Arjona Villicaña, Pedro David
(2010).
Chain Routing: A novel routing framework for increasing resilience and stability in the Internet.
University of Birmingham.
Ph.D.
Abstract
This study investigates the Internet's resilience to instabilities caused by the mismatch of its topological state and routing information. A first numerical analysis proves that the Internet possesses unused path diversity which could be employed to strengthen its resilience to failures. Therefore, a new routing framework called Chain Routing, which takes advantage of such path diversity, is proposed. This novel idea is based in the mathematical concept of complete order, which is a binary relation that is irreflexive, asymmetric, transitive and complete. More important is the fact that complete orders, when represented as a graph, are the most connected digraph that does not contain any cycles. Consequently, a complete order could be applied to route information from a source to a destination with the guarantee that cycles will not develop in a path. A second numerical analysis demonstrates the feasibility of implementing Chain Routing as part of a routing protocol. Finally, an analysis is presented on how network stability could be maintained if a routing protocol integrates complete orders in time and topology.
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