{"id":"https://openalex.org/W2076670249","doi":"https://doi.org/10.1109/cec.2007.4424571","title":"A good nodes set evolution strategy for constrained optimization","display_name":"A good nodes set evolution strategy for constrained optimization","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W2076670249","doi":"https://doi.org/10.1109/cec.2007.4424571","mag":"2076670249"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2007.4424571","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2007.4424571","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Congress on Evolutionary Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"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/A5067997661","display_name":"Chixin Xiao","orcid":"https://orcid.org/0000-0002-3911-7113"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chixin Xiao","raw_affiliation_strings":["The College of information Science and Information Engineering college, Centre of South University, Changsha, Hunan, China","[Central South University, Changsha]"],"affiliations":[{"raw_affiliation_string":"The College of information Science and Information Engineering college, Centre of South University, Changsha, Hunan, China","institution_ids":[]},{"raw_affiliation_string":"[Central South University, Changsha]","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101440146","display_name":"Zixing Cai","orcid":"https://orcid.org/0000-0003-1809-9590"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zixing Cai","raw_affiliation_strings":["The college of Information Science and Engineering, Central South University, Changsha, Hunan, China","[Central South University, Changsha]"],"affiliations":[{"raw_affiliation_string":"The college of Information Science and Engineering, Central South University, Changsha, Hunan, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"[Central South University, Changsha]","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100424366","display_name":"Yong Wang","orcid":"https://orcid.org/0000-0001-7670-3958"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Wang","raw_affiliation_strings":["The college of Information Science and Engineering, Central South University, Changsha, Hunan, China","[Central South University, Changsha]"],"affiliations":[{"raw_affiliation_string":"The college of Information Science and Engineering, Central South University, Changsha, Hunan, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"[Central South University, Changsha]","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5067997661"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":null,"apc_paid":null,"fwci":1.8774,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.87812024,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"943","last_page":"950"},"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":0.9958999752998352,"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/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/crossover","display_name":"Crossover","score":0.8635331392288208},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6913610100746155},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6693688035011292},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.6225594878196716},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6044071316719055},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5514239072799683},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5360589027404785},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.5036620497703552},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.5008490085601807},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.44331490993499756},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.42901769280433655},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.41092365980148315},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35744398832321167},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27005064487457275},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20997607707977295}],"concepts":[{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.8635331392288208},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6913610100746155},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6693688035011292},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.6225594878196716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6044071316719055},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5514239072799683},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5360589027404785},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.5036620497703552},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.5008490085601807},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.44331490993499756},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.42901769280433655},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.41092365980148315},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35744398832321167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27005064487457275},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20997607707977295},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cec.2007.4424571","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2007.4424571","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Congress on Evolutionary Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W2013811797","https://openalex.org/W2069144035","https://openalex.org/W2078197553","https://openalex.org/W2084260228","https://openalex.org/W2098392363","https://openalex.org/W2117640392","https://openalex.org/W2151339633","https://openalex.org/W2155951974","https://openalex.org/W2171524068","https://openalex.org/W2355503583","https://openalex.org/W4232569293","https://openalex.org/W4233107852","https://openalex.org/W6683070944","https://openalex.org/W7000680048"],"related_works":["https://openalex.org/W3204184292","https://openalex.org/W3176564347","https://openalex.org/W1985458517","https://openalex.org/W2347477706","https://openalex.org/W4388248951","https://openalex.org/W1985939653","https://openalex.org/W1606499289","https://openalex.org/W2911578165","https://openalex.org/W2626282817","https://openalex.org/W1997287370"],"abstract_inverted_index":{"Good":[0],"Nodes":[1],"Set(GNS)":[2],"is":[3,69,77,120,139],"a":[4,24,155],"concept":[5],"in":[6,86,100],"number":[7],"theory.":[8],"To":[9],"overcome":[10],"the":[11,32,36,42,55,63,81,94,107,113,124,127,143,149,161],"deficiency":[12],"of":[13,35,60,126,148,157,163],"orthogonal":[14,114],"design":[15],"to":[16,30,53,62,79,136,141],"handle":[17],"constrained":[18],"optimization":[19],"problems(COPs),":[20],"this":[21],"paper":[22],"presents":[23],"method":[25,105,115],"that":[26],"incorporate":[27],"GNS":[28,74],"principle":[29],"enhance":[31],"crossover":[33,67],"operator":[34,68],"evolution":[37],"strategy":[38],"(ES)":[39],"can":[40],"make":[41],"resulting":[43],"evolutionary":[44],"algorithm":[45],"more":[46],"robust":[47],"and":[48,57,91,132,145],"statically":[49],"sound.":[50],"In":[51],"order":[52],"gain":[54],"rapid":[56],"stable":[58],"rate":[59],"converging":[61],"feasible":[64],"region,":[65],"traditional":[66],"split":[70],"into":[71],"two":[72],"steps.":[73],"initialization":[75],"methods":[76],"applied":[78],"ensure":[80],"initial":[82],"population":[83],"span":[84],"evenly":[85],"relatively":[87],"large":[88],"search":[89],"space":[90],"reliably":[92],"locate":[93],"good":[95],"points":[96],"for":[97],"further":[98],"exploration":[99,144],"subsequent":[101],"iterations.":[102],"The":[103,129],"proposed":[104],"achieves":[106],"same":[108],"sound":[109],"results":[110,153],"just":[111],"as":[112],"does,":[116],"but":[117],"its":[118],"precision":[119],"not":[121],"confined":[122],"by":[123],"dimension":[125],"space.":[128],"simplex":[130],"selected":[131],"diversity":[133],"mechanism":[134],"similar":[135],"Carlos's":[137],"SMES":[138],"used":[140],"enrich":[142],"exploitation":[146],"abilities":[147],"approach":[150],"proposed.":[151],"Experiment":[152],"on":[154],"set":[156],"benchmark":[158],"problems":[159],"show":[160],"efficiency":[162],"our":[164],"methods.":[165]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}