{"id":"https://openalex.org/W4225397910","doi":"https://doi.org/10.1007/s40747-022-00734-5","title":"Self-adaptive opposition-based differential evolution with subpopulation strategy for numerical and engineering optimization problems","display_name":"Self-adaptive opposition-based differential evolution with subpopulation strategy for numerical and engineering optimization problems","publication_year":2022,"publication_date":"2022-05-04","ids":{"openalex":"https://openalex.org/W4225397910","doi":"https://doi.org/10.1007/s40747-022-00734-5"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-022-00734-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-022-00734-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-022-00734-5.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","license_id":"https://openalex.org/licenses/cc-by","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/s40747-022-00734-5.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040722979","display_name":"Jiahang Li","orcid":"https://orcid.org/0000-0001-7779-365X"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]},{"id":"https://openalex.org/I3019309368","display_name":"North Minzu University","ror":"https://ror.org/05xjevr11","country_code":"CN","type":"education","lineage":["https://openalex.org/I3019309368"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiahang Li","raw_affiliation_strings":["Ningxia Province Key Laboratory of Intelligent Information and Data Processing, Yinchuan, 750021, China","School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ningxia Province Key Laboratory of Intelligent Information and Data Processing, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]},{"raw_affiliation_string":"School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I3019309368"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062392764","display_name":"Yuelin Gao","orcid":"https://orcid.org/0000-0003-2021-2097"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]},{"id":"https://openalex.org/I3019309368","display_name":"North Minzu University","ror":"https://ror.org/05xjevr11","country_code":"CN","type":"education","lineage":["https://openalex.org/I3019309368"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuelin Gao","raw_affiliation_strings":["Ningxia Province Key Laboratory of Intelligent Information and Data Processing, Yinchuan, 750021, China","School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, China"],"raw_orcid":"https://orcid.org/0000-0003-2021-2097","affiliations":[{"raw_affiliation_string":"Ningxia Province Key Laboratory of Intelligent Information and Data Processing, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]},{"raw_affiliation_string":"School of Mathematics and Information Science, North Minzu University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I3019309368"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100438423","display_name":"Hang Zhang","orcid":"https://orcid.org/0000-0001-5019-7209"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]},{"id":"https://openalex.org/I3019309368","display_name":"North Minzu University","ror":"https://ror.org/05xjevr11","country_code":"CN","type":"education","lineage":["https://openalex.org/I3019309368"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hang Zhang","raw_affiliation_strings":["Ningxia Province Key Laboratory of Intelligent Information and Data Processing, Yinchuan, 750021, China","School of Computer Science and Engineering, North Minzu University, Yinchuan, 750021, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ningxia Province Key Laboratory of Intelligent Information and Data Processing, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]},{"raw_affiliation_string":"School of Computer Science and Engineering, North Minzu University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I3019309368"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071741968","display_name":"Qinwen Yang","orcid":"https://orcid.org/0000-0002-6762-1528"},"institutions":[{"id":"https://openalex.org/I21642278","display_name":"Ningxia University","ror":"https://ror.org/04j7b2v61","country_code":"CN","type":"education","lineage":["https://openalex.org/I21642278"]},{"id":"https://openalex.org/I3019309368","display_name":"North Minzu University","ror":"https://ror.org/05xjevr11","country_code":"CN","type":"education","lineage":["https://openalex.org/I3019309368"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qinwen Yang","raw_affiliation_strings":["Ningxia Province Key Laboratory of Intelligent Information and Data Processing, Yinchuan, 750021, China","School of Computer Science and Engineering, North Minzu University, Yinchuan, 750021, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ningxia Province Key Laboratory of Intelligent Information and Data Processing, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I21642278"]},{"raw_affiliation_string":"School of Computer Science and Engineering, North Minzu University, Yinchuan, 750021, China","institution_ids":["https://openalex.org/I3019309368"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040722979"],"corresponding_institution_ids":["https://openalex.org/I21642278","https://openalex.org/I3019309368"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":2.2197,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.89324315,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"8","issue":"3","first_page":"2051","last_page":"2089"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9998000264167786,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9993000030517578,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/differential-evolution","display_name":"Differential evolution","score":0.7526426911354065},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.7073002457618713},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5701209902763367},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5568312406539917},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.552555501461029},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.5297744274139404},{"id":"https://openalex.org/keywords/local-optimum","display_name":"Local optimum","score":0.5295670628547668},{"id":"https://openalex.org/keywords/jumping","display_name":"Jumping","score":0.4994349479675293},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.4707173705101013},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4137211740016937},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3928203284740448},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.34737712144851685},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.16665473580360413},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.07216471433639526}],"concepts":[{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.7526426911354065},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7073002457618713},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5701209902763367},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5568312406539917},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.552555501461029},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5297744274139404},{"id":"https://openalex.org/C141934464","wikidata":"https://www.wikidata.org/wiki/Q3305386","display_name":"Local optimum","level":2,"score":0.5295670628547668},{"id":"https://openalex.org/C2779897013","wikidata":"https://www.wikidata.org/wiki/Q1151752","display_name":"Jumping","level":2,"score":0.4994349479675293},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.4707173705101013},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4137211740016937},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3928203284740448},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.34737712144851685},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.16665473580360413},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.07216471433639526},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C42407357","wikidata":"https://www.wikidata.org/wiki/Q521","display_name":"Physiology","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40747-022-00734-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-022-00734-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-022-00734-5.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","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex &amp; Intelligent Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s40747-022-00734-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s40747-022-00734-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-022-00734-5.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","license_id":"https://openalex.org/licenses/cc-by","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/G4622408492","display_name":null,"funder_award_id":"61561001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7831544247","display_name":null,"funder_award_id":"YCX21152","funder_id":"https://openalex.org/F4320335884","funder_display_name":"Graduate Innovation Project of North Minzu University"},{"id":"https://openalex.org/G7917199158","display_name":null,"funder_award_id":"11961001,61561001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7951436902","display_name":null,"funder_award_id":"11961001","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/F4320335884","display_name":"Graduate Innovation Project of North Minzu University","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4225397910.pdf","grobid_xml":"https://content.openalex.org/works/W4225397910.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W1485070158","https://openalex.org/W1487136126","https://openalex.org/W1578459922","https://openalex.org/W1595159159","https://openalex.org/W1834439319","https://openalex.org/W1987012246","https://openalex.org/W1996975730","https://openalex.org/W2035658556","https://openalex.org/W2042253843","https://openalex.org/W2043843374","https://openalex.org/W2096166399","https://openalex.org/W2097371715","https://openalex.org/W2122016301","https://openalex.org/W2123682012","https://openalex.org/W2144051602","https://openalex.org/W2144573902","https://openalex.org/W2155370091","https://openalex.org/W2155529731","https://openalex.org/W2156194072","https://openalex.org/W2157833270","https://openalex.org/W2162745921","https://openalex.org/W2165106339","https://openalex.org/W2165466912","https://openalex.org/W2166468351","https://openalex.org/W2310612427","https://openalex.org/W2557923043","https://openalex.org/W2558097110","https://openalex.org/W2558205193","https://openalex.org/W2726849102","https://openalex.org/W2729414995","https://openalex.org/W2732171826","https://openalex.org/W2760225670","https://openalex.org/W2886667264","https://openalex.org/W2897301007","https://openalex.org/W2897728985","https://openalex.org/W2921793854","https://openalex.org/W2934819789","https://openalex.org/W2943528199","https://openalex.org/W2961614712","https://openalex.org/W2981874965","https://openalex.org/W3015290284","https://openalex.org/W3046319801","https://openalex.org/W3046470293","https://openalex.org/W3083112738","https://openalex.org/W3084410616","https://openalex.org/W3120123685","https://openalex.org/W3159271217","https://openalex.org/W3179545308","https://openalex.org/W3186079023","https://openalex.org/W3194900365"],"related_works":["https://openalex.org/W2371448224","https://openalex.org/W3134495997","https://openalex.org/W2363680170","https://openalex.org/W648845647","https://openalex.org/W2376428685","https://openalex.org/W2381882558","https://openalex.org/W2090436135","https://openalex.org/W2161410550","https://openalex.org/W2125994025","https://openalex.org/W2378600890"],"abstract_inverted_index":{"Abstract":[0],"Opposition-based":[1],"differential":[2],"evolution":[3],"(ODE)":[4],"is":[5,37,91,123],"a":[6,66,74],"well-known":[7],"DE":[8,135,138],"variant":[9],"that":[10],"employs":[11],"opposition-based":[12],"learning":[13],"(OBL)":[14],"to":[15,59,94,125,143,167],"accelerate":[16],"the":[17,21,34,42,56,81,86,89,95,100,105,116,153],"convergence":[18],"speed.":[19],"However,":[20],"existing":[22],"OBL":[23,51,68,71,169],"variants":[24,139,170],"are":[25,150],"population-based,":[26],"which":[27],"causes":[28],"many":[29],"shortcomings.":[30],"The":[31,49,146,161],"value":[32],"of":[33,148,173],"jumping":[35,82,97,108],"rate":[36,83,109],"not":[38],"self-adaptively":[39],"adjusted,":[40],"so":[41],"algorithm":[43,57],"easily":[44],"traps":[45],"into":[46],"local":[47],"optima.":[48],"population-based":[50],"wastes":[52],"fitness":[53],"evaluations":[54],"when":[55],"converges":[58],"sub-optimal.":[60],"In":[61,79,99],"this":[62],"paper,":[63],"we":[64],"proposed":[65],"novel":[67],"called":[69],"subpopulation-based":[70],"(SPOBL)":[72],"with":[73,141],"self-adaptive":[75,101,117],"parameter":[76,102],"control":[77,103],"strategy.":[78],"SPOBL,":[80],"acts":[84],"on":[85,152],"individual,":[87],"and":[88,131,136,156],"subpopulation":[90],"selected":[92],"according":[93],"individual\u2019s":[96,107],"rate.":[98],"strategy,":[104],"surviving":[106],"in":[110,115,171],"each":[111],"iteration":[112],"will":[113],"participate":[114],"process.":[118],"A":[119],"generalized":[120],"Lehmer":[121],"mean":[122],"introduced":[124],"achieve":[126],"an":[127],"equilibrium":[128],"between":[129],"exploration":[130],"exploitation.":[132],"We":[133],"used":[134],"advanced":[137],"combined":[140],"SPOBL":[142,162],"verify":[144],"performance.":[145],"results":[147],"performance":[149,165],"evaluated":[151],"CEC":[154,157],"2017":[155],"2020":[158],"test":[159],"suites.":[160],"shows":[163],"better":[164],"compared":[166],"other":[168],"terms":[172],"benchmark":[174],"functions":[175],"as":[176,178],"well":[177],"real-world":[179],"constrained":[180],"optimization":[181],"problems.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-24T08:23:43.765630","created_date":"2025-10-10T00:00:00"}
