{"id":"https://openalex.org/W2124732306","doi":"https://doi.org/10.1109/sis.2007.368039","title":"On Trajectories of Particles in PSO","display_name":"On Trajectories of Particles in PSO","publication_year":2007,"publication_date":"2007-04-01","ids":{"openalex":"https://openalex.org/W2124732306","doi":"https://doi.org/10.1109/sis.2007.368039","mag":"2124732306"},"language":"en","primary_location":{"id":"doi:10.1109/sis.2007.368039","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sis.2007.368039","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Swarm Intelligence Symposium","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/A5091314797","display_name":"Stefan Janson","orcid":null},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Stefan Janson","raw_affiliation_strings":["Parallel Computing and Complex Systems Group, University of Leipzig, Leipzig, Germany","Parallel Comput. & Complex Syst. Group, Leipzig Univ"],"affiliations":[{"raw_affiliation_string":"Parallel Computing and Complex Systems Group, University of Leipzig, Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]},{"raw_affiliation_string":"Parallel Comput. & Complex Syst. Group, Leipzig Univ","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016253883","display_name":"Martin Middendorf","orcid":"https://orcid.org/0000-0002-5426-1092"},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Middendorf","raw_affiliation_strings":["Parallel Computing and Complex Systems Group, University of Leipzig, Leipzig, Germany","Parallel Comput. & Complex Syst. Group, Leipzig Univ"],"affiliations":[{"raw_affiliation_string":"Parallel Computing and Complex Systems Group, University of Leipzig, Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]},{"raw_affiliation_string":"Parallel Comput. & Complex Syst. Group, Leipzig Univ","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091314797"],"corresponding_institution_ids":["https://openalex.org/I926574661"],"apc_list":null,"apc_paid":null,"fwci":3.8691,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.93685637,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"150","last_page":"155"},"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/T13717","display_name":"Advanced Algorithms and Applications","score":0.9840999841690063,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9401000142097473,"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":0.822219729423523},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5923349857330322},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5609357953071594},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4685068428516388},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4441559910774231},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4245818257331848},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41519755125045776},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4125121235847473},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4051678478717804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3999061584472656},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1873689889907837}],"concepts":[{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.822219729423523},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5923349857330322},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5609357953071594},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4685068428516388},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4441559910774231},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4245818257331848},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41519755125045776},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4125121235847473},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4051678478717804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3999061584472656},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1873689889907837},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/sis.2007.368039","is_oa":false,"landing_page_url":"https://doi.org/10.1109/sis.2007.368039","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE Swarm Intelligence Symposium","raw_type":"proceedings-article"},{"id":"pmh:oai:lips.informatik.uni-leipzig.de:1050","is_oa":false,"landing_page_url":"http://lips.informatik.uni-leipzig.de/?q=node/1050","pdf_url":null,"source":{"id":"https://openalex.org/S4377196964","display_name":"Publikation Server (Leipzig University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I926574661","host_organization_name":"Leipzig University","host_organization_lineage":["https://openalex.org/I926574661"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proc. IEEE Swarm Intelligence Symposium, IEEE, 8 pp., 2007.","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W133145447","https://openalex.org/W1628481780","https://openalex.org/W2033884996","https://openalex.org/W2081749411","https://openalex.org/W2091735644","https://openalex.org/W2100170252","https://openalex.org/W2111393363","https://openalex.org/W2152195021","https://openalex.org/W2161497816","https://openalex.org/W2169245194","https://openalex.org/W6674837144"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W4321353415","https://openalex.org/W2130974462","https://openalex.org/W972276598","https://openalex.org/W2086519370","https://openalex.org/W2028665553","https://openalex.org/W2087343574","https://openalex.org/W2535915176","https://openalex.org/W2105860728","https://openalex.org/W4287657826"],"abstract_inverted_index":{"The":[0],"moving":[1],"behaviour":[2,49,121],"of":[3,38,50,58,65,88,104,122,137],"the":[4,36,39,44,47,59,86,89,119,127,138],"particles":[5,21],"in":[6,14,22,29],"particle":[7,76,92],"swarm":[8],"optimization":[9,48,60,139],"(PSO)":[10],"algorithms":[11],"is":[12,18,53,68,82,109,112,142],"studied":[13],"this":[15,107],"paper.":[16],"It":[17,111,141],"shown":[19,113,144],"that":[20,33,46,69,118,149],"standard":[23,51,66,146,153],"PSO":[24,52,67,124,132,151,154],"have":[25],"a":[26,75,94,99],"clear":[27],"bias":[28,129],"their":[30],"movement":[31,87,105,120],"direction":[32,37],"depends":[34],"on":[35,135],"coordinate":[40],"axes.":[41],"This":[42],"has":[43],"effect":[45],"not":[54],"invariant":[55],"to":[56,77,84,98],"rotations":[57,136],"function.":[61,140],"A":[62,79,91],"second":[63],"problem":[64],"non-oscillatory":[70],"trajectories":[71],"can":[72,125],"quickly":[73],"cause":[74],"stagnate.":[78],"sidestep":[80,95,123,150],"mechanism":[81],"proposed":[83],"improve":[85],"particles.":[90],"performs":[93],"with":[96],"respect":[97],"certain":[100],"dimension":[101,108],"when":[102],"stagnation":[103],"along":[106],"observed.":[110],"for":[114,145],"simple":[115],"test":[116],"functions":[117,148],"prevent":[126],"unwanted":[128],"and":[130],"makes":[131],"less":[133],"dependent":[134],"also":[143],"benchmark":[147],"outperforms":[152]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}