using the CARL<\/jats:italic>IN<\/jats:italic><\/jats:sub> distribution and the exceedance probability criterion (EPC<\/jats:italic>). The CARL<\/jats:italic>IN<\/jats:italic><\/jats:sub> distribution is approximated by the Markov Chain method and Monte Carlo simulations. Our results show that in\u2010order to design charts that guarantee a specified EPC<\/jats:italic>, more Phase I data are needed than previously recommended in the literature. A method for adjusting the Phase II EWMA control chart limits, to achieve a specified EPC<\/jats:italic>, for the available amount of data at hand, is presented. This method does not involve bootstrapping and produces results that are about the same as some existing results. Tables and graphs of the adjusted constants are provided. An in\u2010control and out\u2010of\u2010control performance evaluation of the adjusted limits EWMA chart is presented. Results show that, for moderate to large shifts, the performance of the adjusted limits EWMA chart is quite satisfactory. For small shifts, an in\u2010control and out\u2010of\u2010control performance tradeoff can be made to improve performance.<\/jats:p>","DOI":"10.1002\/qre.2450","type":"journal-article","created":{"date-parts":[[2019,1,21]],"date-time":"2019-01-21T04:59:47Z","timestamp":1548046787000},"page":"1144-1160","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Guaranteed in\u2010control performance of the EWMA chart for monitoring the mean"],"prefix":"10.1002","volume":"35","author":[{"given":"Mandla D.","family":"Diko","sequence":"first","affiliation":[{"name":"Department of Operations Management University of Amsterdam Amsterdam The Netherlands"}]},{"given":"Subha","family":"Chakraborti","sequence":"additional","affiliation":[{"name":"Department of Information Systems, Statistics and Management Science University of Alabama Tuscaloosa Alabama USA"}]},{"given":"Ronald 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