{"id":"https://openalex.org/W2761119336","doi":"https://doi.org/10.1007/s10107-017-1197-5","title":"Valid inequalities for separable concave constraints with indicator variables","display_name":"Valid inequalities for separable concave constraints with indicator variables","publication_year":2017,"publication_date":"2017-10-04","ids":{"openalex":"https://openalex.org/W2761119336","doi":"https://doi.org/10.1007/s10107-017-1197-5","mag":"2761119336"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-017-1197-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-017-1197-5","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/A5076354679","display_name":"Cong Han Lim","orcid":"https://orcid.org/0000-0002-2033-4927"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]},{"id":"https://openalex.org/I2802999273","display_name":"Wisconsin Institutes for Discovery","ror":"https://ror.org/05gbven85","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2802999273"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Cong Han Lim","raw_affiliation_strings":["Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI, USA","Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074","https://openalex.org/I2802999273"]},{"raw_affiliation_string":"Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, USA","institution_ids":["https://openalex.org/I135310074","https://openalex.org/I2802999273"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046029284","display_name":"Jeff Linderoth","orcid":"https://orcid.org/0000-0003-4442-3059"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]},{"id":"https://openalex.org/I2802999273","display_name":"Wisconsin Institutes for Discovery","ror":"https://ror.org/05gbven85","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2802999273"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeff Linderoth","raw_affiliation_strings":["Department of Industrial and Systems Engineering, Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI, USA","Department of Industrial and Systems Engineering, Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074","https://openalex.org/I2802999273"]},{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, USA","institution_ids":["https://openalex.org/I135310074","https://openalex.org/I2802999273"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035469433","display_name":"James Luedtke","orcid":"https://orcid.org/0000-0001-9265-7728"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]},{"id":"https://openalex.org/I2802999273","display_name":"Wisconsin Institutes for Discovery","ror":"https://ror.org/05gbven85","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2802999273"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"James Luedtke","raw_affiliation_strings":["Department of Industrial and Systems Engineering, Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI, USA","Department of Industrial and Systems Engineering, Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, USA"],"raw_orcid":"https://orcid.org/0000-0001-9265-7728","affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074","https://openalex.org/I2802999273"]},{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, USA","institution_ids":["https://openalex.org/I135310074","https://openalex.org/I2802999273"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035469433"],"corresponding_institution_ids":["https://openalex.org/I135310074","https://openalex.org/I2802999273"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.1564,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52599829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"172","issue":"1-2","first_page":"415","last_page":"442"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.998199999332428,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9851999878883362,"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/concave-function","display_name":"Concave function","score":0.7700634598731995},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7444223165512085},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6306765079498291},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.5861004590988159},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5783942341804504},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.5434018969535828},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5316745638847351},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5079253315925598},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.5061394572257996},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.454153448343277},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4468313157558441},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.43088388442993164},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4300451874732971},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3614737391471863},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16288265585899353},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10731005668640137}],"concepts":[{"id":"https://openalex.org/C66690126","wikidata":"https://www.wikidata.org/wiki/Q2914302","display_name":"Concave function","level":3,"score":0.7700634598731995},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7444223165512085},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6306765079498291},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.5861004590988159},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5783942341804504},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.5434018969535828},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5316745638847351},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5079253315925598},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.5061394572257996},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.454153448343277},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4468313157558441},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.43088388442993164},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4300451874732971},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3614737391471863},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16288265585899353},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10731005668640137},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-017-1197-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-017-1197-5","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.550000011920929}],"awards":[{"id":"https://openalex.org/G993149817","display_name":null,"funder_award_id":"DE-AC02-06CH11357 ","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"}],"funders":[{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W48802902","https://openalex.org/W603729728","https://openalex.org/W1481126596","https://openalex.org/W1664252374","https://openalex.org/W1678581208","https://openalex.org/W1805238283","https://openalex.org/W1918578756","https://openalex.org/W1968111265","https://openalex.org/W1968119063","https://openalex.org/W1968143987","https://openalex.org/W1985990685","https://openalex.org/W2021674665","https://openalex.org/W2035881018","https://openalex.org/W2050339136","https://openalex.org/W2057291223","https://openalex.org/W2085844159","https://openalex.org/W2096586036","https://openalex.org/W2107474910","https://openalex.org/W2120803616","https://openalex.org/W2125263145","https://openalex.org/W2133304166","https://openalex.org/W2137972592","https://openalex.org/W2150855695","https://openalex.org/W2154264923","https://openalex.org/W2155066842","https://openalex.org/W2170427452","https://openalex.org/W2465942306","https://openalex.org/W2505968561","https://openalex.org/W2610216665","https://openalex.org/W4239256746","https://openalex.org/W4253741566"],"related_works":["https://openalex.org/W2030718493","https://openalex.org/W2469464399","https://openalex.org/W2103429114","https://openalex.org/W2897798781","https://openalex.org/W217463380","https://openalex.org/W2065436195","https://openalex.org/W2087482320","https://openalex.org/W2007238284","https://openalex.org/W1617984400","https://openalex.org/W2069826748"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}