{"id":"https://openalex.org/W2021124283","doi":"https://doi.org/10.1145/1250790.1250829","title":"Balanced allocations","display_name":"Balanced allocations","publication_year":2007,"publication_date":"2007-06-11","ids":{"openalex":"https://openalex.org/W2021124283","doi":"https://doi.org/10.1145/1250790.1250829","mag":"2021124283"},"language":"en","primary_location":{"id":"doi:10.1145/1250790.1250829","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1250790.1250829","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the thirty-ninth annual ACM symposium on Theory of computing","raw_type":"proceedings-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/A5080065269","display_name":"Kunal Talwar","orcid":null},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]},{"id":"https://openalex.org/I4210086253","display_name":"Silicon Valley Community Foundation","ror":"https://ror.org/001ader08","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210086253"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kunal Talwar","raw_affiliation_strings":["Microsoft Research - Silicon Valley, Mountain View, CA","Microsoft Research Silicon Valley, Mountain View CA#TAB#"],"affiliations":[{"raw_affiliation_string":"Microsoft Research - Silicon Valley, Mountain View, CA","institution_ids":["https://openalex.org/I4210086253","https://openalex.org/I1290206253"]},{"raw_affiliation_string":"Microsoft Research Silicon Valley, Mountain View CA#TAB#","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025142058","display_name":"Udi Wieder","orcid":null},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]},{"id":"https://openalex.org/I4210086253","display_name":"Silicon Valley Community Foundation","ror":"https://ror.org/001ader08","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210086253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Udi Wieder","raw_affiliation_strings":["Microsoft Research - Silicon Valley, Mountain View, CA","Microsoft Research Silicon Valley, Mountain View CA#TAB#"],"affiliations":[{"raw_affiliation_string":"Microsoft Research - Silicon Valley, Mountain View, CA","institution_ids":["https://openalex.org/I4210086253","https://openalex.org/I1290206253"]},{"raw_affiliation_string":"Microsoft Research Silicon Valley, Mountain View CA#TAB#","institution_ids":["https://openalex.org/I1290206253"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080065269"],"corresponding_institution_ids":["https://openalex.org/I1290206253","https://openalex.org/I4210086253"],"apc_list":null,"apc_paid":null,"fwci":2.8978,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.91254103,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"256","last_page":"265"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11161","display_name":"Consumer Market Behavior and Pricing","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1406","display_name":"Marketing"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11182","display_name":"Auction Theory and Applications","score":0.98089998960495,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bin","display_name":"Bin","score":0.9068524837493896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7032840251922607},{"id":"https://openalex.org/keywords/weight-distribution","display_name":"Weight distribution","score":0.6714320182800293},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.6452834010124207},{"id":"https://openalex.org/keywords/moment","display_name":"Moment (physics)","score":0.6055372953414917},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5903053283691406},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5345460772514343},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.45143088698387146},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4266117811203003},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27461591362953186},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2574307918548584},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19581398367881775},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11402755975723267},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.05950000882148743}],"concepts":[{"id":"https://openalex.org/C156273044","wikidata":"https://www.wikidata.org/wiki/Q4913766","display_name":"Bin","level":2,"score":0.9068524837493896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7032840251922607},{"id":"https://openalex.org/C25432639","wikidata":"https://www.wikidata.org/wiki/Q3711790","display_name":"Weight distribution","level":2,"score":0.6714320182800293},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.6452834010124207},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.6055372953414917},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5903053283691406},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5345460772514343},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.45143088698387146},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4266117811203003},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27461591362953186},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2574307918548584},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19581398367881775},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11402755975723267},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.05950000882148743},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1250790.1250829","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1250790.1250829","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the thirty-ninth annual ACM symposium on Theory of computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7200000286102295,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1486613786","https://openalex.org/W1518727905","https://openalex.org/W1533432294","https://openalex.org/W1631258642","https://openalex.org/W1678178911","https://openalex.org/W1993803315","https://openalex.org/W1996492982","https://openalex.org/W2026617895","https://openalex.org/W2029709107","https://openalex.org/W2033822694","https://openalex.org/W2061468734","https://openalex.org/W2085569381","https://openalex.org/W2140422174","https://openalex.org/W2912437396"],"related_works":["https://openalex.org/W2107701374","https://openalex.org/W1616588898","https://openalex.org/W4249504934","https://openalex.org/W2183416055","https://openalex.org/W2568867011","https://openalex.org/W2811066438","https://openalex.org/W1998475765","https://openalex.org/W2962877694","https://openalex.org/W2021124283","https://openalex.org/W2097752597"],"abstract_inverted_index":{"We":[0,103,121],"investigate":[1],"balls-and-bins":[2],"processes":[3],"where":[4,34,111],"m":[5,38,85],"weighted":[6,109],"balls":[7,39,65,112,158,178],"areplaced":[8],"into":[9,23],"n":[10],"bins":[11],"using":[12],"the":[13,24,37,57,74,78,108,126,138,141,144,148,151,190,193,200,204,209,213,220],"\"power":[14],"of":[15,27,36,143,150,203,212,219,222],"two":[16,28],"choices\"":[17],"paradigm,whereby":[18],"a":[19,48,134],"ball":[20],"is":[21,154,161,207,215],"inserted":[22],"less":[25],"loaded":[26,59],"randomly":[29],"chosen":[30],"bins.":[31],"The":[32],"case":[33,110],"each":[35],"has":[40,61,129],"unit":[41],"weight":[42,119,127,142,149,205],"had":[43],"been":[44],"studied":[45],"extensively.":[46],"In":[47,173],"seminal":[49],"paper":[50],"Azar":[51],"et.al.":[52],"showed":[53],"that":[54,123],"when":[55],"m=n":[56],"most":[58],"bin":[60,76,80,146,153],"\u0398(log":[62,93],"log":[63,94],"n)":[64,95],"with":[66,84,96,187],"high":[67,97,188],"probability.":[68],"Surprisingly,":[69],"thegap":[70],"in":[71,192],"load":[72,194],"between":[73,140],"heaviest":[75,145],"and":[77,86,147,181],"average":[79,152],"does":[81,196],"not":[82],"increase":[83],"was":[87],"shown":[88,216],"by":[89],"Berenbrink":[90],"etal":[91],"tobe":[92],"probability":[98],"for":[99],"arbitrarily":[100],"large":[101],"m.":[102],"generalize":[104],"this":[105],"result":[106],"to":[107,217],"have":[113],"weights":[114,183],"drawn":[115],"from":[116],"an":[117],"arbitrary":[118],"distribution.":[120],"show":[122],"aslong":[124],"as":[125,169,176],"distribution":[128,195,206],"finite":[130],"second":[131],"moment":[132,202],"andsatisfies":[133],"mild":[135],"technical":[136],"condition,":[137],"gap":[139,214],"independent":[155],"ofthe":[156],"number":[157,221],"thrown.":[159],"This":[160],"especially":[162],"striking":[163],"whenconsidering":[164],"heavy":[165],"tailed":[166],"distributions":[167],"such":[168],"Power-Law":[170],"andLog-Normal":[171],"distributions.":[172],"these":[174],"cases,":[175],"more":[177],"are":[179,184],"thrown,heavier":[180],"heavier":[182],"encountered.":[185],"Nevertheless":[186],"probability,":[189],"imbalance":[191],"notincrease.":[197],"Furthermore,":[198],"if":[199],"fourth":[201],"finite,":[208],"expected":[210],"value":[211],"beindependent":[218],"balls.":[223]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}