{"id":"https://openalex.org/W4393353190","doi":"https://doi.org/10.3390/a17040146","title":"Multi-Objective BiLevel Optimization by Bayesian Optimization","display_name":"Multi-Objective BiLevel Optimization by Bayesian Optimization","publication_year":2024,"publication_date":"2024-03-30","ids":{"openalex":"https://openalex.org/W4393353190","doi":"https://doi.org/10.3390/a17040146"},"language":"en","primary_location":{"id":"doi:10.3390/a17040146","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17040146","pdf_url":"https://www.mdpi.com/1999-4893/17/4/146/pdf?version=1711799770","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/17/4/146/pdf?version=1711799770","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001872667","display_name":"Vedat Dogan","orcid":"https://orcid.org/0000-0002-3807-5425"},"institutions":[{"id":"https://openalex.org/I27577105","display_name":"University College Cork","ror":"https://ror.org/03265fv13","country_code":"IE","type":"education","lineage":["https://openalex.org/I27577105"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"Vedat Dogan","raw_affiliation_strings":["Insight Centre for Data Analytics, School of Computer Science and Information Technology, University College Cork, T12 XF62 Cork, Ireland"],"affiliations":[{"raw_affiliation_string":"Insight Centre for Data Analytics, School of Computer Science and Information Technology, University College Cork, T12 XF62 Cork, Ireland","institution_ids":["https://openalex.org/I27577105"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038199174","display_name":"Steven Prestwich","orcid":"https://orcid.org/0000-0002-6218-9158"},"institutions":[{"id":"https://openalex.org/I27577105","display_name":"University College Cork","ror":"https://ror.org/03265fv13","country_code":"IE","type":"education","lineage":["https://openalex.org/I27577105"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Steven Prestwich","raw_affiliation_strings":["Insight Centre for Data Analytics, School of Computer Science and Information Technology, University College Cork, T12 XF62 Cork, Ireland"],"affiliations":[{"raw_affiliation_string":"Insight Centre for Data Analytics, School of Computer Science and Information Technology, University College Cork, T12 XF62 Cork, Ireland","institution_ids":["https://openalex.org/I27577105"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001872667"],"corresponding_institution_ids":["https://openalex.org/I27577105"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.4189,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.82153731,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"17","issue":"4","first_page":"146","last_page":"146"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9997000098228455,"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":0.9997000098228455,"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/T10969","display_name":"Water resources management and optimization","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.984499990940094,"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/bilevel-optimization","display_name":"Bilevel optimization","score":0.8997602462768555},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.755168080329895},{"id":"https://openalex.org/keywords/bayesian-optimization","display_name":"Bayesian optimization","score":0.7295111417770386},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.7054169178009033},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6360535621643066},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5925086140632629},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5137239694595337},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4880715608596802},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.48677754402160645},{"id":"https://openalex.org/keywords/decision-maker","display_name":"Decision maker","score":0.4510825574398041},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.23078125715255737},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2209589183330536},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19962307810783386}],"concepts":[{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.8997602462768555},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.755168080329895},{"id":"https://openalex.org/C2778049539","wikidata":"https://www.wikidata.org/wiki/Q17002908","display_name":"Bayesian optimization","level":2,"score":0.7295111417770386},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.7054169178009033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6360535621643066},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5925086140632629},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5137239694595337},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4880715608596802},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.48677754402160645},{"id":"https://openalex.org/C2986080485","wikidata":"https://www.wikidata.org/wiki/Q1331926","display_name":"Decision maker","level":2,"score":0.4510825574398041},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.23078125715255737},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2209589183330536},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19962307810783386},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a17040146","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17040146","pdf_url":"https://www.mdpi.com/1999-4893/17/4/146/pdf?version=1711799770","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:716a2d79cd484b1d8c30e7d3b4706162","is_oa":true,"landing_page_url":"https://doaj.org/article/716a2d79cd484b1d8c30e7d3b4706162","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":"Algorithms, Vol 17, Iss 4, p 146 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/a17040146","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a17040146","pdf_url":"https://www.mdpi.com/1999-4893/17/4/146/pdf?version=1711799770","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1076797115","display_name":null,"funder_award_id":"co-funded","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G1488196772","display_name":null,"funder_award_id":"2/RC/2289_P2","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"},{"id":"https://openalex.org/G3125555626","display_name":null,"funder_award_id":"12/RC/2289-P2","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G3695527833","display_name":null,"funder_award_id":"12/RC/2289_P2","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"},{"id":"https://openalex.org/G4375996181","display_name":null,"funder_award_id":"12/RC/2289-P2","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"},{"id":"https://openalex.org/G5098725405","display_name":null,"funder_award_id":"12/RC/","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"},{"id":"https://openalex.org/G6607374863","display_name":null,"funder_award_id":"12/RC/2289_P2","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G6712843611","display_name":null,"funder_award_id":"12/RC/228","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"},{"id":"https://openalex.org/G7362007176","display_name":null,"funder_award_id":"12/RC/2289","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"},{"id":"https://openalex.org/G915344826","display_name":null,"funder_award_id":"2/RC/2289-P2","funder_id":"https://openalex.org/F4320320847","funder_display_name":"Science Foundation Ireland"}],"funders":[{"id":"https://openalex.org/F4320320847","display_name":"Science Foundation Ireland","ror":"https://ror.org/0271asj38"},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4393353190.pdf"},"referenced_works_count":49,"referenced_works":["https://openalex.org/W202805564","https://openalex.org/W1524785462","https://openalex.org/W1604175135","https://openalex.org/W1977398984","https://openalex.org/W1983370583","https://openalex.org/W1990864994","https://openalex.org/W1995967795","https://openalex.org/W2003319448","https://openalex.org/W2063757130","https://openalex.org/W2097731086","https://openalex.org/W2100830227","https://openalex.org/W2105245738","https://openalex.org/W2111526171","https://openalex.org/W2126105956","https://openalex.org/W2133601165","https://openalex.org/W2136918060","https://openalex.org/W2168353587","https://openalex.org/W2231071340","https://openalex.org/W2293323215","https://openalex.org/W2329255878","https://openalex.org/W2409689189","https://openalex.org/W2427941034","https://openalex.org/W2484412492","https://openalex.org/W2559336778","https://openalex.org/W2724620800","https://openalex.org/W2804529069","https://openalex.org/W2804987245","https://openalex.org/W2898416733","https://openalex.org/W2901266587","https://openalex.org/W2987161199","https://openalex.org/W3005862328","https://openalex.org/W3021613070","https://openalex.org/W3034857704","https://openalex.org/W3035677605","https://openalex.org/W3090931713","https://openalex.org/W3103046705","https://openalex.org/W3113331478","https://openalex.org/W3119329762","https://openalex.org/W3145900040","https://openalex.org/W3162387221","https://openalex.org/W3207890558","https://openalex.org/W3214421366","https://openalex.org/W4211049957","https://openalex.org/W4285073340","https://openalex.org/W4299164965","https://openalex.org/W4376456883","https://openalex.org/W4391809045","https://openalex.org/W6689477740","https://openalex.org/W6786190416"],"related_works":["https://openalex.org/W4393353190","https://openalex.org/W2362311647","https://openalex.org/W4321504656","https://openalex.org/W1994436307","https://openalex.org/W2550138382","https://openalex.org/W2090178682","https://openalex.org/W4318703531","https://openalex.org/W4241467429","https://openalex.org/W4252419006","https://openalex.org/W2001591765"],"abstract_inverted_index":{"In":[0,15],"a":[1,5,16,27,29,37,76,119,147],"multi-objective":[2,77],"optimization":[3,18,79,126],"problem,":[4,19,80],"decision":[6,35],"maker":[7],"has":[8],"more":[9,158],"than":[10,160],"one":[11],"objective":[12],"to":[13,43,55,127,139],"optimize.":[14],"bilevel":[17,78],"there":[20],"are":[21,72],"the":[22,33,58,64,105,129,143],"following":[23],"two":[24],"decision-makers":[25,65],"in":[26,83,142],"hierarchy:":[28],"leader":[30],"who":[31,39],"makes":[32],"first":[34],"and":[36,90,96,108],"follower":[38],"reacts,":[40],"each":[41,67],"aiming":[42],"optimize":[44,56],"their":[45,112],"own":[46],"objective.":[47],"Many":[48,94],"real-world":[49],"decision-making":[50],"processes":[51],"have":[52,75,99],"various":[53],"objectives":[54,145],"at":[57],"same":[59],"time":[60],"while":[61,164],"considering":[62],"how":[63],"affect":[66],"other.":[68],"When":[69],"both":[70],"features":[71],"combined,":[73],"we":[74],"which":[81],"arises":[82],"manufacturing,":[84],"logistics,":[85],"environmental":[86],"economics,":[87],"defence":[88],"applications":[89],"many":[91],"other":[92,161],"areas.":[93],"exact":[95],"approximation-based":[97],"techniques":[98],"been":[100],"proposed,":[101],"but":[102],"because":[103],"of":[104],"intrinsic":[106],"nonconvexity":[107],"conflicting":[109],"multiple":[110],"objectives,":[111],"computational":[113],"cost":[114],"is":[115,157],"high.":[116],"We":[117,134],"propose":[118],"hybrid":[120],"algorithm":[121,156],"based":[122],"on":[123],"batch":[124],"Bayesian":[125],"approximate":[128],"upper-level":[130],"Pareto-optimal":[131],"solution":[132],"set.":[133],"also":[135],"extend":[136],"our":[137,155],"approach":[138],"handle":[140],"uncertainty":[141],"leader\u2019s":[144],"via":[146],"hypervolume":[148],"improvement-based":[149],"acquisition":[150],"function.":[151],"Experiments":[152],"show":[153],"that":[154],"efficient":[159],"current":[162],"methods":[163],"successfully":[165],"approximating":[166],"Pareto-fronts.":[167]},"counts_by_year":[{"year":2025,"cited_by_count":4}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
