{"id":"https://openalex.org/W1545484331","doi":"https://doi.org/10.48550/arxiv.cs/0703063","title":"Convergence and Optimal Buffer Sizing for Window Based AIMD Congestion Control","display_name":"Convergence and Optimal Buffer Sizing for Window Based AIMD Congestion Control","publication_year":2007,"publication_date":"2007-03-13","ids":{"openalex":"https://openalex.org/W1545484331","doi":"https://doi.org/10.48550/arxiv.cs/0703063","mag":"1545484331"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:cs/0703063","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cs/0703063","pdf_url":"https://arxiv.org/pdf/cs/0703063","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/cs/0703063","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053557735","display_name":"Konstantin E. Avrachenkov","orcid":"https://orcid.org/0000-0002-8124-8272","observed_orcids":["https://orcid.org/0000-0002-8124-8272"]},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I4210106545","display_name":"Centre Inria d'Universit\u00e9 C\u00f4te d'Azur","ror":"https://ror.org/01nzkaw91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I201841394","https://openalex.org/I4210106545"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Avrachenkov, Konstantin","raw_affiliation_strings":["INRIA Sophia Antipolis","Models for the performance analysis and the control of networks"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Sophia Antipolis","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210106545"]},{"raw_affiliation_string":"Models for the performance analysis and the control of networks","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080096962","display_name":"Urtzi Ayesta","orcid":"https://orcid.org/0000-0003-1761-2313","observed_orcids":["https://orcid.org/0000-0003-1761-2313"]},"institutions":[{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I190497903","https://openalex.org/I193033237","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210152422","https://openalex.org/I4210159245","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ayesta, Urtzi","raw_affiliation_strings":["LAAS","Laboratoire d'analyse et d'architecture des syst\u00e8mes"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAAS","institution_ids":[]},{"raw_affiliation_string":"Laboratoire d'analyse et d'architecture des syst\u00e8mes","institution_ids":["https://openalex.org/I190497903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054092600","display_name":"Alexey Piunovskiy","orcid":"https://orcid.org/0000-0002-9683-4856","observed_orcids":["https://orcid.org/0000-0002-9683-4856"]},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Piunovskiy, Alexei","raw_affiliation_strings":["Department of Mathematical Sciences [Liverpool]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences [Liverpool]","institution_ids":["https://openalex.org/I146655781"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10138","display_name":"Network Traffic and Congestion Control","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10138","display_name":"Network Traffic and Congestion Control","score":0.9994999766349792,"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/T10524","display_name":"Traffic control and management","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/congestion-window","display_name":"congestion window","score":0.6489999890327454},{"id":"https://openalex.org/keywords/cyclic-behavior","display_name":"cyclic behavior","score":0.6600000262260437},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"multi-objective optimization","score":0.7540000081062317},{"id":"https://openalex.org/keywords/goodput","display_name":"goodput","score":0.8019999861717224},{"id":"https://openalex.org/keywords/queueing-delay","display_name":"queuing delay","score":0.9089999794960022},{"id":"https://openalex.org/keywords/traffic-aggregation","display_name":"traffic aggregation","score":0.9039999842643738},{"id":"https://openalex.org/keywords/bottleneck-router","display_name":"bottleneck router","score":0.7829999923706055}],"concepts":[{"id":"https://openalex.org/C195563490","wikidata":"https://www.wikidata.org/wiki/Q180368","display_name":"Network congestion","level":3,"score":0.7368063926696777},{"id":"https://openalex.org/C2775896111","wikidata":"https://www.wikidata.org/wiki/Q642560","display_name":"Router","level":2,"score":0.7007174491882324},{"id":"https://openalex.org/C2780513914","wikidata":"https://www.wikidata.org/wiki/Q18210350","display_name":"Bottleneck","level":2,"score":0.6723281145095825},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6268282532691956},{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6245368719100952},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5412276983261108},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4961288869380951},{"id":"https://openalex.org/C145018004","wikidata":"https://www.wikidata.org/wiki/Q4985944","display_name":"Buffer (optical fiber)","level":2,"score":0.49135056138038635},{"id":"https://openalex.org/C22684755","wikidata":"https://www.wikidata.org/wiki/Q847526","display_name":"Queueing theory","level":2,"score":0.47281113266944885},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.43546658754348755},{"id":"https://openalex.org/C94022561","wikidata":"https://www.wikidata.org/wiki/Q1172393","display_name":"Goodput","level":4,"score":0.42812997102737427},{"id":"https://openalex.org/C2777767291","wikidata":"https://www.wikidata.org/wiki/Q1080291","display_name":"Sizing","level":2,"score":0.41851264238357544},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3538864254951477},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.24549037218093872},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.24267488718032837},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.24173757433891296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21117302775382996},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.14351046085357666},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"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/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:cs/0703063","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cs/0703063","pdf_url":"https://arxiv.org/pdf/cs/0703063","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:HAL:inria-00136205v2","doi":null,"is_oa":false,"landing_page_url":"https://inria.hal.science/inria-00136205v2/document","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"[Research Report] RR-6142, INRIA. 2007, pp.39","raw_type":"info:eu-repo/semantics/report"},{"id":"doi:10.48550/arxiv.cs/0703063","doi":"https://doi.org/10.48550/arxiv.cs/0703063","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.cs/0703063","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:cs/0703063","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cs/0703063","pdf_url":"https://arxiv.org/pdf/cs/0703063","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1518072521","https://openalex.org/W1536934246","https://openalex.org/W1609755472","https://openalex.org/W1627919342","https://openalex.org/W1674145689","https://openalex.org/W1867902620","https://openalex.org/W1901158388","https://openalex.org/W1965095275","https://openalex.org/W1997548412","https://openalex.org/W2106717832","https://openalex.org/W2133996691","https://openalex.org/W2136720347","https://openalex.org/W2138804494","https://openalex.org/W2156601216","https://openalex.org/W2158733823","https://openalex.org/W2753542457"],"related_works":["https://openalex.org/W2736824533","https://openalex.org/W2401114710","https://openalex.org/W2499883480","https://openalex.org/W2123632139","https://openalex.org/W2256131812","https://openalex.org/W3211124779","https://openalex.org/W2160722304","https://openalex.org/W2793999374","https://openalex.org/W2242565608","https://openalex.org/W4224240262"],"abstract_inverted_index":{"We":[0,21,56,94],"study":[1],"the":[2,5,23,26,36,40,43,58,65,74,86,90,96,99,111,120,124,128,133,140,147,163],"interaction":[3,41],"between":[4,42],"AIMD":[6,44],"(Additive":[7],"Increase":[8],"Multiplicative":[9],"Decrease)":[10],"congestion":[11,45,71],"control":[12,46],"and":[13,47,61,123,162],"a":[14,53,105,116],"bottleneck":[15,48],"router":[16,49,91,101],"with":[17,160],"Drop":[18],"Tail":[19],"buffer.":[20],"consider":[22],"problem":[24,97,135],"in":[25,73,109,127,146],"framework":[27,84],"of":[28,39,67,70,89,98,119,149],"deterministic":[29],"hybrid":[30,37],"models.":[31],"First,":[32],"we":[33,80],"show":[34],"that":[35,139],"model":[38],"always":[50],"converges":[51],"to":[52,115,132],"cyclic":[54],"behavior.":[55],"characterize":[57],"cycles.":[59],"Necessary":[60],"sufficient":[62],"conditions":[63],"for":[64,85],"absence":[66],"multiple":[68],"jumps":[69],"window":[72],"same":[75],"cycle":[76],"are":[77,155],"obtained.":[78],"Then,":[79],"propose":[81],"an":[82],"analytical":[83,153],"optimal":[87,100],"choice":[88],"buffer":[92,102,141],"size.":[93],"formulate":[95],"size":[103,142],"as":[104],"multi-criteria":[106],"optimization":[107,134],"problem,":[108],"which":[110],"Lagrange":[112],"function":[113],"corresponds":[114],"linear":[117],"combination":[118],"average":[121,125],"goodput":[122],"delay":[126],"queue.":[129],"The":[130],"solution":[131],"provides":[136],"further":[137],"evidence":[138],"should":[143],"be":[144],"reduced":[145],"presence":[148],"traffic":[150],"aggregation.":[151],"Our":[152],"results":[154],"confirmed":[156],"by":[157],"simulations":[158],"performed":[159],"Simulink":[161],"NS":[164],"simulator.":[165]},"counts_by_year":[],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2025-10-10T00:00:00"}
