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Consider a battery limited energy harvesting communication system with onlinepower control. Assuming independent and identically distributed (i.i.d.) energyarrivals and the harvest-store-use architecture, it is shown that the greedypolicy achieves the maximum throughput if and only if the battery capacity isbelow a certain positive threshold that admits a precise characterization.Simple lower and upper bounds on this threshold are established. The asymptoticrelationship between the threshold and the mean of the energy arrival processis analyzed for several examples.

On the Optimality of the Greedy Policy for Battery Limited Energy Harvesting Communications