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We formulate the real-time routing problem in static multi-hop wireless networks as an optimization problem, whose solution is the optimal routes relative to an end- to-end delay based objective. The problem is formulated as a mixed integer linear program. The variance of the delay with respect to the aggregate interference measures is empirically studied and a linear approximation is proposed. We show that this formulation yields routes that significantly outperform the best routes obtained by OLSR. Finally, we discuss the applications of such a model both in terms of capacity analysis, on-line algorithms for static scenarios, and extensions to allow the development of distributed protocols that solve the optimization problem.
Date of Conference: 22-26 Oct. 2007