{"id":"https://openalex.org/W1548640495","doi":"https://doi.org/10.1007/s10107-003-0450-2","title":"Strong formulations for mixed integer programs: valid inequalities and extended formulations","display_name":"Strong formulations for mixed integer programs: valid inequalities and extended formulations","publication_year":2003,"publication_date":"2003-07-01","ids":{"openalex":"https://openalex.org/W1548640495","doi":"https://doi.org/10.1007/s10107-003-0450-2","mag":"1548640495"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-003-0450-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-003-0450-2","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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 Programming","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/A5070306586","display_name":"Laurence A. Wolsey","orcid":"https://orcid.org/0000-0001-5330-6239"},"institutions":[{"id":"https://openalex.org/I95674353","display_name":"UCLouvain","ror":"https://ror.org/02495e989","country_code":"BE","type":"education","lineage":["https://openalex.org/I95674353"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Laurence A. Wolsey","raw_affiliation_strings":["CORE and INMA, Universit\u00e9 Catholique de Louvain, Belgium, , BE","CORE and INMA, Universit\u00e9 Catholique de Louvain, Belgium, BE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CORE and INMA, Universit\u00e9 Catholique de Louvain, Belgium, , BE","institution_ids":["https://openalex.org/I95674353"]},{"raw_affiliation_string":"CORE and INMA, Universit\u00e9 Catholique de Louvain, Belgium, BE","institution_ids":["https://openalex.org/I95674353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070306586"],"corresponding_institution_ids":["https://openalex.org/I95674353"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":2.5552,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.88529432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"97","issue":"1","first_page":"423","last_page":"447"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9986000061035156,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9986000061035156,"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/T12288","display_name":"Optimization and Search Problems","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9959999918937683,"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/mathematics","display_name":"Mathematics","score":0.7349838018417358},{"id":"https://openalex.org/keywords/knapsack-problem","display_name":"Knapsack problem","score":0.7312051653862},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6582173109054565},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5957934260368347},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.56830233335495},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5633497834205627},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4015757441520691},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3603549599647522},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18003711104393005},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06313392519950867}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7349838018417358},{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.7312051653862},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6582173109054565},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5957934260368347},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.56830233335495},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5633497834205627},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4015757441520691},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3603549599647522},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18003711104393005},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06313392519950867},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10107-003-0450-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-003-0450-2","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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 Programming","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:cor:louvrp:1627","is_oa":false,"landing_page_url":"http://doi.org/10.1007/s10107-003-0450-2","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":"preprint"},{"id":"pmh:oai:dial.uclouvain.be:boreal:18086","is_oa":false,"landing_page_url":"http://hdl.handle.net/2078/18086","pdf_url":null,"source":{"id":"https://openalex.org/S4306401974","display_name":"DIAL (Catholic University of Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Programming, Vol. 97, no. 1-2, p. 423-447 (Juillet 2003)","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.47999998927116394,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W1481126596","https://openalex.org/W1537316992","https://openalex.org/W1564540124","https://openalex.org/W1607580485","https://openalex.org/W1664252374","https://openalex.org/W1700336484","https://openalex.org/W1783633569","https://openalex.org/W1822524951","https://openalex.org/W1968143987","https://openalex.org/W1970193303","https://openalex.org/W1985123706","https://openalex.org/W1985862636","https://openalex.org/W1985990685","https://openalex.org/W1989905452","https://openalex.org/W1990585107","https://openalex.org/W1995151259","https://openalex.org/W2007126271","https://openalex.org/W2009082978","https://openalex.org/W2011943258","https://openalex.org/W2012329067","https://openalex.org/W2018714454","https://openalex.org/W2021043398","https://openalex.org/W2040035868","https://openalex.org/W2046269316","https://openalex.org/W2046300504","https://openalex.org/W2049143039","https://openalex.org/W2053930851","https://openalex.org/W2061031797","https://openalex.org/W2065803772","https://openalex.org/W2068848618","https://openalex.org/W2070045881","https://openalex.org/W2073115205","https://openalex.org/W2081055047","https://openalex.org/W2087947577","https://openalex.org/W2088879400","https://openalex.org/W2097731353","https://openalex.org/W2103254960","https://openalex.org/W2106264302","https://openalex.org/W2106495447","https://openalex.org/W2107474910","https://openalex.org/W2112538451","https://openalex.org/W2113912706","https://openalex.org/W2114587443","https://openalex.org/W2120803616","https://openalex.org/W2132324770","https://openalex.org/W2134275387","https://openalex.org/W2137972592","https://openalex.org/W2155163038","https://openalex.org/W2168328014","https://openalex.org/W2173347621","https://openalex.org/W2600519231","https://openalex.org/W3124498598"],"related_works":["https://openalex.org/W241127407","https://openalex.org/W2381035939","https://openalex.org/W2468477307","https://openalex.org/W2910645127","https://openalex.org/W162895179","https://openalex.org/W1925942709","https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2109912052","https://openalex.org/W1711527768"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}