{"id":"https://openalex.org/W2280657913","doi":"https://doi.org/10.1023/a:1008316429329","title":"An Outcome Space Branch and Bound-Outer Approximation Algorithm for Convex Multiplicative Programming","display_name":"An Outcome Space Branch and Bound-Outer Approximation Algorithm for Convex Multiplicative Programming","publication_year":1999,"publication_date":"1999-12-01","ids":{"openalex":"https://openalex.org/W2280657913","doi":"https://doi.org/10.1023/a:1008316429329","mag":"2280657913"},"language":"en","primary_location":{"id":"doi:10.1023/a:1008316429329","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008316429329","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/A5005799055","display_name":"Harold P. Benson","orcid":null},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Harold P. Benson","raw_affiliation_strings":["College of Business Administration, Department of Decision and Information Sciences, University of Florida, Gainesville, FL, 32611-7169, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Business Administration, Department of Decision and Information Sciences, University of Florida, Gainesville, FL, 32611-7169, USA","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005799055"],"corresponding_institution_ids":["https://openalex.org/I33213144"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":2.0064,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.8660325,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"4","first_page":"315","last_page":"342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994000196456909,"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":0.9994000196456909,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9991999864578247,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9916999936103821,"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":0.7719870805740356},{"id":"https://openalex.org/keywords/quasiconvex-function","display_name":"Quasiconvex function","score":0.6762832403182983},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5645615458488464},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5426514744758606},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.5180187821388245},{"id":"https://openalex.org/keywords/outcome","display_name":"Outcome (game theory)","score":0.463897705078125},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.452970951795578},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4316880702972412},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4291994571685791},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.3861289620399475},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3415299654006958},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.32539933919906616},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3036596179008484},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18802514672279358}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7719870805740356},{"id":"https://openalex.org/C80278974","wikidata":"https://www.wikidata.org/wiki/Q1126412","display_name":"Quasiconvex function","level":5,"score":0.6762832403182983},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5645615458488464},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5426514744758606},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.5180187821388245},{"id":"https://openalex.org/C148220186","wikidata":"https://www.wikidata.org/wiki/Q7111912","display_name":"Outcome (game theory)","level":2,"score":0.463897705078125},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.452970951795578},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4316880702972412},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4291994571685791},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.3861289620399475},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3415299654006958},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.32539933919906616},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3036596179008484},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18802514672279358},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1008316429329","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008316429329","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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W167138647","https://openalex.org/W1499399028","https://openalex.org/W1500929526","https://openalex.org/W1510457474","https://openalex.org/W1536316748","https://openalex.org/W1972204922","https://openalex.org/W1973576195","https://openalex.org/W1975339028","https://openalex.org/W1977816751","https://openalex.org/W1978344132","https://openalex.org/W1984851257","https://openalex.org/W1986679986","https://openalex.org/W1988622494","https://openalex.org/W1989218402","https://openalex.org/W2004203863","https://openalex.org/W2022484305","https://openalex.org/W2031855518","https://openalex.org/W2034713829","https://openalex.org/W2037388556","https://openalex.org/W2040254700","https://openalex.org/W2050513930","https://openalex.org/W2058469120","https://openalex.org/W2058558758","https://openalex.org/W2078340238","https://openalex.org/W2090208682","https://openalex.org/W2090883631","https://openalex.org/W2093404847","https://openalex.org/W2100932117","https://openalex.org/W2163603148","https://openalex.org/W2301746362","https://openalex.org/W2610216665","https://openalex.org/W4239256746","https://openalex.org/W4246290318","https://openalex.org/W4253845129","https://openalex.org/W4300987062"],"related_works":["https://openalex.org/W2039848558","https://openalex.org/W2371757614","https://openalex.org/W2353108772","https://openalex.org/W2063287401","https://openalex.org/W4251085027","https://openalex.org/W2386776468","https://openalex.org/W4232994841","https://openalex.org/W2384568502","https://openalex.org/W2349488360","https://openalex.org/W3106804050"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}