{"id":"https://openalex.org/W4408285106","doi":"https://doi.org/10.1145/3711703","title":"Steady-State Convergence of the Continuous-Time Routing System with General Distributions in Heavy Traffic","display_name":"Steady-State Convergence of the Continuous-Time Routing System with General Distributions in Heavy Traffic","publication_year":2025,"publication_date":"2025-03-06","ids":{"openalex":"https://openalex.org/W4408285106","doi":"https://doi.org/10.1145/3711703"},"language":"en","primary_location":{"id":"doi:10.1145/3711703","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3711703","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3711703","source":{"id":"https://openalex.org/S4210193547","display_name":"Proceedings of the ACM on Measurement and Analysis of Computing Systems","issn_l":"2476-1249","issn":["2476-1249"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Measurement and Analysis of Computing Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3711703","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101954368","display_name":"Guang Jin","orcid":"https://orcid.org/0009-0008-5519-3424"},"institutions":[{"id":"https://openalex.org/I4210116924","display_name":"Chinese University of Hong Kong, Shenzhen","ror":"https://ror.org/02d5ks197","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633","https://openalex.org/I180726961","https://openalex.org/I4210116924"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin Guang","raw_affiliation_strings":["The Chinese University of Hong Kong, Shenzhen, Shenzhen, Guangdong, China"],"raw_orcid":"https://orcid.org/0009-0008-5519-3424","affiliations":[{"raw_affiliation_string":"The Chinese University of Hong Kong, Shenzhen, Shenzhen, Guangdong, China","institution_ids":["https://openalex.org/I4210116924"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004875764","display_name":"Yaosheng Xu","orcid":"https://orcid.org/0000-0002-2187-7157"},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yaosheng Xu","raw_affiliation_strings":["University of Chicago, Chicago, Illinois, USA"],"raw_orcid":"https://orcid.org/0000-0002-2187-7157","affiliations":[{"raw_affiliation_string":"University of Chicago, Chicago, Illinois, USA","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035737339","display_name":"J. G. Dai","orcid":"https://orcid.org/0000-0002-5223-0129"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. G. Dai","raw_affiliation_strings":["Cornell University, Ithaca, New York, USA"],"raw_orcid":"https://orcid.org/0000-0002-5223-0129","affiliations":[{"raw_affiliation_string":"Cornell University, Ithaca, New York, USA","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6336,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82232527,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"9","issue":"1","first_page":"1","last_page":"29"},"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/T10138","display_name":"Network Traffic and Congestion Control","score":0.992900013923645,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/convergence","display_name":"Convergence (economics)","score":0.7048034071922302},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.47655871510505676},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.45214515924453735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44357171654701233},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.43791621923446655},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.3761792480945587},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.34617879986763},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34105032682418823},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32570338249206543},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23129019141197205},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.20210033655166626},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16498428583145142},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.15211081504821777},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.08229145407676697}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.7048034071922302},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.47655871510505676},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.45214515924453735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44357171654701233},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.43791621923446655},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.3761792480945587},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.34617879986763},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34105032682418823},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32570338249206543},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23129019141197205},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.20210033655166626},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16498428583145142},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.15211081504821777},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.08229145407676697},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3711703","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3711703","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3711703","source":{"id":"https://openalex.org/S4210193547","display_name":"Proceedings of the ACM on Measurement and Analysis of Computing Systems","issn_l":"2476-1249","issn":["2476-1249"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Measurement and Analysis of Computing Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3711703","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3711703","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3711703","source":{"id":"https://openalex.org/S4210193547","display_name":"Proceedings of the ACM on Measurement and Analysis of Computing Systems","issn_l":"2476-1249","issn":["2476-1249"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Measurement and Analysis of Computing Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4408285106.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1576140702","https://openalex.org/W1883705886","https://openalex.org/W1968395113","https://openalex.org/W1997049009","https://openalex.org/W2004130186","https://openalex.org/W2011786610","https://openalex.org/W2027273107","https://openalex.org/W2064823719","https://openalex.org/W2106760367","https://openalex.org/W2117702591","https://openalex.org/W2162884889","https://openalex.org/W2214421387","https://openalex.org/W2729376933","https://openalex.org/W2790100495","https://openalex.org/W2793085414","https://openalex.org/W2901288656","https://openalex.org/W2950216400","https://openalex.org/W3015713752","https://openalex.org/W3042854811","https://openalex.org/W3101601770","https://openalex.org/W3101682235","https://openalex.org/W3135443805","https://openalex.org/W3194769573","https://openalex.org/W4226392070","https://openalex.org/W4310251539","https://openalex.org/W4387523438","https://openalex.org/W4388011865","https://openalex.org/W4390436992","https://openalex.org/W4391101708","https://openalex.org/W4392093808","https://openalex.org/W4396579551"],"related_works":["https://openalex.org/W1599920801","https://openalex.org/W1517908938","https://openalex.org/W3110061564","https://openalex.org/W2281834912","https://openalex.org/W1489941249","https://openalex.org/W3123492739","https://openalex.org/W4320486059","https://openalex.org/W2494168571","https://openalex.org/W1993871324","https://openalex.org/W2033096984"],"abstract_inverted_index":{"This":[0],"paper":[1],"examines":[2],"a":[3,25,51,96],"continuous-time":[4],"routing":[5],"system":[6],"with":[7,78],"general":[8],"interarrival":[9,74],"and":[10,75],"service":[11,76],"time":[12],"distributions,":[13],"operating":[14],"under":[15,63],"either":[16],"the":[17,21,35,40,64,67,73,86,90],"join-the-shortest-queue":[18],"policy":[19],"or":[20],"power-of-two-choices":[22],"policy.":[23],"Under":[24],"weaker":[26],"set":[27],"of":[28,66,89],"assumptions":[29],"than":[30],"those":[31],"commonly":[32],"established":[33],"in":[34,56],"literature,":[36],"we":[37],"prove":[38],"that":[39],"scaled":[41],"steady-state":[42],"queue":[43],"length":[44],"at":[45],"each":[46],"station":[47],"converges":[48],"weakly":[49],"to":[50],"common":[52],"exponential":[53],"random":[54],"variable":[55],"heavy":[57],"traffic.":[58],"Specifically,":[59],"our":[60],"results":[61],"hold":[62],"assumption":[65],"(2":[68],"+":[69],"\u03b5)th":[70],"moment":[71],"for":[72],"distributions":[77],"some":[79],"\u03b5":[80],"&gt;":[81],"0.":[82],"The":[83],"proof":[84],"leverages":[85],"Palm":[87],"version":[88],"basic":[91],"adjoint":[92],"relationship":[93],"(BAR)":[94],"as":[95],"key":[97],"technique.":[98]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
