{"id":"https://openalex.org/W1969226428","doi":"https://doi.org/10.1109/cdc.2012.6426782","title":"Distributed robust optimization via Cutting-Plane Consensus","display_name":"Distributed robust optimization via Cutting-Plane Consensus","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W1969226428","doi":"https://doi.org/10.1109/cdc.2012.6426782","mag":"1969226428"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2012.6426782","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426782","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","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/A5113560639","display_name":"Mathias B\u00fcrger","orcid":null},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Mathias Burger","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550, Germany","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017893179","display_name":"Giuseppe Notarstefano","orcid":"https://orcid.org/0000-0002-0906-7848"},"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":false,"raw_author_name":"Giuseppe Notarstefano","raw_affiliation_strings":["Department of Engineering, University of Lecce (Universit\u00e0 del Salento), Lecce, Italy","Department of Engineering, University of Lecce (Universit\u00e0 del Salento), Via per Monteroni, 73100, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Lecce (Universit\u00e0 del Salento), Lecce, Italy","institution_ids":["https://openalex.org/I142910587"]},{"raw_affiliation_string":"Department of Engineering, University of Lecce (Universit\u00e0 del Salento), Via per Monteroni, 73100, Italy","institution_ids":["https://openalex.org/I142910587"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001090900","display_name":"Frank Allg\u00f6wer","orcid":"https://orcid.org/0000-0002-3702-3658"},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Frank Allgower","raw_affiliation_strings":["Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Stuttgart, Germany","institution_ids":["https://openalex.org/I100066346"]},{"raw_affiliation_string":"Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550, Germany","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113560639"],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":null,"apc_paid":null,"fwci":1.9994,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.86466087,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"7457","last_page":"7463"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9941999912261963,"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":0.9941999912261963,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9940999746322632,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9918000102043152,"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/computer-science","display_name":"Computer science","score":0.6809316277503967},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6467764377593994},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.5632351040840149},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.556829571723938},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.5428956747055054},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5310580730438232},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5218017101287842},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5090407729148865},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4579201936721802},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.44069162011146545},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.4249257743358612},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4225577116012573},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32141175866127014},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.3008121848106384},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.27585574984550476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2212119996547699}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6809316277503967},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6467764377593994},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.5632351040840149},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.556829571723938},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.5428956747055054},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5310580730438232},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5218017101287842},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5090407729148865},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4579201936721802},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.44069162011146545},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.4249257743358612},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4225577116012573},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32141175866127014},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.3008121848106384},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.27585574984550476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2212119996547699},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2012.6426782","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426782","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:cris.unibo.it:11585/671993","is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/671993","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1893117846","https://openalex.org/W1965002067","https://openalex.org/W1995285162","https://openalex.org/W1996239617","https://openalex.org/W1996645965","https://openalex.org/W2016572968","https://openalex.org/W2022133267","https://openalex.org/W2022948311","https://openalex.org/W2042914239","https://openalex.org/W2044212084","https://openalex.org/W2045294654","https://openalex.org/W2048730325","https://openalex.org/W2049659086","https://openalex.org/W2056481207","https://openalex.org/W2084929368","https://openalex.org/W2094388637","https://openalex.org/W2106221286","https://openalex.org/W2110538410","https://openalex.org/W2114085163","https://openalex.org/W2114791779","https://openalex.org/W2131116400","https://openalex.org/W2131295967","https://openalex.org/W2131448432","https://openalex.org/W2139230981","https://openalex.org/W2140700901","https://openalex.org/W2147063476","https://openalex.org/W2154834860","https://openalex.org/W2157371983","https://openalex.org/W2167106488","https://openalex.org/W2172198163","https://openalex.org/W2172813797","https://openalex.org/W2302644763","https://openalex.org/W4251616545","https://openalex.org/W4252017042","https://openalex.org/W4292363360","https://openalex.org/W4296295075","https://openalex.org/W6654411275","https://openalex.org/W6663023720","https://openalex.org/W6674045321"],"related_works":["https://openalex.org/W2048233275","https://openalex.org/W2110818895","https://openalex.org/W2045076853","https://openalex.org/W1973064890","https://openalex.org/W3006617646","https://openalex.org/W3126345618","https://openalex.org/W1991394924","https://openalex.org/W2038141985","https://openalex.org/W1983132195","https://openalex.org/W2065369945"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,26,29,43,49,67,89,100,122,126,131,134,141],"problem":[4],"of":[5,11,38,51,66,81,88,125,133,140],"robust":[6,117],"optimization":[7,16],"in":[8,28],"large-scale":[9],"networks":[10],"identical":[12],"processors.":[13],"General":[14],"convex":[15],"problems":[17],"are":[18,23],"considered,":[19],"where":[20],"uncertain":[21],"constraints":[22,83],"distributed":[24],"to":[25,34,71],"processors":[27,32],"network.":[30],"The":[31],"have":[33],"compute":[35],"a":[36,39,59,78],"maximizer":[37],"linear":[40,82,118],"objective":[41],"over":[42],"robustly":[44,68,90],"feasible":[45,55,69,91],"set,":[46,70],"defined":[47],"as":[48],"intersection":[50],"all":[52],"locally":[53,96],"known":[54],"sets.":[56],"We":[57],"propose":[58],"novel":[60],"asynchronous":[61],"algorithm,":[62],"based":[63],"on":[64,94,130],"outer-approximations":[65],"solve":[72],"such":[73],"problems.":[74],"Each":[75],"processor":[76,107],"stores":[77],"small":[79],"set":[80],"that":[84,121],"form":[85],"an":[86],"outer-approximation":[87],"set.":[92],"Based":[93],"its":[95,110],"available":[97],"information":[98],"and":[99,137],"data":[101],"exchange":[102],"with":[103],"neighboring":[104],"processors,":[105],"each":[106],"repeatedly":[108],"updates":[109],"local":[111],"approximation.":[112],"A":[113],"computational":[114],"study":[115],"for":[116],"programming":[119],"illustrates":[120],"completion":[123],"time":[124],"algorithm":[127],"depends":[128],"primarily":[129],"diameter":[132],"communication":[135],"graph":[136],"is":[138],"independent":[139],"network":[142],"size.":[143]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2013,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
