{"id":"https://openalex.org/W2014220159","doi":"https://doi.org/10.1016/0166-218x(88)90077-7","title":"A unified approach for price directive decomposition procedures in integer programming","display_name":"A unified approach for price directive decomposition procedures in integer programming","publication_year":1988,"publication_date":"1988-07-01","ids":{"openalex":"https://openalex.org/W2014220159","doi":"https://doi.org/10.1016/0166-218x(88)90077-7","mag":"2014220159"},"language":"en","primary_location":{"id":"doi:10.1016/0166-218x(88)90077-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(88)90077-7","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","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":[{"id":"https://openalex.org/I3129642645","display_name":"Aarhus Business College","ror":"https://ror.org/05pvcyy59","country_code":"DK","type":"education","lineage":["https://openalex.org/I3129642645"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"S\u00f8ren Holm","raw_affiliation_strings":["Department of Management, Aarhus School of Economics, Fuglesangs All\u00e9 4, 8210 Aarhus V., Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Management, Aarhus School of Economics, Fuglesangs All\u00e9 4, 8210 Aarhus V., Denmark","institution_ids":["https://openalex.org/I3129642645"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109486816","display_name":"J\u00f8rgen Tind","orcid":null},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"J\u00f8rgen Tind","raw_affiliation_strings":["Department of Operations Research, University of Aarhus, Build, 530, Ny Munkegade, 8000 Aarhus C., Denmark","#N#            \u2020University of Aarhus, Aarhus, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Operations Research, University of Aarhus, Build, 530, Ny Munkegade, 8000 Aarhus C., Denmark","institution_ids":["https://openalex.org/I204337017"]},{"raw_affiliation_string":"#N#            \u2020University of Aarhus, Aarhus, Denmark","institution_ids":["https://openalex.org/I204337017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087469787"],"corresponding_institution_ids":["https://openalex.org/I3129642645"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":1.2751,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.80024067,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"3","first_page":"205","last_page":"219"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9954000115394592,"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"}},"topics":[{"id":"https://openalex.org/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9954000115394592,"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"}},{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9940000176429749,"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"}},{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.7010496854782104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7008535861968994},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6702582836151123},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6018184423446655},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5862820744514465},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5735902190208435},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5621816515922546},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5358219146728516},{"id":"https://openalex.org/keywords/directive","display_name":"Directive","score":0.5042816400527954},{"id":"https://openalex.org/keywords/branch-and-price","display_name":"Branch and price","score":0.47744280099868774},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4171525239944458},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4100829064846039},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1790512204170227},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07566657662391663}],"concepts":[{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.7010496854782104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7008535861968994},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6702582836151123},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6018184423446655},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5862820744514465},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5735902190208435},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5621816515922546},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5358219146728516},{"id":"https://openalex.org/C2779547435","wikidata":"https://www.wikidata.org/wiki/Q1121492","display_name":"Directive","level":2,"score":0.5042816400527954},{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.47744280099868774},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4171525239944458},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4100829064846039},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1790512204170227},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07566657662391663},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0166-218x(88)90077-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0166-218x(88)90077-7","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W2554134","https://openalex.org/W1957176470","https://openalex.org/W1983743030","https://openalex.org/W2008131758","https://openalex.org/W2048233275","https://openalex.org/W2068913356","https://openalex.org/W2080875922","https://openalex.org/W2325671244","https://openalex.org/W2334680396","https://openalex.org/W2336259629","https://openalex.org/W2796809733","https://openalex.org/W4248550585","https://openalex.org/W6641089821"],"related_works":["https://openalex.org/W4210880521","https://openalex.org/W2110818895","https://openalex.org/W4230854124","https://openalex.org/W3006617646","https://openalex.org/W2158503982","https://openalex.org/W2048233275","https://openalex.org/W51852799","https://openalex.org/W41132256","https://openalex.org/W1965740321","https://openalex.org/W3116484972"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}