{"id":"https://openalex.org/W4406890732","doi":"https://doi.org/10.1109/access.2025.3535825","title":"MILP Modeling and Optimization of Multi-Objective Three-Stage Flexible Job Shop Scheduling Problem With Assembly and AGV Transportation","display_name":"MILP Modeling and Optimization of Multi-Objective Three-Stage Flexible Job Shop Scheduling Problem With Assembly and AGV Transportation","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4406890732","doi":"https://doi.org/10.1109/access.2025.3535825"},"language":"en","primary_location":{"id":"doi:10.1109/access.2025.3535825","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3535825","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2025.3535825","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5115588328","display_name":"Shiming Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiming Yang","raw_affiliation_strings":["School of Computer Science, Liaocheng University, Liaocheng, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Liaocheng University, Liaocheng, China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075669304","display_name":"Leilei Meng","orcid":"https://orcid.org/0000-0003-1439-4832"},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Leilei Meng","raw_affiliation_strings":["School of Computer Science, Liaocheng University, Liaocheng, China"],"raw_orcid":"https://orcid.org/0000-0003-1439-4832","affiliations":[{"raw_affiliation_string":"School of Computer Science, Liaocheng University, Liaocheng, China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060849028","display_name":"Saif Ullah","orcid":"https://orcid.org/0000-0003-4772-7760"},"institutions":[{"id":"https://openalex.org/I173207729","display_name":"University of Engineering and Technology Taxila","ror":"https://ror.org/03v00ka07","country_code":"PK","type":"education","lineage":["https://openalex.org/I173207729"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Saif Ullah","raw_affiliation_strings":["Department of Industrial Engineering, University of Engineering and Technology, Taxila, Pakistan"],"raw_orcid":"https://orcid.org/0000-0003-4772-7760","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Engineering and Technology, Taxila, Pakistan","institution_ids":["https://openalex.org/I173207729"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057572742","display_name":"Biao Zhang","orcid":"https://orcid.org/0000-0003-4148-8172"},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Biao Zhang","raw_affiliation_strings":["School of Computer Science, Liaocheng University, Liaocheng, China"],"raw_orcid":"https://orcid.org/0000-0003-4148-8172","affiliations":[{"raw_affiliation_string":"School of Computer Science, Liaocheng University, Liaocheng, China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032353812","display_name":"Hongyan Sang","orcid":"https://orcid.org/0000-0001-7476-5039"},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongyan Sang","raw_affiliation_strings":["School of Computer Science, Liaocheng University, Liaocheng, China"],"raw_orcid":"https://orcid.org/0000-0001-7476-5039","affiliations":[{"raw_affiliation_string":"School of Computer Science, Liaocheng University, Liaocheng, China","institution_ids":["https://openalex.org/I196934937"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009022553","display_name":"Peng Duan","orcid":"https://orcid.org/0000-0002-7396-7592"},"institutions":[{"id":"https://openalex.org/I196934937","display_name":"Liaocheng University","ror":"https://ror.org/03yh0n709","country_code":"CN","type":"education","lineage":["https://openalex.org/I196934937"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peng Duan","raw_affiliation_strings":["School of Computer Science, Liaocheng University, Liaocheng, China"],"raw_orcid":"https://orcid.org/0000-0002-7396-7592","affiliations":[{"raw_affiliation_string":"School of Computer Science, Liaocheng University, Liaocheng, China","institution_ids":["https://openalex.org/I196934937"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":13.5673,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.988075,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"13","issue":null,"first_page":"25369","last_page":"25386"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9904000163078308,"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/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9904000163078308,"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9348000288009644,"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/job-shop-scheduling","display_name":"Job shop scheduling","score":0.7489330172538757},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6245236992835999},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.6150336265563965},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4843981862068176},{"id":"https://openalex.org/keywords/flow-shop-scheduling","display_name":"Flow shop scheduling","score":0.460803747177124},{"id":"https://openalex.org/keywords/processor-scheduling","display_name":"Processor scheduling","score":0.43147212266921997},{"id":"https://openalex.org/keywords/industrial-engineering","display_name":"Industrial engineering","score":0.3666568398475647},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.34956592321395874},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2028425931930542},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.10749807953834534},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.10141581296920776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.0828273594379425},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.0795229971408844}],"concepts":[{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.7489330172538757},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6245236992835999},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.6150336265563965},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4843981862068176},{"id":"https://openalex.org/C158336966","wikidata":"https://www.wikidata.org/wiki/Q3074426","display_name":"Flow shop scheduling","level":4,"score":0.460803747177124},{"id":"https://openalex.org/C2984822820","wikidata":"https://www.wikidata.org/wiki/Q1123036","display_name":"Processor scheduling","level":3,"score":0.43147212266921997},{"id":"https://openalex.org/C13736549","wikidata":"https://www.wikidata.org/wiki/Q4489420","display_name":"Industrial engineering","level":1,"score":0.3666568398475647},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.34956592321395874},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2028425931930542},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.10749807953834534},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.10141581296920776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0828273594379425},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0795229971408844},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2025.3535825","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3535825","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:bbfde9204d7e419b9510a43e0f5dae7d","is_oa":true,"landing_page_url":"https://doaj.org/article/bbfde9204d7e419b9510a43e0f5dae7d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 13, Pp 25369-25386 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2025.3535825","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3535825","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.7400000095367432}],"awards":[{"id":"https://openalex.org/G1304955069","display_name":null,"funder_award_id":"52205529","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3042819202","display_name":null,"funder_award_id":"62303204","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3467112382","display_name":null,"funder_award_id":"ZR2021QE195","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G4372289654","display_name":null,"funder_award_id":"SDAST2024QTA074","funder_id":"https://openalex.org/F4320309617","funder_display_name":"National Foundation for Science and Technology Development"},{"id":"https://openalex.org/G7998684626","display_name":null,"funder_award_id":"ZR2021QF036","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320309617","display_name":"National Foundation for Science and Technology Development","ror":"https://ror.org/04rw64z44"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1555689267","https://openalex.org/W1969109994","https://openalex.org/W2046437335","https://openalex.org/W2616713676","https://openalex.org/W2766489974","https://openalex.org/W2791416164","https://openalex.org/W2794868248","https://openalex.org/W2888630444","https://openalex.org/W2900116312","https://openalex.org/W2937599159","https://openalex.org/W2963879140","https://openalex.org/W2989902167","https://openalex.org/W2999377309","https://openalex.org/W3006275750","https://openalex.org/W3010126692","https://openalex.org/W3089152325","https://openalex.org/W3094288436","https://openalex.org/W3096258656","https://openalex.org/W3148710392","https://openalex.org/W3201324775","https://openalex.org/W4224240317","https://openalex.org/W4285119889","https://openalex.org/W4292185192","https://openalex.org/W4297201544","https://openalex.org/W4312819473","https://openalex.org/W4313894609","https://openalex.org/W4363675709","https://openalex.org/W4377137513","https://openalex.org/W4384831404","https://openalex.org/W4385610417","https://openalex.org/W4385756415","https://openalex.org/W4385779370","https://openalex.org/W4388088957","https://openalex.org/W4388948792","https://openalex.org/W4391341255","https://openalex.org/W4391469576","https://openalex.org/W4392672995","https://openalex.org/W4393252767","https://openalex.org/W4393999293","https://openalex.org/W4394829830","https://openalex.org/W4398155093","https://openalex.org/W4399898902","https://openalex.org/W4400773523","https://openalex.org/W4401933508"],"related_works":["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/W1971939018","https://openalex.org/W3155166764"],"abstract_inverted_index":{"In":[0,24,66,140],"the":[1,5,9,12,16,35,59,62,104,115,141,154,168,177,180,184],"real":[2],"manufacturing":[3],"environment,":[4],"machining":[6,40],"stage":[7,14],"of":[8,15,37,179],"jobs":[10,38,68],"and":[11,61,84,103,126,158,183],"assembly":[13,43,80,89],"products":[17],"are":[18,69,77,86,111,173],"often":[19],"completed":[20],"in":[21,34,72,88],"different":[22],"workshops.":[23],"addition,":[25],"automatic":[26],"guided":[27],"vehicle":[28],"(AGV)":[29],"plays":[30],"an":[31,127],"indispensable":[32],"role":[33],"transportation":[36],"from":[39],"workshop":[41,81],"to":[42,79,135,147,152,166,175],"workshop.":[44,90],"This":[45],"paper":[46],"studies":[47],"multi-objective":[48,161],"three-stage":[49],"flexible":[50,73],"job":[51,74],"shop":[52],"scheduling":[53],"problem":[54],"(FJSP-T-A)":[55],"with":[56],"minimizing":[57],"both":[58],"makespan":[60],"total":[63],"energy":[64],"consumption.":[65],"FJSP-T-A,":[67],"first":[70],"machined":[71],"shop,":[75],"then":[76],"transported":[78],"by":[82,113],"AGVs,":[83],"finally":[85],"assembled":[87],"To":[91],"solve":[92,137],"this":[93],"problem,":[94],"a":[95,145,160],"mixed-integer":[96],"linear":[97],"programming":[98],"model":[99,182],"(MILP)":[100],"is":[101,124,133],"developed":[102],"optimal":[105],"Pareto":[106],"front":[107],"for":[108],"small-scale":[109],"instances":[110],"solved":[112],"using":[114],"<inline-formula":[116],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[117],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[118],"<tex-math":[119],"notation=\"LaTeX\">$\\varepsilon":[120],"$":[121],"</tex-math></inline-formula>-method.":[122],"FJSP-T-A":[123],"NP-hard,":[125],"efficient":[128],"multi-population":[129],"co-evolutionary":[130],"algorithm":[131],"(MPCEA)":[132],"proposed":[134],"efficiently":[136],"large-scale":[138],"instances.":[139],"MPCEA,":[142],"we":[143],"design":[144,159],"strategy":[146],"select":[148],"relatively":[149],"high-quality":[150],"individuals":[151],"enhance":[153],"algorithm\u2019s":[155],"convergence":[156],"speed,":[157],"variable-neighborhood":[162],"search":[163,170],"(MOVNS)":[164],"method":[165],"improve":[167],"local":[169],"ability.":[171],"Experiments":[172],"conducted":[174],"prove":[176],"effectiveness":[178],"MILP":[181],"MPCEA.":[185]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":11}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}