{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,21]],"date-time":"2026-01-21T17:08:51Z","timestamp":1769015331936,"version":"3.49.0"},"reference-count":20,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2018,11,15]],"date-time":"2018-11-15T00:00:00Z","timestamp":1542240000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, a new variable control chart is proposed using multiple dependent-state repetitive sampling by assuming that the data follows a normal distribution having a symmetry property. Its efficiency will be evaluated in terms of in-control and out-of-control average run lengths. The results showed that the proposed chart is better than the existing variable control chart to detect an early shift in the process. An industrial example is given to illustrate the proposed chart in the industry.<\/jats:p>","DOI":"10.3390\/sym10110641","type":"journal-article","created":{"date-parts":[[2018,11,15]],"date-time":"2018-11-15T11:32:47Z","timestamp":1542281567000},"page":"641","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Design of a New Variable Shewhart Control Chart Using Multiple Dependent State Repetitive Sampling"],"prefix":"10.3390","volume":"10","author":[{"given":"Mansour Sattam","family":"Aldosari","sequence":"first","affiliation":[{"name":"Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0644-1950","authenticated-orcid":false,"given":"Muhammad","family":"Aslam","sequence":"additional","affiliation":[{"name":"Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0232-3260","authenticated-orcid":false,"given":"Nasrullah","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Statistics, Jhang Campus, University of Veterinary and Animal Sciences, Lahore 54000, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chi-Hyuck","family":"Jun","sequence":"additional","affiliation":[{"name":"Department of Industrial and Management Engineering, Pohang University of Science and Technology, Pohang 37673, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,11,15]]},"reference":[{"key":"ref_1","unstructured":"Shewhart, W.A. 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Eng."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1080\/02664760903266007","article-title":"Double-sampling control charts for attributes","volume":"38","author":"Epprecht","year":"2011","journal-title":"J. Appl. Stat."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1016\/j.ins.2014.01.022","article-title":"Designing of a new monitoring t-chart using repetitive sampling","volume":"269","author":"Aslam","year":"2014","journal-title":"Inf. Sci."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1007\/s11135-014-0002-2","article-title":"A control chart for an exponential distribution using multiple dependent state sampling","volume":"49","author":"Aslam","year":"2014","journal-title":"Qual. Quant."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Aslam, M., Nazir, A., and Jun, C.-H. (2014). A new attribute control chart using multiple dependent state sampling. Trans. Inst. Meas. 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