{"id":"https://openalex.org/W2040529625","doi":"https://doi.org/10.1023/a:1008249414776","title":"Global Optimization of Nonconvex Polynomial Programming Problems Having Rational Exponents","display_name":"Global Optimization of Nonconvex Polynomial Programming Problems Having Rational Exponents","publication_year":1998,"publication_date":"1998-04-01","ids":{"openalex":"https://openalex.org/W2040529625","doi":"https://doi.org/10.1023/a:1008249414776","mag":"2040529625"},"language":"en","primary_location":{"id":"doi:10.1023/a:1008249414776","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008249414776","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/A5043357545","display_name":"Hanif D. Sherali","orcid":null},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Hanif D. Sherali","raw_affiliation_strings":["Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061-0118, U.S.A","Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061\u20100118, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061-0118, U.S.A","institution_ids":["https://openalex.org/I859038795"]},{"raw_affiliation_string":"Department of Industrial and Systems Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061\u20100118, U.S.A","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043357545"],"corresponding_institution_ids":["https://openalex.org/I859038795"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.9297,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.74822064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"12","issue":"3","first_page":"267","last_page":"283"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"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":0.9994999766349792,"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/T11502","display_name":"Facility Location and Emergency Management","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1407","display_name":"Organizational Behavior and Human Resource Management"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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":0.865801215171814},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6990642547607422},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6600422859191895},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5191164016723633},{"id":"https://openalex.org/keywords/geometric-programming","display_name":"Geometric programming","score":0.5000169277191162},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4827565550804138},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.45985206961631775},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.4226100444793701},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4136978089809418},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35021063685417175},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12664693593978882},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11897280812263489}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.865801215171814},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6990642547607422},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6600422859191895},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5191164016723633},{"id":"https://openalex.org/C20729856","wikidata":"https://www.wikidata.org/wiki/Q2078279","display_name":"Geometric programming","level":2,"score":0.5000169277191162},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4827565550804138},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.45985206961631775},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.4226100444793701},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4136978089809418},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35021063685417175},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12664693593978882},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11897280812263489},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1008249414776","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1008249414776","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/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1499399028","https://openalex.org/W1527543086","https://openalex.org/W1564596346","https://openalex.org/W1587078255","https://openalex.org/W1968511016","https://openalex.org/W1974138128","https://openalex.org/W1978797771","https://openalex.org/W1979917698","https://openalex.org/W1980210920","https://openalex.org/W1994526734","https://openalex.org/W1997062006","https://openalex.org/W1998077069","https://openalex.org/W2011540169","https://openalex.org/W2021103874","https://openalex.org/W2027212082","https://openalex.org/W2028064704","https://openalex.org/W2029485617","https://openalex.org/W2030421158","https://openalex.org/W2032834460","https://openalex.org/W2048881327","https://openalex.org/W2053272802","https://openalex.org/W2063190731","https://openalex.org/W2067100964","https://openalex.org/W2070226140","https://openalex.org/W2085457376","https://openalex.org/W2089788854","https://openalex.org/W2293835388","https://openalex.org/W3006716693","https://openalex.org/W4211141987","https://openalex.org/W4233154616","https://openalex.org/W4235547044","https://openalex.org/W4237662599","https://openalex.org/W4239256746","https://openalex.org/W4245022931","https://openalex.org/W4248341828","https://openalex.org/W4301055902","https://openalex.org/W4302807930"],"related_works":["https://openalex.org/W2207963064","https://openalex.org/W4206794813","https://openalex.org/W2015946634","https://openalex.org/W2402188535","https://openalex.org/W2941986668","https://openalex.org/W1974138128","https://openalex.org/W4293098717","https://openalex.org/W4385791789","https://openalex.org/W3122622961","https://openalex.org/W2074582983"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-08T23:21:52.890332","created_date":"2016-06-24T00:00:00"}
