{"id":"https://openalex.org/W2513356504","doi":"https://doi.org/10.1109/tvt.2015.2472995","title":"Energy-Efficient Joint Resource Allocation and Power Control for D2D Communications","display_name":"Energy-Efficient Joint Resource Allocation and Power Control for D2D Communications","publication_year":2015,"publication_date":"2015-08-25","ids":{"openalex":"https://openalex.org/W2513356504","doi":"https://doi.org/10.1109/tvt.2015.2472995","mag":"2513356504"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2015.2472995","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2015.2472995","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/A5014004455","display_name":"Yanxiang Jiang","orcid":"https://orcid.org/0000-0001-8062-7767"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yanxiang Jiang","raw_affiliation_strings":["National Mobile Communications Research Laboratory, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100409511","display_name":"Qiang Liu","orcid":"https://orcid.org/0000-0002-9768-4335"},"institutions":[{"id":"https://openalex.org/I180662265","display_name":"China Mobile (China)","ror":"https://ror.org/05gftfe97","country_code":"CN","type":"company","lineage":["https://openalex.org/I180662265"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Liu","raw_affiliation_strings":["China Mobile Communications Group Hebei Company Ltd., Tangshan, China"],"affiliations":[{"raw_affiliation_string":"China Mobile Communications Group Hebei Company Ltd., Tangshan, China","institution_ids":["https://openalex.org/I180662265"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016793245","display_name":"Fu\u2010Chun Zheng","orcid":"https://orcid.org/0000-0003-3184-3054"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fuchun Zheng","raw_affiliation_strings":["School of Systems Engineering, University of Reading, Reading, U.K"],"affiliations":[{"raw_affiliation_string":"School of Systems Engineering, University of Reading, Reading, U.K","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050692023","display_name":"Xiqi Gao","orcid":"https://orcid.org/0000-0001-9107-6593"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiqi Gao","raw_affiliation_strings":["National Mobile Communications Research Laboratory, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072916702","display_name":"Xiaohu You","orcid":"https://orcid.org/0000-0002-0809-8511"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaohu You","raw_affiliation_strings":["National Mobile Communications Research Laboratory, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5014004455"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":14.8135,"has_fulltext":false,"cited_by_count":246,"citation_normalized_percentile":{"value":0.99231098,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"65","issue":"8","first_page":"6119","last_page":"6127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","score":1.0,"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":1.0,"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":0.9998000264167786,"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":0.9988999962806702,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7866724729537964},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.6968763470649719},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.6746676564216614},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.615166187286377},{"id":"https://openalex.org/keywords/power-control","display_name":"Power control","score":0.6094751358032227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5876692533493042},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.5254206657409668},{"id":"https://openalex.org/keywords/fractional-programming","display_name":"Fractional programming","score":0.5104857683181763},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4683847725391388},{"id":"https://openalex.org/keywords/decoupling","display_name":"Decoupling (probability)","score":0.42100265622138977},{"id":"https://openalex.org/keywords/efficient-energy-use","display_name":"Efficient energy use","score":0.4207427501678467},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3882243037223816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2285468578338623},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.1530078947544098},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1521683931350708},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.15196695923805237},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.06791725754737854}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7866724729537964},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.6968763470649719},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.6746676564216614},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.615166187286377},{"id":"https://openalex.org/C56685638","wikidata":"https://www.wikidata.org/wiki/Q2300474","display_name":"Power control","level":3,"score":0.6094751358032227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5876692533493042},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.5254206657409668},{"id":"https://openalex.org/C169069869","wikidata":"https://www.wikidata.org/wiki/Q5477546","display_name":"Fractional programming","level":4,"score":0.5104857683181763},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4683847725391388},{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.42100265622138977},{"id":"https://openalex.org/C2742236","wikidata":"https://www.wikidata.org/wiki/Q924713","display_name":"Efficient energy use","level":2,"score":0.4207427501678467},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3882243037223816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2285468578338623},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.1530078947544098},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1521683931350708},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.15196695923805237},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.06791725754737854},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2015.2472995","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2015.2472995","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":[],"awards":[{"id":"https://openalex.org/G2367944227","display_name":null,"funder_award_id":"2012CB316004","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G3900943056","display_name":null,"funder_award_id":"61221002","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/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W4545112","https://openalex.org/W1967956032","https://openalex.org/W1973450857","https://openalex.org/W1973858398","https://openalex.org/W1975186862","https://openalex.org/W2024934110","https://openalex.org/W2026634333","https://openalex.org/W2031260290","https://openalex.org/W2044179863","https://openalex.org/W2045954096","https://openalex.org/W2066106876","https://openalex.org/W2079334758","https://openalex.org/W2084208304","https://openalex.org/W2091502075","https://openalex.org/W2100372817","https://openalex.org/W2119851269","https://openalex.org/W2122937794","https://openalex.org/W2135794028","https://openalex.org/W2138580126","https://openalex.org/W2140502378","https://openalex.org/W2140656373","https://openalex.org/W2165698610","https://openalex.org/W2259597866","https://openalex.org/W3098552807","https://openalex.org/W3103715413","https://openalex.org/W6643523712"],"related_works":["https://openalex.org/W4313561376","https://openalex.org/W3103825105","https://openalex.org/W3027880158","https://openalex.org/W3207533102","https://openalex.org/W103185312","https://openalex.org/W4236268295","https://openalex.org/W2110326814","https://openalex.org/W2102565312","https://openalex.org/W3001732529","https://openalex.org/W2146439229"],"abstract_inverted_index":{"In":[0,71,123,153],"this":[1],"paper,":[2],"joint":[3,113],"resource":[4,20,63,114,200],"allocation":[5,64,115,169,201],"and":[6,21,65,116,202],"power":[7,22,66,117,129,203],"control":[8,67,118,204],"for":[9,25],"energy-efficient":[10],"device-to-device":[11],"(D2D)":[12],"communications":[13],"underlaying":[14],"cellular":[15,150],"networks":[16],"are":[17,23,83,131],"investigated.":[18],"The":[19],"optimized":[24],"maximization":[26,138],"of":[27,32,38,75,78,112,137,149,193],"the":[28,36,43,76,79,87,101,108,124,127,147,154,157,188,197],"energy":[29],"efficiency":[30],"(EE)":[31],"D2D":[33],"communications.":[34],"Exploiting":[35],"properties":[37],"fractional":[39,49],"programming,":[40],"we":[41],"transform":[42],"original":[44],"nonconvex":[45],"optimization":[46,54,81,110,159],"problem":[47,55,82,111,160,166],"in":[48,56,191],"form":[50],"into":[51,119],"an":[52,60],"equivalent":[53],"subtractive":[57],"form.":[58],"Then,":[59],"efficient":[61],"iterative":[62,199],"scheme":[68],"is":[69],"proposed.":[70],"each":[72,104],"iteration,":[73],"part":[74],"constraints":[77],"EE":[80,109,194],"removed":[84],"by":[85,106,133,195],"exploiting":[86],"penalty":[88],"function":[89],"approach.":[90],"We":[91],"further":[92],"propose":[93],"a":[94,135,163,173],"novel":[95],"two-layer":[96],"approach,":[97],"which":[98,171],"allows":[99],"finding":[100],"optimum":[102],"at":[103],"iteration":[105],"decoupling":[107],"two":[120],"separate":[121],"steps.":[122],"first":[125],"layer,":[126,156],"optimal":[128],"values":[130],"obtained":[132],"solving":[134],"series":[136],"problems":[139],"through":[140],"root":[141],"finding,":[142],"with":[143,167],"or":[144],"without":[145],"considering":[146],"loss":[148],"users'":[151],"rates.":[152],"second":[155],"formulated":[158],"belongs":[161],"to":[162,183],"classical":[164],"resource-allocation":[165],"single":[168],"format,":[170],"admits":[172],"network":[174],"flow":[175],"formulation":[176],"so":[177],"that":[178],"it":[179],"can":[180],"be":[181],"solved":[182],"optimality.":[184],"Simulation":[185],"results":[186],"demonstrate":[187],"remarkable":[189],"improvements":[190],"terms":[192],"using":[196],"proposed":[198],"scheme.":[205]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":15},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":35},{"year":2021,"cited_by_count":26},{"year":2020,"cited_by_count":37},{"year":2019,"cited_by_count":42},{"year":2018,"cited_by_count":34},{"year":2017,"cited_by_count":26},{"year":2016,"cited_by_count":14}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}