{"id":"https://openalex.org/W4403215913","doi":"https://doi.org/10.3390/axioms13100699","title":"Reformulation and Enhancement of Distributed Robust Optimization Framework Incorporating Decision-Adaptive Uncertainty Sets","display_name":"Reformulation and Enhancement of Distributed Robust Optimization Framework Incorporating Decision-Adaptive Uncertainty Sets","publication_year":2024,"publication_date":"2024-10-08","ids":{"openalex":"https://openalex.org/W4403215913","doi":"https://doi.org/10.3390/axioms13100699"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13100699","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13100699","pdf_url":"https://www.mdpi.com/2075-1680/13/10/699/pdf?version=1728381983","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://www.mdpi.com/2075-1680/13/10/699/pdf?version=1728381983","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100436786","display_name":"Jie Zhang","orcid":"https://orcid.org/0000-0002-6579-5890"},"institutions":[{"id":"https://openalex.org/I153374732","display_name":"Liaoning Normal University","ror":"https://ror.org/04c3cgg32","country_code":"CN","type":"education","lineage":["https://openalex.org/I153374732"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Zhang","raw_affiliation_strings":["School of Mathematics, Liaoning Normal University, Dalian 116029, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Liaoning Normal University, Dalian 116029, China","institution_ids":["https://openalex.org/I153374732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084012904","display_name":"Shuang Lin","orcid":"https://orcid.org/0000-0002-3439-2837"},"institutions":[{"id":"https://openalex.org/I88372448","display_name":"Dalian Polytechnic University","ror":"https://ror.org/00c7x4a95","country_code":"CN","type":"education","lineage":["https://openalex.org/I88372448"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shuang Lin","raw_affiliation_strings":["Department of Basic Courses Teaching, Dalian Polytechnic University, Dalian 116034, China"],"affiliations":[{"raw_affiliation_string":"Department of Basic Courses Teaching, Dalian Polytechnic University, Dalian 116034, China","institution_ids":["https://openalex.org/I88372448"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100365590","display_name":"Yifei Wang","orcid":"https://orcid.org/0000-0002-6509-7726"},"institutions":[{"id":"https://openalex.org/I153374732","display_name":"Liaoning Normal University","ror":"https://ror.org/04c3cgg32","country_code":"CN","type":"education","lineage":["https://openalex.org/I153374732"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yifei Wang","raw_affiliation_strings":["School of Mathematics, Liaoning Normal University, Dalian 116029, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Liaoning Normal University, Dalian 116029, China","institution_ids":["https://openalex.org/I153374732"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084012904"],"corresponding_institution_ids":["https://openalex.org/I88372448"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20823721,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"10","first_page":"699","last_page":"699"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9998000264167786,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9883000254631042,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9865000247955322,"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/robust-optimization","display_name":"Robust optimization","score":0.6349685192108154},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5218619108200073},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.400713175535202},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23604938387870789}],"concepts":[{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.6349685192108154},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5218619108200073},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.400713175535202},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23604938387870789}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13100699","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13100699","pdf_url":"https://www.mdpi.com/2075-1680/13/10/699/pdf?version=1728381983","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:52c825872e83422eb9e997f320528b74","is_oa":true,"landing_page_url":"https://doaj.org/article/52c825872e83422eb9e997f320528b74","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":"Axioms, Vol 13, Iss 10, p 699 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13100699","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13100699","pdf_url":"https://www.mdpi.com/2075-1680/13/10/699/pdf?version=1728381983","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":[{"display_name":"Peace, Justice and strong institutions","score":0.7599999904632568,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3880525217","display_name":null,"funder_award_id":"61877032","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5109343961","display_name":null,"funder_award_id":"2171219","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6686590670","display_name":null,"funder_award_id":"12171219","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403215913.pdf"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W10800830","https://openalex.org/W1543439990","https://openalex.org/W1601741115","https://openalex.org/W1968355947","https://openalex.org/W2036566088","https://openalex.org/W2061293389","https://openalex.org/W2118204568","https://openalex.org/W2125417745","https://openalex.org/W2150872461","https://openalex.org/W2336156739","https://openalex.org/W2510698054","https://openalex.org/W2996958666","https://openalex.org/W3084007891","https://openalex.org/W3102395267","https://openalex.org/W3108895748","https://openalex.org/W3153344299","https://openalex.org/W3155369100","https://openalex.org/W3177563325","https://openalex.org/W3186066833","https://openalex.org/W3189068863","https://openalex.org/W3201957424","https://openalex.org/W3208953454","https://openalex.org/W3217581017","https://openalex.org/W4200501262","https://openalex.org/W4226468199","https://openalex.org/W4232193086","https://openalex.org/W4293829588","https://openalex.org/W4304192911","https://openalex.org/W4308018161","https://openalex.org/W4311176105","https://openalex.org/W4377000464","https://openalex.org/W4379383765","https://openalex.org/W4389486008","https://openalex.org/W4391907940","https://openalex.org/W4398175894","https://openalex.org/W4402172282","https://openalex.org/W4402832318","https://openalex.org/W6665768626","https://openalex.org/W6678779672","https://openalex.org/W6867824593"],"related_works":["https://openalex.org/W3005017983","https://openalex.org/W2205708137","https://openalex.org/W3182145356","https://openalex.org/W3212504317","https://openalex.org/W1988872022","https://openalex.org/W2224558845","https://openalex.org/W3028487898","https://openalex.org/W2302257968","https://openalex.org/W2051074227","https://openalex.org/W4295680010"],"abstract_inverted_index":{"Distributionally":[0],"robust":[1],"optimization":[2,12,163],"(DRO)":[3],"is":[4,25,47,57],"an":[5],"advanced":[6],"framework":[7],"within":[8],"the":[9,18,23,41,50,54,62,72,89,96,125,128,152],"realm":[10],"of":[11,37,44,91],"theory":[13],"that":[14,87],"addresses":[15],"scenarios":[16],"where":[17,40],"underlying":[19],"probability":[20,42],"distribution":[21,43],"governing":[22],"data":[24],"uncertain":[26],"or":[27],"ambiguous.":[28],"In":[29],"this":[30,112],"paper,":[31],"we":[32,85,110],"introduce":[33],"a":[34,65,92,103,118,146,155],"novel":[35],"class":[36],"DRO":[38,78],"challenges":[39],"random":[45],"variables":[46],"contingent":[48],"upon":[49],"decision":[51,73],"variables,":[52],"and":[53,64,137,144,157],"ambiguity":[55],"set":[56],"defined":[58],"through":[59],"parameterization":[60],"involving":[61],"mean":[63],"covariance":[66],"matrix,":[67],"which":[68,150],"also":[69],"depend":[70],"on":[71],"variables.":[74],"This":[75],"dependency":[76],"makes":[77],"difficult":[79],"to":[80,102],"solve":[81,111],"directly;":[82],"therefore,":[83],"first,":[84],"demonstrate":[86],"under":[88],"condition":[90],"full-space":[93],"support":[94],"set,":[95],"original":[97],"problem":[98,116],"can":[99],"be":[100],"reduced":[101],"second-order":[104,113],"cone":[105,114],"programming":[106,115],"(SOCP)":[107],"problem.":[108],"Subsequently,":[109],"using":[117],"projection":[119],"differential":[120,129,153],"equation":[121,130,154],"approach.":[122],"Compared":[123],"with":[124],"traditional":[126],"methods,":[127],"method":[131],"offers":[132],"advantages":[133],"in":[134],"providing":[135],"continuous":[136],"smooth":[138],"solutions,":[139],"offering":[140],"inherent":[141],"stability":[142],"analysis,":[143],"possessing":[145],"rich":[147],"mathematical":[148],"toolbox,":[149],"make":[151],"powerful":[156],"versatile":[158],"tool":[159],"for":[160],"addressing":[161],"complex":[162],"challenges.":[164]},"counts_by_year":[],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}
