{"id":"https://openalex.org/W4411383112","doi":"https://doi.org/10.1007/s40747-025-01954-1","title":"A corrective direction particle swarm optimization for large-scale multi-objective optimization","display_name":"A corrective direction particle swarm optimization for large-scale multi-objective optimization","publication_year":2025,"publication_date":"2025-06-17","ids":{"openalex":"https://openalex.org/W4411383112","doi":"https://doi.org/10.1007/s40747-025-01954-1"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-025-01954-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-01954-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-01954-1.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-01954-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100726332","display_name":"Weichao Chen","orcid":"https://orcid.org/0000-0002-7226-7885"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weichao Chen","raw_affiliation_strings":["School of Software, Xinjiang University, 499 Northwest Road, Urumqi, 830091, China"],"affiliations":[{"raw_affiliation_string":"School of Software, Xinjiang University, 499 Northwest Road, Urumqi, 830091, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100422866","display_name":"Ziyang Li","orcid":"https://orcid.org/0009-0001-3084-1308"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziyang Li","raw_affiliation_strings":["School of Software, Xinjiang University, 499 Northwest Road, Urumqi, 830091, China"],"affiliations":[{"raw_affiliation_string":"School of Software, Xinjiang University, 499 Northwest Road, Urumqi, 830091, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100372201","display_name":"Xue Li","orcid":"https://orcid.org/0000-0002-4515-6792"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xue Li","raw_affiliation_strings":["School of Computer Science and Technology, Xinjiang University, 777 Huarui Street, Urumqi, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Xinjiang University, 777 Huarui Street, Urumqi, China","institution_ids":["https://openalex.org/I96908189"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100726332"],"corresponding_institution_ids":["https://openalex.org/I96908189"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":1.348,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.8303353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"11","issue":"8","first_page":null,"last_page":null},"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":0.9995999932289124,"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":0.9861000180244446,"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/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.8020848035812378},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.7181226015090942},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.589470386505127},{"id":"https://openalex.org/keywords/swarm-intelligence","display_name":"Swarm intelligence","score":0.5409250259399414},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5298036336898804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5223297476768494},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45207101106643677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24779647588729858},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23090031743049622},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1784718632698059}],"concepts":[{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.8020848035812378},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.7181226015090942},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.589470386505127},{"id":"https://openalex.org/C119487961","wikidata":"https://www.wikidata.org/wiki/Q863960","display_name":"Swarm intelligence","level":3,"score":0.5409250259399414},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5298036336898804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5223297476768494},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45207101106643677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24779647588729858},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23090031743049622},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1784718632698059},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40747-025-01954-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-01954-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-01954-1.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3ad7f6e564c04642ad43c23ebdd552e2","is_oa":true,"landing_page_url":"https://doaj.org/article/3ad7f6e564c04642ad43c23ebdd552e2","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex & Intelligent Systems, Vol 11, Iss 8, Pp 1-31 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-025-01954-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-025-01954-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-025-01954-1.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6166634064","display_name":null,"funder_award_id":"62466057,","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G642078274","display_name":null,"funder_award_id":"62466057","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8624906418","display_name":null,"funder_award_id":"62262064","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/F4320328898","display_name":"Natural Science Foundation of Xinjiang","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411383112.pdf","grobid_xml":"https://content.openalex.org/works/W4411383112.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W1524047196","https://openalex.org/W1917783161","https://openalex.org/W1967157470","https://openalex.org/W1968535060","https://openalex.org/W1971537182","https://openalex.org/W1995972800","https://openalex.org/W2020320008","https://openalex.org/W2067544246","https://openalex.org/W2086743688","https://openalex.org/W2087812386","https://openalex.org/W2107845038","https://openalex.org/W2112299196","https://openalex.org/W2112912151","https://openalex.org/W2119601963","https://openalex.org/W2121429049","https://openalex.org/W2126105956","https://openalex.org/W2128357515","https://openalex.org/W2143245714","https://openalex.org/W2145418868","https://openalex.org/W2152195021","https://openalex.org/W2153654820","https://openalex.org/W2158591074","https://openalex.org/W2329749247","https://openalex.org/W2510493362","https://openalex.org/W2513211214","https://openalex.org/W2513770613","https://openalex.org/W2558118859","https://openalex.org/W2738689687","https://openalex.org/W2764251381","https://openalex.org/W2766133347","https://openalex.org/W2852353999","https://openalex.org/W2901579871","https://openalex.org/W2914542742","https://openalex.org/W2932748297","https://openalex.org/W2996097017","https://openalex.org/W2999124658","https://openalex.org/W3002387451","https://openalex.org/W3011505908","https://openalex.org/W3013056622","https://openalex.org/W3041654307","https://openalex.org/W3119965053","https://openalex.org/W3134440233","https://openalex.org/W3194886076","https://openalex.org/W3201929238","https://openalex.org/W3205533894","https://openalex.org/W3214943660","https://openalex.org/W4205248652","https://openalex.org/W4214818918","https://openalex.org/W4288069922","https://openalex.org/W4294877974","https://openalex.org/W4312501469","https://openalex.org/W4362724099","https://openalex.org/W4385813374","https://openalex.org/W4391721426","https://openalex.org/W4401588457"],"related_works":["https://openalex.org/W2006324351","https://openalex.org/W2965421953","https://openalex.org/W2349895019","https://openalex.org/W2116074880","https://openalex.org/W2950423922","https://openalex.org/W2121780490","https://openalex.org/W2137136732","https://openalex.org/W2972744589","https://openalex.org/W2132113279","https://openalex.org/W2070977815"],"abstract_inverted_index":{"In":[0],"multi-objective":[1,45],"optimization,":[2],"Large-Scale":[3],"Multi-Objective":[4],"Optimization":[5,39],"Problems":[6],"(LSMOPs)":[7],"involve":[8],"a":[9,24,34,76,110],"large":[10],"number":[11,26],"of":[12,27,53,60,64,127],"decision":[13,69,88,129],"variables":[14,130],"and":[15,131,169],"present":[16],"significant":[17],"challenges":[18],"in":[19,47,67,86,137],"finding":[20],"satisfactory":[21],"results":[22,147],"with":[23,94],"limited":[25],"function":[28],"evaluations.":[29],"To":[30],"address":[31],"this":[32,48],"issue,":[33],"Corrective":[35],"Direction":[36],"Particle":[37],"Swarm":[38],"(CDPSO)":[40],"is":[41,55,81,114],"proposed":[42,151],"for":[43],"large-scale":[44],"optimization":[46],"paper.":[49],"The":[50],"core":[51],"idea":[52],"CDPSO":[54,152],"to":[56,71,90,103,140,157],"maintain":[57],"the":[58,61,65,68,87,95,100,105,117,122,128,134,142,158],"correctness":[59],"search":[62],"direction":[63],"particles":[66,85,93],"space":[70,89],"improve":[72],"convergence":[73],"speed.":[74],"Specifically,":[75],"competitive":[77],"learning":[78],"strategy":[79],"that":[80,149],"employed":[82],"by":[83,116],"normal":[84],"select":[91],"elite":[92,118],"smallest":[96],"directional":[97],"deviation":[98],"improves":[99],"population\u2019s":[101],"ability":[102],"discover":[104],"Pareto":[106],"optimal":[107],"solutions.":[108],"Moreover,":[109],"novel":[111],"exploration":[112,123],"mechanism":[113],"used":[115],"particles,":[119],"which":[120],"spreads":[121],"across":[124],"each":[125,138],"dimension":[126,139],"adaptively":[132],"adjusts":[133],"velocity":[135],"components":[136],"enhance":[141],"algorithm\u2019s":[143],"performance":[144],"further.":[145],"Experimental":[146],"show":[148],"our":[150],"exhibits":[153],"strong":[154],"competitiveness":[155],"compared":[156],"other":[159],"nine":[160],"state-of-the-art":[161],"algorithms":[162],"when":[163],"tested":[164],"on":[165],"both":[166],"benchmark":[167],"problems":[168],"real-world":[170],"problems.":[171]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
