Asymptotically accurate flow completion time distributions under fair queueing

Paper

Addie, R. G. and Yevdokimov, Oleksiy. 2008. "Asymptotically accurate flow completion time distributions under fair queueing." Green, Richard (ed.) Australasian Telecommunication Networks and Applications Conference (ATNAC 2007): Next Generation Networks: Enabling Closer International Cooperation. Christchurch, New Zealand 02 - 05 Dec 2007 Piscataway, NJ. United States. https://doi.org/10.1109/ATNAC.2007.4665290
Paper/Presentation Title

Asymptotically accurate flow completion time distributions under fair queueing

Presentation TypePaper
AuthorsAddie, R. G. (Author) and Yevdokimov, Oleksiy (Author)
EditorsGreen, Richard
Journal or Proceedings TitleProceedings of the Australasian Telecommunication Networks and Applications Conference (ATNAC 2007)
ERA Conference ID50278
Number of Pages7
Year2008
Place of PublicationPiscataway, NJ. United States
ISBN9781424415571
9781424415588
Digital Object Identifier (DOI)https://doi.org/10.1109/ATNAC.2007.4665290
Web Address (URL) of Paperhttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4665290
Conference/EventAustralasian Telecommunication Networks and Applications Conference (ATNAC 2007): Next Generation Networks: Enabling Closer International Cooperation
Australasian Telecommunication Networks and Applications Conference
Event Details
Australasian Telecommunication Networks and Applications Conference (ATNAC 2007): Next Generation Networks: Enabling Closer International Cooperation
Event Date
02 to end of 05 Dec 2007
Event Location
Christchurch, New Zealand
Event Details
Australasian Telecommunication Networks and Applications Conference
ATNAC
Abstract

Fair Queueing (FQ) is a very important queue discipline because it is sometimes viewed as a satisfactory model of the way Internet routers share their time between flows at present, and sometimes viewed as an ideal to which Internet router queueing algorithms aspire. The really important performance measure for flows is {\em flow completion time} FCT), however no formula for the distribution of FCT is known at present under realistic assumptions for flow size distribution. In this paper, we discover that the distribution of the number of active flows under FQ when flows have a Pareto distribution (a realistic model for flow lengths) is approximately geometric, where the approximation is asymptotically accurate as the flow distributions become more heavy tailed. This then provides an estimate for the FCT distribution.

Keywordsfair queueing; internet router queueing algorithms; Pareto distribution; flow completion time distributions; flow size distribution
ANZSRC Field of Research 2020490510. Stochastic analysis and modelling
400604. Network engineering
400699. Communications engineering not elsewhere classified
Public Notes

© 2008 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Byline AffiliationsDepartment of Mathematics and Computing
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About a constructivist approach for stimulating students' thinking to produce conjectures and their proving in active learning of geometry
Yevdokimov, Oleksiy. 2006. "About a constructivist approach for stimulating students' thinking to produce conjectures and their proving in active learning of geometry." Bosch, Marianna, Perpinan, Marta and Portabella, M. Angels (ed.) 4th Congress of the European Society for Research in Mathematics Education. Sant Feliu de Guixols, Spain 17 - 21 Feb 2005 Barcelona, Spain.
On development of students' abilities in problem posing: a case of plan geometry
Yevdokimov, Oleksiy. 2005. "On development of students' abilities in problem posing: a case of plan geometry ." Gagatsis, Athanasios, Spagnolo, Filippo, Makrides, Gregory and Farmaki, Vassiliki (ed.) 4th Mediterranean Conference on Mathematics Education. Palermo, Italy 28 - 30 Jan 2005 Palermo, Italy.
Protecting small flows from large ones for quality of service
Addie, R. G., Yevdokimov, Oleksiy, Braithwaite, Stephen and Millsom, David. 2007. "Protecting small flows from large ones for quality of service." Bernstein, David, Dini, Petre, Hladka, Eva, Reza, Hassan, Romascanu, Dan and Sankar, Krishna (ed.) 2nd International Conference on Digital Telecommunications (ICDT 2007). San Jose, United States 01 - 06 Jul 2007 Piscataway, NJ. United States. https://doi.org/10.1109/ICDT.2007.68
Time variation characteristics of MIMO-OFDM broadband channels in populated indoor environments
Das Gupta, Jishu, Ziri-Castro, Karla and Addie, Ron. 2006. "Time variation characteristics of MIMO-OFDM broadband channels in populated indoor environments." Ellershaw, John (ed.) Australian Telecommunications Networks and Applications Conference (ATNAC 2006). Melbourne, Australia 04 - 06 Dec 2006 Melbourne, Australia.
Netml: a language and website for collaborative work on networks and their algorithms
Addie, Ron, Braithwaite, Stephen and Zareer, Abdulla. 2006. "Netml: a language and website for collaborative work on networks and their algorithms." Ellershaw, John (ed.) Australian Telecommunications Networks and Applications Conference (ATNAC 2006). Melbourne, Australia 04 - 06 Dec 2006 Melbourne Australia.
Aggregate flows: for efficient management of large flows in the internet
Addie, Ron, Braithwaite, Stephen, Das Gupta, Jishu and Leis, John W.. 2006. "Aggregate flows: for efficient management of large flows in the internet." WITSP 2006: 5th Workshop on the Internet, Telecommunications and Signal Processing. Hobart, Australia 11 - 13 Dec 2006 Tarrawanna, N.S.W., Australia.
Comparing different approaches to the use of DiffServ in the internet
McNickle, Don and Addie, Ron. 2005. "Comparing different approaches to the use of DiffServ in the internet." Vinnal, E. (ed.) 2005 IEEE Region 10 International Conference (TENCON 2005). Melbourne, Australia 21 - 24 Nov 2005 Melbourne, Australia. https://doi.org/10.1109/TENCON.2005.301038