{"id":"https://openalex.org/W3205067799","doi":"https://doi.org/10.3390/math9202624","title":"Algorithmic Analysis of Finite-Source Multi-Server Heterogeneous Queueing Systems","display_name":"Algorithmic Analysis of Finite-Source Multi-Server Heterogeneous Queueing Systems","publication_year":2021,"publication_date":"2021-10-18","ids":{"openalex":"https://openalex.org/W3205067799","doi":"https://doi.org/10.3390/math9202624","mag":"3205067799"},"language":"en","primary_location":{"id":"doi:10.3390/math9202624","doi":"https://doi.org/10.3390/math9202624","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/math9202624","pdf_url":"https://www.mdpi.com/2227-7390/9/20/2624/pdf?version=1634625262","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2227-7390/9/20/2624/pdf?version=1634625262","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084201217","display_name":"Dmitry Efrosinin","orcid":"https://orcid.org/0000-0002-0902-6640","observed_orcids":["https://orcid.org/0000-0002-0902-6640"]},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]},{"id":"https://openalex.org/I126527374","display_name":"Peoples' Friendship University of Russia","ror":"https://ror.org/02dn9h927","country_code":"RU","type":"education","lineage":["https://openalex.org/I126527374"]},{"id":"https://openalex.org/I4210157430","display_name":"V. A. Trapeznikov Institute of Control Sciences","ror":"https://ror.org/05f3yt521","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210157430","https://openalex.org/I4210164537"]}],"countries":["AT","RU"],"is_corresponding":false,"raw_author_name":"Dmitry Efrosinin","raw_affiliation_strings":["Department of Information Technologies, Faculty of Mathematics and Natural Sciences, Peoples\u2019 Friendship University of Russia (RUDN University), Miklukho-Maklaya 6, 117198 Moscow, Russia","Insitute for Stochastics, Johannes Kepler University Linz, Altenbergerstrasse 69, 4040 Linz, Austria","V.A. Trapeznikov Institute of Control Sciences of RAS, Profsoyuznaya 65, 117997 Moscow, Russia"],"raw_orcid":"https://orcid.org/0000-0002-0902-6640","affiliations":[{"raw_affiliation_string":"Department of Information Technologies, Faculty of Mathematics and Natural Sciences, Peoples\u2019 Friendship University of Russia (RUDN University), Miklukho-Maklaya 6, 117198 Moscow, Russia","institution_ids":["https://openalex.org/I126527374"]},{"raw_affiliation_string":"Insitute for Stochastics, Johannes Kepler University Linz, Altenbergerstrasse 69, 4040 Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"V.A. Trapeznikov Institute of Control Sciences of RAS, Profsoyuznaya 65, 117997 Moscow, Russia","institution_ids":["https://openalex.org/I4210157430"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102879479","display_name":"Natalia V. Stepanova","orcid":"https://orcid.org/0000-0001-5920-1358","observed_orcids":["https://orcid.org/0000-0001-5920-1358"]},"institutions":[{"id":"https://openalex.org/I4210157430","display_name":"V. A. Trapeznikov Institute of Control Sciences","ror":"https://ror.org/05f3yt521","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210157430","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Natalia Stepanova","raw_affiliation_strings":["V.A. Trapeznikov Institute of Control Sciences of RAS, Profsoyuznaya 65, 117997 Moscow, Russia"],"raw_orcid":"https://orcid.org/0000-0001-5920-1358","affiliations":[{"raw_affiliation_string":"V.A. Trapeznikov Institute of Control Sciences of RAS, Profsoyuznaya 65, 117997 Moscow, Russia","institution_ids":["https://openalex.org/I4210157430"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057460510","display_name":"J\u00e1nos Sztrik","orcid":"https://orcid.org/0000-0002-5303-818X","observed_orcids":["https://orcid.org/0000-0002-5303-818X"]},"institutions":[{"id":"https://openalex.org/I132735039","display_name":"University of Debrecen","ror":"https://ror.org/02xf66n48","country_code":"HU","type":"education","lineage":["https://openalex.org/I132735039"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Janos Sztrik","raw_affiliation_strings":["Department of Informatics and Networks, Faculty of Informatics, University of Debrecen, Egyetem t\u00e9r 1, 4032 Debrecen, Hungary"],"raw_orcid":"https://orcid.org/0000-0002-5303-818X","affiliations":[{"raw_affiliation_string":"Department of Informatics and Networks, Faculty of Informatics, University of Debrecen, Egyetem t\u00e9r 1, 4032 Debrecen, Hungary","institution_ids":["https://openalex.org/I132735039"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5057460510"],"corresponding_institution_ids":["https://openalex.org/I132735039"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1728},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1728},"fwci":3.211,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.92075787,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"9","issue":"20","first_page":"2624","last_page":"2624"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":1.0,"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":1.0,"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/T12288","display_name":"Optimization and Search Problems","score":0.0,"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/T13553","display_name":"Age of Information Optimization","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/heterogeneous-servers","display_name":"heterogeneous servers","score":0.9959999918937683},{"id":"https://openalex.org/keywords/threshold-policy","display_name":"threshold policy","score":0.6449999809265137},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.8579999804496765},{"id":"https://openalex.org/keywords/performance-indicators","display_name":"performance indicators","score":0.5889999866485596},{"id":"https://openalex.org/keywords/matrix-analytic-methods","display_name":"matrix-analytic methods","score":0.7409999966621399}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7231294512748718},{"id":"https://openalex.org/C33891772","wikidata":"https://www.wikidata.org/wiki/Q6505536","display_name":"Layered queueing network","level":3,"score":0.6786317229270935},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.6621423959732056},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.6424885392189026},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5152699947357178},{"id":"https://openalex.org/C129978463","wikidata":"https://www.wikidata.org/wiki/Q6803663","display_name":"Mean value analysis","level":4,"score":0.5025601387023926},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.4880751371383667},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.47055768966674805},{"id":"https://openalex.org/C87950461","wikidata":"https://www.wikidata.org/wiki/Q4996486","display_name":"Bulk queue","level":3,"score":0.46560198068618774},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4539801776409149},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.4319838285446167},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.35637950897216797},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3322795033454895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20215433835983276},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0712699294090271},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/math9202624","doi":"https://doi.org/10.3390/math9202624","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/math9202624","pdf_url":"https://www.mdpi.com/2227-7390/9/20/2624/pdf?version=1634625262","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:gam:jmathe:v:9:y:2021:i:20:p:2624-:d:658780","doi":null,"is_oa":false,"landing_page_url":"https://www.mdpi.com/2227-7390/9/20/2624/","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,"listed_in":[],"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"},{"id":"pmh:oai:dea.lib.unideb.hu:2437/323054","doi":null,"is_oa":true,"landing_page_url":"http://webpac.lib.unideb.hu:8082/ebib/CorvinaWeb?action=cclfind&resultview=long&ccltext=idno+BIBFORM097475","pdf_url":null,"source":{"id":"https://openalex.org/S4306402089","display_name":"University of Debrecen Electronic Archive (University of Debrecen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I132735039","host_organization_name":"University of Debrecen","host_organization_lineage":["https://openalex.org/I132735039"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"idegen nyelv\u0171 foly\u00f3iratk\u00f6zlem\u00e9ny k\u00fclf\u00f6ldi lapban"},{"id":"pmh:oai:doaj.org/article:3b8ce914bed049e59c817cd6fbcabb31","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/3b8ce914bed049e59c817cd6fbcabb31","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics, Vol 9, Iss 20, p 2624 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/math9202624","doi":"https://doi.org/10.3390/math9202624","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/math9202624","pdf_url":"https://www.mdpi.com/2227-7390/9/20/2624/pdf?version=1634625262","source":{"id":"https://openalex.org/S4210192031","display_name":"Mathematics","issn_l":"2227-7390","issn":["2227-7390"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320329913","display_name":"RUDN University","ror":"https://ror.org/02dn9h927"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3205067799.pdf","grobid_xml":"https://content.openalex.org/works/W3205067799.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W1968080410","https://openalex.org/W1973698838","https://openalex.org/W2006358910","https://openalex.org/W2016842044","https://openalex.org/W2073742876","https://openalex.org/W2107927314","https://openalex.org/W2117617285","https://openalex.org/W2181549187","https://openalex.org/W2332025027","https://openalex.org/W2642863912","https://openalex.org/W3092885859"],"related_works":["https://openalex.org/W3092885859","https://openalex.org/W2498176466","https://openalex.org/W7100742695","https://openalex.org/W7036158754","https://openalex.org/W3101319343","https://openalex.org/W1973249198","https://openalex.org/W2080475451","https://openalex.org/W4404298536","https://openalex.org/W6926669811","https://openalex.org/W1985564669"],"abstract_inverted_index":{"The":[0,27,46],"paper":[1],"deals":[2],"with":[3,18,94,146],"a":[4,31,53,75,117,121],"finite-source":[5],"queueing":[6,144],"system":[7,73,88],"serving":[8],"one":[9,24],"class":[10],"of":[11,15,23,69,86,106,133],"customers":[12,70,134],"and":[13,22,89,142,154],"consisting":[14],"heterogeneous":[16,113],"servers":[17],"unequal":[19],"service":[20,33,44],"intensities":[21],"common":[25],"queue.":[26],"main":[28,92,126],"model":[29,93,114,127],"has":[30,74],"non-preemptive":[32,143],"when":[34],"the":[35,40,60,65,72,80,87,91,103,111,125,130,136,140,147,152],"customer":[36],"can":[37],"not":[38],"change":[39],"server":[41,149],"during":[42],"its":[43],"time.":[45],"optimal":[47,61],"allocation":[48],"problem":[49],"is":[50,120],"formulated":[51],"as":[52],"Markov-decision":[54],"one.":[55],"We":[56,78,108],"show":[57],"numerically":[58],"that":[59,110],"policy":[62,119,151],"which":[63,99],"minimizes":[64],"long-run":[66],"average":[67],"number":[68,105,132],"in":[71,135],"threshold":[76,118],"structure.":[77],"derive":[79],"matrix":[81],"expressions":[82],"for":[83,102,124,159],"performance":[84],"measures":[85],"compare":[90],"alternative":[95],"simplified":[96],"queuing":[97],"systems":[98],"are":[100,157],"analysed":[101],"arbitrary":[104],"servers.":[107],"observe":[109],"preemptive":[112,141],"operating":[115],"under":[116],"good":[122],"approximation":[123],"by":[128],"calculating":[129],"mean":[131,161],"system.":[137],"Moreover,":[138],"using":[139],"models":[145],"faster":[148],"first":[150],"lower":[153],"upper":[155],"bounds":[156],"calculated":[158],"this":[160],"value.":[162]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2021-10-25T00:00:00"}
