{"id":"https://openalex.org/W2160310234","doi":"https://doi.org/10.1109/wcnc.2009.4917504","title":"A Game Theoretical Formulation for Proportional Fairness in LTE Uplink Scheduling","display_name":"A Game Theoretical Formulation for Proportional Fairness in LTE Uplink Scheduling","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W2160310234","doi":"https://doi.org/10.1109/wcnc.2009.4917504","mag":"2160310234"},"language":"en","primary_location":{"id":"doi:10.1109/wcnc.2009.4917504","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wcnc.2009.4917504","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE Wireless Communications and Networking Conference","raw_type":"proceedings-article"},"type":"conference-paper","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/A5012304239","display_name":"Elias Yaacoub","orcid":"https://orcid.org/0000-0002-3318-0621"},"institutions":[{"id":"https://openalex.org/I98635879","display_name":"American University of Beirut","ror":"https://ror.org/04pznsd21","country_code":"LB","type":"education","lineage":["https://openalex.org/I98635879"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"Elias Yaacoub","raw_affiliation_strings":["Department of Electrical and Computer Engineering, American University of Beirut, Beirut, Lebanon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, American University of Beirut, Beirut, Lebanon","institution_ids":["https://openalex.org/I98635879"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010567470","display_name":"Zaher Dawy","orcid":"https://orcid.org/0000-0002-5554-6380"},"institutions":[{"id":"https://openalex.org/I98635879","display_name":"American University of Beirut","ror":"https://ror.org/04pznsd21","country_code":"LB","type":"education","lineage":["https://openalex.org/I98635879"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"Zaher Dawy","raw_affiliation_strings":["Department of Electrical and Computer Engineering, American University of Beirut, Beirut, Lebanon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, American University of Beirut, Beirut, Lebanon","institution_ids":["https://openalex.org/I98635879"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I98635879"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":67,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11409","display_name":"Advanced Wireless Network 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/T11409","display_name":"Advanced Wireless Network 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/T10148","display_name":"Advanced MIMO Systems Optimization","score":0.9984999895095825,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9923999905586243,"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/maximum-throughput-scheduling","display_name":"Maximum throughput scheduling","score":0.8012228012084961},{"id":"https://openalex.org/keywords/fairness-measure","display_name":"Fairness measure","score":0.7495377063751221},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7420428991317749},{"id":"https://openalex.org/keywords/telecommunications-link","display_name":"Telecommunications link","score":0.7073825597763062},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.6857005953788757},{"id":"https://openalex.org/keywords/round-robin-scheduling","display_name":"Round-robin scheduling","score":0.6250794529914856},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5581585764884949},{"id":"https://openalex.org/keywords/bargaining-problem","display_name":"Bargaining problem","score":0.5413837432861328},{"id":"https://openalex.org/keywords/dynamic-priority-scheduling","display_name":"Dynamic priority scheduling","score":0.5070068836212158},{"id":"https://openalex.org/keywords/fair-share-scheduling","display_name":"Fair-share scheduling","score":0.5033347010612488},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.47186559438705444},{"id":"https://openalex.org/keywords/proportionally-fair","display_name":"Proportionally fair","score":0.4494627118110657},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.41245758533477783},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.35222941637039185},{"id":"https://openalex.org/keywords/throughput","display_name":"Throughput","score":0.2998088300228119},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.16874107718467712},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.12975585460662842},{"id":"https://openalex.org/keywords/quality-of-service","display_name":"Quality of service","score":0.07918459177017212},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.06657412648200989}],"concepts":[{"id":"https://openalex.org/C29722447","wikidata":"https://www.wikidata.org/wiki/Q17097321","display_name":"Maximum throughput scheduling","level":5,"score":0.8012228012084961},{"id":"https://openalex.org/C11867375","wikidata":"https://www.wikidata.org/wiki/Q5430671","display_name":"Fairness measure","level":4,"score":0.7495377063751221},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7420428991317749},{"id":"https://openalex.org/C138660444","wikidata":"https://www.wikidata.org/wiki/Q5607897","display_name":"Telecommunications link","level":2,"score":0.7073825597763062},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.6857005953788757},{"id":"https://openalex.org/C175893541","wikidata":"https://www.wikidata.org/wiki/Q1196582","display_name":"Round-robin scheduling","level":4,"score":0.6250794529914856},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5581585764884949},{"id":"https://openalex.org/C90376892","wikidata":"https://www.wikidata.org/wiki/Q1516247","display_name":"Bargaining problem","level":2,"score":0.5413837432861328},{"id":"https://openalex.org/C107568181","wikidata":"https://www.wikidata.org/wiki/Q5319000","display_name":"Dynamic priority scheduling","level":3,"score":0.5070068836212158},{"id":"https://openalex.org/C31689143","wikidata":"https://www.wikidata.org/wiki/Q733809","display_name":"Fair-share scheduling","level":3,"score":0.5033347010612488},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.47186559438705444},{"id":"https://openalex.org/C86127852","wikidata":"https://www.wikidata.org/wiki/Q7250364","display_name":"Proportionally fair","level":5,"score":0.4494627118110657},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.41245758533477783},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.35222941637039185},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.2998088300228119},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.16874107718467712},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.12975585460662842},{"id":"https://openalex.org/C5119721","wikidata":"https://www.wikidata.org/wiki/Q220501","display_name":"Quality of service","level":2,"score":0.07918459177017212},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.06657412648200989},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/wcnc.2009.4917504","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wcnc.2009.4917504","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE Wireless Communications and Networking Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W594018555","https://openalex.org/W2052869671","https://openalex.org/W2060611826","https://openalex.org/W2113495542","https://openalex.org/W2126341321","https://openalex.org/W2143225747","https://openalex.org/W2163198537"],"related_works":["https://openalex.org/W1999684000","https://openalex.org/W2093454713","https://openalex.org/W2391505263","https://openalex.org/W1974668751","https://openalex.org/W2130148499","https://openalex.org/W2040563361","https://openalex.org/W2514743824","https://openalex.org/W2380982398","https://openalex.org/W4251428942","https://openalex.org/W2991204687"],"abstract_inverted_index":{"Uplink":[0],"scheduling":[1,15,30,47],"in":[2],"LTE":[3],"systems":[4],"is":[5,11,17,32],"considered.":[6],"A":[7],"game":[8],"theoretical":[9],"formulation":[10],"derived":[12],"where":[13],"the":[14,28,50,60,68],"problem":[16],"represented":[18],"as":[19],"a":[20,54],"Nash":[21],"bargaining":[22],"solution.":[23],"An":[24],"algorithm":[25],"to":[26],"implement":[27],"proposed":[29],"scheme":[31],"presented.":[33],"Throughput":[34],"and":[35,65],"fairness":[36,66],"analysis":[37],"are":[38],"performed":[39],"via":[40],"simulations.":[41],"Results":[42],"show":[43],"that":[44],"channel":[45],"aware":[46],"schemes":[48],"outperform":[49],"round-robin":[51],"scheme,":[52],"but":[53],"tradeoff":[55],"must":[56],"be":[57],"made":[58],"between":[59],"increase":[61],"of":[62],"total":[63],"throughput":[64],"towards":[67],"different":[69],"users.":[70]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":5}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}