{"id":"https://openalex.org/W2769744156","doi":"https://doi.org/10.1109/tevc.2017.2778089","title":"A Recursive Decomposition Method for Large Scale Continuous Optimization","display_name":"A Recursive Decomposition Method for Large Scale Continuous Optimization","publication_year":2017,"publication_date":"2017-11-28","ids":{"openalex":"https://openalex.org/W2769744156","doi":"https://doi.org/10.1109/tevc.2017.2778089","mag":"2769744156"},"language":"en","primary_location":{"id":"doi:10.1109/tevc.2017.2778089","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2017.2778089","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://openresearch-repository.anu.edu.au/bitstreams/6aa1cbb3-1ad1-41ec-aee2-8f1ec1f47b98/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048746096","display_name":"Yuan Sun","orcid":"https://orcid.org/0000-0003-2911-0070"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Yuan Sun","raw_affiliation_strings":["Department of Mechanical Engineering, University of Melbourne, Parkville, VIC, Australia"],"raw_orcid":"https://orcid.org/0000-0003-2911-0070","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Melbourne, Parkville, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025856575","display_name":"Michael Kirley","orcid":null},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Michael Kirley","raw_affiliation_strings":["Department of Computing and Information Systems, University of Melbourne, Parkville, VIC, Australia"],"raw_orcid":"https://orcid.org/0000-0002-6030-858X","affiliations":[{"raw_affiliation_string":"Department of Computing and Information Systems, University of Melbourne, Parkville, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067418792","display_name":"Saman Halgamuge","orcid":"https://orcid.org/0000-0002-2536-4930"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Saman K. Halgamuge","raw_affiliation_strings":["Research School of Engineering, Australian National University, Canberra, ACT, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research School of Engineering, Australian National University, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048746096"],"corresponding_institution_ids":["https://openalex.org/I165779595"],"apc_list":null,"apc_paid":null,"fwci":12.6944,"has_fulltext":true,"cited_by_count":205,"citation_normalized_percentile":{"value":0.98872608,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"22","issue":"5","first_page":"647","last_page":"661"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9983999729156494,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9973999857902527,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6457674503326416},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.6420757174491882},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6203051805496216},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6171064376831055},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.6021735072135925},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.5493790507316589},{"id":"https://openalex.org/keywords/evolutionary-computation","display_name":"Evolutionary computation","score":0.48856815695762634},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.48244792222976685},{"id":"https://openalex.org/keywords/divide-and-conquer-algorithms","display_name":"Divide and conquer algorithms","score":0.47346487641334534},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.47234809398651123},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45212626457214355},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28001245856285095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27651822566986084},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21339541673660278}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6457674503326416},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6420757174491882},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6203051805496216},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6171064376831055},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6021735072135925},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.5493790507316589},{"id":"https://openalex.org/C105902424","wikidata":"https://www.wikidata.org/wiki/Q1197129","display_name":"Evolutionary computation","level":2,"score":0.48856815695762634},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.48244792222976685},{"id":"https://openalex.org/C71559656","wikidata":"https://www.wikidata.org/wiki/Q671298","display_name":"Divide and conquer algorithms","level":2,"score":0.47346487641334534},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.47234809398651123},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45212626457214355},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28001245856285095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27651822566986084},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21339541673660278},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tevc.2017.2778089","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tevc.2017.2778089","pdf_url":null,"source":{"id":"https://openalex.org/S93787993","display_name":"IEEE Transactions on Evolutionary Computation","issn_l":"1089-778X","issn":["1089-778X","1941-0026"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"journal-article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/210110","is_oa":true,"landing_page_url":"http://hdl.handle.net/1885/210110","pdf_url":"https://openresearch-repository.anu.edu.au/bitstreams/6aa1cbb3-1ad1-41ec-aee2-8f1ec1f47b98/download","source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"Journal article"}],"best_oa_location":{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/210110","is_oa":true,"landing_page_url":"http://hdl.handle.net/1885/210110","pdf_url":"https://openresearch-repository.anu.edu.au/bitstreams/6aa1cbb3-1ad1-41ec-aee2-8f1ec1f47b98/download","source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Evolutionary Computation","raw_type":"Journal article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.5400000214576721,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2769744156.pdf","grobid_xml":"https://content.openalex.org/works/W2769744156.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W120185646","https://openalex.org/W1227486161","https://openalex.org/W1516742461","https://openalex.org/W1555689267","https://openalex.org/W1564629471","https://openalex.org/W1983947028","https://openalex.org/W1994019844","https://openalex.org/W1995972800","https://openalex.org/W1996673440","https://openalex.org/W1996936486","https://openalex.org/W2008560584","https://openalex.org/W2009543464","https://openalex.org/W2013497292","https://openalex.org/W2018980645","https://openalex.org/W2030347721","https://openalex.org/W2045050140","https://openalex.org/W2059031774","https://openalex.org/W2060515128","https://openalex.org/W2061706483","https://openalex.org/W2069816717","https://openalex.org/W2071121892","https://openalex.org/W2078702416","https://openalex.org/W2081524587","https://openalex.org/W2083206808","https://openalex.org/W2085821381","https://openalex.org/W2099629311","https://openalex.org/W2099655666","https://openalex.org/W2102831150","https://openalex.org/W2109472859","https://openalex.org/W2118840131","https://openalex.org/W2121429049","https://openalex.org/W2138002307","https://openalex.org/W2140491475","https://openalex.org/W2144027346","https://openalex.org/W2145418868","https://openalex.org/W2147573707","https://openalex.org/W2155005783","https://openalex.org/W2155370091","https://openalex.org/W2156566884","https://openalex.org/W2158597998","https://openalex.org/W2163286715","https://openalex.org/W2269275143","https://openalex.org/W2269421492","https://openalex.org/W2282367531","https://openalex.org/W2336687883","https://openalex.org/W2413634576","https://openalex.org/W2517173125","https://openalex.org/W2551895069","https://openalex.org/W2554924637","https://openalex.org/W2562277660","https://openalex.org/W2608705546","https://openalex.org/W2916083864","https://openalex.org/W4293857795","https://openalex.org/W4324106947","https://openalex.org/W6702989015","https://openalex.org/W6759375221"],"related_works":["https://openalex.org/W4247094814","https://openalex.org/W2352794675","https://openalex.org/W2487162673","https://openalex.org/W108531593","https://openalex.org/W2942366970","https://openalex.org/W8810113","https://openalex.org/W2793211469","https://openalex.org/W2158636562","https://openalex.org/W2949152769","https://openalex.org/W2100219256"],"abstract_inverted_index":{"Cooperative":[0],"co-evolution":[1],"(CC)":[2],"is":[3],"an":[4],"evolutionary":[5],"computation":[6],"framework":[7,28],"that":[8,112,147],"can":[9,114],"be":[10,115],"used":[11,116],"to":[12,37,41,110,117],"solve":[13],"high-dimensional":[14],"optimization":[15,141,171],"problems":[16],"via":[17],"a":[18,42,61,89,120,167],"\u201cdivide-and-conquer\u201d":[19],"mechanism.":[20],"However,":[21],"the":[22,74,86,94,103,131,134,151,170],"main":[23],"challenge":[24],"when":[25,162],"using":[26,137],"this":[27,57],"lies":[29],"in":[30,156,166],"problem":[31,154],"decomposition.":[32],"That":[33],"is,":[34],"deciding":[35],"how":[36],"allocate":[38],"decision":[39,47,77,91,100],"variables":[40,78,101],"particular":[43],"subproblem,":[44],"especially":[45],"interacting":[46,99],"variables.":[48],"Existing":[49],"decomposition":[50,63,155,180],"methods":[51,109],"are":[52],"typically":[53],"computationally":[54],"expensive.":[55],"In":[56],"paper,":[58],"we":[59,66],"propose":[60],"new":[62],"method,":[64],"which":[65],"call":[67],"recursive":[68],"differential":[69],"grouping":[70],"(RDG),":[71],"by":[72],"considering":[73],"interaction":[75,87],"between":[76,88],"based":[79],"on":[80],"nonlinearity":[81],"detection.":[82],"RDG":[83,113,135,148,163],"recursively":[84],"examines":[85],"selected":[90],"variable":[92,127],"and":[93],"remaining":[95],"variables,":[96],"placing":[97],"all":[98,125],"into":[102],"same":[104],"subproblem.":[105],"We":[106,129],"use":[107],"analytical":[108],"show":[111],"efficiently":[118],"decompose":[119],"problem,":[121],"without":[122],"explicitly":[123],"examining":[124],"pairwise":[126],"interactions.":[128],"evaluated":[130],"efficacy":[132],"of":[133,153,158],"method":[136],"large":[138],"scale":[139],"benchmark":[140],"problems.":[142],"Numerical":[143],"simulation":[144],"experiments":[145],"showed":[146],"greatly":[149],"improved":[150],"efficiency":[152],"terms":[157],"time":[159],"complexity.":[160],"Significantly,":[161],"was":[164],"embedded":[165],"CC":[168],"framework,":[169],"results":[172,176],"were":[173],"better":[174],"than":[175],"from":[177],"seven":[178],"other":[179],"methods.":[181]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":24},{"year":2024,"cited_by_count":22},{"year":2023,"cited_by_count":35},{"year":2022,"cited_by_count":39},{"year":2021,"cited_by_count":22},{"year":2020,"cited_by_count":26},{"year":2019,"cited_by_count":24},{"year":2018,"cited_by_count":11}],"updated_date":"2026-05-28T09:10:13.091523","created_date":"2025-10-10T00:00:00"}