{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,18]],"date-time":"2026-06-18T22:25:24Z","timestamp":1781821524945,"version":"3.54.5"},"reference-count":39,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"name":"Science Research Foundation of Educational Department of Liaoning Province","award":["LJKMZ20220527"],"award-info":[{"award-number":["LJKMZ20220527"]}]},{"name":"Liaoning Provincial Department of Education Project","award":["LN2019X09"],"award-info":[{"award-number":["LN2019X09"]}]},{"name":"Youth Fund of Humanities and Social Sciences Research Project of the Ministry of Education","award":["21YJC790105"],"award-info":[{"award-number":["21YJC790105"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2024,6]]},"abstract":"<jats:p> In this paper, we consider two single-machine scheduling problems with deteriorating jobs and controllable processing time. The job processing time is a function of its starting time and resource allocation. For the convex resource function, a bicriteria analysis is provided, where the first (respectively, second) criteria is to minimize total weighted completion time (respectively, total resource consumption cost). The first problem is to minimize the weighted sum of the total weighted completion time and the total resource consumption cost. The second problem is to minimize the total weighted completion time subject to the total resource consumption cost is bound. These both problems are NP-hard, we propose some heuristic algorithms and a branch-and-bound algorithm to solve the problems. <\/jats:p>","DOI":"10.1142\/s0217595923500264","type":"journal-article","created":{"date-parts":[[2023,8,12]],"date-time":"2023-08-12T03:16:30Z","timestamp":1691810190000},"source":"Crossref","is-referenced-by-count":46,"title":["Controllable Processing Time Scheduling with Total Weighted Completion Time Objective and Deteriorating Jobs"],"prefix":"10.1142","volume":"41","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2271-6459","authenticated-orcid":false,"given":"Ji-Bo","family":"Wang","sequence":"first","affiliation":[{"name":"School of Science, Shenyang Aerospace University, Shenyang, Liaoning 110136, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-0288-9800","authenticated-orcid":false,"given":"Yi-Chun","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Science, Shenyang Aerospace University, Shenyang, Liaoning 110136, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-7159-9262","authenticated-orcid":false,"given":"Congying","family":"Wan","sequence":"additional","affiliation":[{"name":"Institute of Economic and Social Development, Dongbei University of Finance and Economics, Dalian, Liaoning 116025, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9424-0210","authenticated-orcid":false,"given":"Dan-Yang","family":"Lv","sequence":"additional","affiliation":[{"name":"School of Science, Shenyang Aerospace University, Shenyang, Liaoning 110136, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6171-4109","authenticated-orcid":false,"given":"Lei","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Science, Shenyang Aerospace University, Shenyang, Liaoning 110136, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2023,9,13]]},"reference":[{"key":"S0217595923500264BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0190(01)00196-X"},{"key":"S0217595923500264BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/s10878-023-00993-z"},{"key":"S0217595923500264BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-59362-2"},{"key":"S0217595923500264BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/s10951-019-00630-w"},{"key":"S0217595923500264BIB005","volume-title":"Inequalities","author":"Hardy G-H","year":"1967","edition":"2"},{"key":"S0217595923500264BIB006","doi-asserted-by":"publisher","DOI":"10.1142\/S0217595919500313"},{"key":"S0217595923500264BIB007","doi-asserted-by":"publisher","DOI":"10.1111\/itor.12121"},{"key":"S0217595923500264BIB008","doi-asserted-by":"publisher","DOI":"10.1142\/S0217595922500051"},{"key":"S0217595923500264BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-016-2630-z"},{"key":"S0217595923500264BIB010","doi-asserted-by":"publisher","DOI":"10.3390\/pr11041271"},{"key":"S0217595923500264BIB011","doi-asserted-by":"publisher","DOI":"10.1080\/0305215X.2018.1500562"},{"key":"S0217595923500264BIB012","doi-asserted-by":"publisher","DOI":"10.1007\/s11590-012-0467-7"},{"key":"S0217595923500264BIB013","doi-asserted-by":"publisher","DOI":"10.1080\/0305215X.2017.1414207"},{"key":"S0217595923500264BIB014","doi-asserted-by":"publisher","DOI":"10.1007\/s10951-019-00622-w"},{"key":"S0217595923500264BIB015","doi-asserted-by":"publisher","DOI":"10.1142\/S0217595921500081"},{"key":"S0217595923500264BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/0305-0483(83)90088-9"},{"key":"S0217595923500264BIB017","doi-asserted-by":"publisher","DOI":"10.1057\/jors.2013.5"},{"key":"S0217595923500264BIB018","doi-asserted-by":"publisher","DOI":"10.1007\/s10878-023-01025-6"},{"key":"S0217595923500264BIB019","doi-asserted-by":"publisher","DOI":"10.1080\/00207543.2022.2049911"},{"key":"S0217595923500264BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2021.03.034"},{"key":"S0217595923500264BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2007.02.003"},{"key":"S0217595923500264BIB022","doi-asserted-by":"publisher","DOI":"10.1080\/00207543.2019.1566675"},{"key":"S0217595923500264BIB023","doi-asserted-by":"publisher","DOI":"10.1007\/s10951-022-00756-4"},{"key":"S0217595923500264BIB024","doi-asserted-by":"publisher","DOI":"10.1142\/S0217595922500221"},{"key":"S0217595923500264BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2018.11.023"},{"key":"S0217595923500264BIB026","doi-asserted-by":"publisher","DOI":"10.1111\/itor.12323"},{"key":"S0217595923500264BIB027","doi-asserted-by":"publisher","DOI":"10.3934\/jimo.2022011"},{"key":"S0217595923500264BIB028","doi-asserted-by":"publisher","DOI":"10.1111\/itor.12888"},{"key":"S0217595923500264BIB029","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2011.05.026"},{"key":"S0217595923500264BIB030","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2012.05.025"},{"key":"S0217595923500264BIB031","doi-asserted-by":"publisher","DOI":"10.1007\/s00170-013-4771-x"},{"key":"S0217595923500264BIB032","doi-asserted-by":"publisher","DOI":"10.3390\/math11010222"},{"key":"S0217595923500264BIB033","doi-asserted-by":"publisher","DOI":"10.1080\/0305215X.2021.1876041"},{"key":"S0217595923500264BIB034","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2011.07.005"},{"key":"S0217595923500264BIB035","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2013.08.030"},{"key":"S0217595923500264BIB036","doi-asserted-by":"publisher","DOI":"10.3390\/math10162983"},{"key":"S0217595923500264BIB037","doi-asserted-by":"publisher","DOI":"10.1057\/jors.2012.161"},{"key":"S0217595923500264BIB038","doi-asserted-by":"publisher","DOI":"10.3934\/jimo.2020096"},{"key":"S0217595923500264BIB039","doi-asserted-by":"publisher","DOI":"10.1111\/itor.12393"}],"container-title":["Asia-Pacific Journal of Operational Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0217595923500264","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T05:42:15Z","timestamp":1718084535000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0217595923500264"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,9,13]]},"references-count":39,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2024,6]]}},"alternative-id":["10.1142\/S0217595923500264"],"URL":"https:\/\/doi.org\/10.1142\/s0217595923500264","relation":{},"ISSN":["0217-5959","1793-7019"],"issn-type":[{"value":"0217-5959","type":"print"},{"value":"1793-7019","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,9,13]]},"article-number":"2350026"}}