{"id":"https://openalex.org/W2095053645","doi":"https://doi.org/10.1007/s10107-007-0190-9","title":"Valid inequalities for MIPs and group polyhedra from approximate liftings","display_name":"Valid inequalities for MIPs and group polyhedra from approximate liftings","publication_year":2007,"publication_date":"2007-10-15","ids":{"openalex":"https://openalex.org/W2095053645","doi":"https://doi.org/10.1007/s10107-007-0190-9","mag":"2095053645"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-007-0190-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-007-0190-9","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/A5089190845","display_name":"Jean\u2010Philippe P. Richard","orcid":"https://orcid.org/0000-0001-5641-0939"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jean-Philippe P. Richard","raw_affiliation_strings":["School of Industrial Engineering, Purdue University, 315 N. Grant Street, West Lafayette, IN, 47907-2023, USA","Purdue University, School of Industrial Engineering, 315 N. Grant Street, 47907-2023, West Lafayette, IN, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Industrial Engineering, Purdue University, 315 N. Grant Street, West Lafayette, IN, 47907-2023, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Purdue University, School of Industrial Engineering, 315 N. Grant Street, 47907-2023, West Lafayette, IN, USA#TAB#","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100382137","display_name":"Yanjun Li","orcid":"https://orcid.org/0000-0003-4676-6223"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]},{"id":"https://openalex.org/I159548981","display_name":"State Street (United States)","ror":"https://ror.org/0116zdb24","country_code":"US","type":"company","lineage":["https://openalex.org/I159548981"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yanjun Li","raw_affiliation_strings":["Krannert School of Management, Purdue University, 403 W. State Street, West Lafayette, IN, 47907-2056, USA","Purdue University, Krannert School of Management, 403 W. State Street, 47907-2056, West Lafayette, IN, USA"],"affiliations":[{"raw_affiliation_string":"Krannert School of Management, Purdue University, 403 W. State Street, West Lafayette, IN, 47907-2056, USA","institution_ids":["https://openalex.org/I159548981"]},{"raw_affiliation_string":"Purdue University, Krannert School of Management, 403 W. State Street, 47907-2056, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104688542","display_name":"Lisa A. Miller","orcid":null},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lisa A. Miller","raw_affiliation_strings":["Department of Mechanical Engineering, University of Minnesota, 111 Church Street S.E., Minneapolis, MN, 55455, USA","University of Minnesota, Department of Mechanical Engineering, 111 Church Street S.E., 55455, Minneapolis, MN, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Minnesota, 111 Church Street S.E., Minneapolis, MN, 55455, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"University of Minnesota, Department of Mechanical Engineering, 111 Church Street S.E., 55455, Minneapolis, MN, USA#TAB#","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089190845"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.9531,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.94386757,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"118","issue":"2","first_page":"253","last_page":"277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9933000206947327,"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/superadditivity","display_name":"Superadditivity","score":0.9259583950042725},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8657047748565674},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.7291504144668579},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6842714548110962},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6672277450561523},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.662526547908783},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6376764178276062},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5483177900314331},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5477286577224731},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5090343356132507},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4228944480419159},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.4105857312679291},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39354208111763},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38796406984329224},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37474578619003296},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32980790734291077},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17526522278785706},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1309659779071808},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0968034565448761}],"concepts":[{"id":"https://openalex.org/C20017120","wikidata":"https://www.wikidata.org/wiki/Q922087","display_name":"Superadditivity","level":2,"score":0.9259583950042725},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8657047748565674},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.7291504144668579},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6842714548110962},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6672277450561523},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.662526547908783},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6376764178276062},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5483177900314331},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5477286577224731},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5090343356132507},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4228944480419159},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.4105857312679291},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39354208111763},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38796406984329224},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37474578619003296},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32980790734291077},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17526522278785706},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1309659779071808},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0968034565448761},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","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},{"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":1,"locations":[{"id":"doi:10.1007/s10107-007-0190-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-007-0190-9","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W36169824","https://openalex.org/W612467775","https://openalex.org/W1481126596","https://openalex.org/W1580937663","https://openalex.org/W1594264634","https://openalex.org/W1922855725","https://openalex.org/W1965681691","https://openalex.org/W1971441351","https://openalex.org/W1987396831","https://openalex.org/W1995151259","https://openalex.org/W2006934540","https://openalex.org/W2007126271","https://openalex.org/W2034186905","https://openalex.org/W2058732533","https://openalex.org/W2065803772","https://openalex.org/W2073057258","https://openalex.org/W2074122434","https://openalex.org/W2103254960","https://openalex.org/W2112538451","https://openalex.org/W2145243417","https://openalex.org/W2158515702","https://openalex.org/W2160294322","https://openalex.org/W2490340839","https://openalex.org/W4236743999"],"related_works":["https://openalex.org/W2228244008","https://openalex.org/W3005326639","https://openalex.org/W1495969065","https://openalex.org/W2003264207","https://openalex.org/W1564988436","https://openalex.org/W2027551342","https://openalex.org/W1993203440","https://openalex.org/W1976764133","https://openalex.org/W2074134927","https://openalex.org/W1922855725"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}