{"id":"https://openalex.org/W2948692205","doi":"https://doi.org/10.1109/tcomm.2019.2921022","title":"Joint Power and Bandwidth Allocation for Energy-Efficient Heterogeneous Cellular Networks","display_name":"Joint Power and Bandwidth Allocation for Energy-Efficient Heterogeneous Cellular Networks","publication_year":2019,"publication_date":"2019-06-05","ids":{"openalex":"https://openalex.org/W2948692205","doi":"https://doi.org/10.1109/tcomm.2019.2921022","mag":"2948692205"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2019.2921022","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2019.2921022","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 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/A5043781626","display_name":"Yuhan Jiang","orcid":"https://orcid.org/0000-0003-3398-1282"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuhan Jiang","raw_affiliation_strings":["School of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-3398-1282","affiliations":[{"raw_affiliation_string":"School of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090513264","display_name":"Yulong Zou","orcid":"https://orcid.org/0000-0002-8461-5306"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yulong Zou","raw_affiliation_strings":["School of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-8461-5306","affiliations":[{"raw_affiliation_string":"School of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050626966","display_name":"Haiyan Guo","orcid":"https://orcid.org/0000-0002-6198-1864"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiyan Guo","raw_affiliation_strings":["School of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-6198-1864","affiliations":[{"raw_affiliation_string":"School of Telecommunications and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020442416","display_name":"Theodoros A. Tsiftsis","orcid":"https://orcid.org/0000-0002-4856-3932"},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Theodoros A. Tsiftsis","raw_affiliation_strings":["School of Intelligent Systems Science and Engineering, Jinan University, Zhuhai, China"],"raw_orcid":"https://orcid.org/0000-0002-4856-3932","affiliations":[{"raw_affiliation_string":"School of Intelligent Systems Science and Engineering, Jinan University, Zhuhai, China","institution_ids":["https://openalex.org/I159948400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035838103","display_name":"Manav R. Bhatnagar","orcid":"https://orcid.org/0000-0003-0612-594X"},"institutions":[{"id":"https://openalex.org/I68891433","display_name":"Indian Institute of Technology Delhi","ror":"https://ror.org/049tgcd06","country_code":"IN","type":"education","lineage":["https://openalex.org/I68891433"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Manav R. Bhatnagar","raw_affiliation_strings":["IIT Delhi, New Delhi, India"],"raw_orcid":"https://orcid.org/0000-0003-0612-594X","affiliations":[{"raw_affiliation_string":"IIT Delhi, New Delhi, India","institution_ids":["https://openalex.org/I68891433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049028312","display_name":"Rodrigo C. de Lamare","orcid":"https://orcid.org/0000-0003-2322-6451"},"institutions":[{"id":"https://openalex.org/I2699952","display_name":"Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro","ror":"https://ror.org/01dg47b60","country_code":"BR","type":"education","lineage":["https://openalex.org/I2699952"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Rodrigo C. de Lamare","raw_affiliation_strings":["Pontifical Catholic University of Rio de Janeiro, Rio de Janeiro, Brazil"],"raw_orcid":"https://orcid.org/0000-0003-2322-6451","affiliations":[{"raw_affiliation_string":"Pontifical Catholic University of Rio de Janeiro, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I2699952"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021827481","display_name":"Yudong Yao","orcid":"https://orcid.org/0000-0003-3868-0593"},"institutions":[{"id":"https://openalex.org/I108468826","display_name":"Stevens Institute of Technology","ror":"https://ror.org/02z43xh36","country_code":"US","type":"education","lineage":["https://openalex.org/I108468826"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yu-Dong Yao","raw_affiliation_strings":["Stevens Institute of Technology, Hoboken, NJ, USA"],"raw_orcid":"https://orcid.org/0000-0003-3868-0593","affiliations":[{"raw_affiliation_string":"Stevens Institute of Technology, Hoboken, NJ, USA","institution_ids":["https://openalex.org/I108468826"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.1374,"has_fulltext":false,"cited_by_count":59,"citation_normalized_percentile":{"value":0.96120732,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"67","issue":"9","first_page":"6168","last_page":"6178"},"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":0.9997000098228455,"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":0.9994000196456909,"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/computer-science","display_name":"Computer science","score":0.6886972188949585},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6676857471466064},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.6023265719413757},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.5616858601570129},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.5540991425514221},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5483910441398621},{"id":"https://openalex.org/keywords/cellular-network","display_name":"Cellular network","score":0.5105606317520142},{"id":"https://openalex.org/keywords/lagrange-multiplier","display_name":"Lagrange multiplier","score":0.48933500051498413},{"id":"https://openalex.org/keywords/bandwidth-allocation","display_name":"Bandwidth allocation","score":0.4838194251060486},{"id":"https://openalex.org/keywords/macro","display_name":"Macro","score":0.4703747630119324},{"id":"https://openalex.org/keywords/efficient-energy-use","display_name":"Efficient energy use","score":0.44893205165863037},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.4296441376209259},{"id":"https://openalex.org/keywords/quality-of-service","display_name":"Quality of service","score":0.4111023545265198},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.2380003035068512},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22423043847084045},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18443578481674194},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0916127860546112},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.08580267429351807}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6886972188949585},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6676857471466064},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.6023265719413757},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.5616858601570129},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.5540991425514221},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5483910441398621},{"id":"https://openalex.org/C153646914","wikidata":"https://www.wikidata.org/wiki/Q535695","display_name":"Cellular network","level":2,"score":0.5105606317520142},{"id":"https://openalex.org/C73684929","wikidata":"https://www.wikidata.org/wiki/Q598870","display_name":"Lagrange multiplier","level":2,"score":0.48933500051498413},{"id":"https://openalex.org/C200157131","wikidata":"https://www.wikidata.org/wiki/Q4854763","display_name":"Bandwidth allocation","level":3,"score":0.4838194251060486},{"id":"https://openalex.org/C166955791","wikidata":"https://www.wikidata.org/wiki/Q629579","display_name":"Macro","level":2,"score":0.4703747630119324},{"id":"https://openalex.org/C2742236","wikidata":"https://www.wikidata.org/wiki/Q924713","display_name":"Efficient energy use","level":2,"score":0.44893205165863037},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.4296441376209259},{"id":"https://openalex.org/C5119721","wikidata":"https://www.wikidata.org/wiki/Q220501","display_name":"Quality of service","level":2,"score":0.4111023545265198},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.2380003035068512},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22423043847084045},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18443578481674194},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0916127860546112},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.08580267429351807},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcomm.2019.2921022","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2019.2921022","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8999999761581421,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1092477833","display_name":null,"funder_award_id":"BK20171446","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G2252439329","display_name":null,"funder_award_id":"BK20150040","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"},{"id":"https://openalex.org/G381434843","display_name":"\u5e7f\u57df\u52a8\u6001\u9891\u8c31\u6001\u52bf\u57fa\u7840\u7406\u8bba\u4e0e\u5173\u952e\u6280\u672f\u7814\u7a76","funder_award_id":"61631020","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4906116743","display_name":null,"funder_award_id":"91738201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7877612717","display_name":"\u57fa\u4e8e\u7a00\u758f\u4f4e\u79e9\u5206\u89e3\u7684\u9ad8\u6548\u89c6\u9891\u4f20\u8f93\u6280\u672f\u7814\u7a76","funder_award_id":"61671253","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8041531263","display_name":null,"funder_award_id":"61522109","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/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1511263746","https://openalex.org/W1669104078","https://openalex.org/W1978139612","https://openalex.org/W1982777608","https://openalex.org/W1996215314","https://openalex.org/W2021299859","https://openalex.org/W2063783961","https://openalex.org/W2091502075","https://openalex.org/W2129265278","https://openalex.org/W2226740399","https://openalex.org/W2293116463","https://openalex.org/W2294547139","https://openalex.org/W2324409187","https://openalex.org/W2325504487","https://openalex.org/W2342858044","https://openalex.org/W2345418072","https://openalex.org/W2399530416","https://openalex.org/W2588149931","https://openalex.org/W2597975502","https://openalex.org/W2614764375","https://openalex.org/W2765285178","https://openalex.org/W2766107461","https://openalex.org/W2766566067","https://openalex.org/W2769089345","https://openalex.org/W2783018893","https://openalex.org/W2789350272","https://openalex.org/W2789574850","https://openalex.org/W2792088344","https://openalex.org/W2793638454","https://openalex.org/W2806882059","https://openalex.org/W2808653791","https://openalex.org/W2896666427","https://openalex.org/W2909691491","https://openalex.org/W2963341937","https://openalex.org/W2963464412","https://openalex.org/W2963694099","https://openalex.org/W2963718307"],"related_works":["https://openalex.org/W1600454385","https://openalex.org/W1664289808","https://openalex.org/W2573375498","https://openalex.org/W2613438926","https://openalex.org/W2042713734","https://openalex.org/W2100372817","https://openalex.org/W2601879519","https://openalex.org/W2538238406","https://openalex.org/W2337021323","https://openalex.org/W2503511264"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,11,62,66,74,82,97,108,115,130,141,150,160,166],"problem":[4,92,100],"of":[5,34,64,70,76,133,175],"energy":[6,67],"efficiency":[7,68],"maximization":[8],"(EEM)":[9],"for":[10,61,81],"small":[12,35,45,71],"cells":[13,72],"that":[14,86,140,159],"coexist":[15],"with":[16],"a":[17,27,32,41,53,77,121],"macro":[18,28,42,83],"cell":[19],"in":[20,173],"an":[21,102],"underlay":[22],"heterogeneous":[23],"cellular":[24],"network,":[25],"where":[26],"base":[29,36],"station":[30],"and":[31,44,56,169],"number":[33],"stations":[37],"transmit":[38],"signals":[39],"to":[40,128,149],"user":[43],"users":[46],"through":[47,114],"their":[48,176],"shared":[49],"spectrum.":[50],"We":[51],"propose":[52],"joint":[54],"power":[55,168],"bandwidth":[57,170],"allocation":[58,171],"(JPBA)":[59],"scheme":[60,163],"sake":[63],"maximizing":[65],"(EE)":[69],"under":[73],"constraint":[75],"guaranteed":[78],"quality-of-service":[79],"requirement":[80],"cell.":[84],"Considering":[85],"our":[87,134],"formulated":[88],"EEM-based":[89],"JPBA":[90],"(EEM-JPBA)":[91],"is":[93,112,126,157],"non-convex,":[94],"we":[95],"convert":[96],"original":[98],"fractional":[99],"into":[101],"equivalent":[103],"subtractive":[104],"form":[105],"by":[106],"adopting":[107],"Dinkelbach's":[109],"method,":[110],"which":[111],"addressed":[113],"augmented":[116],"Lagrange":[117],"multiplier":[118],"approach.":[119],"Moreover,":[120],"new":[122],"two-tier":[123,143],"iterative":[124,144],"algorithm":[125,145],"presented":[127],"obtain":[129],"optimal":[131,151],"solution":[132],"EEM-JPBA":[135,162],"scheme.":[136],"Simulation":[137],"results":[138],"demonstrate":[139],"proposed":[142,161],"can":[146],"quickly":[147],"converge":[148],"EE":[152,177],"solution.":[153],"In":[154],"addition,":[155],"it":[156],"shown":[158],"significantly":[164],"outperforms":[165],"conventional":[167],"methods":[172],"terms":[174],"performance.":[178]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":11}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}