{"id":"https://openalex.org/W2890432410","doi":"https://doi.org/10.23919/fruct.2018.8468271","title":"Verification of the Stability of a Two-Server Queueing System With Static Priority","display_name":"Verification of the Stability of a Two-Server Queueing System With Static Priority","publication_year":2018,"publication_date":"2018-05-01","ids":{"openalex":"https://openalex.org/W2890432410","doi":"https://doi.org/10.23919/fruct.2018.8468271","mag":"2890432410"},"language":"en","primary_location":{"id":"doi:10.23919/fruct.2018.8468271","is_oa":false,"landing_page_url":"https://doi.org/10.23919/fruct.2018.8468271","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 22nd Conference of Open Innovations Association (FRUCT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doaj.org/article/9f821a45eee64cdabdb24e70dcb0f8e9","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015832913","display_name":"Evsey Morozov","orcid":"https://orcid.org/0000-0003-3938-9212"},"institutions":[{"id":"https://openalex.org/I197524780","display_name":"Petrozavodsk State University","ror":"https://ror.org/0176aa147","country_code":"RU","type":"education","lineage":["https://openalex.org/I197524780"]},{"id":"https://openalex.org/I4210152247","display_name":"Karelian Research Centre","ror":"https://ror.org/05wgt8358","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210152247","https://openalex.org/I4210160366"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Evsey Morozov","raw_affiliation_strings":["Institute of Applied Mathematical Research, Karelian Research Centre RAS Petrozavodsk State University, Petrozavodsk, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Mathematical Research, Karelian Research Centre RAS Petrozavodsk State University, Petrozavodsk, Russia","institution_ids":["https://openalex.org/I4210152247","https://openalex.org/I197524780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048991503","display_name":"Maria Maltseva","orcid":"https://orcid.org/0000-0002-7982-0209"},"institutions":[{"id":"https://openalex.org/I197524780","display_name":"Petrozavodsk State University","ror":"https://ror.org/0176aa147","country_code":"RU","type":"education","lineage":["https://openalex.org/I197524780"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Maria Maltseva","raw_affiliation_strings":["Petrozavodsk State University, Petrozavodsk, Russia"],"affiliations":[{"raw_affiliation_string":"Petrozavodsk State University, Petrozavodsk, Russia","institution_ids":["https://openalex.org/I197524780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090399635","display_name":"Bart Steyaert","orcid":null},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Bart Steyaert","raw_affiliation_strings":["Department TELIN, Ghent University, Ghent, Belgium"],"affiliations":[{"raw_affiliation_string":"Department TELIN, Ghent University, Ghent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5015832913"],"corresponding_institution_ids":["https://openalex.org/I197524780","https://openalex.org/I4210152247"],"apc_list":null,"apc_paid":null,"fwci":0.6468,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.74961349,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"166","last_page":"172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9997000098228455,"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":0.9997000098228455,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9789000153541565,"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"}},{"id":"https://openalex.org/T11195","display_name":"Simulation Techniques and Applications","score":0.9695000052452087,"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/server","display_name":"Server","score":0.7925037741661072},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7028335332870483},{"id":"https://openalex.org/keywords/server-farm","display_name":"Server farm","score":0.6223472356796265},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.5770541429519653},{"id":"https://openalex.org/keywords/queueing-theory","display_name":"Queueing theory","score":0.573997437953949},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.570193886756897},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.55305415391922},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5250677466392517},{"id":"https://openalex.org/keywords/idle","display_name":"Idle","score":0.49970197677612305},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.4826417565345764},{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.47687989473342896},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4295625686645508},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.41737955808639526},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.33376020193099976},{"id":"https://openalex.org/keywords/client\u2013server-model","display_name":"Client\u2013server model","score":0.26770028471946716},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13612082600593567}],"concepts":[{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.7925037741661072},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7028335332870483},{"id":"https://openalex.org/C105908466","wikidata":"https://www.wikidata.org/wiki/Q261645","display_name":"Server farm","level":4,"score":0.6223472356796265},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.5770541429519653},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.573997437953949},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.570193886756897},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.55305415391922},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5250677466392517},{"id":"https://openalex.org/C16320812","wikidata":"https://www.wikidata.org/wiki/Q1812200","display_name":"Idle","level":2,"score":0.49970197677612305},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4826417565345764},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.47687989473342896},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4295625686645508},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.41737955808639526},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.33376020193099976},{"id":"https://openalex.org/C152880691","wikidata":"https://www.wikidata.org/wiki/Q146813","display_name":"Client\u2013server model","level":3,"score":0.26770028471946716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13612082600593567},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"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/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/fruct.2018.8468271","is_oa":false,"landing_page_url":"https://doi.org/10.23919/fruct.2018.8468271","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 22nd Conference of Open Innovations Association (FRUCT)","raw_type":"proceedings-article"},{"id":"pmh:oai:doaj.org/article:9f821a45eee64cdabdb24e70dcb0f8e9","is_oa":true,"landing_page_url":"https://doaj.org/article/9f821a45eee64cdabdb24e70dcb0f8e9","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the XXth Conference of Open Innovations Association FRUCT, Vol 426, Iss 22, Pp 166-172 (2018)","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:doaj.org/article:9f821a45eee64cdabdb24e70dcb0f8e9","is_oa":true,"landing_page_url":"https://doaj.org/article/9f821a45eee64cdabdb24e70dcb0f8e9","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the XXth Conference of Open Innovations Association FRUCT, Vol 426, Iss 22, Pp 166-172 (2018)","raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W352793782","https://openalex.org/W1963905576","https://openalex.org/W1973403707","https://openalex.org/W1978568365","https://openalex.org/W2008461713","https://openalex.org/W2038234764","https://openalex.org/W2093515462","https://openalex.org/W2100942298","https://openalex.org/W2118607094","https://openalex.org/W2125244763","https://openalex.org/W2128586119","https://openalex.org/W2138008748","https://openalex.org/W2159079944","https://openalex.org/W3099695193"],"related_works":["https://openalex.org/W2078166177","https://openalex.org/W3032652555","https://openalex.org/W4236348942","https://openalex.org/W2296220114","https://openalex.org/W1998344963","https://openalex.org/W1989375655","https://openalex.org/W1501833554","https://openalex.org/W2070791720","https://openalex.org/W2001192680","https://openalex.org/W3040841990"],"abstract_inverted_index":{"In":[0,165],"this":[1,108,175],"work,":[2],"we":[3,167],"use":[4],"simulation":[5,170],"to":[6,62,111,127],"verify":[7,112,168],"the":[8,12,100,113,116,151,154,160,177,188],"stability":[9,117,132],"conditions":[10,152],"of":[11,18,24,54,107,115,150,174,181],"so-called":[13],"N":[14],"-model,":[15],"which":[16,134],"consists":[17],"two":[19,22],"servers":[20],"and":[21,47,126],"classes":[23],"external":[25],"customers,":[26],"both":[27],"generated":[28],"by":[29,122,141,169,194],"Poisson":[30],"inputs.":[31],"Service":[32],"times":[33],"are":[34,40,49],"server-dependent":[35],"and,":[36],"in":[37,52,81,120,137],"each":[38],"server,":[39],"i.i.d.":[41],"When":[42],"server":[43,55,63,82,94,97,156,162,182,190],"1":[44,183],"is":[45,103,110,135,157,163,191],"occupied,":[46],"there":[48],"waiting":[50],"customers":[51],"queue":[53],"1,":[56,98],"then":[57],"a":[58,67,72,76,85,124,129,142,171,185],"class-1":[59,77],"customer":[60,78],"jumps":[61],"2,":[64,83],"thereby":[65],"becoming":[66],"class-(1,2)":[68],"customer.":[69],"We":[70],"consider":[71],"non-preemptive":[73],"service":[74,80],"priority:":[75],"starts":[79],"when":[84,153,187],"class-2":[86,195],"customer,":[87],"if":[88],"any,":[89],"finishes":[90],"his":[91],"service.":[92],"Thus,":[93],"2":[95],"assists":[96],"while":[99,159],"reverse":[101],"interaction":[102],"impossible.":[104],"The":[105],"purpose":[106],"research":[109],"tightness":[114],"condition":[118],"found":[119],"[8]":[121],"fluid":[123],"approach,":[125],"deduce":[128],"simpler":[130],"sufficient":[131],"condition,":[133],"obtained":[136],"an":[138],"explicit":[139],"form":[140],"regenerative":[143],"approach.":[144],"Moreover,":[145],"our":[146],"analysis":[147],"includes":[148],"verification":[149],"1st":[155],"stable,":[158],"2nd":[161,189],"unstable.":[164],"addition,":[166],"monotonicity":[172],"property":[173],"model:":[176],"idle":[178],"stationary":[179],"probability":[180],"attains":[184],"minimum":[186],"permanently":[192],"occupied":[193],"customers.":[196]},"counts_by_year":[{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
