{"id":"https://openalex.org/W4413182519","doi":"https://doi.org/10.3390/sym17081295","title":"MRBMO: An Enhanced Red-Billed Blue Magpie Optimization Algorithm for Solving Numerical Optimization Challenges","display_name":"MRBMO: An Enhanced Red-Billed Blue Magpie Optimization Algorithm for Solving Numerical Optimization Challenges","publication_year":2025,"publication_date":"2025-08-11","ids":{"openalex":"https://openalex.org/W4413182519","doi":"https://doi.org/10.3390/sym17081295"},"language":"en","primary_location":{"id":"doi:10.3390/sym17081295","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17081295","pdf_url":null,"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"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/sym17081295","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070489860","display_name":"Baili Lu","orcid":null},"institutions":[{"id":"https://openalex.org/I94357780","display_name":"Zhongkai University of Agriculture and Engineering","ror":"https://ror.org/000b7ms85","country_code":"CN","type":"education","lineage":["https://openalex.org/I94357780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baili Lu","raw_affiliation_strings":["College of Animal Science and Technology, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, China"],"raw_orcid":"https://orcid.org/0009-0000-3814-2918","affiliations":[{"raw_affiliation_string":"College of Animal Science and Technology, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, China","institution_ids":["https://openalex.org/I94357780"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Zhanxi Xie","orcid":"https://orcid.org/0009-0003-0105-6479"},"institutions":[{"id":"https://openalex.org/I49835588","display_name":"Macao Polytechnic University","ror":"https://ror.org/02sf5td35","country_code":"MO","type":"education","lineage":["https://openalex.org/I49835588"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Zhanxi Xie","raw_affiliation_strings":["Faculty of Humanities and Social Sciences, Macao Polytechnic University, Macao 999078, China"],"raw_orcid":"https://orcid.org/0009-0003-0105-6479","affiliations":[{"raw_affiliation_string":"Faculty of Humanities and Social Sciences, Macao Polytechnic University, Macao 999078, China","institution_ids":["https://openalex.org/I49835588"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108558619","display_name":"Junhao Wei","orcid":"https://orcid.org/0009-0006-0553-2032"},"institutions":[{"id":"https://openalex.org/I49835588","display_name":"Macao Polytechnic University","ror":"https://ror.org/02sf5td35","country_code":"MO","type":"education","lineage":["https://openalex.org/I49835588"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Junhao Wei","raw_affiliation_strings":["Faculty of Applied Sciences, Macao Polytechnic University, Macao 999078, China"],"raw_orcid":"https://orcid.org/0009-0006-0553-2032","affiliations":[{"raw_affiliation_string":"Faculty of Applied Sciences, Macao Polytechnic University, Macao 999078, China","institution_ids":["https://openalex.org/I49835588"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017306861","display_name":"Yanzhao Gu","orcid":"https://orcid.org/0009-0000-7162-4927"},"institutions":[{"id":"https://openalex.org/I49835588","display_name":"Macao Polytechnic University","ror":"https://ror.org/02sf5td35","country_code":"MO","type":"education","lineage":["https://openalex.org/I49835588"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Yanzhao Gu","raw_affiliation_strings":["Faculty of Applied Sciences, Macao Polytechnic University, Macao 999078, China"],"raw_orcid":"https://orcid.org/0009-0000-7162-4927","affiliations":[{"raw_affiliation_string":"Faculty of Applied Sciences, Macao Polytechnic University, Macao 999078, China","institution_ids":["https://openalex.org/I49835588"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107879354","display_name":"Yuzheng Yan","orcid":null},"institutions":[{"id":"https://openalex.org/I49835588","display_name":"Macao Polytechnic University","ror":"https://ror.org/02sf5td35","country_code":"MO","type":"education","lineage":["https://openalex.org/I49835588"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Yuzheng Yan","raw_affiliation_strings":["Faculty of Applied Sciences, Macao Polytechnic University, Macao 999078, China"],"raw_orcid":"https://orcid.org/0009-0009-6214-3203","affiliations":[{"raw_affiliation_string":"Faculty of Applied Sciences, Macao Polytechnic University, Macao 999078, China","institution_ids":["https://openalex.org/I49835588"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108107123","display_name":"Zikun Li","orcid":null},"institutions":[{"id":"https://openalex.org/I187400657","display_name":"South China Normal University","ror":"https://ror.org/01kq0pv72","country_code":"CN","type":"education","lineage":["https://openalex.org/I187400657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zikun Li","raw_affiliation_strings":["School of Economics and Management, South China Normal University, Guangzhou 510006, China"],"raw_orcid":"https://orcid.org/0009-0008-4820-1780","affiliations":[{"raw_affiliation_string":"School of Economics and Management, South China Normal University, Guangzhou 510006, China","institution_ids":["https://openalex.org/I187400657"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Shirou Pan","orcid":"https://orcid.org/0009-0004-4655-9675"},"institutions":[{"id":"https://openalex.org/I94357780","display_name":"Zhongkai University of Agriculture and Engineering","ror":"https://ror.org/000b7ms85","country_code":"CN","type":"education","lineage":["https://openalex.org/I94357780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shirou Pan","raw_affiliation_strings":["College of Animal Science and Technology, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, China"],"raw_orcid":"https://orcid.org/0009-0004-4655-9675","affiliations":[{"raw_affiliation_string":"College of Animal Science and Technology, Zhongkai University of Agriculture and Engineering, Guangzhou 510225, China","institution_ids":["https://openalex.org/I94357780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005759545","display_name":"Ngai Cheong","orcid":"https://orcid.org/0000-0002-8068-2368"},"institutions":[{"id":"https://openalex.org/I49835588","display_name":"Macao Polytechnic University","ror":"https://ror.org/02sf5td35","country_code":"MO","type":"education","lineage":["https://openalex.org/I49835588"]}],"countries":["MO"],"is_corresponding":true,"raw_author_name":"Ngai Cheong","raw_affiliation_strings":["Faculty of Applied Sciences, Macao Polytechnic University, Macao 999078, China"],"raw_orcid":"https://orcid.org/0000-0002-8068-2368","affiliations":[{"raw_affiliation_string":"Faculty of Applied Sciences, Macao Polytechnic University, Macao 999078, China","institution_ids":["https://openalex.org/I49835588"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Ying Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I131434179","display_name":"Nanjing University of Chinese Medicine","ror":"https://ror.org/04523zj19","country_code":"CN","type":"education","lineage":["https://openalex.org/I131434179"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Chen","raw_affiliation_strings":["School of Health Economics and Management, Nanjing University of Chinese Medicine, Nanjing 210023, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Health Economics and Management, Nanjing University of Chinese Medicine, Nanjing 210023, China","institution_ids":["https://openalex.org/I131434179"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031426337","display_name":"Ri\u2010Gui Zhou","orcid":"https://orcid.org/0000-0002-8894-8108"},"institutions":[{"id":"https://openalex.org/I49835588","display_name":"Macao Polytechnic University","ror":"https://ror.org/02sf5td35","country_code":"MO","type":"education","lineage":["https://openalex.org/I49835588"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Ruishen Zhou","raw_affiliation_strings":["Faculty of Applied Sciences, Macao Polytechnic University, Macao 999078, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Applied Sciences, Macao Polytechnic University, Macao 999078, China","institution_ids":["https://openalex.org/I49835588"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":10,"corresponding_author_ids":["https://openalex.org/A5005759545"],"corresponding_institution_ids":["https://openalex.org/I49835588"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":22.8686,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.99356514,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"17","issue":"8","first_page":"1295","last_page":"1295"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9955999851226807,"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/T12042","display_name":"Satellite Communication Systems","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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":0.6247052550315857},{"id":"https://openalex.org/keywords/optimization-algorithm","display_name":"Optimization algorithm","score":0.6154429912567139},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45322781801223755},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4523318111896515},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4356548488140106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18592366576194763}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6247052550315857},{"id":"https://openalex.org/C2987595161","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Optimization algorithm","level":2,"score":0.6154429912567139},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45322781801223755},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4523318111896515},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4356548488140106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18592366576194763}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17081295","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17081295","pdf_url":null,"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"}],"best_oa_location":{"id":"doi:10.3390/sym17081295","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17081295","pdf_url":null,"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":[{"id":"https://openalex.org/G803526006","display_name":null,"funder_award_id":"0044/2023/ITP2","funder_id":"https://openalex.org/F4320323893","funder_display_name":"Fundo para o Desenvolvimento das Ci\u00eancias e da Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320323893","display_name":"Fundo para o Desenvolvimento das Ci\u00eancias e da Tecnologia","ror":"https://ror.org/05vna4324"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W2022562606","https://openalex.org/W2061438946","https://openalex.org/W2132181343","https://openalex.org/W2139150176","https://openalex.org/W2156194072","https://openalex.org/W2290883490","https://openalex.org/W2888248957","https://openalex.org/W2916400038","https://openalex.org/W2919979744","https://openalex.org/W2945283306","https://openalex.org/W2999697870","https://openalex.org/W3087652231","https://openalex.org/W3088041907","https://openalex.org/W3148460857","https://openalex.org/W3154570837","https://openalex.org/W3188854349","https://openalex.org/W3216676461","https://openalex.org/W4205656153","https://openalex.org/W4250503569","https://openalex.org/W4281687867","https://openalex.org/W4292083457","https://openalex.org/W4309185062","https://openalex.org/W4320487090","https://openalex.org/W4386391043","https://openalex.org/W4387165436","https://openalex.org/W4388335935","https://openalex.org/W4389994879","https://openalex.org/W4390415026","https://openalex.org/W4395658772","https://openalex.org/W4396623743","https://openalex.org/W4398780590","https://openalex.org/W4401870922","https://openalex.org/W4408007861","https://openalex.org/W4409882570","https://openalex.org/W6679381669","https://openalex.org/W6682642761"],"related_works":["https://openalex.org/W4366549320","https://openalex.org/W4287863136","https://openalex.org/W3006015132","https://openalex.org/W2965078190","https://openalex.org/W4408464351","https://openalex.org/W2140656843","https://openalex.org/W3040644038","https://openalex.org/W4285140130","https://openalex.org/W3104770499","https://openalex.org/W4285677055"],"abstract_inverted_index":{"To":[0],"address":[1],"the":[2,5,68,99,133,153,176,187,218,223],"limitations":[3],"of":[4,74,84,103,118,135,140,148,155,178,189,220,225],"Red-billed":[6],"Blue":[7],"Magpie":[8],"Optimization":[9],"algorithm":[10],"(RBMO),":[11],"such":[12],"as":[13,197],"its":[14,23],"tendency":[15],"to":[16,151,166,174,185],"get":[17],"trapped":[18],"in":[19,82,137,180,192,228,239],"local":[20],"optima":[21],"and":[22,53,87,96,108,126,203,244],"slow":[24],"convergence":[25,85],"rate,":[26],"an":[27,43],"enhanced":[28],"version":[29],"called":[30],"MRBMO":[31,34,63,78,104,119,136,158,179,235],"was":[32,35,129,159],"proposed.":[33],"improved":[36],"by":[37],"integrating":[38],"Good":[39],"Nodes":[40],"Set":[41],"Initialization,":[42],"Enhanced":[44],"Search-for-food":[45],"Strategy,":[46,52],"a":[47,72,208],"newly":[48],"designed":[49,145,212],"Siege-style":[50],"Attacking-prey":[51],"Lens-Imaging":[54],"Opposition-Based":[55],"Learning":[56],"(LIOBL).":[57],"The":[58,115,231],"experimental":[59],"results":[60,232],"showed":[61],"that":[62,234],"demonstrated":[64,233],"strong":[65],"competitiveness":[66],"on":[67,120],"CEC2005":[69],"benchmark.":[70],"Among":[71],"series":[73],"advanced":[75],"metaheuristic":[76,190,226],"algorithms,":[77],"exhibited":[79],"significant":[80,237],"advantages":[81,238],"terms":[83],"speed":[86],"solution":[88],"accuracy.":[89],"On":[90],"benchmark":[91,121],"functions":[92,122],"with":[93,123,162,217],"30,":[94,124],"50,":[95,125],"100":[97,127],"dimensions,":[98],"average":[100],"Friedman":[101],"values":[102],"were":[105],"1.6029,":[106],"1.6601,":[107],"1.8775,":[109],"respectively,":[110],"significantly":[111],"outperforming":[112],"other":[113,163],"algorithms.":[114],"overall":[116],"effectiveness":[117,134,224],"dimensions":[128],"95.65%,":[130],"which":[131],"confirmed":[132],"handling":[138],"problems":[139],"different":[141],"dimensions.":[142],"This":[143],"paper":[144,206],"two":[146],"types":[147],"simulation":[149],"experiments":[150],"test":[152,209],"practicability":[154],"MRBMO.":[156],"First,":[157],"used":[160],"along":[161],"heuristic":[164],"algorithms":[165,191,227],"solve":[167],"four":[168],"engineering":[169,181,241],"design":[170,182,242],"optimization":[171,195,243],"problems,":[172],"aiming":[173],"verify":[175],"applicability":[177],"optimization.":[183,247],"Then,":[184],"overcome":[186],"shortcomings":[188],"antenna":[193,214,245],"S-parameter":[194,215,246],"problems\u2014such":[196],"time-consuming":[198],"verification":[199],"processes,":[200],"cumbersome":[201],"operations,":[202],"complex":[204],"modes\u2014this":[205],"adopted":[207],"suite":[210],"specifically":[211],"for":[213],"optimization,":[216],"goal":[219],"efficiently":[221],"validating":[222],"this":[229],"domain.":[230],"had":[236],"both":[240]},"counts_by_year":[{"year":2026,"cited_by_count":9},{"year":2025,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
