Impacts of initial states on the short term fairness of one-bit feedback fair scheduler

Various packet schedulers exploiting multiuser diversity in wireless networks have been proposed and studied, because the utilization of multiuser diversity can increase the information theoretic capacity. It is, however, known that there exists a tradeoff between the capacity and fairness achieved by schedulers exploiting multiuser diversity. Among schedulers exploiting multiuser diversity, the one-bit feedback fair scheduler is considered as an attractive choice due to its good balance between the capacity and fairness. In this paper, considering the statistical time-access fairness index (STAFI) as a measure of short term fairness, we study the properties of the short term fairness provided by the one-bit feedback fair scheduler. In particular, we investigate the impacts of the initial states of mobile stations (MSs) on the STAFI. Numerical results show that the initial states of MSs substantially affect various properties of the short term fairness provided by the one-bit feedback fair scheduler.