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The performance of networks that use the Internet Protocol is sensitive toprecise configuration of many low-level parameters on each network device.These settings govern the action of dynamic routing protocols, which direct theflow of traffic; in order to ensure that these dynamic protocols all convergeto produce some 'optimal' flow, each parameter must be set correctly. Multipleconflicting optimization objectives, nondeterminism, and the need to reasonabout different failure scenarios make the task particularly complicated.  We present a fast and flexible approach for the analysis of a number of suchmanagement tasks presented in the context of BGP routing. The idea is tocombine {\em logical} satisfiability criteria with traditional {\em numerical}optimization, to reach a desired traffic flow outcome subject to givenconstraints on the routing process. The method can then be used to probeparameter sensitivity, trade-offs in the selection of optimization goals,resilience to failure, and so forth. The theory is underpinned by a rigorousabstraction of the convergence of distributed asynchronous message-passingprotocols, and is therefore generalizable to other scenarios. Our resultinghybrid engine is faster than either purely logical or purely numericalternatives, making it potentially feasible for interactive production use.

FixRoute: A Unified Logic and Numerical Tool for Provably Safe Internet Traffic Engineering