{"id":"https://openalex.org/W2941705605","doi":"https://doi.org/10.23919/ifipnetworking.2018.8696709","title":"Improving Output Bounds in the Stochastic Network Calculus Using Lyapunov\u2019s Inequality","display_name":"Improving Output Bounds in the Stochastic Network Calculus Using Lyapunov\u2019s Inequality","publication_year":2018,"publication_date":"2018-05-01","ids":{"openalex":"https://openalex.org/W2941705605","doi":"https://doi.org/10.23919/ifipnetworking.2018.8696709","mag":"2941705605"},"language":"en","primary_location":{"id":"doi:10.23919/ifipnetworking.2018.8696709","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ifipnetworking.2018.8696709","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IFIP Networking Conference (IFIP Networking) and Workshops","raw_type":"proceedings-article"},"type":"conference-paper","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/A5038842699","display_name":"Paul Nikolaus","orcid":"https://orcid.org/0000-0001-5277-0267"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Paul Nikolaus","raw_affiliation_strings":["Distributed Computer Systems (DISCO) Lab, TU Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Distributed Computer Systems (DISCO) Lab, TU Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102136395","display_name":"Jens Schmitt","orcid":null},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jens Schmitt","raw_affiliation_strings":["Distributed Computer Systems (DISCO) Lab, TU Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Distributed Computer Systems (DISCO) Lab, TU Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I153267046"],"apc_list":null,"apc_paid":null,"fwci":0.8213,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.71956718,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9966999888420105,"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":0.9966999888420105,"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/T10138","display_name":"Network Traffic and Congestion Control","score":0.9947999715805054,"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/T10847","display_name":"Advanced Optical Network Technologies","score":0.9944000244140625,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/network-calculus","display_name":"Network calculus","score":0.605790376663208},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5566323399543762},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5241622924804688},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.5046809911727905},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.480535089969635},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44939640164375305},{"id":"https://openalex.org/keywords/stochastic-calculus","display_name":"Stochastic calculus","score":0.413217693567276},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4040820896625519},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.35916590690612793},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3314915895462036},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1904067099094391},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.130135178565979},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08823904395103455},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.07157012820243835}],"concepts":[{"id":"https://openalex.org/C2778693205","wikidata":"https://www.wikidata.org/wiki/Q7000967","display_name":"Network calculus","level":3,"score":0.605790376663208},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5566323399543762},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5241622924804688},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.5046809911727905},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.480535089969635},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44939640164375305},{"id":"https://openalex.org/C63331456","wikidata":"https://www.wikidata.org/wiki/Q1308570","display_name":"Stochastic calculus","level":4,"score":0.413217693567276},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4040820896625519},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.35916590690612793},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3314915895462036},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1904067099094391},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.130135178565979},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08823904395103455},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.07157012820243835},{"id":"https://openalex.org/C5119721","wikidata":"https://www.wikidata.org/wiki/Q220501","display_name":"Quality of service","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ifipnetworking.2018.8696709","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ifipnetworking.2018.8696709","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IFIP Networking Conference (IFIP Networking) and Workshops","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1511241204","https://openalex.org/W1967549261","https://openalex.org/W1986154514","https://openalex.org/W1986632072","https://openalex.org/W1987582408","https://openalex.org/W1991466857","https://openalex.org/W2015774390","https://openalex.org/W2020634547","https://openalex.org/W2029582349","https://openalex.org/W2037119287","https://openalex.org/W2037759417","https://openalex.org/W2048845656","https://openalex.org/W2054997715","https://openalex.org/W2082841997","https://openalex.org/W2116690616","https://openalex.org/W2118419465","https://openalex.org/W2144256528","https://openalex.org/W2144954801","https://openalex.org/W2147206873","https://openalex.org/W2149713648","https://openalex.org/W2152710595","https://openalex.org/W2155303087","https://openalex.org/W2482329843","https://openalex.org/W2521712525","https://openalex.org/W2565165034","https://openalex.org/W2570034566","https://openalex.org/W2607802008","https://openalex.org/W2952029831","https://openalex.org/W2963083228","https://openalex.org/W3010484576","https://openalex.org/W4206809386","https://openalex.org/W6730950604"],"related_works":["https://openalex.org/W2004092922","https://openalex.org/W2093111782","https://openalex.org/W2120861969","https://openalex.org/W4308830335","https://openalex.org/W4245563650","https://openalex.org/W3114025343","https://openalex.org/W2048163904","https://openalex.org/W1971287606","https://openalex.org/W2949517082","https://openalex.org/W2037119287"],"abstract_inverted_index":{"Giving":[0],"tight":[1],"estimates":[2],"for":[3,27],"output":[4,40,52,65],"bounds":[5,41],"is":[6,88,132],"key":[7],"to":[8,22,38],"an":[9,48],"accurate":[10,93],"network":[11,16],"analysis":[12],"using":[13],"the":[14,25,33,51,69,80,95,130],"stochastic":[15],"calculus":[17],"(SNC)":[18],"framework.":[19],"In":[20,58],"order":[21],"upper":[23],"bound":[24,53,66,131],"delay":[26,114],"a":[28,63,113,119,124,136],"flow":[29],"of":[30,42,75,121,126,138],"interest":[31],"in":[32,50,68,103,149],"network,":[34],"one":[35],"typically":[36],"has":[37],"calculate":[39],"cross-traffic":[43],"flows":[44],"several":[45],"times.":[46],"Thus,":[47],"improvement":[49],"calculation":[54,67],"pays":[55],"off":[56],"considerably.":[57],"this":[59],"paper,":[60],"we":[61],"propose":[62],"new":[64],"SNC":[70],"framework":[71],"by":[72,118,135],"making":[73],"use":[74],"Lyapunov\u2019s":[76],"inequality.":[77],"We":[78],"prove":[79],"bound\u2019s":[81],"validity":[82],"and":[83],"also":[84],"show":[85],"why":[86],"it":[87],"always":[89],"at":[90],"least":[91],"as":[92,94],"state-of-the-art":[96],"method.":[97],"Numerical":[98],"evaluations":[99],"demonstrate":[100],"that":[101],"even":[102],"small":[104],"heterogeneous":[105],"two":[106],"server":[107],"topologies,":[108],"our":[109,143],"approach":[110,144],"can":[111,145],"improve":[112],"bounds\u2019":[115],"violation":[116],"probability":[117],"factor":[120,137],"340.":[122],"For":[123],"set":[125],"randomly":[127],"generated":[128],"parameters,":[129],"still":[133],"decreased":[134],"1.33":[139],"on":[140],"average.":[141],"Furthermore,":[142],"be":[146],"easily":[147],"integrated":[148],"existing":[150],"end-to-end":[151],"analyses.":[152]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
