{"id":"https://openalex.org/W2133479744","doi":"https://doi.org/10.1109/infcom.2009.5062017","title":"An Information-Theoretic Characterization of Weighted alpha-Proportional Fairness","display_name":"An Information-Theoretic Characterization of Weighted alpha-Proportional Fairness","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W2133479744","doi":"https://doi.org/10.1109/infcom.2009.5062017","mag":"2133479744"},"language":"en","primary_location":{"id":"doi:10.1109/infcom.2009.5062017","is_oa":false,"landing_page_url":"https://doi.org/10.1109/infcom.2009.5062017","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE INFOCOM 2009","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/A5000225743","display_name":"Masato Uchida","orcid":"https://orcid.org/0000-0002-1998-0788"},"institutions":[{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"M. Uchida","raw_affiliation_strings":["Network Design Res. Center, Kyushu Inst. of Technol., Tokyo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Network Design Res. Center, Kyushu Inst. of Technol., Tokyo","institution_ids":["https://openalex.org/I207014233"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109932472","display_name":"Jim Kurose","orcid":null},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Kurose","raw_affiliation_strings":["Department of Computer Science, University of Massachusetts, Amherst, MA, USA","University of Massachusetts"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Massachusetts, Amherst, MA, USA","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"University of Massachusetts","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.3397,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.96667987,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1053","last_page":"1061"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9969000220298767,"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/T10138","display_name":"Network Traffic and Congestion Control","score":0.9940000176429749,"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/resource-allocation","display_name":"Resource allocation","score":0.7166626453399658},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.705012321472168},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.6019683480262756},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.5813580751419067},{"id":"https://openalex.org/keywords/max-min-fairness","display_name":"Max-min fairness","score":0.5262892842292786},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5253883004188538},{"id":"https://openalex.org/keywords/resource","display_name":"Resource (disambiguation)","score":0.524077832698822},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5210096836090088},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5158714056015015},{"id":"https://openalex.org/keywords/resource-management","display_name":"Resource management (computing)","score":0.5011725425720215},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.48663195967674255},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.43973466753959656},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43116500973701477},{"id":"https://openalex.org/keywords/alpha","display_name":"Alpha (finance)","score":0.41508013010025024},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.2789399027824402},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18367284536361694},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1622752547264099},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1437670886516571},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.11101385951042175}],"concepts":[{"id":"https://openalex.org/C29202148","wikidata":"https://www.wikidata.org/wiki/Q287260","display_name":"Resource allocation","level":2,"score":0.7166626453399658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.705012321472168},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.6019683480262756},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.5813580751419067},{"id":"https://openalex.org/C177972170","wikidata":"https://www.wikidata.org/wiki/Q17097315","display_name":"Max-min fairness","level":3,"score":0.5262892842292786},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5253883004188538},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.524077832698822},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5210096836090088},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5158714056015015},{"id":"https://openalex.org/C2780609101","wikidata":"https://www.wikidata.org/wiki/Q17156588","display_name":"Resource management (computing)","level":2,"score":0.5011725425720215},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.48663195967674255},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.43973466753959656},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43116500973701477},{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.41508013010025024},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.2789399027824402},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18367284536361694},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1622752547264099},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1437670886516571},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.11101385951042175},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"score":0.0},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/infcom.2009.5062017","is_oa":false,"landing_page_url":"https://doi.org/10.1109/infcom.2009.5062017","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE INFOCOM 2009","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W171504317","https://openalex.org/W1531510925","https://openalex.org/W1572996156","https://openalex.org/W1573082642","https://openalex.org/W1963892706","https://openalex.org/W1983874169","https://openalex.org/W1987497363","https://openalex.org/W2001821940","https://openalex.org/W2036069100","https://openalex.org/W2044005358","https://openalex.org/W2099111195","https://openalex.org/W2099986204","https://openalex.org/W2108251005","https://openalex.org/W2122882636","https://openalex.org/W2123838014","https://openalex.org/W2127169877","https://openalex.org/W2130861428","https://openalex.org/W2147524058","https://openalex.org/W2149375806","https://openalex.org/W2153857052","https://openalex.org/W2159715570","https://openalex.org/W2161809383","https://openalex.org/W2161872841","https://openalex.org/W2317912355","https://openalex.org/W2345511624","https://openalex.org/W2613173048","https://openalex.org/W3020151382","https://openalex.org/W4239651601","https://openalex.org/W4240896209","https://openalex.org/W4255154522","https://openalex.org/W4296180618","https://openalex.org/W6606935338","https://openalex.org/W6631899890"],"related_works":["https://openalex.org/W2341847970","https://openalex.org/W2373207776","https://openalex.org/W2061187297","https://openalex.org/W291937575","https://openalex.org/W2548647858","https://openalex.org/W2349594227","https://openalex.org/W2923452570","https://openalex.org/W1890643295","https://openalex.org/W2104478802","https://openalex.org/W1673345157"],"abstract_inverted_index":{"This":[0,203],"paper":[1,26,146],"provides":[2],"a":[3,43,92,166,191,197],"novel":[4],"characterization":[5],"of":[6,17,112,123,135,169,176,184],"fairness":[7,39,151,156],"concepts":[8],"in":[9,24,34,63,105,144,217],"network":[10,219],"resource":[11,89,94,98,126,214],"allocation":[12,90,99,215],"problems":[13,216],"from":[14,108],"the":[15,30,68,84,87,109,121,124,132,149,161,177,182,201],"viewpoint":[16],"information":[18,56,64,77,170],"theory.":[19],"The":[20,96,141],"fundamental":[21],"idea":[22],"adopted":[23],"this":[25,75,145],"is":[27,53,100,117,129,165,206],"to":[28,66,82,102,138,199,209,212],"characterize":[29],"utility":[31,193],"functions":[32],"used":[33,62],"optimization":[35],"problems,":[36],"which":[37,128,164],"motivate":[38],"concepts,":[40],"based":[41,119],"on":[42,120],"trade-off":[44,178],"between":[45,70,86],"user":[46,51],"and":[47,91,227],"system":[48,115],"satisfaction.":[49],"Here,":[50],"satisfaction":[52,116],"evaluated":[54,118],"using":[55,160],"divergence":[57,78,171],"measures":[58,79],"that":[59,148,195],"were":[60],"originally":[61],"theory":[65],"evaluate":[67,83],"difference":[69,85],"two":[71],"probability":[72],"distributions.":[73],"In":[74,181],"paper,":[76],"are":[80],"applied":[81,208],"implemented":[88,125],"requested":[93,97],"allocation.":[95],"assumed":[101],"be":[103,158],"ideal":[104],"some":[106],"sense":[107],"user's":[110],"point":[111],"view.":[113],"Also,":[114],"efficiency":[122],"utilization,":[127],"defined":[130],"as":[131,173,222],"total":[133],"amount":[134],"resources":[136],"allocated":[137],"each":[139],"user.":[140],"results":[142],"discussed":[143],"indicate":[147],"well-known":[150],"concept":[152],"called":[153],"weighted":[154],"alpha-proportional":[155],"can":[157],"characterized":[159],"alpha-divergence":[162],"measure,":[163],"general":[167],"class":[168],"measures,":[172],"an":[174],"equilibrium":[175],"described":[179],"above.":[180],"process":[183],"obtaining":[185],"these":[186],"results,":[187],"we":[188],"also":[189],"obtained":[190],"new":[192,204],"function":[194,205],"has":[196],"parameter":[198],"control":[200],"trade-off.":[202],"then":[207],"typical":[210],"examples":[211],"solve":[213],"simple":[218],"models":[220],"such":[221],"those":[223],"for":[224],"two-link":[225],"networks":[226],"wireless":[228],"LANs.":[229]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":8},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}