{"id":"https://openalex.org/W3195002088","doi":"https://doi.org/10.3390/sym13081521","title":"Modeling and Optimization for Multi-Objective Nonidentical Parallel Machining Line Scheduling with a Jumping Process Operation Constraint","display_name":"Modeling and Optimization for Multi-Objective Nonidentical Parallel Machining Line Scheduling with a Jumping Process Operation Constraint","publication_year":2021,"publication_date":"2021-08-18","ids":{"openalex":"https://openalex.org/W3195002088","doi":"https://doi.org/10.3390/sym13081521","mag":"3195002088"},"language":"en","primary_location":{"id":"doi:10.3390/sym13081521","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13081521","pdf_url":"https://www.mdpi.com/2073-8994/13/8/1521/pdf?version=1629456654","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/13/8/1521/pdf?version=1629456654","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001418929","display_name":"Guangyan Xu","orcid":null},"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":"Guangyan Xu","raw_affiliation_strings":["School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018060126","display_name":"Zailin Guan","orcid":"https://orcid.org/0000-0003-2295-6698"},"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":"Zailin Guan","raw_affiliation_strings":["School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100719637","display_name":"Lei Yue","orcid":"https://orcid.org/0000-0001-7189-3537"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lei Yue","raw_affiliation_strings":["School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510000, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510000, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006787417","display_name":"Jabir Mumtaz","orcid":"https://orcid.org/0000-0002-6386-272X"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jabir Mumtaz","raw_affiliation_strings":["College of Mechanical and Electronic Engineering, Wenzhou University, Wenzhou 325000, China"],"affiliations":[{"raw_affiliation_string":"College of Mechanical and Electronic Engineering, Wenzhou University, Wenzhou 325000, China","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101693633","display_name":"Jun Liang","orcid":"https://orcid.org/0000-0003-1926-0120"},"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":"Jun Liang","raw_affiliation_strings":["School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100719637"],"corresponding_institution_ids":["https://openalex.org/I37987034"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.4448,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.69891136,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"13","issue":"8","first_page":"1521","last_page":"1521"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12782","display_name":"Assembly Line Balancing Optimization","score":0.9997000098228455,"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/T12782","display_name":"Assembly Line Balancing Optimization","score":0.9997000098228455,"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":0.9994999766349792,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9991000294685364,"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":0.7327537536621094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6671565771102905},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5733565092086792},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5514923334121704},{"id":"https://openalex.org/keywords/production-line","display_name":"Production line","score":0.500842809677124},{"id":"https://openalex.org/keywords/machining","display_name":"Machining","score":0.479069322347641},{"id":"https://openalex.org/keywords/schedule","display_name":"Schedule","score":0.24394235014915466},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16946107149124146},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1343730390071869}],"concepts":[{"id":"https://openalex.org/C55416958","wikidata":"https://www.wikidata.org/wiki/Q6206757","display_name":"Job shop scheduling","level":3,"score":0.7327537536621094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6671565771102905},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5733565092086792},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5514923334121704},{"id":"https://openalex.org/C99862985","wikidata":"https://www.wikidata.org/wiki/Q10858068","display_name":"Production line","level":2,"score":0.500842809677124},{"id":"https://openalex.org/C523214423","wikidata":"https://www.wikidata.org/wiki/Q192047","display_name":"Machining","level":2,"score":0.479069322347641},{"id":"https://openalex.org/C68387754","wikidata":"https://www.wikidata.org/wiki/Q7271585","display_name":"Schedule","level":2,"score":0.24394235014915466},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16946107149124146},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1343730390071869},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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":3,"locations":[{"id":"doi:10.3390/sym13081521","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13081521","pdf_url":"https://www.mdpi.com/2073-8994/13/8/1521/pdf?version=1629456654","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5491d9358fcc47c99efd8f61ebf29210","is_oa":true,"landing_page_url":"https://doaj.org/article/5491d9358fcc47c99efd8f61ebf29210","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 13, Iss 8, p 1521 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/8/1521/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13081521","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym13081521","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13081521","pdf_url":"https://www.mdpi.com/2073-8994/13/8/1521/pdf?version=1629456654","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5299999713897705,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[{"id":"https://openalex.org/G1503363124","display_name":null,"funder_award_id":"51905196","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7395174699","display_name":null,"funder_award_id":"71620107002","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"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3195002088.pdf","grobid_xml":"https://content.openalex.org/works/W3195002088.grobid-xml"},"referenced_works_count":60,"referenced_works":["https://openalex.org/W890304461","https://openalex.org/W1606791384","https://openalex.org/W1964051453","https://openalex.org/W1968975376","https://openalex.org/W1977537839","https://openalex.org/W1979908898","https://openalex.org/W1984576194","https://openalex.org/W1985279634","https://openalex.org/W1994353399","https://openalex.org/W1999959169","https://openalex.org/W2000051282","https://openalex.org/W2002342474","https://openalex.org/W2010643995","https://openalex.org/W2017299308","https://openalex.org/W2020607733","https://openalex.org/W2035265995","https://openalex.org/W2038420231","https://openalex.org/W2061438946","https://openalex.org/W2063371409","https://openalex.org/W2065067435","https://openalex.org/W2069541700","https://openalex.org/W2071306354","https://openalex.org/W2073478661","https://openalex.org/W2078463045","https://openalex.org/W2081207311","https://openalex.org/W2081269486","https://openalex.org/W2081412367","https://openalex.org/W2086672027","https://openalex.org/W2094204587","https://openalex.org/W2098907614","https://openalex.org/W2102184039","https://openalex.org/W2105245738","https://openalex.org/W2106334424","https://openalex.org/W2108968575","https://openalex.org/W2111203151","https://openalex.org/W2126105956","https://openalex.org/W2131638366","https://openalex.org/W2143381319","https://openalex.org/W2158691252","https://openalex.org/W2165171393","https://openalex.org/W2167685483","https://openalex.org/W2174096823","https://openalex.org/W2768154903","https://openalex.org/W2775472713","https://openalex.org/W2887366348","https://openalex.org/W2892201215","https://openalex.org/W2903869014","https://openalex.org/W2907035139","https://openalex.org/W2910401986","https://openalex.org/W2912047935","https://openalex.org/W2944886710","https://openalex.org/W2947753645","https://openalex.org/W2963185242","https://openalex.org/W2981408621","https://openalex.org/W3008652643","https://openalex.org/W3026547118","https://openalex.org/W3084098903","https://openalex.org/W6636219764","https://openalex.org/W6642510252","https://openalex.org/W6666675535"],"related_works":["https://openalex.org/W2803338891","https://openalex.org/W2043267898","https://openalex.org/W2112229447","https://openalex.org/W2036155574","https://openalex.org/W3172150420","https://openalex.org/W2107725657","https://openalex.org/W2063119839","https://openalex.org/W2053955898","https://openalex.org/W2975110486","https://openalex.org/W3204654320"],"abstract_inverted_index":{"This":[0,174],"paper":[1],"investigates":[2],"the":[3,61,68,72,76,81,94,113,121,128,135,147,156,165,178,181,191,197,209,212,217,220,240,258],"nonidentical":[4,32],"parallel":[5,33,73,96,150],"production":[6,82,109,141,151,235],"line":[7,34,97,110],"scheduling":[8,35,98],"problem":[9],"derived":[10],"from":[11,93],"an":[12,18],"axle":[13,19,24],"housing":[14,25],"machining":[15,26],"workshop":[16],"of":[17,23,71,127,137,146,149,196,211,219,226,246],"manufacturer.":[20],"The":[21,125,253],"characteristics":[22],"lines":[27,74],"are":[28,79,87,205,242],"analyzed,":[29],"and":[30,51,63,84,120,142,193,202,234,239],"a":[31,38,103,161,224],"model":[36,46,78,130,140],"with":[37,180,228,244],"jumping":[39,117],"process":[40,85,118],"operation":[41],"(NPPLS-JP),":[42],"which":[43],"considers":[44],"mixed":[45,139],"production,":[47],"machine":[48],"eligibility":[49],"constraints,":[50],"fuzzy":[52],"due":[53],"dates,":[54],"is":[55,123,131,237],"established":[56],"so":[57],"as":[58],"to":[59,105,107,111,154,189,208],"minimize":[60],"makespan":[62],"earliness/tardiness":[64],"penalty":[65],"cost.":[66],"While":[67],"physical":[69],"structures":[70],"in":[75,264],"NPPLS-JP":[77,100,129,157,213],"symmetric,":[80],"capacities":[83,148],"capabilities":[86],"asymmetric":[88],"for":[89,102],"different":[90,229],"models.":[91],"Different":[92],"general":[95],"problem,":[99,158],"allows":[101],"job":[104,230,232],"transfer":[106,122],"another":[108],"complete":[112],"subsequent":[114],"operations":[115],"(i.e.,":[116],"operations),":[119],"unidirectional.":[124],"significance":[126],"that":[132,257],"it":[133],"meets":[134],"demands":[136],"multivariety":[138],"makes":[143],"full":[144],"use":[145],"lines.":[152],"Aiming":[153],"solve":[155],"we":[159],"propose":[160],"hybrid":[162],"algorithm":[163,176,184,261],"named":[164],"multi-objective":[166,182,250],"grey":[167],"wolf":[168],"optimizer":[169],"based":[170,185],"on":[171,186],"decomposition":[172,187],"(MOGWO/D).":[173],"new":[175],"combines":[177],"GWO":[179],"evolutionary":[183],"(MOEA/D)":[188],"balance":[190],"exploration":[192],"exploitation":[194],"abilities":[195],"original":[198],"MOEA/D.":[199],"Furthermore,":[200],"coding":[201],"decoding":[203],"rules":[204],"developed":[206],"according":[207],"features":[210],"problem.":[214],"To":[215],"evaluate":[216],"effectiveness":[218],"proposed":[221,259],"MOGWO/D":[222,260],"algorithm,":[223],"set":[225],"instances":[227],"scales,":[231],"types,":[233],"scenarios":[236],"designed,":[238],"results":[241,255],"compared":[243],"those":[245],"three":[247],"other":[248],"famous":[249],"optimization":[251],"algorithms.":[252],"experimental":[254],"show":[256],"exhibits":[262],"superiority":[263],"most":[265],"instances.":[266]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
