{"id":"https://openalex.org/W2557881857","doi":"https://doi.org/10.1109/twc.2016.2634536","title":"Iterative Multi-Level Soft Frequency Reuse With Load Balancing for Heterogeneous LTE-A Systems","display_name":"Iterative Multi-Level Soft Frequency Reuse With Load Balancing for Heterogeneous LTE-A Systems","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2557881857","doi":"https://doi.org/10.1109/twc.2016.2634536","mag":"2557881857"},"language":"en","primary_location":{"id":"doi:10.1109/twc.2016.2634536","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2016.2634536","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","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/A5008407740","display_name":"Giovanni Giambene","orcid":"https://orcid.org/0000-0002-5756-4603"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR","IT"],"is_corresponding":false,"raw_author_name":"Giovanni Giambene","raw_affiliation_strings":["Department of Information Engineering and Mathematical Sciences, University of Siena, Siena, Italy","Department of Information engineering and mathematics [Siena]","Centre National de la Recherche Scientifique","R\u00e9seaux, Syst\u00e8mes, Services, S\u00e9curit\u00e9"],"raw_orcid":"https://orcid.org/0000-0002-5756-4603","affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematical Sciences, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Department of Information engineering and mathematics [Siena]","institution_ids":[]},{"raw_affiliation_string":"Centre National de la Recherche Scientifique","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"R\u00e9seaux, Syst\u00e8mes, Services, S\u00e9curit\u00e9","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086071414","display_name":"Van Anh Le","orcid":"https://orcid.org/0000-0001-8592-3135"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Van Anh Le","raw_affiliation_strings":["Department of Information Engineering and Mathematical Sciences, University of Siena, Siena, Italy","Department of Information engineering and mathematics [Siena]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering and Mathematical Sciences, University of Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]},{"raw_affiliation_string":"Department of Information engineering and mathematics [Siena]","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043502736","display_name":"Thomas Bourgeau","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I205703379","display_name":"Institut Mines-T\u00e9l\u00e9com","ror":"https://ror.org/025vp2923","country_code":"FR","type":"facility","lineage":["https://openalex.org/I205703379"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thomas Bourgeau","raw_affiliation_strings":["T\u00e9l\u00e9com Sud Paris, Institut T\u00e9l\u00e9com, Evry, France","Centre National de la Recherche Scientifique","Services r\u00e9partis, Architectures, MOd\u00e9lisation, Validation, Administration des R\u00e9seaux","D\u00e9partement R\u00e9seaux et Services Multim\u00e9dia Mobiles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"T\u00e9l\u00e9com Sud Paris, Institut T\u00e9l\u00e9com, Evry, France","institution_ids":["https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"raw_affiliation_string":"Centre National de la Recherche Scientifique","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Services r\u00e9partis, Architectures, MOd\u00e9lisation, Validation, Administration des R\u00e9seaux","institution_ids":[]},{"raw_affiliation_string":"D\u00e9partement R\u00e9seaux et Services Multim\u00e9dia Mobiles","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113619152","display_name":"Hakima Chaouchi","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I205703379","display_name":"Institut Mines-T\u00e9l\u00e9com","ror":"https://ror.org/025vp2923","country_code":"FR","type":"facility","lineage":["https://openalex.org/I205703379"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Hakima Chaouchi","raw_affiliation_strings":["T\u00e9l\u00e9com Sud Paris, Institut T\u00e9l\u00e9com, Evry, France","Centre National de la Recherche Scientifique","Services r\u00e9partis, Architectures, MOd\u00e9lisation, Validation, Administration des R\u00e9seaux","R\u00e9seaux, Syst\u00e8mes, Services, S\u00e9curit\u00e9","D\u00e9partement R\u00e9seaux et Services Multim\u00e9dia Mobiles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"T\u00e9l\u00e9com Sud Paris, Institut T\u00e9l\u00e9com, Evry, France","institution_ids":["https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"raw_affiliation_string":"Centre National de la Recherche Scientifique","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Services r\u00e9partis, Architectures, MOd\u00e9lisation, Validation, Administration des R\u00e9seaux","institution_ids":[]},{"raw_affiliation_string":"R\u00e9seaux, Syst\u00e8mes, Services, S\u00e9curit\u00e9","institution_ids":[]},{"raw_affiliation_string":"D\u00e9partement R\u00e9seaux et Services Multim\u00e9dia Mobiles","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3194,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.81956837,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"16","issue":"2","first_page":"924","last_page":"938"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9993000030517578,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9944000244140625,"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":0.7709952592849731},{"id":"https://openalex.org/keywords/frequency-reuse","display_name":"Frequency reuse","score":0.6106867790222168},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4830968379974365},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.4716604948043823},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4228595495223999},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3600815534591675},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.22041535377502441},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.19468745589256287},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1733907163143158},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.09885150194168091},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.08695262670516968}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7709952592849731},{"id":"https://openalex.org/C2985367402","wikidata":"https://www.wikidata.org/wiki/Q535695","display_name":"Frequency reuse","level":3,"score":0.6106867790222168},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4830968379974365},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.4716604948043823},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4228595495223999},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3600815534591675},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.22041535377502441},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.19468745589256287},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1733907163143158},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.09885150194168091},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.08695262670516968},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/twc.2016.2634536","is_oa":false,"landing_page_url":"https://doi.org/10.1109/twc.2016.2634536","pdf_url":null,"source":{"id":"https://openalex.org/S63459445","display_name":"IEEE Transactions on Wireless Communications","issn_l":"1536-1276","issn":["1536-1276","1558-2248"],"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 Wireless Communications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01646347v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01646347","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Wireless Communications, 2017, 16 (2), pp.924 - 938. ⟨10.1109/TWC.2016.2634536⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:usiena-air.unisi.it:11365/1002925","is_oa":false,"landing_page_url":"http://hdl.handle.net/11365/1002925","pdf_url":null,"source":{"id":"https://openalex.org/S4377196319","display_name":"Use Siena air (University of Siena)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102064193","host_organization_name":"University of Siena","host_organization_lineage":["https://openalex.org/I102064193"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320313975","display_name":"Universit\u00e0 degli Studi di Siena","ror":"https://ror.org/01tevnk56"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W174303507","https://openalex.org/W1507039213","https://openalex.org/W1555421635","https://openalex.org/W1632601927","https://openalex.org/W1993917726","https://openalex.org/W1994534328","https://openalex.org/W2010630450","https://openalex.org/W2019410477","https://openalex.org/W2023426295","https://openalex.org/W2034420299","https://openalex.org/W2059100178","https://openalex.org/W2065905494","https://openalex.org/W2084099189","https://openalex.org/W2101121986","https://openalex.org/W2102007659","https://openalex.org/W2119792344","https://openalex.org/W2121938884","https://openalex.org/W2136530738","https://openalex.org/W2158231283","https://openalex.org/W2170300951","https://openalex.org/W2171048418","https://openalex.org/W2296319761","https://openalex.org/W2397976944","https://openalex.org/W3101445254","https://openalex.org/W3145128584","https://openalex.org/W4246219036","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W3217415483","https://openalex.org/W4285677055","https://openalex.org/W3104770499","https://openalex.org/W1992731528","https://openalex.org/W2007843488","https://openalex.org/W1994436307","https://openalex.org/W2795565301","https://openalex.org/W1987021796","https://openalex.org/W2156461085","https://openalex.org/W4387886124"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,62],"the":[4,14,25,34,71,76,120,131],"planning":[5],"of":[6,40,55,92,111],"two-layer":[7],"long-term":[8],"evolution-advanced":[9],"cellular":[10],"systems,":[11],"taking":[12],"both":[13],"co-tier":[15],"and":[16,48,59,115,119],"cross-tier":[17],"interference":[18],"into":[19,82],"account.":[20],"In":[21],"particular,":[22],"we":[23,97],"propose":[24,98],"novel":[26],"multi-level":[27],"soft":[28],"frequency":[29,46],"reuse":[30],"(MSFR)":[31],"scheme,":[32,74],"where":[33,75],"users":[35],"in":[36,65,109,130],"three":[37],"different":[38,49],"regions":[39],"a":[41,66,104],"macro/micro":[42],"cell":[43,60,113],"adopt":[44],"distinct":[45],"segments":[47],"transmission":[50],"power":[51,56],"levels.":[52],"The":[53],"optimization":[54,78,94],"control":[57],"parameters":[58],"association":[61],"MSFR":[63],"results":[64],"non-convex":[67],"problem.":[68],"We":[69],"present":[70],"iterative-MSFR":[72],"(I-MSFR)":[73],"main":[77],"problem":[79],"is":[80],"divided":[81],"two":[83,99],"sub-problems":[84],"that":[85,102],"can":[86],"be":[87],"subsequently":[88],"solved":[89],"by":[90],"means":[91],"classical":[93],"methods.":[95],"Finally,":[96],"simplified":[100,121],"schemes":[101,122,129],"achieve":[103],"comparable":[105],"performance":[106,126],"as":[107],"I-MSFR":[108,118],"terms":[110],"utility,":[112],"capacity,":[114],"outage":[116],"conditions.":[117],"have":[123],"shown":[124],"better":[125],"than":[127],"other":[128],"literature.":[132]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-25T09:21:30.201066","created_date":"2025-10-10T00:00:00"}