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MDLT: a polynomial time optimal algorithm for maximization of time-to-first- failure in energy constrained wireless broadcast networks

We consider the problem of maximizing the time-to-first-failure, defined as the time till the first node in the network runs out of battery energy, in energy constrained broadcast wireless networks. We discuss a greedy algorithm and prove that it solves the problem optimally for a broadcast application, in polynomial time, provided the complete power matrix and the battery residual capacities are known.