{"id":"https://openalex.org/W2088809123","doi":"https://doi.org/10.1137/s0363012901395753","title":"Explicit Solution to a Robust Queueing Control Problem","display_name":"Explicit Solution to a Robust Queueing Control Problem","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2088809123","doi":"https://doi.org/10.1137/s0363012901395753","mag":"2088809123"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012901395753","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012901395753","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/A5010647194","display_name":"Paul Dupuis","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Paul Dupuis","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010647194"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9395,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.79306039,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"42","issue":"5","first_page":"1854","last_page":"1875"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9990000128746033,"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":0.9990000128746033,"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/T10524","display_name":"Traffic control and management","score":0.9965000152587891,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6607891321182251},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6399878859519958},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.5960246920585632},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.5768606662750244},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4974868595600128},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.48264867067337036},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4377066195011139},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4172615110874176},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.4159669876098633},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4136626720428467},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2781112492084503}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6607891321182251},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6399878859519958},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.5960246920585632},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5768606662750244},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4974868595600128},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.48264867067337036},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4377066195011139},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4172615110874176},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.4159669876098633},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4136626720428467},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2781112492084503},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/s0363012901395753","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012901395753","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:ADA461259","is_oa":false,"landing_page_url":"http://oai.dtic.mil/oai/oai?&amp;verb=getRecord&amp;metadataPrefix=html&amp;identifier=ADA461259","pdf_url":null,"source":{"id":"https://openalex.org/S4406923043","display_name":"Defense Technical Information Center (DTIC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"DTIC","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.558.3717","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.558.3717","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dam.brown.edu/lcds/publications/fulltext/2001-008.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.983.6747","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.983.6747","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dtic.mil/get-tr-doc/pdf?AD%3DADA461259%26Location%3DU2%26doc%3DGetTRDoc.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W579832045","https://openalex.org/W1487586009","https://openalex.org/W1548901797","https://openalex.org/W1579118835","https://openalex.org/W1636104188","https://openalex.org/W1966660110","https://openalex.org/W1967859758","https://openalex.org/W1973022038","https://openalex.org/W1973255061","https://openalex.org/W1979335978","https://openalex.org/W2009349041","https://openalex.org/W2035234798","https://openalex.org/W2041459929","https://openalex.org/W2055491565","https://openalex.org/W2056532936","https://openalex.org/W2059705075","https://openalex.org/W2060719719","https://openalex.org/W2063664948","https://openalex.org/W2067830577","https://openalex.org/W2102950178","https://openalex.org/W2503023465","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W1859185863","https://openalex.org/W4285537323","https://openalex.org/W2964126589","https://openalex.org/W1932159282","https://openalex.org/W4307691181","https://openalex.org/W3016225735","https://openalex.org/W1518875602","https://openalex.org/W2017412075","https://openalex.org/W2116748936","https://openalex.org/W4256290860"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,31,40,46,60,66,69,72,82],"robust":[3,18],"optimal":[4],"control":[5,19],"of":[6,9,13,87],"a":[7,14,24],"law":[8],"large":[10],"numbers":[11],"approximation":[12],"stochastic":[15],"network.":[16],"The":[17,54],"problem":[20],"is":[21,68,74,79],"formulated":[22],"as":[23,45],"differential":[25],"game,":[26],"with":[27],"one":[28],"player":[29,62],"choosing":[30,42],"policies":[32],"that":[33],"determine":[34],"service":[35,49],"and":[36,39,48,63,85],"routing":[37],"assignments":[38],"other":[41],"quantities":[43],"such":[44],"arrival":[47],"rates,":[50],"subject":[51],"to":[52,56],"constraints.":[53],"cost":[55],"be":[57],"minimized":[58],"by":[59,65],"first":[61],"maximized":[64],"second":[67],"time":[70],"until":[71],"origin":[73],"reached.":[75],"An":[76],"explicit":[77],"formula":[78],"given":[80],"for":[81],"value":[83],"function,":[84],"some":[86],"its":[88],"basic":[89],"properties":[90],"are":[91],"studied.":[92]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
