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The objective is to determine the optimal sequence of groups and jobs within groups and optimal due\u2010date assignment to minimize the weighted sum of the absolute value in lateness and due\u2010date assignment cost, where the weights are position dependent. For the common (CON) due\u2010date assignment, slack (SLK) due\u2010date assignment, and different (DIF) due\u2010date assignment, an <jats:italic>O<\/jats:italic>(<jats:italic>n<\/jats:italic>\u2009\u2009log\u2009\u2009<jats:italic>n<\/jats:italic>) time algorithm is proposed, respectively, to solve the problem, where <jats:italic>n<\/jats:italic> is the number of jobs.<\/jats:p>","DOI":"10.1155\/2021\/6656261","type":"journal-article","created":{"date-parts":[[2021,3,5]],"date-time":"2021-03-05T18:20:13Z","timestamp":1614968413000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Optimization for Due\u2010Date Assignment Single\u2010Machine Scheduling under Group Technology"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8731-8529","authenticated-orcid":false,"given":"Li-Yan","family":"Wang","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3174-8180","authenticated-orcid":false,"given":"Mengqi","family":"Liu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2271-6459","authenticated-orcid":false,"given":"Ji-Bo","family":"Wang","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8445-0839","authenticated-orcid":false,"given":"Yuan-Yuan","family":"Lu","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5753-8272","authenticated-orcid":false,"given":"Wei-Wei","family":"Liu","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,3,5]]},"reference":[{"key":"e_1_2_8_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2015.12.006"},{"key":"e_1_2_8_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2019.01.036"},{"key":"e_1_2_8_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2010.11.041"},{"key":"e_1_2_8_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2014.01.168"},{"key":"e_1_2_8_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2014.03.014"},{"key":"e_1_2_8_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2014.05.048"},{"key":"e_1_2_8_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.02.034"},{"key":"e_1_2_8_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2015.12.001"},{"key":"e_1_2_8_9_2","doi-asserted-by":"publisher","DOI":"10.1080\/0305215x.2016.1265305"},{"key":"e_1_2_8_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2018.01.002"},{"key":"e_1_2_8_11_2","doi-asserted-by":"publisher","DOI":"10.1080\/0305215x.2018.1500562"},{"key":"e_1_2_8_12_2","doi-asserted-by":"publisher","DOI":"10.1080\/0305215x.2018.1454442"},{"key":"e_1_2_8_13_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207543.2013.793424"},{"key":"e_1_2_8_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2013.06.035"},{"key":"e_1_2_8_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2015.06.018"},{"key":"e_1_2_8_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2015.12.043"},{"key":"e_1_2_8_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2010.12.023"},{"key":"e_1_2_8_18_2","doi-asserted-by":"publisher","DOI":"10.1080\/0305215x.2016.1197611"},{"key":"e_1_2_8_19_2","doi-asserted-by":"publisher","DOI":"10.1093\/comjnl\/bxx121"},{"key":"e_1_2_8_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2013.11.017"},{"key":"e_1_2_8_21_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-04550-3"},{"key":"e_1_2_8_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2019.106126"},{"key":"e_1_2_8_23_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0167-5060(08)70356-x"},{"volume-title":"Inequalities","year":"1967","author":"Hardy G. 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