On Throughput Maximization Problem for UWB-Based Sensor Networks via Reformulation–Linearization Technique

Nonlinear optimization problems (if not convex) are NP-hard in general. One effective approach to develop efficient solutions for these problems is to apply the branch-and-bound (BB) framework. A key step in BB is to obtain a tight linear relaxation for each nonlinear term. In this chapter, we show how to apply a powerful technique, called Reformulation–Linearization Technique (RLT), for this purpose. We consider a throughput maximization problem for an ultra-wideband (UWB)-based sensor network. Given a set of source sensor nodes in the network with each node generating a certain data rate, we want to determine whether or not it is possible to relay all these rates successfully to the base station. We formulate an optimization problem, with joint consideration of physical layer power control, link layer scheduling, and network layer routing. We show how to solve this nonlinear optimization problem by applying RLT and BB. We also use numerical results to demonstrate the efficacy of the proposed solution.

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