{"id":"https://openalex.org/W4294811527","doi":"https://doi.org/10.1109/cec55065.2022.9870438","title":"An Enhanced Multi-Phase Stochastic Differential Evolution Framework for Numerical Optimization","display_name":"An Enhanced Multi-Phase Stochastic Differential Evolution Framework for Numerical Optimization","publication_year":2022,"publication_date":"2022-07-18","ids":{"openalex":"https://openalex.org/W4294811527","doi":"https://doi.org/10.1109/cec55065.2022.9870438"},"language":"en","primary_location":{"id":"doi:10.1109/cec55065.2022.9870438","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec55065.2022.9870438","pdf_url":null,"source":{"id":"https://openalex.org/S4363605353","display_name":"2022 IEEE Congress on Evolutionary Computation (CEC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE Congress on Evolutionary Computation (CEC)","raw_type":"proceedings-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/A5065733491","display_name":"Heba Abdel-Nabi","orcid":"https://orcid.org/0000-0001-6238-3244"},"institutions":[{"id":"https://openalex.org/I158749337","display_name":"Princess Sumaya University for Technology","ror":"https://ror.org/01jy46q10","country_code":"JO","type":"education","lineage":["https://openalex.org/I158749337"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Heba Abdel-Nabi","raw_affiliation_strings":["Princess Sumaya University for Technology,Department of Computer Science,Amman,Jordan","Department of Computer Science, Princess Sumaya University for Technology, Amman, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princess Sumaya University for Technology,Department of Computer Science,Amman,Jordan","institution_ids":["https://openalex.org/I158749337"]},{"raw_affiliation_string":"Department of Computer Science, Princess Sumaya University for Technology, Amman, Jordan","institution_ids":["https://openalex.org/I158749337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074595900","display_name":"Mostafa Z. Ali","orcid":"https://orcid.org/0000-0003-3030-848X"},"institutions":[{"id":"https://openalex.org/I156983542","display_name":"Jordan University of Science and Technology","ror":"https://ror.org/03y8mtb59","country_code":"JO","type":"education","lineage":["https://openalex.org/I156983542"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Mostafa Ali","raw_affiliation_strings":["Jordan University of Science & Technology,Faculty of Computer & Information Technology,Irbid,Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jordan University of Science & Technology,Faculty of Computer & Information Technology,Irbid,Jordan","institution_ids":["https://openalex.org/I156983542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045110068","display_name":"Mohammad I. Daoud","orcid":"https://orcid.org/0000-0002-9399-5769"},"institutions":[{"id":"https://openalex.org/I230091363","display_name":"German Jordanian University","ror":"https://ror.org/02jgpyd84","country_code":"JO","type":"education","lineage":["https://openalex.org/I230091363"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Mohammad Daoud","raw_affiliation_strings":["German Jordanian University,Department of Computer Engineering,Amman,Jordan","Department of Computer Engineering, German Jordanian University, Amman, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"German Jordanian University,Department of Computer Engineering,Amman,Jordan","institution_ids":["https://openalex.org/I230091363"]},{"raw_affiliation_string":"Department of Computer Engineering, German Jordanian University, Amman, Jordan","institution_ids":["https://openalex.org/I230091363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029787567","display_name":"Rami Alazrai","orcid":"https://orcid.org/0000-0002-1296-0231"},"institutions":[{"id":"https://openalex.org/I230091363","display_name":"German Jordanian University","ror":"https://ror.org/02jgpyd84","country_code":"JO","type":"education","lineage":["https://openalex.org/I230091363"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Rami Alazrai","raw_affiliation_strings":["German Jordanian University,Department of Computer Engineering,Amman,Jordan","Department of Computer Engineering, German Jordanian University, Amman, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"German Jordanian University,Department of Computer Engineering,Amman,Jordan","institution_ids":["https://openalex.org/I230091363"]},{"raw_affiliation_string":"Department of Computer Engineering, German Jordanian University, Amman, Jordan","institution_ids":["https://openalex.org/I230091363"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062695565","display_name":"Arafat Awajan","orcid":"https://orcid.org/0000-0002-7067-5658"},"institutions":[{"id":"https://openalex.org/I158749337","display_name":"Princess Sumaya University for Technology","ror":"https://ror.org/01jy46q10","country_code":"JO","type":"education","lineage":["https://openalex.org/I158749337"]},{"id":"https://openalex.org/I21173400","display_name":"Mutah University","ror":"https://ror.org/008g9ns82","country_code":"JO","type":"education","lineage":["https://openalex.org/I21173400"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Arafat Awajan","raw_affiliation_strings":["Princess Sumaya University for Technology,Department of Computer Science,Amman,Jordan","Computer Science Department, Mutah University, Karak, Jordan","Department of Computer Science, Princess Sumaya University for Technology, Amman, Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princess Sumaya University for Technology,Department of Computer Science,Amman,Jordan","institution_ids":["https://openalex.org/I158749337"]},{"raw_affiliation_string":"Computer Science Department, Mutah University, Karak, Jordan","institution_ids":["https://openalex.org/I21173400"]},{"raw_affiliation_string":"Department of Computer Science, Princess Sumaya University for Technology, Amman, Jordan","institution_ids":["https://openalex.org/I158749337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084993547","display_name":"Robert G. Reynolds","orcid":"https://orcid.org/0000-0002-1431-7653"},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert Reynolds","raw_affiliation_strings":["College of Engineering, Wayne State University,Detroit,USA","College of Engineering, Wayne State University, Detroit, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Engineering, Wayne State University,Detroit,USA","institution_ids":["https://openalex.org/I185443292"]},{"raw_affiliation_string":"College of Engineering, Wayne State University, Detroit, USA","institution_ids":["https://openalex.org/I185443292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025626208","display_name":"Ponnuthurai Nagaratnam Suganthan","orcid":"https://orcid.org/0000-0003-0901-5105"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]},{"id":"https://openalex.org/I60342839","display_name":"Qatar University","ror":"https://ror.org/00yhnba62","country_code":"QA","type":"education","lineage":["https://openalex.org/I60342839"]}],"countries":["QA","SG"],"is_corresponding":false,"raw_author_name":"Ponnuthurai N. Suganthan","raw_affiliation_strings":["School of Electrical & Electronic Engineering Nanyang Technological University,Singapore,639798","KINDI Center for Computing Research, College of Engineering Qatar University, Doha, Qatar"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical & Electronic Engineering Nanyang Technological University,Singapore,639798","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"KINDI Center for Computing Research, College of Engineering Qatar University, Doha, Qatar","institution_ids":["https://openalex.org/I60342839"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":7,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1038,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.29117413,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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":0.998199999332428,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9830999970436096,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/computer-science","display_name":"Computer science","score":0.596233606338501},{"id":"https://openalex.org/keywords/differential-evolution","display_name":"Differential evolution","score":0.5522911548614502},{"id":"https://openalex.org/keywords/stochastic-optimization","display_name":"Stochastic optimization","score":0.45015543699264526},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4366471469402313},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.41485509276390076},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24514079093933105},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23743504285812378},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22025331854820251}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.596233606338501},{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.5522911548614502},{"id":"https://openalex.org/C194387892","wikidata":"https://www.wikidata.org/wiki/Q1747770","display_name":"Stochastic optimization","level":2,"score":0.45015543699264526},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4366471469402313},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.41485509276390076},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24514079093933105},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23743504285812378},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22025331854820251},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cec55065.2022.9870438","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec55065.2022.9870438","pdf_url":null,"source":{"id":"https://openalex.org/S4363605353","display_name":"2022 IEEE Congress on Evolutionary Computation (CEC)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE Congress on Evolutionary Computation (CEC)","raw_type":"proceedings-article"},{"id":"pmh:oai:qspace.qu.edu.qa:10576/40065","is_oa":false,"landing_page_url":"https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85138704809&origin=inward","pdf_url":null,"source":{"id":"https://openalex.org/S4306400014","display_name":"Qatar University QSpace (Qatar University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60342839","host_organization_name":"Qatar University","host_organization_lineage":["https://openalex.org/I60342839"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W16088600","https://openalex.org/W919304072","https://openalex.org/W1559956479","https://openalex.org/W1595159159","https://openalex.org/W1971536112","https://openalex.org/W2007351764","https://openalex.org/W2017816236","https://openalex.org/W2095532426","https://openalex.org/W2096166399","https://openalex.org/W2104311994","https://openalex.org/W2110368321","https://openalex.org/W2144051602","https://openalex.org/W2151554678","https://openalex.org/W2171211995","https://openalex.org/W2261079877","https://openalex.org/W2290883490","https://openalex.org/W2617012487","https://openalex.org/W2726592172","https://openalex.org/W2783342756","https://openalex.org/W2787944981","https://openalex.org/W2796139399","https://openalex.org/W2797485770","https://openalex.org/W2892659004","https://openalex.org/W2892860078","https://openalex.org/W2899191645","https://openalex.org/W2905366447","https://openalex.org/W2914857512","https://openalex.org/W2958456210","https://openalex.org/W2968462207","https://openalex.org/W2980679190","https://openalex.org/W3000284470","https://openalex.org/W3005971223","https://openalex.org/W3008681130","https://openalex.org/W3119051141","https://openalex.org/W3135013660","https://openalex.org/W6738392550"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2035908454","https://openalex.org/W1994782139","https://openalex.org/W4388209346"],"abstract_inverted_index":{"Real-life":[0],"problems":[1,9],"can":[2],"be":[3],"expressed":[4],"as":[5,37,57],"optimization":[6,150],"problems.":[7,167],"These":[8],"pose":[10],"a":[11,38,85,104,110,144,169],"challenge":[12],"for":[13],"researchers":[14],"to":[15,49,64,81,99,120,190],"design":[16,166],"efficient":[17],"algorithms":[18,189],"that":[19,46],"are":[20],"capable":[21],"of":[22,124,147,153,172,175,187],"finding":[23],"optimal":[24],"solutions":[25],"with":[26,58,183],"the":[27,42,65,117,122,125,130,173,176,184],"least":[28],"budget.":[29],"Stochastic":[30],"Fractal":[31],"Search":[32],"(SFS)":[33],"proved":[34],"its":[35,192],"powerfulness":[36],"metaheuristic":[39],"algorithm":[40,61,132,179],"through":[41],"large":[43],"research":[44],"body":[45],"used":[47,98],"it":[48],"optimize":[50],"different":[51],"industrial":[52],"and":[53,62,76,128,158,162],"engineering":[54,165],"tasks.":[55],"Nevertheless,":[56],"any":[59],"meta-heuristic":[60],"according":[63],"\u201cNo":[66],"Free":[67],"Lunch\u201d":[68],"theorem,":[69],"SFS":[70,101],"may":[71],"suffer":[72],"from":[73],"immature":[74],"convergence":[75,133],"local":[77,111],"minima":[78],"trap.":[79],"Thus,":[80],"address":[82],"these":[83],"issues,":[84],"popular":[86],"Differential":[87,94],"Evolution":[88,95],"variant":[89],"called":[90],"Success-History":[91],"based":[92],"Adaptive":[93],"(SHADE)":[96],"is":[97,113,141,180],"enhance":[100],"performance":[102,174],"in":[103],"unique":[105],"three-phase":[106],"hybrid":[107,131,137,178],"framework.":[108],"Moreover,":[109],"search":[112],"also":[114],"incorporated":[115],"into":[116],"proposed":[118,136,177],"framework":[119],"refine":[121],"quality":[123],"generated":[126],"solution":[127],"accelerate":[129],"speed.":[134],"The":[135],"algorithm,":[138],"namely":[139],"eMpSDE,":[140],"tested":[142],"against":[143],"diverse":[145],"set":[146],"varying":[148],"complexity":[149],"problems,":[151],"consisting":[152],"well-known":[154],"standard":[155],"unconstrained":[156],"unimodal":[157],"multimodal":[159],"test":[160],"functions":[161],"some":[163],"constrained":[164],"Then,":[168],"comparative":[170],"analysis":[171],"carried":[181],"out":[182],"recent":[185],"state":[186],"art":[188],"validate":[191],"competitivity.":[193]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}