Title :
A study of the routing capacity regions of networks
Author :
Kakhbod, Ali ; Savari, Serap A. ; Yazdi, S. M Sadegh Tabatabaei
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Univ. of Michigan, Ann Arbor, MI
Abstract :
The routing capacity region of networks with multiple unicast sessions can be characterized using Farkas´ lemma as an infinite set of linear inequalities. In this paper this result is sharpened by exploiting properties of the solution satisfied by each rate-tuple on the boundary of the capacity region, and a finite description of the routing capacity region which depends on network parameters is offered. For the special case of undirected ring networks additional results on the complexity of the description are provided.
Keywords :
linear programming; multicast communication; telecommunication network routing; infinite set of linear inequalities; linear programming; multiple unicast sessions; network parameter; network routing; rate-tuple; routing capacity region; undirected ring networks; Communication standards; Error correction; Linear programming; Network coding; Routing; Sufficient conditions; Telecommunication network reliability; Throughput; Transmitters; Unicast; linear programming; multicast sessions; network capacity; routing;
Conference_Titel :
Signals, Systems and Computers, 2008 42nd Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
978-1-4244-2940-0
Electronic_ISBN :
1058-6393
DOI :
10.1109/ACSSC.2008.5074831