{"id":"https://openalex.org/W2069091468","doi":"https://doi.org/10.1051/ro/2009002","title":"An algorithm for multiparametric 0-1-Integer Programming problems relative to a generalized min max objective function","display_name":"An algorithm for multiparametric 0-1-Integer Programming problems relative to a generalized min max objective function","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2069091468","doi":"https://doi.org/10.1051/ro/2009002","mag":"2069091468"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2009002","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2009002","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.numdam.org/item/10.1051/ro/2009002.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079498380","display_name":"Jos\u00e9 Luis Quintero","orcid":null},"institutions":[{"id":"https://openalex.org/I82002896","display_name":"Central University of Venezuela","ror":"https://ror.org/05kacnm89","country_code":"VE","type":"education","lineage":["https://openalex.org/I82002896"]}],"countries":["VE"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 Luis Quintero","raw_affiliation_strings":["Departamento de Matem\u00e1ticas Aplicadas, Facultad de Ingenier\u00eda, Universidad Central de Venezuela, Apartado 47002, Caracas 1041-A, Venezuela; quinterojl@tutopia.com"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas Aplicadas, Facultad de Ingenier\u00eda, Universidad Central de Venezuela, Apartado 47002, Caracas 1041-A, Venezuela; quinterojl@tutopia.com","institution_ids":["https://openalex.org/I82002896"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091725135","display_name":"Alejandro Crema","orcid":"https://orcid.org/0000-0001-7977-2916"},"institutions":[{"id":"https://openalex.org/I82002896","display_name":"Central University of Venezuela","ror":"https://ror.org/05kacnm89","country_code":"VE","type":"education","lineage":["https://openalex.org/I82002896"]}],"countries":["VE"],"is_corresponding":false,"raw_author_name":"Alejandro Crema","raw_affiliation_strings":["Escuela de Computaci\u00f3n, Facultad de Ciencias, Universidad Central de Venezuela, Apartado 47002, Caracas 1041-A, Venezuela; acrema@kuaimare.ciens.ucv.ve","Escuela de Computaci\u00f3n, Facultad de Ciencias, Universidad Central de Venezuela. Apartado 47002, Caracas 1041-A, Venezuela; acrema@kuaimare.ciens.ucv.ve"],"affiliations":[{"raw_affiliation_string":"Escuela de Computaci\u00f3n, Facultad de Ciencias, Universidad Central de Venezuela, Apartado 47002, Caracas 1041-A, Venezuela; acrema@kuaimare.ciens.ucv.ve","institution_ids":["https://openalex.org/I82002896"]},{"raw_affiliation_string":"Escuela de Computaci\u00f3n, Facultad de Ciencias, Universidad Central de Venezuela. Apartado 47002, Caracas 1041-A, Venezuela; acrema@kuaimare.ciens.ucv.ve","institution_ids":["https://openalex.org/I82002896"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079498380"],"corresponding_institution_ids":["https://openalex.org/I82002896"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.0847406,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"43","issue":"1","first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.9977999925613403,"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":0.9977999925613403,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9955000281333923,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6999657154083252},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5957537293434143},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5780046582221985},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.566945493221283},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4750780463218689},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4565557539463043},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4534010589122772},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.43370646238327026},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3895792067050934},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28276586532592773}],"concepts":[{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6999657154083252},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5957537293434143},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5780046582221985},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.566945493221283},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4750780463218689},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4565557539463043},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4534010589122772},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.43370646238327026},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3895792067050934},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28276586532592773},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ro/2009002","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro/2009002","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:RO_2009__43_1_1_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ro/2009002/","pdf_url":"https://www.numdam.org/item/10.1051/ro/2009002.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:numdam.org:RO_2009__43_1_1_0","is_oa":true,"landing_page_url":"http://www.numdam.org/articles/10.1051/ro/2009002/","pdf_url":"https://www.numdam.org/item/10.1051/ro/2009002.pdf","source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323869","display_name":"Consejo de Desarrollo Cient\u00edfico y Human\u00edstico, Universidad Central de Venezuela","ror":"https://ror.org/05kacnm89"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2069091468.pdf"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W306515463","https://openalex.org/W1969640883","https://openalex.org/W1984630663","https://openalex.org/W1985289934","https://openalex.org/W1986890083","https://openalex.org/W1986918840","https://openalex.org/W1992851855","https://openalex.org/W1995834363","https://openalex.org/W2000032443","https://openalex.org/W2035061152","https://openalex.org/W2039686757","https://openalex.org/W2057762828","https://openalex.org/W2061475578","https://openalex.org/W2068279233","https://openalex.org/W2073142156","https://openalex.org/W2075740111","https://openalex.org/W2090839948","https://openalex.org/W2097850690","https://openalex.org/W2115490543","https://openalex.org/W2117538883","https://openalex.org/W2135187522","https://openalex.org/W2138984903","https://openalex.org/W2169735180","https://openalex.org/W2171267841","https://openalex.org/W2398051100"],"related_works":["https://openalex.org/W2807251790","https://openalex.org/W2052299349","https://openalex.org/W1901944325","https://openalex.org/W1925942709","https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2082154838","https://openalex.org/W2109912052","https://openalex.org/W1711527768","https://openalex.org/W2079849989"],"abstract_inverted_index":{"The":[0],"multiparametric":[1,39],"0-1-Integer":[2],"Programming":[3],"(0-1-IP)":[4],"problem":[5],"relative":[6,41],"to":[7,35,42],"the":[8,51],"objective":[9,47],"function":[10,48],"is":[11],"a":[12,37,43],"family":[13],"of":[14],"0-1-IP":[15],"problems":[16],"which":[17],"are":[18,57],"related":[19],"by":[20],"having":[21],"identical":[22],"constraint":[23],"matrix":[24],"and":[25,54],"right-hand-side":[26],"vector.":[27],"In":[28],"this":[29],"paper":[30],"we":[31],"present":[32],"an":[33],"algorithm":[34],"perform":[36],"complete":[38],"analysis":[40],"generalized":[44],"min":[45,52,55],"max":[46,56],"such":[49],"that":[50],"sum":[53],"particular":[58],"cases.":[59]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
