{"id":"https://openalex.org/W2979627472","doi":"https://doi.org/10.1109/tvt.2019.2946718","title":"Geometric Approach Based Resource Allocation in Heterogeneous Cellular Networks","display_name":"Geometric Approach Based Resource Allocation in Heterogeneous Cellular Networks","publication_year":2019,"publication_date":"2019-10-10","ids":{"openalex":"https://openalex.org/W2979627472","doi":"https://doi.org/10.1109/tvt.2019.2946718","mag":"2979627472"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2019.2946718","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2019.2946718","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","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/A5026001950","display_name":"Xiaoge Huang","orcid":"https://orcid.org/0000-0002-4559-9606"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoge Huang","raw_affiliation_strings":["School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0002-4559-9606","affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085380242","display_name":"She Tang","orcid":"https://orcid.org/0000-0002-9061-4238"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"She Tang","raw_affiliation_strings":["School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0002-9061-4238","affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100629131","display_name":"Dongyu Zhang","orcid":"https://orcid.org/0000-0001-7807-6564"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongyu Zhang","raw_affiliation_strings":["School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0001-7807-6564","affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084338675","display_name":"Qianbin Chen","orcid":"https://orcid.org/0000-0001-6868-6860"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianbin Chen","raw_affiliation_strings":["School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0001-6868-6860","affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100436731","display_name":"Jie Zhang","orcid":"https://orcid.org/0000-0002-3354-0690"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Zhang","raw_affiliation_strings":["School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0002-3354-0690","affiliations":[{"raw_affiliation_string":"School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8476,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.74779671,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"68","issue":"12","first_page":"11902","last_page":"11914"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9972000122070312,"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"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/femtocell","display_name":"Femtocell","score":0.8509289026260376},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7309552431106567},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6940548419952393},{"id":"https://openalex.org/keywords/efficient-energy-use","display_name":"Efficient energy use","score":0.6596276760101318},{"id":"https://openalex.org/keywords/heterogeneous-network","display_name":"Heterogeneous network","score":0.5908799171447754},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.5662761926651001},{"id":"https://openalex.org/keywords/energy-consumption","display_name":"Energy consumption","score":0.5616804361343384},{"id":"https://openalex.org/keywords/cellular-network","display_name":"Cellular network","score":0.5455966591835022},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.48657381534576416},{"id":"https://openalex.org/keywords/spectral-efficiency","display_name":"Spectral efficiency","score":0.4553970396518707},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.4511595666408539},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.44832390546798706},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.4116784930229187},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.39613479375839233},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1827588677406311},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.14910703897476196}],"concepts":[{"id":"https://openalex.org/C152504517","wikidata":"https://www.wikidata.org/wiki/Q572455","display_name":"Femtocell","level":3,"score":0.8509289026260376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7309552431106567},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6940548419952393},{"id":"https://openalex.org/C2742236","wikidata":"https://www.wikidata.org/wiki/Q924713","display_name":"Efficient energy use","level":2,"score":0.6596276760101318},{"id":"https://openalex.org/C158207573","wikidata":"https://www.wikidata.org/wiki/Q5747224","display_name":"Heterogeneous network","level":4,"score":0.5908799171447754},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.5662761926651001},{"id":"https://openalex.org/C2780165032","wikidata":"https://www.wikidata.org/wiki/Q16869822","display_name":"Energy consumption","level":2,"score":0.5616804361343384},{"id":"https://openalex.org/C153646914","wikidata":"https://www.wikidata.org/wiki/Q535695","display_name":"Cellular network","level":2,"score":0.5455966591835022},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.48657381534576416},{"id":"https://openalex.org/C137246740","wikidata":"https://www.wikidata.org/wiki/Q583970","display_name":"Spectral efficiency","level":3,"score":0.4553970396518707},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.4511595666408539},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.44832390546798706},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4116784930229187},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.39613479375839233},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1827588677406311},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.14910703897476196},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2019.2946718","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2019.2946718","pdf_url":null,"source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"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 Vehicular Technology","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8899999856948853,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G4351780340","display_name":null,"funder_award_id":"61831002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6174862837","display_name":null,"funder_award_id":"61401053","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1986606427","https://openalex.org/W1996325957","https://openalex.org/W2005108639","https://openalex.org/W2008783708","https://openalex.org/W2024741871","https://openalex.org/W2059973889","https://openalex.org/W2082347459","https://openalex.org/W2108864924","https://openalex.org/W2135010525","https://openalex.org/W2141696665","https://openalex.org/W2149170915","https://openalex.org/W2153059534","https://openalex.org/W2322958931","https://openalex.org/W2344636305","https://openalex.org/W2354287324","https://openalex.org/W2402293753","https://openalex.org/W2525885674","https://openalex.org/W2549475464","https://openalex.org/W2559951629","https://openalex.org/W2561076157","https://openalex.org/W2561131845","https://openalex.org/W2588592195","https://openalex.org/W2602558697","https://openalex.org/W2735395272","https://openalex.org/W2759070635","https://openalex.org/W2789350272","https://openalex.org/W2789656064","https://openalex.org/W2889247900","https://openalex.org/W2909894366","https://openalex.org/W3105072513","https://openalex.org/W4230573295","https://openalex.org/W4231061652"],"related_works":["https://openalex.org/W2014526469","https://openalex.org/W2325429773","https://openalex.org/W1979722674","https://openalex.org/W2786534237","https://openalex.org/W2052892589","https://openalex.org/W2153023023","https://openalex.org/W2137662009","https://openalex.org/W2727195659","https://openalex.org/W2583418925","https://openalex.org/W1987099914"],"abstract_inverted_index":{"Recently,":[0],"with":[1,133,182],"the":[2,8,37,45,50,60,88,92,118,134,146,154,158,168],"evolutionary":[3],"development":[4],"of":[5,12,40,53,95,177],"intelligent":[6],"devices,":[7],"rapid":[9],"increasing":[10,51],"demand":[11],"mobile":[13],"data":[14],"traffic":[15],"and":[16,43,64,76,91,125],"heavy":[17],"energy":[18,63,67,72,123,143,179],"consumption":[19],"in":[20,175,184],"wireless":[21],"networks":[22],"become":[23],"critical":[24],"problems.":[25],"Small":[26],"cell":[27],"network":[28,46,66,71,142,178],"is":[29,83,107],"considered":[30],"as":[31],"a":[32,74,100],"promising":[33],"solution":[34],"to":[35,116,153],"improve":[36,70,141],"communication":[38],"quality":[39],"user":[41,148],"equipments":[42,149],"increase":[44],"transmission":[47],"rate.":[48],"Nevertheless,":[49],"number":[52],"small":[54],"base":[55,111],"stations":[56,112],"could":[57,86,139,150,171],"extremely":[58],"consume":[59],"extra":[61],"electric":[62],"reduce":[65],"efficiency.":[68,144],"To":[69],"efficiency,":[73],"clustering":[75,105],"geometric":[77,126],"approach":[78,127],"based":[79,103,128],"power":[80,129],"allocation":[81,130],"algorithm":[82,106,131,170],"designed,":[84],"which":[85],"guarantee":[87],"loading":[89],"balance":[90],"outage":[93],"probability":[94],"heterogeneous":[96],"cellular":[97],"networks.":[98],"Initially,":[99],"semi-definite":[101],"programming":[102],"correlation":[104],"introduced":[108],"for":[109],"femtocell":[110],"(FBSs)":[113],"cluster":[114],"formation":[115],"eliminate":[117],"intra-layer":[119],"interference.":[120],"Moreover,":[121],"an":[122],"efficiency":[124,180],"combines":[132],"dynamic":[135],"FBSs":[136,156],"on/off":[137],"strategy":[138],"further":[140],"Thereby,":[145],"associated":[147],"be":[151],"transferred":[152],"intra-cluster":[155],"by":[157],"dual":[159],"connectivity":[160],"method.":[161],"Finally,":[162],"numerical":[163],"simulation":[164],"results":[165],"demonstrate":[166],"that":[167],"proposed":[169],"achieve":[172],"superior":[173],"performance":[174],"terms":[176],"compared":[181],"algorithms":[183],"literatures.":[185]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
