{"id":"https://openalex.org/W2174416479","doi":"https://doi.org/10.1109/tcomm.2015.2497239","title":"Downlink Power Control in Two-Tier Cellular Networks With Energy-Harvesting Small Cells as Stochastic Games","display_name":"Downlink Power Control in Two-Tier Cellular Networks With Energy-Harvesting Small Cells as Stochastic Games","publication_year":2015,"publication_date":"2015-11-03","ids":{"openalex":"https://openalex.org/W2174416479","doi":"https://doi.org/10.1109/tcomm.2015.2497239","mag":"2174416479"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2015.2497239","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2015.2497239","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1510.07932","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026039022","display_name":"Tran Kien Thuc","orcid":null},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Tran Kien Thuc","raw_affiliation_strings":["Department of Electrical and Computer Engineerng, University of Manitoba, Winnipeg, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineerng, University of Manitoba, Winnipeg, Canada","institution_ids":["https://openalex.org/I46247651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089270885","display_name":"Ekram Hossain","orcid":"https://orcid.org/0000-0002-5932-6887"},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ekram Hossain","raw_affiliation_strings":["Department of Electrical and Computer Engineerng, University of Manitoba, Winnipeg, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineerng, University of Manitoba, Winnipeg, Canada","institution_ids":["https://openalex.org/I46247651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039708717","display_name":"Hina Tabassum","orcid":"https://orcid.org/0000-0002-7379-6949"},"institutions":[{"id":"https://openalex.org/I46247651","display_name":"University of Manitoba","ror":"https://ror.org/02gfys938","country_code":"CA","type":"education","lineage":["https://openalex.org/I46247651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Hina Tabassum","raw_affiliation_strings":["Department of Electrical and Computer Engineerng, University of Manitoba, Winnipeg, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineerng, University of Manitoba, Winnipeg, Canada","institution_ids":["https://openalex.org/I46247651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I46247651"],"apc_list":null,"apc_paid":null,"fwci":1.604,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.84528279,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"63","issue":"12","first_page":"5267","last_page":"5282"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11392","display_name":"Energy Harvesting in Wireless Networks","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/T11392","display_name":"Energy Harvesting in Wireless Networks","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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9995999932289124,"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9973999857902527,"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/macrocell","display_name":"Macrocell","score":0.8916293382644653},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5921134352684021},{"id":"https://openalex.org/keywords/power-control","display_name":"Power control","score":0.5904909372329712},{"id":"https://openalex.org/keywords/base-station","display_name":"Base station","score":0.5847684144973755},{"id":"https://openalex.org/keywords/stochastic-geometry","display_name":"Stochastic geometry","score":0.548218846321106},{"id":"https://openalex.org/keywords/small-cell","display_name":"Small cell","score":0.517298698425293},{"id":"https://openalex.org/keywords/energy-harvesting","display_name":"Energy harvesting","score":0.5159919261932373},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.5123942494392395},{"id":"https://openalex.org/keywords/transmitter-power-output","display_name":"Transmitter power output","score":0.444876104593277},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3833572268486023},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.36700108647346497},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.2836635708808899},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.2660366892814636},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.23050034046173096},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15758764743804932}],"concepts":[{"id":"https://openalex.org/C2778291847","wikidata":"https://www.wikidata.org/wiki/Q1163937","display_name":"Macrocell","level":3,"score":0.8916293382644653},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5921134352684021},{"id":"https://openalex.org/C56685638","wikidata":"https://www.wikidata.org/wiki/Q2300474","display_name":"Power control","level":3,"score":0.5904909372329712},{"id":"https://openalex.org/C68649174","wikidata":"https://www.wikidata.org/wiki/Q1379116","display_name":"Base station","level":2,"score":0.5847684144973755},{"id":"https://openalex.org/C31243852","wikidata":"https://www.wikidata.org/wiki/Q1666739","display_name":"Stochastic geometry","level":2,"score":0.548218846321106},{"id":"https://openalex.org/C179655311","wikidata":"https://www.wikidata.org/wiki/Q7543020","display_name":"Small cell","level":3,"score":0.517298698425293},{"id":"https://openalex.org/C101518730","wikidata":"https://www.wikidata.org/wiki/Q930236","display_name":"Energy harvesting","level":3,"score":0.5159919261932373},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.5123942494392395},{"id":"https://openalex.org/C65422117","wikidata":"https://www.wikidata.org/wiki/Q358527","display_name":"Transmitter power output","level":4,"score":0.444876104593277},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3833572268486023},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.36700108647346497},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.2836635708808899},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2660366892814636},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.23050034046173096},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15758764743804932},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcomm.2015.2497239","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2015.2497239","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"},{"id":"pmh:oai:arXiv.org:1510.07932","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.07932","pdf_url":"https://arxiv.org/pdf/1510.07932","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1510.07932","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1510.07932","pdf_url":"https://arxiv.org/pdf/1510.07932","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W612133031","https://openalex.org/W626545488","https://openalex.org/W1808956822","https://openalex.org/W1835254890","https://openalex.org/W1966708639","https://openalex.org/W1967450299","https://openalex.org/W2015398759","https://openalex.org/W2023903248","https://openalex.org/W2031322911","https://openalex.org/W2035299975","https://openalex.org/W2056088523","https://openalex.org/W2065154528","https://openalex.org/W2068499153","https://openalex.org/W2069114279","https://openalex.org/W2075142536","https://openalex.org/W2083630720","https://openalex.org/W2086471688","https://openalex.org/W2087533229","https://openalex.org/W2087805235","https://openalex.org/W2106762527","https://openalex.org/W2120846115","https://openalex.org/W2128177517","https://openalex.org/W2128646067","https://openalex.org/W2134686390","https://openalex.org/W2135411518","https://openalex.org/W2140277054","https://openalex.org/W2148058923","https://openalex.org/W2150136236","https://openalex.org/W2155099874","https://openalex.org/W3021722416","https://openalex.org/W3102873868","https://openalex.org/W3195435719","https://openalex.org/W6638624986","https://openalex.org/W6642194189","https://openalex.org/W6678168664","https://openalex.org/W6682057350"],"related_works":["https://openalex.org/W2794570086","https://openalex.org/W3039600855","https://openalex.org/W2592000626","https://openalex.org/W2169294228","https://openalex.org/W1922004413","https://openalex.org/W4225274345","https://openalex.org/W2287483826","https://openalex.org/W2091133526","https://openalex.org/W1989624344","https://openalex.org/W2067694495"],"abstract_inverted_index":{"Energy":[0],"harvesting":[1,102],"in":[2,227],"cellular":[3],"networks":[4],"is":[5,108,116,129,139],"an":[6,89],"emerging":[7],"technique":[8],"to":[9,121,167,188],"enhance":[10],"the":[11,20,42,58,67,84,122,125,131,134,137,147,162,174,208,215,222,228,231],"sustainability":[12],"of":[13,23,70,127,155,164,202,212,217,230],"power-constrained":[14],"wireless":[15],"devices.":[16],"This":[17],"paper":[18],"considers":[19],"co-channel":[21],"deployment":[22],"a":[24,52,62,93,99,109,142,153,156,170,183,190,200],"macrocell":[25,43],"overlaid":[26],"with":[27],"small":[28,31],"cells.":[29],"The":[30],"cell":[32],"base":[33,44],"stations":[34],"(SBSs)":[35],"harvest":[36],"energy":[37,54,101,111,115,225],"from":[38],"environmental":[39],"sources":[40],"whereas":[41],"station":[45],"(MBS)":[46],"uses":[47],"conventional":[48],"power":[49,63,192,209],"supply.":[50],"Given":[51],"stochastic":[53,144,186],"arrival":[55],"process":[56],"for":[57,66,104,195],"SBSs,":[59,105],"we":[60,181,206],"derive":[61,207],"control":[64,193,210],"policy":[65,194,211],"downlink":[68],"transmission":[69,95],"both":[71],"MBS":[72,138],"and":[73,118,136,146,179,221],"SBSs":[74,128,165,213],"such":[75],"that":[76],"they":[77],"can":[78],"achieve":[79],"their":[80],"objectives":[81],"[e.g.,":[82],"maintain":[83],"signal-to-interference-plus-noise":[85],"ratio":[86],"(SINR);":[87],"at":[88],"acceptable":[90],"level]":[91],"on":[92],"given":[94,214],"channel.":[96],"We":[97],"consider":[98],"centralized":[100,175],"mechanism":[103],"i.e.,":[106],"there":[107],"central":[110],"storage":[112],"(CES)":[113],"where":[114],"harvested":[117,224],"then":[119],"distributed":[120,191],"SBSs.":[123,232],"When":[124],"number":[126,163],"small,":[130],"game":[132,145,187],"between":[133],"CES":[135],"modeled":[140],"as":[141,152],"single-controller":[143],"equilibrium":[148],"policies":[149],"are":[150],"obtained":[151],"solution":[154],"quadratic":[157],"programming":[158],"problem.":[159],"However,":[160],"when":[161],"tends":[166],"infinity":[168],"(i.e.,":[169],"highly":[171],"dense":[172],"network),":[173],"scheme":[176],"becomes":[177],"infeasible,":[178],"therefore,":[180],"use":[182],"mean":[184,218],"field":[185,219],"obtain":[189],"each":[196],"SBS.":[197],"By":[198],"solving":[199],"system":[201],"partial":[203],"differential":[204],"equations,":[205],"knowledge":[216],"distribution":[220],"available":[223],"levels":[226],"batteries":[229]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}