{"id":"https://openalex.org/W2171075440","doi":"https://doi.org/10.1109/infcom.1994.337573","title":"Tails of stationary distributions of queued work","display_name":"Tails of stationary distributions of queued work","publication_year":2002,"publication_date":"2002-12-17","ids":{"openalex":"https://openalex.org/W2171075440","doi":"https://doi.org/10.1109/infcom.1994.337573","mag":"2171075440"},"language":"en","primary_location":{"id":"doi:10.1109/infcom.1994.337573","is_oa":false,"landing_page_url":"https://doi.org/10.1109/infcom.1994.337573","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of INFOCOM '94 Conference on Computer Communications","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/A5071557744","display_name":"Ron Addie","orcid":"https://orcid.org/0000-0002-6664-8462"},"institutions":[{"id":"https://openalex.org/I185523456","display_name":"University of Southern Queensland","ror":"https://ror.org/04sjbnx57","country_code":"AU","type":"education","lineage":["https://openalex.org/I185523456"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"R.G. Addie","raw_affiliation_strings":["University of Southern Queensland, Toowoomba, QLD, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Southern Queensland, Toowoomba, QLD, Australia","institution_ids":["https://openalex.org/I185523456"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071557744"],"corresponding_institution_ids":["https://openalex.org/I185523456"],"apc_list":null,"apc_paid":null,"fwci":1.7763,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.86315789,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":null,"first_page":"1170","last_page":"1177"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T11720","display_name":"Probability and Risk Models","score":0.9948999881744385,"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"}},{"id":"https://openalex.org/T11195","display_name":"Simulation Techniques and Applications","score":0.989799976348877,"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/applied-mathematics","display_name":"Applied mathematics","score":0.5661051869392395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5566210746765137},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.5527400970458984},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5459557771682739},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5434844493865967},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.49560678005218506},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"Stationary distribution","score":0.4733193814754486},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4628007113933563},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4551451504230499},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4261000454425812},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4239908456802368},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4229719638824463},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3702487647533417},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.263899028301239},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21408429741859436},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13592010736465454}],"concepts":[{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5661051869392395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5566210746765137},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5527400970458984},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5459557771682739},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5434844493865967},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.49560678005218506},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.4733193814754486},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4628007113933563},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4551451504230499},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4261000454425812},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4239908456802368},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4229719638824463},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3702487647533417},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.263899028301239},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21408429741859436},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13592010736465454},{"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/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/infcom.1994.337573","is_oa":false,"landing_page_url":"https://doi.org/10.1109/infcom.1994.337573","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of INFOCOM '94 Conference on Computer Communications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1535681442","https://openalex.org/W2009054375","https://openalex.org/W2009345564","https://openalex.org/W2018392493","https://openalex.org/W2028043505","https://openalex.org/W2048193114","https://openalex.org/W2049569063","https://openalex.org/W2049783264","https://openalex.org/W2103552515","https://openalex.org/W2122114728","https://openalex.org/W2131172657","https://openalex.org/W2146696974","https://openalex.org/W2157303559","https://openalex.org/W2157849938","https://openalex.org/W2230937123","https://openalex.org/W2331526196","https://openalex.org/W2336071022","https://openalex.org/W2563178574","https://openalex.org/W3174945952","https://openalex.org/W4302097244"],"related_works":["https://openalex.org/W2365647353","https://openalex.org/W4385401023","https://openalex.org/W2044363610","https://openalex.org/W2363056536","https://openalex.org/W2029548118","https://openalex.org/W2295575944","https://openalex.org/W2060911134","https://openalex.org/W2072421453","https://openalex.org/W2347400435","https://openalex.org/W2800950139"],"abstract_inverted_index":{"It":[0],"has":[1,22,27],"been":[2,28],"observed":[3,29],"by":[4],"many":[5],"authors":[6],"that":[7,74,106,137],"under":[8],"reasonable":[9],"regularity":[10],"conditions,":[11],"the":[12,50,60,63,72,78,87,95,107,113,138,141,149,153,161],"stationary":[13],"distribution":[14,139],"of":[15,36,42,53,62,77,84,119,124,140,163],"queued":[16],"work":[17],"in":[18,30,32,86,155],"a":[19,33,46,90,164],"queueing":[20],"system":[21],"an":[23],"exponential":[24],"tail.":[25,55],"This":[26],"practise":[31],"great":[34],"variety":[35],"communications":[37],"systems.":[38],"The":[39,68,145],"main":[40],"result":[41],"this":[43,54,100],"paper":[44],"is":[45,65,104,143],"general":[47],"equation":[48,96],"for":[49,58,147,152],"decay":[51,150],"coefficient":[52,151],"A":[56],"procedure":[57],"estimating":[59],"weight":[61],"tail":[64,154],"also":[66],"described.":[67],"proof":[69],"relies":[70,158],"on":[71,159],"assumption":[73,101],"future":[75],"values":[76,85],"net":[79],"input":[80,114],"process":[81,115],"are":[82,129],"independent":[83],"past":[88],"after":[89],"sufficiently":[91],"long":[92],"delay":[93],"but":[94],"does":[97],"not":[98,135],"reflect":[99],"and":[102],"it":[103],"conjectured":[105],"formula":[108],"holds":[109],"good":[110],"even":[111],"when":[112],"retains":[116],"some":[117,132],"degree":[118],"correlation":[120],"over":[121],"time":[122],"intervals":[123],"arbitrary":[125],"length.":[126],"Several":[127],"examples":[128,157],"considered":[130],"including":[131],"which":[133],"do":[134],"assume":[136],"inputs":[142],"Gaussian.":[144],"method":[146],"determining":[148],"these":[156],"finding":[160],"zero":[162],"sample":[165],"nonlinear":[166],"equation.&gt;":[167]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
