{"id":"https://openalex.org/W4414384890","doi":"https://doi.org/10.1007/s12065-025-01082-2","title":"Matrix-based particle swarm optimization with hybrid strategy for multi-traveling salesman problem","display_name":"Matrix-based particle swarm optimization with hybrid strategy for multi-traveling salesman problem","publication_year":2025,"publication_date":"2025-09-22","ids":{"openalex":"https://openalex.org/W4414384890","doi":"https://doi.org/10.1007/s12065-025-01082-2"},"language":"en","primary_location":{"id":"doi:10.1007/s12065-025-01082-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12065-025-01082-2","pdf_url":null,"source":{"id":"https://openalex.org/S182392644","display_name":"Evolutionary Intelligence","issn_l":"1864-5909","issn":["1864-5909","1864-5917"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evolutionary Intelligence","raw_type":"journal-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/A5100832815","display_name":"Zhaoquan Huang","orcid":"https://orcid.org/0009-0008-2404-5947"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhaoquan Huang","raw_affiliation_strings":["School of Computer Science and Technology, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021775532","display_name":"Donglin Zhu","orcid":"https://orcid.org/0000-0001-9868-8103"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Donglin Zhu","raw_affiliation_strings":["School of Computer Science and Technology, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074618508","display_name":"Changjun Zhou","orcid":"https://orcid.org/0000-0002-6787-5325"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changjun Zhou","raw_affiliation_strings":["School of Computer Science and Technology, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052331069","display_name":"Shi Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shi Cheng","raw_affiliation_strings":["School of Artificial Intelligence and Computer Science, Shaanxi Normal University, Xi\u2019an, 710119, Shaanxi, China","School of Artificial Intelligence and Computer Science, Shaanxi Normal University, Xi'an, 710119, Shaanxi, China"],"affiliations":[{"raw_affiliation_string":"School of Artificial Intelligence and Computer Science, Shaanxi Normal University, Xi\u2019an, 710119, Shaanxi, China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"School of Artificial Intelligence and Computer Science, Shaanxi Normal University, Xi'an, 710119, Shaanxi, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5052331069"],"corresponding_institution_ids":["https://openalex.org/I88830068"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13825128,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9991999864578247,"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":0.9991999864578247,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9753999710083008,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T13717","display_name":"Advanced Algorithms and Applications","score":0.9574999809265137,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.7050999999046326},{"id":"https://openalex.org/keywords/particle-swarm-optimization","display_name":"Particle swarm optimization","score":0.6596999764442444},{"id":"https://openalex.org/keywords/2-opt","display_name":"2-opt","score":0.5981000065803528},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.492000013589859},{"id":"https://openalex.org/keywords/fitness-function","display_name":"Fitness function","score":0.44670000672340393},{"id":"https://openalex.org/keywords/traveling-purchaser-problem","display_name":"Traveling purchaser problem","score":0.42419999837875366},{"id":"https://openalex.org/keywords/vehicle-routing-problem","display_name":"Vehicle routing problem","score":0.41780000925064087},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4154999852180481},{"id":"https://openalex.org/keywords/local-search","display_name":"Local search (optimization)","score":0.3882000148296356}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7829999923706055},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7361999750137329},{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.7050999999046326},{"id":"https://openalex.org/C85617194","wikidata":"https://www.wikidata.org/wiki/Q2072794","display_name":"Particle swarm optimization","level":2,"score":0.6596999764442444},{"id":"https://openalex.org/C106472803","wikidata":"https://www.wikidata.org/wiki/Q291440","display_name":"2-opt","level":3,"score":0.5981000065803528},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.492000013589859},{"id":"https://openalex.org/C176066374","wikidata":"https://www.wikidata.org/wiki/Q629118","display_name":"Fitness function","level":3,"score":0.44670000672340393},{"id":"https://openalex.org/C4331618","wikidata":"https://www.wikidata.org/wiki/Q7836034","display_name":"Traveling purchaser problem","level":4,"score":0.42419999837875366},{"id":"https://openalex.org/C123784306","wikidata":"https://www.wikidata.org/wiki/Q944041","display_name":"Vehicle routing problem","level":3,"score":0.41780000925064087},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4154999852180481},{"id":"https://openalex.org/C135320971","wikidata":"https://www.wikidata.org/wiki/Q1868524","display_name":"Local search (optimization)","level":2,"score":0.3882000148296356},{"id":"https://openalex.org/C181335050","wikidata":"https://www.wikidata.org/wiki/Q14915018","display_name":"Swarm behaviour","level":2,"score":0.3856000006198883},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3790000081062317},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.3587999939918518},{"id":"https://openalex.org/C122357587","wikidata":"https://www.wikidata.org/wiki/Q6934508","display_name":"Multi-swarm optimization","level":3,"score":0.35690000653266907},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.35100001096725464},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.3499999940395355},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3425999879837036},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3237999975681305},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.3206999897956848},{"id":"https://openalex.org/C141934464","wikidata":"https://www.wikidata.org/wiki/Q3305386","display_name":"Local optimum","level":2,"score":0.3034999966621399},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.289000004529953},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.2842000126838684}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12065-025-01082-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12065-025-01082-2","pdf_url":null,"source":{"id":"https://openalex.org/S182392644","display_name":"Evolutionary Intelligence","issn_l":"1864-5909","issn":["1864-5909","1864-5917"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Evolutionary Intelligence","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W235790960","https://openalex.org/W1179686678","https://openalex.org/W1989432959","https://openalex.org/W2002730737","https://openalex.org/W2033915107","https://openalex.org/W2036573713","https://openalex.org/W2041970949","https://openalex.org/W2050819731","https://openalex.org/W2073487751","https://openalex.org/W2101029682","https://openalex.org/W2109216217","https://openalex.org/W2131613989","https://openalex.org/W2152195021","https://openalex.org/W2160320854","https://openalex.org/W2219548420","https://openalex.org/W2281099931","https://openalex.org/W2289527149","https://openalex.org/W2294259353","https://openalex.org/W2563457599","https://openalex.org/W2793329764","https://openalex.org/W2905301715","https://openalex.org/W2997585558","https://openalex.org/W3013599931","https://openalex.org/W3026597594","https://openalex.org/W3118630579","https://openalex.org/W3122203696","https://openalex.org/W3124449569","https://openalex.org/W3201547235","https://openalex.org/W4205275914","https://openalex.org/W4214479142","https://openalex.org/W4220918649","https://openalex.org/W4321850199","https://openalex.org/W4376638471","https://openalex.org/W4385213241","https://openalex.org/W4386805472","https://openalex.org/W4390324796","https://openalex.org/W4393183807","https://openalex.org/W4393972702","https://openalex.org/W4394994624","https://openalex.org/W4402435386","https://openalex.org/W4406018902","https://openalex.org/W4406160951"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
