{"id":"https://openalex.org/W2082606702","doi":"https://doi.org/10.1109/icnc.2010.5583056","title":"Discrete particle swarm optimization with greedy randomized adaptive search procedure for linear order problem","display_name":"Discrete particle swarm optimization with greedy randomized adaptive search procedure for linear order problem","publication_year":2010,"publication_date":"2010-08-01","ids":{"openalex":"https://openalex.org/W2082606702","doi":"https://doi.org/10.1109/icnc.2010.5583056","mag":"2082606702"},"language":"en","primary_location":{"id":"doi:10.1109/icnc.2010.5583056","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icnc.2010.5583056","pdf_url":null,"source":{"id":"https://openalex.org/S4363608012","display_name":"2010 Sixth International Conference on Natural Computation","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 Sixth International Conference on Natural 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/A5083827462","display_name":"Enxiu Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210154121","display_name":"Shandong Institute of Commerce & Technology","ror":"https://ror.org/03xk2yz39","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210154121"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Enxiu Chen","raw_affiliation_strings":["School of Business Administration, Shandong Institute of Commerce and Technology, Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Business Administration, Shandong Institute of Commerce and Technology, Jinan, China","institution_ids":["https://openalex.org/I4210154121"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101414243","display_name":"Yi Sun","orcid":"https://orcid.org/0009-0001-7923-3557"},"institutions":[{"id":"https://openalex.org/I4210154121","display_name":"Shandong Institute of Commerce & Technology","ror":"https://ror.org/03xk2yz39","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210154121"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Sun","raw_affiliation_strings":["School of Business Administration, Shandong Institute of Commerce and Technology, Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Business Administration, Shandong Institute of Commerce and Technology, Jinan, China","institution_ids":["https://openalex.org/I4210154121"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080482972","display_name":"Zhenliang Pan","orcid":null},"institutions":[{"id":"https://openalex.org/I4210154121","display_name":"Shandong Institute of Commerce & Technology","ror":"https://ror.org/03xk2yz39","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210154121"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenliang Pan","raw_affiliation_strings":["School of Business Administration, Shandong Institute of Commerce and Technology, Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Business Administration, Shandong Institute of Commerce and Technology, Jinan, China","institution_ids":["https://openalex.org/I4210154121"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101675341","display_name":"Xiyu Liu","orcid":"https://orcid.org/0000-0002-4535-916X"},"institutions":[{"id":"https://openalex.org/I28006308","display_name":"Shandong Normal University","ror":"https://ror.org/01wy3h363","country_code":"CN","type":"education","lineage":["https://openalex.org/I28006308"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiyu Liu","raw_affiliation_strings":["School of Management & Economics, Shandong Normal University, Jinan, China","[School of Management and Economics, Shandong Normal University, Jinan, China]"],"affiliations":[{"raw_affiliation_string":"School of Management & Economics, Shandong Normal University, Jinan, China","institution_ids":["https://openalex.org/I28006308"]},{"raw_affiliation_string":"[School of Management and Economics, Shandong Normal University, Jinan, China]","institution_ids":["https://openalex.org/I28006308"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5083827462"],"corresponding_institution_ids":["https://openalex.org/I4210154121"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.23371284,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"33","issue":null,"first_page":"2614","last_page":"2618"},"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9876999855041504,"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":0.9811000227928162,"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/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.7774524688720703},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6469319462776184},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5974879264831543},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.563931941986084},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.554485559463501},{"id":"https://openalex.org/keywords/greedy-randomized-adaptive-search-procedure","display_name":"Greedy randomized adaptive search procedure","score":0.5392813086509705},{"id":"https://openalex.org/keywords/crossover","display_name":"Crossover","score":0.5319348573684692},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.5301334261894226},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.5141849517822266},{"id":"https://openalex.org/keywords/random-permutation","display_name":"Random permutation","score":0.4361114203929901},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4336319863796234},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.41678160429000854},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.41055548191070557},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3061363399028778},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2361205816268921},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12304562330245972}],"concepts":[{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.7774524688720703},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6469319462776184},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5974879264831543},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.563931941986084},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.554485559463501},{"id":"https://openalex.org/C126221529","wikidata":"https://www.wikidata.org/wiki/Q3116070","display_name":"Greedy randomized adaptive search procedure","level":3,"score":0.5392813086509705},{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.5319348573684692},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.5301334261894226},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.5141849517822266},{"id":"https://openalex.org/C200985842","wikidata":"https://www.wikidata.org/wiki/Q3375503","display_name":"Random permutation","level":3,"score":0.4361114203929901},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4336319863796234},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.41678160429000854},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.41055548191070557},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3061363399028778},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2361205816268921},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12304562330245972},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icnc.2010.5583056","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icnc.2010.5583056","pdf_url":null,"source":{"id":"https://openalex.org/S4363608012","display_name":"2010 Sixth International Conference on Natural Computation","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 Sixth International Conference on Natural Computation","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":11,"referenced_works":["https://openalex.org/W202510507","https://openalex.org/W1527837582","https://openalex.org/W1551167422","https://openalex.org/W1586603169","https://openalex.org/W1913619579","https://openalex.org/W2059655077","https://openalex.org/W2077215180","https://openalex.org/W2149523634","https://openalex.org/W2152195021","https://openalex.org/W4240160161","https://openalex.org/W6682329694"],"related_works":["https://openalex.org/W1481410647","https://openalex.org/W4295205538","https://openalex.org/W2184131469","https://openalex.org/W2277088917","https://openalex.org/W2154172459","https://openalex.org/W4321748008","https://openalex.org/W2809828719","https://openalex.org/W2541760731","https://openalex.org/W2018096104","https://openalex.org/W1827895227"],"abstract_inverted_index":{"Given":[0],"a":[1,13,36,135,143,164],"matrix":[2],"of":[3,11,15,26,60,71,80,92,121,125,167,179,186,193,199],"weights,":[4],"the":[5,16,24,27,30,58,68,84,87,90,95,102,106,111,119,122,149,155,170,200],"linear":[6,150],"order":[7,21,151],"problem":[8,152],"(LOP)":[9],"consists":[10],"finding":[12],"permutation":[14,64,114],"columns":[17],"and":[18,54,82,142],"rows":[19],"in":[20,29,62,67,89,100],"to":[22,175],"maximize":[23],"sum":[25],"weights":[28],"upper":[31],"triangle.":[32],"This":[33],"paper":[34],"introduces":[35],"modified":[37],"discrete":[38,129],"particle":[39,69,96],"swarm":[40],"optimization":[41],"(PSO)":[42],"which":[43],"deals":[44],"with":[45,134],"LOP.":[46],"It":[47],"doesn't":[48],"use":[49],"exchange,":[50],"crossover,":[51],"mutation,":[52],"insertion":[53],"deletion":[55],"operators.":[56],"But":[57],"positions":[59],"elements":[61,72],"solution":[63,113],"are":[65],"stored":[66],"instead":[70],"themselves.":[73],"We":[74],"only":[75],"change":[76],"our":[77],"observation":[78],"point":[79],"view":[81],"conceive":[83],"velocity":[85],"as":[86,105],"shift":[88],"position":[91,97,124],"elements.":[93,126],"So":[94],"is":[98,131],"updated":[99,112,123],"much":[101],"same":[103],"way":[104],"canonical":[107],"continuous":[108],"PSO.":[109],"Then":[110],"was":[115,173],"obtained":[116],"by":[117],"sorting":[118],"values":[120],"The":[127],"proposed":[128,156,171],"PSO":[130],"also":[132],"integrated":[133],"greedy":[136],"randomized":[137],"adaptive":[138],"search":[139,145],"procedure":[140,157],"(GRASP)":[141],"local":[144],"scheme.":[146],"Experiments":[147],"on":[148],"show":[153],"that":[154],"provides":[158],"extremely":[159],"high":[160],"quality":[161],"solutions":[162,183,204],"within":[163],"low":[165],"number":[166],"evaluations.":[168],"Ultimately,":[169],"algorithm":[172],"able":[174],"improve":[176],"67":[177],"out":[178,198],"75":[180,201],"best":[181,202],"known":[182,203],"for":[184,191],"instances":[185,192],"Random":[187,194],"type":[188,195],"I":[189],"whereas":[190],"II,":[196],"26":[197],"were":[205],"improved.":[206]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
