33 50 100 150 200 250 300 350 400 450 500 0 0.2 0.4 0.6 50 100 150 200 250 300 350 400 450 500 0 0.1 0.2 0.3 Distance of the allocated users from the BS [m] Probability Mass Function 0 100 200 300 400 500 0 0.1 0.2 Histogram by Simulations Analytical PMF Greedy Scheduling Round Robin Scheduling Proportional Fair Scheduling Fig. 2. PMF of the distance of the allocated users in a given cell (i.e., PMF of r sel ) for proportional fair, greedy and round robin scheduling schemes with path loss exponent β = 2 . 6 , U = 50 , Number of Monte-Carlo simulations =100,000, C =60 dB, P max =1W, σ $^{2}$=-174 dBm/Hz.