{"id":"https://openalex.org/W4206191928","doi":"https://doi.org/10.1007/s11134-021-09733-8","title":"Instability of SRPT, SERPT and SJF multiclass queueing networks","display_name":"Instability of SRPT, SERPT and SJF multiclass queueing networks","publication_year":2022,"publication_date":"2022-01-17","ids":{"openalex":"https://openalex.org/W4206191928","doi":"https://doi.org/10.1007/s11134-021-09733-8"},"language":"en","primary_location":{"id":"doi:10.1007/s11134-021-09733-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11134-021-09733-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11134-021-09733-8.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11134-021-09733-8.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057647588","display_name":"\u0141ukasz Kruk","orcid":"https://orcid.org/0000-0002-3073-959X"},"institutions":[{"id":"https://openalex.org/I174183983","display_name":"Maria Curie-Sk\u0142odowska University","ror":"https://ror.org/015h0qg34","country_code":"PL","type":"education","lineage":["https://openalex.org/I174183983"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"\u0141ukasz Kruk","raw_affiliation_strings":["Department of Mathematics, Maria Curie- Sk\u0142odowska University, pl. Marii Curie-Sk\u0142odowskiej 1, 20-031, Lublin, Poland","Department of Mathematics, Maria Curie- Sk\u0142odowska University, Lublin, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Maria Curie- Sk\u0142odowska University, pl. Marii Curie-Sk\u0142odowskiej 1, 20-031, Lublin, Poland","institution_ids":["https://openalex.org/I174183983"]},{"raw_affiliation_string":"Department of Mathematics, Maria Curie- Sk\u0142odowska University, Lublin, Poland","institution_ids":["https://openalex.org/I174183983"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024472084","display_name":"Tymoteusz Chojecki","orcid":"https://orcid.org/0000-0002-3294-2794"},"institutions":[{"id":"https://openalex.org/I174183983","display_name":"Maria Curie-Sk\u0142odowska University","ror":"https://ror.org/015h0qg34","country_code":"PL","type":"education","lineage":["https://openalex.org/I174183983"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Tymoteusz Chojecki","raw_affiliation_strings":["Department of Mathematics, Maria Curie- Sk\u0142odowska University, pl. Marii Curie-Sk\u0142odowskiej 1, 20-031, Lublin, Poland","Department of Mathematics, Maria Curie- Sk\u0142odowska University, Lublin, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Maria Curie- Sk\u0142odowska University, pl. Marii Curie-Sk\u0142odowskiej 1, 20-031, Lublin, Poland","institution_ids":["https://openalex.org/I174183983"]},{"raw_affiliation_string":"Department of Mathematics, Maria Curie- Sk\u0142odowska University, Lublin, Poland","institution_ids":["https://openalex.org/I174183983"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057647588"],"corresponding_institution_ids":["https://openalex.org/I174183983"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.6174,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70946502,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"101","issue":"1-2","first_page":"57","last_page":"92"},"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9860000014305115,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10138","display_name":"Network Traffic and Congestion Control","score":0.98580002784729,"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/queueing-theory","display_name":"Queueing theory","score":0.634128987789154},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6227996945381165},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.5824543833732605},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5602293610572815},{"id":"https://openalex.org/keywords/service","display_name":"Service (business)","score":0.48772940039634705},{"id":"https://openalex.org/keywords/server","display_name":"Server","score":0.48471999168395996},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.40920767188072205},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.38679128885269165},{"id":"https://openalex.org/keywords/real-time-computing","display_name":"Real-time computing","score":0.3217843770980835},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.08120587468147278}],"concepts":[{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.634128987789154},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6227996945381165},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.5824543833732605},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5602293610572815},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.48772940039634705},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.48471999168395996},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.40920767188072205},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.38679128885269165},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.3217843770980835},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.08120587468147278},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11134-021-09733-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11134-021-09733-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11134-021-09733-8.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:queues:v:101:y:2022:i:1:d:10.1007_s11134-021-09733-8","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s11134-021-09733-8","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":{"id":"doi:10.1007/s11134-021-09733-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11134-021-09733-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11134-021-09733-8.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5299999713897705,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[{"id":"https://openalex.org/G2065558059","display_name":null,"funder_award_id":"2016/23/B/ST1/00492","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"}],"funders":[{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4206191928.pdf","grobid_xml":"https://content.openalex.org/works/W4206191928.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W104432709","https://openalex.org/W1487626875","https://openalex.org/W1496551499","https://openalex.org/W1509480271","https://openalex.org/W1534725903","https://openalex.org/W1973403707","https://openalex.org/W1983737681","https://openalex.org/W1986662958","https://openalex.org/W2008297046","https://openalex.org/W2026976591","https://openalex.org/W2028301248","https://openalex.org/W2083514968","https://openalex.org/W2092575896","https://openalex.org/W2110333773","https://openalex.org/W2121395269","https://openalex.org/W2125478497","https://openalex.org/W2133464631","https://openalex.org/W2134666018","https://openalex.org/W2149637201","https://openalex.org/W2155529449","https://openalex.org/W2161983659","https://openalex.org/W2769795785","https://openalex.org/W2949198081","https://openalex.org/W2963433233","https://openalex.org/W2963976420","https://openalex.org/W3105564553","https://openalex.org/W3110596574","https://openalex.org/W3138289119","https://openalex.org/W3206943497","https://openalex.org/W4247230948"],"related_works":["https://openalex.org/W2092530219","https://openalex.org/W2388464034","https://openalex.org/W2533125852","https://openalex.org/W2140460949","https://openalex.org/W2105580438","https://openalex.org/W2057435755","https://openalex.org/W2018782216","https://openalex.org/W2949620858","https://openalex.org/W2770877918","https://openalex.org/W4319869621"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"provide":[2],"two":[3,30],"examples":[4,74],"of":[5,24,49,89,91],"strictly":[6],"subcritical":[7],"multiclass":[8],"queueing":[9],"networks":[10],"which":[11],"are":[12,26,44,70],"unstable":[13,51],"under":[14,79],"the":[15,60,63,80,99,118],"shortest":[16,52,81],"remaining":[17,53],"processing":[18,55],"time":[19,56],"(SRPT)":[20],"service":[21,38,64,103,113],"protocol.":[22],"Both":[23,72],"them":[25],"reentrant":[27],"lines":[28],"with":[29,94,138],"servers":[31],"and":[32,102,127],"eight":[33],"customer":[34,37,68,100],"classes.":[35],"The":[36],"times":[39,65,104],"in":[40,66,98,122,128,135],"our":[41,73,92],"first":[42,83],"system":[43,77],"deterministic,":[45],"yielding":[46],"an":[47,50],"example":[48],"expected":[54],"(SERPT)":[57],"network.":[58],"In":[59],"second":[61],"one,":[62],"one":[67],"class":[69],"randomized.":[71],"show":[75],"also":[76,106],"instability":[78,131],"job":[82],"(SJF)":[84],"discipline.":[85],"A":[86],"simulation":[87],"study":[88],"robustness":[90],"results":[93,109],"respect":[95],"to":[96],"changes":[97],"interarrival":[101],"is":[105,134],"provided.":[107],"Our":[108],"indicate":[110],"that":[111],"size-based":[112],"policies":[114],"may":[115],"not":[116],"use":[117],"available":[119],"resources":[120],"efficiently":[121],"a":[123],"multiserver":[124],"network":[125],"setting":[126],"fact":[129],"cause":[130],"effects.":[132],"This":[133],"sharp":[136],"contrast":[137],"their":[139],"satisfactory":[140],"performance":[141],"for":[142],"single-server":[143],"queues.":[144]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
