{"id":"https://openalex.org/W2792321550","doi":"https://doi.org/10.1109/tac.2018.2799576","title":"Dynamic Pricing Control for Open Queueing Networks","display_name":"Dynamic Pricing Control for Open Queueing Networks","publication_year":2018,"publication_date":"2018-01-30","ids":{"openalex":"https://openalex.org/W2792321550","doi":"https://doi.org/10.1109/tac.2018.2799576","mag":"2792321550"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2799576","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2799576","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":true,"raw_author_name":"Li Xia","raw_affiliation_strings":["Center for Intelligent and Networked Systems, Department of Automation, Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Center for Intelligent and Networked Systems, Department of Automation, Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100737951","display_name":"Sha Chen","orcid":"https://orcid.org/0000-0002-8171-4026"},"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":"Sha Chen","raw_affiliation_strings":["Center for Intelligent and Networked Systems, Department of Automation, Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Center for Intelligent and Networked Systems, Department of Automation, Tsinghua National Laboratory for Information Science and Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100646502"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":4.2043,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.93801075,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"63","issue":"10","first_page":"3290","last_page":"3300"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9993000030517578,"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":0.9993000030517578,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9861000180244446,"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"}},{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9718000292778015,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6911367177963257},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.630134105682373},{"id":"https://openalex.org/keywords/dynamic-pricing","display_name":"Dynamic pricing","score":0.5560332536697388},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.5530295968055725},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5217062830924988},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.5154572129249573},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5064812898635864},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.49381861090660095},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.47697028517723083},{"id":"https://openalex.org/keywords/conditional-expectation","display_name":"Conditional expectation","score":0.44344061613082886},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.29328906536102295},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2675383985042572},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.18365338444709778},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.17522194981575012}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6911367177963257},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.630134105682373},{"id":"https://openalex.org/C2779391423","wikidata":"https://www.wikidata.org/wiki/Q17009728","display_name":"Dynamic pricing","level":2,"score":0.5560332536697388},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5530295968055725},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5217062830924988},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5154572129249573},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5064812898635864},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.49381861090660095},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.47697028517723083},{"id":"https://openalex.org/C186215838","wikidata":"https://www.wikidata.org/wiki/Q772232","display_name":"Conditional expectation","level":2,"score":0.44344061613082886},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.29328906536102295},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2675383985042572},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.18365338444709778},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.17522194981575012},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2018.2799576","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2799576","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4000000059604645,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2712119553","display_name":null,"funder_award_id":"61573206","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5305885751","display_name":null,"funder_award_id":"U1301254","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5983507987","display_name":null,"funder_award_id":"2016YFB0901900","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G8247925721","display_name":null,"funder_award_id":"61203039","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322392","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W610904500","https://openalex.org/W1964122966","https://openalex.org/W1967835659","https://openalex.org/W1969235429","https://openalex.org/W1974307281","https://openalex.org/W1980030032","https://openalex.org/W1981762909","https://openalex.org/W1985016150","https://openalex.org/W1990110120","https://openalex.org/W2008039908","https://openalex.org/W2046211369","https://openalex.org/W2051876076","https://openalex.org/W2055959255","https://openalex.org/W2085990480","https://openalex.org/W2094480262","https://openalex.org/W2095204134","https://openalex.org/W2097849126","https://openalex.org/W2098432798","https://openalex.org/W2100951624","https://openalex.org/W2119567691","https://openalex.org/W2123120471","https://openalex.org/W2135232836","https://openalex.org/W2152664083","https://openalex.org/W2154473580","https://openalex.org/W2334782222","https://openalex.org/W2484957131","https://openalex.org/W2611866857","https://openalex.org/W2614461528"],"related_works":["https://openalex.org/W3048549205","https://openalex.org/W4306892756","https://openalex.org/W4389568284","https://openalex.org/W2173570290","https://openalex.org/W4386272992","https://openalex.org/W3120526207","https://openalex.org/W3153900688","https://openalex.org/W4301305831","https://openalex.org/W1485248950","https://openalex.org/W2790539397"],"abstract_inverted_index":{"Pricing":[0],"control":[1,13,35,147,205],"is":[2,47,69,74,105,115,148],"an":[3,17,38],"important":[4],"problem":[5,36,73,79,124],"in":[6,37,107,117],"service":[7,33,57,108],"systems":[8],"and":[9,32,54,110,144,197],"it":[10],"aims":[11],"to":[12,48,161,177,192],"customer":[14],"behaviors":[15],"through":[16],"economic":[18],"way,":[19],"instead":[20],"of":[21,128],"administrative":[22],"commands.":[23],"In":[24],"this":[25,202],"paper,":[26],"we":[27,89,120,154,188],"study":[28],"a":[29,77,81,91,126,145,174],"dynamic":[30,203],"pricing":[31,204],"rate":[34,103,113,134],"open":[39],"Jackson":[40],"network":[41],"with":[42],"limited":[43],"capacity.":[44],"The":[45,71],"goal":[46],"determine":[49,155],"the":[50,55,64,86,96,101,111,122,133,151,156,163,169,180,194],"optimal":[51,56,164],"admission":[52],"prices":[53,158],"rates":[58,109,166],"at":[59,184],"every":[60,185],"state":[61],"such":[62],"that":[63],"long-run":[65],"average":[66],"social":[67],"welfare":[68],"maximized.":[70],"original":[72],"decomposed":[75],"into":[76,125],"rate-setting":[78,87,123,170],"plus":[80],"price-setting":[82,152],"problem.":[83,171,206],"To":[84],"solve":[85],"problem,":[88,153],"derive":[90],"difference":[92],"formula":[93],"based":[94],"on":[95],"sensitivity-based":[97],"optimization":[98,130],"theory.":[99],"When":[100,132],"cost":[102],"function":[104,114],"convex":[106,129],"value":[112],"concave":[116],"arrival":[118,165],"rates,":[119],"decompose":[121],"series":[127],"subproblems.":[131],"functions":[135],"have":[136],"linear":[137],"structure,":[138],"these":[139],"subproblems":[140],"are":[141],"even":[142],"simpler":[143],"bang-bang":[146],"optimal.":[149],"For":[150],"state-dependent":[157],"so":[159],"as":[160],"induce":[162],"obtained":[167],"by":[168],"We":[172],"propose":[173],"recursive":[175],"algorithm":[176],"numerically":[178],"compute":[179],"conditional":[181],"expected":[182],"delays":[183],"state.":[186],"Finally,":[187],"conduct":[189],"numerical":[190],"experiments":[191],"explore":[193],"optimality":[195],"properties":[196],"some":[198],"useful":[199],"insights":[200],"for":[201]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
