{"id":"https://openalex.org/W2085990480","doi":"https://doi.org/10.1109/tac.2012.2218145","title":"Max-Min Optimality of Service Rate Control in Closed Queueing Networks","display_name":"Max-Min Optimality of Service Rate Control in Closed Queueing Networks","publication_year":2012,"publication_date":"2012-09-12","ids":{"openalex":"https://openalex.org/W2085990480","doi":"https://doi.org/10.1109/tac.2012.2218145","mag":"2085990480"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2012.2218145","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2012.2218145","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5100646502","display_name":"Li Xia","orcid":"https://orcid.org/0000-0002-3193-7336"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Xia","raw_affiliation_strings":["Center for Intelligent and Networked Systems (CFINS), Department of Automation TNList, Tsinghua University, Beijing, China","Department of Automation, Tsinghua University, Beijing (China)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Intelligent and Networked Systems (CFINS), Department of Automation TNList, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Automation, Tsinghua University, Beijing (China)","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063215964","display_name":"Basem Shihada","orcid":"https://orcid.org/0000-0003-4434-4334"},"institutions":[{"id":"https://openalex.org/I71920554","display_name":"King Abdullah University of Science and Technology","ror":"https://ror.org/01q3tbs38","country_code":"SA","type":"education","lineage":["https://openalex.org/I71920554"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Basem Shihada","raw_affiliation_strings":["Division of Mathematical and Computer Science and Engineering, King Abdullah University for Science and Technology, Thuwal, Saudi Arabia","Div. of Math. & Comput. Sci. & Eng., King Abdullah Univ. of Sci. & Technol., Thuwal, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical and Computer Science and Engineering, King Abdullah University for Science and Technology, Thuwal, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]},{"raw_affiliation_string":"Div. of Math. & Comput. Sci. & Eng., King Abdullah Univ. of Sci. & Technol., Thuwal, Saudi Arabia","institution_ids":["https://openalex.org/I71920554"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.5872,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.95543445,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"58","issue":"4","first_page":"1051","last_page":"1056"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9991999864578247,"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":0.9991999864578247,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10138","display_name":"Network Traffic and Congestion Control","score":0.9818999767303467,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.6631737947463989},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6285750865936279},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.5691243410110474},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5594216585159302},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.5249812006950378},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.524281919002533},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4590723514556885},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4418286979198456},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.440204381942749},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4346710443496704},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33097130060195923},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2517085671424866},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16659510135650635},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.08522260189056396}],"concepts":[{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.6631737947463989},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6285750865936279},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.5691243410110474},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5594216585159302},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5249812006950378},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.524281919002533},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4590723514556885},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4418286979198456},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.440204381942749},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4346710443496704},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33097130060195923},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2517085671424866},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16659510135650635},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.08522260189056396},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2012.2218145","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2012.2218145","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:repository.kaust.edu.sa:10754/348505","is_oa":false,"landing_page_url":"http://hdl.handle.net/10754/348505","pdf_url":null,"source":{"id":"https://openalex.org/S4306401596","display_name":"King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I71920554","host_organization_name":"King Abdullah University of Science and Technology","host_organization_lineage":["https://openalex.org/I71920554"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1531253382","https://openalex.org/W1587663028","https://openalex.org/W1593494339","https://openalex.org/W1789009248","https://openalex.org/W1985016150","https://openalex.org/W1988560007","https://openalex.org/W2051876076","https://openalex.org/W2055959255","https://openalex.org/W2097849126","https://openalex.org/W2119567691","https://openalex.org/W2135232836","https://openalex.org/W2144032829","https://openalex.org/W2159295812","https://openalex.org/W2171033527","https://openalex.org/W2334782222","https://openalex.org/W2344433746","https://openalex.org/W2484957131","https://openalex.org/W2509841691","https://openalex.org/W2611866857","https://openalex.org/W4240755724","https://openalex.org/W4246747902"],"related_works":["https://openalex.org/W2900864464","https://openalex.org/W2475480881","https://openalex.org/W2121723556","https://openalex.org/W2288977275","https://openalex.org/W54727051","https://openalex.org/W2783639087","https://openalex.org/W2155956102","https://openalex.org/W2390244926","https://openalex.org/W2112820851","https://openalex.org/W2077098522"],"abstract_inverted_index":{"In":[0],"this":[1,112],"technical":[2],"note,":[3],"we":[4],"discuss":[5],"the":[6,21,31,44,63,67,81,87,95,107,114,119,130,135,146,154],"optimality":[7,120],"properties":[8],"of":[9,47,66,90,109,121],"service":[10,29,41,49,73,92,122,150],"rate":[11,42,50,74,93],"control":[12],"in":[13,124],"closed":[14,125],"Jackson":[15,126],"networks.":[16],"We":[17],"prove":[18],"that":[19,40,48],"when":[20],"cost":[22,68,82],"function":[23,69,83],"is":[24,34,75,113,141],"linear":[25],"to":[26],"a":[27,71],"particular":[28,72],"rate,":[30],"system":[32],"performance":[33,96,158],"monotonic":[35],"w.r.t.":[36,70],"(with":[37],"respect":[38],"to)":[39],"and":[43,128,148,156],"optimal":[45,88],"value":[46,89],"can":[51,100],"be":[52,101],"either":[53,102],"maximum":[54,103],"or":[55,104],"minimum":[56],"(we":[57],"call":[58],"it":[59],"Max-Min":[60],"optimality);":[61],"When":[62],"second-order":[64],"derivative":[65],"always":[76],"positive":[77],"(negative),":[78],"which":[79],"makes":[80],"strictly":[84],"convex":[85],"(concave),":[86],"such":[91],"for":[94,118,144],"maximization":[97],"(minimization)":[98],"problem":[99],"minimum.":[105],"To":[106],"best":[108],"our":[110,139],"knowledge,":[111],"most":[115],"general":[116],"result":[117,140],"rates":[123],"networks":[127],"all":[129],"previous":[131],"works":[132],"only":[133],"involve":[134],"first":[136],"conclusion.":[137],"Moreover,":[138],"also":[142],"valid":[143],"both":[145,153],"state-dependent":[147],"load-dependent":[149],"rates,":[151],"under":[152],"time-average":[155],"customer-average":[157],"criteria.":[159]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
