{"id":"https://openalex.org/W2401013835","doi":"https://doi.org/10.1109/tvt.2015.2436068","title":"&lt;inline-formula&gt; &lt;tex-math notation=\"LaTeX\"&gt;$\\alpha$&lt;/tex-math&gt; &lt;/inline-formula&gt;-Fair Power Allocation in Spectrum-Sharing Networks","display_name":"&lt;inline-formula&gt; &lt;tex-math notation=\"LaTeX\"&gt;$\\alpha$&lt;/tex-math&gt; &lt;/inline-formula&gt;-Fair Power Allocation in Spectrum-Sharing Networks","publication_year":2015,"publication_date":"2015-05-21","ids":{"openalex":"https://openalex.org/W2401013835","doi":"https://doi.org/10.1109/tvt.2015.2436068","mag":"2401013835"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2015.2436068","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2015.2436068","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/A5035101808","display_name":"Chongtao Guo","orcid":"https://orcid.org/0000-0002-0701-9615"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chongtao Guo","raw_affiliation_strings":["College of Information Engineering, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"College of Information Engineering, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100732087","display_name":"Yan Zhang","orcid":"https://orcid.org/0000-0002-2168-9674"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yan Zhang","raw_affiliation_strings":["State Key Laboratory of ISN, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of ISN, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029337392","display_name":"Min Sheng","orcid":"https://orcid.org/0000-0002-7762-5063"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Sheng","raw_affiliation_strings":["State Key Laboratory of ISN, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of ISN, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053465205","display_name":"Xijun Wang","orcid":"https://orcid.org/0000-0001-9155-7653"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xijun Wang","raw_affiliation_strings":["State Key Laboratory of ISN, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of ISN, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101817161","display_name":"Yuzhou Li","orcid":"https://orcid.org/0000-0002-1322-5319"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuzhou Li","raw_affiliation_strings":["State Key Laboratory of ISN, Xidian University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of ISN, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5035101808"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":null,"apc_paid":null,"fwci":1.9729,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.88127616,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"65","issue":"5","first_page":"3771","last_page":"3777"},"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/T10579","display_name":"Cognitive Radio Networks and Spectrum Sensing","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9994000196456909,"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/max-min-fairness","display_name":"Max-min fairness","score":0.566635251045227},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.5473743081092834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5436869859695435},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.529508113861084},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5134371519088745},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49404266476631165},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.4936879575252533},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.47525784373283386},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4519798159599304},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2543126940727234},{"id":"https://openalex.org/keywords/resource-allocation","display_name":"Resource allocation","score":0.07394039630889893}],"concepts":[{"id":"https://openalex.org/C177972170","wikidata":"https://www.wikidata.org/wiki/Q17097315","display_name":"Max-min fairness","level":3,"score":0.566635251045227},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5473743081092834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5436869859695435},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.529508113861084},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5134371519088745},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49404266476631165},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.4936879575252533},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.47525784373283386},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4519798159599304},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2543126940727234},{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.07394039630889893},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvt.2015.2436068","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvt.2015.2436068","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/G1326827554","display_name":null,"funder_award_id":"91338114","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1595715893","display_name":null,"funder_award_id":"B08038","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G3801695696","display_name":null,"funder_award_id":"61231008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6256837806","display_name":null,"funder_award_id":"61301176","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6402611645","display_name":null,"funder_award_id":"61201141","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8178862540","display_name":null,"funder_award_id":"61172079","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/F4320327912","display_name":"Higher Education Discipline Innovation Project","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W75157487","https://openalex.org/W1499786761","https://openalex.org/W1630733292","https://openalex.org/W2015454796","https://openalex.org/W2057035426","https://openalex.org/W2063827312","https://openalex.org/W2087542940","https://openalex.org/W2107413438","https://openalex.org/W2112820013","https://openalex.org/W2122011919","https://openalex.org/W2138908166","https://openalex.org/W2139278147","https://openalex.org/W2139507111","https://openalex.org/W2144000019","https://openalex.org/W2145163533","https://openalex.org/W2147524058","https://openalex.org/W2150586017","https://openalex.org/W2151278498","https://openalex.org/W2296319761","https://openalex.org/W3103842465","https://openalex.org/W3150183338","https://openalex.org/W4250589301","https://openalex.org/W6630118670","https://openalex.org/W6680683695"],"related_works":["https://openalex.org/W2947806671","https://openalex.org/W2390878257","https://openalex.org/W1517908938","https://openalex.org/W2144260821","https://openalex.org/W2141163797","https://openalex.org/W2281834912","https://openalex.org/W1489941249","https://openalex.org/W2118922860","https://openalex.org/W3123492739","https://openalex.org/W4387635768"],"abstract_inverted_index":{"To":[0,99],"efficiently":[1],"trade":[2],"off":[3],"system":[4],"sum-rate":[5,165],"and":[6,47,65,90,110,166],"link":[7],"fairness,":[8],"this":[9,75],"paper":[10],"is":[11,71,82,91,126],"dedicated":[12],"to":[13,131],"maximizing":[14],"the":[15,31,56,80,102,107,114,140],"sum":[16],"of":[17,116,170],"\u03b1-fair":[18],"utility":[19],"in":[20,147,168],"spectrum-sharing":[21],"networks,":[22],"where":[23],"multiple":[24],"interfering":[25],"links":[26],"share":[27],"one":[28],"channel.":[29],"In":[30,74,156],"literature,":[32],"three":[33],"special":[34],"cases,":[35],"including":[36],"\u03b1":[37,42,48,62,68,87,96,153],"=":[38,43,49],"0":[39,66,94,151],"(sum-rate":[40],"maximization),":[41],"1":[44,60,70,85],"(proportional":[45],"fairness),":[46,52],"\u221e":[50,64,89],"(max-min":[51],"have":[53],"been":[54],"investigated;":[55],"complexity":[57],"for":[58],"cases":[59,149],"<;":[61,63,67,69,86,88,95,97,152,154],"still":[72],"unknown.":[73],"paper,":[76],"we":[77,105,158],"prove":[78],"that":[79,139],"problem":[81],"convex":[83],"when":[84,93,150],"NP-hard":[92],"1.":[98,155],"deal":[100],"with":[101,128],"latter":[103],"case,":[104],"transform":[106],"objective":[108],"function":[109],"represent":[111],"it":[112],"by":[113,173],"difference":[115],"two":[117],"concave":[118],"functions":[119],"(D.C.).":[120],"Then,":[121],"a":[122,132,161],"power":[123],"allocation":[124],"algorithm":[125,142],"proposed":[127,141],"fast":[129],"convergence":[130],"local":[133],"optimal":[134],"point.":[135],"Simulation":[136],"results":[137],"show":[138],"can":[143,159],"obtain":[144],"global":[145],"optimality":[146],"two-link":[148],"addition,":[157],"get":[160],"flexible":[162],"tradeoff":[163],"between":[164],"fairness":[167],"terms":[169],"Jain's":[171],"index":[172],"adjusting":[174],"\u03b1.":[175]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
