{"id":"https://openalex.org/W2075135761","doi":"https://doi.org/10.1145/2021216.2021233","title":"The geometric and subgeometric convergence rates of the <i>E</i> <sub> <i>k</i> </sub> / <i>G</i> /1 queueing system","display_name":"The geometric and subgeometric convergence rates of the <i>E</i> <sub> <i>k</i> </sub> / <i>G</i> /1 queueing system","publication_year":2011,"publication_date":"2011-08-23","ids":{"openalex":"https://openalex.org/W2075135761","doi":"https://doi.org/10.1145/2021216.2021233","mag":"2075135761"},"language":"en","primary_location":{"id":"doi:10.1145/2021216.2021233","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2021216.2021233","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th International Conference on Queueing Theory and Network Applications","raw_type":"proceedings-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/A5101482100","display_name":"Xiaohua Li","orcid":"https://orcid.org/0000-0001-5837-2470"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaohua Li","raw_affiliation_strings":["Beijing University of Posts and Telecommunications, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101482100"],"corresponding_institution_ids":["https://openalex.org/I139759216"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20843132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"116","last_page":"121"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11720","display_name":"Probability and Risk Models","score":0.9959999918937683,"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/rate-of-convergence","display_name":"Rate of convergence","score":0.7038900852203369},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.678093433380127},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6473228931427002},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4309879541397095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4256502389907837},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26953059434890747},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14400243759155273},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.08398324251174927}],"concepts":[{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.7038900852203369},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.678093433380127},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6473228931427002},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4309879541397095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4256502389907837},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26953059434890747},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14400243759155273},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.08398324251174927},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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":1,"locations":[{"id":"doi:10.1145/2021216.2021233","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2021216.2021233","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th International Conference on Queueing Theory and Network Applications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1547388036","https://openalex.org/W1558273676","https://openalex.org/W1578290673","https://openalex.org/W1964394336","https://openalex.org/W1995713768","https://openalex.org/W2023503064","https://openalex.org/W2024249953","https://openalex.org/W2025947136","https://openalex.org/W2028493795","https://openalex.org/W2030019188","https://openalex.org/W2080004361","https://openalex.org/W2084953463","https://openalex.org/W2111736536","https://openalex.org/W2125734661","https://openalex.org/W2130474426","https://openalex.org/W2140014834","https://openalex.org/W2147848695","https://openalex.org/W2147922136","https://openalex.org/W2327654614","https://openalex.org/W2357846913","https://openalex.org/W3100144410","https://openalex.org/W4237142838","https://openalex.org/W4246169471","https://openalex.org/W4247185155","https://openalex.org/W6657871911"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1963802308","https://openalex.org/W4226153041","https://openalex.org/W3214543110","https://openalex.org/W2009166380"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"the":[5,9,14,22,35,39,46,50,55,73,86],"workload":[6],"process":[7],"of":[8,27,42,49,68,85],"Ek/G/1":[10],"queueing":[11],"system":[12],"by":[13],"supplementary":[15],"variable":[16],"approach.":[17],"The":[18],"explicit":[19],"criteria":[20],"for":[21,38,45,54,72],"geometric":[23,40,47],"and":[24,70],"subgeometric":[25,57,74],"rate":[26,41,56,58],"convergence":[28,69],"are":[29],"obtained.":[30],"We":[31],"shall":[32],"also":[33],"give":[34],"parameters:":[36],"\u03b50":[37],"convergence,":[43],"s0":[44],"decay":[48,84],"stationary":[51,87],"tail,":[52],"\u03b51":[53],"r(n)":[59],"=":[60,76],"exp(sn1/1+\u03b1),":[61],"\u03b1":[62,78],">":[63,66,79,82],"0,":[64,80],"s":[65,81],"0":[67,83],"s1":[71],"r(x)":[75],"exp(sx1/1+\u03b1),":[77],"tail.":[88]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
