{"id":"https://openalex.org/W3122178183","doi":"https://doi.org/10.1007/s10479-021-03929-0","title":"Heavy traffic analysis for single-server SRPT and LRPT queues via EDF diffusion limits","display_name":"Heavy traffic analysis for single-server SRPT and LRPT queues via EDF diffusion limits","publication_year":2021,"publication_date":"2021-01-19","ids":{"openalex":"https://openalex.org/W3122178183","doi":"https://doi.org/10.1007/s10479-021-03929-0","mag":"3122178183"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-021-03929-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-021-03929-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-021-03929-0.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10479-021-03929-0.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"],"raw_orcid":"https://orcid.org/0000-0002-3073-959X","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":1,"corresponding_author_ids":["https://openalex.org/A5057647588"],"corresponding_institution_ids":["https://openalex.org/I174183983"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.4372,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65454832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"310","issue":"2","first_page":"411","last_page":"429"},"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":0.9807000160217285,"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":0.9678000211715698,"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/queueing-theory","display_name":"Queueing theory","score":0.6979041695594788},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6731278896331787},{"id":"https://openalex.org/keywords/heavy-traffic-approximation","display_name":"Heavy traffic approximation","score":0.6693055033683777},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6302089691162109},{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.5833356976509094},{"id":"https://openalex.org/keywords/heavy-traffic","display_name":"Heavy traffic","score":0.5152990818023682},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4619022309780121},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.45467549562454224},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3924280107021332},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24781355261802673},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2319185435771942},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20920735597610474}],"concepts":[{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.6979041695594788},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6731278896331787},{"id":"https://openalex.org/C193290586","wikidata":"https://www.wikidata.org/wiki/Q17022030","display_name":"Heavy traffic approximation","level":2,"score":0.6693055033683777},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6302089691162109},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.5833356976509094},{"id":"https://openalex.org/C3017960815","wikidata":"https://www.wikidata.org/wiki/Q1592638","display_name":"Heavy traffic","level":2,"score":0.5152990818023682},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4619022309780121},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.45467549562454224},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3924280107021332},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24781355261802673},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2319185435771942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20920735597610474},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C147176958","wikidata":"https://www.wikidata.org/wiki/Q77590","display_name":"Civil engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10479-021-03929-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-021-03929-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-021-03929-0.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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:310:y:2022:i:2:d:10.1007_s10479-021-03929-0","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10479-021-03929-0","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/s10479-021-03929-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10479-021-03929-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10479-021-03929-0.pdf","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3122178183.pdf","grobid_xml":"https://content.openalex.org/works/W3122178183.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W124638726","https://openalex.org/W1545142097","https://openalex.org/W1978944824","https://openalex.org/W1979948822","https://openalex.org/W1985655142","https://openalex.org/W2001111589","https://openalex.org/W2008297046","https://openalex.org/W2018529633","https://openalex.org/W2021097403","https://openalex.org/W2025585405","https://openalex.org/W2028301248","https://openalex.org/W2051216594","https://openalex.org/W2095784707","https://openalex.org/W2101204871","https://openalex.org/W2110333773","https://openalex.org/W2126794261","https://openalex.org/W2134936565","https://openalex.org/W2163141640","https://openalex.org/W2171039044","https://openalex.org/W2237169937","https://openalex.org/W2336727371","https://openalex.org/W2796291475","https://openalex.org/W2802739963","https://openalex.org/W2949198081","https://openalex.org/W2969530985","https://openalex.org/W2997214873","https://openalex.org/W3009595375","https://openalex.org/W3014008857","https://openalex.org/W3105564553","https://openalex.org/W4252302949","https://openalex.org/W4285719527","https://openalex.org/W4302114916","https://openalex.org/W7039533633"],"related_works":["https://openalex.org/W1984809414","https://openalex.org/W2026393453","https://openalex.org/W2334541966","https://openalex.org/W4236668203","https://openalex.org/W4244027475","https://openalex.org/W108961410","https://openalex.org/W1481623596","https://openalex.org/W2469638628","https://openalex.org/W2053262006","https://openalex.org/W124952791"],"abstract_inverted_index":{"Abstract":[0],"Extending":[1],"the":[2,41,44,56,83,123],"results":[3,121],"of":[4,112],"Kruk":[5],"(Queueing":[6],"theory":[7],"and":[8,70,73,76,103],"network":[9],"applications.":[10],"QTNA":[11],"2019.":[12],"Lecture":[13],"notes":[14],"in":[15,39],"computer":[16],"science,":[17],"vol":[18],"11688.":[19],"Springer,":[20],"Cham,":[21],"pp":[22],"263\u2013275,":[23],"2019),":[24],"we":[25],"derive":[26],"heavy":[27,52,94,108],"traffic":[28,53,95,109],"limit":[29,110],"theorems":[30,111],"for":[31,55,66,106,122],"a":[32],"single":[33,35],"server,":[34],"customer":[36,68],"class":[37],"queue":[38],"which":[40],"server":[42],"uses":[43],"Shortest":[45],"Remaining":[46],"Processing":[47],"Time":[48],"(SRPT)":[49],"policy":[50,128],"from":[51],"limits":[54,92],"corresponding":[57,84],"Earliest":[58],"Deadline":[59],"First":[60],"queueing":[61],"systems.":[62],"Our":[63,97],"analysis":[64],"allows":[65],"correlated":[67],"inter-arrival":[69,75],"service":[71,77],"times":[72],"heavy-tailed":[74],"time":[78,127],"distributions,":[79],"as":[80,82],"long":[81],"stochastic":[85],"primitive":[86],"processes":[87],"converge":[88],"weakly":[89],"to":[90],"continuous":[91],"under":[93],"scaling.":[96],"approach":[98],"yields":[99],"simple,":[100],"concise":[101],"justifications":[102],"new":[104],"insights":[105],"SRPT":[107],"Gromoll":[113],"et":[114],"al.":[115],"(Stoch":[116],"Syst":[117],"1(1):1\u201316,":[118],"2011).":[119],"Corresponding":[120],"longest":[124],"remaining":[125],"processing":[126],"are":[129],"also":[130],"provided.":[131]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}