A heterogeneous approach to fair resource allocation and its application in femtocell networks

We have recently extended the notion of alpha fairness to include time scale considerations for fair assignment of resources. Two extreme cases are elastic traffic (file transfer) and interactive voice. In this paper we consider time scale separation in the fairness that is related to the mobility of the users. We propose and solve the problem when the utilities are linear in the resources. We apply these results in the context of fair resource allocation in femtocell networks in a dynamic setting. We show how mobility and the constraints on the averaging durations impact the amount of resources each user gets.