On the optimal proportional fair radio resource management in 5G cellular networks

We consider the problem of the optimal radio resource management in MU-MIMO 5G cellular networks in Full Buffer traffic model. Unlike in the networks of the previous generation, in 5G users can share the same frequency resource with a small loss of quality, which leads to a more complicated problem statement. We study properties of the proportionally fair scheduler that meets the problem of maximizing the sum of logarithms of users’ average rates. We propose a computationally simple algorithm based on the studied properties that improves the proportional fairness in comparison with other well-known algorithms. The algorithms were compared using realistic data generated by the Sionna library.