Fair power and transmission rate control in wireless networks

In third generation mobile networks, transmission rates can be assigned to both real time and non real time applications. We address in this paper the question of how to allocate transmission rates in a manner that is both optimal and fair. As optimality criterion we use the Pareto optimality notion, and as fairness criterion we use a general concept of which the max-min fairness (which is the standardized fairness concept in ATM networks) and the proportional fairness (which characterizes fairness obtained by transport protocols for the Internet) are special cases. We formulate the fair allocation problems as optimization problems and propose an approximating solution.