{"id":"https://openalex.org/W2761622944","doi":"https://doi.org/10.1109/tit.2015.2477401","title":"Reliability of Erasure Coded Storage Systems: A Combinatorial-Geometric Approach","display_name":"Reliability of Erasure Coded Storage Systems: A Combinatorial-Geometric Approach","publication_year":2015,"publication_date":"2015-09-10","ids":{"openalex":"https://openalex.org/W2761622944","doi":"https://doi.org/10.1109/tit.2015.2477401","mag":"2761622944"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2015.2477401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2477401","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1409.7286","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Vinay A. Vaishampayan","orcid":null},"institutions":[{"id":"https://openalex.org/I174216632","display_name":"City University of New York","ror":"https://ror.org/00453a208","country_code":"US","type":"education","lineage":["https://openalex.org/I174216632"]},{"id":"https://openalex.org/I1283103587","display_name":"AT&T (United States)","ror":"https://ror.org/02bbd5539","country_code":"US","type":"company","lineage":["https://openalex.org/I1283103587"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vinay A. Vaishampayan","raw_affiliation_strings":["AT&T Shannon Laboratory, Florham Park, NJ, USA","Department of Engineering Science and Physics, City University of New York, New York, NY, USA"],"affiliations":[{"raw_affiliation_string":"AT&T Shannon Laboratory, Florham Park, NJ, USA","institution_ids":["https://openalex.org/I1283103587"]},{"raw_affiliation_string":"Department of Engineering Science and Physics, City University of New York, New York, NY, USA","institution_ids":["https://openalex.org/I174216632"]}]},{"author_position":"last","author":{"id":null,"display_name":"Antonio Campello","orcid":null},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]},{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]}],"countries":["BR","FR"],"is_corresponding":false,"raw_author_name":"Antonio Campello","raw_affiliation_strings":["T\u00e9l\u00e9com Paris Tech, Paris, France","University of Campinas, Campinas, Brazil"],"affiliations":[{"raw_affiliation_string":"T\u00e9l\u00e9com Paris Tech, Paris, France","institution_ids":["https://openalex.org/I12356871"]},{"raw_affiliation_string":"University of Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1283103587","https://openalex.org/I174216632"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.3331655,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"61","issue":"11","first_page":"5795","last_page":"5809"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9891999959945679,"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"}},"topics":[{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9891999959945679,"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/T12162","display_name":"Cellular Automata and Applications","score":0.0034000000450760126,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.0010000000474974513,"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/data-loss","display_name":"Data loss","score":0.555899977684021},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.5314000248908997},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5081999897956848},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4925999939441681},{"id":"https://openalex.org/keywords/regular-conditional-probability","display_name":"Regular conditional probability","score":0.4864000082015991},{"id":"https://openalex.org/keywords/reliability-theory","display_name":"Reliability theory","score":0.47429999709129333},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.4722999930381775},{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.47110000252723694},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.46779999136924744}],"concepts":[{"id":"https://openalex.org/C193519340","wikidata":"https://www.wikidata.org/wiki/Q891179","display_name":"Data loss","level":2,"score":0.555899977684021},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.5314000248908997},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.527400016784668},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5081999897956848},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4925999939441681},{"id":"https://openalex.org/C103982235","wikidata":"https://www.wikidata.org/wiki/Q7309594","display_name":"Regular conditional probability","level":4,"score":0.4864000082015991},{"id":"https://openalex.org/C201729545","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability theory","level":3,"score":0.47429999709129333},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.4722999930381775},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.47110000252723694},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.46779999136924744},{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.4512999951839447},{"id":"https://openalex.org/C97933134","wikidata":"https://www.wikidata.org/wiki/Q5374249","display_name":"Empirical probability","level":4,"score":0.41130000352859497},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4065000116825104},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.40540000796318054},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.3781999945640564},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36320000886917114},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.3508000075817108},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.34700000286102295},{"id":"https://openalex.org/C44492722","wikidata":"https://www.wikidata.org/wiki/Q327069","display_name":"Conditional probability","level":2,"score":0.32409998774528503},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.3140999972820282},{"id":"https://openalex.org/C39947850","wikidata":"https://www.wikidata.org/wiki/Q729523","display_name":"Geometric distribution","level":3,"score":0.29789999127388},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.2856000065803528},{"id":"https://openalex.org/C24885549","wikidata":"https://www.wikidata.org/wiki/Q339678","display_name":"Distributed data store","level":2,"score":0.28439998626708984},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.274399995803833},{"id":"https://openalex.org/C197096303","wikidata":"https://www.wikidata.org/wiki/Q869887","display_name":"Probability mass function","level":3,"score":0.2700999975204468},{"id":"https://openalex.org/C49698424","wikidata":"https://www.wikidata.org/wiki/Q1989192","display_name":"Law of total probability","level":4,"score":0.26440000534057617},{"id":"https://openalex.org/C112758219","wikidata":"https://www.wikidata.org/wiki/Q16038819","display_name":"Duration (music)","level":2,"score":0.26350000500679016}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2015.2477401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2477401","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"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 Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1409.7286","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.7286","pdf_url":"https://arxiv.org/pdf/1409.7286","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1409.7286","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1409.7286","pdf_url":"https://arxiv.org/pdf/1409.7286","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2779212140","display_name":null,"funder_award_id":"400441/2014-4","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G441328700","display_name":null,"funder_award_id":"2013/25219-5","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G7913813306","display_name":null,"funder_award_id":"2014/20602-8","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W2005571602","https://openalex.org/W2047520269","https://openalex.org/W2052434924","https://openalex.org/W2105185344","https://openalex.org/W2107443497","https://openalex.org/W2118680159","https://openalex.org/W2123438830","https://openalex.org/W2147853062","https://openalex.org/W4249562327","https://openalex.org/W4249708694","https://openalex.org/W4301885439","https://openalex.org/W4402911220","https://openalex.org/W6638155317","https://openalex.org/W6678803342","https://openalex.org/W6683682350","https://openalex.org/W6697645564"],"related_works":[],"abstract_inverted_index":{"We":[0,182],"consider":[1],"the":[2,9,36,41,48,59,75,87,90,96,101,119,129,132,146,151,162,168,193,206,218,226],"probability":[3,33,51,104,120,130,166,221],"of":[4,52,61,77,86,89,98,121,131,153,170,195,197,200],"data":[5,17,49,102,122,147,164,219],"loss,":[6,123],"or":[7],"equivalently,":[8],"reliability":[10,91],"function":[11],"for":[12,35,105,118,144,161],"an":[13,27,84,159,214],"erasure":[14,28],"coded":[15,29],"distributed":[16,63],"storage":[18],"system":[19,30],"under":[20,58],"worst":[21],"case":[22,152],"conditions.":[23],"Data":[24],"loss":[25,50,103,148,165,220],"in":[26,177],"depends":[31],"on":[32,192,217],"distributions":[34],"disk":[37,42,64,67],"repair":[38,68,107,136,155],"duration":[39,110,137,141],"and":[40,66,108,124,213],"failure":[43,65,109,140],"duration.":[44],"In":[45],"previous":[46],"works,":[47],"such":[53],"systems":[54],"has":[55],"been":[56],"studied":[57],"assumption":[60],"exponentially":[62],"durations,":[69],"using":[70],"well-known":[71],"analytic":[72],"methods":[73,81],"from":[74],"theory":[76],"Markov":[78],"processes.":[79],"These":[80],"lead":[82],"to":[83,205],"estimate":[85],"integral":[88],"function.":[92],"Here,":[93],"we":[94,157],"address":[95],"problem":[97,227],"directly":[99],"calculating":[100],"general":[106],"distributions.":[111],"A":[112],"closed":[113],"limiting":[114],"form":[115],"is":[116,126,142,211,222],"developed":[117],"it":[125],"shown":[127],"that":[128,134,190,202],"event":[133],"a":[135,139,174,178,187,198,229],"exceeds":[138],"sufficient":[143],"characterizing":[145],"probability.":[149],"For":[150],"constant":[154],"duration,":[156],"develop":[158],"expression":[160],"conditional":[163],"given":[167,179],"number":[169],"failures":[171],"experienced":[172],"by":[173,185,224],"each":[175],"node":[176],"time":[180],"window.":[181],"do":[183],"so":[184],"developing":[186],"geometric":[188],"approach":[189],"relies":[191],"computation":[194],"volumes":[196],"family":[199],"polytopes":[201],"are":[203,235],"related":[204],"code.":[207],"An":[208],"exact":[209],"calculation":[210],"provided,":[212],"upper":[215],"bound":[216],"obtained":[223],"posing":[225],"as":[228],"set":[230],"avoidance":[231],"problem.":[232],"Theoretical":[233],"calculations":[234],"compared":[236],"with":[237],"simulation":[238],"results.":[239]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2017-10-20T00:00:00"}