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The authors investigate the joint problem of relay selection and optimal sharing of relay power in wireless cellular networks with multicast traffic. They use two different performance metrics to maximize the network performance. They first present a mixed Boolean-convex optimization model to maximize the overall network capacity and solve this combinatorial problem optimally using branch and bound technique. They then show that obtaining the optimal solution is computationally not feasible for large network sizes and, unlike the case of unicast traffic, a water filling method does not yield near optimal solutions in multicast scenarios.
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