Effect of initial states on statistical time-access fairness index of one-bit feedback fair scheduler

Much attention has been paid to schedulers exploiting multiuser diversity in wireless networks, because such schedulers can increase the information theoretic capacity. It is, however, known that there exists a tradeoff between capacity and fairness achieved by schedulers exploiting multiuser diversity. Due to its good balance between capacity and fairness, the one-bit feedback fair scheduler is considered as an attractive choice. In this paper, we consider the one-bit feedback fair scheduler and investigate its short term fairness. In particular, we consider the statistical time-access fairness index (STAFI) as a short term fairness index, and we study the impact of the initial states of mobile stations (MSs) on the STAFI. Numerical results show that the effect of the initial states of MSs on the STAFI remains for a relatively long time.