{"id":"https://openalex.org/W3208702183","doi":"https://doi.org/10.1109/tcyb.2021.3120875","title":"A Hybrid Evolutionary Algorithm Using Two Solution Representations for Hybrid Flow-Shop Scheduling Problem","display_name":"A Hybrid Evolutionary Algorithm Using Two Solution Representations for Hybrid Flow-Shop Scheduling Problem","publication_year":2021,"publication_date":"2021-10-28","ids":{"openalex":"https://openalex.org/W3208702183","doi":"https://doi.org/10.1109/tcyb.2021.3120875","mag":"3208702183","pmid":"https://pubmed.ncbi.nlm.nih.gov/34710048"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2021.3120875","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3120875","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069189604","display_name":"Jiaxin Fan","orcid":"https://orcid.org/0000-0003-4887-5378"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiaxin Fan","raw_affiliation_strings":["State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0003-4887-5378","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078799537","display_name":"Yingli Li","orcid":"https://orcid.org/0000-0001-5615-3047"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingli Li","raw_affiliation_strings":["State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101920744","display_name":"Jin Xie","orcid":"https://orcid.org/0000-0001-8281-3846"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin Xie","raw_affiliation_strings":["State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018767538","display_name":"Chunjiang Zhang","orcid":"https://orcid.org/0000-0002-2284-7291"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunjiang Zhang","raw_affiliation_strings":["State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-2284-7291","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062049138","display_name":"Weiming Shen","orcid":"https://orcid.org/0000-0001-5204-7992"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiming Shen","raw_affiliation_strings":["State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-5204-7992","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017886286","display_name":"Liang Gao","orcid":"https://orcid.org/0000-0002-1485-0722"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Gao","raw_affiliation_strings":["State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-1485-0722","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":5.476,"has_fulltext":false,"cited_by_count":79,"citation_normalized_percentile":{"value":0.9620436,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"53","issue":"3","first_page":"1752","last_page":"1764"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12782","display_name":"Assembly Line Balancing Optimization","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.987500011920929,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7561427354812622},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6830803751945496},{"id":"https://openalex.org/keywords/job-shop-scheduling","display_name":"Job shop scheduling","score":0.6450122594833374},{"id":"https://openalex.org/keywords/tabu-search","display_name":"Tabu search","score":0.6281508207321167},{"id":"https://openalex.org/keywords/flow-shop-scheduling","display_name":"Flow shop scheduling","score":0.578266978263855},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5359284281730652},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4994370937347412},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.47503238916397095},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.4472254514694214},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.435558944940567},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.4321794807910919},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.4210093915462494},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.20365524291992188},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1748529076576233},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16543489694595337}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7561427354812622},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6830803751945496},{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.6450122594833374},{"id":"https://openalex.org/C123370116","wikidata":"https://www.wikidata.org/wiki/Q1424540","display_name":"Tabu search","level":2,"score":0.6281508207321167},{"id":"https://openalex.org/C158336966","wikidata":"https://www.wikidata.org/wiki/Q3074426","display_name":"Flow shop scheduling","level":4,"score":0.578266978263855},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5359284281730652},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4994370937347412},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.47503238916397095},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.4472254514694214},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.435558944940567},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.4321794807910919},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4210093915462494},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.20365524291992188},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1748529076576233},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16543489694595337},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2021.3120875","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3120875","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},{"id":"pmid:34710048","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34710048","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G3393699473","display_name":null,"funder_award_id":"51905199","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6598596389","display_name":null,"funder_award_id":"51825502","funder_id":"https://openalex.org/F4320336125","funder_display_name":"National Science Fund for Distinguished Young Scholars"},{"id":"https://openalex.org/G981922341","display_name":null,"funder_award_id":"U20A6004 \u2033","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336125","display_name":"National Science Fund for Distinguished Young Scholars","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W1625914768","https://openalex.org/W1984297368","https://openalex.org/W1989076328","https://openalex.org/W1999875440","https://openalex.org/W2000099188","https://openalex.org/W2006751452","https://openalex.org/W2019704988","https://openalex.org/W2022142203","https://openalex.org/W2022151531","https://openalex.org/W2024085737","https://openalex.org/W2034738446","https://openalex.org/W2036942713","https://openalex.org/W2040344278","https://openalex.org/W2045403113","https://openalex.org/W2046283054","https://openalex.org/W2050953018","https://openalex.org/W2055936243","https://openalex.org/W2063345867","https://openalex.org/W2065067435","https://openalex.org/W2069824896","https://openalex.org/W2080271097","https://openalex.org/W2084957983","https://openalex.org/W2089773920","https://openalex.org/W2120897734","https://openalex.org/W2122967269","https://openalex.org/W2153895727","https://openalex.org/W2260286117","https://openalex.org/W2327691617","https://openalex.org/W2550749820","https://openalex.org/W2624187131","https://openalex.org/W2767177219","https://openalex.org/W2768102642","https://openalex.org/W2886744661","https://openalex.org/W2904255746","https://openalex.org/W2911492105","https://openalex.org/W2914802811","https://openalex.org/W2924260156","https://openalex.org/W2943474422","https://openalex.org/W2951307174","https://openalex.org/W2951537749","https://openalex.org/W2965762698","https://openalex.org/W2972396893","https://openalex.org/W2979899262","https://openalex.org/W2999708372","https://openalex.org/W3033186750","https://openalex.org/W3038502328","https://openalex.org/W3092878571","https://openalex.org/W3093620985","https://openalex.org/W3102115455","https://openalex.org/W3108526658","https://openalex.org/W3159351996","https://openalex.org/W4246598646","https://openalex.org/W4300516638"],"related_works":["https://openalex.org/W2937685542","https://openalex.org/W2967782293","https://openalex.org/W2185192838","https://openalex.org/W2069961172","https://openalex.org/W2955323683","https://openalex.org/W1564838499","https://openalex.org/W2559484340","https://openalex.org/W26892725","https://openalex.org/W2165758382","https://openalex.org/W3034078175"],"abstract_inverted_index":{"As":[0],"an":[1],"extension":[2],"of":[3,63],"the":[4,9,48,64,73,92,98,102,136,153,162,176,196,203,207],"classical":[5,143],"flow-shop":[6,11],"scheduling":[7,12],"problem,":[8],"hybrid":[10,80],"problem":[13],"(HFSP)":[14],"widely":[15],"exists":[16],"in":[17,46,182],"large-scale":[18],"industrial":[19],"production":[20],"systems":[21],"and":[22,32,39,54,110,184],"has":[23],"been":[24],"considered":[25],"to":[26,69,90,115,134,152,157],"be":[27],"challenging":[28],"for":[29,94,139,161,214],"its":[30],"complexity":[31],"flexibility.":[33],"Evolutionary":[34],"algorithms":[35],"based":[36,126],"on":[37,127,147,169],"encoding":[38,53,108],"heuristic":[40,112],"decoding":[41,55,113],"approaches":[42],"are":[43,150],"shown":[44],"effective":[45],"solving":[47],"HFSP.":[49],"However,":[50],"frequently":[51],"used":[52],"strategies":[56],"can":[57],"only":[58],"search":[59,123],"a":[60,79,106,121,128],"limited":[61],"area":[62],"solution":[65,86,103],"space,":[66],"thus":[67],"leading":[68],"unsatisfactory":[70],"performance":[71],"during":[72],"later":[74],"period.":[75],"In":[76],"this":[77],"article,":[78],"evolutionary":[81],"algorithm":[82],"(HEA)":[83],"using":[84],"two":[85,111],"representations":[87],"is":[88,132,167,185],"proposed":[89,99,165,197,208],"solve":[91],"HFSP":[93,172],"makespan":[95],"minimization.":[96],"First,":[97],"HEA":[100,166,198],"searches":[101],"space":[104,138],"by":[105],"permutation-based":[107],"representation":[109,131],"methods":[114],"find":[116],"some":[117,188],"promising":[118],"areas.":[119],"Afterward,":[120],"Tabu":[122],"(TS)":[124],"procedure":[125],"disjunctive":[129],"graph":[130],"introduced":[133],"expand":[135],"searching":[137],"further":[140],"optimization.":[141],"Two":[142],"neighborhood":[144],"structures":[145],"focusing":[146],"critical":[148],"paths":[149],"extended":[151],"problem-specific":[154],"backward":[155],"schedules":[156],"generate":[158],"candidate":[159],"solutions":[160,213],"TS.":[163],"The":[164],"tested":[168],"three":[170],"public":[171],"benchmark":[173],"sets":[174],"from":[175],"existing":[177],"literature,":[178],"including":[179],"567":[180],"instances":[181],"total,":[183],"compared":[186],"with":[187],"state-of-the-art":[189],"algorithms.":[190,205],"Extensive":[191],"experimental":[192],"results":[193],"indicate":[194],"that":[195],"performs":[199],"much":[200],"better":[201],"than":[202],"other":[204],"Moreover,":[206],"method":[209],"finds":[210],"new":[211],"best":[212],"285":[215],"hard":[216],"instances.":[217]},"counts_by_year":[{"year":2026,"cited_by_count":11},{"year":2025,"cited_by_count":25},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}