Elongatedness

From formulasearchengine
Revision as of 13:49, 16 March 2013 by en>Addbot (Bot: Migrating 1 interwiki links, now provided by Wikidata on d:q5367164)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

TCP-Illinois is a variant of TCP congestion control protocol, developed at the University of Illinois at Urbana-Champaign. It is especially targeted at high-speed, long-distance networks. A sender side modification to the standard TCP congestion control algorithm, it achieves a higher average throughput than the standard TCP, allocates the network resource fairly as the standard TCP, is compatible with the standard TCP, and provides incentives for TCP users to switch.


Principles of operation

TCP-Illinois is a loss-delay based algorithm, which uses packet loss as the primary congestion signal to determine the direction of window size change, and uses queuing delay as the secondary congestion signal to adjust the pace of window size change. Similarly to the standard TCP, TCP-Illinois increases the window size W by α/W for each acknowledgment, and decreases W by βW for each loss event. Unlike the standard TCP, α and β are not constants. Instead, they are functions of average queuing delay da: α=f1(da),β=f2(da), where f1() is decreasing and f2() is increasing.

There are numerous choices of f1() and f2(). One such class is:

α=f1(da)={αmaxif dad1κ1κ2+daotherwise.

β=f2(da)={βminif dad2κ3+κ4daif d2<da<d3βmaxotherwise.

We let f1() and f2() be continuous functions and thus κ1κ2+d1=αmax, βmin=κ3+κ4d2 and βmax=κ3+κ4d3. Suppose dm is the maximum average queuing delay and we denote αmin=f1(dm), then we also have κ1κ2+dm=αmin. From these conditions, we have

κ1=(dmd1)αminαmaxαmaxαminandκ2=(dmd1)αminαmaxαmind1,κ3=βmind3βmaxd2d3d2andκ4=βmaxβmind3d2. This specific choice is demonstrated in Figure 1.

File:Tcpillinois1.jpg

Properties and Performance

TCP-Illinois increases the throughput much more quickly than TCP when congestion is far and increases the throughput very slowly when congestion is imminent. As a result, the window curve is concave and the average throughput achieved is much larger than the standard TCP, see Figure 2.

File:Tcpillinois2.jpg

It also has many other desirable features, like fairness, compatibility with the standard TCP, providing incentive for TCP users to switch, robust against inaccurate delay measurement.


References

See also

External links