{"id":"https://openalex.org/W1977098977","doi":"https://doi.org/10.1137/s1052623402401579","title":"Extended Active Constraints in Linear Optimization with Applications","display_name":"Extended Active Constraints in Linear Optimization with Applications","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1977098977","doi":"https://doi.org/10.1137/s1052623402401579","mag":"1977098977"},"language":"en","primary_location":{"id":"doi:10.1137/s1052623402401579","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623402401579","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","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/A5016160092","display_name":"Miguel \u00c1. Goberna","orcid":"https://orcid.org/0000-0002-5363-7991"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. A. Goberna","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100715600","display_name":"Marco A. L\u00f3pez","orcid":"https://orcid.org/0000-0002-0619-9618"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. A. L\u00f3pez","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5010829936","display_name":"M. I. Todorov","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. I. Todorov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.456,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.81083533,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"14","issue":"2","first_page":"608","last_page":"619"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9984999895095825,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9984999895095825,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9984999895095825,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9854000210762024,"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/mathematics","display_name":"Mathematics","score":0.7777485847473145},{"id":"https://openalex.org/keywords/extreme-point","display_name":"Extreme point","score":0.6739563941955566},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.668051540851593},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5778036117553711},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5705133676528931},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5516610145568848},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.46561717987060547},{"id":"https://openalex.org/keywords/linear-inequality","display_name":"Linear inequality","score":0.464174747467041},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.43022146821022034},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.41914474964141846},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.3138120770454407},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0867542028427124},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06313514709472656}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7777485847473145},{"id":"https://openalex.org/C39847760","wikidata":"https://www.wikidata.org/wiki/Q1385465","display_name":"Extreme point","level":2,"score":0.6739563941955566},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.668051540851593},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5778036117553711},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5705133676528931},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5516610145568848},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.46561717987060547},{"id":"https://openalex.org/C84135550","wikidata":"https://www.wikidata.org/wiki/Q3154022","display_name":"Linear inequality","level":3,"score":0.464174747467041},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.43022146821022034},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.41914474964141846},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.3138120770454407},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0867542028427124},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06313514709472656},{"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:10.1137/s1052623402401579","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s1052623402401579","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6100000143051147,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W83112366","https://openalex.org/W128752299","https://openalex.org/W1973520969","https://openalex.org/W1982061606","https://openalex.org/W1994483650","https://openalex.org/W2026588843","https://openalex.org/W2072776694","https://openalex.org/W2078174180"],"related_works":["https://openalex.org/W2965106131","https://openalex.org/W2114808974","https://openalex.org/W25030584","https://openalex.org/W29231041","https://openalex.org/W3125179639","https://openalex.org/W2094757704","https://openalex.org/W3777771","https://openalex.org/W3092736858","https://openalex.org/W2987086094","https://openalex.org/W2041443873"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"introduce":[4],"different":[5],"relaxations":[6],"of":[7,10,29],"the":[8],"concept":[9],"active":[11],"constraint":[12],"at":[13],"a":[14,20,47,53,60],"given":[15,48],"point":[16],"with":[17,25],"respect":[18],"to":[19,51],"certain":[21],"linear":[22,41],"inequality":[23],"system":[24],"an":[26],"arbitrary":[27],"number":[28],"constraints.":[30],"We":[31],"show":[32],"that":[33],"these":[34],"concepts":[35],"provide":[36],"useful":[37],"local":[38],"information":[39],"in":[40],"optimization,":[42],"for":[43,46],"instance":[44],"conditions":[45],"feasible":[49],"solution":[50,58],"be":[52],"unique,":[54],"extreme":[55],"point,":[56],"optimal":[57,63],"or":[59],"strongly":[61],"unique":[62],"solution.":[64]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
