{"id":"https://openalex.org/W2012842286","doi":"https://doi.org/10.1214/11-aap777","title":"On optimality gaps in the Halfin\u2013Whitt regime","display_name":"On optimality gaps in the Halfin\u2013Whitt regime","publication_year":2012,"publication_date":"2012-02-01","ids":{"openalex":"https://openalex.org/W2012842286","doi":"https://doi.org/10.1214/11-aap777","mag":"2012842286"},"language":"en","primary_location":{"id":"doi:10.1214/11-aap777","doi":"https://doi.org/10.1214/11-aap777","is_oa":true,"landing_page_url":"https://doi.org/10.1214/11-aap777","pdf_url":"https://projecteuclid.org/journals/annals-of-applied-probability/volume-22/issue-1/On-optimality-gaps-in-the-HalfinWhitt-regime/10.1214/11-AAP777.pdf","source":{"id":"https://openalex.org/S9093621","display_name":"The Annals of Applied Probability","issn_l":"1050-5164","issn":["1050-5164","2168-8737"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Annals of Applied Probability","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/annals-of-applied-probability/volume-22/issue-1/On-optimality-gaps-in-the-HalfinWhitt-regime/10.1214/11-AAP777.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101807141","display_name":"Bar\u0131\u015f Ata","orcid":"https://orcid.org/0009-0001-4793-4607","observed_orcids":["https://orcid.org/0009-0001-4793-4607"]},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Baris Ata","raw_affiliation_strings":["Northwestern University","Northwestern University****"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northwestern University","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"Northwestern University****","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030941135","display_name":"Itai Gurvich","orcid":"https://orcid.org/0000-0001-9746-7755","observed_orcids":["https://orcid.org/0000-0001-9746-7755"]},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Itai Gurvich","raw_affiliation_strings":["Northwestern University","Managerial Economics, Decision Sciences and Operations"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northwestern University","institution_ids":["https://openalex.org/I111979921"]},{"raw_affiliation_string":"Managerial Economics, Decision Sciences and Operations","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I111979921"],"apc_list":null,"apc_paid":null,"fwci":2.5593,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.9010832,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"22","issue":"1","first_page":"407","last_page":"455"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9940999746322632,"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":0.9940999746322632,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.0017999999690800905,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.00039999998989515007,"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/halfin-whitt-regime","display_name":"Halfin-Whitt regime","score":0.9559999704360962},{"id":"https://openalex.org/keywords/multi-class-queues","display_name":"multi-class queues","score":0.859000027179718},{"id":"https://openalex.org/keywords/optimal-control","display_name":"optimal control","score":0.722000002861023},{"id":"https://openalex.org/keywords/optimality-gap","display_name":"optimality gap","score":0.8100000023841858},{"id":"https://openalex.org/keywords/asymptotic-optimality","display_name":"asymptotic optimality","score":0.9829999804496765}],"concepts":[{"id":"https://openalex.org/C181789720","wikidata":"https://www.wikidata.org/wiki/Q4812191","display_name":"Asymptotically optimal algorithm","level":2,"score":0.7869981527328491},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.7328861951828003},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6564042568206787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.626899003982544},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.610005259513855},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.5523645281791687},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4996492862701416},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48404616117477417},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.46675825119018555},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35766303539276123},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2665347158908844},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11373817920684814},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"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":4,"locations":[{"id":"doi:10.1214/11-aap777","doi":"https://doi.org/10.1214/11-aap777","is_oa":true,"landing_page_url":"https://doi.org/10.1214/11-aap777","pdf_url":"https://projecteuclid.org/journals/annals-of-applied-probability/volume-22/issue-1/On-optimality-gaps-in-the-HalfinWhitt-regime/10.1214/11-AAP777.pdf","source":{"id":"https://openalex.org/S9093621","display_name":"The Annals of Applied Probability","issn_l":"1050-5164","issn":["1050-5164","2168-8737"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Annals of Applied Probability","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1203.1723","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1203.1723","pdf_url":"https://arxiv.org/pdf/1203.1723","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":"pmh:oai:CULeuclid:euclid.aoap/1328623704","doi":null,"is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.aoap/1328623704","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},{"id":"doi:10.48550/arxiv.1203.1723","doi":"https://doi.org/10.48550/arxiv.1203.1723","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1203.1723","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":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1214/11-aap777","doi":"https://doi.org/10.1214/11-aap777","is_oa":true,"landing_page_url":"https://doi.org/10.1214/11-aap777","pdf_url":"https://projecteuclid.org/journals/annals-of-applied-probability/volume-22/issue-1/On-optimality-gaps-in-the-HalfinWhitt-regime/10.1214/11-AAP777.pdf","source":{"id":"https://openalex.org/S9093621","display_name":"The Annals of Applied Probability","issn_l":"1050-5164","issn":["1050-5164","2168-8737"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","dongbi-b","doyens","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Annals of Applied Probability","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2012842286.pdf","grobid_xml":"https://content.openalex.org/works/W2012842286.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W418289706","https://openalex.org/W1513091520","https://openalex.org/W1558902221","https://openalex.org/W1577527822","https://openalex.org/W1580561995","https://openalex.org/W1629501955","https://openalex.org/W1866311589","https://openalex.org/W2011786610","https://openalex.org/W2036598234","https://openalex.org/W2060954994","https://openalex.org/W2064504890","https://openalex.org/W2086743794","https://openalex.org/W2144005446","https://openalex.org/W2165037227","https://openalex.org/W2496454265","https://openalex.org/W3100912014","https://openalex.org/W3101606912","https://openalex.org/W3103538498","https://openalex.org/W4210791600"],"related_works":["https://openalex.org/W2163788280","https://openalex.org/W3148718598","https://openalex.org/W2012749513","https://openalex.org/W126238052","https://openalex.org/W2105238802","https://openalex.org/W2516555774","https://openalex.org/W2121152917","https://openalex.org/W2031618057","https://openalex.org/W1987832136","https://openalex.org/W1982803547"],"abstract_inverted_index":{"We":[0,54],"consider":[1],"optimal":[2,35,60],"control":[3,80],"of":[4,16,40,52,58,78],"a":[5,56,76],"multi-class":[6],"queue":[7],"in":[8,27],"the":[9,14,20,28,45,50,63,69,88],"Halfin\u2013Whitt":[10],"regime,":[11],"and":[12,19],"revisit":[13],"notion":[15],"asymptotic":[17],"optimality":[18,22,38,64,90],"associated":[21],"gaps.":[23,91],"The":[24],"existing":[25],"results":[26],"literature":[29],"for":[30,48],"such":[31],"systems":[32],"provide":[33],"asymptotically":[34,59],"controls":[36,61],"with":[37,68],"gaps":[39],"$o(\\sqrt{n})$":[41],"where":[42,62],"n":[43],"is":[44],"system":[46,70],"size,":[47],"example,":[49],"number":[51],"servers.":[53],"construct":[55],"sequence":[57,77],"gap":[65],"grows":[66],"logarithmically":[67],"size.":[71],"Our":[72],"analysis":[73],"relies":[74],"on":[75],"Brownian":[79],"problems,":[81],"whose":[82],"refined":[83],"structure":[84],"helps":[85],"us":[86],"achieve":[87],"improved":[89]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}
