To be fair or efficient or a bit of both

Abstract

Introducing a new concept of (α, β)-fairness, which allows for a bounded fairness compromise, so that a source is allocated a rate neither less than 0 ≤ α ≤ 1, nor more than β ≥ 1, times its fair share, this paper provides a framework to optimize efficiency (utilization, throughput or revenue) subject to fairness constraints in a general telecommunications network for an arbitrary fairness criterion and cost functions. We formulate a non-linear program (NLP) that finds the optimal bandwidth allocation by maximizing efficiency subject to (α, β)-fairness constraints. This leads to what we call an efficiency-fairness function, which shows the benefit in efficiency as a function of the extent to..