{"id":"https://openalex.org/W2802417638","doi":"https://doi.org/10.3390/a11050071","title":"Improving Monarch Butterfly Optimization Algorithm with Self-Adaptive Population","display_name":"Improving Monarch Butterfly Optimization Algorithm with Self-Adaptive Population","publication_year":2018,"publication_date":"2018-05-14","ids":{"openalex":"https://openalex.org/W2802417638","doi":"https://doi.org/10.3390/a11050071","mag":"2802417638"},"language":"en","primary_location":{"id":"doi:10.3390/a11050071","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a11050071","pdf_url":"https://www.mdpi.com/1999-4893/11/5/71/pdf?version=1526281007","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"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":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/11/5/71/pdf?version=1526281007","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100422503","display_name":"Hui Hu","orcid":"https://orcid.org/0000-0001-8198-6374"},"institutions":[{"id":"https://openalex.org/I93477617","display_name":"Huizhou University","ror":"https://ror.org/03q3s7962","country_code":"CN","type":"education","lineage":["https://openalex.org/I93477617"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Hu","raw_affiliation_strings":["Department of Information Science and Technology, Huizhou University, Huizhou 516007, China"],"affiliations":[{"raw_affiliation_string":"Department of Information Science and Technology, Huizhou University, Huizhou 516007, China","institution_ids":["https://openalex.org/I93477617"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101440145","display_name":"Zhaoquan Cai","orcid":"https://orcid.org/0000-0002-3273-1137"},"institutions":[{"id":"https://openalex.org/I93477617","display_name":"Huizhou University","ror":"https://ror.org/03q3s7962","country_code":"CN","type":"education","lineage":["https://openalex.org/I93477617"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhaoquan Cai","raw_affiliation_strings":["Department of Information Science and Technology, Huizhou University, Huizhou 516007, China"],"affiliations":[{"raw_affiliation_string":"Department of Information Science and Technology, Huizhou University, Huizhou 516007, China","institution_ids":["https://openalex.org/I93477617"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021824702","display_name":"Song Hu","orcid":"https://orcid.org/0000-0003-1867-5869"},"institutions":[{"id":"https://openalex.org/I93477617","display_name":"Huizhou University","ror":"https://ror.org/03q3s7962","country_code":"CN","type":"education","lineage":["https://openalex.org/I93477617"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Song Hu","raw_affiliation_strings":["Educational Technology Center, Huizhou University, Huizhou 516007, China"],"affiliations":[{"raw_affiliation_string":"Educational Technology Center, Huizhou University, Huizhou 516007, China","institution_ids":["https://openalex.org/I93477617"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063946523","display_name":"Yingxue Cai","orcid":null},"institutions":[{"id":"https://openalex.org/I93477617","display_name":"Huizhou University","ror":"https://ror.org/03q3s7962","country_code":"CN","type":"education","lineage":["https://openalex.org/I93477617"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingxue Cai","raw_affiliation_strings":["Educational Technology Center, Huizhou University, Huizhou 516007, China"],"affiliations":[{"raw_affiliation_string":"Educational Technology Center, Huizhou University, Huizhou 516007, China","institution_ids":["https://openalex.org/I93477617"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100416028","display_name":"Jia Chen","orcid":"https://orcid.org/0000-0002-7310-3196"},"institutions":[{"id":"https://openalex.org/I93477617","display_name":"Huizhou University","ror":"https://ror.org/03q3s7962","country_code":"CN","type":"education","lineage":["https://openalex.org/I93477617"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jia Chen","raw_affiliation_strings":["Educational Technology Center, Huizhou University, Huizhou 516007, China"],"affiliations":[{"raw_affiliation_string":"Educational Technology Center, Huizhou University, Huizhou 516007, China","institution_ids":["https://openalex.org/I93477617"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103047158","display_name":"Sibo Huang","orcid":"https://orcid.org/0000-0002-4253-0304"},"institutions":[{"id":"https://openalex.org/I93477617","display_name":"Huizhou University","ror":"https://ror.org/03q3s7962","country_code":"CN","type":"education","lineage":["https://openalex.org/I93477617"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sibo Huang","raw_affiliation_strings":["Educational Technology Center, Huizhou University, Huizhou 516007, China"],"affiliations":[{"raw_affiliation_string":"Educational Technology Center, Huizhou University, Huizhou 516007, China","institution_ids":["https://openalex.org/I93477617"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5101440145"],"corresponding_institution_ids":["https://openalex.org/I93477617"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":2.1174,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.90092737,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"11","issue":"5","first_page":"71","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9226999878883362,"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/population","display_name":"Population","score":0.6268724203109741},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6131123304367065},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5809495449066162},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.5233998894691467},{"id":"https://openalex.org/keywords/optimization-algorithm","display_name":"Optimization algorithm","score":0.4612061381340027},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40328821539878845},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21858727931976318}],"concepts":[{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6268724203109741},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6131123304367065},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5809495449066162},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.5233998894691467},{"id":"https://openalex.org/C2987595161","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimization algorithm","level":2,"score":0.4612061381340027},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40328821539878845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21858727931976318},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/a11050071","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a11050071","pdf_url":"https://www.mdpi.com/1999-4893/11/5/71/pdf?version=1526281007","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"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":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:mdpi.com:/1999-4893/11/5/71/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a11050071","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":"Algorithms; Volume 11; Issue 5; Pages: 71","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a11050071","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a11050071","pdf_url":"https://www.mdpi.com/1999-4893/11/5/71/pdf?version=1526281007","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"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":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4099999964237213,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2802417638.pdf","grobid_xml":"https://content.openalex.org/works/W2802417638.grobid-xml"},"referenced_works_count":117,"referenced_works":["https://openalex.org/W341879454","https://openalex.org/W360308577","https://openalex.org/W1538045029","https://openalex.org/W1888189441","https://openalex.org/W1966536048","https://openalex.org/W1980048226","https://openalex.org/W1980843902","https://openalex.org/W1985460844","https://openalex.org/W1987200501","https://openalex.org/W1988854130","https://openalex.org/W1993885071","https://openalex.org/W2000135657","https://openalex.org/W2003961265","https://openalex.org/W2009207502","https://openalex.org/W2010176468","https://openalex.org/W2012115555","https://openalex.org/W2013647860","https://openalex.org/W2023961530","https://openalex.org/W2027101567","https://openalex.org/W2028885867","https://openalex.org/W2035402624","https://openalex.org/W2041246019","https://openalex.org/W2044371115","https://openalex.org/W2053498776","https://openalex.org/W2056561256","https://openalex.org/W2060179935","https://openalex.org/W2060986680","https://openalex.org/W2065870101","https://openalex.org/W2075988319","https://openalex.org/W2076336294","https://openalex.org/W2089721065","https://openalex.org/W2093195672","https://openalex.org/W2093404777","https://openalex.org/W2101474703","https://openalex.org/W2107941094","https://openalex.org/W2128823339","https://openalex.org/W2139026594","https://openalex.org/W2142939895","https://openalex.org/W2143560894","https://openalex.org/W2154943049","https://openalex.org/W2161715150","https://openalex.org/W2168081761","https://openalex.org/W2180288806","https://openalex.org/W2196839768","https://openalex.org/W2205689121","https://openalex.org/W2236741694","https://openalex.org/W2269913476","https://openalex.org/W2288375906","https://openalex.org/W2291460889","https://openalex.org/W2294761750","https://openalex.org/W2320278891","https://openalex.org/W2326804461","https://openalex.org/W2333617235","https://openalex.org/W2341783563","https://openalex.org/W2350482018","https://openalex.org/W2364214925","https://openalex.org/W2409950842","https://openalex.org/W2440044738","https://openalex.org/W2464411218","https://openalex.org/W2474290527","https://openalex.org/W2504529984","https://openalex.org/W2510487013","https://openalex.org/W2514515163","https://openalex.org/W2517600007","https://openalex.org/W2524822549","https://openalex.org/W2541451878","https://openalex.org/W2547860982","https://openalex.org/W2550177187","https://openalex.org/W2551097547","https://openalex.org/W2552398040","https://openalex.org/W2563442283","https://openalex.org/W2587880536","https://openalex.org/W2590432748","https://openalex.org/W2602227222","https://openalex.org/W2603227111","https://openalex.org/W2604865586","https://openalex.org/W2606474125","https://openalex.org/W2616346973","https://openalex.org/W2616697686","https://openalex.org/W2625168508","https://openalex.org/W2704412051","https://openalex.org/W2735447725","https://openalex.org/W2739608398","https://openalex.org/W2740686293","https://openalex.org/W2750857942","https://openalex.org/W2752276495","https://openalex.org/W2754545959","https://openalex.org/W2754911216","https://openalex.org/W2768397019","https://openalex.org/W2774381817","https://openalex.org/W2780124552","https://openalex.org/W2780656677","https://openalex.org/W2781433260","https://openalex.org/W2783235843","https://openalex.org/W2789580971","https://openalex.org/W2790597496","https://openalex.org/W2793500810","https://openalex.org/W2796394805","https://openalex.org/W4230858015","https://openalex.org/W4232342035","https://openalex.org/W4232546155","https://openalex.org/W4233852005","https://openalex.org/W4237032442","https://openalex.org/W4237164107","https://openalex.org/W4245784973","https://openalex.org/W4255817185","https://openalex.org/W4256008808","https://openalex.org/W6611579527","https://openalex.org/W6650377418","https://openalex.org/W6661187951","https://openalex.org/W6665760355","https://openalex.org/W6682642761","https://openalex.org/W6696524454","https://openalex.org/W6718037465","https://openalex.org/W6736190619","https://openalex.org/W6749196616","https://openalex.org/W7020694779"],"related_works":["https://openalex.org/W2386767533","https://openalex.org/W2012842278","https://openalex.org/W4287863136","https://openalex.org/W4366549320","https://openalex.org/W4312796479","https://openalex.org/W2965078190","https://openalex.org/W2554200989","https://openalex.org/W3040644038","https://openalex.org/W3006015132","https://openalex.org/W4384024154"],"abstract_inverted_index":{"Inspired":[0],"by":[1,154],"the":[2,30,34,50,57,73,81,93,102,140,144,148,170,174,180,191,200,203],"migration":[3,145],"behavior":[4],"of":[5,104,161,173,202],"monarch":[6,20,113],"butterflies":[7,35,74],"in":[8,36,75,84,96,143],"nature,":[9],"Wang":[10],"et":[11],"al.":[12],"proposed":[13,149,175],"a":[14,65,97,105],"novel,":[15],"promising,":[16],"intelligent":[17],"swarm-based":[18],"algorithm,":[19,33,111],"butterfly":[21,114],"optimization":[22,27,59,115],"(MBO),":[23],"for":[24,139],"tackling":[25],"global":[26],"problems.":[28],"In":[29,61,123],"basic":[31,181,204],"MBO":[32,110,182,205],"land":[37,42,76],"1":[38,77,86],"(subpopulation":[39,44],"1)":[40],"and":[41,78,87,163],"2":[43,88],"2)":[45],"are":[46,89,129],"calculated":[47],"according":[48],"to":[49,70,198],"parameter":[51],"p,":[52],"which":[53],"is":[54,68,120,152,194],"unchanged":[55],"during":[56],"entire":[58],"process.":[60],"our":[62],"present":[63],"work,":[64],"self-adaptive":[66,106,117,192],"strategy":[67,193],"introduced":[69],"dynamically":[71,90],"adjust":[72],"2.":[79],"Accordingly,":[80],"population":[82,118],"size":[83],"subpopulation":[85],"changed":[91],"as":[92,136],"algorithm":[94,151,183],"evolves":[95],"linear":[98],"way.":[99],"After":[100],"introducing":[101],"concept":[103],"strategy,":[107],"an":[108,195],"improved":[109],"called":[112],"with":[116,159],"(SPMBO),":[119],"put":[121],"forward.":[122],"SPMBO,":[124],"only":[125],"generated":[126],"individuals":[127,138],"who":[128],"better":[130],"than":[131],"before":[132],"can":[133],"be":[134],"accepted":[135],"new":[137],"next":[141],"generations":[142],"operation.":[146],"Finally,":[147],"SPMBO":[150,176],"benchmarked":[153],"thirteen":[155],"standard":[156],"test":[157,186],"functions":[158],"dimensions":[160],"30":[162],"60.":[164],"The":[165],"experimental":[166],"results":[167],"indicate":[168],"that":[169],"search":[171],"ability":[172],"approach":[177],"significantly":[178],"outperforms":[179],"on":[184],"most":[185],"functions.":[187],"This":[188],"also":[189],"implies":[190],"effective":[196],"way":[197],"improve":[199],"performance":[201],"algorithm.":[206]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2018-05-17T00:00:00"}
