Multi-objective bandwidth and power allocation for energy-efficient uplink communications

This paper investigates joint bandwidth and power allocation for energy-efficient uplink communication in cellular networks. Instead of overall system energy efficiency (EE), we focus on maximizing the EE for each individual user while guaranteeing the quality-of-service. Therefore, a multi-objective optimization problem is formulated. To find its optimal solutions, we first utilize two different methods to convert the multi-objective optimization problem into single objective optimization problems. They are the scalarization method to maximize the weighted summation of users' EE and the max-min method to maximize the minimum EE among users. Then, we develop an effective algorithm based on the sum-of-ratios optimization to solve the scalarization problem, and an algorithm based on the generalized fractional programming to solve the max-min optimization. We also discuss a simple scenario with equivalent bandwidth allocation as a benchmark. Numerical results are provided to validate the effectiveness of the proposed algorithms.