Proceedings of the 2003 Conference on Applications, Technologies, Architectures, and Protocols for Computer Communications - S 2003
DOI: 10.1145/863961.863963
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Network routing with path vector protocols

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Cited by 72 publications
(108 citation statements)
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“…A concise model for this setting is that of routing algebras [4,5,14,15]. In this paper, a routing algebra A is defined as a totally ordered monoid with a compatible infinity element.…”
Section: An Algebraic Model For Policy Routingmentioning
confidence: 99%
See 1 more Smart Citation
“…A concise model for this setting is that of routing algebras [4,5,14,15]. In this paper, a routing algebra A is defined as a totally ordered monoid with a compatible infinity element.…”
Section: An Algebraic Model For Policy Routingmentioning
confidence: 99%
“…Originally in shortest path routing the rule was simply to pick the least cost path with respect to some additive link weights, but network operators have increasingly turned towards more sophisticated policies like path reliability and resilience [17], bandwidth and perceived congestion [8,16], business relations and service level agreements [2], etc. These routing policies, and the computational complexity of the path selection problem thereof, are well-understood today, thanks to the theory of routing algebras [4,5,14,15].…”
Section: Introductionmentioning
confidence: 99%
“…João Luís Sobrinho provides an algebraic framework for the examination of path vector protocols [11]. In doing so, he allows us to more easily prove whether a given protocol will converge by examining the protocol's monotonic and isotonic properties, where monotonicity means that the weight, or cost, of a path does not decrease when the path is extended and isotonicity means that the relationship between the weights of two paths with the same origin is preserved when both paths are extended to the same node.…”
Section: Convergence Of Ipvpmentioning
confidence: 99%
“…Advances in the theory of policy-based routing (for example, [5]- [7]) have yielded sufficient conditions that ensure BGP safety -that is, guarantees of convergence to a unique stable state. Yet flexibility is typically seen as the more important concern in the operation of real-world networks.…”
Section: Introductionmentioning
confidence: 99%