{"id":"https://openalex.org/W2559642817","doi":"https://doi.org/10.1109/tac.2018.2872200","title":"A Duality-Based Approach for Distributed Min\u2013Max Optimization","display_name":"A Duality-Based Approach for Distributed Min\u2013Max Optimization","publication_year":2018,"publication_date":"2018-09-26","ids":{"openalex":"https://openalex.org/W2559642817","doi":"https://doi.org/10.1109/tac.2018.2872200","mag":"2559642817"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2872200","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2872200","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11585/671879","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007708568","display_name":"Ivano Notarnicola","orcid":"https://orcid.org/0000-0002-9841-3684"},"institutions":[{"id":"https://openalex.org/I142910587","display_name":"University of Salento","ror":"https://ror.org/03fc1k060","country_code":"IT","type":"education","lineage":["https://openalex.org/I142910587"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Ivano Notarnicola","raw_affiliation_strings":["Department of Engineering, Universit\u00e0 del Salento, Lecce, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, Universit\u00e0 del Salento, Lecce, Italy","institution_ids":["https://openalex.org/I142910587"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061133764","display_name":"Mauro Franceschelli","orcid":"https://orcid.org/0000-0001-6522-4046"},"institutions":[{"id":"https://openalex.org/I172446870","display_name":"University of Cagliari","ror":"https://ror.org/003109y17","country_code":"IT","type":"education","lineage":["https://openalex.org/I172446870"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mauro Franceschelli","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, University of Cagliari, Cagliari, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, University of Cagliari, Cagliari, Italy","institution_ids":["https://openalex.org/I172446870"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017893179","display_name":"Giuseppe Notarstefano","orcid":"https://orcid.org/0000-0002-0906-7848"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giuseppe Notarstefano","raw_affiliation_strings":["Department of Electrical, Electronic and Information Engineering, University of Bologna, Bologna, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Electrical, Electronic and Information Engineering, University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5007708568"],"corresponding_institution_ids":["https://openalex.org/I142910587"],"apc_list":null,"apc_paid":null,"fwci":2.7527,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.903848,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"64","issue":"6","first_page":"2559","last_page":"2566"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9983000159263611,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9983000159263611,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12288","display_name":"Optimization and Search Problems","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/subgradient-method","display_name":"Subgradient method","score":0.7701641321182251},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7295225858688354},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5969327688217163},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.5921392440795898},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5499935150146484},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5482892394065857},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.48572784662246704},{"id":"https://openalex.org/keywords/strong-duality","display_name":"Strong duality","score":0.46292778849601746},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4619671702384949},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4608864486217499},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4540780484676361},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4313228726387024},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33057481050491333},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3200610280036926},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.16526943445205688}],"concepts":[{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.7701641321182251},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7295225858688354},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5969327688217163},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.5921392440795898},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5499935150146484},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5482892394065857},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.48572784662246704},{"id":"https://openalex.org/C163863214","wikidata":"https://www.wikidata.org/wiki/Q7624553","display_name":"Strong duality","level":3,"score":0.46292778849601746},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4619671702384949},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4608864486217499},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4540780484676361},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4313228726387024},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33057481050491333},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3200610280036926},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.16526943445205688},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2018.2872200","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2872200","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:cris.unibo.it:11585/671879","is_oa":true,"landing_page_url":"http://hdl.handle.net/11585/671879","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unica.it:11584/252906","is_oa":false,"landing_page_url":"https://ieeexplore.ieee.org/document/8472154","pdf_url":null,"source":{"id":"https://openalex.org/S4377196293","display_name":"UNICA IRIS Institutional Research Information System (University of Cagliari)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172446870","host_organization_name":"University of Cagliari","host_organization_lineage":["https://openalex.org/I172446870"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:cris.unibo.it:11585/671879","is_oa":true,"landing_page_url":"http://hdl.handle.net/11585/671879","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W797708412","https://openalex.org/W1511476864","https://openalex.org/W1530345072","https://openalex.org/W1540376964","https://openalex.org/W1569740721","https://openalex.org/W1963529497","https://openalex.org/W2000540095","https://openalex.org/W2020123437","https://openalex.org/W2022948311","https://openalex.org/W2044212084","https://openalex.org/W2046629409","https://openalex.org/W2052836921","https://openalex.org/W2068060907","https://openalex.org/W2073819859","https://openalex.org/W2092368362","https://openalex.org/W2110538410","https://openalex.org/W2155356457","https://openalex.org/W2155918627","https://openalex.org/W2162986857","https://openalex.org/W2169391377","https://openalex.org/W2290602147","https://openalex.org/W2568596216","https://openalex.org/W2609535051","https://openalex.org/W2964229391","https://openalex.org/W3099234163","https://openalex.org/W4254090244"],"related_works":["https://openalex.org/W2055039565","https://openalex.org/W3124715082","https://openalex.org/W1831975506","https://openalex.org/W3180909519","https://openalex.org/W2155356457","https://openalex.org/W3170362745","https://openalex.org/W1730476229","https://openalex.org/W2899409579","https://openalex.org/W2559642817","https://openalex.org/W1583363919"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,147],"consider":[4],"a":[5,15,23,33,41,46,54,76,81,85,155,167],"distributed":[6,42,47,69,169],"optimization":[7,27,83,153],"scenario,":[8],"motivated":[9],"by":[10],"peak-demand":[11,152],"minimization,":[12],"in":[13,40,97,124,154],"which":[14],"set":[16],"of":[17,25,53,56,62,80,93,106,121,135,157],"processors":[18],"aims":[19],"at":[20],"cooperatively":[21],"solving":[22],"class":[24],"min-max":[26,30,65],"problems.":[28],"The":[29,67],"structure":[31,78],"and":[32,59,84,161],"twofold":[34],"coupling":[35],"make":[36],"the":[37,51,60,91,94,107,136,173],"problem":[38],"challenging":[39],"setup.":[43],"We":[44,89],"propose":[45],"algorithm":[48,96,165],"based":[49],"on":[50,172],"derivation":[52],"series":[55],"dual":[57,87],"problems":[58],"application":[61],"properties":[63],"from":[64],"optimization.":[66],"resulting":[68],"algorithm,":[70],"despite":[71],"its":[72,133],"complex":[73],"derivation,":[74],"has":[75],"simple":[77],"consisting":[79],"primal":[82,108,117],"suitable":[86],"update.":[88],"prove":[90],"convergence":[92],"proposed":[95],"objective":[98],"value,":[99],"and,":[100],"moreover,":[101],"that":[102,163],"every":[103],"limit":[104],"point":[105],"sequence":[109],"is":[110,120],"an":[111],"optimal":[112,138],"(thus":[113],"feasible)":[114],"solution.":[115],"This":[116],"recovery":[118,144],"property":[119],"key":[122],"importance":[123],"applications":[125],"since":[126],"it":[127],"allows":[128],"each":[129],"agent":[130],"to":[131,142],"compute":[132],"portion":[134],"global":[137],"strategy":[139],"without":[140],"resorting":[141],"any":[143],"mechanism.":[145],"Finally,":[146],"provide":[148],"numerical":[149],"computations":[150],"for":[151],"network":[156],"thermostatically":[158],"controlled":[159],"loads":[160],"show":[162],"our":[164],"outperforms":[166],"plain":[168],"subgradient":[170],"performed":[171],"dual.":[174]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}