{"id":"https://openalex.org/W4313854346","doi":"https://doi.org/10.1109/tnet.2023.3234324","title":"Multi-Objective Optimization Approaches for Physical Layer Secure Communications Based on Collaborative Beamforming in UAV Networks","display_name":"Multi-Objective Optimization Approaches for Physical Layer Secure Communications Based on Collaborative Beamforming in UAV Networks","publication_year":2023,"publication_date":"2023-01-09","ids":{"openalex":"https://openalex.org/W4313854346","doi":"https://doi.org/10.1109/tnet.2023.3234324"},"language":"en","primary_location":{"id":"doi:10.1109/tnet.2023.3234324","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnet.2023.3234324","pdf_url":null,"source":{"id":"https://openalex.org/S62238642","display_name":"IEEE/ACM Transactions on Networking","issn_l":"1063-6692","issn":["1063-6692","1558-2566"],"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/ACM Transactions on Networking","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/A5100462964","display_name":"Jiahui Li","orcid":"https://orcid.org/0000-0002-7454-3257"},"institutions":[{"id":"https://openalex.org/I152815399","display_name":"Singapore University of Technology and Design","ror":"https://ror.org/05j6fvn87","country_code":"SG","type":"education","lineage":["https://openalex.org/I152815399"]},{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN","SG"],"is_corresponding":false,"raw_author_name":"Jiahui Li","raw_affiliation_strings":["College of Computer Science and Technology, Jilin University, Changchun, China","Pillar of Engineering Systems and Design, Singapore University of Technology and Design, Singapore, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-7454-3257","affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Jilin University, Changchun, China","institution_ids":["https://openalex.org/I194450716","https://openalex.org/I4210134929"]},{"raw_affiliation_string":"Pillar of Engineering Systems and Design, Singapore University of Technology and Design, Singapore, Singapore","institution_ids":["https://openalex.org/I152815399"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085514719","display_name":"Geng Sun","orcid":"https://orcid.org/0000-0001-7802-4908"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Geng Sun","raw_affiliation_strings":["College of Computer Science and Technology, Jilin University, Changchun, China"],"raw_orcid":"https://orcid.org/0000-0001-7802-4908","affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Jilin University, Changchun, China","institution_ids":["https://openalex.org/I194450716","https://openalex.org/I4210134929"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041210883","display_name":"Hui Kang","orcid":"https://orcid.org/0000-0002-1077-1322"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Kang","raw_affiliation_strings":["College of Computer Science and Technology, Jilin University, Changchun, China"],"raw_orcid":"https://orcid.org/0000-0002-1077-1322","affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Jilin University, Changchun, China","institution_ids":["https://openalex.org/I194450716","https://openalex.org/I4210134929"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104102193","display_name":"Aimin Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Aimin Wang","raw_affiliation_strings":["College of Computer Science and Technology, Jilin University, Changchun, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Jilin University, Changchun, China","institution_ids":["https://openalex.org/I194450716","https://openalex.org/I4210134929"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089360699","display_name":"Shuang Liang","orcid":"https://orcid.org/0000-0001-7651-505X"},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuang Liang","raw_affiliation_strings":["School of Information Science and Technology, Northeast Normal University, Changchun, China"],"raw_orcid":"https://orcid.org/0000-0001-7651-505X","affiliations":[{"raw_affiliation_string":"School of Information Science and Technology, Northeast Normal University, Changchun, China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020068277","display_name":"Yanheng Liu","orcid":"https://orcid.org/0000-0001-9826-5266"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]},{"id":"https://openalex.org/I4210134929","display_name":"Jilin Province Science and Technology Department","ror":"https://ror.org/049x38272","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210134929"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanheng Liu","raw_affiliation_strings":["College of Computer Science and Technology, Jilin University, Changchun, China"],"raw_orcid":"https://orcid.org/0000-0001-9826-5266","affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Jilin University, Changchun, China","institution_ids":["https://openalex.org/I194450716","https://openalex.org/I4210134929"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100386001","display_name":"Ying Zhang","orcid":"https://orcid.org/0000-0001-5246-2141"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ying Zhang","raw_affiliation_strings":["School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA"],"raw_orcid":"https://orcid.org/0000-0001-5246-2141","affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":35.2745,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.99696052,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"31","issue":"4","first_page":"1902","last_page":"1917"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11133","display_name":"UAV Applications and Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11133","display_name":"UAV Applications and Optimization","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11946","display_name":"Antenna Design and Optimization","score":0.9707000255584717,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9567000269889832,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/computer-science","display_name":"Computer science","score":0.7390615940093994},{"id":"https://openalex.org/keywords/beamforming","display_name":"Beamforming","score":0.7014341354370117},{"id":"https://openalex.org/keywords/physical-layer","display_name":"Physical layer","score":0.6014408469200134},{"id":"https://openalex.org/keywords/artificial-noise","display_name":"Artificial noise","score":0.5654672384262085},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.5333962440490723},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.5266808271408081},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.48345574736595154},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.4558213949203491},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.45246243476867676},{"id":"https://openalex.org/keywords/energy-consumption","display_name":"Energy consumption","score":0.4201016426086426},{"id":"https://openalex.org/keywords/secure-communication","display_name":"Secure communication","score":0.41194599866867065},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.4020428955554962},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.36167579889297485},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33775794506073},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21582475304603577},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.19019758701324463},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.12771272659301758},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12554135918617249},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.09822145104408264},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.09175670146942139}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7390615940093994},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.7014341354370117},{"id":"https://openalex.org/C19247436","wikidata":"https://www.wikidata.org/wiki/Q192727","display_name":"Physical layer","level":3,"score":0.6014408469200134},{"id":"https://openalex.org/C2780909371","wikidata":"https://www.wikidata.org/wiki/Q4801092","display_name":"Artificial noise","level":4,"score":0.5654672384262085},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.5333962440490723},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.5266808271408081},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.48345574736595154},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.4558213949203491},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.45246243476867676},{"id":"https://openalex.org/C2780165032","wikidata":"https://www.wikidata.org/wiki/Q16869822","display_name":"Energy consumption","level":2,"score":0.4201016426086426},{"id":"https://openalex.org/C510870077","wikidata":"https://www.wikidata.org/wiki/Q7444868","display_name":"Secure communication","level":3,"score":0.41194599866867065},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4020428955554962},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.36167579889297485},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33775794506073},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21582475304603577},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.19019758701324463},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.12771272659301758},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12554135918617249},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09822145104408264},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.09175670146942139},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tnet.2023.3234324","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnet.2023.3234324","pdf_url":null,"source":{"id":"https://openalex.org/S62238642","display_name":"IEEE/ACM Transactions on Networking","issn_l":"1063-6692","issn":["1063-6692","1558-2566"],"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/ACM Transactions on Networking","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8999999761581421,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1379194894","display_name":null,"funder_award_id":"2022028","funder_id":"https://openalex.org/F4320322300","funder_display_name":"Jilin University"},{"id":"https://openalex.org/G2150833449","display_name":null,"funder_award_id":"2022155","funder_id":"https://openalex.org/F4320322300","funder_display_name":"Jilin University"},{"id":"https://openalex.org/G4762983510","display_name":"\u667a\u80fd\u7f51\u8054\u6c7d\u8f66\u8f68\u8ff9\u89c4\u5212\u4e0e\u901a\u4fe1\u534f\u4f5c\u7684\u8054\u5408\u4f18\u5316\u7406\u8bba\u4e0e\u5173\u952e\u6280\u672f\u7814\u7a76","funder_award_id":"61872158","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6464733988","display_name":null,"funder_award_id":"62272194","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7129261606","display_name":null,"funder_award_id":"62002133","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8243988991","display_name":null,"funder_award_id":"62172186","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322300","display_name":"Jilin University","ror":"https://ror.org/00js3aw79"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W414544266","https://openalex.org/W1831950995","https://openalex.org/W2056811412","https://openalex.org/W2114863568","https://openalex.org/W2134692009","https://openalex.org/W2150010995","https://openalex.org/W2206930994","https://openalex.org/W2528788999","https://openalex.org/W2901610845","https://openalex.org/W2904947504","https://openalex.org/W2914952404","https://openalex.org/W2932447352","https://openalex.org/W2962691117","https://openalex.org/W2963117265","https://openalex.org/W2963569053","https://openalex.org/W2963697941","https://openalex.org/W2964023906","https://openalex.org/W2964135632","https://openalex.org/W2981262799","https://openalex.org/W2985849463","https://openalex.org/W2987093331","https://openalex.org/W2990619686","https://openalex.org/W2991627768","https://openalex.org/W2994008524","https://openalex.org/W2994270777","https://openalex.org/W3001321893","https://openalex.org/W3007850734","https://openalex.org/W3010052185","https://openalex.org/W3010763570","https://openalex.org/W3011448248","https://openalex.org/W3019060914","https://openalex.org/W3019243035","https://openalex.org/W3021695453","https://openalex.org/W3029808435","https://openalex.org/W3048217314","https://openalex.org/W3048445855","https://openalex.org/W3089141200","https://openalex.org/W3094603038","https://openalex.org/W3097185672","https://openalex.org/W3144122738","https://openalex.org/W3156109555","https://openalex.org/W3157791915","https://openalex.org/W3161304424","https://openalex.org/W3193428479","https://openalex.org/W3211340978","https://openalex.org/W3214036565","https://openalex.org/W4226195265","https://openalex.org/W4226301176"],"related_works":["https://openalex.org/W3159852908","https://openalex.org/W2994678687","https://openalex.org/W4390240227","https://openalex.org/W3036307543","https://openalex.org/W2766792752","https://openalex.org/W2290997318","https://openalex.org/W4237311310","https://openalex.org/W4256489728","https://openalex.org/W2478698443","https://openalex.org/W2041235917"],"abstract_inverted_index":{"Unmanned":[0],"aerial":[1],"vehicle":[2],"(UAV)":[3],"communications":[4,48],"and":[5,38,58,121,133,139,151,168,174,195,205,213],"networks":[6,108],"are":[7,211],"promising":[8],"technologies":[9],"in":[10],"the":[11,45,56,62,70,112,131,140,149,154,180,186,192],"forthcoming":[12],"5G/6G":[13],"wireless":[14],"communications.":[15,23],"However,":[16,87],"they":[17],"have":[18],"challenges":[19],"for":[20,83],"realizing":[21],"secure":[22,47,68,100],"In":[24],"this":[25,88],"paper,":[26],"we":[27,157],"consider":[28],"to":[29,43,55,75,90,109,148,178],"construct":[30],"a":[31,66,97,175],"virtual":[32],"antenna":[33],"array":[34],"consists":[35],"UAV":[36,46,71,107],"elements":[37,72],"use":[39],"collaborative":[40],"beamforming":[41],"(CB)":[42],"achieve":[44,65],"with":[49,78,144,164],"different":[50,145],"base":[51],"stations":[52],"(BSs),":[53],"subject":[54],"known":[57],"unknown":[59],"eavesdroppers":[60],"on":[61],"ground.":[63],"To":[64],"better":[67,198],"performance,":[69],"can":[73,189],"fly":[74],"optimal":[76,79],"positions":[77,132],"excitation":[80,134],"current":[81,135],"weights":[82,136],"performing":[84],"CB":[85],"transmissions.":[86],"leads":[89],"extra":[91],"motion":[92,123],"energy":[93,124],"consumption.":[94],"We":[95],"formulate":[96],"physical":[98],"layer":[99],"communication":[101],"multi-objective":[102,161],"optimization":[103],"problem":[104],"(MOP)":[105],"of":[106,126,137,142,153],"simultaneously":[110],"improve":[111],"total":[113,116,122],"secrecy":[114],"rates,":[115],"maximum":[117],"sidelobe":[118],"level":[119],"(SLL)":[120],"consumption":[125],"UAVs":[127],"by":[128],"jointly":[129],"optimizing":[130],"UAVs,":[138],"order":[141],"communicating":[143],"BSs.":[146],"Due":[147],"complexity":[150],"NP-hardness":[152],"formulated":[155,193],"MOP,":[156],"propose":[158],"an":[159],"improved":[160],"dragonfly":[162],"algorithm":[163],"chaotic":[165],"solution":[166,170],"initialization":[167],"hybrid":[169],"update":[171],"operators":[172],"(IMODACH)":[173],"parallel-IMODACH":[176],"(P-IMODACH)":[177],"solve":[179,191],"problem.":[181],"Simulation":[182],"results":[183],"verify":[184],"that":[185],"proposed":[187],"approaches":[188],"effectively":[190],"MOP":[194],"it":[196],"has":[197],"performance":[199],"than":[200],"some":[201,208],"other":[202],"benchmark":[203],"algorithms":[204],"approaches.":[206],"Moreover,":[207],"unexpected":[209],"circumstances":[210],"considered":[212],"discussed.":[214]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":19},{"year":2024,"cited_by_count":24},{"year":2023,"cited_by_count":6}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}