On the AIMD Algorithm Under Saturation Constraints
One of the most successful distributed resource allocation algorithms to be deployed in industry is the Additive-Increase Multiplicative-Decrease (AIMD) algorithm of Jain and Chiu. This algorithm already underpins the transport layer of the internet, and is now starting to find application in new ar...
Saved in:
| Published in: | IEEE transactions on automatic control Vol. 62; no. 12; pp. 6392 - 6398 |
|---|---|
| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
IEEE
01.12.2017
|
| Subjects: | |
| ISSN: | 0018-9286, 1558-2523 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | One of the most successful distributed resource allocation algorithms to be deployed in industry is the Additive-Increase Multiplicative-Decrease (AIMD) algorithm of Jain and Chiu. This algorithm already underpins the transport layer of the internet, and is now starting to find application in new areas in the context of Smart Grid and Smart Transportation applications. A distinguishing feature of these latter application areas, when compared with the internet, is the need to modify AIMD to account for lower and upper bounds in the resource allocated to individual agents. Our objective in this note is to demonstrate that the dynamic system arising from AIMD in this extended form has system theoretic properties similar to the classical algorithm. |
|---|---|
| AbstractList | One of the most successful distributed resource allocation algorithms to be deployed in industry is the Additive-Increase Multiplicative-Decrease (AIMD) algorithm of Jain and Chiu. This algorithm already underpins the transport layer of the internet, and is now starting to find application in new areas in the context of Smart Grid and Smart Transportation applications. A distinguishing feature of these latter application areas, when compared with the internet, is the need to modify AIMD to account for lower and upper bounds in the resource allocated to individual agents. Our objective in this note is to demonstrate that the dynamic system arising from AIMD in this extended form has system theoretic properties similar to the classical algorithm. |
| Author | Shorten, R. Corless, M. Studli, S. Middleton, R. H. |
| Author_xml | – sequence: 1 givenname: S. surname: Studli fullname: Studli, S. email: sonja.stuedli@newcastle.edu.au organization: Sch. of Electr. Eng. & Comput., Univ. of Newcastle, Callaghan, NSW, Australia – sequence: 2 givenname: M. surname: Corless fullname: Corless, M. email: corless@purdue.edu organization: Sch. of Aeronaut. & Astronaut., Purdue Univ., West Lafayette, IN, USA – sequence: 3 givenname: R. H. surname: Middleton fullname: Middleton, R. H. email: richard.middleton@newcastle.edu.au organization: Sch. of Electr. Eng. & Comput., Univ. of Newcastle, Callaghan, NSW, Australia – sequence: 4 givenname: R. surname: Shorten fullname: Shorten, R. email: robert.shorten@ucd.ie organization: Sch. of Electr., Electron. & Commun. Eng., Univ. Coll. Dublin, Dublin, Ireland |
| BookMark | eNp9j7FOwzAURS1UJNLCjsSSH0jwe44de4wClEpFHWjnyHUcGpQ6yDYDf09LKwYGpqc7nHvfmZKJG50l5BZoDkDV_bqqc6RQ5ig4gKAXJAHOZYYc2YQklILMFEpxRaYhvB-iKApICK5cGnc2rRYvD2k1vI2-j7t9unGt9emrjp9ex350aT26EL3uXQzX5LLTQ7A35zsjm6fHdf2cLVfzRV0tMwOKxcyYDhUaKbeca0QlJFCNrGwltKjaQmqK3JRGc21bw6VmXbstlRLUFAxAsxmhp17jxxC87ZoP3--1_2qANkfn5uDcHJ2bs_MBEX8Q08cfgePvw3_g3QnsrbW_O6UEFFSybw-rZEs |
| CODEN | IETAA9 |
| CitedBy_id | crossref_primary_10_1109_TNSE_2021_3085533 crossref_primary_10_1007_s00521_021_06740_x crossref_primary_10_3390_en14154389 crossref_primary_10_1155_2022_3664105 crossref_primary_10_1016_j_cnsns_2022_106694 crossref_primary_10_1016_j_ejcon_2018_12_009 |
| Cites_doi | 10.1109/NAPS.2012.6336389 10.1145/1400097.1400105 10.1109/90.842137 10.1145/1384609.1384613 10.1145/2425248.2425257 10.1109/TAC.2003.822858 10.1137/1.9781611974225 10.1109/INFCOM.2003.1208950 10.1109/37.980245 10.1016/0169-7552(89)90019-6 10.1109/CDC.2001.980604 10.1109/TNET.2011.2159736 10.1038/sj.jors.2600523 10.1177/0142331213494100 10.1109/INFCOM.2003.1208927 10.1080/00207179.2012.664787 10.1137/050646226 10.1109/TITS.2013.2264754 10.1109/TSG.2014.2320555 10.1007/978-0-8176-8216-3 10.1109/TAC.2002.1008356 10.1080/00207179.2012.679970 10.1017/S000186780001140X 10.1109/INFCOM.2002.1019264 10.1016/j.comcom.2009.05.003 10.1145/1925861.1925879 |
| ContentType | Journal Article |
| DBID | 97E RIA RIE AAYXX CITATION |
| DOI | 10.1109/TAC.2017.2651160 |
| DatabaseName | IEEE All-Society Periodicals Package (ASPP) 2005–Present IEEE All-Society Periodicals Package (ASPP) 1998–Present IEEE Electronic Library (IEL) CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: RIE name: IEEE Electronic Library (IEL) url: https://ieeexplore.ieee.org/ sourceTypes: Publisher |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1558-2523 |
| EndPage | 6398 |
| ExternalDocumentID | 10_1109_TAC_2017_2651160 7812608 |
| Genre | orig-research |
| GroupedDBID | -~X .DC 0R~ 29I 3EH 4.4 5GY 5VS 6IK 97E AAJGR AARMG AASAJ AAWTH ABAZT ABQJQ ABVLG ACGFO ACGFS ACIWK ACNCT AENEX AETIX AGQYO AGSQL AHBIQ AI. AIBXA AKJIK AKQYR ALLEH ALMA_UNASSIGNED_HOLDINGS ASUFR ATWAV BEFXN BFFAM BGNUA BKEBE BPEOZ CS3 DU5 EBS EJD F5P HZ~ H~9 IAAWW IBMZZ ICLAB IDIHD IFIPE IFJZH IPLJI JAVBF LAI M43 MS~ O9- OCL P2P RIA RIE RNS TAE TN5 VH1 VJK ~02 AAYXX CITATION |
| ID | FETCH-LOGICAL-c193t-ccf292c88b55a2296810a237d81d29d48a025c7ca5aedc58a3fdb79960c4311a3 |
| IEDL.DBID | RIE |
| ISICitedReferencesCount | 7 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000417090000025&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0018-9286 |
| IngestDate | Tue Nov 18 21:45:47 EST 2025 Sat Nov 29 05:40:37 EST 2025 Wed Aug 27 02:48:53 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 12 |
| Language | English |
| License | https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c193t-ccf292c88b55a2296810a237d81d29d48a025c7ca5aedc58a3fdb79960c4311a3 |
| ORCID | 0000-0003-4955-5237 |
| PageCount | 7 |
| ParticipantIDs | crossref_citationtrail_10_1109_TAC_2017_2651160 ieee_primary_7812608 crossref_primary_10_1109_TAC_2017_2651160 |
| PublicationCentury | 2000 |
| PublicationDate | 2017-Dec. 2017-12-00 |
| PublicationDateYYYYMMDD | 2017-12-01 |
| PublicationDate_xml | – month: 12 year: 2017 text: 2017-Dec. |
| PublicationDecade | 2010 |
| PublicationTitle | IEEE transactions on automatic control |
| PublicationTitleAbbrev | TAC |
| PublicationYear | 2017 |
| Publisher | IEEE |
| Publisher_xml | – name: IEEE |
| References | ref13 wirth (ref30) 0 ref34 ref12 ref15 stuedli (ref21) 0 ref14 ref33 ref10 tan (ref4) 0 ref2 ref1 ref17 ref16 ref19 ref18 liu (ref31) 2015 bohacek (ref27) 2001 wirth (ref6) 2014 ref24 ref23 ref25 stüdli (ref32) 2016 ref20 kelly (ref26) 2000 ref22 ref28 ref29 ref8 ref7 ref9 ref3 ref5 molnar (ref11) 2009; 32 |
| References_xml | – ident: ref33 doi: 10.1109/NAPS.2012.6336389 – ident: ref2 doi: 10.1145/1400097.1400105 – ident: ref28 doi: 10.1109/90.842137 – ident: ref3 doi: 10.1145/1384609.1384613 – ident: ref18 doi: 10.1145/2425248.2425257 – ident: ref14 doi: 10.1109/TAC.2003.822858 – year: 2015 ident: ref31 article-title: Topics in electromobility and related applications – year: 0 ident: ref21 article-title: On the modified AIMD algorithm for distributed resource management with saturation of the users share publication-title: Proc 54th IEEE Conf Decis Control – ident: ref15 doi: 10.1137/1.9781611974225 – ident: ref29 doi: 10.1109/INFCOM.2003.1208950 – ident: ref12 doi: 10.1109/37.980245 – ident: ref1 doi: 10.1016/0169-7552(89)90019-6 – ident: ref25 doi: 10.1109/CDC.2001.980604 – ident: ref5 doi: 10.1109/TNET.2011.2159736 – ident: ref8 doi: 10.1038/sj.jors.2600523 – ident: ref19 doi: 10.1177/0142331213494100 – ident: ref23 doi: 10.1109/INFCOM.2003.1208927 – ident: ref22 doi: 10.1080/00207179.2012.664787 – year: 0 ident: ref4 article-title: Compound TCP: A scalable and TCP-friendly congestion control for high-speed networks publication-title: Proc 4th Int Workshop on Protocols for Fast Long-Distance Networks (PFLDNet) – ident: ref20 doi: 10.1137/050646226 – ident: ref16 doi: 10.1109/TITS.2013.2264754 – ident: ref7 doi: 10.1109/TSG.2014.2320555 – ident: ref9 doi: 10.1007/978-0-8176-8216-3 – ident: ref24 doi: 10.1109/TAC.2002.1008356 – ident: ref34 doi: 10.1080/00207179.2012.679970 – year: 0 ident: ref30 article-title: Nonhomogeneous place-dependent markov chains, unsynchronised AIMD, and network utility maximization – ident: ref13 doi: 10.1017/S000186780001140X – ident: ref10 doi: 10.1109/INFCOM.2002.1019264 – start-page: 1234 year: 2001 ident: ref27 article-title: Analysis of a TCP hybrid model publication-title: Proc 39th Annu Allerton Conf Communication Control and Computing – year: 2016 ident: ref32 article-title: Distributed load management supporting power injection and reactive power balancing – start-page: 105 year: 2000 ident: ref26 article-title: Mathematical modelling of the internet publication-title: Proc ICIAM 99 (Edinburgh) 4th Int Congr Industrial Applied Mathematics – year: 2014 ident: ref6 article-title: Nonhomogeneous place-dependent markov chains, unsynchronised AIMD, and network utility maximization – volume: 32 start-page: 1460 year: 2009 ident: ref11 article-title: A comprehensive TCP fairness analysis in high speed networks publication-title: Comput Commun doi: 10.1016/j.comcom.2009.05.003 – ident: ref17 doi: 10.1145/1925861.1925879 |
| SSID | ssj0016441 |
| Score | 2.2843742 |
| Snippet | One of the most successful distributed resource allocation algorithms to be deployed in industry is the Additive-Increase Multiplicative-Decrease (AIMD)... |
| SourceID | crossref ieee |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 6392 |
| SubjectTerms | AIMD Artificial intelligence congestion control Context awareness Convergence distributed control Heuristic algorithms positive systems resource allocation algorithm Resource management TCP Transportation |
| Title | On the AIMD Algorithm Under Saturation Constraints |
| URI | https://ieeexplore.ieee.org/document/7812608 |
| Volume | 62 |
| WOSCitedRecordID | wos000417090000025&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVIEE databaseName: IEEE Electronic Library (IEL) customDbUrl: eissn: 1558-2523 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0016441 issn: 0018-9286 databaseCode: RIE dateStart: 19630101 isFulltext: true titleUrlDefault: https://ieeexplore.ieee.org/ providerName: IEEE |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV09T8MwED2VigEGvgqifMkDCxJpUzuJ4zEqVDBQkChSt8i9OIBUWtSm_H58TggMCIktiuzIepf4nnN37wDOI2P3uN5Ee8aV5GgeeCowoSesuXUPMxUhumYTcjiMx2P10IDLuhbGGOOSz0yHLl0sP5vjin6VdaX1RhFV9q5JGZW1WnXEgPx6uevaD5jHdUjSV91R0qccLtnhkaUXTozy2wX96KniXMpg-3-L2YGtijqypLT1LjTMbA82fwgKtoDfz5hldCy5vbtiyfR5bo_-L2_MNTdij6Th6QzBqE2naw5RLPfhaXA96t94VVcEDy3ZKjzEnCuOcTwJQ825IkExzYXMLPPkKgtibWkMStShNhmGsRZ5NpEkwoKWLPS0OIDmbD4zh8ByXwdCiEAJgQE9U1n4yGvyOM9M6Leh-wVUipVkOC1umrqjg69SC21K0KYVtG24qGe8l3IZf4xtEar1uArQo99vH8MGTS4zSU6gWSxW5hTW8aN4XS7O3LvwCZeKruk |
| linkProvider | IEEE |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3dS8MwED-GCuqDX1Ocn3nwRbBbl6QfeSzTseE2BSfsrWTXVIW5ydb595ukte5BBN9KSUP4XZv7pXf3O4ArX-k9rjmWjrIlOZJyR3DlOUybWzYxET6ibTYRDAbhaCQeK3BT1sIopWzymaqbSxvLT2a4NL_KGoH2Rr6p7F33OKduXq1VxgyMZ8_3Xf0J07AMSrqiMYxaJosrqFNfEwwrR_njhFa6qlin0t7933L2YKcgjyTKrb0PFTU9gO0VScEq0Icp0ZyORN3-LYkmLzN9-H99J7a9EXkyKp7WFMQ06rTtIbLFITy374atjlP0RXBQ063MQUypoBiGY8-TlAojKSYpCxLNPalIeCg1kcEApSdVgl4oWZqMAyPDgpouNCU7grXpbKqOgaSu5IwxLhhDbuYUGj7jN2mYJspza9D4BirGQjTcLG4S28ODK2INbWygjQtoa3BdPvGRC2b8MbZqUC3HFYCe_H77EjY7w34v7nUH96ewZSbK80rOYC2bL9U5bOBn9raYX9j34gvjMbIw |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=On+the+AIMD+Algorithm+Under+Saturation+Constraints&rft.jtitle=IEEE+transactions+on+automatic+control&rft.au=Studli%2C+S.&rft.au=Corless%2C+M.&rft.au=Middleton%2C+R.+H.&rft.au=Shorten%2C+R.&rft.date=2017-12-01&rft.issn=0018-9286&rft.eissn=1558-2523&rft.volume=62&rft.issue=12&rft.spage=6392&rft.epage=6398&rft_id=info:doi/10.1109%2FTAC.2017.2651160&rft.externalDBID=n%2Fa&rft.externalDocID=10_1109_TAC_2017_2651160 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0018-9286&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0018-9286&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0018-9286&client=summon |