{"id":"https://openalex.org/W2352547741","doi":null,"title":"A Deterministic Global Optimization Algorithm for Generalized Nonlinear Multiplicative Problems","display_name":"A Deterministic Global Optimization Algorithm for Generalized Nonlinear Multiplicative Problems","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2352547741","mag":"2352547741"},"language":"en","primary_location":{"id":"mag:2352547741","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-PYDX201206004.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764446922","display_name":"Journal of Xinxiang University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4366738737","host_organization_name":"Xinxiang University","host_organization_lineage":["https://openalex.org/P4366738737"],"host_organization_lineage_names":["Xinxiang University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Xinxiang University","raw_type":null},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5047147117","display_name":"XU Shou-fang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210165883","display_name":"Xinxiang University","ror":"https://ror.org/05qvskn85","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165883"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"XU Shou-fang","raw_affiliation_strings":["Department of Mathematics and Information Science,Xinxiang University,Xinxiang 453003,China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Information Science,Xinxiang University,Xinxiang 453003,China)","institution_ids":["https://openalex.org/I4210165883"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047147117"],"corresponding_institution_ids":["https://openalex.org/I4210165883"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9990000128746033,"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":0.9990000128746033,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.00039999998989515007,"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/T10545","display_name":"Optimization and Variational Analysis","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/global-optimization","display_name":"global optimization","score":0.8019999861717224},{"id":"https://openalex.org/keywords/deterministic-algorithms","display_name":"deterministic algorithms","score":0.671999990940094},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"branch and bound","score":0.8349999785423279},{"id":"https://openalex.org/keywords/equivalent-transformation","display_name":"equivalent transformation","score":0.9129999876022339},{"id":"https://openalex.org/keywords/convergence-analysis","display_name":"convergence analysis","score":0.8510000109672546}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7031379342079163},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.669635534286499},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6551298499107361},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6251136064529419},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5906299948692322},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5469316840171814},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.5337674617767334},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5317683815956116},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.5013511180877686},{"id":"https://openalex.org/C52486349","wikidata":"https://www.wikidata.org/wiki/Q17006040","display_name":"Criss-cross algorithm","level":4,"score":0.4976980984210968},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4640597105026245},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.43451520800590515},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.3731989860534668},{"id":"https://openalex.org/C205658194","wikidata":"https://www.wikidata.org/wiki/Q4168281","display_name":"Linear-fractional programming","level":3,"score":0.20423075556755066},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"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/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/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2352547741","doi":null,"is_oa":false,"landing_page_url":"http://en.cnki.com.cn/Article_en/CJFDTOTAL-PYDX201206004.htm","pdf_url":null,"source":{"id":"https://openalex.org/S2764446922","display_name":"Journal of Xinxiang University","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4366738737","host_organization_name":"Xinxiang University","host_organization_lineage":["https://openalex.org/P4366738737"],"host_organization_lineage_names":["Xinxiang University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Journal of Xinxiang University","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2901833547","https://openalex.org/W2010614651","https://openalex.org/W1976294619","https://openalex.org/W2385224650","https://openalex.org/W3083412729","https://openalex.org/W2515086530","https://openalex.org/W2015679945","https://openalex.org/W2185733783","https://openalex.org/W2736861277","https://openalex.org/W2802584952"],"abstract_inverted_index":{"This":[0],"article":[1],"develops":[2],"a":[3],"deterministic":[4],"algorithm":[5,34,45,55],"for":[6,37],"generalized":[7],"nonlinear":[8],"multiplicative":[9],"problems(P).By":[10],"utilizing":[11],"equivalent":[12,22,39],"transformation":[13],"and":[14,28,48],"linear":[15,18],"relaxation":[16,19],"method,a":[17],"programming(RLP)":[20],"of":[21,42],"problem(Q)":[23],"is":[24,35,46,56],"established.By":[25],"using":[26],"branch":[27],"bound":[29],"technique,a":[30],"determined":[31],"global":[32],"optimization":[33],"proposed":[36,44],"solving":[38],"problem(Q).The":[40],"convergence":[41],"the":[43,53],"proven":[47],"numerical":[49],"examples":[50],"show":[51],"that":[52],"presented":[54],"feasible.":[57]},"counts_by_year":[],"updated_date":"2025-10-10T17:16:08.811792","created_date":"2016-06-24T00:00:00"}
