{"id":"https://openalex.org/W4280523348","doi":"https://doi.org/10.3390/sym14051011","title":"A Multi-Strategy Improved Arithmetic Optimization Algorithm","display_name":"A Multi-Strategy Improved Arithmetic Optimization Algorithm","publication_year":2022,"publication_date":"2022-05-16","ids":{"openalex":"https://openalex.org/W4280523348","doi":"https://doi.org/10.3390/sym14051011"},"language":"en","primary_location":{"id":"doi:10.3390/sym14051011","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14051011","pdf_url":"https://www.mdpi.com/2073-8994/14/5/1011/pdf?version=1652762672","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/14/5/1011/pdf?version=1652762672","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075824475","display_name":"Zhilei Liu","orcid":"https://orcid.org/0000-0002-5983-7070"},"institutions":[{"id":"https://openalex.org/I88372448","display_name":"Dalian Polytechnic University","ror":"https://ror.org/00c7x4a95","country_code":"CN","type":"education","lineage":["https://openalex.org/I88372448"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhilei Liu","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, China"],"raw_orcid":"https://orcid.org/0000-0002-5983-7070","affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, China","institution_ids":["https://openalex.org/I88372448"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109543506","display_name":"Mingying Li","orcid":null},"institutions":[{"id":"https://openalex.org/I88372448","display_name":"Dalian Polytechnic University","ror":"https://ror.org/00c7x4a95","country_code":"CN","type":"education","lineage":["https://openalex.org/I88372448"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Mingying Li","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, China","institution_ids":["https://openalex.org/I88372448"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075165786","display_name":"Guibing Pang","orcid":"https://orcid.org/0000-0003-3060-5150"},"institutions":[{"id":"https://openalex.org/I88372448","display_name":"Dalian Polytechnic University","ror":"https://ror.org/00c7x4a95","country_code":"CN","type":"education","lineage":["https://openalex.org/I88372448"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guibing Pang","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, China","institution_ids":["https://openalex.org/I88372448"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023725815","display_name":"Hongxiang Song","orcid":null},"institutions":[{"id":"https://openalex.org/I88372448","display_name":"Dalian Polytechnic University","ror":"https://ror.org/00c7x4a95","country_code":"CN","type":"education","lineage":["https://openalex.org/I88372448"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongxiang Song","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, China","institution_ids":["https://openalex.org/I88372448"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049899745","display_name":"Qi Yu","orcid":"https://orcid.org/0000-0003-2873-6864"},"institutions":[{"id":"https://openalex.org/I88372448","display_name":"Dalian Polytechnic University","ror":"https://ror.org/00c7x4a95","country_code":"CN","type":"education","lineage":["https://openalex.org/I88372448"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qi Yu","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, China","institution_ids":["https://openalex.org/I88372448"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101925843","display_name":"Hui Zhang","orcid":"https://orcid.org/0000-0002-0680-6916"},"institutions":[{"id":"https://openalex.org/I88372448","display_name":"Dalian Polytechnic University","ror":"https://ror.org/00c7x4a95","country_code":"CN","type":"education","lineage":["https://openalex.org/I88372448"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Zhang","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, China"],"raw_orcid":"https://orcid.org/0000-0002-0680-6916","affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Dalian Polytechnic University, Dalian 116034, China","institution_ids":["https://openalex.org/I88372448"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109543506"],"corresponding_institution_ids":["https://openalex.org/I88372448"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2227},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2227},"fwci":2.3205,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.89525033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"14","issue":"5","first_page":"1011","last_page":"1011"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9991999864578247,"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":0.9991999864578247,"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/T10320","display_name":"Neural Networks and Applications","score":0.9853000044822693,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9668999910354614,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.641654372215271},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5246498584747314},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5054347515106201},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.4430845379829407},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44191643595695496},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4058276414871216}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.641654372215271},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5246498584747314},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5054347515106201},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4430845379829407},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44191643595695496},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4058276414871216},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym14051011","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14051011","pdf_url":"https://www.mdpi.com/2073-8994/14/5/1011/pdf?version=1652762672","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:7ee20148af944cc4972b10716c87835e","is_oa":true,"landing_page_url":"https://doaj.org/article/7ee20148af944cc4972b10716c87835e","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 14, Iss 5, p 1011 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/14/5/1011/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym14051011","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry; Volume 14; Issue 5; Pages: 1011","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym14051011","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym14051011","pdf_url":"https://www.mdpi.com/2073-8994/14/5/1011/pdf?version=1652762672","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4280523348.pdf"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W2136632629","https://openalex.org/W2174096823","https://openalex.org/W2283531730","https://openalex.org/W2285868006","https://openalex.org/W2902471537","https://openalex.org/W2944061185","https://openalex.org/W2979873927","https://openalex.org/W2981724941","https://openalex.org/W3000716545","https://openalex.org/W3004958565","https://openalex.org/W3009351641","https://openalex.org/W3119051141","https://openalex.org/W3123650755","https://openalex.org/W3134888152","https://openalex.org/W3147468181","https://openalex.org/W3154719286","https://openalex.org/W3160456505","https://openalex.org/W3173041499","https://openalex.org/W3176195813","https://openalex.org/W3190283086","https://openalex.org/W3196189097","https://openalex.org/W3196202912","https://openalex.org/W3214383116","https://openalex.org/W4200606079","https://openalex.org/W4205620499","https://openalex.org/W4210480745","https://openalex.org/W4210903234","https://openalex.org/W4214663151","https://openalex.org/W4214908139","https://openalex.org/W4224868076","https://openalex.org/W4229045155","https://openalex.org/W6795489025","https://openalex.org/W6808174293"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2378211422","https://openalex.org/W1979597421","https://openalex.org/W4321353415","https://openalex.org/W2745001401","https://openalex.org/W2007980826","https://openalex.org/W2130974462","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104"],"abstract_inverted_index":{"To":[0],"improve":[1,56],"the":[2,5,14,34,37,57,61,64,67,74,79,90,102,110,119,125,128,138,143,151,155,159,174,192],"performance":[3,153],"of":[4,36,49,60,66,104,109,127,154,166,182],"arithmetic":[6],"optimization":[7],"algorithm":[8,135,176,194],"(AOA)":[9],"and":[10,81,95,142,158,188],"solve":[11],"problems":[12],"in":[13,78,180],"AOA,":[15],"a":[16,21,40,50],"novel":[17],"improved":[18,129,156,175,193],"AOA":[19],"using":[20],"multi-strategy":[22],"approach":[23,94],"is":[24,30,53,70,98,116,195],"proposed.":[25],"Firstly,":[26],"circle":[27],"chaotic":[28],"mapping":[29],"used":[31,71,99],"to":[32,55,72,100,106,123,149,197,201],"increase":[33,101],"diversity":[35],"population.":[38],"Secondly,":[39],"math":[41],"optimizer":[42],"accelerated":[43],"(MOA)":[44],"function":[45,115,122],"optimized":[46],"by":[47],"means":[48],"composite":[51,68],"cycloid":[52,69],"proposed":[54],"convergence":[58,189],"speed":[59],"algorithm.":[62],"Meanwhile,":[63],"symmetry":[65],"balance":[73],"global":[75,185],"search":[76,186],"ability":[77,103,187],"early":[80],"late":[82],"iterations.":[83],"Thirdly,":[84],"an":[85,198],"optimal":[86],"mutation":[87,93],"strategy":[88],"combining":[89],"sparrow":[91],"elite":[92],"Cauchy":[96],"disturbances":[97],"individuals":[105],"jump":[107],"out":[108],"local":[111],"optimal.":[112],"The":[113,169],"Rastrigin":[114],"selected":[117,148],"as":[118],"reference":[120],"test":[121,133,145,150,170],"analyze":[124],"effectiveness":[126],"strategy.":[130],"Twenty":[131],"benchmark":[132],"functions,":[134],"time":[136],"complexity,":[137],"Wilcoxon":[139],"rank-sum":[140],"test,":[141],"CEC2019":[144],"set":[146],"are":[147,161],"overall":[152],"algorithm,":[157],"results":[160,171],"then":[162],"compared":[163],"with":[164],"those":[165],"other":[167],"algorithms.":[168],"show":[172],"that":[173],"has":[177],"obvious":[178],"advantages":[179],"terms":[181],"both":[183],"its":[184,204],"speed.":[190],"Finally,":[191],"applied":[196],"engineering":[199],"example":[200],"further":[202],"verify":[203],"practicability.":[205]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2022-05-22T00:00:00"}