{"id":"https://openalex.org/W3006871138","doi":"https://doi.org/10.1080/00207160.2020.1731484","title":"A new parameter free filled function for solving unconstrained global optimization problems","display_name":"A new parameter free filled function for solving unconstrained global optimization problems","publication_year":2020,"publication_date":"2020-02-19","ids":{"openalex":"https://openalex.org/W3006871138","doi":"https://doi.org/10.1080/00207160.2020.1731484","mag":"3006871138"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2020.1731484","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1731484","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5000682716","display_name":"A. I. Ahmed","orcid":"https://orcid.org/0000-0003-0888-7198"},"institutions":[{"id":"https://openalex.org/I184834183","display_name":"Al-Azhar University","ror":"https://ror.org/05fnp1145","country_code":"EG","type":"education","lineage":["https://openalex.org/I184834183"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"A. I. Ahmed","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt","institution_ids":["https://openalex.org/I184834183"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000682716"],"corresponding_institution_ids":["https://openalex.org/I184834183"],"apc_list":null,"apc_paid":null,"fwci":3.2508,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.91849965,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"98","issue":"1","first_page":"106","last_page":"119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.993399977684021,"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/logarithm","display_name":"Logarithm","score":0.7523526549339294},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6659451723098755},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6644076108932495},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.646735429763794},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.6235705018043518},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.6004467010498047},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5639464855194092},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.5636613368988037},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.5002343654632568},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.46555760502815247},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44739168882369995},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4078964293003082},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09868702292442322}],"concepts":[{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7523526549339294},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6659451723098755},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6644076108932495},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.646735429763794},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.6235705018043518},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.6004467010498047},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5639464855194092},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.5636613368988037},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5002343654632568},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.46555760502815247},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44739168882369995},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4078964293003082},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09868702292442322},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2020.1731484","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2020.1731484","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W141592958","https://openalex.org/W1489476537","https://openalex.org/W1576506176","https://openalex.org/W1595159159","https://openalex.org/W1964400069","https://openalex.org/W1974129807","https://openalex.org/W1976895668","https://openalex.org/W1990485409","https://openalex.org/W1991323344","https://openalex.org/W1997066685","https://openalex.org/W2004252115","https://openalex.org/W2009458683","https://openalex.org/W2023028549","https://openalex.org/W2024060531","https://openalex.org/W2025143983","https://openalex.org/W2029376181","https://openalex.org/W2039687465","https://openalex.org/W2046170418","https://openalex.org/W2046297454","https://openalex.org/W2046388615","https://openalex.org/W2059316858","https://openalex.org/W2082050615","https://openalex.org/W2085965041","https://openalex.org/W2090973855","https://openalex.org/W2092725251","https://openalex.org/W2117842770","https://openalex.org/W2124761441","https://openalex.org/W2129250732","https://openalex.org/W2137578940","https://openalex.org/W2140506373","https://openalex.org/W2141268791","https://openalex.org/W2149306144","https://openalex.org/W2183859258","https://openalex.org/W2312095103","https://openalex.org/W2335939657","https://openalex.org/W2556346711","https://openalex.org/W2577367849","https://openalex.org/W2809331222","https://openalex.org/W2867987798","https://openalex.org/W3145065843","https://openalex.org/W4233980468"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W4327738859","https://openalex.org/W2121922170","https://openalex.org/W4250124476","https://openalex.org/W4210838092","https://openalex.org/W1484685921","https://openalex.org/W2163845418","https://openalex.org/W1965785471","https://openalex.org/W2477013613","https://openalex.org/W2043339930"],"abstract_inverted_index":{"The":[0],"filled":[1,22,43,48,57,68,94],"function":[2,23,49,58,69,95],"method":[3],"is":[4,74,80,105,130],"an":[5,99],"efficient":[6,131],"approach":[7],"for":[8,40,101],"finding":[9],"a":[10,20,47],"global":[11,14,103],"minimizer":[12],"of":[13,28,91,116],"optimization":[15,104],"problems.":[16],"This":[17,56],"paper":[18],"introduces":[19],"new":[21],"which":[24,65],"overcomes":[25],"the":[26,67,92],"drawbacks":[27],"sensitivity":[29],"to":[30,53,84],"parameters,":[31],"containing":[32],"exponential":[33,61],"or":[34,62],"logarithmic":[35,63],"terms,":[36],"discontinuity":[37],"and":[38,98,132],"non-differentiability":[39],"some":[41,123],"previous":[42],"functions.":[44],"It":[45],"proposes":[46],"without":[50],"any":[51],"parameters":[52],"be":[54],"adjusted.":[55],"has":[59],"no":[60],"terms":[64],"make":[66],"numerically":[70],"unstable.":[71],"Also":[72],"it":[73],"continuously":[75],"differentiable,":[76],"so":[77],"gradient":[78],"information":[79],"available":[81],"in":[82],"order":[83],"use":[85],"effective":[86],"local":[87],"minimization":[88],"algorithms.":[89],"Theories":[90],"proposed":[93],"are":[96,118],"investigated":[97],"algorithm":[100,129],"unconstrained":[102],"presented.":[106],"Numerical":[107],"results":[108],"on":[109],"many":[110],"test":[111],"problems":[112],"with":[113,122],"large":[114],"number":[115],"variables":[117],"reported.":[119],"A":[120],"comparison":[121],"existing":[124],"algorithms":[125],"shows":[126],"that":[127],"this":[128],"reliable.":[133]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}