{"id":"https://openalex.org/W2084350731","doi":"https://doi.org/10.1007/s11134-009-9130-0","title":"On the stationary distribution of queue lengths in\u00a0a\u00a0multi-class priority queueing system with customer transfers","display_name":"On the stationary distribution of queue lengths in\u00a0a\u00a0multi-class priority queueing system with customer transfers","publication_year":2009,"publication_date":"2009-07-01","ids":{"openalex":"https://openalex.org/W2084350731","doi":"https://doi.org/10.1007/s11134-009-9130-0","mag":"2084350731"},"language":"en","primary_location":{"id":"doi:10.1007/s11134-009-9130-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11134-009-9130-0","pdf_url":null,"source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","1572-9443"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","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/A5016797934","display_name":"Jingui Xie","orcid":"https://orcid.org/0000-0003-4100-2339"},"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":"Jingui Xie","raw_affiliation_strings":["Department of Industrial Engineering, Tsinghua University, Beijing, 100084, People\u2019s Republic of China","Department of Industrial Engineering, Tsinghua University, Beijing, People's Republic of China 100084"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Tsinghua University, Beijing, 100084, People\u2019s Republic of China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Industrial Engineering, Tsinghua University, Beijing, People's Republic of China 100084","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026658701","display_name":"Qi\u2010Ming He","orcid":"https://orcid.org/0000-0003-2381-3242"},"institutions":[{"id":"https://openalex.org/I129902397","display_name":"Dalhousie University","ror":"https://ror.org/01e6qks80","country_code":"CA","type":"education","lineage":["https://openalex.org/I129902397"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Qi-Ming He","raw_affiliation_strings":["Department of Industrial Engineering, Dalhousie University, Halifax, NS, B3J 2X4, Canada","Department of Industrial Engineering, Dalhousie University, Halifax, Canada B3J 2X4#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Dalhousie University, Halifax, NS, B3J 2X4, Canada","institution_ids":["https://openalex.org/I129902397"]},{"raw_affiliation_string":"Department of Industrial Engineering, Dalhousie University, Halifax, Canada B3J 2X4#TAB#","institution_ids":["https://openalex.org/I129902397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103894757","display_name":"Xiaobo Zhao","orcid":null},"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":"Xiaobo Zhao","raw_affiliation_strings":["Department of Industrial Engineering, Tsinghua University, Beijing, 100084, People\u2019s Republic of China","Department of Industrial Engineering, Tsinghua University, Beijing, People's Republic of China 100084"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Tsinghua University, Beijing, 100084, People\u2019s Republic of China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"Department of Industrial Engineering, Tsinghua University, Beijing, People's Republic of China 100084","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016797934"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.4718,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.85044734,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"62","issue":"3","first_page":"255","last_page":"277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9998999834060669,"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":0.9998999834060669,"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/T11720","display_name":"Probability and Risk Models","score":0.9668999910354614,"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"}},{"id":"https://openalex.org/T10698","display_name":"Transportation Planning and Optimization","score":0.9233999848365784,"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/bulk-queue","display_name":"Bulk queue","score":0.726385235786438},{"id":"https://openalex.org/keywords/layered-queueing-network","display_name":"Layered queueing network","score":0.6010400652885437},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.5732899904251099},{"id":"https://openalex.org/keywords/mean-value-analysis","display_name":"Mean value analysis","score":0.547489583492279},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4495491087436676},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"Stationary distribution","score":0.44757747650146484},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.4135354459285736},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41270744800567627},{"id":"https://openalex.org/keywords/priority-queue","display_name":"Priority queue","score":0.41216203570365906},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.388319194316864},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36572742462158203},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1547885537147522},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.09948676824569702},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08969685435295105}],"concepts":[{"id":"https://openalex.org/C87950461","wikidata":"https://www.wikidata.org/wiki/Q4996486","display_name":"Bulk queue","level":3,"score":0.726385235786438},{"id":"https://openalex.org/C33891772","wikidata":"https://www.wikidata.org/wiki/Q6505536","display_name":"Layered queueing network","level":3,"score":0.6010400652885437},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.5732899904251099},{"id":"https://openalex.org/C129978463","wikidata":"https://www.wikidata.org/wiki/Q6803663","display_name":"Mean value analysis","level":4,"score":0.547489583492279},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4495491087436676},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.44757747650146484},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.4135354459285736},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41270744800567627},{"id":"https://openalex.org/C26951474","wikidata":"https://www.wikidata.org/wiki/Q629283","display_name":"Priority queue","level":3,"score":0.41216203570365906},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.388319194316864},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36572742462158203},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1547885537147522},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.09948676824569702},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08969685435295105}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11134-009-9130-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11134-009-9130-0","pdf_url":null,"source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","1572-9443"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W581455273","https://openalex.org/W1494635895","https://openalex.org/W1967141673","https://openalex.org/W1977642252","https://openalex.org/W1980746611","https://openalex.org/W1983725350","https://openalex.org/W1984351494","https://openalex.org/W1986713958","https://openalex.org/W1995713768","https://openalex.org/W2005746181","https://openalex.org/W2006084938","https://openalex.org/W2027355210","https://openalex.org/W2032209986","https://openalex.org/W2034068158","https://openalex.org/W2037137759","https://openalex.org/W2053199678","https://openalex.org/W2062573385","https://openalex.org/W2069698317","https://openalex.org/W2077095314","https://openalex.org/W2081320273","https://openalex.org/W2082445158","https://openalex.org/W2101969505","https://openalex.org/W2103457383","https://openalex.org/W2108021464","https://openalex.org/W2128005148","https://openalex.org/W2130912206","https://openalex.org/W2134300276","https://openalex.org/W2145110173","https://openalex.org/W2154602821","https://openalex.org/W2159279836","https://openalex.org/W2166899907","https://openalex.org/W2327778825","https://openalex.org/W2488029573","https://openalex.org/W2999114539","https://openalex.org/W3027878608","https://openalex.org/W4242750545","https://openalex.org/W4251973790","https://openalex.org/W4302856910"],"related_works":["https://openalex.org/W2126026403","https://openalex.org/W2014955369","https://openalex.org/W929728737","https://openalex.org/W2086056001","https://openalex.org/W1967163829","https://openalex.org/W2322264924","https://openalex.org/W2036729104","https://openalex.org/W1556477456","https://openalex.org/W2403283646","https://openalex.org/W2096451552"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
