{"id":"https://openalex.org/W4415378787","doi":"https://doi.org/10.1007/s10898-025-01552-y","title":"Optimality and solutions for conic robust multiobjective programs","display_name":"Optimality and solutions for conic robust multiobjective programs","publication_year":2025,"publication_date":"2025-10-21","ids":{"openalex":"https://openalex.org/W4415378787","doi":"https://doi.org/10.1007/s10898-025-01552-y"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-025-01552-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-025-01552-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-025-01552-y.pdf","source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"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":"Journal of Global Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10898-025-01552-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024668916","display_name":"Th\u00e1i Do\u00e3n Ch\u01b0\u01a1ng","orcid":"https://orcid.org/0000-0003-0893-5604"},"institutions":[{"id":"https://openalex.org/I124357947","display_name":"University of London","ror":"https://ror.org/04cw6st05","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947"]},{"id":"https://openalex.org/I59433898","display_name":"Brunel University of London","ror":"https://ror.org/00dn4t376","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I59433898"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Thai Doan Chuong","raw_affiliation_strings":["Department of Mathematics, Brunel University of London, London, UK"],"raw_orcid":"https://orcid.org/0000-0003-0893-5604","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Brunel University of London, London, UK","institution_ids":["https://openalex.org/I59433898","https://openalex.org/I124357947"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070195520","display_name":"Xinghuo Yu","orcid":"https://orcid.org/0000-0001-8093-9787"},"institutions":[{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Xinghuo Yu","raw_affiliation_strings":["School of Engineering, RMIT University, Melbourne, 3000, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering, RMIT University, Melbourne, 3000, Australia","institution_ids":["https://openalex.org/I82951845"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016332710","display_name":"Andrew Eberhard","orcid":"https://orcid.org/0000-0003-2977-3456"},"institutions":[{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Andrew Eberhard","raw_affiliation_strings":["School of Engineering, RMIT University, Melbourne, 3000, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering, RMIT University, Melbourne, 3000, Australia","institution_ids":["https://openalex.org/I82951845"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033381522","display_name":"Chaojie Li","orcid":"https://orcid.org/0000-0002-0557-1481"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Chaojie Li","raw_affiliation_strings":["School of Electrical Engineering and Telecommunications, UNSW Sydney, Sydney, NSW, 2052, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Telecommunications, UNSW Sydney, Sydney, NSW, 2052, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100322161","display_name":"Chen Liu","orcid":"https://orcid.org/0000-0002-4368-5295"},"institutions":[{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Chen Liu","raw_affiliation_strings":["School of Engineering, RMIT University, Melbourne, 3000, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering, RMIT University, Melbourne, 3000, Australia","institution_ids":["https://openalex.org/I82951845"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5024668916"],"corresponding_institution_ids":["https://openalex.org/I124357947","https://openalex.org/I59433898"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":{"value":2190,"currency":"EUR","value_usd":2780},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.33528334,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"93","issue":"3","first_page":"747","last_page":"776"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9976999759674072,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9973000288009644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.9714999794960022},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.7918999791145325},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.708899974822998},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6255999803543091},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.6026999950408936},{"id":"https://openalex.org/keywords/second-order-cone-programming","display_name":"Second-order cone programming","score":0.508400022983551},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.4738999903202057},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.43529999256134033}],"concepts":[{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.9714999794960022},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.7918999791145325},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7488999962806702},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7178000211715698},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.708899974822998},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6255999803543091},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6026999950408936},{"id":"https://openalex.org/C111397411","wikidata":"https://www.wikidata.org/wiki/Q7442977","display_name":"Second-order cone programming","level":4,"score":0.508400022983551},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.4738999903202057},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.43529999256134033},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.41760000586509705},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.39309999346733093},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.349700003862381},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3301999866962433},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.3028999865055084},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2752000093460083},{"id":"https://openalex.org/C205658194","wikidata":"https://www.wikidata.org/wiki/Q4168281","display_name":"Linear-fractional programming","level":3,"score":0.27459999918937683},{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.27160000801086426},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.27070000767707825}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-025-01552-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-025-01552-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-025-01552-y.pdf","source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:bura.brunel.ac.uk:2438/32367","is_oa":true,"landing_page_url":"https://orcid.org/0000-0003-0893-5604","pdf_url":null,"source":{"id":"https://openalex.org/S4306401473","display_name":"Brunel University Research Archive (BURA) (Brunel University London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59433898","host_organization_name":"Brunel University of London","host_organization_lineage":["https://openalex.org/I59433898"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s10898-025-01552-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10898-025-01552-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10898-025-01552-y.pdf","source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"is_oa":false,"is_in_doaj":false,"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":"Journal of Global Optimization","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415378787.pdf"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W650424426","https://openalex.org/W653291882","https://openalex.org/W1568307856","https://openalex.org/W1842733265","https://openalex.org/W1985077192","https://openalex.org/W2026483567","https://openalex.org/W2044298677","https://openalex.org/W2065706751","https://openalex.org/W2113642685","https://openalex.org/W2131116400","https://openalex.org/W2149726897","https://openalex.org/W2152533835","https://openalex.org/W2480150299","https://openalex.org/W2531824334","https://openalex.org/W2548830523","https://openalex.org/W2560530591","https://openalex.org/W2754441833","https://openalex.org/W2789327828","https://openalex.org/W2793406148","https://openalex.org/W2892075628","https://openalex.org/W2936699287","https://openalex.org/W2946899558","https://openalex.org/W2974223901","https://openalex.org/W3029757191","https://openalex.org/W3125338181","https://openalex.org/W3215405050","https://openalex.org/W4206204751","https://openalex.org/W4249125060","https://openalex.org/W4250589301","https://openalex.org/W4251616545","https://openalex.org/W4252722163","https://openalex.org/W4302557773","https://openalex.org/W4311213064"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"presents":[3],"a":[4,9,83,88],"robust":[5,40,58,103],"framework":[6],"for":[7,52,82,145],"handling":[8],"conic":[10,39,50,57,80,92,102,112,134],"multiobjective":[11,41,59,84,89,104],"linear":[12,42,49,60,75,105],"optimization":[13],"problem,":[14],"where":[15],"the":[16,38,55,101,132],"objective":[17],"and":[18,33,47,78,87,119],"constraint":[19],"functions":[20],"are":[21,126],"involving":[22],"affinely":[23],"parameterized":[24],"data":[25],"uncertainties.":[26],"More":[27],"precisely,":[28],"we":[29],"examine":[30],"optimality":[31,67],"conditions":[32,68,81],"calculate":[34],"efficient":[35,98,143],"solutions":[36,99,144],"of":[37,54,74,100],"problem.":[43],"We":[44,95],"provide":[45],"necessary":[46],"sufficient":[48],"criteria":[51],"efficiency":[53],"underlying":[56],"program.":[61],"It":[62],"is":[63],"shown":[64],"that":[65,131],"such":[66],"can":[69,107,138],"be":[70,108,139],"expressed":[71],"in":[72],"terms":[73],"matrix":[76],"inequalities":[77],"second-order":[79,120],"semidefinite":[85,117],"program":[86],"second":[90],"order":[91],"program,":[93],"respectively.":[94],"show":[96],"how":[97],"problem":[106],"found":[109],"via":[110],"its":[111],"programming":[113,118,122,135],"reformulation":[114,136],"problems":[115,147],"including":[116,148],"cone":[121],"problems.":[123],"Numerical":[124],"examples":[125],"also":[127],"provided":[128],"to":[129,141],"illustrate":[130],"proposed":[133],"schemes":[137],"employed":[140],"find":[142],"concrete":[146],"those":[149],"arisen":[150],"from":[151],"practical":[152],"applications.":[153]},"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-21T00:00:00"}
