{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,2]],"date-time":"2024-09-02T19:49:22Z","timestamp":1725306562070},"reference-count":32,"publisher":"Wiley","issue":"8","license":[{"start":{"date-parts":[[2017,4,17]],"date-time":"2017-04-17T00:00:00Z","timestamp":1492387200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"name":"USM Fellowship and USM Research University Grant","award":["1001\/PMATHS\/811263"]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Quality & Reliability Eng"],"published-print":{"date-parts":[[2017,12]]},"abstract":"The run sum \n control chart is usually investigated under the assumption of known process parameters. In practice, process parameters are rarely known and they need to be estimated from an in\u2010control Phase\u00a0I dataset. However, different practitioners use different numbers of Phase\u00a0I samples to estimate the process parameters. As a result, the commonly used performance measure, ie, the average run length becomes a random variable. In this study, we present a run sum \n control chart with estimated process parameters and use the standard deviation of the average run length to evaluate the average of the average run length performance of the run sum \n chart when process parameters are estimated. Based on the standard deviation of the average run length criterion, the number of Phase\u00a0I samples required by the estimated process parameter\u2013based run sum \n chart to have an average of the average run length performance close to that obtained under the assumption of known process parameters is recommended.<\/jats:p>","DOI":"10.1002\/qre.2153","type":"journal-article","created":{"date-parts":[[2017,4,18]],"date-time":"2017-04-18T02:12:41Z","timestamp":1492481561000},"page":"1885-1899","source":"Crossref","is-referenced-by-count":11,"title":["Run sum X\u00af control chart with estimated process parameters"],"prefix":"10.1002","volume":"33","author":[{"given":"Sajal","family":"Saha","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences Universiti Sains Malaysia Penang Malaysia"}]},{"given":"Michael B. C.","family":"Khoo","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences Universiti Sains Malaysia Penang Malaysia"}]},{"given":"W. L.","family":"Teoh","sequence":"additional","affiliation":[{"name":"School of Mathematical and Computer Sciences Heriot\u2010Watt University Malaysia Putrajaya Malaysia"}]},{"given":"Ming Ha","family":"Lee","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, Computing and Science Swinburne University of Technology Sarawak Campus Kuching Sarawak Malaysia"}]}],"member":"311","published-online":{"date-parts":[[2017,4,17]]},"reference":[{"key":"e_1_2_8_2_1","volume-title":"Introduction to Statistical Quality Control","author":"Montgomery DC","year":"2012"},{"key":"e_1_2_8_3_1","first-page":"411","article-title":"A comparison of some control chart procedures","volume":"8","author":"Roberts SW","year":"1966","journal-title":"Dent Tech"},{"key":"e_1_2_8_4_1","first-page":"51","article-title":"Zone control charts\u2014SPC made easy","volume":"26","author":"Jaehn AH","year":"1987","journal-title":"Qual"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610929008830278"},{"key":"e_1_2_8_6_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610929408831464"},{"key":"e_1_2_8_7_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.1997.11979792"},{"key":"e_1_2_8_8_1","doi-asserted-by":"publisher","DOI":"10.1081\/SAC-9687284"},{"key":"e_1_2_8_9_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610926.2012.721913"},{"key":"e_1_2_8_10_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00170-004-2471-2"},{"key":"e_1_2_8_11_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610910600880583"},{"key":"e_1_2_8_12_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2007.11917673"},{"key":"e_1_2_8_13_1","doi-asserted-by":"publisher","DOI":"10.1080\/0740817X.2010.549547"},{"key":"e_1_2_8_14_1","doi-asserted-by":"publisher","DOI":"10.1093\/intqhc\/mzr082"},{"key":"e_1_2_8_15_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.1261"},{"key":"e_1_2_8_16_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.1209"},{"key":"e_1_2_8_17_1","doi-asserted-by":"publisher","DOI":"10.1080\/16843703.2013.11673305"},{"key":"e_1_2_8_18_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2013.02.022"},{"key":"e_1_2_8_19_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2013.11.001"},{"key":"e_1_2_8_20_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00170-015-6949-x"},{"key":"e_1_2_8_21_1","doi-asserted-by":"publisher","DOI":"10.1080\/03610918.2014.889158"},{"key":"e_1_2_8_22_1","first-page":"58","article-title":"The effects of parameter estimation on minimising the in\u2010control average sample size for the double sampling \nX\u00af chart","volume":"24","author":"Khoo MBC","year":"2013","journal-title":"S Afr J Ind Eng"},{"key":"e_1_2_8_23_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.1556"},{"key":"e_1_2_8_24_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2015.11918120"},{"key":"e_1_2_8_25_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2015.11918140"},{"key":"e_1_2_8_26_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.1645"},{"key":"e_1_2_8_27_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.1695"},{"key":"e_1_2_8_28_1","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2014.11917969"},{"key":"e_1_2_8_29_1","doi-asserted-by":"publisher","DOI":"10.1093\/intqhc\/mzr082"},{"key":"e_1_2_8_30_1","doi-asserted-by":"publisher","DOI":"10.1002\/sjos.12006"},{"key":"e_1_2_8_31_1","doi-asserted-by":"publisher","DOI":"10.1002\/qre.1495"},{"key":"e_1_2_8_32_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2012.11.008"},{"key":"e_1_2_8_33_1","doi-asserted-by":"publisher","DOI":"10.1080\/16843703.2016.1139842"}],"container-title":["Quality and Reliability Engineering International"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fqre.2153","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/qre.2153","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,7]],"date-time":"2023-10-07T03:16:03Z","timestamp":1696648563000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/qre.2153"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,4,17]]},"references-count":32,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2017,12]]}},"alternative-id":["10.1002\/qre.2153"],"URL":"https:\/\/doi.org\/10.1002\/qre.2153","archive":["Portico"],"relation":{},"ISSN":["0748-8017","1099-1638"],"issn-type":[{"value":"0748-8017","type":"print"},{"value":"1099-1638","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,4,17]]}}}