{"id":"https://openalex.org/W4413017544","doi":"https://doi.org/10.1109/tits.2025.3594782","title":"Multi-Strategy Quantum Differential Evolution Algorithm With Cooperative Co-Evolution and Hybrid Search for Capacitated Vehicle Routing","display_name":"Multi-Strategy Quantum Differential Evolution Algorithm With Cooperative Co-Evolution and Hybrid Search for Capacitated Vehicle Routing","publication_year":2025,"publication_date":"2025-08-06","ids":{"openalex":"https://openalex.org/W4413017544","doi":"https://doi.org/10.1109/tits.2025.3594782"},"language":"en","primary_location":{"id":"doi:10.1109/tits.2025.3594782","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tits.2025.3594782","pdf_url":null,"source":{"id":"https://openalex.org/S144771191","display_name":"IEEE Transactions on Intelligent Transportation Systems","issn_l":"1524-9050","issn":["1524-9050","1558-0016"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Intelligent Transportation Systems","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/A5100694571","display_name":"Wu Deng","orcid":"https://orcid.org/0000-0002-4538-2001"},"institutions":[{"id":"https://openalex.org/I4210110849","display_name":"Sichuan Tourism University","ror":"https://ror.org/018rwb805","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210110849"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wu Deng","raw_affiliation_strings":["Sichuan Provincial Key Laboratory of Philosophy and Social Sciences for Mountain Tourism Safety, Sichuan Tourism University, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-4538-2001","affiliations":[{"raw_affiliation_string":"Sichuan Provincial Key Laboratory of Philosophy and Social Sciences for Mountain Tourism Safety, Sichuan Tourism University, Chengdu, China","institution_ids":["https://openalex.org/I4210110849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007312878","display_name":"Shifan Shang","orcid":null},"institutions":[{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shifan Shang","raw_affiliation_strings":["College of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China","institution_ids":["https://openalex.org/I28813325"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101822746","display_name":"Lirong Zhang","orcid":"https://orcid.org/0000-0002-5020-957X"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lirong Zhang","raw_affiliation_strings":["College of Computer, Sichuan University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066617875","display_name":"Yi Lin","orcid":"https://orcid.org/0000-0002-7194-5023"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Lin","raw_affiliation_strings":["College of Computer, Sichuan University, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-7194-5023","affiliations":[{"raw_affiliation_string":"College of Computer, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054718310","display_name":"Chen Huang","orcid":"https://orcid.org/0000-0003-3412-3677"},"institutions":[{"id":"https://openalex.org/I125904092","display_name":"Shenyang Aerospace University","ror":"https://ror.org/02423gm04","country_code":"CN","type":"education","lineage":["https://openalex.org/I125904092"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen Huang","raw_affiliation_strings":["College of Civil Aviation, Shenyang Aerospace University, Shenyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Civil Aviation, Shenyang Aerospace University, Shenyang, China","institution_ids":["https://openalex.org/I125904092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007640749","display_name":"Huimin Zhao","orcid":"https://orcid.org/0000-0002-8208-7861"},"institutions":[{"id":"https://openalex.org/I28813325","display_name":"Civil Aviation University of China","ror":"https://ror.org/03je71k37","country_code":"CN","type":"education","lineage":["https://openalex.org/I28813325"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huimin Zhao","raw_affiliation_strings":["College of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-8208-7861","affiliations":[{"raw_affiliation_string":"College of Electronic Information and Automation, Civil Aviation University of China, Tianjin, China","institution_ids":["https://openalex.org/I28813325"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028352874","display_name":"Xiaojuan Ran","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110849","display_name":"Sichuan Tourism University","ror":"https://ror.org/018rwb805","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210110849"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaojuan Ran","raw_affiliation_strings":["School of Information and Engineering, Sichuan Tourism University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Engineering, Sichuan Tourism University, Chengdu, China","institution_ids":["https://openalex.org/I4210110849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011800995","display_name":"Xiangbing Zhou","orcid":"https://orcid.org/0000-0002-9349-7487"},"institutions":[{"id":"https://openalex.org/I4210110849","display_name":"Sichuan Tourism University","ror":"https://ror.org/018rwb805","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210110849"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangbing Zhou","raw_affiliation_strings":["School of Information and Engineering, Sichuan Tourism University, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information and Engineering, Sichuan Tourism University, Chengdu, China","institution_ids":["https://openalex.org/I4210110849"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100648348","display_name":"Huiling Chen","orcid":"https://orcid.org/0000-0002-7714-9693"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huiling Chen","raw_affiliation_strings":["College of Computer Science and Artificial Intelligence, Wenzhou University, Wenzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Artificial Intelligence, Wenzhou University, Wenzhou, China","institution_ids":["https://openalex.org/I146620803"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":52.4062,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.99962459,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"26","issue":"11","first_page":"18460","last_page":"18470"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9674000144004822,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9674000144004822,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11942","display_name":"Transportation and Mobility Innovations","score":0.9607999920845032,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9047999978065491,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/vehicle-routing-problem","display_name":"Vehicle routing problem","score":0.6485075950622559},{"id":"https://openalex.org/keywords/differential-evolution","display_name":"Differential evolution","score":0.6366840600967407},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.541456937789917},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5306205749511719},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4677232503890991},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.4370809495449066},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41807079315185547},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21985381841659546},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20241963863372803},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.12582433223724365},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06377202272415161}],"concepts":[{"id":"https://openalex.org/C123784306","wikidata":"https://www.wikidata.org/wiki/Q944041","display_name":"Vehicle routing problem","level":3,"score":0.6485075950622559},{"id":"https://openalex.org/C74750220","wikidata":"https://www.wikidata.org/wiki/Q2662197","display_name":"Differential evolution","level":2,"score":0.6366840600967407},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.541456937789917},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5306205749511719},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4677232503890991},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.4370809495449066},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41807079315185547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21985381841659546},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20241963863372803},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.12582433223724365},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06377202272415161}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tits.2025.3594782","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tits.2025.3594782","pdf_url":null,"source":{"id":"https://openalex.org/S144771191","display_name":"IEEE Transactions on Intelligent Transportation Systems","issn_l":"1524-9050","issn":["1524-9050","1558-0016"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Intelligent Transportation Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1610157109","display_name":null,"funder_award_id":"U2133205","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3339404057","display_name":null,"funder_award_id":"42371437","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4941035406","display_name":null,"funder_award_id":"RVL2511","funder_id":"https://openalex.org/F4320330181","funder_display_name":"State Key Laboratory of Food Science and Technology, Nanchang University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320330181","display_name":"State Key Laboratory of Food Science and Technology, Nanchang University","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W1595159159","https://openalex.org/W2100211715","https://openalex.org/W2111581650","https://openalex.org/W2122274805","https://openalex.org/W2242266352","https://openalex.org/W2413634576","https://openalex.org/W2963679128","https://openalex.org/W2998173449","https://openalex.org/W3092652491","https://openalex.org/W3096193467","https://openalex.org/W3110302621","https://openalex.org/W3124055213","https://openalex.org/W3214868035","https://openalex.org/W4210713853","https://openalex.org/W4283397377","https://openalex.org/W4285244731","https://openalex.org/W4285304232","https://openalex.org/W4312349470","https://openalex.org/W4312602425","https://openalex.org/W4317794505","https://openalex.org/W4381249952","https://openalex.org/W4384080806","https://openalex.org/W4387717465","https://openalex.org/W4388576125","https://openalex.org/W4390604927","https://openalex.org/W4390691974","https://openalex.org/W4391312129","https://openalex.org/W4392843881","https://openalex.org/W4393061481","https://openalex.org/W4394966965","https://openalex.org/W4396935731","https://openalex.org/W4399223636","https://openalex.org/W4399881135","https://openalex.org/W4400063643","https://openalex.org/W4401211149","https://openalex.org/W4402039893","https://openalex.org/W4403534272","https://openalex.org/W4404469638","https://openalex.org/W4404580208","https://openalex.org/W4405893915","https://openalex.org/W4405968093","https://openalex.org/W4406163794","https://openalex.org/W4407782703","https://openalex.org/W4407937711","https://openalex.org/W4408251248","https://openalex.org/W4409725736","https://openalex.org/W4410115345","https://openalex.org/W4411103670"],"related_works":["https://openalex.org/W4312143452","https://openalex.org/W2018691209","https://openalex.org/W4247364272","https://openalex.org/W3133151256","https://openalex.org/W2157331354","https://openalex.org/W2132920749","https://openalex.org/W2101108574","https://openalex.org/W2626773395","https://openalex.org/W2035908454","https://openalex.org/W1994782139"],"abstract_inverted_index":{"Capacitated":[0],"Vehicle":[1],"Routing":[2],"Problem":[3],"(CVRP)":[4],"is":[5,38,72,87,107,130,149],"a":[6,55,80,120,144],"critical":[7],"challenge":[8],"in":[9,29,36],"logistics":[10],"optimization,":[11],"which":[12,210],"directly":[13],"impact":[14],"operational":[15],"costs":[16],"and":[17,49,65,97,113,115,137,157,175,188,205,207],"service":[18],"efficiency.":[19],"While":[20],"quantum":[21,122],"differential":[22,104],"evolution":[23],"(QDE)":[24],"algorithm":[25,59],"offers":[26],"potential":[27],"advantages":[28],"solving":[30],"combinatorial":[31],"optimization":[32,96],"problems,":[33],"its":[34],"application":[35],"CVRP":[37],"still":[39],"limited":[40],"due":[41],"to":[42,74,89,109,132,151],"the":[43,77,111,117,126,134,141,154,160,164,180,194],"premature":[44],"convergence,":[45],"poor":[46],"search":[47,68,135,147,184],"capability":[48],"stagnation.":[50,139],"To":[51],"address":[52],"these":[53],"limitations,":[54],"novel":[56],"multi-strategy":[57],"QDE":[58],"with":[60,84,125,193,219],"cooperative":[61],"co-evolution":[62],"(CC)":[63],"framework":[64,86],"hybrid":[66,145],"local":[67,146],"strategy,":[69],"namely":[70],"MSCFLQDE":[71,181],"proposed":[73,150],"effectively":[75],"solve":[76,90],"CVRP.":[78],"Firstly,":[79],"new":[81,121],"multi-population":[82],"strategy":[83,148],"CC":[85],"designed":[88,131],"each":[91],"sub-CVRP":[92],"for":[93,215],"enabling":[94],"parallel":[95],"preserving":[98],"global":[99],"constraints.":[100],"Then":[101],"an":[102],"adaptive":[103],"mutation":[105],"mechanism":[106],"developed":[108],"balance":[110],"exploration":[112],"exploitation":[114],"accelerate":[116],"convergence.":[118],"Thirdly,":[119],"rotation":[123],"mode":[124],"sorting":[127],"coding":[128],"rule":[129],"adjust":[133],"direction":[136],"reduce":[138],"In":[140],"later":[142],"stage,":[143],"dynamically":[152],"eliminate":[153],"redundant":[155],"nodes":[156],"intersections.":[158],"Finally,":[159],"experiment":[161],"results":[162],"on":[163],"five":[165],"CVRPs":[166],"(set":[167],"A,":[168],"set":[169,171,173,176],"B,":[170],"P,":[172],"E,":[174],"G)":[177],"demonstrate":[178],"that":[179],"has":[182],"better":[183],"ability,":[185],"higher":[186],"convergence":[187],"stronger":[189],"stability":[190],"by":[191,217],"comparing":[192,218],"state-of-the-art":[195],"algorithms(such":[196],"as":[197],"CCDE,":[198],"CCDE-D,":[199],"CCDE-R,":[200],"CCDE-S,":[201],"HGS,":[202],"BILA,":[203],"AGA-ES":[204],"TAMLS":[206],"so":[208],"on),":[209],"achieves":[211],"5.53%":[212],"shorter":[213],"distances":[214],"P51_K10":[216],"AGA-ES.":[220]},"counts_by_year":[{"year":2026,"cited_by_count":28},{"year":2025,"cited_by_count":12}],"updated_date":"2025-11-12T23:11:45.498971","created_date":"2025-10-10T00:00:00"}