{"id":"https://openalex.org/W4413394089","doi":"https://doi.org/10.1109/access.2025.3601091","title":"An Improved Arithmetic Optimization Algorithm With Multi-Strategy Variable Step Size for Optimizing Engineering Problems","display_name":"An Improved Arithmetic Optimization Algorithm With Multi-Strategy Variable Step Size for Optimizing Engineering Problems","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4413394089","doi":"https://doi.org/10.1109/access.2025.3601091"},"language":"en","primary_location":{"id":"doi:10.1109/access.2025.3601091","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3601091","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2025.3601091","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jun Liu","orcid":"https://orcid.org/0009-0005-5998-6761"},"institutions":[{"id":"https://openalex.org/I4210101072","display_name":"Shangluo University","ror":"https://ror.org/01a56n213","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210101072"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Liu","raw_affiliation_strings":["Engineering Training Center, Shangluo University, Shangluo, China"],"raw_orcid":"https://orcid.org/0009-0005-5998-6761","affiliations":[{"raw_affiliation_string":"Engineering Training Center, Shangluo University, Shangluo, China","institution_ids":["https://openalex.org/I4210101072"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210101072"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10699278,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":null,"first_page":"156566","last_page":"156599"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.7020000219345093,"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":0.7020000219345093,"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/T13717","display_name":"Advanced Algorithms and Applications","score":0.6489999890327454,"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/computer-science","display_name":"Computer science","score":0.6344331502914429},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5325155854225159},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48902949690818787},{"id":"https://openalex.org/keywords/algorithm-design","display_name":"Algorithm design","score":0.43545204401016235},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.42605897784233093},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3860878050327301},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2764260768890381}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6344331502914429},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5325155854225159},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48902949690818787},{"id":"https://openalex.org/C106516650","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm design","level":2,"score":0.43545204401016235},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.42605897784233093},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3860878050327301},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2764260768890381},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2025.3601091","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3601091","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:387929965e744c029aa27a2398de6987","is_oa":true,"landing_page_url":"https://doaj.org/article/387929965e744c029aa27a2398de6987","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":"IEEE Access, Vol 13, Pp 156566-156599 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2025.3601091","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3601091","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G788636226","display_name":null,"funder_award_id":"22JK0357","funder_id":"https://openalex.org/F4320335467","funder_display_name":"Natural Science Foundation of Shaanxi Provincial Department of Education"}],"funders":[{"id":"https://openalex.org/F4320335467","display_name":"Natural Science Foundation of Shaanxi Provincial Department of Education","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W1595159159","https://openalex.org/W1993885071","https://openalex.org/W1999284878","https://openalex.org/W2039595530","https://openalex.org/W2040492000","https://openalex.org/W2072955302","https://openalex.org/W2136554306","https://openalex.org/W2151554678","https://openalex.org/W2221148967","https://openalex.org/W2232317135","https://openalex.org/W2251257427","https://openalex.org/W2605396865","https://openalex.org/W2773918105","https://openalex.org/W2985975201","https://openalex.org/W2997618425","https://openalex.org/W3014660400","https://openalex.org/W3036044602","https://openalex.org/W3107873431","https://openalex.org/W3119051141","https://openalex.org/W3156438996","https://openalex.org/W3168104563","https://openalex.org/W3202041958","https://openalex.org/W4205175607","https://openalex.org/W4210548680","https://openalex.org/W4220829697","https://openalex.org/W4220884221","https://openalex.org/W4231702991","https://openalex.org/W4283012435","https://openalex.org/W4287009373","https://openalex.org/W4311770312","https://openalex.org/W4312817833","https://openalex.org/W4313479115","https://openalex.org/W4320496177","https://openalex.org/W4321498723","https://openalex.org/W4379115221","https://openalex.org/W4382402066","https://openalex.org/W4385010670","https://openalex.org/W4385611595","https://openalex.org/W4386256765","https://openalex.org/W4387477687","https://openalex.org/W4387730627","https://openalex.org/W4387873795","https://openalex.org/W4388179428","https://openalex.org/W4389396452","https://openalex.org/W4390510014","https://openalex.org/W4391542888","https://openalex.org/W4391604522","https://openalex.org/W4392361101","https://openalex.org/W4394673658","https://openalex.org/W4399027146","https://openalex.org/W4400093543","https://openalex.org/W4401852868","https://openalex.org/W4402203007","https://openalex.org/W4403389967","https://openalex.org/W4404238709","https://openalex.org/W4406080942","https://openalex.org/W4407765473","https://openalex.org/W4410854633"],"related_works":["https://openalex.org/W2393888177","https://openalex.org/W2544423928","https://openalex.org/W2117183908","https://openalex.org/W2115794623","https://openalex.org/W4406345323","https://openalex.org/W2067173559","https://openalex.org/W2148738811","https://openalex.org/W1613730747","https://openalex.org/W2541389358","https://openalex.org/W4318948887"],"abstract_inverted_index":{"Arithmetic":[0],"Optimization":[1],"Algorithm":[2],"(AOA)":[3],"has":[4],"attracted":[5],"considerable":[6],"attention":[7],"owing":[8],"to":[9,155,194],"its":[10,118,225],"efficient":[11],"search":[12],"mechanism;":[13],"however,":[14],"it":[15],"still":[16],"exhibits":[17],"deficiencies":[18],"in":[19],"optimization":[20,35,136,198,209],"accuracy":[21],"and":[22,83,113,131,151,173,185,207,221,228],"convergence":[23,146,206],"speed.":[24],"To":[25,116],"overcome":[26],"these":[27],"limitations,":[28],"this":[29],"paper":[30],"proposes":[31],"an":[32,61,84],"improved":[33],"arithmetic":[34],"algorithm":[36,46,190],"based":[37],"on":[38,123],"multi-strategy":[39],"variable":[40,54,65,75],"step":[41,55,66,76],"size,":[42],"named":[43],"MSVSAOA.":[44],"The":[45],"integrates":[47],"four":[48,195],"key":[49],"strategies:":[50],"a":[51,72],"L\u00e9vy":[52],"flight-based":[53],"size":[56,67,77],"for":[57,68,78],"the":[58,69,79,90,93,99,127,156,160,189],"exploration":[59,107],"phase,":[60,71,82],"update":[62],"direction":[63],"guidance-based":[64],"exploitation":[70,111],"doubly":[73],"randomized":[74],"boundary":[80],"handling":[81],"information":[85,91],"fusion":[86],"strategy":[87],"that":[88,97],"combines":[89],"of":[92,98,163,217],"best":[94],"individual":[95],"with":[96,133,212,214],"updated":[100],"individuals.":[101],"These":[102],"improvements":[103,216],"effectively":[104],"enhance":[105],"global":[106],"capability,":[108],"refine":[109],"local":[110],"precision,":[112],"accelerate":[114],"convergence.":[115],"evaluate":[117],"performance,":[119],"MSVSAOA":[120,203],"was":[121,141,191],"tested":[122],"29":[124],"functions":[125],"from":[126],"CEC2017":[128],"test":[129],"suite":[130],"compared":[132,211],"nine":[134],"mainstream":[135],"algorithms.":[137],"A":[138],"comprehensive":[139],"evaluation":[140],"conducted":[142],"through":[143],"statistical":[144],"analysis,":[145,147],"Wilcoxon":[148],"rank-sum":[149],"tests,":[150],"Friedman":[152,157],"tests.":[153],"According":[154],"ranking":[158],"results,":[159],"average":[161],"ranks":[162],"MSVSAOA,":[164],"AOA,":[165,213],"RCLSMAOA,":[166],"HSMAAOA,":[167],"AOAAO,":[168],"GWOCS,":[169],"GAT,":[170],"tGSSA,":[171],"ESO,":[172],"ISO":[174],"were":[175],"1.48,":[176],"9.79,":[177],"5.55,":[178],"2.28,":[179],"7.10,":[180],"6.17,":[181],"5.03,":[182],"8.62,":[183],"3.55,":[184],"5.41,":[186],"respectively.":[187],"Furthermore,":[188],"successfully":[192],"applied":[193],"real-world":[196],"engineering":[197],"problems.":[199],"In":[200],"all":[201],"cases,":[202],"demonstrated":[204],"faster":[205],"superior":[208],"performance":[210,215],"0.27%,":[218],"0.31%,":[219],"8.91%,":[220],"99.9998%,":[222],"respectively,":[223],"highlighting":[224],"strong":[226],"practicality":[227],"broad":[229],"application":[230],"prospects.":[231]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
