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Then, a hybrid estimation of distribution algorithm with variable neighborhood search (HEDA_VNS) is developed to solve the scheduling problem. In the HEDA_VNS, the reasonable coding\/decoding rules and speed scheduling scheme (SSS) are designed. Moreover, two local search strategies are designed to further enhance the performance of HEDA_VNS. Among them, three types of neighborhood search strategies are devised in Local Search I to improve the search efficiency while retaining the structure of the original high\u2010quality solution. A variable neighborhood hybrid operation based on the speed scheduling set is designed in Local Search II to further improve the quality of the solution while balancing the optimization goals. Finally, simulations and comparisons show the efficiency of the proposed HEDA_VNS.<\/jats:p>","DOI":"10.1155\/2021\/5558949","type":"journal-article","created":{"date-parts":[[2021,6,1]],"date-time":"2021-06-01T20:55:54Z","timestamp":1622580954000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Hybrid Estimation of Distribution Algorithm for Solving Three\u2010Stage Multiobjective Integrated Scheduling Problem"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1894-1012","authenticated-orcid":false,"given":"Chao","family":"Deng","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5000-6625","authenticated-orcid":false,"given":"Rong","family":"Hu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bin","family":"Qian","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huai P.","family":"Jin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,6]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apenergy.2016.04.085"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0377-2217(94)00294-M"},{"key":"e_1_2_10_3_2","article-title":"Toward energy efficient manufacturing: a study on practices and viewpoint of the industry","volume":"8","author":"May G.","year":"2012","journal-title":"Competitive Manufacturing for Innovative Products and Services"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.procir.2015.01.063"},{"key":"e_1_2_10_5_2","first-page":"135","article-title":"Production energy optimization using low dynamic programming, a decision support tool for sustainable manufacturing","volume":"15","author":"Zhu Q.","year":"2014","journal-title":"Journal of Cleaner Production"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/8565921"},{"key":"e_1_2_10_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2018.04.251"},{"key":"e_1_2_10_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0305-0548(00)00004-6"},{"key":"e_1_2_10_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00170-010-2579-5"},{"key":"e_1_2_10_10_2","first-page":"1","article-title":"A three-stage assembly flow shop scheduling problem with blocking and sequence-dependent setup times","volume":"8","author":"Maleki A.","year":"2012","journal-title":"Journal of Industrial Engineering International"},{"key":"e_1_2_10_11_2","first-page":"429","article-title":"NSGA-II with iterated greedy for a bi-objective three-stage assembly flowshop scheduling problem, Conference on Genetic & Evolutionary Computation","volume":"12","author":"Campos S. 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