{"id":"https://openalex.org/W3134471647","doi":"https://doi.org/10.37190/ord210202","title":"Improving logic-based Benders\u2019 algorithms for solving min-max regret problems","display_name":"Improving logic-based Benders\u2019 algorithms for solving min-max regret problems","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3134471647","doi":"https://doi.org/10.37190/ord210202","mag":"3134471647"},"language":"en","primary_location":{"id":"doi:10.37190/ord210202","is_oa":true,"landing_page_url":"https://doi.org/10.37190/ord210202","pdf_url":"https://doi.org/10.37190/ord210202","source":{"id":"https://openalex.org/S2739399646","display_name":"Badania Operacyjne i Decyzje/Operations Research and Decisions","issn_l":"1230-1868","issn":["1230-1868","2081-8858","2391-6060"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317492","host_organization_name":"Wroc\u0142aw University of Science and Technology","host_organization_lineage":["https://openalex.org/P4310317492"],"host_organization_lineage_names":["Wroc\u0142aw University of Science and Technology"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research and Decisions","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37190/ord210202","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103604715","display_name":"Lucas Assun\u00e7\u00e3o","orcid":"https://orcid.org/0000-0002-7039-6368"},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Lucas Assun\u00e7\u00e3o","raw_affiliation_strings":["Departamento de Ci\u00eancia da Computa\u00e7\u00e3o, Universidade Federal de Minas Gerais, Avenida Ant\u00f4nio Carlos, 6627, CEP 31270-901, Belo Horizonte, MG, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ci\u00eancia da Computa\u00e7\u00e3o, Universidade Federal de Minas Gerais, Avenida Ant\u00f4nio Carlos, 6627, CEP 31270-901, Belo Horizonte, MG, Brazil","institution_ids":["https://openalex.org/I110200422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043894517","display_name":"Andr\u00e9a Cynthia Santos","orcid":"https://orcid.org/0000-0003-2497-4072"},"institutions":[{"id":"https://openalex.org/I243754102","display_name":"Universidade Federal do Cear\u00e1","ror":"https://ror.org/03srtnf24","country_code":"BR","type":"education","lineage":["https://openalex.org/I243754102"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210108118","display_name":"Laboratoire d'Informatique, du Traitement de l'Information et des Syst\u00e8mes","ror":"https://ror.org/01f1vfy95","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210108118","https://openalex.org/I62396329","https://openalex.org/I88814501"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I88814501","display_name":"Institut National des Sciences Appliqu\u00e9es Rouen Normandie","ror":"https://ror.org/020ws7586","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I88814501"]}],"countries":["BR","FR"],"is_corresponding":false,"raw_author_name":"Andr\u00e9a Cynthia Santos","raw_affiliation_strings":["Departamento de Estatstica e Matemtica Aplicada, Universidade Federal do Cear, Campus do Pici -Bloco 910, CEP 60455-900, Fortaleza, CE, Brazil","Normandie Universit, UNIHAVRE, UNIROUEN, INSA Rouen, LITIS, 25 Rue Philippe Lebon, 76600 Le Havre, France","Departamento de Estat\u00edstica e Matem\u00e1tica Aplicada, Universidade Federal do Cear\u00e1, Campus do Pici -Bloco 910, CEP 60455-900, Fortaleza, CE, Brazil","Normandie Universit\u00e9, UNIHAVRE, UNIROUEN, INSA Rouen, LITIS, 25 Rue Philippe Lebon, 76600 Le Havre, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Estatstica e Matemtica Aplicada, Universidade Federal do Cear, Campus do Pici -Bloco 910, CEP 60455-900, Fortaleza, CE, Brazil","institution_ids":["https://openalex.org/I243754102"]},{"raw_affiliation_string":"Normandie Universit, UNIHAVRE, UNIROUEN, INSA Rouen, LITIS, 25 Rue Philippe Lebon, 76600 Le Havre, France","institution_ids":["https://openalex.org/I4210105918","https://openalex.org/I62396329","https://openalex.org/I88814501"]},{"raw_affiliation_string":"Departamento de Estat\u00edstica e Matem\u00e1tica Aplicada, Universidade Federal do Cear\u00e1, Campus do Pici -Bloco 910, CEP 60455-900, Fortaleza, CE, Brazil","institution_ids":["https://openalex.org/I243754102"]},{"raw_affiliation_string":"Normandie Universit\u00e9, UNIHAVRE, UNIROUEN, INSA Rouen, LITIS, 25 Rue Philippe Lebon, 76600 Le Havre, France","institution_ids":["https://openalex.org/I4210105918","https://openalex.org/I4210108118","https://openalex.org/I62396329","https://openalex.org/I88814501"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110446754","display_name":"Thiago F. Noronha","orcid":null},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Thiago F. Noronha","raw_affiliation_strings":["Departamento de Ci\u00eancia da Computa\u00e7\u00e3o, Universidade Federal de Minas Gerais, Avenida Ant\u00f4nio Carlos, 6627, CEP 31270-901, Belo Horizonte, MG, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ci\u00eancia da Computa\u00e7\u00e3o, Universidade Federal de Minas Gerais, Avenida Ant\u00f4nio Carlos, 6627, CEP 31270-901, Belo Horizonte, MG, Brazil","institution_ids":["https://openalex.org/I110200422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030657599","display_name":"Rafael Andrade","orcid":"https://orcid.org/0000-0003-2562-412X"},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Rafael Andrade","raw_affiliation_strings":["Departamento de Ci\u00eancia da Computa\u00e7\u00e3o, Universidade Federal de Minas Gerais, Avenida Ant\u00f4nio Carlos, 6627, CEP 31270-901, Belo Horizonte, MG, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ci\u00eancia da Computa\u00e7\u00e3o, Universidade Federal de Minas Gerais, Avenida Ant\u00f4nio Carlos, 6627, CEP 31270-901, Belo Horizonte, MG, Brazil","institution_ids":["https://openalex.org/I110200422"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1603,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49135793,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"31","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9939000010490417,"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":0.9939000010490417,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9811000227928162,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9663000106811523,"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/regret","display_name":"Regret","score":0.8320788145065308},{"id":"https://openalex.org/keywords/benders-decomposition","display_name":"Benders' decomposition","score":0.7176726460456848},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6193392872810364},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6044262647628784},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5505309104919434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4954949617385864},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4771846532821655},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4596928656101227},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4488266110420227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4311484098434448},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.4139104187488556},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08056968450546265},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07824438810348511}],"concepts":[{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.8320788145065308},{"id":"https://openalex.org/C27665512","wikidata":"https://www.wikidata.org/wiki/Q3042795","display_name":"Benders' decomposition","level":2,"score":0.7176726460456848},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6193392872810364},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6044262647628784},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5505309104919434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4954949617385864},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4771846532821655},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4596928656101227},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4488266110420227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4311484098434448},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.4139104187488556},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08056968450546265},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07824438810348511},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.37190/ord210202","is_oa":true,"landing_page_url":"https://doi.org/10.37190/ord210202","pdf_url":"https://doi.org/10.37190/ord210202","source":{"id":"https://openalex.org/S2739399646","display_name":"Badania Operacyjne i Decyzje/Operations Research and Decisions","issn_l":"1230-1868","issn":["1230-1868","2081-8858","2391-6060"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317492","host_organization_name":"Wroc\u0142aw University of Science and Technology","host_organization_lineage":["https://openalex.org/P4310317492"],"host_organization_lineage_names":["Wroc\u0142aw University of Science and Technology"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research and Decisions","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03155546v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03155546","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"Operations Research and Decisions, 2021, 31 (2), pp.23-57. &#x27E8;10.37190/ord210202&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dbc.wroc.pl:145870","is_oa":true,"landing_page_url":"https://dbc.wroc.pl/dlibra/publication/184460/edition/145870/content","pdf_url":null,"source":{"id":"https://openalex.org/S4210167977","display_name":"Prace Naukowe Uniwersytetu Ekonomicznego we Wroc\u0142awiu","issn_l":"1899-3192","issn":["1899-3192","2392-0041"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":"https://openalex.org/P4322697539","host_organization_name":"Wroclaw University of Economics","host_organization_lineage":["https://openalex.org/P4322697539"],"host_organization_lineage_names":["Wroclaw University of Economics"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Politechnika Wroc\u0142awska","raw_type":"artyku\u0142"}],"best_oa_location":{"id":"doi:10.37190/ord210202","is_oa":true,"landing_page_url":"https://doi.org/10.37190/ord210202","pdf_url":"https://doi.org/10.37190/ord210202","source":{"id":"https://openalex.org/S2739399646","display_name":"Badania Operacyjne i Decyzje/Operations Research and Decisions","issn_l":"1230-1868","issn":["1230-1868","2081-8858","2391-6060"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317492","host_organization_name":"Wroc\u0142aw University of Science and Technology","host_organization_lineage":["https://openalex.org/P4310317492"],"host_organization_lineage_names":["Wroc\u0142aw University of Science and Technology"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research and Decisions","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322980","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de Minas Gerais","ror":"https://ror.org/00nc55f03"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3134471647.pdf","grobid_xml":"https://content.openalex.org/works/W3134471647.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W94730780","https://openalex.org/W203276351","https://openalex.org/W347205678","https://openalex.org/W1484040084","https://openalex.org/W1508945008","https://openalex.org/W1560337332","https://openalex.org/W1963888335","https://openalex.org/W1967113490","https://openalex.org/W1968866800","https://openalex.org/W1971456873","https://openalex.org/W1972280695","https://openalex.org/W1981162332","https://openalex.org/W1981265300","https://openalex.org/W1984952615","https://openalex.org/W2011039300","https://openalex.org/W2028589351","https://openalex.org/W2035591608","https://openalex.org/W2044121814","https://openalex.org/W2049967755","https://openalex.org/W2051407192","https://openalex.org/W2064076655","https://openalex.org/W2067999800","https://openalex.org/W2071335627","https://openalex.org/W2071353749","https://openalex.org/W2076163541","https://openalex.org/W2089510325","https://openalex.org/W2095153636","https://openalex.org/W2124947072","https://openalex.org/W2161704166","https://openalex.org/W2180809430","https://openalex.org/W2514449360","https://openalex.org/W2526392488","https://openalex.org/W2529629665","https://openalex.org/W2896660071","https://openalex.org/W3027445132","https://openalex.org/W3110099830","https://openalex.org/W3117106590","https://openalex.org/W4248058550","https://openalex.org/W4253347690","https://openalex.org/W4285719527","https://openalex.org/W4294109906","https://openalex.org/W4300303686"],"related_works":["https://openalex.org/W4376155396","https://openalex.org/W2971351794","https://openalex.org/W1947085858","https://openalex.org/W2101991911","https://openalex.org/W2174986909","https://openalex.org/W2527791220","https://openalex.org/W2155070487","https://openalex.org/W4311589891","https://openalex.org/W2123377008","https://openalex.org/W2248664270"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"a":[3,51,59,123,151,186],"class":[4],"of":[5,12,16,64,79,82,98,106,132,150,177,195,220],"problems":[6,20,25,45,167,212,222],"under":[7],"interval":[8,22,41,208],"data":[9],"uncertainty,":[10],"composed":[11],"min-max":[13,43,210],"regret":[14,44,211],"generalisations":[15],"classical":[17,31,84],"0-1":[18,42,85,209],"optimisation":[19,86],"with":[21,207],"costs.":[23],"These":[24,136],"are":[26,33],"called":[27],"robust-hard":[28,166,221],"when":[29,205],"their":[30],"counterparts":[32],"already":[34],"NP-hard.":[35],"The":[36],"state-of-the-art":[37],"exact":[38],"algorithms":[39,121],"for":[40],"in":[46,58,162,213],"general":[47],"work":[48,138],"by":[49,104,139,181],"solving":[50,163],"corresponding":[52],"mixed":[53],"integer":[54],"linear":[55],"programming":[56],"formulation":[57],"Benders\u2019":[60,69,125,183],"decomposition":[61,126],"fashion.":[62],"Each":[63],"the":[65,74,77,83,130,148,175,178,182,191,216],"possibly":[66],"exponentially":[67],"many":[68],"cuts":[70,143],"is":[71],"separated":[72],"on":[73],"fly":[75],"through":[76,122,147],"resolution":[78,149],"an":[80,156,201],"instance":[81],"problem":[87],"counterpart.":[88],"Since":[89],"these":[90,120,170,196],"separation":[91],"subproblems":[92],"may":[93],"be":[94,101],"NP-hard,":[95],"not":[96],"all":[97],"them":[99,200],"can":[100,172],"easily":[102,202],"modelled":[103],"means":[105],"Linear":[107],"Programming":[108],"(LP),":[109],"unless":[110],"P":[111],"=":[112],"NP.":[113],"In":[114],"this":[115],"work,":[116],"we":[117],"formally":[118],"describe":[119],"logic-based":[124],"framework":[127,184],"and":[128,144,155,193],"assess":[129],"impact":[131],"three":[133],"warm-start":[134],"procedures.":[135],"procedures":[137,171,198],"providing":[140],"promising":[141],"initial":[142],"primal":[145],"bounds":[146,179],"linearly":[152],"relaxed":[153],"model":[154],"LP-based":[157],"heuristic.":[158],"Extensive":[159],"computational":[160],"experiments":[161],"two":[164],"challenging":[165,218],"indicate":[168],"that":[169],"highly":[173],"improve":[174],"quality":[176],"obtained":[180],"within":[185],"limited":[187],"execution":[188],"time.":[189],"Moreover,":[190],"simplicity":[192],"effectiveness":[194],"speed-up":[197],"makes":[199],"reproducible":[203],"option":[204],"dealing":[206],"general,":[214],"especially":[215],"more":[217],"subclass":[219]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
