On Describing the Routing Capacity Regions of Networks
Optimization and Control
2012-02-13 v2 Information Theory
Networking and Internet Architecture
math.IT
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
Cite
@article{arxiv.1004.1236,
title = {On Describing the Routing Capacity Regions of Networks},
author = {Ali Kakhbod and S. M. Sadegh Tabatabaei Yazdi},
journal= {arXiv preprint arXiv:1004.1236},
year = {2012}
}