{"id":"https://openalex.org/W2776866394","doi":"https://doi.org/10.1017/apr.2019.11","title":"New perspectives on the Erlang-A queue","display_name":"New perspectives on the Erlang-A queue","publication_year":2019,"publication_date":"2019-03-01","ids":{"openalex":"https://openalex.org/W2776866394","doi":"https://doi.org/10.1017/apr.2019.11","mag":"2776866394"},"language":"en","primary_location":{"id":"doi:10.1017/apr.2019.11","doi":"https://doi.org/10.1017/apr.2019.11","is_oa":false,"landing_page_url":"https://doi.org/10.1017/apr.2019.11","pdf_url":null,"source":{"id":"https://openalex.org/S180803011","display_name":"Advances in Applied Probability","issn_l":"0001-8678","issn":["0001-8678","1475-6064"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-2","norway-2","poland-70","russia-white-list-3","vabb-shw"],"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":"Advances in Applied Probability","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1712.08445","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Andrew Daw","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andrew Daw","raw_affiliation_strings":["Cornell University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cornell University","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011271976","display_name":"Jamol J. Pender","orcid":"https://orcid.org/0000-0002-5418-6918","observed_orcids":["https://orcid.org/0000-0002-5418-6918"]},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jamol Pender","raw_affiliation_strings":["Cornell University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cornell University","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011271976"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":2.3286,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.89156987,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"51","issue":"01","first_page":"268","last_page":"299"},"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/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":0.9994999766349792,"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":0.0,"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"}},{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multi-server-queues","display_name":"multi-server queues","score":0.8029999732971191},{"id":"https://openalex.org/keywords/customer-abandonment","display_name":"customer abandonment","score":0.949999988079071},{"id":"https://openalex.org/keywords/moment-generating-function","display_name":"moment generating function","score":0.9959999918937683},{"id":"https://openalex.org/keywords/cumulant-generating-function","display_name":"cumulant generating function","score":1.0},{"id":"https://openalex.org/keywords/approximation-bounds","display_name":"approximation bounds","score":0.7789999842643738},{"id":"https://openalex.org/keywords/stability-conditions","display_name":"stability conditions","score":0.5479999780654907}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7059999704360962},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.6502000093460083},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.6122000217437744},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.5799999833106995},{"id":"https://openalex.org/C33891772","wikidata":"https://www.wikidata.org/wiki/Q6505536","display_name":"Layered queueing network","level":3,"score":0.5252000093460083},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.5206999778747559},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.5192999839782715},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5097000002861023},{"id":"https://openalex.org/C87950461","wikidata":"https://www.wikidata.org/wiki/Q4996486","display_name":"Bulk queue","level":3,"score":0.4731000065803528},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.43779999017715454},{"id":"https://openalex.org/C66295387","wikidata":"https://www.wikidata.org/wiki/Q4998912","display_name":"Burke's theorem","level":5,"score":0.4374000132083893},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.3901999890804291},{"id":"https://openalex.org/C172686274","wikidata":"https://www.wikidata.org/wiki/Q746007","display_name":"Cumulant","level":2,"score":0.37229999899864197},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.35899999737739563},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34150001406669617},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.33820000290870667},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.3156999945640564},{"id":"https://openalex.org/C129978463","wikidata":"https://www.wikidata.org/wiki/Q6803663","display_name":"Mean value analysis","level":4,"score":0.3061999976634979},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30070000886917114},{"id":"https://openalex.org/C124444977","wikidata":"https://www.wikidata.org/wiki/Q4025962","display_name":"Fork\u2013join queue","level":4,"score":0.296999990940094},{"id":"https://openalex.org/C2986422491","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing system","level":3,"score":0.295199990272522},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.2944999933242798},{"id":"https://openalex.org/C2984679396","wikidata":"https://www.wikidata.org/wiki/Q7602986","display_name":"State dependent","level":2,"score":0.28439998626708984},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.27570000290870667},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.27129998803138733},{"id":"https://openalex.org/C193290586","wikidata":"https://www.wikidata.org/wiki/Q17022030","display_name":"Heavy traffic approximation","level":2,"score":0.2639999985694885},{"id":"https://openalex.org/C195579931","wikidata":"https://www.wikidata.org/wiki/Q3623548","display_name":"Applied probability","level":2,"score":0.26190000772476196},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.25209999084472656}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1017/apr.2019.11","doi":"https://doi.org/10.1017/apr.2019.11","is_oa":false,"landing_page_url":"https://doi.org/10.1017/apr.2019.11","pdf_url":null,"source":{"id":"https://openalex.org/S180803011","display_name":"Advances in Applied Probability","issn_l":"0001-8678","issn":["0001-8678","1475-6064"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-c","doyens","jufo-2","norway-2","poland-70","russia-white-list-3","vabb-shw"],"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":"Advances in Applied Probability","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1712.08445","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1712.08445","pdf_url":"https://arxiv.org/pdf/1712.08445","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},{"id":"doi:10.48550/arxiv.1712.08445","doi":"https://doi.org/10.48550/arxiv.1712.08445","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1712.08445","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1712.08445","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1712.08445","pdf_url":"https://arxiv.org/pdf/1712.08445","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2776866394.pdf","grobid_xml":"https://content.openalex.org/works/W2776866394.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W49236231","https://openalex.org/W1530547384","https://openalex.org/W1593035888","https://openalex.org/W1680304211","https://openalex.org/W1824111287","https://openalex.org/W1969122212","https://openalex.org/W1971170413","https://openalex.org/W1973351187","https://openalex.org/W1992236404","https://openalex.org/W1995245183","https://openalex.org/W2011786610","https://openalex.org/W2017221304","https://openalex.org/W2023263624","https://openalex.org/W2033904104","https://openalex.org/W2039698234","https://openalex.org/W2057684138","https://openalex.org/W2059852162","https://openalex.org/W2064226094","https://openalex.org/W2067116704","https://openalex.org/W2068772908","https://openalex.org/W2073639377","https://openalex.org/W2080417954","https://openalex.org/W2083089928","https://openalex.org/W2085105035","https://openalex.org/W2096898792","https://openalex.org/W2121290337","https://openalex.org/W2125491423","https://openalex.org/W2144005446","https://openalex.org/W2147191706","https://openalex.org/W2165476561","https://openalex.org/W2168136599","https://openalex.org/W2274700538","https://openalex.org/W2515550076","https://openalex.org/W2563565296","https://openalex.org/W2597076664","https://openalex.org/W2738296272","https://openalex.org/W2759162801","https://openalex.org/W2793420711","https://openalex.org/W2802633867","https://openalex.org/W2951186535","https://openalex.org/W2964136258"],"related_works":["https://openalex.org/W2147191706","https://openalex.org/W2051591510","https://openalex.org/W2139767570","https://openalex.org/W2518940928","https://openalex.org/W2802633867","https://openalex.org/W2118772820","https://openalex.org/W2091018416","https://openalex.org/W2324123901","https://openalex.org/W2017430983","https://openalex.org/W2806720466"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"nonstationary":[2,108],"Erlang-A":[3],"queue":[4],"is":[5,11],"a":[6],"fundamental":[7],"queueing":[8,112],"model":[9],"that":[10,23,81,100],"used":[12],"to":[13,44,98],"describe":[14],"the":[15,53,58,68,74],"dynamic":[16],"behavior":[17],"of":[18,46,70],"large-scale":[19],"multiserver":[20],"service":[21],"systems":[22],"may":[24],"experience":[25],"customer":[26],"abandonments,":[27],"such":[28],"as":[29,88],"call":[30],"centers,":[31],"hospitals,":[32],"and":[33,49,57,73,103,110],"urban":[34],"mobility":[35],"systems.":[36],"In":[37],"this":[38],"paper":[39],"we":[40,79,94],"develop":[41],"novel":[42],"approximations":[43,72,83,102],"all":[45],"its":[47],"transient":[48],"steady":[50],"state":[51],"moments,":[52],"moment":[54],"generating":[55,60],"function,":[56],"cumulant":[59],"function.":[61],"We":[62],"also":[63,96,105],"provide":[64],"precise":[65],"bounds":[66,104],"for":[67,107],"difference":[69],"our":[71,82,101],"true":[75],"model.":[76],"More":[77],"importantly,":[78],"show":[80,99],"have":[84],"explicit":[85],"stochastic":[86],"representations":[87],"shifted":[89],"Poisson":[90],"random":[91],"variables.":[92],"Moreover,":[93],"are":[95],"able":[97],"hold":[106],"Erlang-B":[109],"Erlang-C":[111],"models":[113],"under":[114],"certain":[115],"stability":[116],"conditions.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2018-01-05T00:00:00"}
