This paper deals with the performance evaluation of some congestion control schemes for elastic traffic in wireless cellular networks with power allocation/control. These schemes allow us to identify the {\em feasible configurations of instantaneous} up- and downlink {\em bit-rates} of users; i.e., such that {\em can be obtained by allocating respective powers}, taking into account in an exact way the interference created in the whole, multicellular network. We consider the bit-rate configurations identified by these schemes as {\em feasible sets for some classical, maximal fair resource allocation policies}, and study their performance in the long-term evolution of the system. Specifically, we assume Markovian arrivals, departures and mobility of customers, which transmit some given data-volumes, as well as some temporal channel variability (fading), and study the {\em mean throughput} i.e., the mean bit-rates that the policies offer in different parts of a given cell. Explicit formulas are obtained in the case of {\em proportional fair policies}, which may or may-not take advantage of the fading, for {\em null} or {\em infinitely rapid customer mobility}. This approach applies also to a channel shared by the elastic traffic and a strea ing, with predefined customer bit-rates,regulated by the respective admission policy.