{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T02:29:59Z","timestamp":1740104999550,"version":"3.37.3"},"reference-count":39,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2018,10,17]],"date-time":"2018-10-17T00:00:00Z","timestamp":1539734400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/501100004595","name":"Universiti Sains Malaysia","doi-asserted-by":"publisher","award":["203.PMATHS.6711603"],"award-info":[{"award-number":["203.PMATHS.6711603"]}],"id":[{"id":"10.13039\/501100004595","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Quality &amp; Reliability Eng"],"published-print":{"date-parts":[[2019,2]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The standard deviation chart (<jats:italic>S<\/jats:italic> chart) is used to monitor process variability. This paper proposes an upper\u2010sided improved variable sample size and sampling interval <jats:styled-content>(VSSI<jats:sub>t<\/jats:sub>)<\/jats:styled-content> <jats:italic>S<\/jats:italic> chart by improving the existing upper\u2010sided variable sample size and sampling interval (VSSI) <jats:italic>S<\/jats:italic> chart through the inclusion of an additional sampling interval. The optimal designs of the <jats:styled-content>VSSI<jats:sub>t<\/jats:sub>\u00a0<jats:italic>S<\/jats:italic><\/jats:styled-content> chart together with the competing charts under consideration, such as the VSSI <jats:italic>S<\/jats:italic> and exponentially weighted moving average (EWMA) <jats:italic>S<\/jats:italic> charts, by minimizing the out\u2010of\u2010control average time to signal <jats:styled-content>(ATS<jats:sub>1<\/jats:sub>)<\/jats:styled-content> and expected average time to signal <jats:styled-content>(EATS<jats:sub>1<\/jats:sub>)<\/jats:styled-content> criteria, are performed using the MATLAB programs. The performances of the standard <jats:italic>S<\/jats:italic>, VSSI <jats:italic>S<\/jats:italic>, EWMA <jats:italic>S<\/jats:italic>, and <jats:styled-content>VSSI<jats:sub>t<\/jats:sub>\u00a0<jats:italic>S<\/jats:italic><\/jats:styled-content> charts are compared, in terms of the <jats:styled-content>ATS<jats:sub>1<\/jats:sub><\/jats:styled-content> and <jats:styled-content>EATS<jats:sub>1<\/jats:sub><\/jats:styled-content> criteria, where the results show that the <jats:styled-content>VSSI<jats:sub>t<\/jats:sub>\u00a0<jats:italic>S<\/jats:italic><\/jats:styled-content> chart surpasses the other charts in detecting moderate and large shifts, while the EWMA <jats:italic>S<\/jats:italic> is the best performing chart in detecting small shifts. An illustrative example is given to explain the implementation of the <jats:styled-content>VSSI<jats:sub>t<\/jats:sub>\u00a0<jats:italic>S<\/jats:italic><\/jats:styled-content> chart.<\/jats:p>","DOI":"10.1002\/qre.2407","type":"journal-article","created":{"date-parts":[[2018,10,18]],"date-time":"2018-10-18T02:15:13Z","timestamp":1539828913000},"page":"392-404","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["An improved variable sample size and sampling interval <i>S<\/i> control chart"],"prefix":"10.1002","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3245-1127","authenticated-orcid":false,"given":"Michael B.C.","family":"Khoo","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences Universiti Sains Malaysia  Minden Penang Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"May Yen","family":"See","sequence":"additional","affiliation":[{"name":"School of 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