{"id":"https://openalex.org/W3124766053","doi":"https://doi.org/10.1137/20m1346778","title":"A Unified Approach to Mixed-Integer Optimization Problems With Logical Constraints","display_name":"A Unified Approach to Mixed-Integer Optimization Problems With Logical Constraints","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3124766053","doi":"https://doi.org/10.1137/20m1346778","mag":"3124766053"},"language":"en","primary_location":{"id":"doi:10.1137/20m1346778","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1346778","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},"type":"preprint","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1907.02109.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025940525","display_name":"Dimitris Bertsimas","orcid":"https://orcid.org/0000-0002-1985-1003"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Dimitris Bertsimas","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086687603","display_name":"Ryan Cory-Wright","orcid":"https://orcid.org/0000-0002-4485-0619"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ryan Cory-Wright","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5000162562","display_name":"Jean Pauphilet","orcid":"https://orcid.org/0000-0001-6352-0984"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jean Pauphilet","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025940525"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0741,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.77568134,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"31","issue":"3","first_page":"2340","last_page":"2367"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9995999932289124,"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":0.9995999932289124,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.998199999332428,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6789610981941223},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.6694031953811646},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5275183320045471},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5017552375793457},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4907447099685669},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4821288585662842},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.43155190348625183},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40826961398124695},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.27201515436172485},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1373993158340454}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6789610981941223},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.6694031953811646},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5275183320045471},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5017552375793457},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4907447099685669},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4821288585662842},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.43155190348625183},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40826961398124695},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.27201515436172485},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1373993158340454},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/20m1346778","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1346778","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"},{"id":"mag:3124766053","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.02109.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:dspace.mit.edu:1721.1/144075","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/144075","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM","raw_type":"http://purl.org/eprint/type/JournalArticle"},{"id":"doi:10.48550/arxiv.1907.02109","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.02109","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"mag:3124766053","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.02109.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.6499999761581421,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W1563391815","https://openalex.org/W1607580485","https://openalex.org/W1632601927","https://openalex.org/W1670218960","https://openalex.org/W1918816242","https://openalex.org/W1985123706","https://openalex.org/W1992713772","https://openalex.org/W1993229675","https://openalex.org/W1999830414","https://openalex.org/W2021947147","https://openalex.org/W2022191808","https://openalex.org/W2029242918","https://openalex.org/W2031130715","https://openalex.org/W2036699147","https://openalex.org/W2041818766","https://openalex.org/W2044121814","https://openalex.org/W2047121735","https://openalex.org/W2047688435","https://openalex.org/W2049505431","https://openalex.org/W2049967295","https://openalex.org/W2049967755","https://openalex.org/W2050336256","https://openalex.org/W2057338659","https://openalex.org/W2061962896","https://openalex.org/W2066875914","https://openalex.org/W2069808690","https://openalex.org/W2071334094","https://openalex.org/W2073576149","https://openalex.org/W2077397558","https://openalex.org/W2086522200","https://openalex.org/W2109092710","https://openalex.org/W2122520400","https://openalex.org/W2123550810","https://openalex.org/W2135159299","https://openalex.org/W2158907148","https://openalex.org/W2166029977","https://openalex.org/W2170569252","https://openalex.org/W2286092420","https://openalex.org/W2296319761","https://openalex.org/W2301790113","https://openalex.org/W2469165122","https://openalex.org/W2793490254","https://openalex.org/W2912638342","https://openalex.org/W2913987580","https://openalex.org/W2963351303","https://openalex.org/W2967674932","https://openalex.org/W2975575171","https://openalex.org/W3006889477","https://openalex.org/W3023550848","https://openalex.org/W3102796955","https://openalex.org/W3105558219","https://openalex.org/W3111964120","https://openalex.org/W3122931884","https://openalex.org/W3157752112"],"related_works":["https://openalex.org/W2296319761","https://openalex.org/W1817355486","https://openalex.org/W3008807310","https://openalex.org/W2111862596","https://openalex.org/W2911906467","https://openalex.org/W2253497723","https://openalex.org/W2953454661","https://openalex.org/W2912638342","https://openalex.org/W3040029477","https://openalex.org/W2792534692","https://openalex.org/W2553773573","https://openalex.org/W2807200798","https://openalex.org/W2100354284","https://openalex.org/W2376692113","https://openalex.org/W1502333130","https://openalex.org/W2606955423","https://openalex.org/W1591367629","https://openalex.org/W1986281557","https://openalex.org/W3161794388","https://openalex.org/W2805495989"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,7,55,73,78,103,121],"unified":[3],"framework":[4],"to":[5,147,159,175],"address":[6],"family":[8],"of":[9,141],"classical":[10],"mixed-integer":[11,126],"optimization":[12,88],"problems":[13,40,84,117,138,156,172],"with":[14,139,157,163,173],"logically":[15],"constrained":[16],"decision":[17],"variables,":[18,48],"including":[19],"network":[20,136],"design,":[21],"facility":[22],"location,":[23],"unit":[24],"commitment,":[25],"sparse":[26,32,36,153,170],"portfolio":[27,154],"selection,":[28],"binary":[29,87],"quadratic":[30],"optimization,":[31],"principal":[33],"analysis":[34],"and":[35,46,67,111,119,143,169],"learning":[37],"problems.":[38],"These":[39],"exhibit":[41],"logical":[42,70],"relationships":[43],"between":[44],"continuous":[45],"discrete":[47],"which":[49,90,107],"are":[50,91],"usually":[51],"reformulated":[52],"linearly":[53],"using":[54,93],"big-M":[56],"formulation.":[57],"In":[58,97],"this":[59,63],"work,":[60],"we":[61,81,100],"challenge":[62],"longstanding":[64],"modeling":[65],"practice":[66],"express":[68],"the":[69,151],"constraints":[71],"in":[72],"non-linear":[74],"way.":[75],"By":[76],"imposing":[77],"regularization":[79],"condition,":[80],"reformulate":[82],"these":[83,116],"as":[85],"convex":[86],"problems,":[89],"solvable":[92],"an":[94],"outer-approximation":[95],"procedure.":[96],"numerical":[98,105],"experiments,":[99],"establish":[101],"that":[102],"general-purpose":[104],"strategy,":[106],"combines":[108],"cutting-plane,":[109],"first-order":[110],"local":[112],"search":[113],"methods,":[114],"solves":[115,135],"faster":[118],"at":[120],"larger":[122],"scale":[123],"than":[124,150],"state-of-the-art":[125],"linear":[127],"or":[128],"second-order":[129],"cone":[130],"methods.":[131],"Our":[132],"approach":[133],"successfully":[134],"design":[137],"100s":[140],"nodes":[142],"provides":[144],"solutions":[145],"up":[146,158,174],"40\\%":[148],"better":[149],"state-of-the-art;":[152],"selection":[155],"3,200":[160],"securities":[161,165],"compared":[162],"400":[164],"for":[166],"previous":[167],"attempts;":[168],"regression":[171],"100,000":[176],"covariates.":[177]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}