In order to achieve satisfactory performance in broadband Integrated Services Digital Networks (ISDNs), some techniques to control flow of information traffic, are necessary. Bandwidth allocation, bandwidth enforcement, and load balancing, are some of the examples of these techniques. Unfortunately, some of these techniques result in unfair distribution of resources among users. Recently, fairness in resource sharing systems has received significant attention among researchers.In this paper, we discuss, in comparative terms, several resource allocation techniques along with their fairness aspects in broadband ISDNs. We will also propose a threshold-based scheme to minimize the blocking probability and improve fairness.