{"id":"https://openalex.org/W3130754880","doi":"https://doi.org/10.1109/tcyb.2020.3042853","title":"A \u03c5-Constrained Matrix Adaptation Evolution Strategy With Broyden-Based Mutation for Constrained Optimization","display_name":"A \u03c5-Constrained Matrix Adaptation Evolution Strategy With Broyden-Based Mutation for Constrained Optimization","publication_year":2021,"publication_date":"2021-02-26","ids":{"openalex":"https://openalex.org/W3130754880","doi":"https://doi.org/10.1109/tcyb.2020.3042853","mag":"3130754880","pmid":"https://pubmed.ncbi.nlm.nih.gov/33635803"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2020.3042853","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.3042853","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5100602998","display_name":"Abhishek Kumar","orcid":"https://orcid.org/0000-0003-1940-0234"},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289","https://openalex.org/I91357014"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Abhishek Kumar","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology (BHU) Varanasi, Varanasi, India"],"raw_orcid":"https://orcid.org/0000-0003-1940-0234","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology (BHU) Varanasi, Varanasi, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000078546","display_name":"Swagatam Das","orcid":"https://orcid.org/0000-0001-6843-4508"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Swagatam Das","raw_affiliation_strings":["Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata, India"],"raw_orcid":"https://orcid.org/0000-0001-6843-4508","affiliations":[{"raw_affiliation_string":"Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata, India","institution_ids":["https://openalex.org/I6498739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065162953","display_name":"Rakesh Misra","orcid":"https://orcid.org/0000-0001-9210-0364"},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289","https://openalex.org/I91357014"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rakesh Kumar Misra","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology (BHU) Varanasi, Varanasi, India"],"raw_orcid":"https://orcid.org/0000-0001-9210-0364","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology (BHU) Varanasi, Varanasi, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101741101","display_name":"Devender Singh","orcid":"https://orcid.org/0000-0002-1430-9653"},"institutions":[{"id":"https://openalex.org/I56404289","display_name":"Indian Institute of Technology BHU","ror":"https://ror.org/01kh5gc44","country_code":"IN","type":"education","lineage":["https://openalex.org/I56404289","https://openalex.org/I91357014"]},{"id":"https://openalex.org/I91357014","display_name":"Banaras Hindu University","ror":"https://ror.org/04cdn2797","country_code":"IN","type":"education","lineage":["https://openalex.org/I91357014"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Devender Singh","raw_affiliation_strings":["Department of Electrical Engineering, Indian Institute of Technology (BHU) Varanasi, Varanasi, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology (BHU) Varanasi, Varanasi, India","institution_ids":["https://openalex.org/I56404289","https://openalex.org/I91357014"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8662,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.91926911,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"52","issue":"6","first_page":"4784","last_page":"4796"},"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":0.9950000047683716,"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/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.982699990272522,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7528544068336487},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"Constrained optimization","score":0.5919158458709717},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5903080701828003},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.5817602872848511},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.542724609375},{"id":"https://openalex.org/keywords/cma-es","display_name":"CMA-ES","score":0.5281192064285278},{"id":"https://openalex.org/keywords/continuous-optimization","display_name":"Continuous optimization","score":0.5258092284202576},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5073105692863464},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.494806706905365},{"id":"https://openalex.org/keywords/evolution-strategy","display_name":"Evolution strategy","score":0.4596957266330719},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.45786479115486145},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.42876121401786804},{"id":"https://openalex.org/keywords/mutation","display_name":"Mutation","score":0.42660385370254517},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.4201413691043854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35219812393188477},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.22274935245513916}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7528544068336487},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.5919158458709717},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5903080701828003},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.5817602872848511},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.542724609375},{"id":"https://openalex.org/C205555498","wikidata":"https://www.wikidata.org/wiki/Q505588","display_name":"CMA-ES","level":4,"score":0.5281192064285278},{"id":"https://openalex.org/C92995354","wikidata":"https://www.wikidata.org/wiki/Q5165499","display_name":"Continuous optimization","level":4,"score":0.5258092284202576},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5073105692863464},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.494806706905365},{"id":"https://openalex.org/C207002847","wikidata":"https://www.wikidata.org/wiki/Q2912857","display_name":"Evolution strategy","level":3,"score":0.4596957266330719},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.45786479115486145},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.42876121401786804},{"id":"https://openalex.org/C501734568","wikidata":"https://www.wikidata.org/wiki/Q42918","display_name":"Mutation","level":3,"score":0.42660385370254517},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.4201413691043854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35219812393188477},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.22274935245513916},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"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/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D009154","descriptor_name":"Mutation","qualifier_ui":"Q000235","qualifier_name":"genetics","is_major_topic":false},{"descriptor_ui":"D009154","descriptor_name":"Mutation","qualifier_ui":"Q000235","qualifier_name":"genetics","is_major_topic":false},{"descriptor_ui":"D009154","descriptor_name":"Mutation","qualifier_ui":"Q000235","qualifier_name":"genetics","is_major_topic":false}],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2020.3042853","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.3042853","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},{"id":"pmid:33635803","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33635803","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.699999988079071,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":62,"referenced_works":["https://openalex.org/W166726813","https://openalex.org/W1977822596","https://openalex.org/W1980750007","https://openalex.org/W1988833288","https://openalex.org/W2003143905","https://openalex.org/W2003724123","https://openalex.org/W2009704558","https://openalex.org/W2023910014","https://openalex.org/W2039355869","https://openalex.org/W2041760348","https://openalex.org/W2042594698","https://openalex.org/W2048810930","https://openalex.org/W2056665801","https://openalex.org/W2086421124","https://openalex.org/W2099197461","https://openalex.org/W2102428266","https://openalex.org/W2106980278","https://openalex.org/W2110368321","https://openalex.org/W2111761631","https://openalex.org/W2113123876","https://openalex.org/W2122670988","https://openalex.org/W2144051602","https://openalex.org/W2145479420","https://openalex.org/W2146713522","https://openalex.org/W2161029074","https://openalex.org/W2162273104","https://openalex.org/W2164655924","https://openalex.org/W2165109867","https://openalex.org/W2170338867","https://openalex.org/W2288517616","https://openalex.org/W2312408522","https://openalex.org/W2345178486","https://openalex.org/W2419306226","https://openalex.org/W2558527684","https://openalex.org/W2579361096","https://openalex.org/W2591313086","https://openalex.org/W2592891920","https://openalex.org/W2606717649","https://openalex.org/W2726495777","https://openalex.org/W2729115982","https://openalex.org/W2734823962","https://openalex.org/W2790343644","https://openalex.org/W2802384355","https://openalex.org/W2845268560","https://openalex.org/W2890957380","https://openalex.org/W2895627188","https://openalex.org/W2895914958","https://openalex.org/W2896508930","https://openalex.org/W2901888116","https://openalex.org/W2903404698","https://openalex.org/W2912180855","https://openalex.org/W2921754689","https://openalex.org/W2954375263","https://openalex.org/W2963115819","https://openalex.org/W2963371534","https://openalex.org/W2979565296","https://openalex.org/W2995449207","https://openalex.org/W3015290284","https://openalex.org/W3032192501","https://openalex.org/W3087341323","https://openalex.org/W3100570467","https://openalex.org/W3106485406"],"related_works":["https://openalex.org/W2807129720","https://openalex.org/W4297788869","https://openalex.org/W2053451340","https://openalex.org/W2272252676","https://openalex.org/W2970789884","https://openalex.org/W2918510433","https://openalex.org/W2810095338","https://openalex.org/W2896508930","https://openalex.org/W2399010267","https://openalex.org/W4206639779"],"abstract_inverted_index":{"To":[0,39],"solve":[1],"the":[2,20,26,36,50,68,71,104,131],"nonconvex":[3],"constrained":[4,114,138],"optimization":[5,16,37,115],"problems":[6,128],"(COPs)":[7],"over":[8,32],"continuous":[9],"search":[10],"spaces":[11],"by":[12,57],"using":[13,122],"a":[14,45,59,86,91,112,123],"population-based":[15],"algorithm,":[17],"balancing":[18],"between":[19],"feasible":[21,92],"and":[22,81],"infeasible":[23,97],"solutions":[24],"in":[25,73],"population":[27],"plays":[28],"an":[29,62,96],"important":[30],"role":[31],"different":[33],"stages":[34],"of":[35,70,126],"process.":[38],"keep":[40],"this":[41],"balance,":[42],"we":[43,84,110],"propose":[44],"constraint":[46],"handling":[47,74],"technique,":[48],"called":[49],"\u03c5":[51],"-level":[52],"penalty":[53],"function,":[54],"which":[55],"works":[56],"transforming":[58],"COP":[60],"into":[61],"unconstrained":[63],"one.":[64],"Also,":[65],"to":[66,94],"improve":[67],"ability":[69],"algorithm":[72,133],"several":[75,136],"complex":[76],"constraints,":[77,83],"especially":[78],"nonlinear":[79],"inequality":[80],"equality":[82],"suggest":[85],"Broyden-based":[87],"mutation":[88],"that":[89,130],"finds":[90],"solution":[93],"replace":[95],"solution.":[98],"By":[99],"incorporating":[100],"these":[101],"techniques":[102],"with":[103],"matrix":[105],"adaptation":[106],"evolution":[107],"strategy":[108],"(MA-ES),":[109],"develop":[111],"new":[113],"algorithm.":[116],"An":[117],"extensive":[118],"comparative":[119],"analysis":[120],"undertaken":[121],"broad":[124],"range":[125],"benchmark":[127],"indicates":[129],"proposed":[132],"can":[134],"outperform":[135],"state-of-the-art":[137],"evolutionary":[139],"optimizers.":[140]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
