{"id":"https://openalex.org/W4402664288","doi":"https://doi.org/10.3390/axioms13090644","title":"An Improved MOEA/D with an Auction-Based Matching Mechanism","display_name":"An Improved MOEA/D with an Auction-Based Matching Mechanism","publication_year":2024,"publication_date":"2024-09-20","ids":{"openalex":"https://openalex.org/W4402664288","doi":"https://doi.org/10.3390/axioms13090644"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13090644","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13090644","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms13090644","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055426416","display_name":"Guangjian Li","orcid":null},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangjian Li","raw_affiliation_strings":["Air Defense and Anti-Missile School, Air Force Engineering University, Xi\u2019an 710051, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Air Defense and Anti-Missile School, Air Force Engineering University, Xi\u2019an 710051, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101988861","display_name":"Mingfa Zheng","orcid":"https://orcid.org/0000-0003-4743-1636"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingfa Zheng","raw_affiliation_strings":["Fundamentals Department, Air Force Engineering University, Xi\u2019an 710051, China"],"raw_orcid":"https://orcid.org/0000-0003-4743-1636","affiliations":[{"raw_affiliation_string":"Fundamentals Department, Air Force Engineering University, Xi\u2019an 710051, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102849572","display_name":"Guangjun He","orcid":"https://orcid.org/0000-0001-9868-8840"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangjun He","raw_affiliation_strings":["Air Defense and Anti-Missile School, Air Force Engineering University, Xi\u2019an 710051, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Air Defense and Anti-Missile School, Air Force Engineering University, Xi\u2019an 710051, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107955304","display_name":"Yu Mei","orcid":"https://orcid.org/0000-0001-9359-2735"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Mei","raw_affiliation_strings":["Fundamentals Department, Air Force Engineering University, Xi\u2019an 710051, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fundamentals Department, Air Force Engineering University, Xi\u2019an 710051, China","institution_ids":["https://openalex.org/I4210104252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048398302","display_name":"Gaoji Sun","orcid":"https://orcid.org/0000-0003-2952-7378"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gaoji Sun","raw_affiliation_strings":["College of Economics and Management, Zhejiang Normal University, Jinhua 321004, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Economics and Management, Zhejiang Normal University, Jinhua 321004, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007557248","display_name":"Haitao Zhong","orcid":"https://orcid.org/0000-0002-3629-1810"},"institutions":[{"id":"https://openalex.org/I4210104252","display_name":"Air Force Engineering University","ror":"https://ror.org/00seraz22","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210104252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haitao Zhong","raw_affiliation_strings":["Fundamentals Department, Air Force Engineering University, Xi\u2019an 710051, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fundamentals Department, Air Force Engineering University, Xi\u2019an 710051, China","institution_ids":["https://openalex.org/I4210104252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.9614,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78559595,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"13","issue":"9","first_page":"644","last_page":"644"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9916999936103821,"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":0.9916999936103821,"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/T11182","display_name":"Auction Theory and Applications","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9835000038146973,"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/matching","display_name":"Matching (statistics)","score":0.6156740188598633},{"id":"https://openalex.org/keywords/mechanism","display_name":"Mechanism (biology)","score":0.5891728401184082},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48638060688972473},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.44263955950737},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26624026894569397},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13361743092536926},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06351086497306824}],"concepts":[{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6156740188598633},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.5891728401184082},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48638060688972473},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.44263955950737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26624026894569397},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13361743092536926},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06351086497306824},{"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:10.3390/axioms13090644","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13090644","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:d28e9119a30e4515b863d51df27fe520","is_oa":false,"landing_page_url":"https://doaj.org/article/d28e9119a30e4515b863d51df27fe520","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 9, p 644 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13090644","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13090644","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"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":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":73,"referenced_works":["https://openalex.org/W225560312","https://openalex.org/W1488578987","https://openalex.org/W1585939719","https://openalex.org/W1662894842","https://openalex.org/W1857789879","https://openalex.org/W2008499862","https://openalex.org/W2009070933","https://openalex.org/W2011048370","https://openalex.org/W2017299308","https://openalex.org/W2022485595","https://openalex.org/W2023685757","https://openalex.org/W2024008934","https://openalex.org/W2046725771","https://openalex.org/W2062061003","https://openalex.org/W2102625537","https://openalex.org/W2108968575","https://openalex.org/W2112912151","https://openalex.org/W2123908614","https://openalex.org/W2126105956","https://openalex.org/W2143185749","https://openalex.org/W2143381319","https://openalex.org/W2155345556","https://openalex.org/W2283268937","https://openalex.org/W2287363374","https://openalex.org/W2312339748","https://openalex.org/W2326149522","https://openalex.org/W2342632173","https://openalex.org/W2343601797","https://openalex.org/W2344916885","https://openalex.org/W2409897564","https://openalex.org/W2511789913","https://openalex.org/W2567327143","https://openalex.org/W2582096828","https://openalex.org/W2588868245","https://openalex.org/W2609579687","https://openalex.org/W2623085198","https://openalex.org/W2735649024","https://openalex.org/W2746947413","https://openalex.org/W2751605210","https://openalex.org/W2764251381","https://openalex.org/W2808807389","https://openalex.org/W2885621413","https://openalex.org/W2886143841","https://openalex.org/W2898121080","https://openalex.org/W2947517374","https://openalex.org/W2953848868","https://openalex.org/W2963586865","https://openalex.org/W2998819822","https://openalex.org/W3007598561","https://openalex.org/W3025152076","https://openalex.org/W3083093644","https://openalex.org/W3097555767","https://openalex.org/W3100378932","https://openalex.org/W3127394083","https://openalex.org/W3199597886","https://openalex.org/W4210546009","https://openalex.org/W4223642077","https://openalex.org/W4298148284","https://openalex.org/W4308358036","https://openalex.org/W4308527739","https://openalex.org/W4317107207","https://openalex.org/W4366124358","https://openalex.org/W4378469594","https://openalex.org/W4383220102","https://openalex.org/W4387297925","https://openalex.org/W4388366516","https://openalex.org/W4401647021","https://openalex.org/W6629395819","https://openalex.org/W6635097213","https://openalex.org/W6653164080","https://openalex.org/W6656474051","https://openalex.org/W6765098589","https://openalex.org/W6789622548"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052","https://openalex.org/W2382997850","https://openalex.org/W2382290278"],"abstract_inverted_index":{"Multi-objective":[0],"optimization":[1,13],"problems":[2,185],"(MOPs)":[3],"constitute":[4],"a":[5,26,29,46,112,142],"vital":[6],"component":[7],"in":[8,45,96,111,120,199],"the":[9,36,58,66,93,99,117,130,136,151,155,159,165,169,195,200,210,213,219,223],"field":[10],"of":[11,31,68,125,139,168,197,202,212,222],"mathematical":[12],"and":[14,34,75,84,204],"operations":[15],"research.":[16],"The":[17,123,191],"multi-objective":[18,178],"evolutionary":[19,179],"algorithm":[20,82],"based":[21],"on":[22,182],"decomposition":[23],"(MOEA/D)":[24],"decomposes":[25],"MOP":[27],"into":[28,81,127],"set":[30],"single-objective":[32],"subproblems":[33,44],"approximates":[35],"true":[37],"Pareto":[38],"front":[39],"(PF)":[40],"by":[41,56,115,164],"optimizing":[42],"these":[43],"collaborative":[47],"manner.":[48],"However,":[49],"most":[50],"existing":[51],"MOEA/Ds":[52],"maintain":[53],"population":[54],"diversity":[55,203],"limiting":[57],"replacement":[59,94],"region":[60],"or":[61],"scale,":[62],"which":[63],"come":[64],"at":[65],"cost":[67],"decreasing":[69],"convergence.":[70,205],"To":[71],"better":[72],"balance":[73],"convergence":[74,166,220],"diversity,":[76],"we":[77],"introduce":[78],"auction":[79,118],"theory":[80],"design":[83],"propose":[85],"an":[86],"auction-based":[87],"matching":[88],"(ABM)":[89],"mechanism":[90,215],"to":[91,134,148,188],"coordinate":[92],"procedure":[95],"MOEA/D.":[97],"In":[98],"ABM":[100,126,214],"mechanism,":[101],"each":[102],"subproblem":[103],"can":[104,216],"be":[105],"associated":[106],"with":[107,175,186],"its":[108],"preferred":[109],"individual":[110],"competitive":[113],"manner":[114],"simulating":[116],"process":[119],"economic":[121],"activities.":[122],"integration":[124],"MOEA/D":[128],"forms":[129],"proposed":[131],"MOEA/D-ABM.":[132],"Furthermore,":[133],"make":[135],"appropriate":[137],"distribution":[138],"weight":[140,152],"vectors,":[141],"modified":[143],"adjustment":[144],"strategy":[145],"is":[146,162,173],"utilized":[147],"adaptively":[149],"adjust":[150],"vectors":[153],"during":[154],"evolution":[156],"process,":[157],"where":[158],"trigger":[160],"timing":[161],"determined":[163],"activity":[167],"population.":[170],"Finally,":[171],"MOEA/D-ABM":[172,198],"compared":[174],"six":[176],"state-of-the-art":[177],"algorithms":[180],"(MOEAs)":[181],"some":[183],"benchmark":[184],"two":[187],"ten":[189],"objectives.":[190],"experimental":[192],"results":[193],"show":[194],"competitiveness":[196],"performance":[201],"They":[206],"also":[207],"demonstrate":[208],"that":[209],"use":[211],"greatly":[217],"improve":[218],"rate":[221],"algorithm.":[224]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}