Admission control for combined guaranteed performance and best effort sessions under heavy traffic

Communications systems often have many types of users, which can be divided into two types: guaranteed performance (GP) and best effort (BE). Since they share the same resource, there is a conflict in their needs. This conflict leads to the imposition of controls on admission or elsewhere. We consider an admission control of GP customer which has two roles: 1) to guarantee the performance of the existing GP customers, and 2) to regulate the congestion for the BE users. Several optimal control problems are formulated and optimal or nearly optimal controls are obtained using heavy traffic approximations.