{"id":"https://openalex.org/W1513716913","doi":"https://doi.org/10.1023/a:1008376731013","title":"Minimization of the sum of three linear fractional functions","display_name":"Minimization of the sum of three linear fractional functions","publication_year":1999,"publication_date":"1999-12-01","ids":{"openalex":"https://openalex.org/W1513716913","doi":"https://doi.org/10.1023/a:1008376731013","mag":"1513716913"},"language":"en","primary_location":{"id":"doi:10.1023/a:1008376731013","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008376731013","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global 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/A5001687718","display_name":"Hiroshi Konno","orcid":"https://orcid.org/0000-0003-4784-1483"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroshi Konno","raw_affiliation_strings":["Department of Industrial Engineering and Management, Tokyo Institute of Technology, Japan","Department of Industrial Engineering and Management, Tokyo Institute of Technology, Japan;#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Management, Tokyo Institute of Technology, Japan","institution_ids":["https://openalex.org/I114531698"]},{"raw_affiliation_string":"Department of Industrial Engineering and Management, Tokyo Institute of Technology, Japan;#TAB#","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050507674","display_name":"Natsuroh Abe","orcid":null},"institutions":[{"id":"https://openalex.org/I4210165826","display_name":"Art Anderson Associates (United States)","ror":"https://ror.org/05qg6df59","country_code":"US","type":"company","lineage":["https://openalex.org/I4210165826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Natsuroh Abe","raw_affiliation_strings":["Arthur Anderson Co., Japan","Arthur Anderson Co., Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Arthur Anderson Co., Japan","institution_ids":["https://openalex.org/I4210165826"]},{"raw_affiliation_string":"Arthur Anderson Co., Japan#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":4.0431,"has_fulltext":false,"cited_by_count":70,"citation_normalized_percentile":{"value":0.93370166,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"15","issue":"4","first_page":"419","last_page":"432"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9882000088691711,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9882000088691711,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.983299970626831,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.8295703530311584},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6608878374099731},{"id":"https://openalex.org/keywords/simplex-algorithm","display_name":"Simplex algorithm","score":0.6185887455940247},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.506524920463562},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5051320195198059},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.48833391070365906},{"id":"https://openalex.org/keywords/linear-fractional-programming","display_name":"Linear-fractional programming","score":0.4601941406726837},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.4422946572303772},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.4399818480014801},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42835110425949097},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.4281238913536072},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42470696568489075},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09750038385391235}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8295703530311584},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6608878374099731},{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.6185887455940247},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.506524920463562},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5051320195198059},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.48833391070365906},{"id":"https://openalex.org/C205658194","wikidata":"https://www.wikidata.org/wiki/Q4168281","display_name":"Linear-fractional programming","level":3,"score":0.4601941406726837},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.4422946572303772},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.4399818480014801},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42835110425949097},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.4281238913536072},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42470696568489075},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09750038385391235},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1008376731013","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008376731013","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W36747366","https://openalex.org/W75157487","https://openalex.org/W90712649","https://openalex.org/W1499399028","https://openalex.org/W1518078339","https://openalex.org/W1558461690","https://openalex.org/W1905454362","https://openalex.org/W1963764014","https://openalex.org/W1964983476","https://openalex.org/W1967956032","https://openalex.org/W1972204922","https://openalex.org/W1973206104","https://openalex.org/W1973576195","https://openalex.org/W1984391506","https://openalex.org/W2018277783","https://openalex.org/W2034713829","https://openalex.org/W2040254700","https://openalex.org/W2048881327","https://openalex.org/W2056371558","https://openalex.org/W2138417090","https://openalex.org/W2156577211","https://openalex.org/W2163603148","https://openalex.org/W2566900571","https://openalex.org/W2610216665","https://openalex.org/W3150183338","https://openalex.org/W4248623816","https://openalex.org/W4249513058"],"related_works":["https://openalex.org/W2950505150","https://openalex.org/W4300524356","https://openalex.org/W2608864133","https://openalex.org/W1642182499","https://openalex.org/W4286870264","https://openalex.org/W2279275934","https://openalex.org/W4304687059","https://openalex.org/W4242784854","https://openalex.org/W1501666688","https://openalex.org/W2185826091"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2016-06-24T00:00:00"}
