{"id":"https://openalex.org/W2031828610","doi":"https://doi.org/10.1016/0024-3795(70)90008-x","title":"A suboptimization method for interval linear programming: a new method for linear programming","display_name":"A suboptimization method for interval linear programming: a new method for linear programming","publication_year":1970,"publication_date":"1970-07-01","ids":{"openalex":"https://openalex.org/W2031828610","doi":"https://doi.org/10.1016/0024-3795(70)90008-x","mag":"2031828610"},"language":"en","primary_location":{"id":"doi:10.1016/0024-3795(70)90008-x","doi":"https://doi.org/10.1016/0024-3795(70)90008-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0024-3795(70)90008-x","pdf_url":null,"source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Linear Algebra and its Applications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/0024-3795(70)90008-x","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020522444","display_name":"Philip D. Robers","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Philip D. Robers","raw_affiliation_strings":["Northwestern University, Evanston, Illinois, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northwestern University, Evanston, Illinois, USA","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067095183","display_name":"Adi Ben-Israel","orcid":"https://orcid.org/0000-0003-0698-8526","observed_orcids":["https://orcid.org/0000-0003-0698-8526"]},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Adi Ben-Israel","raw_affiliation_strings":["Northwestern University, Evanston, Illinois, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northwestern University, Evanston, Illinois, USA","institution_ids":["https://openalex.org/I111979921"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I111979921"],"apc_list":{"value":3230,"currency":"USD","value_usd":3230},"apc_paid":null,"fwci":4.6833,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.93655462,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"3","issue":"3","first_page":"383","last_page":"405"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.6898999810218811,"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"}},"topics":[{"id":"https://openalex.org/T12709","display_name":"Optimization and Mathematical Programming","score":0.6898999810218811,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.20970000326633453,"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":0.0560000017285347,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interval-linear-programming","display_name":"interval linear programming","score":0.9990000128746033},{"id":"https://openalex.org/keywords/iterative-methods","display_name":"iterative methods","score":0.7509999871253967},{"id":"https://openalex.org/keywords/dual-method","display_name":"dual method","score":0.6850000023841858},{"id":"https://openalex.org/keywords/multiple-substitutions","display_name":"multiple substitutions","score":0.9520000219345093},{"id":"https://openalex.org/keywords/linear-programming","display_name":"linear programming","score":0.5559999942779541},{"id":"https://openalex.org/keywords/explicit-solutions","display_name":"explicit solutions","score":0.6209999918937683}],"concepts":[{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.7913504838943481},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7777632474899292},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5424102544784546},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.537590742111206},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44183480739593506},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.411201149225235},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3843715190887451},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3629295229911804},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3337186574935913},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2973858714103699},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08345606923103333},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0024-3795(70)90008-x","doi":"https://doi.org/10.1016/0024-3795(70)90008-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0024-3795(70)90008-x","pdf_url":null,"source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Linear Algebra and its Applications","raw_type":"journal-article"},{"id":"pmh:oai:alma.01RUT_INST:11664955070004646","doi":null,"is_oa":false,"landing_page_url":"https://scholarship.libraries.rutgers.edu/esploro/outputs/journalArticle/A-suboptimization-method-for-interval-linear/991031665497804646","pdf_url":null,"source":{"id":"https://openalex.org/S4306401388","display_name":"Rutgers University Community Repository (Rutgers University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I102322142","host_organization_name":"Rutgers, The State University of New Jersey","host_organization_lineage":["https://openalex.org/I102322142"],"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":"doi:10.1016/0024-3795(70)90008-x","doi":"https://doi.org/10.1016/0024-3795(70)90008-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0024-3795(70)90008-x","pdf_url":null,"source":{"id":"https://openalex.org/S159544283","display_name":"Linear Algebra and its Applications","issn_l":"0024-3795","issn":["0024-3795","1873-1856"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Linear Algebra and its Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W263360274","https://openalex.org/W1996622306","https://openalex.org/W2003662390","https://openalex.org/W2033620190","https://openalex.org/W2097969675","https://openalex.org/W2127470768","https://openalex.org/W2167324057","https://openalex.org/W2326954772","https://openalex.org/W2796604629","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2018958070","https://openalex.org/W2162246428","https://openalex.org/W2074758924","https://openalex.org/W2033620190","https://openalex.org/W2103882225","https://openalex.org/W2102857183","https://openalex.org/W2109925996","https://openalex.org/W7095313627","https://openalex.org/W2305705669","https://openalex.org/W4410911545"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}
