{"id":"https://openalex.org/W2506071044","doi":"https://doi.org/10.1145/2908961.2931702","title":"Hypervolume-Based DIRECT for Multi-Objective Optimisation","display_name":"Hypervolume-Based DIRECT for Multi-Objective Optimisation","publication_year":2016,"publication_date":"2016-07-20","ids":{"openalex":"https://openalex.org/W2506071044","doi":"https://doi.org/10.1145/2908961.2931702","mag":"2506071044"},"language":"en","primary_location":{"id":"doi:10.1145/2908961.2931702","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2908961.2931702","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2016 on Genetic and Evolutionary Computation Conference Companion","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009058618","display_name":"Cheryl Sze Yin Wong","orcid":"https://orcid.org/0000-0002-3328-8093"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Cheryl Sze Yin Wong","raw_affiliation_strings":["Nanyang Technological University, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073112721","display_name":"Abdullah Al-Dujaili","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Abdullah Al-Dujaili","raw_affiliation_strings":["Nanyang Technological University, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100765440","display_name":"Suresh Sundaram","orcid":"https://orcid.org/0000-0001-6275-0921"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Suresh Sundaram","raw_affiliation_strings":["Nanyang Technological University, Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009058618"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":2.69569595,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.93304044,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1201","last_page":"1208"},"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":0.9958999752998352,"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/T11053","display_name":"Process Optimization and Integration","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6529272198677063},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6066356897354126},{"id":"https://openalex.org/keywords/divide-and-conquer-algorithms","display_name":"Divide and conquer algorithms","score":0.5891384482383728},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5539315938949585},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5226925611495972},{"id":"https://openalex.org/keywords/diversification","display_name":"Diversification (marketing strategy)","score":0.4498969614505768},{"id":"https://openalex.org/keywords/black-box","display_name":"Black box","score":0.4108317792415619},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3301037549972534},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28599727153778076},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18603917956352234},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.06733930110931396}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6529272198677063},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6066356897354126},{"id":"https://openalex.org/C71559656","wikidata":"https://www.wikidata.org/wiki/Q671298","display_name":"Divide and conquer algorithms","level":2,"score":0.5891384482383728},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5539315938949585},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5226925611495972},{"id":"https://openalex.org/C180916674","wikidata":"https://www.wikidata.org/wiki/Q3711935","display_name":"Diversification (marketing strategy)","level":2,"score":0.4498969614505768},{"id":"https://openalex.org/C94966114","wikidata":"https://www.wikidata.org/wiki/Q29256","display_name":"Black box","level":2,"score":0.4108317792415619},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3301037549972534},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28599727153778076},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18603917956352234},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.06733930110931396},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2908961.2931702","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2908961.2931702","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2016 on Genetic and Evolutionary Computation Conference Companion","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W2009678220","https://openalex.org/W2010642019","https://openalex.org/W2038420231","https://openalex.org/W2087332507","https://openalex.org/W2090797242","https://openalex.org/W2098907614","https://openalex.org/W2110586983","https://openalex.org/W2113741278","https://openalex.org/W2123808725","https://openalex.org/W2126105956","https://openalex.org/W2128459200","https://openalex.org/W2128563800","https://openalex.org/W2247949332","https://openalex.org/W2325669346","https://openalex.org/W2559743179"],"related_works":["https://openalex.org/W4247094814","https://openalex.org/W2352794675","https://openalex.org/W108531593","https://openalex.org/W8810113","https://openalex.org/W2158636562","https://openalex.org/W2111712077","https://openalex.org/W2051228988","https://openalex.org/W2162911572","https://openalex.org/W2019464130","https://openalex.org/W2026125670"],"abstract_inverted_index":{"DIRECT":[0,30],"is":[1],"a":[2,91],"deterministic":[3],"optimization":[4],"algorithm":[5,66],"based":[6],"on":[7,153],"the":[8,20,25,60,65,83,103,106,113,129,135,139,142,147,150,158],"\"divide-and-conquer\"":[9],"paradigm.":[10],"It":[11],"looks":[12],"for":[13],"optimal":[14,121],"solutions":[15],"by":[16,82],"systematic":[17],"sampling":[18],"of":[19,27,64,69,86,105,115,134,141,149],"feasible":[21],"decision":[22],"space":[23],"in":[24,40,44,47,53,67],"form":[26,43],"partitioning":[28],"hyperrectangles.":[29],"has":[31],"previously":[32],"been":[33],"extended":[34],"to":[35,99,111,171],"solve":[36],"black-box":[37],"multi-objective":[38,50,62],"problems":[39,156],"its":[41,116],"pure":[42],"MO-DIRECT":[45],"and":[46,76,131],"combination":[48],"with":[49,123],"genetic":[51],"algorithms":[52],"NS-DIRECT-GA.":[54],"In":[55],"this":[56],"paper,":[57],"we":[58,89,97,109,145],"examine":[59],"two":[61],"variants":[63,152,169],"terms":[68],"diversification":[70,114],"(well":[71],"spread),":[72],"exploration":[73],"(global":[74],"search)":[75],"exploitation":[77,132],"(local":[78],"search).":[79],"Furthermore,":[80],"motivated":[81],"experimental":[84],"success":[85],"indicator-based":[87],"methods,":[88],"provide":[90],"hypervolume-based":[92],"multi-":[93],"objective":[94],"DIRECT,":[95],"which":[96],"refer":[98],"as":[100],"MO-DIRECT-hv.":[101],"Through":[102],"use":[104],"hypervolume":[107,125],"indicator,":[108],"seek":[110],"enhance":[112],"search":[117],"through":[118],"selecting":[119],"potentially":[120],"hyperrectangles":[122],"higher":[124],"contribution,":[126],"whilst":[127],"preserving":[128],"exploratory":[130],"balance":[133],"algorithm.":[136],"To":[137],"validate":[138],"efficacy":[140],"proposed":[143],"strategy,":[144],"compare":[146],"performance":[148],"three":[151],"55":[154],"bi-objective":[155],"from":[157],"COCO":[159],"platform.":[160],"The":[161],"results":[162],"indicate":[163],"MO-DIRECT-hv":[164],"performs":[165],"better":[166],"than":[167],"other":[168],"due":[170],"diversified":[172],"sampling.":[173]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}