{"id":"https://openalex.org/W2010509467","doi":"https://doi.org/10.1287/opre.30.1.208","title":"Technical Note\u2014Maintaining the All-Integer Property of an ILP when Using Cuts in Rational Data","display_name":"Technical Note\u2014Maintaining the All-Integer Property of an ILP when Using Cuts in Rational Data","publication_year":1982,"publication_date":"1982-02-01","ids":{"openalex":"https://openalex.org/W2010509467","doi":"https://doi.org/10.1287/opre.30.1.208","mag":"2010509467"},"language":"en","primary_location":{"id":"doi:10.1287/opre.30.1.208","is_oa":false,"landing_page_url":"https://doi.org/10.1287/opre.30.1.208","pdf_url":null,"source":{"id":"https://openalex.org/S125775545","display_name":"Operations Research","issn_l":"0030-364X","issn":["0030-364X","1526-5463"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research","raw_type":"journal-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/A5087469787","display_name":"S\u00f8ren Holm","orcid":"https://orcid.org/0000-0002-7200-5607"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"S\u00f8ren Holm","raw_affiliation_strings":["Odense University, Odense, Denmark","Odense University, Odense, Denmark#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Odense University, Odense, Denmark","institution_ids":[]},{"raw_affiliation_string":"Odense University, Odense, Denmark#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5087469787"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14887817,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"1","first_page":"208","last_page":"209"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.7232000231742859,"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"}},"topics":[{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.7232000231742859,"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/T11606","display_name":"Infrastructure Maintenance and Monitoring","score":0.6575000286102295,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.6560999751091003,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.7529646158218384},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.7396926283836365},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6517553925514221},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5212098360061646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4768194556236267},{"id":"https://openalex.org/keywords/branch-and-price","display_name":"Branch and price","score":0.42700815200805664},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4013846218585968}],"concepts":[{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.7529646158218384},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.7396926283836365},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6517553925514221},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5212098360061646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4768194556236267},{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.42700815200805664},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4013846218585968},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1287/opre.30.1.208","is_oa":false,"landing_page_url":"https://doi.org/10.1287/opre.30.1.208","pdf_url":null,"source":{"id":"https://openalex.org/S125775545","display_name":"Operations Research","issn_l":"0030-364X","issn":["0030-364X","1526-5463"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315699","host_organization_name":"Institute for Operations Research and the Management Sciences","host_organization_lineage":["https://openalex.org/P4310315699"],"host_organization_lineage_names":["Institute for Operations Research and the Management Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:inm:oropre:v:30:y:1982:i:1:p:208-209","is_oa":false,"landing_page_url":"http://doi.org/10.1287/opre.30.1.208","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W2009683816","https://openalex.org/W2103254960","https://openalex.org/W2126677049","https://openalex.org/W2127470768"],"related_works":["https://openalex.org/W4302819359","https://openalex.org/W2769220156","https://openalex.org/W4210880521","https://openalex.org/W2769538987","https://openalex.org/W2941114593","https://openalex.org/W4300803591","https://openalex.org/W2009796757","https://openalex.org/W2082154838","https://openalex.org/W1711527768","https://openalex.org/W2044902158"],"abstract_inverted_index":{"If":[0],"all":[1,26],"data":[2],"for":[3],"an":[4,45,52,58,69],"ILP":[5,70],"is":[6,11,64],"integer":[7],"and":[8,29],"a":[9,19,85],"cut":[10,23],"given":[12],"in":[13],"rational":[14],"data,":[15],"then":[16],"there":[17],"exists":[18],"transformation":[20,50],"of":[21,60],"the":[22,27,30,39],"such":[24],"that":[25],"coefficients":[28],"right":[31],"hand":[32],"side":[33],"constant":[34],"are":[35,80],"integers,":[36],"thus":[37],"requiring":[38],"slack":[40],"variable":[41],"also":[42],"to":[43,67,82],"be":[44],"integer.":[46],"By":[47],"repeating":[48],"this":[49,61],"inductively":[51],"all-integer":[53],"problem":[54],"remains":[55],"all-integer.":[56],"As":[57,77],"application":[59],"result,":[62],"it":[63],"shown":[65],"how":[66],"solve":[68],"by":[71],"using":[72],"transformed":[73],"strong":[74],"MILP":[75],"cuts.":[76],"these":[78],"cuts":[79],"superior":[81],"fractional":[83],"cuts,":[84],"more":[86],"efficient":[87],"algorithm":[88],"results.":[89]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
