{"id":"https://openalex.org/W2007317081","doi":"https://doi.org/10.1155/2014/697321","title":"A New Global Optimization Algorithm for Solving a Class of Nonconvex Programming Problems","display_name":"A New Global Optimization Algorithm for Solving a Class of Nonconvex Programming Problems","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2007317081","doi":"https://doi.org/10.1155/2014/697321","mag":"2007317081"},"language":"en","primary_location":{"id":"doi:10.1155/2014/697321","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/697321","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/697321.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/697321.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101471954","display_name":"Xue-Gang Zhou","orcid":"https://orcid.org/0000-0001-7425-0748"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]},{"id":"https://openalex.org/I4210149618","display_name":"Guangdong University of Finance","ror":"https://ror.org/04grzdh47","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210149618"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xue-Gang Zhou","raw_affiliation_strings":["Department of Applied Mathematics, Guangdong University of Finance, Guangzhou, Guangdong 510521, China","School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education Institutes, Guangzhou University, Guangzhou, Guangdong 510006, China"],"raw_orcid":"https://orcid.org/0000-0001-7425-0748","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Guangdong University of Finance, Guangzhou, Guangdong 510521, China","institution_ids":["https://openalex.org/I4210149618"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education Institutes, Guangzhou University, Guangzhou, Guangdong 510006, China","institution_ids":["https://openalex.org/I37987034"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079293684","display_name":"Bing-Yuan Cao","orcid":"https://orcid.org/0000-0003-3589-5441"},"institutions":[{"id":"https://openalex.org/I37987034","display_name":"Guangzhou University","ror":"https://ror.org/05ar8rn06","country_code":"CN","type":"education","lineage":["https://openalex.org/I37987034"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bing-Yuan Cao","raw_affiliation_strings":["School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education Institutes, Guangzhou University, Guangzhou, Guangdong 510006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education Institutes, Guangzhou University, Guangzhou, Guangdong 510006, China","institution_ids":["https://openalex.org/I37987034"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079293684"],"corresponding_institution_ids":["https://openalex.org/I37987034"],"apc_list":{"value":1025,"currency":"USD","value_usd":1050},"apc_paid":{"value":1025,"currency":"USD","value_usd":1050},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10434575,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9958000183105469,"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":0.9764999747276306,"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/bounding-overwatch","display_name":"Bounding overwatch","score":0.7321669459342957},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6492383480072021},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6481965184211731},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6437825560569763},{"id":"https://openalex.org/keywords/linear-fractional-programming","display_name":"Linear-fractional programming","score":0.6373158693313599},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6166301965713501},{"id":"https://openalex.org/keywords/criss-cross-algorithm","display_name":"Criss-cross algorithm","score":0.6078479886054993},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.5773131251335144},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5072943568229675},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.5066986680030823},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.4857088029384613},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4653763175010681},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4451201260089874},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4414079785346985},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4160038232803345},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4122154116630554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2931969165802002},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1321074664592743}],"concepts":[{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.7321669459342957},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6492383480072021},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6481965184211731},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6437825560569763},{"id":"https://openalex.org/C205658194","wikidata":"https://www.wikidata.org/wiki/Q4168281","display_name":"Linear-fractional programming","level":3,"score":0.6373158693313599},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6166301965713501},{"id":"https://openalex.org/C52486349","wikidata":"https://www.wikidata.org/wiki/Q17006040","display_name":"Criss-cross algorithm","level":4,"score":0.6078479886054993},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.5773131251335144},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5072943568229675},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.5066986680030823},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.4857088029384613},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4653763175010681},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4451201260089874},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4414079785346985},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4160038232803345},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4122154116630554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2931969165802002},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1321074664592743},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/697321","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/697321","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/697321.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305547","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305547","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:697321","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/697321.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:21bcf57bc38e4c5182df3f89bbe3f574","is_oa":false,"landing_page_url":"https://doaj.org/article/21bcf57bc38e4c5182df3f89bbe3f574","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/697321","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/697321","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/697321.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1037077487","display_name":null,"funder_award_id":"2012RCYJ005","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G5602295844","display_name":null,"funder_award_id":"S2013040012506","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2007317081.pdf","grobid_xml":"https://content.openalex.org/works/W2007317081.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W36747366","https://openalex.org/W1507300232","https://openalex.org/W1556949287","https://openalex.org/W1563945042","https://openalex.org/W1964983476","https://openalex.org/W1967344706","https://openalex.org/W1971847617","https://openalex.org/W1972204922","https://openalex.org/W1984391506","https://openalex.org/W1995661606","https://openalex.org/W1997608434","https://openalex.org/W2018277783","https://openalex.org/W2019047490","https://openalex.org/W2026971626","https://openalex.org/W2034713829","https://openalex.org/W2040254700","https://openalex.org/W2040529625","https://openalex.org/W2044670240","https://openalex.org/W2051106635","https://openalex.org/W2051668769","https://openalex.org/W2057427500","https://openalex.org/W2058469120","https://openalex.org/W2059496069","https://openalex.org/W2067100964","https://openalex.org/W2074456373","https://openalex.org/W2075205012","https://openalex.org/W2078340238","https://openalex.org/W2090518645","https://openalex.org/W2102501784","https://openalex.org/W2127331687","https://openalex.org/W2138322123","https://openalex.org/W2140673215","https://openalex.org/W2163603148","https://openalex.org/W2509864001","https://openalex.org/W4239992743"],"related_works":["https://openalex.org/W4205854323","https://openalex.org/W2059496069","https://openalex.org/W2568448495","https://openalex.org/W30140562","https://openalex.org/W2115855742","https://openalex.org/W3149578574","https://openalex.org/W2040181397","https://openalex.org/W2009796757","https://openalex.org/W2974586822","https://openalex.org/W2595926587"],"abstract_inverted_index":{"A":[0],"new":[1],"two-part":[2,19],"parametric":[3,20,40],"linearization":[4,21],"technique":[5],"is":[6,23,95],"proposed":[7,93],"globally":[8],"to":[9,25,97,107,119],"a":[10,18,36,39,47,54,69,81,104,108],"class":[11],"of":[12,29,53,71,103,110,123],"nonconvex":[13,89],"programming":[14,75,90,112],"problems":[15],"(NPP).":[16],"Firstly,":[17],"method":[22],"adopted":[24],"construct":[26],"the":[27,65,121,124],"underestimator":[28],"objective":[30],"and":[31,38,46,58],"constraint":[32],"functions,":[33],"by":[34,101],"utilizing":[35],"transformation":[37],"linear":[41,48,74,111],"upper":[42],"bounding":[43,50],"function":[44,51,57,61],"(LUBF)":[45],"lower":[49,73],"(LLBF)":[52],"natural":[55],"logarithm":[56],"an":[59,87],"exponential":[60],"with":[62],"e":[63],"as":[64],"base,":[66],"respectively.":[67],"Then,":[68],"sequence":[70],"relaxation":[72],"problems,":[76],"which":[77],"are":[78,84,117],"embedded":[79],"in":[80,86],"branch-and-bound":[82],"algorithm,":[83],"derived":[85],"initial":[88],"problem.":[91],"The":[92],"algorithm":[94],"converged":[96],"global":[98],"optimal":[99],"solution":[100,106],"means":[102],"subsequent":[105],"series":[109],"problems.":[113],"Finally,":[114],"some":[115],"examples":[116],"given":[118],"illustrate":[120],"feasibility":[122],"presented":[125],"algorithm.":[126]},"counts_by_year":[],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}