{"id":"https://openalex.org/W2047480744","doi":"https://doi.org/10.1007/s001860100120","title":"Classical cuts for mixed-integer programming and branch-and-cut","display_name":"Classical cuts for mixed-integer programming and branch-and-cut","publication_year":2001,"publication_date":"2001-06-01","ids":{"openalex":"https://openalex.org/W2047480744","doi":"https://doi.org/10.1007/s001860100120","mag":"2047480744"},"language":"en","primary_location":{"id":"doi:10.1007/s001860100120","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001860100120","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research (ZOR)","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/A5034195079","display_name":"Manfred Padberg","orcid":null},"institutions":[{"id":"https://openalex.org/I4210136988","display_name":"D\u00e9l\u00e9gation Provence et Corse","ror":"https://ror.org/049qgqg40","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210136988","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Manfred Padberg","raw_affiliation_strings":["17, rue Vend\u00f4me, 13007 Marseille, France, , , , , , FR","17, rue Vend\u00f4me, 13007 Marseille, France, , FR"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"17, rue Vend\u00f4me, 13007 Marseille, France, , , , , , FR","institution_ids":["https://openalex.org/I4210136988"]},{"raw_affiliation_string":"17, rue Vend\u00f4me, 13007 Marseille, France, , FR","institution_ids":["https://openalex.org/I4210136988"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034195079"],"corresponding_institution_ids":["https://openalex.org/I4210136988"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.1497,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.86834516,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"53","issue":"2","first_page":"173","last_page":"203"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9921000003814697,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9921000003814697,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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":0.823391318321228},{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.8206170201301575},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.7684050798416138},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7379574775695801},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6265732049942017},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5805290341377258},{"id":"https://openalex.org/keywords/branch-and-price","display_name":"Branch and price","score":0.555219292640686},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.4585023522377014},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4485984742641449},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.43390557169914246},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.41397079825401306},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3807758390903473},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14510124921798706},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07623204588890076}],"concepts":[{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.823391318321228},{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.8206170201301575},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.7684050798416138},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7379574775695801},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6265732049942017},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5805290341377258},{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.555219292640686},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.4585023522377014},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4485984742641449},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.43390557169914246},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.41397079825401306},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3807758390903473},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14510124921798706},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07623204588890076},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s001860100120","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001860100120","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Methods of Operations Research (ZOR)","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:compst:v:53:y:2001:i:2:p:173-203","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s001860100120","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2009796757","https://openalex.org/W2769220156","https://openalex.org/W4252122881","https://openalex.org/W3006617646","https://openalex.org/W4210880521","https://openalex.org/W134055995","https://openalex.org/W2110818895","https://openalex.org/W2979455991","https://openalex.org/W1872737999","https://openalex.org/W2390148480"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
