Sum Inverse Energy Efficiency Minimization for Multiple Links with Time Sharing.

In this paper, a sum inverse energy efficiency (SIEE) minimization problem for multi-link systems is studied. Compared with conventional sum energy efficiency (EE) maximization problems, minimizing SIEE achieves a better fairness. Based on a framework for solving sum-fraction minimization (SFMin) problems, this paper investigates the resource (time fraction and power) allocation problem where links are separated in the time domain. Closed-form solutions are found for the reformulated problem. By using Newton’s method for system of equations, iterative algorithms are proposed to find the solution thanks to the closed-form expressions. Numerical results confirm the fast convergence of the algorithm for SFMin problems. Simulation results show that the algorithm convergences fast with practical parameter when each subproblem uses Newton’s method. Impacts of system parameters on the resource allocation are also investigated.