Optimal energy control in energy-constrained wireless networks with random arrivals under stability constraints

We consider the crucial problem of minimization of energy consumption in energy-constrained wireless networks with Poisson arrivals. We propose an energy control concept utilizing the nature of the Poisson process and the average knowledge of its parameters. Compared to the traditional energy control the proposed approach provides advantages in terms of delay. We provide an extensive analysis of the underlying optimization problem in terms of solvability, convexity and implementational effort. This results in the characterization of numerous useful features and the exhibition of essential differences to the traditional energy control approach.