34 600 700 800 900 1000 1100 1200 1300 1400 1500 0 0.02 0.04 0.06 Probability Mass Function Distance of the allocated interfering users from the BS of interest [m] 600 700 800 900 1000 1100 1200 1300 1400 1500 0 0.1 0.2 Histogram by Simulations Analytical PMF 600 700 800 900 1000 1100 1200 1300 1400 1500 0 0.1 0.2 Proportional Fair Scheduling Greedy Scheduling Round Robin Scheduling Fig. 3. PMF of the distance at which the users in the interfering cells are allocated (i.e., PMF of ˜ r sel ) for proportional fair, greedy and round robin scheduling schemes with path loss exponent β = 2 . 6 , U = 50 , I = 720 , χ ∼ Gamma(3 / 2 , 2 / 3) , Number of Monte-Carlo simulations =100,000, C =60 dB, P max =1W, σ $^{2}$=-174 dBm/Hz, Δ =50 m.