{"id":"https://openalex.org/W1952851966","doi":"https://doi.org/10.1109/cec.2004.1331185","title":"Handling boundary constraints for numerical optimization by particle swarm flying in periodic search space","display_name":"Handling boundary constraints for numerical optimization by particle swarm flying in periodic search space","publication_year":2005,"publication_date":"2005-01-17","ids":{"openalex":"https://openalex.org/W1952851966","doi":"https://doi.org/10.1109/cec.2004.1331185","mag":"1952851966"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2004.1331185","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2004.1331185","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753)","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":null,"display_name":"Wen-Jun Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119392","display_name":"Institute of Microelectronics","ror":"https://ror.org/02s6gs133","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210119392"]},{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wen-Jun Zhang","raw_affiliation_strings":["Institute of Microelectronics, Tsinghua University, Beijing, P. R. China","Inst. of Microelectron., Tsinghua Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Microelectronics, Tsinghua University, Beijing, P. R. China","institution_ids":["https://openalex.org/I99065089","https://openalex.org/I4210119392"]},{"raw_affiliation_string":"Inst. of Microelectron., Tsinghua Univ., Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017238969","display_name":"Xiaofeng Xie","orcid":"https://orcid.org/0000-0002-7970-2974"},"institutions":[{"id":"https://openalex.org/I4210119392","display_name":"Institute of Microelectronics","ror":"https://ror.org/02s6gs133","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210119392"]},{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Feng Xie","raw_affiliation_strings":["Institute of Microelectronics, Tsinghua University, Beijing, P. R. China","Inst. of Microelectron., Tsinghua Univ., Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Microelectronics, Tsinghua University, Beijing, P. R. China","institution_ids":["https://openalex.org/I99065089","https://openalex.org/I4210119392"]},{"raw_affiliation_string":"Inst. of Microelectron., Tsinghua Univ., Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044346348","display_name":"De-Chun Bi","orcid":null},"institutions":[{"id":"https://openalex.org/I118803816","display_name":"Liaoning University","ror":"https://ror.org/03xpwj629","country_code":"CN","type":"education","lineage":["https://openalex.org/I118803816"]},{"id":"https://openalex.org/I166846921","display_name":"Liaoning Shihua University","ror":"https://ror.org/00k6c4h29","country_code":"CN","type":"education","lineage":["https://openalex.org/I166846921"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"De-Chun Bi","raw_affiliation_strings":["Department of Environmental Engineering, Liaoning University of Petroleum & Chemical Technology, Fushun, Liaoning, P. R. China","[Department of Environmental Engineering, Liaoning University of Petroleum & Chemical Technology, Fushun, Liaoning, P. R. China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Environmental Engineering, Liaoning University of Petroleum & Chemical Technology, Fushun, Liaoning, P. R. China","institution_ids":["https://openalex.org/I166846921","https://openalex.org/I118803816"]},{"raw_affiliation_string":"[Department of Environmental Engineering, Liaoning University of Petroleum & Chemical Technology, Fushun, Liaoning, P. R. China]","institution_ids":["https://openalex.org/I166846921","https://openalex.org/I118803816"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.9726,"has_fulltext":false,"cited_by_count":89,"citation_normalized_percentile":{"value":0.95882037,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"2307","last_page":"2311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T13187","display_name":"Diffusion and Search Dynamics","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9853000044822693,"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/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.8427311182022095},{"id":"https://openalex.org/keywords/periodic-boundary-conditions","display_name":"Periodic boundary conditions","score":0.732609212398529},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.6961907148361206},{"id":"https://openalex.org/keywords/swarm-behaviour","display_name":"Swarm behaviour","score":0.6645379662513733},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6644790768623352},{"id":"https://openalex.org/keywords/multi-swarm-optimization","display_name":"Multi-swarm optimization","score":0.6344161033630371},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5742816925048828},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5182466506958008},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.502159833908081},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4428701400756836},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.39245280623435974},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3917776644229889},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.35717329382896423},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35472989082336426},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21969926357269287},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.049574315547943115}],"concepts":[{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.8427311182022095},{"id":"https://openalex.org/C112675119","wikidata":"https://www.wikidata.org/wiki/Q2992284","display_name":"Periodic boundary conditions","level":3,"score":0.732609212398529},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6961907148361206},{"id":"https://openalex.org/C181335050","wikidata":"https://www.wikidata.org/wiki/Q14915018","display_name":"Swarm behaviour","level":2,"score":0.6645379662513733},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6644790768623352},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.6344161033630371},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5742816925048828},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5182466506958008},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.502159833908081},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4428701400756836},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.39245280623435974},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3917776644229889},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35717329382896423},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35472989082336426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21969926357269287},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.049574315547943115},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cec.2004.1331185","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2004.1331185","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W148552177","https://openalex.org/W1595159159","https://openalex.org/W1820051232","https://openalex.org/W1907005258","https://openalex.org/W2081749411","https://openalex.org/W2100170252","https://openalex.org/W2102343719","https://openalex.org/W2135695651","https://openalex.org/W2145479420","https://openalex.org/W2152195021","https://openalex.org/W2155951974","https://openalex.org/W2161029074","https://openalex.org/W2164655924","https://openalex.org/W2169245194","https://openalex.org/W6605980648","https://openalex.org/W6674837144"],"related_works":["https://openalex.org/W2006324351","https://openalex.org/W2965421953","https://openalex.org/W2349895019","https://openalex.org/W2116074880","https://openalex.org/W2950423922","https://openalex.org/W2121780490","https://openalex.org/W2137136732","https://openalex.org/W2132113279","https://openalex.org/W2368795850","https://openalex.org/W2113224065"],"abstract_inverted_index":{"The":[0,45],"periodic":[1,22,55],"mode":[2,56],"is":[3,36,57],"analyzed":[4],"together":[5],"with":[6,54,67],"two":[7],"conventional":[8,70],"boundary":[9],"handling":[10],"modes":[11,71],"for":[12],"particle":[13,33,52],"swarm.":[14],"By":[15],"providing":[16],"an":[17],"infinite":[18],"space":[19],"that":[20,35,51,68],"comprises":[21],"copies":[23],"of":[24,32,59,69],"original":[25],"search":[26,62],"space,":[27],"it":[28],"avoids":[29],"possible":[30],"disorganizing":[31],"swarm":[34,53],"induced":[37],"by":[38,65],"the":[39,43,61],"undesired":[40],"mutations":[41],"at":[42],"boundary.":[44],"results":[46],"on":[47],"benchmark":[48],"functions":[49],"show":[50],"capable":[58],"improving":[60],"performance":[63],"significantly,":[64],"compared":[66],"and":[72],"other":[73],"algorithms.":[74]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":8}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
