{"id":"https://openalex.org/W2051642345","doi":"https://doi.org/10.1137/09077463x","title":"Ergodic Rate Control Problem for Single Class Queueing Networks","display_name":"Ergodic Rate Control Problem for Single Class Queueing Networks","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2051642345","doi":"https://doi.org/10.1137/09077463x","mag":"2051642345"},"language":"en","primary_location":{"id":"doi:10.1137/09077463x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/09077463x","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","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/A5067048881","display_name":"Amarjit Budhiraja","orcid":"https://orcid.org/0000-0002-7912-5433"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Amarjit Budhiraja","raw_affiliation_strings":["Statistics and Operations Research"],"affiliations":[{"raw_affiliation_string":"Statistics and Operations Research","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073581499","display_name":"Arka P. Ghosh","orcid":"https://orcid.org/0000-0002-6598-7788"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arka P. Ghosh","raw_affiliation_strings":["Iowa State University"],"affiliations":[{"raw_affiliation_string":"Iowa State University","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039680680","display_name":"Chihoon Lee","orcid":"https://orcid.org/0000-0001-5448-2787"},"institutions":[{"id":"https://openalex.org/I92446798","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17","country_code":"US","type":"education","lineage":["https://openalex.org/I92446798"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chihoon Lee","raw_affiliation_strings":["COLORADO STATE UNIVERSITY"],"affiliations":[{"raw_affiliation_string":"COLORADO STATE UNIVERSITY","institution_ids":["https://openalex.org/I92446798"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5067048881"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.731,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.92607087,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"49","issue":"4","first_page":"1570","last_page":"1606"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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/T13553","display_name":"Age of Information Optimization","score":0.9776999950408936,"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":0.9595999717712402,"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/ergodic-theory","display_name":"Ergodic theory","score":0.6641196608543396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6590057611465454},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.6521642208099365},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.5185456871986389},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5019464492797852},{"id":"https://openalex.org/keywords/network-congestion","display_name":"Network congestion","score":0.4968302547931671},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.49276211857795715},{"id":"https://openalex.org/keywords/layered-queueing-network","display_name":"Layered queueing network","score":0.48832985758781433},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4473237693309784},{"id":"https://openalex.org/keywords/large-deviations-theory","display_name":"Large deviations theory","score":0.4448963701725006},{"id":"https://openalex.org/keywords/heavy-traffic-approximation","display_name":"Heavy traffic approximation","score":0.42422983050346375},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3734245300292969},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.362213671207428},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2001723051071167},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18854159116744995},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14879804849624634},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13897189497947693},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.11274084448814392},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.10634365677833557}],"concepts":[{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.6641196608543396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6590057611465454},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.6521642208099365},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.5185456871986389},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5019464492797852},{"id":"https://openalex.org/C195563490","wikidata":"https://www.wikidata.org/wiki/Q180368","display_name":"Network congestion","level":3,"score":0.4968302547931671},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.49276211857795715},{"id":"https://openalex.org/C33891772","wikidata":"https://www.wikidata.org/wiki/Q6505536","display_name":"Layered queueing network","level":3,"score":0.48832985758781433},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4473237693309784},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.4448963701725006},{"id":"https://openalex.org/C193290586","wikidata":"https://www.wikidata.org/wiki/Q17022030","display_name":"Heavy traffic approximation","level":2,"score":0.42422983050346375},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3734245300292969},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.362213671207428},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2001723051071167},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18854159116744995},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14879804849624634},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13897189497947693},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.11274084448814392},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.10634365677833557},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/09077463x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/09077463x","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.160.2796","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.160.2796","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.unc.edu/depts/statistics/faculty/amarjit/pdffile/erc.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.510.632","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.510.632","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.stat.colostate.edu/~chihoon/ergodic-control.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.517.2157","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.517.2157","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.public.iastate.edu/~apghosh/files/ergodic-control_BGL_08.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.606.9500","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.606.9500","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.unc.edu/~budhiraj/amarjit/pdffile/BuGhLe.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2757556538","display_name":null,"funder_award_id":"W911NF-10-1-0158","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G334368746","display_name":null,"funder_award_id":"W911NF-0-1-0080","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G6951094764","display_name":"Scaling Limits for some Stochastic Control Problems with Applications to Stochastic Networks","funder_award_id":"1004418","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8998121839","display_name":null,"funder_award_id":"911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W206086817","https://openalex.org/W592153361","https://openalex.org/W1481623596","https://openalex.org/W1523471994","https://openalex.org/W1594563152","https://openalex.org/W1995713768","https://openalex.org/W2004238000","https://openalex.org/W2011720124","https://openalex.org/W2014259563","https://openalex.org/W2017032949","https://openalex.org/W2018298292","https://openalex.org/W2037268765","https://openalex.org/W2041459929","https://openalex.org/W2044770455","https://openalex.org/W2063664948","https://openalex.org/W2073724897","https://openalex.org/W2080554766","https://openalex.org/W2083699793","https://openalex.org/W2093127080","https://openalex.org/W2167531897","https://openalex.org/W2168676373","https://openalex.org/W2802739963","https://openalex.org/W3102433272"],"related_works":["https://openalex.org/W2063939770","https://openalex.org/W2026393453","https://openalex.org/W2363197464","https://openalex.org/W2073192532","https://openalex.org/W3158340190","https://openalex.org/W2038297717","https://openalex.org/W4244027475","https://openalex.org/W1590429561","https://openalex.org/W2096425942","https://openalex.org/W108961410"],"abstract_inverted_index":{"We":[0,149],"consider":[1],"critically":[2],"loaded":[3],"single":[4],"class":[5],"queueing":[6,110],"networks":[7,35],"with":[8,36],"infinite":[9,171],"buffers":[10],"in":[11,123,179,201],"which":[12],"arrival":[13],"and":[14,23,130,181,195],"service":[15],"rates":[16],"are":[17,145,177],"state":[18],"(i.e.,":[19,50],"queue":[20,157,189],"length)":[21],"dependent":[22],"may":[24],"be":[25,96],"dynamically":[26],"controlled.":[27],"An":[28],"optimal":[29,89,102,215],"rate":[30,58,103],"control":[31,59,77,104,133,180,221],"problem":[32,60,78],"for":[33,61,79,91,106,136,186,218],"such":[34],"an":[37,75,126],"ergodic":[38,76],"cost":[39,114,129,134],"criterion":[40,118],"is":[41,44,121,209],"studied.":[42],"It":[43],"shown":[45],"that":[46,73,87,161,176],"the":[47,54,57,62,107,163,182,187,202,210,219],"value":[48,52,207],"function":[49],"optimum":[51],"of":[53,56,74,125,140,152,155,162,198,204,206,212],"cost)":[55],"network":[63],"converges,":[64],"under":[65],"a":[66,131,141,196],"suitable":[67],"heavy":[68,183],"traffic":[69,184],"scaling":[70],"limit,":[71],"to":[72,98,160],"certain":[80],"controlled":[81],"reflected":[82],"diffusions.":[83,166],"Furthermore,":[84],"we":[85],"show":[86],"near":[88,101,214],"controls":[90,217],"limit":[92,164],"diffusion":[93,220],"models":[94],"can":[95],"used":[97],"construct":[99],"asymptotically":[100],"policies":[105],"underlying":[108],"physical":[109],"networks.":[111],"The":[112],"expected":[113],"per":[115],"unit":[116],"time":[117,172],"studied":[119,146],"here":[120],"given":[122],"terms":[124],"unbounded":[127],"holding":[128],"linear":[132],"(\u201ccost":[135],"effort\u201d).":[137],"Time":[138],"asymptotics":[139],"related":[142],"uncontrolled":[143],"model":[144],"as":[147],"well.":[148],"establish":[150],"convergence":[151,205],"invariant":[153],"measures":[154],"scaled":[156,188],"length":[158,190],"processes":[159],"reflecting":[165],"Our":[167],"proofs":[168],"rely":[169],"on":[170],"horizon":[173],"stability":[174],"estimates":[175],"uniform":[178],"parameter,":[185],"processes.":[191],"Another":[192],"key":[193],"ingredient,":[194],"result":[197],"independent":[199],"interest,":[200],"proof":[203],"functions":[208],"existence":[211],"continuous":[213],"feedback":[216],"model.":[222]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-11T08:14:18.477133","created_date":"2025-10-10T00:00:00"}
