{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,5,16]],"date-time":"2024-05-16T08:24:30Z","timestamp":1715847870084},"reference-count":29,"publisher":"Wiley","issue":"6","license":[{"start":{"date-parts":[[2018,5,21]],"date-time":"2018-05-21T00:00:00Z","timestamp":1526860800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Quality & Reliability Eng"],"published-print":{"date-parts":[[2018,10]]},"abstract":"Abstract<\/jats:title>Recent studies on the effects of parameter estimation on control charts have focused on their conditional in\u2010control (IC) performance and recommended either the minimum number of Phase I samples (m<\/jats:italic>) or adjustments to the control limit factor (L<\/jats:italic>) that guarantee a desired IC performance with a high probability. In most cases, the numbers of samples required are prohibitively large in practice, and the adjustments for smaller numbers of samples entail as a counterpart a deterioration of the chart's out\u2010of\u2010control (OOC) performance. This presents the user with a hard decision, in which he or she will have difficulty in finding the best compromise between the objectives of good (or acceptable) IC performance, OOC performance, and a practicable number of Phase I samples. Therefore, in the context of the S<\/jats:italic>2<\/jats:sup> chart, we propose a new approach that takes both the desired IC and OOC performances (that should be within specified tolerances with a specified high joint probability) as constraints for the optimization of the pair (L<\/jats:italic>, m<\/jats:italic>). This is the first work that simultaneously treats the choice of m<\/jats:italic> and the control limit adjustment in the framework of an optimization problem. With our model, the user can automatically obtain the most feasible (minimum m<\/jats:italic>) solution that satisfies his\/her requirements on both the IC and OOC performances.<\/jats:p>","DOI":"10.1002\/qre.2311","type":"journal-article","created":{"date-parts":[[2018,5,22]],"date-time":"2018-05-22T05:25:18Z","timestamp":1526966718000},"page":"1110-1126","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Simultaneously guaranteeing the in\u2010control and out\u2010of\u2010control performances of the S2<\/sup> control chart with estimated variance"],"prefix":"10.1002","volume":"34","author":[{"given":"Francisco","family":"Aparisi","sequence":"first","affiliation":[{"name":"Departamento de Estad\u00edstica e Investigaci\u00f3n Operativa Aplicadas y Calidad Universidad Polit\u00e9cnica de Valencia Valencia Spain"}]},{"given":"Jaime","family":"Mosquera","sequence":"additional","affiliation":[{"name":"School of Statistic Universidad del Valle Cali Colombia"}]},{"given":"Eugenio K.","family":"Epprecht","sequence":"additional","affiliation":[{"name":"Department of Industrial Engineering Rio de Janeiro Brazil"}]}],"member":"311","published-online":{"date-parts":[[2018,5,21]]},"reference":[{"key":"e_1_2_7_2_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.1999.11979944"},{"key":"e_1_2_7_3_1","doi-asserted-by":"publisher","DOI":"10.1080\/08982110802445561"},{"key":"e_1_2_7_4_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2014.11917969"},{"key":"e_1_2_7_5_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2006.11918623"},{"key":"e_1_2_7_6_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.1556"},{"key":"e_1_2_7_7_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610910008813602"},{"key":"e_1_2_7_8_1","doi-asserted-by":"publisher","DOI":"10.2307\/3315513"},{"key":"e_1_2_7_9_1","doi-asserted-by":"publisher","DOI":"10.1081\/SAC-120003851"},{"key":"e_1_2_7_10_1","doi-asserted-by":"publisher","DOI":"10.1080\/08982110701276653"},{"key":"e_1_2_7_11_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218539309003277"},{"issue":"1","key":"e_1_2_7_12_1","first-page":"73","article-title":"A robust standard deviation control chart","volume":"54","author":"Schoonhoven M","year":"2012","journal-title":"Dent Tech"},{"key":"e_1_2_7_13_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610926.2015.1066814"},{"key":"e_1_2_7_14_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2015.11918120"},{"key":"e_1_2_7_15_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2015.11918121"},{"key":"e_1_2_7_16_1","unstructured":"TrietschD BischakDP.The rate of false signals for control charts with limits estimated from small samples. 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