{"id":"https://openalex.org/W2321075975","doi":"https://doi.org/10.1017/s0021900200097321","title":"A diffusion approximation for correlation in queues","display_name":"A diffusion approximation for correlation in queues","publication_year":1980,"publication_date":"1980-12-01","ids":{"openalex":"https://openalex.org/W2321075975","doi":"https://doi.org/10.1017/s0021900200097321","mag":"2321075975"},"language":"en","primary_location":{"id":"doi:10.1017/s0021900200097321","doi":"https://doi.org/10.1017/s0021900200097321","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0021900200097321","pdf_url":null,"source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-1","norway-2","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5046105444","display_name":"C. Murray Woodside","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"C. M. Woodside","raw_affiliation_strings":["Carleton University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carleton University","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111454860","display_name":"Bernard Pagurek","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"B. Pagurek","raw_affiliation_strings":["Carleton University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carleton University","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114002803","display_name":"Gordon Frank Newell","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"G. F. Newell","raw_affiliation_strings":["University of California"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California","institution_ids":["https://openalex.org/I2803209242"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5046105444","https://openalex.org/A5111454860","https://openalex.org/A5114002803"],"corresponding_institution_ids":["https://openalex.org/I2803209242","https://openalex.org/I67031392"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.3815654,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":92},"biblio":{"volume":"17","issue":"04","first_page":"1033","last_page":"1047"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9994999766349792,"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/T13500","display_name":"Probability and Statistical Research","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.0,"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/diffusion-approximation","display_name":"diffusion approximation","score":0.9269999861717224},{"id":"https://openalex.org/keywords/queueing-systems","display_name":"queueing systems","score":0.7839999794960022},{"id":"https://openalex.org/keywords/autocorrelation-function","display_name":"autocorrelation function","score":0.9610000252723694},{"id":"https://openalex.org/keywords/heavy-traffic-approximation","display_name":"heavy-traffic approximation","score":0.7269999980926514},{"id":"https://openalex.org/keywords/gi-g-1-queue","display_name":"GI/G/1 queue","score":0.8889999985694885},{"id":"https://openalex.org/keywords/m-m-1-queue","display_name":"M/M/1 queue","score":0.9860000014305115},{"id":"https://openalex.org/keywords/waiting-time","display_name":"waiting time","score":0.902999997138977},{"id":"https://openalex.org/keywords/system-time","display_name":"system time","score":0.9940000176429749},{"id":"https://openalex.org/keywords/unfinished-works","display_name":"unfinished works","score":0.9980000257492065},{"id":"https://openalex.org/keywords/power-spectrum","display_name":"power spectrum","score":0.921999990940094}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8104261755943298},{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.6771976351737976},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6309086084365845},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5012083053588867},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.48238053917884827},{"id":"https://openalex.org/C193290586","wikidata":"https://www.wikidata.org/wiki/Q17022030","display_name":"Heavy traffic approximation","level":2,"score":0.42826563119888306},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42432814836502075},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4135250449180603},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.344206839799881},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33126235008239746},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08592113852500916},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0021900200097321","doi":"https://doi.org/10.1017/s0021900200097321","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0021900200097321","pdf_url":null,"source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-1","norway-2","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"},{"id":"doi:10.2307/3213213","doi":"https://doi.org/10.2307/3213213","is_oa":false,"landing_page_url":"https://doi.org/10.2307/3213213","pdf_url":null,"source":{"id":"https://openalex.org/S160779208","display_name":"Journal of Applied Probability","issn_l":"0021-9002","issn":["0021-9002","1475-6072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-1","norway-2","poland-70","russia-white-list-3"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Probability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W232298861","https://openalex.org/W567438839","https://openalex.org/W1973632400","https://openalex.org/W1975348048","https://openalex.org/W2008277869","https://openalex.org/W2016968920","https://openalex.org/W2043873864","https://openalex.org/W2057616323","https://openalex.org/W2091469845","https://openalex.org/W2095817904","https://openalex.org/W2103954189","https://openalex.org/W2119557964","https://openalex.org/W2120062331","https://openalex.org/W2132887128","https://openalex.org/W2165136119","https://openalex.org/W2170647851","https://openalex.org/W2313312078","https://openalex.org/W2319531693","https://openalex.org/W2486472695","https://openalex.org/W2606292975","https://openalex.org/W2802516687","https://openalex.org/W4230040658"],"related_works":["https://openalex.org/W2005880443","https://openalex.org/W2320139491","https://openalex.org/W251754194","https://openalex.org/W1966048041","https://openalex.org/W2013582597","https://openalex.org/W7128441153","https://openalex.org/W7098824775","https://openalex.org/W2904972958","https://openalex.org/W2048144767","https://openalex.org/W1977475362"],"abstract_inverted_index":{"A":[0,30],"diffusion":[1,113],"model":[2],"is":[3,32,56,118],"used":[4],"to":[5,107],"find":[6],"heavy":[7],"traffic":[8],"approximate":[9,76],"autocorrelation":[10],"functions":[11],"for":[12,19,41,86,120,125],"several":[13],"variables":[14],"in":[15,25,44,68,96,122],"queueing":[16],"systems":[17],"(i.e.":[18],"waiting":[20,87,126],"time,":[21,23],"system":[22,26,90,97,123],"number":[24,95,121],"and":[27,59,77,80,89],"unfinished":[28],"work).":[29],"table":[31],"given":[33],"by":[34,112],"which":[35],"correlations":[36,79,103],"can":[37],"easily":[38],"be":[39],"found":[40,111],"each":[42],"variable":[43],"anyGI/G/1":[45],"queue.":[46],"Further,":[47],"the":[48,54,60,102,108],"infinite":[49],"sum":[50,65],"or":[51],"integral":[52],"of":[53,71,75],"autocorrelations":[55],"also":[57,93],"found,":[58],"spectral":[61],"density":[62],"function.":[63],"The":[64,115],"has":[66],"applications":[67],"statistical":[69],"analysis":[70],"queues.":[72,99],"Extensive":[73],"comparisons":[74],"exact":[78],"their":[81],"sums":[82],"are":[83],"reported,":[84],"particularly":[85],"times":[88],"times,":[91],"but":[92],"including":[94],"inM/M/1":[98],"In":[100],"general":[101],"have":[104],"similar":[105],"accuracy":[106],"probability":[109],"distributions":[110],"approximations.":[114],"percentage":[116],"error":[117],"less":[119],"than":[124],"time.":[127]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-06-24T00:00:00"}
