{"id":"https://openalex.org/W1982272299","doi":"https://doi.org/10.1145/2612669.2612684","title":"Balanced allocations and double hashing","display_name":"Balanced allocations and double hashing","publication_year":2014,"publication_date":"2014-06-21","ids":{"openalex":"https://openalex.org/W1982272299","doi":"https://doi.org/10.1145/2612669.2612684","mag":"1982272299"},"language":"en","primary_location":{"id":"doi:10.1145/2612669.2612684","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2612669.2612684","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 26th ACM symposium on Parallelism in algorithms and architectures","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/A5062318856","display_name":"Michael Mitzenmacher","orcid":"https://orcid.org/0000-0001-5430-5457"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael Mitzenmacher","raw_affiliation_strings":["Harvard University, Cambridge , MA, USA"],"affiliations":[{"raw_affiliation_string":"Harvard University, Cambridge , MA, USA","institution_ids":["https://openalex.org/I2801851002"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062318856"],"corresponding_institution_ids":["https://openalex.org/I2801851002"],"apc_list":null,"apc_paid":null,"fwci":0.818,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7966919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"331","last_page":"342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9993000030517578,"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":0.9993000030517578,"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/T11478","display_name":"Caching and Content Delivery","score":0.9975000023841858,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9901000261306763,"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/hash-function","display_name":"Hash function","score":0.811674952507019},{"id":"https://openalex.org/keywords/dynamic-perfect-hashing","display_name":"Dynamic perfect hashing","score":0.7612290382385254},{"id":"https://openalex.org/keywords/k-independent-hashing","display_name":"K-independent hashing","score":0.6949328184127808},{"id":"https://openalex.org/keywords/universal-hashing","display_name":"Universal hashing","score":0.5894913673400879},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5756611824035645},{"id":"https://openalex.org/keywords/hash-table","display_name":"Hash table","score":0.5510625243186951},{"id":"https://openalex.org/keywords/consistent-hashing","display_name":"Consistent hashing","score":0.4866688847541809},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48250341415405273},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4696454405784607},{"id":"https://openalex.org/keywords/double-hashing","display_name":"Double hashing","score":0.4007970094680786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36305171251296997},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3385564088821411}],"concepts":[{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.811674952507019},{"id":"https://openalex.org/C122907437","wikidata":"https://www.wikidata.org/wiki/Q5318999","display_name":"Dynamic perfect hashing","level":5,"score":0.7612290382385254},{"id":"https://openalex.org/C187062812","wikidata":"https://www.wikidata.org/wiki/Q6322840","display_name":"K-independent hashing","level":5,"score":0.6949328184127808},{"id":"https://openalex.org/C116058348","wikidata":"https://www.wikidata.org/wiki/Q846912","display_name":"Universal hashing","level":5,"score":0.5894913673400879},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5756611824035645},{"id":"https://openalex.org/C67388219","wikidata":"https://www.wikidata.org/wiki/Q207440","display_name":"Hash table","level":3,"score":0.5510625243186951},{"id":"https://openalex.org/C56856351","wikidata":"https://www.wikidata.org/wiki/Q1757218","display_name":"Consistent hashing","level":5,"score":0.4866688847541809},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48250341415405273},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4696454405784607},{"id":"https://openalex.org/C138111711","wikidata":"https://www.wikidata.org/wiki/Q478351","display_name":"Double hashing","level":4,"score":0.4007970094680786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36305171251296997},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3385564088821411},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2612669.2612684","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2612669.2612684","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 26th ACM symposium on Parallelism in algorithms and architectures","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2585311580","display_name":null,"funder_award_id":"CNS-1011840","funder_id":"https://openalex.org/F4320337388","funder_display_name":"Division of Computer and Network Systems"},{"id":"https://openalex.org/G4720270498","display_name":null,"funder_award_id":"CCF-0915922","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"},{"id":"https://openalex.org/G6775885301","display_name":null,"funder_award_id":"IIS-0964473","funder_id":"https://openalex.org/F4320337389","funder_display_name":"Division of Information and Intelligent Systems"}],"funders":[{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"},{"id":"https://openalex.org/F4320337388","display_name":"Division of Computer and Network Systems","ror":"https://ror.org/02rdzmk74"},{"id":"https://openalex.org/F4320337389","display_name":"Division of Information and Intelligent Systems","ror":"https://ror.org/053a2cp42"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W76038825","https://openalex.org/W1508511118","https://openalex.org/W1521407587","https://openalex.org/W1544599463","https://openalex.org/W1582532008","https://openalex.org/W1595409123","https://openalex.org/W1968161494","https://openalex.org/W1968904909","https://openalex.org/W1977759320","https://openalex.org/W1979720612","https://openalex.org/W1979795732","https://openalex.org/W1981326337","https://openalex.org/W1982515170","https://openalex.org/W1996492982","https://openalex.org/W2011146667","https://openalex.org/W2014586253","https://openalex.org/W2023246505","https://openalex.org/W2030478553","https://openalex.org/W2034389879","https://openalex.org/W2052207834","https://openalex.org/W2055754268","https://openalex.org/W2055818195","https://openalex.org/W2061468734","https://openalex.org/W2062259223","https://openalex.org/W2063544484","https://openalex.org/W2067883080","https://openalex.org/W2068871408","https://openalex.org/W2071546224","https://openalex.org/W2081193615","https://openalex.org/W2095575865","https://openalex.org/W2115104320","https://openalex.org/W2117702591","https://openalex.org/W2125268927","https://openalex.org/W2126794261","https://openalex.org/W2152356197","https://openalex.org/W2551575090","https://openalex.org/W2611538209","https://openalex.org/W2912437396","https://openalex.org/W4213329537","https://openalex.org/W4244638572","https://openalex.org/W4292058084","https://openalex.org/W6603058310","https://openalex.org/W6632342106","https://openalex.org/W6729399071"],"related_works":["https://openalex.org/W4385382899","https://openalex.org/W2094127768","https://openalex.org/W3030563642","https://openalex.org/W2076162755","https://openalex.org/W2044784665","https://openalex.org/W2084899141","https://openalex.org/W2334522381","https://openalex.org/W1994360333","https://openalex.org/W2008682098","https://openalex.org/W3147234119"],"abstract_inverted_index":{"With":[0],"double":[1,41,108],"hashing,":[2],"for":[3,23,93],"an":[4,75],"item":[5,57],"x,":[6],"one":[7],"generates":[8],"two":[9],"hash":[10,28],"values":[11,29],"f(x)":[12],"and":[13,15,43,78,110],"g(x),":[14],"then":[16],"uses":[17],"combinations":[18],"(f(x)":[19],"+ig(x))":[20],"mod":[21],"n":[22],"i=0,1,2,...":[24],"to":[25,89],"generate":[26],"multiple":[27,80],"from":[30],"the":[31,37,50,61,94,105],"initial":[32],"two.":[33],"We":[34,73],"show":[35,90],"that":[36],"performance":[38],"difference":[39],"between":[40],"hashing":[42,46,109,113],"fully":[44,111],"random":[45,112],"appears":[47],"negligible":[48],"in":[49,60,117],"standard":[51],"balanced":[52],"allocation":[53],"paradigm,":[54],"where":[55],"each":[56],"is":[58],"placed":[59],"least":[62],"loaded":[63],"of":[64,107],"d":[65],"choices,":[66],"as":[67,69],"well":[68],"several":[70,84],"related":[71],"variants.":[72],"perform":[74],"empirical":[76],"study,":[77],"consider":[79],"theoretical":[81],"approaches.":[82],"While":[83],"techniques":[85],"can":[86],"be":[87],"used":[88],"asymptotic":[91],"results":[92],"maximum":[95],"load,":[96],"we":[97],"demonstrate":[98],"how":[99],"fluid":[100],"limit":[101],"methods":[102],"explain":[103],"why":[104],"behavior":[106],"are":[114],"essentially":[115],"indistinguishable":[116],"this":[118],"context.":[119]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}