{"id":"https://openalex.org/W3033451330","doi":"https://doi.org/10.1109/access.2020.2999417","title":"A Decomposition Method Based on Random Objective Division for MOEA/D in Many-Objective Optimization","display_name":"A Decomposition Method Based on Random Objective Division for MOEA/D in Many-Objective Optimization","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3033451330","doi":"https://doi.org/10.1109/access.2020.2999417","mag":"3033451330"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.2999417","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2999417","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09106348.pdf","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://ieeexplore.ieee.org/ielx7/6287639/8948470/09106348.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101835115","display_name":"Xue Lu","orcid":"https://orcid.org/0000-0001-8084-4892"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xue Lu","raw_affiliation_strings":["School of Information Science and Engineering, Shandong Normal University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046523518","display_name":"Yanyan Tan","orcid":"https://orcid.org/0000-0001-5056-6019"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanyan Tan","raw_affiliation_strings":["Institute of Data Science and Technology, Shandong Normal University, Jinan, China","School of Information Science and Engineering, Shandong Normal University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"Institute of Data Science and Technology, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]},{"raw_affiliation_string":"School of Information Science and Engineering, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100763402","display_name":"Wei Zheng","orcid":"https://orcid.org/0000-0002-5471-7328"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Zheng","raw_affiliation_strings":["School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, China","School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi\u2019an Jiaotong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019708746","display_name":"Lili Meng","orcid":"https://orcid.org/0000-0003-3882-3582"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lili Meng","raw_affiliation_strings":["Institute of Data Science and Technology, Shandong Normal University, Jinan, China","School of Information Science and Engineering, Shandong Normal University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"Institute of Data Science and Technology, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]},{"raw_affiliation_string":"School of Information Science and Engineering, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101835115"],"corresponding_institution_ids":["https://openalex.org/I28006308"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.7226,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76445168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"8","issue":null,"first_page":"103550","last_page":"103564"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11115","display_name":"Topology Optimization in Engineering","score":0.9909999966621399,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/decomposition","display_name":"Decomposition","score":0.7925029993057251},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6775215268135071},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.6664634943008423},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.6444176435470581},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6360531449317932},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5488142371177673},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5334669947624207},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5009090900421143},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.4955252408981323},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.48902449011802673},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33851349353790283},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15401169657707214},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06162339448928833}],"concepts":[{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.7925029993057251},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6775215268135071},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.6664634943008423},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.6444176435470581},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6360531449317932},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5488142371177673},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5334669947624207},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5009090900421143},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.4955252408981323},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.48902449011802673},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33851349353790283},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15401169657707214},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06162339448928833},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.2999417","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2999417","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09106348.pdf","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:07d39e560975473aa7866d4c73d1d55f","is_oa":true,"landing_page_url":"https://doaj.org/article/07d39e560975473aa7866d4c73d1d55f","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":"IEEE Access, Vol 8, Pp 103550-103564 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.2999417","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2999417","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09106348.pdf","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":[],"awards":[{"id":"https://openalex.org/G1023919524","display_name":null,"funder_award_id":", Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1763743730","display_name":null,"funder_award_id":"U1836216","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2702356746","display_name":null,"funder_award_id":"61702","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3117759162","display_name":null,"funder_award_id":"ZR2019ZD03","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6945103131","display_name":null,"funder_award_id":"61702310","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7009357455","display_name":null,"funder_award_id":"61772322","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8955107213","display_name":null,"funder_award_id":"Major","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/F4320326189","display_name":"Taishan Scholar Project of Shandong Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3033451330.pdf","grobid_xml":"https://content.openalex.org/works/W3033451330.grobid-xml"},"referenced_works_count":67,"referenced_works":["https://openalex.org/W124905757","https://openalex.org/W760913798","https://openalex.org/W1525375343","https://openalex.org/W1662894842","https://openalex.org/W1846834309","https://openalex.org/W1976159118","https://openalex.org/W2022485595","https://openalex.org/W2023685757","https://openalex.org/W2025822274","https://openalex.org/W2027353299","https://openalex.org/W2038420231","https://openalex.org/W2048469132","https://openalex.org/W2049862811","https://openalex.org/W2058142975","https://openalex.org/W2059819407","https://openalex.org/W2067544246","https://openalex.org/W2072661909","https://openalex.org/W2089149855","https://openalex.org/W2098907614","https://openalex.org/W2102365077","https://openalex.org/W2103476212","https://openalex.org/W2105781771","https://openalex.org/W2108968575","https://openalex.org/W2118840131","https://openalex.org/W2125899728","https://openalex.org/W2128357515","https://openalex.org/W2134152443","https://openalex.org/W2135974394","https://openalex.org/W2143185749","https://openalex.org/W2143381319","https://openalex.org/W2148933727","https://openalex.org/W2150046657","https://openalex.org/W2167159964","https://openalex.org/W2312339748","https://openalex.org/W2326149522","https://openalex.org/W2343601797","https://openalex.org/W2466060750","https://openalex.org/W2469950730","https://openalex.org/W2511789913","https://openalex.org/W2519112510","https://openalex.org/W2557786635","https://openalex.org/W2563621803","https://openalex.org/W2570235502","https://openalex.org/W2583922715","https://openalex.org/W2594344284","https://openalex.org/W2594575977","https://openalex.org/W2604945436","https://openalex.org/W2607407907","https://openalex.org/W2757211111","https://openalex.org/W2785673388","https://openalex.org/W2793188406","https://openalex.org/W2794024623","https://openalex.org/W2797880127","https://openalex.org/W2808807389","https://openalex.org/W2904503394","https://openalex.org/W2906148503","https://openalex.org/W2942487723","https://openalex.org/W2962800945","https://openalex.org/W2968710052","https://openalex.org/W2979899262","https://openalex.org/W2985785585","https://openalex.org/W2990741757","https://openalex.org/W6662510857","https://openalex.org/W6675878492","https://openalex.org/W6684212943","https://openalex.org/W6726862083","https://openalex.org/W6736097594"],"related_works":["https://openalex.org/W2751605210","https://openalex.org/W2977596624","https://openalex.org/W2145877535","https://openalex.org/W2744730182","https://openalex.org/W3151104768","https://openalex.org/W2419109832","https://openalex.org/W2068949283","https://openalex.org/W2891428731","https://openalex.org/W1967262321","https://openalex.org/W2022485595"],"abstract_inverted_index":{"With":[0],"the":[1,7,14,73,96,105,130,143,146],"number":[2,131],"increase":[3],"of":[4,16,104,109,117,132,145],"optimization":[5,83,155],"objectives,":[6],"selection":[8],"pressure":[9],"begins":[10],"to":[11,77,99],"decrease,":[12],"and":[13,102,124,137],"performance":[15],"multi-objective":[17,66,70],"evolutionary":[18],"algorithms":[19],"becomes":[20],"gradually":[21],"inefficient.":[22],"A":[23],"decomposition":[24,47,75,90,149],"method":[25,59,76,150],"based":[26],"on":[27,114],"random":[28,56],"objective":[29,57],"division":[30],"(ROD)":[31],"is":[32],"proposed":[33,147],"in":[34,151],"this":[35],"paper":[36],"for":[37,50,85],"MOEA/D":[38,44],"optimizing":[39],"many-objective":[40,62,154],"problems.":[41,67,156],"We":[42],"abbreviate":[43],"using":[45],"ROD":[46,148],"as":[48],"MOEA/D-ROD":[49,53],"easy":[51],"expression.":[52],"adopts":[54],"a":[55,61],"partitioning":[58],"transforming":[60],"problem":[63,71],"into":[64,80],"multiple":[65,81],"Furthermore,":[68],"each":[69],"utilizes":[72],"assigned":[74],"transform":[78],"itself":[79],"single-objective":[82],"problems":[84,119],"collaborative":[86],"optimization.":[87],"Therefore,":[88],"different":[89],"methods":[91],"can":[92],"be":[93],"combined":[94],"at":[95],"same":[97],"time":[98],"balance":[100],"diversity":[101],"convergence":[103],"algorithm.":[106],"Three":[107],"sets":[108,116],"experiments":[110],"are":[111],"carried":[112],"out":[113],"two":[115],"scalable":[118],"DTLZ":[120],"1":[121,126],"-":[122,127],"4":[123],"WFG":[125],"9,":[128],"with":[129],"objectives":[133],"from":[134],"3-8,":[135],"10":[136],"15.":[138],"The":[139],"experimental":[140],"results":[141],"verify":[142],"effectiveness":[144],"solving":[152],"those":[153]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}