{"id":"https://openalex.org/W1992096211","doi":"https://doi.org/10.1007/s10479-012-1254-7","title":"Computation of the steady state distribution for multi-server retrial queues with phase type service process","display_name":"Computation of the steady state distribution for multi-server retrial queues with phase type service process","publication_year":2012,"publication_date":"2012-11-07","ids":{"openalex":"https://openalex.org/W1992096211","doi":"https://doi.org/10.1007/s10479-012-1254-7","mag":"1992096211"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-012-1254-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-012-1254-7","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","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/A5109914210","display_name":"Che Soong Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I9507","display_name":"Sangji University","ror":"https://ror.org/01gqe3t73","country_code":"KR","type":"education","lineage":["https://openalex.org/I9507"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Che Soong Kim","raw_affiliation_strings":["Department of Industrial Engineering, Sangji University, Wonju, 220-702, Republic of Korea","Department of Industrial Engineering, Sangji University, Wonju, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Sangji University, Wonju, 220-702, Republic of Korea","institution_ids":["https://openalex.org/I9507"]},{"raw_affiliation_string":"Department of Industrial Engineering, Sangji University, Wonju, Republic of Korea","institution_ids":["https://openalex.org/I9507"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062084104","display_name":"Vilena V. Mushko","orcid":"https://orcid.org/0000-0002-9583-9524"},"institutions":[{"id":"https://openalex.org/I291386647","display_name":"Belarusian State University","ror":"https://ror.org/021036w13","country_code":"BY","type":"education","lineage":["https://openalex.org/I291386647"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"Vilena V. Mushko","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Nezavisimosti Ave., Minsk, 220030, Belarus","Department of Applied Mathematics and Computer Science Belarusian State University Minsk Belarus"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Nezavisimosti Ave., Minsk, 220030, Belarus","institution_ids":["https://openalex.org/I291386647"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science Belarusian State University Minsk Belarus","institution_ids":["https://openalex.org/I291386647"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017091497","display_name":"Alexander Dudin","orcid":"https://orcid.org/0000-0003-2881-0227"},"institutions":[{"id":"https://openalex.org/I291386647","display_name":"Belarusian State University","ror":"https://ror.org/021036w13","country_code":"BY","type":"education","lineage":["https://openalex.org/I291386647"]}],"countries":["BY"],"is_corresponding":false,"raw_author_name":"Alexander N. Dudin","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Nezavisimosti Ave., Minsk, 220030, Belarus","Department of Applied Mathematics and Computer Science Belarusian State University Minsk Belarus"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Nezavisimosti Ave., Minsk, 220030, Belarus","institution_ids":["https://openalex.org/I291386647"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science Belarusian State University Minsk Belarus","institution_ids":["https://openalex.org/I291386647"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109914210"],"corresponding_institution_ids":["https://openalex.org/I9507"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.0934,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.91017241,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"201","issue":"1","first_page":"307","last_page":"323"},"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9535999894142151,"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/T11720","display_name":"Probability and Risk Models","score":0.9327999949455261,"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/markovian-arrival-process","display_name":"Markovian arrival process","score":0.8189018964767456},{"id":"https://openalex.org/keywords/retrial-queue","display_name":"Retrial queue","score":0.7638744115829468},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7608368992805481},{"id":"https://openalex.org/keywords/server","display_name":"Server","score":0.6683270931243896},{"id":"https://openalex.org/keywords/stationary-distribution","display_name":"Stationary distribution","score":0.5021889209747314},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5003771781921387},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.46773844957351685},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.46394941210746765},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.46359342336654663},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.46075305342674255},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4599423110485077},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4238930344581604},{"id":"https://openalex.org/keywords/phase-type-distribution","display_name":"Phase-type distribution","score":0.423144668340683},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.4163166284561157},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37581339478492737},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3569944202899933},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.355618417263031},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17229625582695007},{"id":"https://openalex.org/keywords/queueing-system","display_name":"Queueing system","score":0.13731053471565247}],"concepts":[{"id":"https://openalex.org/C192163390","wikidata":"https://www.wikidata.org/wiki/Q612061","display_name":"Markovian arrival process","level":3,"score":0.8189018964767456},{"id":"https://openalex.org/C2779307879","wikidata":"https://www.wikidata.org/wiki/Q18394151","display_name":"Retrial queue","level":4,"score":0.7638744115829468},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7608368992805481},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.6683270931243896},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.5021889209747314},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5003771781921387},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.46773844957351685},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.46394941210746765},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.46359342336654663},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.46075305342674255},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4599423110485077},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4238930344581604},{"id":"https://openalex.org/C120375044","wikidata":"https://www.wikidata.org/wiki/Q7180911","display_name":"Phase-type distribution","level":3,"score":0.423144668340683},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.4163166284561157},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37581339478492737},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3569944202899933},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.355618417263031},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17229625582695007},{"id":"https://openalex.org/C2986422491","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing system","level":3,"score":0.13731053471565247},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10479-012-1254-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-012-1254-7","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:201:y:2012:i:1:p:307-323:10.1007/s10479-012-1254-7","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10479-012-1254-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321285","display_name":"Sangji University","ror":"https://ror.org/01gqe3t73"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W396071130","https://openalex.org/W1509970629","https://openalex.org/W1538639190","https://openalex.org/W1968661925","https://openalex.org/W1978082286","https://openalex.org/W1980746611","https://openalex.org/W2012065498","https://openalex.org/W2052764292","https://openalex.org/W2064180984","https://openalex.org/W2074096585","https://openalex.org/W2077224396","https://openalex.org/W2157261855","https://openalex.org/W2486916347","https://openalex.org/W2594888774","https://openalex.org/W2610166414","https://openalex.org/W2799598053","https://openalex.org/W3134957306","https://openalex.org/W4232661759","https://openalex.org/W4249296667","https://openalex.org/W4249301219","https://openalex.org/W4285719527","https://openalex.org/W6642536117"],"related_works":["https://openalex.org/W2127493311","https://openalex.org/W2019733967","https://openalex.org/W1015229570","https://openalex.org/W1992096211","https://openalex.org/W2023069799","https://openalex.org/W2092335134","https://openalex.org/W86064143","https://openalex.org/W2130538742","https://openalex.org/W2022599361","https://openalex.org/W4205205970"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
