{"id":"https://openalex.org/W147056516","doi":null,"title":"Large Deviations estimates for Polling and Weighted Fair Queueing service systems","display_name":"Large Deviations estimates for Polling and Weighted Fair Queueing service systems","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W147056516","mag":"147056516"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.23.6442","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.6442","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.res.enst.fr/~oueslati/Pub/wfq.ps","raw_type":"text"},"volume":null,"type":"article","indexed_in":[],"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/A5007698196","display_name":"Laurent Massouli\u00e9","orcid":"https://orcid.org/0000-0001-7263-0069","observed_orcids":["https://orcid.org/0000-0001-7263-0069"]},"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"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Laurent Massouli\u00e9","raw_affiliation_strings":["(Microsoft)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"(Microsoft)","institution_ids":["https://openalex.org/I1290206253"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007698196"],"corresponding_institution_ids":["https://openalex.org/I1290206253"],"apc_list":null,"apc_paid":null,"fwci":2.8529,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.89347258,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"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/T10138","display_name":"Network Traffic and Congestion Control","score":0.00039999998989515007,"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/T11720","display_name":"Probability and Risk Models","score":0.0003000000142492354,"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/large-deviations","display_name":"large deviations","score":0.9660000205039978},{"id":"https://openalex.org/keywords/polling-systems","display_name":"polling systems","score":0.8740000128746033},{"id":"https://openalex.org/keywords/weighted-fair-queueing","display_name":"weighted fair queuing","score":0.9810000061988831},{"id":"https://openalex.org/keywords/weighted-round-robin","display_name":"weighted round robin","score":0.878000020980835},{"id":"https://openalex.org/keywords/sample-path-large-deviations","display_name":"sample path large deviations","score":0.75},{"id":"https://openalex.org/keywords/logarithmic-asymptotics","display_name":"logarithmic asymptotics","score":0.7599999904632568},{"id":"https://openalex.org/keywords/poisson-arrivals","display_name":"Poisson arrivals","score":0.7319999933242798},{"id":"https://openalex.org/keywords/fifo-scheduling","display_name":"FIFO scheduling","score":0.8790000081062317},{"id":"https://openalex.org/keywords/multi-class-queues","display_name":"multi-class queues","score":0.6060000061988831},{"id":"https://openalex.org/keywords/single-server-systems","display_name":"single-server systems","score":0.4740000069141388}],"concepts":[{"id":"https://openalex.org/C204854418","wikidata":"https://www.wikidata.org/wiki/Q1362921","display_name":"Polling","level":2,"score":0.8054519891738892},{"id":"https://openalex.org/C87190583","wikidata":"https://www.wikidata.org/wiki/Q17097337","display_name":"Polling system","level":3,"score":0.6461532711982727},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.631050705909729},{"id":"https://openalex.org/C2777145635","wikidata":"https://www.wikidata.org/wiki/Q515636","display_name":"FIFO (computing and electronics)","level":2,"score":0.588646650314331},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5139284133911133},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5053963661193848},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.49553072452545166},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.48646876215934753},{"id":"https://openalex.org/C102486512","wikidata":"https://www.wikidata.org/wiki/Q457762","display_name":"Weighted fair queueing","level":3,"score":0.4533315598964691},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4501101076602936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43091779947280884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41199567914009094},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35411345958709717},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.278622567653656},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.18659216165542603},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.186316579580307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.23.6442","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.6442","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.res.enst.fr/~oueslati/Pub/wfq.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.30.3963","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.30.3963","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://research.microsoft.com/users/lmassoul/wfq.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1495069704","https://openalex.org/W1567456245","https://openalex.org/W1656979091","https://openalex.org/W1982217074","https://openalex.org/W2031922390","https://openalex.org/W2035691748","https://openalex.org/W2064608320","https://openalex.org/W2129337887","https://openalex.org/W2133094699","https://openalex.org/W2161561460","https://openalex.org/W2176566884","https://openalex.org/W2323595115","https://openalex.org/W2462781393","https://openalex.org/W2802739963"],"related_works":["https://openalex.org/W145388775","https://openalex.org/W7096416803","https://openalex.org/W810089575","https://openalex.org/W2406154835","https://openalex.org/W7096308296","https://openalex.org/W2160353237","https://openalex.org/W2154009798","https://openalex.org/W7010947817","https://openalex.org/W2116534342","https://openalex.org/W7097844380"],"abstract_inverted_index":{":":[0],"In":[1],"this":[2],"paper":[3,135],"we":[4,37],"consider":[5],"a":[6,111,117,147],"single":[7,148],"server":[8,149],"system":[9],"with":[10,123,128,161],"an":[11],"arbitrary":[12],"number":[13],"of":[14,41,59,68,85,97,142],"tra#c":[15,62,108],"classes":[16],"employing":[17],"either":[18],"Weighted":[19,23],"Fair":[20,124],"Queueing":[21,125],"or":[22],"Round":[24],"Robin":[25],"service":[26],"policy":[27],"among":[28],"classes.":[29,89],"By":[30],"using":[31],"sample":[32],"path":[33],"Large":[34],"Deviations":[35],"techniques":[36],"derive":[38],"logarithmic":[39],"equivalents":[40,81],"the":[42,56,83,95,139,143,158,165],"quantities":[43],"P(W":[44],"i":[45,54,61],">":[46],"x)":[47],"as":[48],"x":[49],"#":[50],"#,":[51],"where":[52],"W":[53],"is":[55,101,136],"stationary":[57],"amount":[58],"class":[60,119],"backlogged.":[63],"This":[64],"generalizes":[65],"previous":[66],"results":[67,91],"Weber":[69],"[18],":[70],"O'Connell":[71],"[11]":[72],"and":[73,109],"Bertsimas":[74],"et":[75],"al.":[76],"[1]":[77],"who":[78],"derived":[79],"these":[80],"in":[82,94,103,110,153],"case":[84,96,113],"only":[86],"two":[87],"customer":[88],"The":[90,133],"are":[92,120],"illustrated":[93],"Poisson":[98],"tra#c.":[99],"It":[100],"shown,":[102],"particular,":[104],"that":[105],"for":[106,116],"such":[107],"symmetric":[112],"huge":[114],"backlogs":[115],"given":[118],"more":[121],"likely":[122],"rather":[126],"than":[127],"FIFO":[129],"scheduling.":[130],"1":[131],"Introduction":[132],"present":[134],"motivated":[137],"by":[138],"performance":[140],"evaluation":[141],"following":[144],"polling":[145],"system:":[146],"processes":[150],"customers":[151],"arriving":[152],"K":[154],"distinct":[155],"queues,":[156],"visiting":[157],"queues":[159],"cyclically":[160],"zero":[162],"walk":[163],"time;":[164],"...":[166]},"counts_by_year":[],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-27T00:00:00"}