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A sum inverse energy efficiency (SIEE) minimization problem is solved.Compared with conventional sum energy efficiency (EE) maximization problems,minimizing SIEE achieves a better fairness. The paper begins by proposing aframework for solving sum-fraction minimization (SFMin) problems, then uses anovel transform to solve the SIEE minimization problem in a multiple basestation (BS) system. After the reformulation into a multi-convex problem, thealternating direction method of multipliers (ADMM) is used to further simplifythe problem. Numerical results confirm the efficiency of the transform and thefairness improvement of the SIEE minimization. Simulation results show that thealgorithm convergences fast and the ADMM method is efficient.

Minimization of Sum Inverse Energy Efficiency for Multiple Base Station Systems